A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?

Answer:

The best point estimate for a confidence interval estimating the population μ is 16 ounces.

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The best point estimate for a confidence interval estimating the population μ is

The sample mean, so 16 ounces.

T interval

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 102 - 1 = 101

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.36

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 16 - 0.79 = 15.21 ounces

The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces

The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.

Answer:

8 feet

Step-by-step explanation:

Ladder = hypotenuse

bottom of ladder to tree = leg

x, 6, 10

Clear 3-4-5 triangle so,

x=8

12 : 16

divide by 4

3 : 4

that's it

Answer:

Step-by-step explanation:

Answer:

9x+1 is your answer

Step-by-step explanation:

2x+1+7x

2x+7x+1

9x+1

Answer:

9x+1

Step-by-step explanation:

2x+1+7x= 9x+1

can i have brainliest please

Answer:

42.84 cm

Step-by-step explanation:

1) Find the perimeter of the top trapezoid. (In cm) 6 + 8 + 12 + 10 = 36 cm

2) Find the circumference of the semicircle with the formula 0.5(pie times D) where D is the diameter. Another formula is 0.5(pie times 2r) where r is the radius. Approximate pie to 3.14 so we should get 0.5 * 3.14 * 12 = 18.84 cm

3) We do not need the length of the base of the trapezoid so we take 36 + 18.84 - 12 = 42.84 cm

Answer:

320 cubic inches

Step-by-step explanation:

if I remember correctly you have to multiply the given numbers and then divide by that answer by 3 which gives you 320

Answer:

Volume of a rectangular pyramid  = (length x width x height) /3 cubic units.  

where W = 8 in,     h = 12 in,      L =  10 in.

Step-by-step explanation:

Volume = ( 10 x 8 x 12 ) /3 = 320 cubic inches.

I hope it help. Have a nice day.

Answer:

7.5 percent of 57.60 is 4.32

I hope this helps. :D

Answer:

y = 5x + 100

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The answer is −6(10a−7)(a−10)

Step-by-step explanation:

1) Factor out the common term 6.

[tex] - 6( {10a}^{2} - 107a + 70)[/tex]

2) Split the second term in 10a² - 107a + 70 into two terms.

[tex] - 6( {10a}^{2} - 7a - 100a + 70)[/tex]

3) Factor out common terms in the first two terms, then in the last two terms.

[tex] - 6(a(10a - 7) - 10(10a - 7))[/tex]

4) Factor out the common term 10a - 7.

[tex] - 6( 10a - 7)(a - 10[/tex]

Therefor, the answer is -6 ( 10a - 7) (a - 10).

Answer:

Use this as an example.

Step-by-step explanation:

a/b = 2/6 = 1/3

a/b = 1/3

b = 3a

a + b = a + 3a = 192

4a = 192

a = 192/4 = 48

b = 3a = 3(48) = 144

Answer:

294

Step-by-step explanation:

Given the regression equation :

y= -84.4+ .91x

The value of the x axis is the independent variable which is the homework score ; the predicted variable is the mid term score, which is the values represented on the y - axis :

. Hence, For a student whose homework score, x = 420 ; the predicted mid term score will be :

y= -84.4+ .91(420)

y = - 84.4 + 378

y = 293.6

y = 294

1 foot = 12 inches.

Divide total inches by 12:

51 / 12 = 4.25 feet.

The whole number is the number of feet. Now multiply the decimal portion by 12 to get inches:

0.25 x 12 = 3 inches

51 inches = 4 feet 3 inches

The student is 4 feet 3 inches tall

If she is 51 inches, and you want to find the height in feet and inches, just add 12 each times from zero, and since 12 inches is equal to one foot, we can determine the following: 12 can go into 51 about 4 times, which is roughly 48 inches. Then, just subtract 48 from 51, and the answer to that is 3. And since we already know that 48 inches is 4 feet, then all you need to do is add the 3 inches that are left, and you get 4' 3'', or four feet and three inches. I hope this helps you, have a great day!

Answer:

I think the answer is A. Hope this helps!

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

As given  

  1/sqrt2=x/5sqrt2

5sqrt2/sqrt2=x                Both sqrt will get cancelled

5=x

Answer:  $1.50 per ticket

Step-by-step explanation:

Divide 7.50 by 5 (You can do any of them. Like, 10.50/7 or 13.50/9 but you'll get the same answer.)

Once you divide them, you'll get 1.5.

$1.50 per ticket.

Not that bad

Answer:

I believe it's A=5 times 9 but since the triangle is special (3-4-5), it could be 12 times 5. Hope this kinda help :)

Answer:

ega caava 68=46

Step-by-step explanation:

tura pu ka dakkia chu la

Answer: 24

Step-by-step explanation:

Answer:

A control group is used in an experiment as a point of comparison.

Step-by-step explanation:

By having a group that does not receive any sort of treatment, researchers are better able to isolate whether the experimental treatment did or did not affect the subjects who received it.

Answer:

-4,1

Step-by-step explanation:

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

If the coordinates of each of the vertex on the coordinate grid:

P = (2, 4)

S = (3, 4)

V = (3, 0)

The slope of PV is -4.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

Triangle PSV:

The coordinates of each of the vertex on the coordinate grid:

P = (2, 4)

S = (3, 4)

V = (3, 0)

The slope of PV:

Choose any two coordinates from the line PV.

V = (3, 0) = (A, B)
P = (2, 4) = (C, D)

The slope of PV:

= (D - B) / (C - A)

= (4 - 0) / (2 - 3)

= 4 / -1

= -4

Thus,

If the coordinates of each of the vertex on the coordinate grid:

P = (2, 4)

S = (3, 4)

V = (3, 0)

The slope of PV is -4.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ6

Answer:

52

Step-by-step explanation:

when a letter is next to a number like that and they tell u what the letter is u times it so 6x7+10=52 hope this helped :P

Answer:

We accept the null hypothesis, that is, that the population mean is not different from 0.7.

Step-by-step explanation:

A brochure claims that the average maximum height a certain type of plant is 0.7 m.

This means that the null hypothesis is:

[tex]H_{0}: \mu = 0.7[/tex]

A gardener suspects that this estimate is not accurate locally due to soil conditions.

Hypothesis test to determine whether the population mean is different from 0.7m, which means that the alternate hypothesis is:

[tex]H_{a}: \mu \neq 0.7[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that [tex]\mu = 0.7[/tex]

A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.

This means, respectively, that [tex]n = 43, X = 0.65[/tex]

Assume that the population standard deviation is 0.2 m.

This means that [tex]\sigma = 0.2[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.65 - 0.7}{\frac{0.2}{\sqrt{43}}}[/tex]

[tex]z = -1.64[/tex]

Pvalue of the test:

Since we are testing that the mean is different of a value, and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -1.64

z = -1.64 has a pvalue of 0.0505

2*0.0505 = 0.101

Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.

0.101 > 0.01, which means that we accept the null hypothesis, that is, that the population mean is not different from 0.7.

So looking at the pattern you can tell that it is going by (-2)^(n-1)

if n=6 then we have (-2)^5 which is -32

The answers is D. -32

Answer:

A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

Step-by-step explanation:

The first four terms of a sequence are shown below.

Let

f(1) = 9

f(2) = 5

f(3) = 1

f(4) = -3

Therefore we know that

f(2) - f(1) = 5 - 9

f(2) - f(1) = - 4

f(2) = f(1) - 4

f(3) - f(2) = 1 - 5

f(3) - f(2) = - 4

f(3) = f(2) - 4

f(4) - f(3) = -3 - 1

f(4) - f(3) = - 4

f(4) = f(3) - 4

Hence the answer is A.) f(1) = 9, f(n + 1) = f(n) − 4; for n ≥ 1

Answer:

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Answer:

16

Step-by-step explanation:

Number of Markers =

[tex]2 \div \frac{1}{8} \\ = 2 \times 8 \\ = 16[/tex]