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1 year ago

Estimate the quotients 1.64÷22

Mathematics

1 answer:

Nadya [2.5K]1 year ago

3 0

ANSWER

0.1

EXPLANATION

We want to estimate the quotient of 1.64 ÷ 22.

To do this, we will approximate the two numbers to whole number and solve it.

It becomes:

2 ÷ 20

That is:

Note: since 2 cannot be divided by 20, we write 0. and add a 0 to the back of 2.

The estimate of the quotient is 0.1.

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IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identi

riadik2000 [5.3K]

Answer:

IQ scores of at least 130.81 are identified with the upper 2%.

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 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.

Mean of 100 and a standard deviation of 15.

This means that $\mu = 100, \sigma = 15$

What IQ score is identified with the upper 2%?

IQ scores of at least the 100 - 2 = 98th percentile, which is X when Z has a p-value of 0.98, so X when Z = 2.054.

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

$2.054 = \frac{X - 100}{15}$

$X - 100 = 15*2.054$

$X = 130.81$

IQ scores of at least 130.81 are identified with the upper 2%.

7 0

3 years ago

Chad is planting a plant that is 4 inches tall. He wants the hole he is digging to be as deep as the plant is tall. What integer

Arturiano [62]

Answer:

-4 in

Step-by-step explanation:

4 inches underground, assuming that ground level is 0, is negative four inches.

4 0

2 years ago

Find the length of each arc<br> r=13 ft x=90 degrees

VladimirAG [237]

Answer:

$13\pi/2$

Step-by-step explanation:

The formula of the circumference of a circle is $2\pi r$ .

The length of an arch can be found by using the ratio of circumference to the arc.

First, find the circumference of the circle:

$2\pi *13=26\pi$

Then you find the ratio:

The length of the arc is 90/360, which is 1/4, of the circumference.

Finally, find the length of the arc:

$26\pi*1/4=(13/2)\pi$ or $13\pi/2$

I hope this helps :)

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3 years ago

16-25(b+3) square

Andre45 [30]

Since 16 and 25 are perfect squares you can factor the first part.
4^2-5^2(b+3)^2
=(4-5(b+3))(4+5(b+3))
=(4-5b-15)(4+5b+15)
=(-11-5b)(19+5b)

Which can be expanded if necessary,
= -209+150b-25b^2

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3 years ago

When Sarah turned 18, she took $500 from her savings and opened a

Montano1993 [528]

The worth of Sarah's investment when she is 68 is $14,728.51.

<h3>What is the worth of the investment?</h3>

The formula that can be used to determine the worth of the investment is:

FV = P (1 + r)^n

FV = Future value

P = Present value

R = interest rate

N = number of years = 68 - 18 = 50

$500 x (1.07)^50 = $14,728.51

To learn more about future value, please check: brainly.com/question/18760477

6 0

2 years ago