What is the area of the sector shown in the diagram below?

Answer:

Step-by-step explanation:

Rewrite the function f(x) = 8√x as y = 8√x.

To find the inverse function, do the following:

1) Interchange x and y.  We get x = 8√y

                                                                             x                        x^2

2) Solve this result for y:  (x/8) = √y  =>  y = ( -------- )^2, or y = ---------

                                                                             8                        64

Answer:

The rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.

Step-by-step explanation:

Flying against the wind, the speed of the airplane is 750 miles per hour (3000/4), while flying with a downwind, its speed is 1500 miles per hour (7500/6). Therefore, the difference between the two speeds is 750 miles per hour, so since the distance traveled is the same, the midpoint between the two speeds is 375 miles per hour. Then, without wind, the plane would travel the same distances at a speed of 1125 miles per hour.

In conclusion, the rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.

Answer:

The answer is option B.

Hope this helps you

Answer:

The answer is B

Step-by-step explanation:

Answer:

q = -6

Step-by-step explanation:

given:

9q + (–23) = –77      (add 23 to both sides)

9q = -77 + 23

9q = -54   (divide both sides by 9)

q = (-54)/9

q = -6

Answer:

57

Step-by-step explanation:

Area of rectangle:

4 x 12

=48

Area of left triangle:

2 x 3 / 2

=3

Area of right triangle:

6 x 2 / 2

=6

Total Area:

48 + 3 + 6 = 57

Answer: 100

Step-by-step explanation: 4 * 12 = 48     6 * 2 / 0.5 = 24    3 * 2 / 0.5 = 12

48+24+12=84 84 to the nearest hundred is 100.

Answer:

26 - 7(n-1)

Step-by-step explanation:

subtract n times 7 from the start value.

But if we want to call the first term n=1, we have to subtract 1 from n.

Answer:

C)

Step-by-step explanation:

The whole number goes on the inside of the radical and is raised to the 5 power. The 4 is on the outside.

:)

Answer:

C. x < 25 and x ≥ 0

Step-by-step explanation:

Fastest and easiest way to do this is to graph the inequality and find out the lines.

Answer:

equation= s+26=42

to solve,subtract 26 from both sides

Step-by-step explanation:

lets say the number is S

to increase is to add

S+26=42

solution

S+26(-26)=42-26

S=16

Answer:

Explanation: Correct on Edg 2020.

Answer:

a) 8.23% probability that a piece of pottery will be finished within 95 minutes

b) 0.28% probability that it will take longer than 110 minutes.

Step-by-step explanation:

Normal distribution:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Two variables:

Means [tex]\mu_{a}, \mu_{b}[/tex]

Standard deviations [tex]\sigma_{a}, \sigma_{b}[/tex]

Sum:

[tex]\mu = \mu_{a} + \mu_{b}[/tex]

[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}}[/tex]

In this question:

[tex]\mu_{a} = 40, \mu_{b} = 60, \sigma_{a} = 2, \sigma_{b} = 3[/tex]

So

[tex]\mu = \mu_{a} + \mu_{b} = 40 + 60 = 100[/tex]

[tex]\sigma = \sqrt{\sigma_{a}^{2} + \sigma_{b}^{2}} = \sqrt{4 + 9} = 3.61[/tex]

A) What is the probability that a piece of pottery will befinished within 95 minutes?

This is the pvalue of Z when X = 95.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{95 - 100}{3.61}[/tex]

[tex]Z = -1.39[/tex]

[tex]Z = -1.39[/tex] has a pvalue of 0.0823

8.23% probability that a piece of pottery will befinished within 95 minutes.

B) What is the probability that it will take longer than 110 minutes?

This is 1 subtracted by the pvalue of Z when X = 110.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 100}{3.61}[/tex]

[tex]Z = 2.77[/tex]

[tex]Z = 2.77[/tex] has a pvalue of 0.9972

1 - 0.9972 = 0.0028

0.28% probability that it will take longer than 110 minutes.

Answer:

76%

Step-by-step explanation:

First, we need to see how many total squares (parts) there are. There are 50.

Now, we need to see how many parts are shaded. So, 13 plus 25 will give us 38.

Our fraction is 38/50, which is 76%.

Hope this helped!

Answer: 76 percent

Step-by-step explanation:

We have two squares divided into exactly 25 indentical parts

In the first one 25 squares are shaded wich means 25/25

The second one we only 13 shaded square wich means 13/25

So in total we have 50 squares with 38 shaded ones

Wich means 38/50

38/50= 0.76

Multiply bu 100 to get the percentage wich 76 percent

Answer:

12.5

Step-by-step explanation:

to find the length of one side of the hexagon, draw diagonal lines, which will be six diagonals, this will divide the hexagon into, 6 equilateral triangles. The diagonals are equal in length to the side of the square (25 cm.) and the sides of the equilateral triangles are just half of this (12.5 cm.)

25/2=12.5

Answer:

x = 36

Step-by-step explanation:

x/3 - 14 = -2

x - 42 = -6

x = -6 + 42

x = 36

Hope this helps! :)

Answer:

x= 36

Step-by-step explanation:

X/3 - 14 = -2

Add 14 to each side

X/3 - 14+14 = -2+14

x/3 = 12

Multiply each side by 3

x/3 * 3 = 12*3

x = 36

Answer:

f(-1) = -8

f(1) =  -12

Answer:

Mean: 8.28

Standard deviation: 2.84

Step-by-step explanation:

This random variable "number of Billy Ripken error cards found" can be described by the binomial distribution, with sample size n=360 (number of packs) and probability of success p=0.023 (probabillity of a pack containing the coveted Billy Ripken error card).

Then, the mean and standard deviation are calculate as for the binomial distribution:

[tex]\mu=np=360\cdot 0.023=8.28\\\\\sigma=\sqrt{np(1-p)}=\sqrt{360\cdot 0.023\cdot 0.977}=\sqrt{8.08956}\approx2.84[/tex]

Answer:

304 miles

Step-by-step explanation:

Distance = rate times time

changing 4 hours 45 minutes to decimal form

4 45/60 = 4.75

D = 64 mph * 4.75

   =304 miles

Answer:

0.9^10

Step-by-step explanation:

The probability to make an error in 1 question =0.1 => The probability that this one particular question will be answered correctly is P=1-0.1=0.9

There are 10 questions  that are independent from each other .

The probability to be answered correctly is 0.9  each.  So the probability to answer correctly to all of them is

P(10quest=correct) =0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9*0.9=0.9^10

Graph the line using the slope and y-intercept, or two points.

Slope: -7/3

y-intercept: 2

Please mark me as brainliest if possible. Stay safe and God bless you!!

<3

- Eli

Answer:

4    -6

Step-by-step explanation:

have a great day!

Multiply the first equation by 2/3 and the second equation by -1.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

3x - (1/4)y = 15

(2/3)x - (1/6)y = 6

Multiply the equation 1 by 2/3, then we have

(2/3) · 3x - (2/3) · (1/4)y = (2/3) · 15

x - (1/6)y = 10

Multiply the equation 2 by -1, then we have

(-1) · (2/3)x - (-1) · (1/6)y = (-1) · 6

- (2/3) x + (1/6)y = - 6

Multiply the first equation by 2/3 and the second equation by -1.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ3

Answer:

7 seconds

Step-by-step explanation:

Given the height equation of the motion;

s = -16t^2 + 256t

At s = 1008 ft

The equation becomes;

1008 = -16t^2 + 256t

16t^2 - 256t + 1008 = 0

Solving the quadratic equation for t;

Factorising, we have;

16(t-7)(t-9) = 0

t = 7 or t = 9

When the ball is going up it would reach the given height at time t = 7 seconds.

When it is coming down it would reach the given height at time t = 9 seconds.

Answer:

The average number of customers in a line = 2.25

Step-by-step explanation:

We are given;

Mean arrival rate;a = 15 customers per hour

Mean service rate;s = 20 customers per hour

Now, we want to find the average number of customers in the line. It is given by the formula;

N_q = a(W_q) = a²/(s(s - a)

Plugging in relevant values, we have;

N_q = 15²/(20(20 - 15))

N_q = 225/100

N_q = 2.25

Answer:

44

Step-by-step explanation:

We can solve the equation by simplifying it.

[tex]$\sqrt{5+n}=7$[/tex], let's square both sides.

[tex]5+n = 49[/tex]. Now lets subtract 5 from both sides.

[tex]n = 44[/tex].

Hope this helped!

Answer:

  44

Step-by-step explanation:

  [tex]\sqrt{5+n}=7\\\\5+n=7^2=49\\\\n=49-5\\\\\boxed{n=44}[/tex]

Complete Question

Express the confidence interval 0.555 less than p less than  0.777 in the form Modifying above p with caret plus or minus Upper E.

Answer:

The modified representation is [tex]\r p \pm E = 0.666 \pm 0.111[/tex]

Step-by-step explanation:

From the question we are told that

    The  confidence interval interval is  [tex]0.555 < p < 0.777[/tex]

Now looking at the values that make up  the up confidence interval we see that this is a symmetric  confidence interval(This because the interval covers 95%  of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail  as shown on the figure in the first uploaded image(reference - Yale University ) ) which means

     Now  since the confidence interval is  symmetric , we can obtain the sample proportion as follows

             [tex]\r p = \frac{0.555 + 0.777}{2}[/tex]

            [tex]\r p =0.666[/tex]

Generally the margin of error is mathematically represented as

            [tex]E = \frac{1}{2} * K[/tex]

Where  K is the length of the confidence interval which iis mathematically represented as

           [tex]K = 0.777 -0.555[/tex]

         [tex]K = 0.222[/tex]

Hence  

          [tex]ME = \frac{1}{2} * 0.222[/tex]

           [tex]ME = 0.111[/tex]

So the confidence interval can now be represented as

        [tex]\r p \pm E = 0.666 \pm 0.111[/tex]

Answer:

[tex]Probability = \frac{3\\}{14}[/tex]

Step-by-step explanation:

Given

Republicans = 10

Democrats = 6

Total = Republicans + Democrats = 10 + 6 = 16

Selection = 3

Required

Probability that all selected members are Republicans

This implies that all selected members are republicans and none are republicans

This is calculated by (Number of ways of selecting 3 republicans * Number of ways of selecting 0 Democrats) / (Total number of possible selections)

First; the number of ways the 3 republicans from 10 can be selected needs to be calculated;

[tex]^{10}C_3 = \frac{10!}{(10-3)!3!}[/tex]

[tex]^{10}C_3 = \frac{10!}{7!3!}[/tex]

[tex]^{10}C_3 = \frac{10*9*8*7!}{3!7!}[/tex]

Divide numerator and denominator by 7!

[tex]^{10}C_3 = \frac{10*9*8}{3*2*1}[/tex]

[tex]^{10}C_3 = \frac{720}{6}[/tex]

[tex]^{10}C_3 = 120[/tex]

Next, the number of ways that 0 republicans can be selected from 6 will be calculated

[tex]^6C_0 = \frac{6!}{(6-0)!0!}[/tex]

[tex]^6C_0 = \frac{6!}{6!0!}[/tex]

[tex]^6C_0 = 1[/tex]

Next, the total number of possible selection will be calculated; In other words number of ways of selecting 3 politicians fro a group of 16

[tex]^{16}C_3 = \frac{16!}{(16-3)!3!}[/tex]

[tex]^{16}C_3 = \frac{16!}{13!3!}[/tex]

[tex]^{16}C_3 = \frac{16*15*14*13!}{13!3!}[/tex]

[tex]^{16}C_3 = \frac{16*15*14}{3!}[/tex]

[tex]^{16}C_3 = \frac{16*15*14}{3*2*1}[/tex]

[tex]^{16}C_3 = \frac{3360}{6}[/tex]

[tex]^{16}C_3 = 560[/tex]

Lastly, the probability is calculated as follows;

[tex]Probability = \frac{^{10}C_3\ *\ ^6C_0}{^{16}C_3}[/tex]

[tex]Probability = \frac{120\ *\ 1}{560}[/tex]

[tex]Probability = \frac{120\\}{560}[/tex]

Simplify fraction to lowest term

[tex]Probability = \frac{3\\}{14}[/tex]

Answer: y=x+2

Step-by-step explanation:

The slope-intercept equation is y=mx+b. The m is slope, and the b is the y-intercept. Since we are given the slope, we can fill it into m. We also know  that the y-intercept is on the y-axis, meaning the x-coordinate is 0. The point we were given is (0,2). This means the y-intercept is 2. Our equation is y=x+2.

Answer:

y=x+2

Step-by-step explanation:

Slope intercept form is:

y=mx+b

where m is the slope and b is the y-intercept.

We know that this line has a slope of 1. Therefore, we can substitute 1 in for m.

y=1x+b

1x is equal to just x, so change 1x to x.

y=x+b

Now we must find the y-intercept, or b.

Y-intercepts are where the line crosses the y axis. The x-coordinate is always a 0.

Therefore, (0,y) is the coordinates of a y-intercept, and the "y" is the y-intercept.

We are given the point:

(0,2)

Since the x-coordinate is a 0, the y-intercept is 2. Substitute 2 in for b.

y=x+b

y=x+2

The equation of the line is y=x+2

Answer:

39 inches

Step-by-step explanation:

sqrt(15^2 + 36^2) = 39