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2 years ago

Fill in the blank.(5x)2=___ x2

Mathematics

1 answer:

Anna [14]2 years ago

8 0

Answer:

5 is the answer

because it is commutative property

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Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

NeTakaya

Answer:

$\mu = 11$

$\sigma = 2.08$

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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

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

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

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

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

Standard deviation:

$1.44\sigma = 14 - \mu$

$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

$\sigma = 2.08$

7 0

2 years ago

Help me please peoplee

spayn [35]

it's 9 because 58-49=9

So the answer is 9

<h2>Hope this helps :></h2><h2 /><h2>From Cambridge</h2><h2 /><h2>Please give brainliest</h2>

3 0

2 years ago

How to convert numbers to scientific notation

Natalka [10]

To convert to scientific notation, start by moving the decimal place in the number until you have a coefficient between 1 and 10; here it is 3.45. The number of places to the left that you had to move the decimal point is the exponent. Here, we had to move the decimal 4 places to the right, so the exponent is -4.

2340000 = 2.34 x 10^6

0.000034= 3.4 x 10^-5

6 0

3 years ago

Y = 7x is that a direct variation or no

natta225 [31]

Answer:

Step-by-step explanation:

yes i think so

5 0

2 years ago

Use the graph to determine the domain and range of the relation, and whether the relation is a function

MAVERICK [17]

domain is correct for b and c

the graph is a function because each value of x has only one y value

hence answer is B

8 0

3 years ago