Convert 208 in base 10 to binary number

The perimeter of a rectangular pentagon is 100 inches. Find the length of each side

Nikolay [14]

solution:

$the perimeter of a regular pentagon is 100inches\\l+l+l+l+l=100\\now the combine terms\\5l=100\\l=\frac{100}{5}\\ =20 inches\\now,we solve for the length of each side by dividing both sides by 5.$

3 0

3 years ago

A local hamburger shop sold a combined total of 628 hamburgers and cheeseburgers on Thursday. There were 72 fewer cheeseburgers

lys-0071 [83]

Answer:

278 cheeseburgers and 350 hamburgers sold on Thursday

Step-by-step explanation:

To confirm that these combined equal 628 we can add them together using the equation 278 + 350. Once confirm that these both equal 628 when combined, we can find the difference between the 350 hamburgers and 278 cheeseburgers by subtracting one from the other using the equation, 350 - 278. When you do that, you will get a difference of 72 which means that there were 72 fewer cheeseburgers sold than hamburgers.

(sorry if this is confusing, I'm not good at explaining things)

8 0

3 years ago

Ahmad runs 5 miles in 38 minutes. at the same rate, how many miles would he run in 57 minutes?

siniylev [52]

Ahmad could run 7.5 miles in 57 minutes.

6 0

3 years ago

Note: Please make sure to properly format your answers. All dollar figures in the answers need to include the dollar sign and an

Daniel [21]

Using the normal distribution, the percentages are given as follows:

a) 9.18%.

b) 97.72%.

c) 50%.

d) 4.27%.

e) 0.13%.

f) 59.29%.

g) 2.46%.

h) 50%.

i) 50%.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

For this problem, the mean and the standard deviation are given as follows:

$\mu = 247, \sigma = 60$

For item a, the proportion is the p-value of Z when Z = 167, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (167 - 247)/60

Z = -1.33.

Z = -1.33 has a p-value of 0.0918.

Hence the percentage is of 9.18%.

For item b, the proportion is the p-value of Z when Z = 367, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (367 - 247)/60

Z = 2.

Z = 2 has a p-value of 0.9772.

Hence the percentage is of 97.72%.

For item c, the proportion is one subtracted by the p-value of Z when X = 247, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (247 - 247)/60

Z = 0

Z = 0 has a p-value of 0.5.

Hence the percentage is of 50%.

For item d, the proportion is one subtracted by the p-value of Z when X = 350, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (350 - 247)/60

Z = 1.72

Z = 1.72 has a p-value of 0.9573.

1 - 0.9573 = 0.0427.

Hence the percentage is of 4.27%.

For item e, the proportion is the p-value of Z when Z = 67, hence:

$Z = \frac{X - \mu}{\sigma}$

Z = (67 - 247)/60

Z = -3.

Z = -3 has a p-value of 0.0013.

Hence the percentage is of 0.13%.

For item f, the proportion is the p-value of Z when X = 300 subtracted by the p-value of Z when X = 200, hence:

X = 300:

$Z = \frac{X - \mu}{\sigma}$

Z = (300 - 247)/60

Z = 0.88.

Z = 0.88 has a p-value of 0.8106.

X = 200:

$Z = \frac{X - \mu}{\sigma}$

Z = (200 - 247)/60

Z = -0.78.

Z = -0.78 has a p-value of 0.2177.

0.8106 - 0.2177 = 0.5929.

Hence the percentage is 59.29%.

For item g, the proportion is the p-value of Z when X = 400 subtracted by the p-value of Z when X = 360, hence:

X = 400:

$Z = \frac{X - \mu}{\sigma}$

Z = (400 - 247)/60

Z = 2.55.

Z = 2.55 has a p-value of 0.9946.

X = 360:

$Z = \frac{X - \mu}{\sigma}$

Z = (360 - 247)/60

Z = 1.88.

Z = 1.88 has a p-value of 0.97.

0.9946 - 0.97 = 0.0246

Hence the percentage is 2.46%.

For items h and i, the distribution is symmetric, hence median = mean and the percentages are of 50%.

More can be learned about the normal distribution at brainly.com/question/24808124

#SPJ1

4 0

2 years ago

1 HOUR TIME LIMIT

irina1246 [14]

Answer:

Your answer is 1500 foot pounds.

I hope this helps!

Step-by-step explanation:

Edg 2020

3 0

3 years ago

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Convert 208 in base 10 to binary number​

Convert 208 in base 10 to binary number