15 points help please solve each equation for both variables

Answer:

To find the radius..just divide them by two

For the diameter multiply by two

Circumference formula is

[tex]2\pi \: r[/tex]

Answer:

To answer this problem, first let us calculate for the theoretical probability obtained from the study conducted:

Theoretical Probability = 6,670 / 40,000

Theoretical Probability = 0.16675 = 0.17

From the given choices, the list of words which can give this similar amount of probability is:

“to, sarcastic, epithet, for, less, corruptible, than, the, offspring, open, any, primary, loyalty, table, out, whom, example, who, mention, say”

In this set of words, the number of words starting with letter T is 4. Calculating for the probability of getting a word starting with T in this set is:

Sample probability = 4 / 20

Sample probability = 0.20

Step-by-step explanation:

Answer:

Step-by-step explanation:buordjkdkeek

Answer: spinning a spinner with 4 equal sections 50 times

Step-by-step explanation:

The models that one can use to simulate the outcome of guessing the correct answers to a 50-question test will be to spinn a spinner with 4 equal sections 50 times.

Flipping a coin 50 times is wrong since the coin only has two outcomes which are head and tail. Rolling a 6-sided die 50 times is also wrong.

Therefore, the correct option is B.

Step-by-step explanation:

The figure is made up of an 8x8 square and 4 identical triangles with 8-ft bases and 4 ft in height. Each triangle has an area = (1/2)bh = (1/2)(8)(4) = 16 ft^2. The square part has an area of 8x8 = 64 ft^2. Therefore, the total area of the figure is

A = (area of square) + 4×(area of triangle)

= 64 ft^2 + 4(16ft^2)

= 128 sq ft

Answer:

280

Step-by-step explanation:

Answer:

3 decimal places

Step-by-step explanation:

square root of 11.737476 is 3.426

Answer:

3•426

having 3 decimal places

Answer:

45 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

Slope "m"

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~

( 4 , - 7 )

m = [tex]-\frac{1}{2}[/tex]

y - ( - 7 ) = [tex]-\frac{1}{2}[/tex] ( x - 4 )

y + 7 = [tex]-\frac{1}{2}[/tex] ( x - 4 )

Answer:

89.44

Step-by-step explanation:

[tex]120^2-80^2=8000[/tex]

[tex]\sqrt{8000} = 89.44[/tex]

Answer:

Below

Step-by-step explanation:

f(t) = 4.1 (sin pi/6 t  - pi/3) + 19.7    <===will be a maximum when the sin portion is equal to 1

   so    sin ( pi/6 t - pi/3) = 1     given that sin is equal to one   at 0 and pi and 2 pi  and 3 pi    and 4 pi   etc

              pi/6 t - pi/3 =  0  or pi , 2 pi, 3 pi  , 4 pi

                  then t = 2 and 8 and 14   and 20 hrs  ( every 6 hrs starting with t = 2)

Answer:

Number of year = 13 year and 6 month approx.

Step-by-step explanation:

Given:

Amount invested = $80,000

Rate of interest = 6% compounded  continuously

Future value of investment = $175,600

Find:

Number of year

Computation:

Future value of investment = Amount invested[1 + Rate of interest]ⁿ

175,600 = 80,000[1+6%]ⁿ

175,600 = 80,000[1+0.06]ⁿ

175,600 = 80,000[1.06]ⁿ

Number of year = 13.492 year

Number of year = 13 year and 6 month approx.

Answer:

The p-value for this test is 0.1375.

Step-by-step explanation:

A student believes that the average grade on the statistics final examination was 87. The student wants to test whether the average is different from 87 at 90% level of confidence.

At the null hypothesis, we test if the average is 87, that is:

[tex]H_0: \mu = 87[/tex]

At the alternate hypothesis, we test if the average is different from 87, that is:

[tex]H_a: \mu \neq 87[/tex]

The test statistic is:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

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

87 is tested at the null hypothesis:

This means that [tex]\mu = 87[/tex]

The average grade in the sample was 83.96 with a standard deviation of 12. Sample of 36

This means that [tex]X = 83.96, s = 12, n = 36[/tex]

Value of the test-statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{83.96 - 87}{\frac{12}{\sqrt{36}}}[/tex]

[tex]t = -1.52[/tex]

Pvalue:

Probability of the sample mean differing of 87, which means that we have a two-tailed test, with t = -1.52 and 36 - 1 = 35 degrees of freedom.

With the help of a calculator, the pvalue is of 0.1375.

The p-value for this test is 0.1375.

Answer:

3.6

Step-by-step explanation:

tan61=x/2

2(tan61)=x

3.6=x

Answer: QP=11.18cm;

QP=11.18cm;

m<Q=42;m<R=48*

Step-by-step explanation:

Hope this helps and the 48 degree

a) The process to find the limit is given as follows:

b) When a function does not have any discontinuity at x = 1, the procedure is the same as calculating f(1), however in the case of a discontinuity, such as for f(x), the discontinuity first has to be removed, if possible.

The first step in calculating the limit of a function is calculating the numeric value of the function at the value of x which the function approaches.

Hence:

For the case of g(x), there is a discontinuity, meaning that the function has to be factored to remove the discontinuity.

Applying the subtraction of perfect squares, we have that:

x² - 1 = (x - 1)(x + 1).

Then:

g(x) = (x - 1)(x + 1)/(x - 1) = x + 1.

Meaning that the limit is then calculated as follows:

lim x -> 1 g(x) = lim x->1 x + 1 = 1 + 1 = 2.

More can be learned about limits at brainly.com/question/26104792

#SPJ1

Answer:

it's C

Step-by-step explanation:

-16 means where the line crosses y axis

Answer:

20 is the answer

Step-by-step explanation:

I did the math.hope it helps :)

Answer:

5 Hours

Step-by-step explanation:

2 : 30 = 1 : 15

75 ÷ 15 = 5

Answer:

5 hours

Step-by-step explanation:

30/2 = 15 miles per hour

75/15 = 5 hours

Answer:c=35

Step-by-step explanation:

i just did this

Answer:

$1,158.08

Step-by-step explanation:

The value of the car in year 10 is $1158.08

From the table, we have the following points

(x, y) = (1,5000) and (2,4250)

Start by calculating the rate of depreciation using:

r = y2/y1

So, we have:

r = 4250/5000

Evaluate

r = 0.85

The value of the car in nth year is calculated using:

y = y1 * r^(n - 1)

For the 10th year, we have:

y = 5000 * 0.85^(10 - 1)

Evaluate the product

y = 1158.08

Hence, the value of the car in year 10 is $1158.08

Read more about depreciation at:

https://brainly.com/question/25806993

Answer:

174 ft²

Step-by-step explanation:

The polygon cam be decomposed into two rectangles.

The area of the polygon = rectangle A + rectangle B

Area of rectangle A = L* W

L = 18 ft

W = 9 ft

Area of rectangle A = 18*9 = 162 ft²

Area of rectangle B = L* W

L = 20 - 18 = 2 ft

W = 6 ft

Area of rectangle A = 2*6 = 12 ft²

✔️Area of the polygon = 162 + 12 = 174 ft²

Answer:

a, d, f

Step-by-step explanation:

3 - 3= 0

6 = 2(3)

3^2 = 9

Answer and Step-by-step explanation:

To find all equations where x = 3 is a solution, solve all equations for x and see if it is equal to 3.

A. x - 3 = 0

x = 3

B. 1 + x = 2

x = 1

C. 9 - x = 3

x = 6

D. 6 = 2x

x = 3

E. [tex]\frac{1}{5} x = 3[/tex]

x = 15

F. [tex]x^2 = 9[/tex]

x = 3

A, D, and F are the answers.

#teamtrees #PAW (Plant And Water)

Step-by-step explanation:

When the slope of the function is positive, it is increasing

when the slope of the function is negative, it is decreasing

just like with the line function  y = mx + b

so if you put a line tangent to the function at every point the slope of the line will indicate a increasing or decreasing point of the function

also beware where the slope is zero  it is not increasing or decreasing

there are two intervals of increasing, one interval of decreasing and two point of zero slope or neither increasing or decreasing

increasing interval  1)  x < -2     2) x > 1.5

decreasing interval   1)     -2 <  x < 1.5

at -2 and 1.5 the slope is zero

If the slope of a function is positive at all the points of the curve in a interval, function will be increasing.

f'(x) > 0

If the slope of a function is negative at all the points of the curve in a interval,

function will be decreasing.

f'(x) < 0

As we can see from the graph slope of the curve is positive in the intervals (-∞, -2) and (1.5, ∞) and decreasing in the interval (-2, 1.5).

Therefore, function is increasing in the intervals → (-∞, -2) and (1.5, ∞).

And the function is decreasing in the interval → (-2, 1.5)

Learn more,

https://brainly.com/question/16951566

Option A. They led the most powerful of the Allied countries.

Answer:

depends on the size of the house

let's say the house is 10 square meter then you would need 5 gallons

let's the house is 60 square meter then you would need 30 gallons

Step-by-step explanation:

whatever the square meter just divide it with 2 and that should be your answer

Answer:

The right answer is:

(a) 0.205

(b) 0.005425

Step-by-step explanation:

The given data is:

0.213, 0.204, 0.208, 0.200, and 0.198

(a)

The mean will be:

= [tex]\frac{Sum \ of \ all \ data}{No. \ of \ data}[/tex]

= [tex]\frac{0.213+ 0.204+ 0.208+ 0.200+0.198}{5}[/tex]

= [tex]\frac{1.023}{5}[/tex]

= [tex]0.2046[/tex]

or,

= [tex]0.205[/tex]

(b)

The standard deviation will be:

[tex]\sigma^2=\Sigma\frac{(x_i-\mu)^2}{N}[/tex]

    [tex]=\frac{(0.213-0.2046)^2+...+(0.198-0.2046)^2}{5}[/tex]

    [tex]=\frac{0.0001472}{5}[/tex]

    [tex]=2.994\times 10^{-5}[/tex]

or,

    [tex]=0.005425[/tex]