Answer:
The sample mean is of 1925 calories.
The margin of error is of 75 calories.
The sample standard deviation is of 109.7992 calories.
Step-by-step explanation:
Sample mean:
The sample mean is the mean value of the two bounds of the confidence interval. So
[tex]M = \frac{1850 + 2000}{2} = 1925[/tex]
The sample mean is of 1925 calories.
The margin of error
Difference between the bounds and the sample mean. So
2000 - 1925 = 1925 - 1850 = 75 calories.
The margin of error is of 75 calories.
Sample standard deviation:
Here, I am going to expand on the t-distribution.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.898
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Since [tex]M = 75, T = 2.898, n = 18[/tex]
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]75 = 2.898\frac{s}{\sqrt{18}}[/tex]
[tex]s = \frac{75\sqrt{18}}{2.898}[/tex]
[tex]s = 109.7992[/tex]
The sample standard deviation is of 109.7992 calories.
1.1.2
Calculate the amount of VAT payable on a coffee mug that costs R75.90
(VAT exclusive)
6999999 huhuijuu harder daddy
Liam is going to invest in an account paying an interest rate of 5.7% compounded daily. How much would Liam need to invest, to the nearest ten dollars, for the value of the account to reach $23,000 in 5 years?
Answer:
The answer is 17300./ Hope this helps
The length of a shadow of a building is 29 m. The distance from the top of the building to the tip of the shadow is 36 m. Find the height of the building. If
necessary, round your answer to the nearest tenth.
Answer:
21.3 m
Step-by-step explanation:
Given the function
f(x)=4x−1
, evaluate and simplify the expressions below. See special instructions on how to enter your answers.
f(a)=
f(a+h)=
f(a+h)−f(a)h=
Instructions: Simplify answers as much as possible. Expressions such as 4(x+2)and (x+5)2 should be expanded. Also collect like terms, so 3x+x should be written as 4x.
Answer:
[tex]f(a) = 4a - 1[/tex]
[tex]f(a+h) = 4a+4h - 1[/tex]
[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x - 1[/tex]
Solving (a): f(a)
Substitute a for x
[tex]f(a) = 4a - 1[/tex]
Solving (b): f(a + h)
Substitute a + h for x
[tex]f(a+h) = 4(a+h) - 1[/tex]
[tex]f(a+h) = 4a+4h - 1[/tex]
Solving (c):f(a + h) - f(a)h
[tex]f(a + h) - f(a)h= f(a + h) - f(a) * h[/tex]
Substitute values for f(a + h) and f(a)
[tex]f(a + h) - f(a)h= 4a + 4h - 1 - (4a- 1) * h[/tex]
Open bracket
[tex]f(a + h) - f(a)h= 4a + 4h - 1 - 4ah+ h[/tex]
Collect like terms
[tex]f(a + h) - f(a)h= 4a + 4h + h - 4ah- 1[/tex]
[tex]f(a + h) - f(a)h= 4a + 5h - 4ah- 1[/tex]
I really need help pls ty
Answer:
m<3 = 58
Step-by-step explanation:
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add. simplify the answer and write it as a mixed number 2/15+3/10+4/5
Answer:
1 7/30
Step-by-step explanation:
First find common denominator then solve
[tex]\frac{2}{15} + \frac{3}{10} + \frac{4}{5}\\\\\frac{4+9+24}{30} = \frac{37}{30} = 1\frac{7}{30}[/tex]
which monomial represents the number of square units in the area of a circle with radius 4x^3 units
Answer:
For a circle of radius R, the area is written as:
A = pi*R^2
Where pi = 3.14
Then if the radius of the circle is R = 4*x^3
The area of this circle will be:
A = 3.14*(4*x^3)^2 = 3.14*(4)^2*(x^3)^2
Here you need to remember that:
(a^n)^m = a^(n*m)
Then the area of the circle is:
A = 3.14*(16)*(x^(3*2) = 3.14*16*x^6 = 50.24*x^6
So the monomial that represents the number of square units in the area of the circle is:
A(x) = 50.24*x^6
What is the distance between the points (-9 , 23) and (2 , 23) in the coordinate plane
Answer:
d=11
Step-by-step explanation:
d = √[(2 - (-9))^2 + (23 - 23)^2]
= √[(2 + 9)^2 + (0)^2]
= √[11^2 + 0^2]
= √(121 + 0)
= √121
= 11
Therefore, the distance between the points (-9, 23) and (2, 23) is 11 units.
Which of the following expressions could NOT be used to find the volume of the sheet cake? Select all that apply.
Incorrect
60 × 3
Correct
12 + 5 + 3
Incorrect
3 × 5 × 12
Correct
12 × 5
Correct
(12 × 5) + 3
Help please I give brainliest
Answer:
(8,5)
Step-by-step explanation:
Your X coordinate would determine how far right or left something would be on a plot. The more left, the lower the number, and the more right, the higher the number. Y coordinate controls the height. Therefore, the coordinates with the highest X value would be the answer.
BRAINLIEST STARS
Find the area of the circle if r = 5 meters. Leave the answer in terms of pi.
A) A=100pi square meters
B) A=25pi square meters
C) A= 5pi square meters
D) A=10pi square meters
Answer:
B: A=25pi square meters
Step-by-step explanation:
Answer: 25pi square meters
y = 4x + 2
6x + 2y = 8
What is the value of x + y?
Answer:
24/7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsFactoringFunctionsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 4x + 2
6x + 2y = 8
Step 2: Solve for x
Substitution
Substitute in y: 6x + 2(4x + 2) = 8Factor GCF: 2[3x + (4x + 2)] = 8[Division Property of Equality] Divide 2 on both sides: 3x + 4x + 2 = 4Combine like terms [Addition]: 7x + 2 = 4[Subtraction Property of Equality] Subtract 2 on both sides: 7x = 2[Division Property of Equality] Divide 7 on both sides: x = 2/7Step 3: Solve for y
Substitute in x [Original equation]: y = 4(2/7) + 2Multiply: y = 8/7 + 2Add: y = 22/7Step 4: Evaluate
Substitute in variables: 2/7 + 22/7Add: 24/7What is the formula for area of Parallelogram
Answer:
See below
Step-by-step explanation:
Area of parallelogram = base * height
Answer:
A= b×h
Step-by-step explanation:
b= base
h= height
hope it helped
The perimeter of a rectangle is 18 cm. If its length is 5 cm, find its breadth.
Answer:
Hope that answers your question, you're welcome
[tex] \longmapsto \: perimeter \: of \: rectangle = 2(l + b) \\ \\ \longmapsto2(5 + b) = 18 \\ \\ \longmapsto \: 5+ b = 9\\ \\ \longmapsto \: b = 4cm[/tex]
What does it mean to be “in the red?”
a.
You have more credits than debits.
b.
You have more debits than credits.
c.
You cannot find your financial records.
d.
Your financial records are inaccurate.
Answer:
b.
You have more debits than credits.
Step-by-step explanation
Being in the red means that you are in debt so im 90% sure its B
If you get this wrong then i am very sorry.This is my input :)
Answer:
B
Step-by-step explanation:
In accounting, if the debit balance is more than the credit balance on income statement, there is a loss.
If the credit balance is more than the debit balance on income statement, there is a profit.
Option C and D are both not correct because this does not relate to whether a Financial record is accurate or not.
4. tan Θ if sin = 1/2 90° ≤ Θ ≤ 180°
a. -√(3)/2
b. -√(3)/3
c. √(3)/2
d. √(3)/3
5. Find the value of
tan Θ if cot Θ = 2 0 ≤ Θ < 90° (write your answer as a fraction)
tan =
9514 1404 393
Answer:
4. b =-√(3)/3
5. 1/2
Step-by-step explanation:
4. The tangent is negative in the second quadrant. The sine value tells you the reference angle is 30°, so the actual angle is 150°. The corresponding tangent is ...
tan(150°) = -(√3)/3
__
5. The cotangent is the inverse of the tangent, and vice versa.
tan = 1/cot
tan(θ) = 1/2
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the new drawing?
Answer:
40 feet by 4 feet
Step-by-step explanation:
Given length (l) = 100 feet
width (w) = 10 feet
As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.
So,
New length = 100 * 2/5 = 40 feet
New width = 10 * 2/5 = 4 feet
Therefore, the scale of new drawing would be 40 feet by 4 feet.
WILL GIVE BRAINLIEST URGENT
Answer:
CHICKEN CHEESE BUTT
Step-by-step explanation:
5+5 = 69 :)
What does b represent in the expressions.
PLEASE HELP what is the solution to |2x-8|<2
Answer:
A
Step-by-step explanation:
You have two inequalities:
2x-8<2 = 2x<10 = x<5
-2x+8<2= -2x<-6 = x>3
Combine the two to get 3<x<5
Hope this helps!
Answer and Step-by-step explanation:
The answer would be A, in which x can be any value between 3 and 5, exclusive, or not including.
This is because in this situation, if you put any number greater than or equal to 5, or any number less than or equal to 3 it would be greater than 2 due to the absolute thing (noted as | | )
So, any number thats between 3 and 5 will work, as it will be less than 2.
#teamtrees #POG (Plant Our Garden)
What is 7 / 2 0 to 5
PLS HELPP What is the volume of the larger rectangular prism in the figure?
A)
26 cm3
B)
28 cm3
C)
80 cm3
D)
108 cm3
Answer:
80.
Step-by-step explanation:
I've seen this question before and got it right. It's really simple. One of the other questions is what is the total volume and its 108. The smaller one is 28. You just add them up and get 108.
help please!
will give brainliest
Answer:
The answers will placed according to the order that they were given
6.93
15.75
17.64
6.93
Step-by-step explanation:
1 1/4 x 2 1/4 = ? i need help plzzz
Answer:
2,13/16
Step-by-step explanation: you can put it in the calculator and the answer given would be 2 13/16 hope it helps!
Answer:
2 13/16 or 45/16
builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. What is the average size of the lots?
Answer:
I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more
13 in
10 in.
7 in
3. What is the perimeter of the
(19)
trapezoid?
Write down the value of the 5 in each of these
numbers.
8.154
751 602
1 567 324 896
Answer:
8.154 - 0.05
751 602 - 50 000
1 567 324 896 - 500 000 000
Use the distributive property to write an equivalent expression. 4(x+2)
Answer:
4x+8
Step-by-step explanation:
4*x = 4x
4*2 = 8
4x+8
The equivalent expression using the distributive property is 4x + 8.
How to determine the distributive property to write an equivalent expression.To use the distributive property to write an equivalent expression for 4(x + 2), we need to multiply each term inside the parentheses by the factor outside.
Using the distributive property, we multiply 4 by both x and 2:
4(x + 2) = 4 * x + 4 * 2
Simplifying further:
4(x + 2) = 4x + 8
Therefore, the equivalent expression using the distributive property is 4x + 8.
Learn more about equivalent expression at https://brainly.com/question/15775046
#SPJ2
Find the unknown number 10% of what number is 300
Answer:3,000
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
300 x
10 100
300x100
30,000
30,000/10
3000
In ΔDEF, the measure of ∠F=90°, FD = 33 feet, and DE = 92 feet. Find the measure of ∠D to the nearest tenth of a degree.
Answer:
69
Step-by-step explanation:
i don't know