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nordsb [41]
2 years ago
11

Georgina ran 3/8 mile in 3 minutes. How many miles does she run per minute?

Mathematics
2 answers:
Pachacha [2.7K]2 years ago
6 0
In the given question we can see that the information,Georgina ran a distance of 3/8 mile in 3 minutes is already provided.
So
In 3 minutes Georgina can run a distance of = 3/8 miles
Then In 1 minute Georgina can run a distance of = 3/(8 * 3) miles
                                                                               = 3/24 miles
                                                                               = 1/8 miles.
So it can be said now that in 1 minute the distance that Georgina can cover is 1/8 miles. If required it can be converted to decimal value as well.

Tatiana [17]2 years ago
6 0
First, you would divide the 3/8 by 3 to get how many miles in 1 minute. 
3/8 by 3 is the same thing as 3/8 times 1/3. Which equals 1/8. 
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A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of
Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that \mu = 15.4, \sigma = 3.5

16 items are chosen at random

This means that n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

Z = \frac{16.8 - 15.4}{0.875}

Z = 1.6

Z = 1.6 has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0
2 years ago
$834, 3%, 15 months ?
NISA [10]

Answer: 25.02 x 15= 375.30

Step-by-step explanation:

3 0
2 years ago
In the diagram below, value of x is: <br><br> A. 11 <br><br> B. 55<br><br> C. 5<br><br> D. 35
koban [17]
Sum of complementary angles = 90
so
5x + 35 = 90
5x = 90 -35
5x = 55
x = 11

answer is A. 
x = 11
3 0
2 years ago
your local gas stations are having a price war during the past seven days they have lowered the price of regular gas by $0.2 eac
Serga [27]
<h2>Answer with explanation:</h2>

Let x denotes the number of days and y denotes the total change in gas price ( in dollars).

Given : During the past seven days the price of regular gas is decreased by $0.2 each day.

Rate of decrease =$0.2 per day

Then , Total change in gas price = Rate of decrease x Number of days

i.e.y= 0.2 \times x

i.e. y=0.2x         (1)

To find the total change in gas price in 7 days , we put x= 7 in (1) , we get

y=0.2(7)=1.4    

Hence, the total change in gas price in 7 days = $1.4

8 0
3 years ago
If 1 mile is equal to 1.6 kilometers, convert 50 kilometers to miles.
Free_Kalibri [48]
1 mile = 1.6 km
x = 50 × 1.6
x = 80 miles
4 0
3 years ago
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