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4 years ago

Plzzzzzzzzzzzzzzzzzzzzzz neeed help dew nowwwwwwwwwwwwwwwwwwwwwwwwwww

Mathematics

1 answer:

vampirchik [111]4 years ago

4 0

Answer:

64 teachers

Step-by-step explanation:

We can use ratios to solve

14 students 896 students

----------------- = -------------

1 teacher x teachers

Using cross products

14 * x = 896*1

Divide each side by 14

14x/14 = 896/14

x =64

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In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67 inches and a s

liq [111]

Answer:

a) 20.33% probability that the participant is less than 64.5 inches.

b) 33.72% probability that the participant is more than 68.25 inches

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

$\mu = 67, \sigma = 3$

a.) Find the probability that the participant is less than 64.5 inches?

This is the pvalue of Z when X = 64.5.

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

$Z = \frac{64.5 - 67}{3}$

$Z = -0.83$

$Z = -0.83$ has a pvalue of 0.2033

20.33% probability that the participant is less than 64.5 inches.

b.) Find the probability that the participant is more than 68.25 inches?

This is 1 subtracted by the pvalue of Z when X = 68.25.

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

$Z = \frac{68.25 - 67}{3}$

$Z = 0.42$

$Z = 0.42$ has a pvalue of 0.6628

1 - 0.6628 = 0.3372

33.72% probability that the participant is more than 68.25 inches

3 0

4 years ago

A football is punted from a height of 2.5 feet above the ground with an initial vertical velocity of 45 feet per second.

Vikentia [17]

Answer:

1.451 seconds. Hurry.

Step-by-step explanation:

The position(height, h) of the foot ball will be given by the equation:

h = -32.2t^2 + 45t + 2.5

The term -32.2t^2 consists of the acceleration caused by gravity at Earth's surface ( -32 ft/sec^2) and the term +45t accounts for the initial velocity. The + is assigned since the ball is moving vertically from ground. The negative sign in -32t^2 is due to the acceleration being towards ground. The term 2.5 accounts for the fact that the initial height of the ball is 2.5 feet above ground.

We can either calculate or graph with this function to find the time the ball spends in the air:

<u>Calculate: </u>

h = -32.2t^2 + 45t + 2.5

We need a value of t that would cause h to be 5.5 feet, the level it was caught:

5.5 = -32.2t^2 + 45t + 2.5

-32.2t^2 + 45t + 2.5 = 5.5

-32.2t^2 + 45t -3.0 = 0

Solve for t using the quadratic formula. I get a value of 1.33 seconds.

<u>Graph:</u>

See the attached graph. It confirms the 1.33 second value

8 0

2 years ago

What pattern can i say here 2,5,11,23,47

Vilka [71]

Answer:

Your rule is: Multiply 2, Add 1

Step-by-step explanation:

Check:

2 x 2 = 4 + 1 = 5

5 x 2 = 10 + 1 = 11

11 x 2 = 22 + 1 = 23

23 x 2 = 46 + 1 = 47

3 0

4 years ago

Read 2 more answers

. Error Analysis Describe and correct the error

aleksklad [387]

Answer:

Step-by-step explanation:

$\sqrt{144} = 12$

the error was in not take the root of the number correctly

the student assumes that the root of 144 was equal to 72

4 0

3 years ago

Four runners are training for long races. Noah Ran 5.123 miles. Andre ran 6.34 miles. Jada ran 7.1 miles. Diego ran 8 miles.

VashaNatasha [74]

5.5 is a lot closer then the others

7 0

3 years ago