Algebra 1<br> What is the greatest possible error for a measurement of 4 inches?<br> inches

For an intramural sports program at a particular college, the time to run one mile is recorded for 200 male students in the prog

jeka57 [31]

Answer:

Devon has the lower z-score, so he was faster relative to his gender.

Step-by-step explanation:

Z - score

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.

Who ran the mile faster relative to their gender?

Who runs in less time the mile is faster, so whoever has the lower z-score is faster relative to their gender.

Devon participates in the intramural program for men. His best time to run the mile is 6.6 minutes.

For men, these times are approximately normal with mean 8 minutes and standard deviation 1 minute.

So we have to find Z when $X = 6.6, \mu = 8, \sigma = 1$

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

$Z = \frac{6.6 - 8}{1}$

$Z = -1.4$

Kendall participates in the intramural program for women. Her best time to run the mile is 5.7 minutes.

For women, these times are approximately normal with mean 7.5 minutes and standard deviation 2 minutes.

So we have to find Z when $X = 5.7, \mu = 7.5, \sigma = 2$

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

$Z = \frac{5.7 - 7.5}{2}$

$Z = -0.9$

Devon has the lower z-score, so he was faster relative to his gender.

5 0

3 years ago

17. The current low temperature in uxbridge is 18 degrees Fahrenheit. Over the next two days the low temperature will decrease 1

tensa zangetsu [6.8K]

Answer:

Expression: 18 - 12 + 7. In 3 days, the temperature will be 13 degrees.

Step-by-step explanation:

The temperature is 18 degrees.

It will decrease 12 degrees after one day. So, it is 18 - 12.

Then it will increase by 7 degrees after another day. So, it is 18 - 12 + 7.

18 - 12 = 6. 6 + 7 = 13.

So, the expression is 18 - 12 + 7 and the answer is 13 degrees (i think)

4 0

2 years ago

Can anyone help with problem 9.9 in the middle pls

ELEN [110]

Answer:

Angle 1: 53

Angle 2: 72

Angle 3: 55

Angle 4: 127

Angle 5: 53

Angle 6: 66

Angle 7: 125

3 0

2 years ago

What does 144 =to for a squared

Dafna11 [192]

12 *12 = 144

Therefore 12^2 = 144

5 0

2 years ago

Read 2 more answers

Use Hooke's Law to determine the work done by the variable force in the spring problem. A force of 450 newtons stretches a sprin

vlada-n [284]

Answer:

The work done is 202.50Nm

Step-by-step explanation:

Given

$F =450N$

$x_1 = 30cm$

$x_2 = 60cm$

Required

The work done

First, we calculate the spring constant (k)

$F = kx_1$

$450N = k *30cm$

$k = \frac{450N}{30cm}$

$k =15N/cm$

So:

$F = kx_1$

$F(x) = 15x$

The work done using Hooke's law is:

$W =\int\limits^a_b {F(x)} \, dx$

This gives:

$W =\int\limits^{60}_{30} {15x} \, dx$

Rewrite as:

$W =15\int\limits^{60}_{30} {x} \, dx$

Integrate

$W =15 \frac{x^2}{2}|\limits^{60}_{30}$

This gives:

$W =15 *\frac{60^2 - 30^2}{2}$

$W =15 *\frac{2700}{2}$

$W =15 *1350$

$W =20250N-cm$

Convert to Nm

$W =\frac{20250Nm}{100}$

$W =202.50Nm$

7 0

3 years ago

Algebra 1 What is the greatest possible error for a measurement of 4 inches? inches