Answer:
p^=368=0.2222.95%CI=(0.2222−1.960.2222(1−0.2222)36,0.2222+1.960.2222(1−0.2222)36)=95%CI=(0.2222−1.96360.2222(1−0.2222),0.2222+1.96360.2222(1−0.2222))==(0.0864,0.3580).
=(0.0864,0.3580).
Step-by-step explanation:
flvs?
The 95% confidence interval for the given proportion is (0.864, 0.3580).
What is a confidence interval?In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of predicted observations are frequently used by analysts.
Given total samples = E = 36
number of outcomes = 8
probability = p = 8/36 = 0.2222
value of z for 95% confidence interval = 1.96
intervals = p ± z([tex]\sqrt{\frac{p(1 - p)}{E} }[/tex])
taking positive sign
= 0.2222 + 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.3580
taking negative sign
= 0.2222 - 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.0864
Hence, the intervals are (0.864, 0.3580), and option A is a suitable answer.
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What are any tricks for remembering the Pythagorean theorem?
Answer:
No. Just no the formula
Hyp2= Adj2 +Opp2
The Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
What is the Pythagoras theorem?Pythagoras came up with a theorem that says, “the square of the hypotenuse of a right-angled triangle is equal to the sum of the square of the other two sides.” This theorem is known as the Pythagoras theorem.
Pythagorean theorem is a theorem in geometry that relates all the three sides of a right triangle.
It states that, in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
A right triangle is a three-sided closed geometric plane figure in which one of the 3 angles is 900.
In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse.
The horizontal side forming the right angle is called the base of the right triangle and the vertical side is the hypotenuse.
For example, if ΔABC is a right triangle with sides AB, BC, and AC such that the triangle is right-angled at B, then the Pythagoras equation is written as:
[tex]\rm Hypotenuse ^2= Base^2+ Perpendicular^2\\\\AB^2+BC^2=AC^2[/tex]
Hence, the Pythagorean theorem states that the square on the hypotenuse is equal to the sum of the squares on the other two sides in a right triangle.
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Help Anyone please? >>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Which system represents the statements below?
The sum of two numbers is 10. One number is five times the other.
Answer:
the answer is c
Step-by-step explanation:
y = 5x
as it says x + y = 10
so one number which is represented as x is times 5 as the other which brimg to our answer y =5x
If remove the zero from 0.76 would it change the value of the number
If remove the zero from 10.25 would it change the value of the number
PLS HELP THIS WAS ON SHORT NOTICE AND I NEED IT DONE IN 30 MINUTES
!!!
Question 1:
Answer: The number does not changeRemoving the zero from 0.76 leads to .76 which is the same as before. Both lead to [tex]7.6 \times 10^{-1}[/tex] in scientific notation.
Personally I prefer the zero up front to make the decimal point stand out easier. Of course it's just a preference, so its up to you to decide which you prefer.
===========================================
Question 2:
Answer: Yes the number changesTaking the zero out of 10.25 leads to 1.25 which is definitely a different number (and smaller). Therefore, this zero is a significant digit compared to before.
sin^-1(√3-1/2√2)
please give me answer
use a calculator and the correct answer is 0.019134405
and then round off the that answer into 2 significant number
sin^-1(√3-1/2√2)
please give me answer
Anwser for 4.5 times 3.6
Answer:
16.2
Step-by-step explanation:
calculator :0
Sumalee spent $183 on books. Math books cost $21 and english books cost $26. If she bought a total of 8, then how many of each kind did she buy?
Which transformations are needed to change the parent cosine function to y = 0. 35 cosine (8 (x minus StartFraction pi Over 4 EndFraction))? vertical stretch of 0. 35, horizontal stretch to a period of 16 pi, phase shift of StartFraction pi Over 4 EndFraction units to the right vertical compression of 0. 35, horizontal compression to a period of 4 pi, phase shift of StartFraction pi Over 4 EndFraction units to the left vertical compression of 0. 35, horizontal compression to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right vertical stretch of 0. 35, horizontal stretch to a period of StartFraction pi Over 4 EndFraction, phase shift of StartFraction pi Over 4 EndFraction units to the right.
The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression of period of [tex]\pi/4[/tex]phase shift of [tex]\pi/4[/tex] to rightHow does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift): Left shift by c units: [tex]y = f(x+c)[/tex]earlier)Right shift by c units: [tex]y = f(x-c)[/tex]output, but c units late)Vertical shift:Up by d units: [tex]y = f(x) + d[/tex]Down by d units: [tex]y = f(x) - d[/tex]Stretching:Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]For this case, we're specified that:
y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]
We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8
Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]
Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression to period of [tex]\pi/4[/tex] (which means period of cosine is shrunk to [tex]\pi/4[/tex] which originally was [tex]2\pi[/tex] )phase shift of [tex]\pi/4[/tex] to rightLearn more about transformation of functions here:
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What is the value of y?
y
60°
80°
Step-by-step explanation:
60° + 80° + y = 180° ( being straight angle )
140° + y = 180°
y = 180° - 140°
y = 40°
Can i get some help With This Please
Step-by-step explanation:
See the solution for each part
1)
f(-2) = - 3(-2) - 6 = 6 - 6 = 02)
g(3) = 3² + 4 = 9 + 4 = 133)
f(g(x)) = -3(x² + 4) - 6 = - 3x² - 12 - 6 = - 3x² - 184)
f(g(3)) = f(13) = - 3(13) - 6 = - 39 - 6 = - 455)
x = - 3f⁻¹(x) - 63f⁻¹(x) = - x - 63f⁻¹(x) = -(x + 6)f⁻¹(x) = - (x + 6)/3Now
f(-2)=-3(-2)-6=6-6=0g(3)=3²+4=9+4=13f(g(x))=-3(x²+4)-6=-3x²-12-6=-3x²-18f(g(3))=-3(3)^2-18=-27-18=-45Suppose that two lines, AB and CD, are intersected by a transversal.
Which of the following reasons alone could be used to show that the lines are parallel?
Corresponding angles converse
Consecutive interior angles theorem
Vertical angles theorem
Transitive property of congruence
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
What is an angle?
An angle is formed from the intersection of two or more lines. Types of angles are acute, obtuse, right angle.
The consecutive interior angle theorem states that if a pair of parallel line is intersected by a transversal, the pair of consecutive interior angles formed is supplementary
The Consecutive interior angles theorem can be used to show that the lines AB and CD are parallel
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Can someone help me if you can??? please and thank you! :)))))))
Answer:
Here is the answer
Step-by-step explanation:
Interest=$580 x 6.5%
=580 x 6.5/100
=$37.70
$37.70= 37dollars and 70 cents
Calculate the capacitance between two parallel plates of area s and separation of d
The capacitance between two parallel plates of area s and separation of d is;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
What is capacitance?Capacitance is the limitation of the body to store the electric charge. Every capacitor has its capacitance.
The typical parallel-plate capacitor consists of two metallic plates of area s, separated by the distance d.
The capacitance between two parallel plates of area s and separation of d is given by the following formula;
[tex]\rm Capacitance = \varepsilon _0\dfrac{s}{d}[/tex]
The capacitance of a parallel plate capacitor depends on the area of the plates s and their separation d.
According to Gauss's law, the electric field between the two plates is: Since the capacitance is defined by one can see that capacitance is: Thus you get the most capacitance when the plates are large and close together.
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PLEASE HELP!! 50 POINTS!!
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answer:
x = 35.20735
Step-by-step explanation:
Use tanФ = opposite/adjacent
tan58 = x/22
x = 35.20735
pls pls pls pls pls pls pls
The inverse, converse and contrapositive of a statement are used to determine the true values of the statement
How to determine the inverse, converse and contrapositiveAs a general rule, we have:
If a conditional statement is: If p , then q .
Then:
Inverse -> If not p , then not q .Converse -> If q , then p .Contrapositive -> If not q , then not p .Using the above rule, we have:
Statement 1
Inverse: If a parallelogram does not have a right angle, then it is not a rectangle. Converse: If a parallelogram is a rectangle, then it has a right angle.Contrapositive: If a parallelogram is a not rectangle, then it does not have a right angle.All three statements above are true
Statement 2
Inverse: If two angles of one triangle are not congruent to two angles of another, then the third angles are not congruent. Converse: If the third angles of two triangle are congruent, then the two angles are congruent to two angles of anotherContrapositive: If the third angles of two triangle are not congruent, then the two angles are not congruent to two angles of anotherAll three statements above are also true
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How has the polygon RQTS been translated to produce a polygon with Q’ at (-3, -3)?
shift down 5 units
shift down 6 units
shift down 2 units
shift down 3 units
Answer: Shift down 3 units
Step-by-step explanation:
From the figure its clear that the existing coordinate of the polygon RQTS are : (−3,0)
Since we have to translate the polygon to (−3,−3)
So:
−3−(−3)=0
−3−(0)=−3
Therefore shift down 3 units is the correct answer
Answer:
shift down 5 units
Step-by-step explanation:
i took the quiz
Solve the simultaneous equations 4 x + 3 y = 25 x + 5 y = 19
Answer:
x= 4
y=3
Step-by-step explanation:
its simple
4x+3y=25
x+5y=19
by elimination
-17y=-51
so y = 3
substitute y for 3
then x is 4.
I hope this will help you.
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Suppose h(t) = -0.2t2 + 2t models the height, in feet, of a ball that is kicked into the air where t is
given as time, in seconds.
After how many seconds does the ball reach its maximum?
Step-by-step explanation:
the point of extreme value we get a the zero dilution of the first derivative of the function.
h(t) = -0.2t² + 2t
h'(t) = -0.4t + 2
so,
-0.4t + 2 = 0
2 = 0.4t
t = 2/0.4 = 5 seconds
so, after 5 seconds the ball reaches its maximum height.
FYI : that height is then h(5).
-0.2×5² + 2×5 = -5 + 10 = 5 ft
so, all in all, a very weak kick in very low gravity ...
Identify the value of y
(5y-6) = (2y×9)-32
Hey there!
Let's solve your equation step-by-step.
[tex]\fbox{5y−6=2y(9)−32}[/tex]
Step 1: Simplify both sides of the equation.
[tex]\fbox{5y−6=2y(9)−32}[/tex]
[tex]\fbox{5y+−6=18y+−32}[/tex]
[tex]\fbox{5y−6=18y−32}[/tex]
Step 2: Subtract 18y from both sides.
[tex]\fbox{5y−6−18y=18y−32−18y}[/tex]
[tex]\fbox{−13y−6=−32}[/tex]
Step 3: Add 6 to both sides.
[tex]\fbox{−13y−6+6=−32+6}[/tex]
[tex]\fbox{−13y=−26}[/tex]
Step 4: Divide both sides by -13.
[tex]\fbox{−13y/−13 = −26/−13}[/tex]
[tex]\fbox{y=2}[/tex]
Answer:
[tex]\fbox{y=\fbox{2}}[/tex]
Find the length of the missing side of the right triangle. (Don't put units in your answer.)
The missing side is the opposite or the adjacent of the right triangle
The length of the missing side is 9.9
How to determine the length of the missing side?To calculate the length of the missing side, we make use of the following Pythagoras theorem.
16.5^2 = 13.2^2 +a^2
Evaluate the exponents
272.25 = 174.24 +a^2
Collect like terms
a^2 = 272.25 - 174.24
Evaluate the like terms
a^2 = 98.01
Take the square roots of both sides
a = 9.9
Hence, the length of the missing side is 9.9
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A translation of (x -3, y + 4) means
Answer:
you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.
And if you subtract a constant from your y in the original function you move its graph down by that number of units.
Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.
And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden
Jan 15, 2018
translation of 4 units right
translation of 3 units down
y=4x−4−3
Explanation:
translation of 4 units right
translation of 3 units down
y=f(x)→y=f(x−4)−3
y=4x−4−3
Step-by-step explanation:
you subtract a constant from your x in the original function you shift the graph in the positive direction by that number of units.
And if you subtract a constant from your y in the original function you move its graph down by that number of units.
Your original function was y=4x. When you solve for the root of the denominator, you find the vertical asymptote. In this case, it is x=0, i.e. the y-axis.
And when x goes to ∞, y=4∞=0 which means your horizontal asymptote is y=0, i.e. the x-axis. Here is the graph:

Now, you can see the transformation of y=4x below. As is evident, it has shifted 4 units to the right and 3 units down with vertical asymptote at x=4 and horizontal asymptote at y=−3.

Answer link

Harold Walden
Jan 15, 2018
translation of 4 units right
translation of 3 units down
y=4x−4−3
Explanation:
translation of 4 units right
translation of 3 units down
y=f(x)→y=f(x−4)−3
y=4x−4−3
translation of 4 units right
translation of 3 units down
y=4x−4−3
Explanation:
translation of 4 units right
translation of 3 units down
y=f(x)→y=f(x−4)−3
y=4x−4−3
I hope it helps :)
Answer link
A translation of (x - 3, y + 4) means that each point in the original graph is moved horizontally by 3 units to the right and vertically by 4 units upward to create a new graph.
How to interpreted the translationFor any point (x, y) on the original graph, the corresponding point (x', y') on the translated graph is obtained by adding:
3 to the x-coordinate and 4 to the y-coordinate:x' = x - 3
y' = y + 4
This type of translation is also known as a "horizontal translation to the right by 3 units" and a "vertical translation upward by 4 units." The "x - 3" part represents the horizontal movement, and the "y + 4" part represents the vertical movement.
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If ∠A > ∠B, then what is the relation between AC and BC?
Answer:
ab and ac are congruent with each other
Answer:
BC > AC
Step-by-step explanation:
∠A > ∠B (Given)
Side opposite to larger angle is larger and side opposite to smaller angle is smaller.
->AC < BC
or
BC > AC
F(x)=x^2
G(x)=x^2-8x+16
In which direction and by how many units should f(x) be shifted to match g(x)?
Answer:
4 units right
Step-by-step explanation:
The question of shifts or other transformations can be more easily answered when the transformed function is written in vertex form.
g(x) = (x -4)²
Compared to f(x) = x², this is g(x) = f(x-4). That change corresponds to a right-shift of 4 units.
f(x) should be shifted right 4 to match g(x)
_____
Additional comment
The square of a binomial is (a -b)² = a² -2ab +b². The form of G(x) can be seen to match this form, so we know G(x) can be written as the square shown above.
how many milillerters of cholcolat milk are in the container shown
Find the volume of the prism in terms of y.
is there a value to y? if not, this is what I got:
Y^2 + 2y + 3
What is the area of the following circle?
Answer:
49pi
Step-by-step explanation:
Area of a circle is diameter * 1/2 squared times pi. Then, ((14 * 1/2)^2)pi equals 49pi.
P.S: don't cheat in khan my man, that's dishonored
how many blue cars are there
Answer:
81 blue
54 red
Step-by-step explanation:
let me know if this is helpful!
HELP PLS IS OVER DUE AND I WANT TO GET THIS DONE RIGHT NOW!
Answer:
168 hours
Step-by-step explanation:
24 × 7 = 168 hours
So 168 hours in 7 days
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
helllp pleeaasee can you?
Divide money earned by hours worked to get the hourly rate of $11.00 per gour.
Answer: C. $11.00 per hour
Solve this problem please and thank you.
Answer:
B
Step-by-step explanation:
The given expressions can be compared by putting each in standard form.
A. -8 -7n +16n = (-7+16)n -8 = 9n -8
B. 9(n -8) = 9n -72 . . . . different from the others
C. n -8 +8n = (1 +8)n -8 = 9n -8
D. 9n -8
_____
The standard form of a polynomial expression has the variable terms in decreasing order by degree
a machine prints 1500 newspapers in 45 minutes how many does it print in 12 hours
Answer:
ans is 24000
Step-by-step explanation:
frist convert 12 into mins
/ it with 45
now multiple it with 1500
now ans 24000
(Assuming it works at a constant rate)
45 minutes = 3/4 of an hour
If it works for 12 hours, it works for 12 : 3/4 = 16 times more than 45 minutes.
Since it works at a constant rate, it must also print 16 times more paper than in 45 minutes.
So, in 12 hours, the machine print 1500 x 16 = 24000 (papers)