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3 years ago

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write the missing exponent , 1/169 (fraction) = (1/13)_ <-- blank (what exponent goes in?) the picture's there to give an ide

a of the question.

1 answer:

Dafna1 [17]3 years ago

3 0

The answer is 2.

............

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Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c

Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

Step-by-step explanation:

When the distribution is normal, we use 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:

$\mu = 162, \sigma = 8$

a) The percentage of heights less than 150 centimeters

We have to find the pvalue of Z when X = 150. So

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

$Z = \frac{150 - 162}{8}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

6.68% of heights less than 150 centimeters

b) The percentage of heights between 160 centimeters and 180 centimeters

We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.

X = 180

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

$Z = \frac{180 - 162}{8}$

$Z = 2.25$

$Z = 2.25$ has a pvalue of 0.9878

X = 160

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

$Z = \frac{160 - 162}{8}$

$Z = -0.25$

$Z = -0.25$ has a pvalue of 0.4013

0.9878 - 0.4013 = 0.5865

58.65% of heights between 160 centimeters and 180 centimeters

7 0

3 years ago

Each person will eat 2/3 of a pound of Turkey and 8 people will be at party

disa [49]

Each person will get 5.33 pound of turkey.

6 0

3 years ago

Read 2 more answers

Help Me with this question please

artcher [175]

Answer:

22

Step-by-step explanation:

The abs of y is 29 because 29 is positive

51 - 29 = 22

4 0

3 years ago

Read 2 more answers

Qt + a = -1 <br><br> when q = 3 and t = 4

Pachacha [2.7K]

Answer:

$a=-13$

Step-by-step explanation:

We can use substitution to find the value of $a$ :

$qt+a=-1$

$3(4)+a=-1$

$12+a=-1$

$a=-13$

Hope this helps :)

5 0

3 years ago

You have an account with a principal of $200. it pays 8% at the end of every year. calculate the principal at the end of 3 years

Katarina [22]

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. The principal at the end of 3 years is $248.

<h3>What is simple interest?</h3>

Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,

SI = (P × R × T)/100

where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.

The principal at the end of 3 years is,

Principal after 3 years = P + (P × R × T)

= $200 + ($200 × 0.08 × 3)

= $200 + $48

= $248

Hence, the principal at the end of 3 years is $248.

Learn more about Simple Interest:

brainly.com/question/2793278

#SPJ1

3 0

1 year ago