Suppose you have an experiment where you flip a coin three times. You then count the number of heads. a.) State the random variable. b.) Write the probability distribution for the number of heads. c.) Draw a histogram for the number of heads. d.) Find the mean number of heads. e.) Find the variance for the number of heads. f.) Find the standard deviation for the number of heads. g.) Find the probability of having two or more number of heads. h.) Is it unusual to flip two heads

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: 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

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▹ Answer

n⁸

▹ Step-by-Step Explanation

n⁶ * n⁵ ÷ n⁴ * n³ ÷ n² * n

n⁶ * n⁵ * n⁻⁴ * n³ ÷ n²

n⁶ ⁺ ⁵ ⁻ ⁴ ⁺ ³ ⁻ ²

n⁸

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer:

2^9

Step-by-step explanation:

The other answer says n^8 I believe? Tried this and the answer ended up being n^9.

Answer:

7/2

Step-by-step explanation:

notice that if you substitute x by five you get 0/0 wich a non-defined form

The trick is to simplify by x-5

Hey there! :)

Answer:

[tex]\lim_{x \to 5} = 7/2[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\frac{x^{2}-3x-10 }{2x-10}[/tex]

Factor the numerator and denominator:

[tex]\frac{(x - 5)(x+2) }{2(x-5)}[/tex]

'x - 5' is on both the numerator and denominator, so it gets cancelled out and becomes a "hole".

This means that at x = 5, there is a hole. There is a limit at x ⇒ 5. Find the hole by plugging 5 into the simplified equation:

[tex]\frac{((5)+2) }{2}[/tex] = 7/2

Therefore:

[tex]\lim_{x \to 5} = 7/2[/tex]

Division is one of the four fundamental arithmetic operations. The amount of money the school needs to spend on computers is $95,522.32.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

The number of students in a class is 24, while the number of classes is 17. Therefore, the number of students in the classes should be,

[tex]\text{Total number of students} = 24 \times 17 = 408[/tex]

Now, since, there should be a computer for every 3 students, therefore, the number of computers that will be needed are,

[tex]\text{Number of computer} = \dfrac{\text{Number of students}}{3} = \dfrac{408}{3} = 136[/tex]

The cost of a single computer is $702.37, therefore, the cost of 136 computers will be,

[tex]\rm Total\ cost= (\text{Cost of a single computer}) \times 136\\\\ Total\ cost= (\$702.37) \times 136\\\\ Total\ cost= \$95,522.32[/tex]

Hence, the amount of money the school needs to spend on computers is $95,522.32.

Learn more about Division:

https://brainly.com/question/369266

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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:

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

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Answer:

f(-1) = -8

f(1) =  -12

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:

a) P(X>825)

b) This low value of probability of the sample outcome (as 825 voters actually did vote) suggests that the 60% proportion may not be the true population proportion of eligible voters that actually did vote.

Step-by-step explanation:

We know a priori that 60% of the eligible voters did vote.

From this proportion and a sample size n=1309, we can construct a normal distribution probabilty, that is the approximation of the binomial distribution for large samples.

Its mean and standard deviation are:

[tex]\mu=n\cdot p=1309\cdot 0.6=785.4\\\\\sigma =\sqrt{np(1-p)}=\sqrt{1309\cdot 0.6\cdot 0.4}=\sqrt{314.16}=17.7[/tex]

Now, we have to calculate the probabilty that, in the sample of 1309 voters, at least 825 actually did vote. This is P(X>825).

This can be calculated using the z-score for X=825 for the sampling distribution we calculated prerviously:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{825-785.4}{17.7}=\dfrac{39.6}{17.7}=2.24\\\\\\P(X>825)=P(z>2.24)=0.0126[/tex]

This low value of probability of the sample outcome (as 825 voters actually did vote) suggests that the 60% proportion may not be the true population proportion of eligible voters that actually did vote.

Answer:

Forecast demand for period 7 is 290.

Step-by-step explanation:

The given number of period = 6

Since it is given that in period 1, the demand is 200 and at period 6 the demand is 300. However, to find the forecast demand for period 7, just add the demand of period 1 and period 6, then divide by 2.  

Here, the following is the calculation.

Forecast demand for period 7 = (280 + 300) / 2

                                                  = 290

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

Answer:

The answer is option B.

Hope this helps you

Answer:

The answer is B

Step-by-step explanation:

Answer:

Option A

5 years: $53,750

10 years: $57,500

20 years: $65,000

Option B

5 years: $53,599

10 years: $57,458

20 years: $66,028

Answer:

the corrects answers

Option A

5 years: $53,750

10 years: $57,500

20 years: $65,000

Option B

5 years: $53,599

10 years: $57,458

20 years: $66,028

Work Shown:

A = area of circle

A = pi*r^2

A = pi*24^2 ... plug in given radius r = 24

A = pi*576

A = 576pi .... exact area in terms of pi

A = 576*3.14 .... replace pi with its approximation

A = 1808.64

A = 1809 ..... rounding to nearest square inch

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:

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:

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:

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 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

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

Slope: -7/3

y-intercept: 2

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- Eli

Answer:

Correct answers are:

g(x) has the maximum greatest value.

h(x) has a a range of all negative numbers.

Step-by-step explanation:

Let us learn about the domain and range of a function first.

Domain of a function is the input that we give to the function for which there is a valid output.

For example, let us consider a function:

[tex]y=F(x) = x^2[/tex]

So, the value of 'x' that we provide to the function is known as the domain of function.

Range of a function is the output value when any input is given to the function.

For example,

[tex]y=F(x) = x^2[/tex]

Let us put x = 4, which will be in the domain of function.

the output will be y = 16 which will be in the range of the function.

Now, let us consider the given functions f(x), g(x) and h(x).

Domain of f(x) i.e. the value of x for which the output is defined is:

{-2, -1, 1, 2}

Range of f(x) = [tex]\{4, 4\frac{1}2, 5\frac{1}2, 6\}[/tex]

Max value of f(x) = 6

Domain of g(x) i.e. the value of x for which the output is defined is:

{-2, -1, 1, 2}

Range of g(x) = [tex]\{6, 6\frac{1}2, 7\frac{1}2, 8\}[/tex]

Max value of g(x) = 8

Domain of h(x) i.e. the value of x for which the output is defined is:

{-2, -1, 1}

Range of h(x) = [tex]\{-3, -2\frac{1}2, -1\frac{1}2\}[/tex]

Max value of h(x) = [tex]-1\frac{1}2[/tex]

For x = 2, the value of h(x) is not given i.e. it is not defined at x = 2, so it is not in the domain. So, domain of all the three functions is not same.

So, the correct options are:

g(x) has the maximum greatest value.

h(x) has a a range of all negative numbers.

Answer:

B,D

Step-by-step explanation:

Edge 2020 100%

Answer:

Standard Deviation = 5.928

Step-by-step explanation:

a) Data:

Days  Hours spent  (Mean - Hour)²

1              5                61.356

2             7                34.024

3            11                  3.360

4           14                   1.362

5           18               26.698

6          22               84.034

6 days 77 hours,    210.834

mean

77/6 = 12.833    and 210.83/6 =  35.139

Therefore, the square root of 35.139 = 5.928

b) The standard deviation of 5.928 shows how the hours students spend outside of class on class work varies from the mean of the total hours they spend outside of class on class work.

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:

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:

first number: 9 second number: 63

Step-by-step explanation

lets make a ratio!

since one number is 7 times less than the other, the ratio would be: 1:7.

now to find the answer, you'd have to do 1+7 divided by 72. so basically

x=72/8

then solving that should be simple!

x=9

so 7x would be 63.