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2 years ago

PLEASE HELP 7TH GRADE MATH

Mathematics

1 answer:

Natasha2012 [34]2 years ago

3 0

Answer:

Step-by-step explanation:

88 N

----- = -----

100 450

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An estate valued at $60 000 is divided among

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3 years ago

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Iq scores follow a normal distribution with mean 100 and standard deviation 15. give 100 random city college students a standard

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About 68% of the people will score between 85 and 115.

The values of 85 and 115 are exactly 15 points away, or 1 standard deviation, away from the mean.

According to the empirical rule, about 68% of the values in a normal distribution are within 1 standard deviation of the mean.

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3 years ago

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3 years ago

A cylindrical can of soup has a diameter of 7 cm and a height of 10 cm. How much soup is in the can, in terms of π?

Natasha2012 [34]

Answer:

B) 122.5π cm3

Step-by-step explanation:

Volume of a cylinder = $\pi r^{2} h$

r= radius , but we are given diameter or 7cm, radius = diameter/2 =7/2 = 3.5cm

h= height, given as 10cm

$\pi = constant$

Next, plug in the numbers into the formula;

$=\pi *3.5^{2} *10\\ \\ =\pi *12.25 *10\\ \\ =122.5\pi$

Therefore, the volume of soup in the can is 122.5 $\pi cm^{3}$

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There are 10 balls in an urn, numbered from 1 to 10. If 5 balls are selected at random and their numbers are added, what is the

Kisachek [45]

Let $B_i$ denote the value on the $i$ -th drawn ball. We want to find the expectation of $S=B_1+B_2+B_3+B_4+B_5$ , which by linearity of expectation is

$E[S]=E\left[\displaystyle\sum_{i=1}^5B_i\right]=\sum_{i=1}^5E[B_i]$

(which is true regardless of whether the $X_i$ are independent!)

At any point, the value on any drawn ball is uniformly distributed between the integers from 1 to 10, so that each value has a 1/10 probability of getting drawn, i.e.

$P(X_i=x)=\begin{cases}\frac1{10}&\text{for }x\in\{1,2,\ldots,10\}\\0&\text{otherwise}\end{cases}$

and so

$E[X_i]=\displaystyle\sum_{i=1}^{10}x\,P(X_i=x)=\frac1{10}\frac{10(10+1)}2=5.5$

Then the expected value of the total is

$E[S]=5(5.5)=\boxed{27.5}$

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2 years ago