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bogdanovich [222]
2 years ago
14

The heights of male students are normally distributed with a mean of 160 cm and a standard deviation

Mathematics
1 answer:
Andreyy892 years ago
4 0

Answer:

he heights of a group of women are normally distributed with a mean of 170 centimeters and a standard deviation of 10 centimeters. What is the  -score of a member of the group who is 165 centimeters tall?

Step-by-step explanation:

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Marysya12 [62]

Answer:

\large\boxed{7.\ B.\ 8s^2+16s+1}\\\\\boxed{8.\ D.\ -15t^9u^{11}}\\\\\boxed{11.\ C.\ 3,\ -2}

Step-by-step explanation:

7.\\(3s^2+7s+2)+(5s^2+9s-1)=3s^2+7s+2+5s^2+9s-1\\\\\text{combine like terms}\\\\=(3s^2+5s^2)+(7s+9s)+(2-1)\\\\=8s^2+16s+1

8.\\(-3t^2u^3)(5t^7u^8)=(-3\cdot5)(t^2t^7)(u^3u^8)\qquad\text{use}\ a^na^m=a^{n+m}\\\\=-15t^{2+7}u^{3+8}=-15t^9u^{11}

11.\\n-the\ number\\\\n^2=n+6\qquad\text{subtract}\ n\ \text{and}\ 6\ \text{from both sides}\\\\n^2-n-6=0\\\\n^2+2n-3n-6=0\\\\n(n+2)-3(n+2)=0\\\\(n+2)(n-3)=0\iff n+2=0\ \vee\ n-3=0\\\\n+2=0\qquad\text{subtract 2 from both sides}\\n=-2\\\\n-3=0\qquad\text{add 3 to both sides}\\n=3

4 0
4 years ago
George has opened a new store and he is monitoring its success closely.
Nataly_w [17]
(r-c)(3) means that you will simply plug in the value 3 as x in the functions r(x) and c(x) and take the difference of both.

Solving for the value of the functions we'll get:
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c(3)= (3)^{2}-3(3)+14=9-9+4=4
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Since the value is positive, we can say that the store will profit in its third month. Knowing that r(x) and c(x) is measured in hundreds of dollars, we can also say that the profit will be $3400.

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Answer:

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Step-by-step explanation:

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