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3 years ago

What is 9^7 written in expanded form

Mathematics

1 answer:

Helen [10]3 years ago

4 0

Answer:

9*9*9*9*9*9*9

Step-by-step explanation:

it's basically 9 multiply by itself for 7 times

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Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro

astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

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 question, we have that:

$\mu = 96, \sigma = 15.7$

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

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

$Z = \frac{123.4 - 96}{15.7}$

$Z = 1.745$

$Z = 1.745$ has a pvalue of 0.9595

1 - 0.9595 = 0.0405

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

7 0

3 years ago

A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position

Umnica [9.8K]

Answer:

height = 20.5068 m

Step-by-step explanation:

Given the data in the question;

First, lets calculate the amplitude, midline and period of 8minutes

Amplitude = 35 / 2 = 17.5

|A| = 17.5

A = - 17.5 { since the wheel starts at 6 o clock }

midline C = (35/2) + 3

C = 17.5 + 3

C = 20.5

And period is 8 minutes

⇒ 2π/B = 8

8B = 2π

B = 2π/8 = π/4

So our equation will be in the form of;

y = h(t) = Acos(B×t) + C

∴ h(t) = -17.5cos( π/4×t) + 20.5

Now, How high are you off the ground after 6 minutes

⇒ height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( π/4 × 6) + 20.5

height = -17.5cos( 4.71238898) + 20.5

height = -17.5 × cos( 4.712) + 20.5

height = -17.5 × -0.00038898 + 20.5

height = 0.0068 + 20.5

height = 20.5068 m

8 0

2 years ago

Enter the equation of the line in slope-intercept form.

antiseptic1488 [7]

Answer:

ajfbgaulfgsuidglml

Step-by-step example:

4 0

2 years ago

Which two are equivalent to 32 divided by 6?

Zarrin [17]

286 and 446 :) hope it helps

7 0

3 years ago

Read 2 more answers

For the linear function ƒ(x) = 7x – 4, find the range of ƒ(x) at x = –2, 0, and 2.

Tomtit [17]

Answer:range is -2

Step-by-step explanation:

5 0

3 years ago

What is 9^7 written in expanded form ​

What is 9^7 written in expanded form