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2 years ago

The circumference of a circle is 100.48 inches. What is the circle's diameter? Use 3.14 for .

Mathematics

1 answer:

krok68 [10]2 years ago

7 0

Answer:

<u>d = 32 inches</u>

Step-by-step explanation:

C = 2 × 3.14 × r

100.48 = 2 × 3.14 × r

Now divide 100.48 by 2 and 3.14 to get the radius:

r = 16 inches

The radius is half of the diameter, so...

<u>d = 32 inches</u>

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Just answer plz no step-by-step

adell [148]

Answer:

Step-by-step explanation:

❂Hello there❂

❉Basically the answer is 32

❉ If you change your mind and need a method just ask :)

❉Zervi

5 0

3 years ago

Pls help with #14 and #15!!!Asap 15 points

inna [77]

Answer:

14. -g + 10, 15. 12k + 3

Step-by-step explanation:

I'm assuming you want to simplify the equation. For 14, we distribute -2. This gets us -2g + 10 + g. We can simplify that to -g + 10. We can't simplify that, so our answer is complete. For 15, we combine 8k and 4k to get 12k + 3. That can't be simplified, so we are done.

8 0

3 years ago

PLS HELP WILL GIVE BRAINLIEST :)

Rus_ich [418]

Step-by-step explanation:

the slope intercept form is

y = ax + b

"a" being the slope, "b" being the y- intercept (which is the y-value when x = 0).

the slope here :

in the table x is always increasing by 2.

and y is always investing by 1.

so, the slope is 1/2

the y-intercept :

we need to find the y-value for x = 0.

but we don't have a data point with x = 0 in the table.

so, we have to extend the structure of the table to the left.

x decreases by 2 (making it 0), and y decreases by 1 (making it -1).

therefore, the y- intercept (b) is -1.

and the line equation is

y = (1/2)x - 1

not sure about "the other method".

there is the point-slope form of the equation :

y - y1 = a(x - x1)

again with "a" begin the slope, and (x1, y1) being a point on the line.

if we get the y-intercept in the table, then this point is (0, y1).

and the equation would be

y - y1 = ax

in our case

y + 1 = (1/2)x

and another method ?

sometimes people write

nx + my = c

in our case starting with the original equation

y = (1/2)x - 1

2y = x - 2

-x + 2y = -2

x - 2y = 2

6 0

2 years ago

In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour

Lesechka [4]

Answer:

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=54$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=21$ represent the sample standard deviation

n=16 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.90 or 90%, the value of $\alpha=1-0.9=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Now we have everything in order to replace into formula (1):

$54-1.64\frac{21}{\sqrt{16}}=45.39$

$54 +1.64\frac{21}{\sqrt{16}}=62.61$

So on this case the 90% confidence interval would be given by (45.39;62.61)

4 0

3 years ago

When viewed from the front, the rope used to tie down a tent forms a pair of supplementary angles with the ground. Find $m\angle

pentagon [3]

Answer:

<ABC = 49°

Step-by-step explanation:

The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;

3x+4+8x+11 = 180

11x+15= 180

11x = 180-15

11x = 165

x = 165/11

x = 15

From the attached diagram, <ABC = 3x+4

<ABC = 3(15)+4

<ABC = 45+4

<ABC = 49°

3 0

3 years ago

The circumference of a circle is 100.48 inches. What is the circle's diameter? Use 3.14 for ​.

The circumference of a circle is 100.48 inches. What is the circle's diameter? Use 3.14 for .