2 years ago

1. The ratio of students in 8th grade that preferred math

Mathematics

1 answer:

Marta_Voda [28]2 years ago

5 0

Answer:

a. 180

Step-by-step explanation:

$\frac{4x}{10}$ = $\frac{72}{1}$

cross-multiply:

4x = 720

x = 180

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The life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours. What is the

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Answer:

x = 100 is equivalent to z = -1.75

Step-by-step explanation:

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3 years ago

The radius of a circle is 17 in. Find its area in terms of π.

AnnyKZ [126]

A≈907.92in²

Because:

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2 years ago

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The wildflowers at a national park have been decreasing in numbers. There were 1200 wildflowers in the first year that the park

Andreas93 [3]

Answer:

Step-by-step explanation:

We have total 1200 wildflowers in first year that is first term a is 1200

We have to find sigma notation showing the infinite growth of the wildflowers.

$wildflowers=\sum_{i=1}^{\infty }1200(\frac{1}{4})^{i-1}$

Formula for infinite sum of GP is $S_{\infty}=\frac{a}{1-r}$

Here, $a=1200,r=\frac{1}{4}$

On substituting the values in the formula of sum we get:

$S_{\infty}=\frac{1200}{1-\frac{1}{4}}$

On simplification we get:

$S_{\infty}=\frac{1200}{\frac{3}{4}}=1600$

Therefore, total sum of wildflowers 1600.

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3 years ago

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How do you factor this polynomial?

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The answer is (3x + 5) ^2

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2 years ago

This is an example of an arithmetic series: 6 + 8 + 10 + 12 + . . . + (4 + 2n) + . . .

nasty-shy [4]

True. A series is arithmetic if its terms come from an arithmetic sequence.

And a sequence is said to be arithmetic any of its two consecutive terms differ by a fixed difference, common to any consecutive pair.

As you can see, in this case, all terms differ by 2, so the sequence

$6,\ 8,\ 10,\ 12,\ \ldots,\ 4+2n$

is arithmetic, and thus the series

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is arithmetic as well.

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2 years ago