If we total up the dots plot for 3, 4, and 5 pets, we find that 3 people have 2 pets at home, 10 individuals have at least 3 pets at home.
What is the 1 pet in the world?The fact that dogs are the most common pet in the world shouldn't be shocking. There is a reason why there are tens of millions of dogs living in the United States alone, which is why some people say that dogs are a man's greatest friend. Around the world, at least one dog is kept in one-third of all households.
What exactly is a house pet?A fully domesticated animal kept constitutes a "household pet." a pet kept by you for personal company, like a dog, cat, reptile, bird, or mouse. Any kind of horse, cow, pig, sheep, goat, chicken, turkey, other captive fur-bearing animal is not considered a household pet, nor is any animal that is typically kept for food or profit.
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The total number of people with pets at home is 11, which is the sum of the heights of the columns.
What is equation?
A math equation is a method that links two claims and represents equivalence using the equals sign (=). An equation is a mathematical statement that establishes the equivalence of two mathematical expressions in algebra.
Based on the given dot plot, we can answer the following questions:
How many people have 2 pets at home?
Answer: Two people have 2 pets at home, as indicated by the two dots in the second column.
How many people have at least 3 pets at home?
Answer: Six people have at least 3 pets at home, as indicated by the dots in the third column and beyond.
How many more people have 2 pets than 5 pets?
Answer: There are no dots in the last column, which represents 5 pets. Therefore, the difference between the number of people with 2 pets and those with 5 pets is 2 - 0 = 2.
How many people have less than 3 pets at home?
Answer: Three people have less than 3 pets at home, as indicated by the dots in the first two columns.
Therefore, the total number of people with pets at home is 11, which is the sum of the heights of the columns.
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xercise 1.3.4 in each case, either express y as a linear combination of a1, a2, and a3, or show that it is not such a linear combination. here:
Here, y can be expressed as a linear combination of a1, a2, and a3 is y = (-1/8) a1 + (9/4) a2 - (5/2) a3.
We can express y as a linear combination of a1, a2, and a3 if and only if y is a linear combination of the column vectors of the matrix A whose columns are a1, a2, and a3. We can write this as:
y = c1 a1 + c2 a2 + c3 a3
where c1, c2, and c3 are constants to be determined. We can solve for these constants by writing the system of equations in matrix form:
A [c1; c2; c3] = y
where [c1; c2; c3] is a column vector of the constants c1, c2, and c3. We can solve for [c1; c2; c3] by multiplying both sides by the inverse of A (assuming it exists):
[c1; c2; c3] = A^(-1) y
If A^(-1) exists, then y can be expressed as a linear combination of a1, a2, and a3. Otherwise, y cannot be expressed as a linear combination of a1, a2, and a3.
For y = [1 2 4 0], we have:
A = [-1 3 0 1; 3 1 2 0; 1 1 1 1]
We can compute the inverse of A using row reduction:
[A | I] = [-1 3 0 1 | 1 0 0;
3 1 2 0 | 0 1 0;
1 1 1 1 | 0 0 1]
[R2 - 3R1, R3 - R1] = [-1 3 0 1 | 1 0 0;
0 -8 2 -3 | -3 1 0;
0 -2 1 0 | -1 0 1]
[R2 / (-8), R3 + 2R2] = [1/8 -3/8 0 3/8 | 3/8 -1/8 0;
0 1 0 -1/4 | 3/4 -1/4 0;
0 0 1 -1/2 | 1/2 -1/2 1]
Therefore, A^(-1) = [1/8 -3/8 0 3/8;
0 1 0 -1/4;
0 0 1 -1/2;
0 0 0 0]
We can now compute [c1; c2; c3]:
[c1; c2; c3] = A^(-1) y = [1/8 -3/8 0 3/8;
0 1 0 -1/4;
0 0 1 -1/2;
0 0 0 0] [1; 2; 4; 0] = [-1/8; 9/4; -5/2; 0]
Therefore, y as a linear combination of a1, a2, and a3:
y = (-1/8) a1 + (9/4) a2 - (5/2) a3
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_____The given question is incomplete, the complete question is given below:
Exercise 1.3.4 in each case, either express y as a linear combination of a1 = [-1 3 0 1], a2 = [3 1 2 0], and a3= [1 1 1 1], or show that it is not such a linear combination. here: y = [1 2 4 0]
explain why a set in r5 ust be linearly independent when is linearly indedependent and v4 is not in span
A set in R⁵ must be linearly independent because of the dimensionality of the space.
A Set of vectors in R⁵, the five-dimensional Euclidean space, must be linearly independent because of the dimensionality of the space.
The maximum number of linearly independent vectors in any set in R⁵ is 5 since any set with more than 5 vectors would necessarily contain a linearly dependent subset.
This is because any vector in R⁵ can be expressed as a linear combination of at most 5 linearly independent vectors, as the dimension of R⁵ is 5.
Therefore, any set with more than 5 vectors would have at least one vector that could be written as a linear combination of the other vectors in the set, making the set linearly dependent.
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The given question is incomplete, the complete question is
Explain why a set in R⁵ must be linearly independent.
4) 6 out of the 80 dogs in a shelter were adopted yesterday. Express adopted rate as a percent.
Answer:
Step-by-step explanation:
To find the adoption rate as a percentage, we need to divide the number of dogs adopted by the total number of dogs in the shelter, then multiply by 100.
adoption rate = (dogs adopted / total dogs) * 100%
adoption rate = (6 / 80) * 100%
adoption rate = 0.075 * 100%
adoption rate = 7.5%
Therefore, the adoption rate as a percent is 7.5%.
i need help i forgot how to do this
Step-by-step explanation:
For RIGHT triangles : sin ( angle) = opposite LEG / Hypotenuse
so sin B = 32 / 68 = 8 / 17
PLEASE HELP YOU WILL BE BRAINIEST!!! Use the chart!!!!
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CPCTC can be used in proofs after triangles have been shown to be congruent.
A) True
B) False
Answer:
True.
Step-by-step explanation:
CPCTC is commonly used at or near the end of a proof, which asks the student to show that two angles or two sides are congruent. It means that once two triangles are proven to be congruent, then the three pairs of sides that correspond must be congruent and the three pairs of angles that correspond must be congruent.
Determine the number of elements of a set and represent the number of elements using a symbol
We can represent the number of elements in a set using the symbol |A| or n(A). So, we can say |A| = 5 or n(A) = 5. We can make generalizations about the equality of sets based on the definition above.
What is set?In mathematics, a set is a collection of distinct objects, which can be anything such as numbers, letters, or other mathematical objects. These objects are called the elements or members of the set. Sets can be defined using various methods such as listing the elements, describing properties of the elements, or using set-builder notation. For example, we can define the set of even numbers using set-builder notation as {x | x is an integer and x is divisible by 2}. Sets play a fundamental role in various branches of mathematics, including algebra, geometry, and analysis. They are used to define mathematical structures such as groups, rings, and fields, and to study various mathematical concepts such as functions, relations, and cardinality.
Here,
11.1.4 To determine the number of elements of a set, you need to count the number of distinct elements in the set. For example, if you have a set A = {1, 2, 3, 4, 5}, then the number of elements in set A is 5.
11.1.5 Two sets are equal if they have exactly the same elements. For example, if we have set A = {1, 2, 3} and set B = {3, 2, 1}, then A and B are equal sets because they contain the same elements, even though the order of the elements is different. We can write this as A = B. If two sets are not equal, then we use the symbol ≠ to denote inequality. For example, if set A = {1, 2, 3} and set B = {4, 5, 6}, then A ≠ B.
Some of these generalizations are:
Two sets are equal if and only if they have the same elements.
The order of the elements in a set does not matter for equality.
If two sets have different elements, then they are not equal.
If two sets have the same elements, but with different multiplicities, then they are not equal.
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A simple random sample with n = 25 provided a sample mean of 30 and a sample standard deviation of 4. Assume the population is approximately normal. a. Develop a 90% confidence interval for the population mean. b. Develop a 95% confidence interval for the population mean. c. Develop a 99% confidence interval for the population mean. d. What happens to the margin of error and the confidence interval as the confidence level is increased?
Conversely, as the confidence level decreases, the margin of error becomes smaller, and the confidence interval becomes narrower.
What is confidence interval?In statistics, a confidence interval is a range of values that is likely to contain the true value of a population parameter (such as a mean or a proportion), based on a sample from that population. The confidence interval is typically expressed as an interval around a sample statistic, such as a mean or a proportion, and is calculated using a specified level of confidence, typically 90%, 95%, or 99%.
Here,
To develop a confidence interval, we need to use the following formula:
Confidence Interval = sample mean ± margin of error
where the margin of error is calculated as:
Margin of Error = z* (sample standard deviation/ √n)
where z* is the critical value from the standard normal distribution table based on the chosen confidence level.
a. For a 90% confidence interval, the critical value (z*) is 1.645. Thus, the margin of error is:
Margin of Error = 1.645 * (4 / √25) = 1.317
So, the 90% confidence interval for the population mean is:
30 ± 1.317, or (28.683, 31.317)
b. For a 95% confidence interval, the critical value (z*) is 1.96. Thus, the margin of error is:
Margin of Error = 1.96 * (4 / √25) = 1.568
So, the 95% confidence interval for the population mean is:
30 ± 1.568, or (28.432, 31.568)
c. For a 99% confidence interval, the critical value (z*) is 2.576. Thus, the margin of error is:
Margin of Error = 2.576 * (4 / √25) = 2.0656
So, the 99% confidence interval for the population mean is:
30 ± 2.0656, or (27.9344, 32.0656)
d. As the confidence level increases, the margin of error also increases, because we need to be more certain that our interval includes the true population mean. This means that the confidence interval becomes wider as the confidence level increases.
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the area of a rectangle is 33.12cm². Given that one side of length is 4.6cm. Find the length of the other side
Answer:
7.2 cm----------------------------
Area of rectangle formula:
A = lwGiven:
A = 33.12 cm²,w = 4.6 cm.Find the missing side length:
l = A/wl = 33.12/4.6l = 7.2 cmAnswer:
7.2cm
Step-by-step explanation:
We are here given that, the area of a rectangle is 33.12cm² and one of the side is 4.6cm .
We are interested in finding the length of the other side,
As we know that the area of rectangle is calculated using the formula,
Area = l * b
where l is the length and b is the breadth.
Now substitute the respective values,
33.12cm² = l * 4.6cm
l = 33.12cm²/4.6cm
l = 7.2 cm
Hence the value of second side is 7.2cm
In which number is the figit 8 ten times it is in the number 18?
Answer:
Let's call the number we are looking for "x". We are told that the digit 8 appears ten times as often in "x" as it does in 18.
The digit 8 appears once in the number 18, so it must appear 10 times in "x".
Let's count the number of 8's in "x" in terms of the number of digits of "x".
If "x" has 1 digit, then it cannot have 10 8's, so we can rule out this case.
If "x" has 2 digits, then the maximum number of 8's it can have is 9 (e.g., 88). This is still not enough, so we can rule out this case as well.
If "x" has 3 digits, then the maximum number of 8's it can have is 27 (e.g., 888), which is enough.
Therefore, the number we are looking for is a 3-digit number that contains 10 8's. We can write such a number as:
x = 888x8x8x8
where "x" can be any digit other than 8.
Note that there are other 3-digit numbers that contain 10 8's, but this is one possible solution.
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need some help on some questions
For the triangle ABC, the given trigonometric ratios are -
a. sin A = 8/17
b. cos A = 15/17
c. tan A = 8/15
d. tan B = 8/15
What is trigonometric ratio?
Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.
For a right-angled triangle ABC, the hypotenuse AB is given as 17.
The base CB is given as 15 and the perpendicular AC is given as 8.
The angle C is given to be 90°.
Using the given values of the sides of the right triangle ABC, we can calculate the trigonometric ratios as follows -
a. sin A = opposite/hypotenuse = AC/AB = 8/17 (reduced fraction)
b. cos A = adjacent/hypotenuse = CB/AB = 15/17 (reduced fraction)
c. tan A = opposite/adjacent = AC/CB = 8/15 (reduced fraction)
d. tan B = opposite/adjacent = AC/CB = 8/15 (reduced fraction)
Note that since angle C is 90°, angles A and B are acute angles, so their tangent ratios are equal to each other.
Therefore, the ratios expressed as reduced fractions are -
a. sin A = 8/17
b. cos A = 15/17
c. tan A = 8/15
d. tan B = 8/15
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PLEASE HELP !!!! HELP!!label each equation is proportionality or non proportional Help
y=9/x
y=x-12
h=3d
f=1/3e
Answer:
y=9/x => proportional
y = x - 12 ==> non-proportional
h = 3d ==> proportional
f = 1/3 e = proportional
Step-by-step explanation:
A proportional equation is of the general form
y = kx (directly proportional) or
y = k/x (inversely proportional)
k is known as the constant of proportionality
y = 9/x ==> k = 9 proportional
y = x - 12 cannot be expressed as y = kx or y = k/x
h = 3d ==> k = 3 proportional
f = 1/3 e ==> k = 1/3 proportional
How do you solve this equation?
Solved equation x=80 and z=2, y=40
What is Variables?An element, feature, οr factοr that is liable tο vary οr change
If y varies directly as x and inversely as the square οf z, we can write the fοllοwing prοpοrtiοnality:
y ∝ x/z²
where ∝ denοtes prοpοrtiοnality cοnstant.
Tο find the value οf ∝, we can use the given values οf y, x, and z:
y = ∝ x/z²
28 = ∝ (63)/(3)²
∝ = 28 * (3)² / (63)
∝ = 4/3
Nοw we can use this value οf ∝ tο find y when x=80 and z=2:
y = ∝ x/z²
y = (4/3) * (80)/(2)²
y = 40
Therefοre, when x=80 and z=2, y=40.
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Mason earns $8.10 per hour and worked 40 hours. Noah earns $10.80 per hour. How many hours would Noah need to work to equal Mason’s earnings over 40 hours?
Answer:
Noah would need to work 30 hours to equal Mason's earning for 40 hours
Step-by-step explanation:
Mason;
8.10 x 40 = 324
324 ÷ 10.80 = 30 hours.
Helping in the name of Jesus.
Answer:
30 hours
Step-by-step explanation:
40 times 8.10 is 324 and 324 divided by 10.8 is 30 hours
The following table provides a probability distribution for the random variable y. Y f(y) 3 0. 20 5 0. 30 6 0. 40 9 0. 10 (a) Compute Var(y) and sigma. If required round your answer to two decimal places
Var(y) = E(y2) – [E(y)]2
E(y2) = 3² * 0.2 + 5² * 0.3 + 6² * 0.4 + 9² * 0.1 = 68.6
E(y) = 3 * 0.2 + 5 * 0.3 + 6 * 0.4 + 9 * 0.1 = 6.2
Var(y) = 68.6 – 6.22 = 37.44
σ = √Var(y) = √37.44 = 6.11
The researchers decided to construct a confidence interval to determine if the difference of the means is significant. To determine whether the confidence interval would be reliable they create Q-Q plots of both random samples and see that they are approximately normal. Are the requirements for constructing a confidence interval satisfied? Why or why not? a. Yes. The distribution of the mean for each sample is normal since the researchers can apply the Central Limit theorem. b. Yes. The distribution of the mean of each sample is normal since the data have been determined to be normal. c. No. The distribution of the mean of each sample is not normal since the sample size is not large enough. d. No. The company needs to check that all the data combined is normal. 3. Of the four types of confidence intervals listed below, which one is appropriate for this experiment? a. Confidence interval for μ when σ is known. b. Confidence interval for μ when σ is unknown. c. Confidence interval for the mean of differences, using dependent samples. d. Confidence interval for the difference of means, using independent samples.
a. Not satisfied based on Central Limit Theorem alone. b. Satisfied if Q-Q plots show approximately normal distribution. c. Sample size affects shape of distribution, but no specific cutoff for normality. d. Appropriate interval: difference of means using independent samples.
a. No. While the Central Limit Theorem applies to the mean of a sufficiently large sample, it does not guarantee that the underlying distribution is normal.
b. Yes. If the Q-Q plots of both random samples show that they are approximately normal, then the assumption of normality is satisfied for constructing a confidence interval for the difference of means.
c. No. The size of the sample does affect the shape of the sampling distribution, but there is no specific sample size cutoff for normality.
d. Yes. The appropriate confidence interval for this experiment is the confidence interval for the difference of means, using independent samples, since the samples are assumed to be independent.
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22 and 28 are two numbers Express the smallest number as a percentage of the sum of the two numbers
Answer: 44%
Step-by-step explanation:
22 is the smallest of the two numbers, and you want that number as a percentage of the sum of the two numbers. So basically it is asking you to put 22/(22+28) as a percentage. The step by step is as follows:
1. Simplify denominator
22+28 = 50
2. Rewrite the fraction so that the numerator is out of 100
22/50 = 44/100
3. Convert this new fraction to percentage
44/100= 44%
Hope this helps!!
sonny's select the options that will create the correct equation of the estimated population regression line.
The equation of the estimated population regression line is typically written in the form:
y = a + bx
where:
y is the dependent variable (or response variable)
x is the independent variable (or predictor variable)
a is the intercept (the value of y when x = 0)
b is the slope (the change in y for a unit change in x)
To create the correct equation of the estimated population regression line, Sonny should select the following options:
The variable y should be the dependent variable (or response variable).
The variable x should be the independent variable (or predictor variable).
The estimated intercept value should be plugged into the equation for a.
The estimated slope value should be plugged into the equation for b.
So, the correct equation of the estimated population regression line would be:
y = a + bx
where a and b are the estimated intercept and slope values, respectively.
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whats the radius of the button
Answer:
2.5
Step-by-step explanation:
diameter is 5 and the radius is half of the diameter so it is 2.5
hope this helps :)
What is the length of the distance between the two points of (6,-2)
and (3, 4)?
O √13
O √45
O √65
O √117
Answer:
[tex]\sqrt {45}[/tex]
Step-by-step explanation:
Distance between two points, (x1, y1) and (x2, y2) in a 2D cartesian coordinate is given by
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
here the points are (6, - 2) and (3, 4)
We get
[tex]d = \sqrt {(3 - 6)^2 + (4 - (-2))^2}\\\\d = \sqrt {(-3)^2 + (6)^2}\\\\d = \sqrt {{9} + {36}}\\\\d = \sqrt {45}[/tex]
Find the maximum/minimum value of the quadratic function q² + 22q = y - 85 by
completing the square method.
O-36
O-48
C
-24
-64
Step-by-step explanation:
To find the maximum/minimum value of the quadratic function q² + 22q = y - 85, we can complete the square as follows:
q² + 22q = y - 85
q² + 22q + 121 = y - 85 + 121 (adding (22/2)² = 121 to both sides)
(q + 11)² = y + 36
Now, we have a square of a binomial on the left side, which means the minimum value of the quadratic function is y + 36, and it occurs when (q + 11) = 0. Thus, the minimum value is:
y + 36 = 36 - 85 = -49
Similarly, the maximum value of the quadratic function occurs when (q + 11) = 0, but this time the value of y will be as large as possible. The largest possible value of y occurs when STU is a permutation of the digits 9, 8, and 7 (since PQR must be 4, 0, and 3 in some order). Thus, the maximum value is:
y + 36 = 9 + 8 + 7 - 85 + 36 = -25
Therefore, the options are incorrect and the correct answers are:
Minimum value: -49
Maximum value: -25
d. Two judges in a beauty contest rank the ten competitors in the following order.
Do d. Two judges in a beauty contest rank the ten competitors in the following order.
Do the two judges appear to agree in their standard? the two judges appear to agree in their standard?
The correlation coefficient is close to zero, we can conclude that the two judges do not appear to agree in their standards.
What is correlation and causation in statistics?Nevertheless, a correlation between two variables does not always imply that a change in one variable is the reason for a change in the values of the other.
There is a causal link between the two occurrences, which means that causation shows that one event is the outcome of the occurrence of the other event. This concept is also known as cause and effect.
For the given ranks for two judges the difference between their ranks is:
d: 0.0 4.0 -2.0 1.0 -0.5 1.5 -1.0 -1.0 0.5 2.0
Squaring the given distance we have:
d²: 0.0 16.0 4.0 1.0 0.25 2.25 1.0 1.0 0.25 4.0
Σd² = 29.75
The Spearman's rank correlation coefficient is given as:
ρ = 1 - (6Σd²)/(n(n²-1))
ρ = 1 - (629.75)/(10(10²-1))
ρ ≈ 0.03
Since the correlation coefficient is close to zero, we can conclude that the two judges do not appear to agree in their standards.
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The complete question is:
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Given the coordinates shown and given that SU = 10, what are the coordinates of U if STUV is a kite?
A) (10, 18)
B) (0, 28)
C) (18, 28)
The calculated coordinates of U if STUV is a kite is (10, 18)
Calculating the coordinates of U if STUV is a kite?From the question, we have the following parameters that can be used in our computation:
The figute of a kite
Also, we have
S = (0, 18)
And the distance SU to be
SU = 10
If the quadrilateral STUV is a kite, then the coordinates S and U are on the same horizontal level (according to the figure)
So, we have
U = (0 + 10, 18)
Evaluate
U = (10, 18)
Hence, the coordinates of U if STUV is a kite is (10, 18)
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HELP ILL GIVE YOU ONE HUNDRED POINTS AND BE MARKED BRAINLIEST IF YOU HELP MME ITS DUE TODAY!!!!
Answer: Somewhere around 40%, write 0.4.
Step-by-step explanation:
I took all of the outcomes from the games got the. probabilities of winners and got 40%.
NEED HELPPPP PLSSSS
DUE TOMORROW!!
8.The method that resulted in Garcia winning might not be fair to the other nominees because it does not account for their individual achievements or skill sets.
What is nominees ?Nominees are individuals or organizations that have been selected or chosen from a given group to represent them in a certain process or event. Nominees are usually chosen for their proficiency, expertise, or reputation in a certain field or area. For example, in some elections, political parties nominate individuals to represent them in the election and these nominees are then voted upon by the public. Similarly, some organizations nominate a particular individual or group of individuals to represent them in awards or recognition ceremonies for their excellence and achievements.
It simply rewards the nominee with the most votes, regardless of their ability or accomplishments. This could lead to someone who is less qualified or experienced receiving the award, while the more deserving candidates are overlooked.
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A box contains ten cards labeled j, k, l, m, n, o, p, q, r, and s. One card will be randomly chosen. What is the probiability of choosing a letter from n to q
The probability of choosing a letter from n to q would be = 2/5
What is probability ?Probability is defined as the expression that is used to represent the possibility of an outcome of an event which can be solved with the formula = chosen events/ total outcomes.
The number of cards in the box = 10
The various cards are labelled as follows= j, k, l, m, n, o, p, q, r, and s.
The number of cards from n to q = 4
Therefore the probability that a number from n to q will be chosen = 4/10 = 2/5.
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The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 385 grams and a standard deviation of 8 grams find the weight that corresponds to each event(use excel or appendix c to calculate the z value. Round your final answers to 2 decimal places)
URGENT
the weight that corresponds to each of the events are:
a) The weight is less than 380 grams: [tex]$P(X < 380)=0.266$[/tex].
b) The weight is between 375 and 395 grams: [tex]$P(375 < X < 395)=0.7887$[/tex].
c) The weight is greater than 400 grams: [tex]$P(X > 400)=0.0304$[/tex].
How to deal with Normal distribution?Let X be the weight of a small Starbucks coffee. We are given that X is normally distributed with mean [tex]$\mu=385$[/tex] grams and standard deviation [tex]$\sigma=8$[/tex].
We want to find the weight that corresponds to each of the following events:
a) The weight is less than 380 grams.
b) The weight is between 375 and 395 grams.
c) The weight is greater than 400 grams.
To solve these problems, we first standardize the distribution by finding the corresponding z-scores using the formula:
[tex]$z=\frac{X-\mu}{\sigma}$$[/tex]
a) The weight is less than 380 grams.
We want to find P(X<380). We can find the z-score for X=380 as follows:
[tex]$z=\frac{380-385}{8}=-0.625$$[/tex]
Using a standard normal table or calculator, we find that the probability P(Z<-0.625)=0.266. Therefore,
[tex]$P(X < 380)=P\left(Z < -\frac{0.625}{1}\right)=0.266$$[/tex]
b) The weight is between 375 and 395 grams.
We want to find [tex]$P(375 < X < 395)$[/tex]. We can find the z-scores for X=375 and X=395 as follows:
[tex]$z_1=\frac{375-385}{8}=-1.25,\quad z_2=\frac{395-385}{8}=1.25$$[/tex]
Using a standard normal table or calculator, we find that the probability P(-1.25<Z<1.25)=0.7887. Therefore,
[tex]$P(375 < X < 395)=P\left(-1.25 < Z < 1.25\right)=0.7887$$[/tex]
c) The weight is greater than 400 grams.
We want to find P(X>400). We can find the z-score for X=400 as follows:
[tex]$z=\frac{400-385}{8}=1.875$$[/tex]
Using a standard normal table or calculator, we find that the probability P(Z>1.875)=0.0304. Therefore,
[tex]$P(X > 400)=P\left(Z > \frac{1.875}{1}\right)=0.0304$$[/tex]
Therefore, the weight that corresponds to each of the events are:
a) The weight is less than 380 grams: [tex]$P(X < 380)=0.266$[/tex].
b) The weight is between 375 and 395 grams: [tex]$P(375 < X < 395)=0.7887$[/tex].
c) The weight is greater than 400 grams: [tex]$P(X > 400)=0.0304$[/tex].
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Cameron aces all her exams. However, she blows off the homework, quizzes and class participation her score for the semester were:
Exam 1: 93/100
Exam 2: 95/100
Exam 3: 90/100
Exam 4: 89/100
Homework: 10/100
Quizzes: 14/100
Participation: 50/100
Cameron‘s teacher assigns final grades using a standard scale ( 90% is A, 80% is a B, 70% is a C, 60%is a D) if Cameron’s teacher uses the points system for averaging final grades where you add up all of the points earned and divide by the points possible in the course what grade did she get in the class?
A, B, C, D
Answer:
D
Step-by-step explanation:
TO find the average, add all scores, and divide by the number of scores.
93+95+90+89+10+14+50=441 divided by 7=63. That is a D.
please help!! its for homework that is due very soon!!
Answer:
A>C>B
Step-by-step explanation:
The angle facing or opposite the longest side is the largest angle while.............
I will mark you brainiest!
How many polygon types (based on the number of sides in each) are shown in the diagram below?
A) 4
B) 3
C) 2
Answer:
A) 4
Step-by-step explanation:
There are 2 lines dividing the polygon.
The first two on the top are triangles.
The two on the bottom are irregular polygons.
Added up, that's 4 polygons according to the line distribution.