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Katarina [22]
3 years ago
15

Forest Gump ran for 13 hours and went 65 miles. What is the unit rate (how many miles did he run per hour)?? Explain your answer

.
Mathematics
1 answer:
Leni [432]3 years ago
3 0
Okurr I’m just responding so I can answer a question but idk anything so I’m just typing to finish setting up my account..❤️
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Does anyone know this ? i'm stuck.. i'll give you brainliest and 15 points !! show work.
madam [21]

Answer:

x = 7

Step-by-step explanation:

The angle adjacent to the 70 degree angle is also 70 degrees.  We assume that there are four 90-degree angles in the center of the figure.  Thus, 8x - 36 + 70 + 90 = 180 (the sum of the interior angles is 180 degrees).

Solving  8x - 36 + 70 + 90 = 180 for x:

              8x - 36 = 20, or 8x = 56.

Dividing both sides by 8 yields x = 7.

5 0
3 years ago
What are the lower quartile, upper quartile, and median for this box and
nalin [4]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute
NemiM [27]

Answer:

a) 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

b) 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Mildly obese

Normally distributed with mean 373 minutes and standard deviation 67 minutes. So \mu = 373, \sigma = 67

A) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes?

So n = 5, s = \frac{67}{\sqrt{5}} = 29.96

This probability is 1 subtracted by the pvalue of Z when X = 410.

Z = \frac{X - \mu}{s}

Z = \frac{410 - 373}{29.96}

Z = 1.23

Z = 1.23 has a pvalue of 0.8907.

So there is a 1-0.8907 = 0.1093 = 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

Lean

Normally distributed with mean 526 minutes and standard deviation 107 minutes. So \mu = 526, \sigma = 107

B) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes?

So n = 5, s = \frac{107}{\sqrt{5}} = 47.86

This probability is 1 subtracted by the pvalue of Z when X = 410.

Z = \frac{X - \mu}{s}

Z = \frac{410 - 526}{47.86}

Z = -2.42

Z = -2.42 has a pvalue of 0.0078.

So there is a 1-0.0078 = 0.9922 = 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

7 0
3 years ago
a wheelchair ramp has a rise from the ground of 1 foot. the ramp has a length of 14 feet. to the nearest degree, find the angle
sergey [27]
The mnemonic SOH CAH TOA helps you remember the relevant trig relationship is
   Sin(α) = Opposite/Hypotenuse
   sin(α) = (1 ft)/(14 ft)
   α = arcsin(1/14) ≈ 4°

The angle the ramp makes with the sidewalk is 4°.
6 0
3 years ago
Can someone please help me?
Nonamiya [84]

you have to read the bottom link for the answer key

3 0
3 years ago
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