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3 years ago

Select the values that make the statement true.

Mathematics

1 answer:

kolbaska11 [484]3 years ago

3 0

Answer:

no image no answer, so the answer is

Step-by-step explanation:

select the values that make the statement true.

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken if the desir

Ksju [112]

Answer:

We need a sample size of at least 75.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, we find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

The standard deviation is the square root of the variance. So:

$\sigma = \sqrt{484} = 22$

With a .95 probability, the sample size that needs to be taken if the desired margin of error is 5 or less is

We need a sample size of at least n, in which n is found when M = 5. So

$M = z*\frac{\sigma}{\sqrt{n}}$

$5 = 1.96*\frac{22}{\sqrt{n}}$

$5\sqrt{n} = 43.12$

$\sqrt{n} = \frac{43.12}{5}$

$\sqrt{n} = 8.624$

$(\sqrt{n})^{2} = (8.624)^{2}$

$n = 74.4$

We need a sample size of at least 75.

6 0

3 years ago

Read 2 more answers

A square of the side lenght of 6cm has the same area as this rectangle . find the perimeter of the rectangle.

Aleksandr-060686 [28]

Answer:

The perimeter of the rectangle is 26 cm

Step-by-step explanation:

First find the area of the square by multiplying 6 by itself

A = 6 cm * 6 cm = 36 sq cm

Since the rectangle has the same area as the square, we can say that w * 9 = 36 sq cm

w * 9 = 36

Divide both sides by 9 to isolate the variable, w

w * 9 / 9 = 36 / 9

w = 4 cm

The width of the rectangle is 4 cm so now we just use that to find the perimeter of the rectangle

P = 2(9) + 2(4) = 26 cm

3 0

2 years ago

The area of rectangular kitchen tile is 6x^2-8x-30. The width is 2x-6.

mrs_skeptik [129]

Answer:

L=6x^2-4x+5

P=12x^2-4x-2

Step-by-step explanation:

A=WL

So, we know the area is 6x^2-8x-30 and the width is 2x-6

Substitute

(6x^2-8x-30)=(2x-6)(L)

L=(6x^2-8x-30)/(2x-6

Divide

L=6x^2-4x+5

P=2L+2W

Substitute

P=2(6x^2-4x+5)+2(2x-6)

P=12×^2-8x+10+4x-12

Simplify

P=12x^2-4x-2

7 0

3 years ago

Let

Maksim231197 [3]

Answer:

3.3

Step-by-step explanation:

We determine the plane formed by $u_1$ and $u_2$ . The normal to the plane is given by their cross product:

$u_1\times u_2$

$\begin{pmatrix} - 2\\ - 4\\ 1 \end{pmatrix}\times\begin{pmatrix} - 4\\ 1 \\ - 4\end{pmatrix}=\begin{pmatrix} 15 \\ - 12\\ - 18\end{pmatrix}$

The equation of the plane is then given by

$15x-12y-18z=0$

The distance between a vector $\begin{pmatrix} x_1 \\ y_1 \\ z_1 \end{pmatrix}$ and a plane $Ax+By+Cz +D =0$ is given by

$d=\dfrac{|Ax_1+By_1+Cz_1 +D|}{\sqrt{A^2+B^2+C^2}}$

Comparing,

$A = 15,\ B = - 12,\ C = -18,\ D = 0,\ x_1=3,\ y_1 =-8, \ z_1 =3$

Substituting,

$d=\dfrac{|(15\times3)+(-12\times-8)+(-18\times3)+0|}{\sqrt{15^2+(-12)^2+(-18)^2}}$

$d=\dfrac{|45+96-54|}{\sqrt{225+144+324}}=\dfrac{87}{\sqrt{693}}$

$d =\dfrac{87}{26.32\ldots}\approx 3.3$

4 0

3 years ago

Karl hikes 3 miles in 45 minutes. Given that his distance is directly proportional to the time he walks,find the constant propor

Yuki888 [10]

the answer is 45 hope it helps

mark me the brainlyest

6 0

3 years ago

Select the values that make the statement true.​

Select the values that make the statement true.