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Mars2501 [29]
3 years ago
12

0.9 (13) - 1.7 (3) =

Mathematics
1 answer:
marissa [1.9K]3 years ago
8 0

Answer:

6.6

Step-by-step explanation:

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The heights of male are normally distributed with mean of 170 cm and standard deviation
Bumek [7]

Answer:

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 170cm and standard deviation of 7.5 cm.

This means that \mu = 170, \sigma = 7.5

Find the probability that a randomly selected male has a height > 180 cm.

This is 1 subtracted by the pvalue of Z when X = 180. So

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

Z = \frac{180 - 170}{7.5}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

4 0
3 years ago
The first term of a geometric series is -3, the common ratio is 6, and the sum of the series is -4,665 Using a table of values,
vladimir1956 [14]

Answer:

There are 5 terms in the series.

Step-by-step explanation:

S=a\frac{1-r^{n} }{1-r}\\a=-3\\r=6\\-4665=-3\frac{1-6^{n} }{1-6}\\1555=\frac{1-6^{n} }{-5}\\\-7775=1-6^{n}\\6^{n}=7776\\

Take logs to get n = 5

8 0
3 years ago
Read 2 more answers
Please help me on this
PolarNik [594]

Answer:

it's d

Step-by-step explanation:

8 0
3 years ago
10m-3(2m-9)=9(m-1)+1
Studentka2010 [4]
Reorder the terms 10m+(-9*-3+2m*-3)=9(m+-1)+1
combine like terms 10m+-6m=4m 27+4m = 9(m+-1)+1
solve 27+4m=-8+9m
m=7

3 0
3 years ago
ind the length of the longest side of the rectangle whose vertices are given. A(2, 1), B(5, 4), C(0, 3), D(3, 6) 2 rad2 3 rad2 r
trasher [3.6K]

Distance between A and B  

= Distance between C and D  

= sqrt((4 - 1)^2 + (5 - 2)^2)  

= sqrt(3^2 + 3^2)  

= sqrt(2 * 3^2)  

= sqrt(3^2) * sqrt(2)  

= 3sqrt(2)  

Distance between B and C  

= Distance between A and D  

= sqrt((4 - 3)^2 + (5 - 0)^2)  

= sqrt(1^2 + 5^2)  

= sqrt(26)  

Since sqrt(26) is more than 3sqrt(2), the length must be sqrt(26).

Hope this helps you.

5 0
3 years ago
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