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3 years ago

12

It takes Emily 9 minutes to bicycle 3/10 of the way to school. How many minutes does it

1 answer:

xeze [42]3 years ago

6 0

Answer:30

Step-by-step explanation:

3/10x=90

Use reciprocal to multiple both sides

x=answer

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The amount of time all students in a very large undergraduate statistics course take to complete an examination is distributed c

Anestetic [448]

Answer:

a) The mean is $\mu = 60$

b) The standard deviation is $\sigma = 9$

Step-by-step explanation:

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 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.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when $X = 55.5, Z = -0.5$

So

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

$-0.5 = \frac{55.5 - \mu}{\sigma}$

$-0.5\sigma = 55.5 - \mu$

$\mu = 55.5 + 0.5\sigma$

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when $X = 71.52, Z = 1.28$

So

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

$1.28 = \frac{71.52 - \mu}{\sigma}$

$1.28\sigma = 71.52 - \mu$

$\mu = 71.52 - 1.28\sigma$

Since we also have that $\mu = 55.5 + 0.5\sigma$

$55.5 + 0.5\sigma = 71.52 - 1.28\sigma$

$1.78\sigma = 71.52 - 55.5$

$\sigma = \frac{(71.52 - 55.5)}{1.78}$

$\sigma = 9$

$\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60$

Question

The mean is $\mu = 60$

The standard deviation is $\sigma = 9$

6 0

2 years ago

At 8:00 a.m. the temperature outside in Juneau, Alaska was -16.5 . By noon the temperature had increased by 15.25 . What is the

adelina 88 [10]

It would be -1.25 degrees at noon.

3 0

3 years ago

What is an equation parallel to y=3x-5

choli [55]

Answer:

ANY line that has a slope of 3, and any y intercept other than -5.

Step-by-step explanation:

Parallel lines have the same slopes, but different y intercepts.

So, it would be ANY line that has a slope of 3, and any y intercept other than -5.

here are a few examples:

y=3x-17

y=3x+4

y=3x+3293248032843209.3432492384032984032984023840398249082

y=3x+5

y=3x-1

y=3x

7 0

2 years ago

6 pounds of apples cost $12 how much do 8 pounds cost?

Dvinal [7]

Since 6 lbs of apples cost $12, 1 lb will cost $2.
8 times 2 = 16
8 lbs of apples cost $16

hope this helps!!

4 0

2 years ago

Read 2 more answers

Help me please really simple

Mkey [24]

Answer:

the answer is x = 26

6 0

2 years ago

Read 2 more answers