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Radda [10]
3 years ago
8

Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches.

Find the value of the quartile Q3. (Hint: Q3 has an area of 0.75 to its left.)
Mathematics
1 answer:
Maurinko [17]3 years ago
3 0

Answer:

Q3 = 65.7825.

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.

In this problem, we have that:

\mu = 63.6, \sigma = 2.5

Find the value of the quartile Q3. (Hint: Q3 has an area of 0.75 to its left.)

This is the value of X when Z has a pvalue of 0.75. So it is X when Z = 0.675.

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

0.675 = \frac{X - 63.6}{2.5}

X - 63.6 = 0.675*2.5

X = 65.7825

Q3 = 65.7825.

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Which equation is equivalent to (1/3)^x=27^x+2?
ruslelena [56]
Ok so the answer is D because first I solved the equation because you can’t find which answer choice it is equivalent to if you didn’t solve it ... so I solved the equation and got x=-3/2 how I solved this is

3^-x = 3^3x+6 ... since the bases are the same, set the exponents equal
-x=3x+6..... move the variable to the left-hand side and change its side
-x-3x=6 ... collect like terms
-4x = 6..... divide both sides of the equation by -4 and I got x=-3/2
I don’t want this text to be that long so they both seem calculated the same way that’s why i got -3/2 hope that helps;-;
6 0
3 years ago
I chose circle is closed and graph is shaded to the left of the circle and it said that was wrong. Please help, thank you
Tems11 [23]
The circle is closed and the graph is shaded to the right also there’s a negative on the x, you have to get rid of it first by dividing by -1 and then you switch direction of the less than or equal to greater than or equal because you divided by negative

6 0
3 years ago
Can someone help me D: thanks in advance :D
max2010maxim [7]

Answer:

3) 27 cubed

4) 72 cubed

5) 125 cubed

8) 27 cubed. 3 is the length, 3 is the width, and 3 is the height.

9) 72 cubed. 6 is the length, 3 is the width, and 4 is the height.

10) 125 cubed. 5 is the length, 5 is the width, and 5 is the height.

Step-by-step explanation

Here's what to show if your teacher requires for you to show your work.

3) 3 x 3 x 3 = 27

4) 6 x 3 x 4 = 72

5) 5 x 5 x 5 = 125

8) 3 x 3 x 3 = 27

9) 6 x 3 x 4 = 72

10) 5 x 5 x 5 = 125

These are the ones I'd suggest putting the up and down form on.

10) and 5) Also put 5 x 5 = 25.          4) and 9) Also put 6 x 3 = 18.

     <em>2                                                        3</em>

     25                                                      18

  <u>x  5 </u>                                                     <u>x 4  </u>

   125                                                      72

Hoped this answered everything! Feel free to ask me if there's something I missed! :)

4 0
2 years ago
Please answer this for me SHOW WORK 60 points and brainliest
Sliva [168]

Answer:

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Step-by-step explanation:

3 0
3 years ago
If 800g of a radioactive substance are present initially and 8 years later only 450g remain, how much of the substance will be p
artcher [175]

A=Pe^(rt)

P = 800g

t = 8 years

A = 450g

r = This is what we will try and find to start with

450=800e^(r*8)

After running the math through a calculator, we end with r = -0.07192

Now we just re-input this information into our equation: A=800e^(-0.07192*16)

A=800e^(1.15072)

Now we will re-write the equation using the negative exponent rule:

A = 800 1/e^1.15072

Combine right side:

A = 800/e^1.15072

Then do the math:

A = 253.12709836......

That will give us A = 253 (rounded to the whole number)

I hope this helps! :)

5 0
3 years ago
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