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2 years ago

a person runs at a constant speed of 9.2 miles per hour for 6 minutes and 30 seconds. How far did they travel in yards.

Mathematics

2 answers:

ipn [44]2 years ago

7 0

Given:

Speed $= \bold{9.2 \ \frac{miles}{hour}}$

$\therefore \\\\$

1-hour= 60 minutes

1-minutes=60 second

1-hour= 3600 second

Converting the given time into seconds:

Time= 6 minutes and 30 second

$=\bold{6\times 60 \ second + 30 \ second }\\\\=\bold{360\ second+30\ second}\\\\=\bold{390\ second}\\\\$

When 3600 seconds covers=9.2 miles

Then equation:

$=\bold{\frac{9.2}{3600}}\\\\$

390 seconds covers:

$=\bold{\frac{9.2}{3600}\times 390 \ miles} \\\\$

Let

$\bold{1 \ miles= 1760\ yard}\\\\$

Convert the traveling value into yards:

$=\bold{ \frac{9.2}{3600}\times 390\times 1760}\\\\=\bold{ \frac{9.2}{36}\times 39\times 176}\\\\=\bold{ \frac{9.2}{12}\times 13\times 176}\\\\=\bold{ \frac{9.2}{12}\times 2288}\\\\=\bold{ 9.2\times 190.66}\\\\=\bold{ 1754.072\ yards}\\\\$

Therefore, total traveling yards are"1754.072".

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irakobra [83]2 years ago

4 0

Speed of the person has been given as 9.2 miles per hour.

Therefore, speed of the person in miles per minute = $\frac{9.2}{60}$

Duration for which the person is running = 6 minutes and 30 seconds

= 6 minutes and $\frac{30}{60}$ minutes

= 6.5 minutes

Since, Distance = Speed × Time

By substituting the values in the expression we can get the distance traveled.

Distance = $\frac{9.2}{60}\times 6.5$

= 0.9967 miles

Since, 1 mile = 1760 yards

Therefore, 0.99667 miles = 1760 × 0.99667

= 1754.13 yards

Total distance traveled by the person is 1754.13 yards.

Learn more,

brainly.com/question/13458499

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The cost to produce a batch of granola bars is approximately Normally distributed with a mean of $7.19 and a standard deviation

Bumek [7]

Answer:

0.7780

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that $\mu = 7.19, \sigma = 0.86$

Sample of 12:

$n = 12, s = \frac{0.86}{\sqrt{12}} = 0.2483$

What is the probability that the mean cost will be more than $7.00?

This is 1 subtracted by the pvalue of Z when X = 7. So

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

By the Central Limit Theorem

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

$Z = \frac{7 - 7.19}{0.2483}$

$Z = -0.765$

$Z = -0.765$ has a pvalue of 0.222

1 - 0.222 = 0.778

So the answer is 0.7780

6 0

2 years ago

in how many ways can a supermarket chain select 3 out of 12 possible sites for construction of a new supermarket?

denis-greek [22]

Answer:

its 220

Step-by-step explanation:

7 0

2 years ago

Maggie's brother is 3 years younger than twice her age. the sum of their ages is 24. how old is maggie?

Pepsi [2]

Let x=Maggie's age.

2x-3= brother's age

x+2x-3=24

3x-3=24

3x-3+3=24+3

3x=27

3x/3=27/3

x=9

hope it helps

6 0

3 years ago

1. The mean annual US household income is $72,641. Suppose that the standard deviation is $30,000. a. Find the probability that

valina [46]

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

$z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score,\mu=mean\ and\ \sigma=standard\ deviation \\\\For\ a\ sample\ size\ n: \\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }$

Given that μ = $72,641 and σ = $30,000.

a) x > $100000

$z=\frac{100000-72641}{30000}=0.91$

P(x > 100000) = P(z > 0.91) = 1 - 0.8186 = 0.1814

b) n = 5

x > $100000

$z=\frac{100000-72641}{30000/\sqrt{5} }=2.04$

P(x > 100000) = P(z > 2.04) = 1 - 0.9793 = 0.0207

c) n = 10

x > $100000

$z=\frac{100000-72641}{30000/\sqrt{10} }=2.88$

P(x > 100000) = P(z > 2.88) = 1 - 0.9980 = 0.002

4 0

2 years ago

Write and simplify an expression to represent the perimeter of the triangle shown. Then find the value of x if the perimeter is

Pavlova-9 [17]

Answer:

Step-by-step explanation:

x +4+2x+1+3x-2 = perimeter of triangle.

(6x +3)ft = perimeter

given perimeter = 45feet

hence,

6x + 3 = 45

6x = 42

x = 7

Hope it helped!! plz mark brainliest!! have a good day !! :)

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2 years ago