What is the radius of a circle with circumference 22m? Instructions: Solve Each Problem. Round to the nearest tenth, If necessary. Use 3.14

Answers

Answer 1

Answer: The radius of a circle: r = ?
C = 22 m
C = 2 r π
r = C /( 2 π )
r = 22 / ( 2 · 3.14 )
r = 22 / 6.28
Answer:
r = 3.5 m

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A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar equals 12.8 books and sequels 16.6 books. Construct a 99% confidence interval for the mean number of books people read. Interpret the interval.

Answers

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_(\alpha/2) (s)/(√(n))$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_(\alpha/2)=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 (16.6)/(√(1003))=11.448$

$12.8 + 2.58 (16.6)/(√(1003)) =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

(05.02)An artist is designing a kite like the one show below. Calculate the area to determine how much material she will need to create the kite.A kite with two top triangles with height of 5 inches and a base 7.5 inches. The bottom two triangles share the base but have a height labeled 14 inches.
142.5 square inches
105 square inches
37.5 square inches
34 square inches

Answers

Answer:

(A) 142.5 square inches

Step-by-step explanation:

It is given that A kite with two top triangles with height of 5 inches and a base 7.5 inches. The bottom two triangles share the base but have a height labeled 14 inches that is:

DE=5in, EC=7.5in, EB=14in

Now, area of the two top triangles of the kite= $2((1)/(2){*}EC{*}DE)$

= $EC{*}DE$

= $7.5{*}5$

= $37.5 square inches$

Also, area of the two bottom triangles of the given kite= $2((1)/(2){*}EC{*}EB)$

= $EC{*}EB$

= $7.5{*}14$

= $105 square inches$

Therefore, the total area of the kite=area of the two top triangles of the kite+area of the two bottom triangles of the given kite

=37.5+105

=142.5 square inches.

Observe the following pattern.1x9- 1=821 X9-1=188321 X9 -1 = 28884321 X 9 -1 = 38888please tell the full solution not only answer I know what the answer is but I want the solution please give. the solution.

Answers

Final answer:

The given pattern is a mathematical sequence where each number is obtained by multiplying the previous number by 9 and subtracting 1. The solution to the pattern is 8, 72, 647, 5822, 52499.

Explanation:

The given pattern is a mathematical sequence where each number is obtained by multiplying the previous number by 9 and subtracting 1. The pattern continues by multiplying the new number by 9 and subtracting 1 again.

Let's break down the steps for each number in the sequence:

1 x 9 - 1 = 8
8 x 9 - 1 = 72
72 x 9 - 1 = 647
647 x 9 - 1 = 5822
5822 x 9 - 1 = 52499

Therefore, the solution to the given pattern is 8, 72, 647, 5822, 52499.

Learn more about Mathematical sequence here:

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Can you tell me what 6+3.9 is

Answers

Answer:

9.9

Step-by-step explanation:

6 + 3.9 = 9.9

you add the two whole numbers together and get 9

then you need to add whatever is behind the decimal point which is 9

add them together and you get 9.9

Consider the exponential function f(x) = 1/5(15x). What is the value of the growth factor of the function?a.1/5
b.1/3
c.5
d.15