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kvv77 [185]
3 years ago
13

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

Mathematics
1 answer:
Misha Larkins [42]3 years ago
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
You might be interested in
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

<u>Vertical angles</u> are a pair of opposite and congruent angles formed by intersecting lines.

so

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

<u>the answer is</u>

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.
<span>so basically if the numerator is 1, you can't simplify it anymore. Is Impossible.</span><span />
3 0
3 years ago
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