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3 years ago

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SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SA

T score of first year students at your college. If you would like to limit the margin of error of your 98% confidence interval to 40 points, at least how many students should you sample?

1 answer:

kotegsom [21]3 years ago

3 0

Answer:

I should use at least 304 students

Step-by-step explanation:

Margin error (E) = t × sd/√n

E = 40

sd = 300

confidence level (C) = 98% = 0.98

significance level = 1 - C = 1 - 0.98 = 0.02 = 2%

t-value corresponding to 2% significance level and infinity degree of freedom is 2.326

n = (t×sd/E)^2 = (2.326×300/40)^2 = 17.445^2 = 304 (to the nearest integer)

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For each value of y, determine whether it is a solution to 12 = 2y +8.<br> Is it a solution

grin007 [14]

Answer: 2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

Step-by-step explanation:

Looks like you need to plug in each y value given and multiplied by 2 and add 8

2(0) + 8 does not equal 12, not a solution.

2(2) +8 = 12 yes it is a solution

2(-3) + 8 does not equal 12, not a solution

2(5) + 8 does not equal 12, not a solution.

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Which of the diagrams below represents the statement "If it is not a gorilla, then it is not an ape"?

DaniilM [7]

Comment is correct, I mis read. it is figure B since not gorilla is inside not ape

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3 years ago

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A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. Wh

NeTakaya

Answer:

15 cm.

Step-by-step explanation:

It is given that,

Central angle $=\dfrac{7\pi}{10}$

Arc length = 33 cm

Formula for arc length :

$s=r\theta$

where, s is arc length, r is radius and $\theta$ is central angle in radian.

Substitute s=33 and $\theta=\dfrac{7\pi}{10}$ in the above formula.

$33=r\left(\dfrac{7\pi}{10}\right)$

Multiply both sides by 10.

$330=7\pi r$

Divide both sides by $7\pi$ .

$\dfrac{330}{7\pi}= r$

Put $\pi=3.14$

$\dfrac{330}{7(3.14)}= r$

$15.0136= r$

$r\approx 15$

Therefore, the radius of the circle is 15 cm.

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4 years ago

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Firdavs [7]

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3 years ago

The graph of an exponential function has a y-intercept of 8 and contains the point (3,64). Find the exponential function that de

Brums [2.3K]

Given:

Y-intercept of exponential function is 8.

It contains the point (3,64).

To find:

The exponential function that describes the graph.

Solution:

The general form of an exponential function is

$y=ab^x$ ...(i)

where, a is initial value or y-intercept and b is growth factor.

Since, y-intercept is 8, therefore, a=8.

Put a=8 in (i).

$y=8b^x$ ...(ii)

It contains the point (3,64). Put x=3 and y=64.

$64=8b^3$

Divide both sides by 8.

$\dfrac{64}{8}=b^3$

$8=b^3$

$2^3=b^3$

On comparing both sides, we get

$b=2$

Put b=2 in (ii).

$y=8(2)^x$

The functions form of this equation is

$f(x)=8(2)^x$

Therefore, the required function is $f(x)=8(2)^x$ .

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