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3 years ago

After 30 baseball games, a rod had 25 hits. of after 100 games he has 80 hits what is his average hits per baseball game

Mathematics

1 answer:

Sergio [31]3 years ago

4 0

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Which statement about the following system of inequalities is true?

tatyana61 [14]

Answer: Option C) The solution contains points in three quadrants of the coordinate plane.

Please, see the attached files.

Thanks.

8 0

3 years ago

Consider the region bounded by 4y=x^2 and 2y=x.

gayaneshka [121]

Answer:

a) ⅓ units²

b) 4/15 pi units³

c) 2/3 pi units³

Step-by-step explanation:

4y = x²

2y = x

4y = (2y)²

4y = 4y²

4y² - 4y = 0

y(y-1) = 0

y = 0, 1

x = 0, 2

Area

Integrate: x²/4 - x/2

From 0 to 2

(x³/12 - x²/4)

(8/12 - 4/4) - 0

= -⅓

Area = ⅓

Volume:

Squares and then integrate

Integrate: [x²/4]² - [x/2]²

Integrate: x⁴/16 - x²/4

x⁵/80 - x³/12

Limits 0 to 2

(2⁵/80 - 2³/12) - 0

-4/15

Volume = 4/15 pi

About the x-axis

x² = 4y

x² = 4y²

Integrate the difference

Integrate: 4y² - 4y

4y³/3 - 2y²

Limits 0 to 1

(4/3 - 2) - 0

-2/3

Volume = ⅔ pi

7 0

3 years ago

What is the 8th term of the geometric sequence 8,16,32

ratelena [41]

the 8th term of the geometric sequence 8, 16, 32 is 1024

<h2>Explanation</h2>

geometric sequence 8, 16, 32

<u>the </u><u>question</u><u> </u><u>is</u>

the 8th term

<u>the </u><u>answer </u><u>is</u>

first we have to find the ratio

$\sf r= \frac{ U_2}{U_1} \\ \sf r= \frac{ 16}{8} \\ \sf r = 2$

than, we have to find the 8th term

$\sf U_n = ar^{n-1} \\ \sf U_8 = 8 \times 2^{8-1} \\ \sf U_8 = 8 \times 2^7 \\ \sf U_8 = 8 \times 128 \\ \bold {\sf U_8 = 1024}$

<h2>Learn more</h2>

About geometric pattern

brainly.com/question/16762536

<h2>Answer details</h2>

grade: 7th

subject: mathematics

chapter: sequence

keywords: geometric sequence

7 0

3 years ago

A circle with circumference of 20 has an arc with a 72 degree central angle what is the length of the arc

FinnZ [79.3K]

Answer:

Step-by-step explanation:

3 0

3 years ago

Find the variance of the following data. Round your answer to one decimal place. x 1 2 3 4 5 P(X=x) 0.3 0.2 0.2 0.1 0.2

Reptile [31]

The variance of a distribution is the square of the standard deviation

The variance of the data is 2.2

<h3>How to calculate the variance</h3>

Start by calculating the expected value using:

$E(x) = \sum x* P(x)$

So, we have:

$E(x) = 1 * 0.3 + 2* 0.2 +3 * 0.2 + 4 * 0.1 + 5 * 0.2$

This gives

$E(x) = 2.7$

Next, calculate E(x^2) using:

$E(x^2) = \sum x^2* P(x)$

So, we have:

$E(x^2) = 1^2 * 0.3 + 2^2* 0.2 +3^2 * 0.2 + 4^2 * 0.1 + 5^2 * 0.2$

$E(x^2) = 9.5$

The variance is then calculated as:

$Var(x) = E(x^2) - (E(x))^2$

So, we have:

$Var(x) = 9.5 - 2.7^2$

$Var(x) = 2.21$

Approximate

$Var(x) = 2.2$

Hence, the variance of the data is 2.2