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GrogVix [38]
3 years ago
7

Find the fourth term of the

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

Answer:

The fourth term of the geometric sequence is 512.

Step-by-step explanation:

To find the geometric sequence of the nth term we will use the formula:

An = a×r^(n-1)

As, we have to find the fourth term,

A4 = 8×(4)^4-1

A4 = 8×64

A4 = 512.

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The feet of the average adult woman are 24.6 cm long, and foot lengths are normally distributed. If 16% of adult women have feet
nevsk [136]

Answer:

Approximately 16% of adult women have feet longer than 27.2 cm.

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.

The feet of the average adult woman are 24.6 cm long

This means that \mu = 24.6

16% of adult women have feet that are shorter than 22 cm

This means that when X = 22, Z has a p-value of 0.16, so when X = 22, Z = -1. We use this to find \sigma

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

-1 = \frac{22 - 24.6}{\sigma}

-\sigma = -2.6

\sigma = 2.6

Approximately what percent of adult women have feet longer than 27.2 cm?

The proportion is 1 subtracted by the p-value of Z when X = 27.2. So

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

Z = \frac{27.2 - 24.6}{2.6}

Z = 1

Z = 1 has a p-value of 0.84.

1 - 0.84 = 0.16

0.16*100% = 16%.

Approximately 16% of adult women have feet longer than 27.2 cm.

3 0
3 years ago
Do u know math?......<br><br>​
Softa [21]

Answer

A. -128, 254, -508

5 0
2 years ago
Read 2 more answers
Tina is ordering a pair of shoes that cost $123.99. If the sales tax is 8% and the shipping is $19.99, what is the total cost?
maksim [4K]
First you want to times 123.99 * 0.08
now round what you get (9.9192) to (9.92)
add that to 123.99 and then add 19.99 (Shipping)
The answer is $153.90
4 0
3 years ago
Read 2 more answers
What is the vertex of the function x2 - 14x - 95 = 0?
monitta
I hope everythink is clearly :) If not just ask :)


answer for your question is starting when x^2-14x-95=0. Just Ignore this above this.

6 0
3 years ago
What meets a segment at its midpoint at a 90 degree angle?
marysya [2.9K]

Answer:

The right angle's vertex.

Step-by-step explanation:

A right angle is 90 degrees. The vertex is at the middle of the angle, so that point is used to draw a segment in the middle of the right angle.

6 0
1 year ago
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