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3 years ago

Use this formula to find all the solutions of the equation. (Round terms to four decimal places)

1 answer:

3 0

I might be misreading something here but if:

x^5+243=0 subtract 243 from both sides

x^5=-243 raise both sides to the 1/5 power (or take the fifth root of both sides)

x=-3

So there is only one solution, x=-3

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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

Help help !! Please

JulijaS [17]

Answer:

mean = 70000

SD = 15239

X= 95000

Z = (X-mean)/ SD

= (95000-70000)/15239

= 1.64

Now from Z-Table

% of employees = 100(1-.9495) = 5.02%

8 0

3 years ago

In a certain study, the chance of encountering a car crash on the roadstudy, the chance of encountering a car crash on the road

pshichka [43]

10% as a decimal (a value between 0 and 1) is 0.1

8 0

3 years ago

Two lines intersect at a point. The vertical angles formed are supplementary.

Nastasia [14]

we know that

Vertical angles are a pair of opposite and congruent angles formed by intersecting lines.

Let

x1---------> angle vertical 1

x2---------> angle vertical 2

x1=x2 ------> equation 1

in this problem

if the vertical angles formed are supplementary

that means that

x1+x2=180 ------> equation 2

substitute equation 1 in equation 2

x1+x1=180

2x1=180

x1=180/2

x1=90 degrees

therefore

the answer is

The vertical angles are right angles

8 0

3 years ago

Can one fifth be simplified

Svetradugi [14.3K]

No, and never, cus there ain't any numbers that are greater than 1 that can go into both of them.
so basically if the numerator is 1, you can't simplify it anymore. Is Impossible.

3 0

3 years ago