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In-s [12.5K]
3 years ago
11

Solve this please

g2" id="TexFormula1" title=" logx + log \frac{x - 2}{21} = 3 log2" alt=" logx + log \frac{x - 2}{21} = 3 log2" align="absmiddle" class="latex-formula">
please with steps​

Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

x = 14 or —12

Step-by-step explanation:please see attachment for explanation

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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
Round 92.471 to the nearest tenth
olga55 [171]
The answer would be 92.5.

The 4 is the tenth
The 7 is the hundredth
The 1 is the thousandth
3 0
3 years ago
Read 2 more answers
(x7) - 3 = 4
inn [45]

Answer:

detailed one

Please mark as the BRAINLIEST

(ㆁωㆁ)

7 0
3 years ago
What are the zeros of f(x)=x^2-10+25
BartSMP [9]
Answer:
-5

Explanation:
Because it’s right
7 0
3 years ago
when (2x - 3)^2 is subtracted from 5x^2, what is the result? And how can I show the answer? Thank you x
Leni [432]
5x^2 - (2x - 3)^2 = 
5x^2 - ((2x - 3)(2x - 3)) =
5x^2 - (4x^2 - 6x - 6x + 9) =
5x^2 - (4x^2 - 12x + 9) =
5x^2 - 4x^2 + 12x - 9 =
x^2 + 12x - 9 <===
3 0
3 years ago
Read 2 more answers
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