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Olegator [25]
3 years ago
8

Kerstin has a square tile.the perimeter of the tile is 32 inches.what is the length of each side of the tile

Mathematics
1 answer:
Ad libitum [116K]3 years ago
5 0
The answer is 8 because if you divide 32 and 4 it equals 8.
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Which expression is equivalent to -32 to 3/5 power
levacccp [35]

<u>Answer:</u>

8

<u>Step-by-step explanation:</u>

We are given the following expression and we are to find the simplest form of this expression:

- 3 2 ^ { \frac { 3 } { 5 } }

First of all, we will factor the coefficient:

3 2 = 2 ^ 5

Rewriting it as:

- ( 2 ^ 5 ) ^ { \frac { 3 } { 5 } }

Applying the exponent rule (a^b)^c = a^{bc} to get:

-2^{5.\frac{3}{5}}=-2^3

-2^3=-8

6 0
3 years ago
50 Points help, please!!Angelica and Graciella are working together to find the sine and cosine of Latex: \angle A
pochemuha

Step-by-step explanation:

On a frigid, foggy Christmas Eve in London, a shrewd, mean-spirited cheapskate named Ebenezer Scrooge works meticulously in his counting-house. Outside the office creaks a little sign reading "Scrooge and Marley"--Jacob Marley, Scrooge's business partner, has died seven years previous. Inside the office, Scrooge watches over his clerk, a poor diminutive man named Bob Cratchit. The smoldering ashes in the fireplace provide little heat even for Bob's tiny room. Despite the harsh weather Scrooge refuses to pay for another lump of coal to warm the office.

3 0
3 years ago
Find the volume of the cylinder
gizmo_the_mogwai [7]

Step-by-step explanation:

volume of cylinder formula pi*r²*h

radius of 9cm is 4.5 as 9/2

so 4.5²*15 is 303.75cm

303.75*pi is 303.75picm³

8 0
3 years ago
A circular sector has a central angle of π6 radians and a radius of 9 ft.
ohaa [14]

Answer:

\approx \: 21.2 \:  {ft}^{2}

Step-by-step explanation:

central \:  \angle   =  \frac{\pi ^{c} }{6}  = 30 \degree \\  \\ area \: of \: the \: sector =  \frac{30 \degree}{360 \degree}  \times \pi {(9)}^{2}  \\  \\  =  \frac{1}{12}  \times 3.14 \times  81 \\  \\  =   \frac{1}{12}  \times 254.34 \\  \\  = 21.195 \:  {ft}^{2}  \\  \\  \approx \: 21.2 \:  {ft}^{2}

8 0
3 years ago
Read 2 more answers
Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering
Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

6 0
3 years ago
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