help me please
What is the midpoint of the horizontal line segment graphed below?
A. (4,3)
B. (8,6)
C. (8,3)
D. (4, 6)
-10
10
(-2,3)
$10
(10, 3)
10

Using the binomial distribution, it is found that:

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

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[tex]|\Omega|=15\\|A|=7+4=11\\\\P(A)=\dfrac{11}{15}\approx73.3\%[/tex]

Answer:

RED COUNTER: 7/15

BLUE COUNTER: 4/15

Hope it helps,

for further explanation do contact me

The point which would lie on the graph of f(x) = log2x is; (1, 0.301).

Since it follows from the task content that the given point (–1, 0.5) lies on the graph of f –1(x) = 2x.

The subsequent graph of f(x) = log2x would result from taking logarithms in which case, we have the graph passing through points determined as follows;

f(x) = log2^x

f(x) = x log2

Hence, when x = 1;

f(1) = 1log 2

Hence, we have point; (1, 0.301).

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30 + 110 + 30 + 110 = 280

360-280 = 80

2y = 80

y = 40 degrees

If y is 40. Then the angle next to 30 is also y due to vertically opposite angles.

30 + 40 = 70

The line with 2 arrows is parallel to the line with x degrees. So, I use co-interior angles adds to 180.

In that c shaped, we got the bottom angle to be 70 & the top to be 110 because co-interior angles =180

Forget the c shape exists, and move onto the triangle that's visible. The top angle is 110 as found.

Angles in triangle add to 180.

180 - 110 - 30 = 40.

Thus, x = 40 degrees

There's a short cut I realise now because we can have alternate angles are equal; creating a z shape to find what x is equal to & that turns out to be the same value as y. ( due to vertically opposite angles)

Hope this helps!

Answer: B is dependent and M is independent

Step-by-step explanation:

This is because the question says that they are raising money to buy books. In order to buy the books, they must raise money. So they raise money than buy the books which makes buying the books dependent on how much they raise.

The additional information would you want to know about the survey before you accepted the results of the study will be:

In research of human subjects, a survey is a list of questions aimed for extracting specific data from a particular group of people.

Surveys may be conducted by phone, mail, through the internet or in malls. From the information, a recent survey points to the transformation underway in the automotive retail landscape.

It is important to know the sampling design that was used, the population from which the design was selected and the response rate.

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Reason:

Set A = {0,1,2,3,4,5,6,7,8,9}

Set B = {0,1,2,3,4,5,6,7}

The probability of getting a "2" from set A is 1/10 since there is one copy of "2" that we want out of ten values total.

The probability of getting a "2" from set B is 1/8 for similar reasoning. This time there are eight numbers in this set.

Multiply those fractions mentioned (1/10)*(1/8) = 1/80

This fraction converts to the exact decimal value of 0.0125, meaning there's exactly a 1.25% chance of getting "2" twice in a row.

There are two real roots for the quadratic equation x² - 8 · x + 13 = 0, contained in the number x = 4 ± √2.

In this question we must apply algebraic handling to simplify a quadratic equation and find the roots that satisfy the expression. Completing the square consists in transforming part of the equation into a perfect square trinomial, and then we clear for x:

x² - 8 · x + 13 = 0

x² - 8 · x + 16 = 3

(x - 4)² = 3

x - 4 = ± √2

x = 4 ± √2

There are two real roots for the quadratic equation x² - 8 · x + 13 = 0, contained in the number x = 4 ± √2.

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The equation that represents the situation is 3x + 5  = 23

She is brings 3 markers for each person in her group and 5 extra markers for everyone to share.

She brings in 23 markers in all.

Therefore, the equation that represents this situation is as follows:

lets

x = number of students in the group

Therefore,

3x + 5  = 23

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Answer: A

Step-by-step explanation:

The polynomial has roots at [tex]x=-4, -2, 4[/tex].

So, the equation should have factors of [tex](x+4), (x-2), (x-4)[/tex].

This eliminates everything except for A.

The resulting coordinates for each row are (-2, 2), (0, 4),()2, 6), (6, 10) and (8,12) respectively

Given the linear function expressed as;

y = x + 4

where

x are the input values and y are the output values

If x = -2

y = -2+4

y = 2

The coordinate (x, y) will be (-2, 2)

If x = 0

y = 0+4

y = 4

The coordinate (x, y) will be (0,4)

If x = 2

y = 2+4

y = 6

The coordinate (x, y) will be (2, 6)

If x = 6

y = 6+4

y = 10

The coordinate (x, y) will be (6,10)

If x = 8

y = 8+4

y = 12

The coordinate (x, y) will be (8, 12)

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The width of the cooling tower at the base of the structure is 40 meters.

Given equation

x²/400 -(y-90)²/1600=1

Solving for the width

Cooling tower width =2√400

Cooling tower width=2×20

Cooling tower width=40 meters

Therefore the correct option is D. 40 meters.

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Answer:

40

Step-by-step explanation:

Answer:

sqrt(601)/2 ft

Step-by-step explanation:

The legs of the right triangle are 12 and 2.5. by the Pythagorean Theorem, the length of the ladder is sqrt(12^2 + 2.5^2) = sqrt(150.25). Simplified is sqrt(601)/2 ft.

The length of ladder used is 12.25 ft.

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse .

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

example:

The hypotenuse of a right-angled triangle is 16 units and one of the sides of the triangle is 8 units. Find the measure of the third side using the Pythagoras theorem formula.

Solution:

Given : Hypotenuse = 16 units

Let us consider the given side of a triangle as the perpendicular height = 8 units

On substituting the given dimensions to the Pythagoras theorem formula

Hypotenuse^2 = Base^2 + Height^2

16^2 = B^2 + 8^2

B^2 = 256 - 64

B = √192 = 13.856 units

Therefore, the measure of the third side of a triangle is 13.856 units.

given:

base=  2.5 ft,  

perpendicular= 12 ft

Using Pythagoras theorem,

H² =  B² + P²

H² = 2.5² + 12²

H² = 6.25+ 144

H= 12.25 ft

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Answer:

305.25

Step-by-step explanation:

18.5 for one floor, multiply by 15 to get the amount for 15 floors: 18.5*15 = 277.5 sheets

We need to add 10% for waste, meaning 277.5 plus the waste: 1.1*277.5 = 305.25

The drywaller needs to order 306 core boards for the 15-story elevator shaft, considering the 10% waste.

calculate the number of core boards needed for the 15-story elevator shaft, we can follow these

Calculate the total number of sheets for all floors:

Total sheets = Number of floors × Sheets per floor

Total sheets = 15 floors × 18.5 sheets per floor

Total sheets = 277.5 sheets

Add 10% of the total for waste:

Waste percentage = 10% = 0.10 (in decimal form)

Waste sheets = Total sheets × Waste percentage

Waste sheets = 277.5 sheets × 0.10

Waste sheets = 27.75 sheets

Calculate the final number of boards needed (including waste):

Number of boards = Total sheets + Waste sheets

Number of boards = 277.5 sheets + 27.75 sheets

Number of boards = 305.25 sheets

Since you can't have a fraction of a sheet, we need to round up to the nearest whole number.

Therefore, the drywaller needs to order 306 core boards for the 15-story elevator shaft, considering the 10% waste.

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The mean length of the 6 people's index finger is 11.55

The given parameters are:

The mean is calculated as:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

So, we have:

[tex]\bar x = \frac{3 * 9.9 + 3 * 13.2}{3 + 3}[/tex]

Evaluate

[tex]\bar x = \frac{69.3}{6}[/tex]

Divide

[tex]\bar x = 11.55[/tex]

Hence. the mean length of the 6 people's index finger is 11.55

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The total surface area of the tower composed of a prism with a square base and a pyramid is 3600 + 400√2 m²

Total surface area of the tower = area of the base + 4(area of the rectangular surface) + 4(area of the triangular surface)

Therefore,

area of the base = 20² = 400 m²

4(area of the rectangular surface)  = 4(40 × 20) = 3200 m²

4(area of the triangular surface) = 4(1 / 2 × 10√2 × 20) = 4(100√2) = 400√2 m²

Therefore,

total surface area = 400 + 3200 + 400√2

total surface area = 3600 + 400√2 m²

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Answer:

a)400V2 plus 3,600 m2

Step-by-step explanation:

The total Stockholders’ Equity  is $4,367,000

Common Stock, $50 par $2,400,000

Paid-In Capital in Excess of Par—Common Stock $576,000

Paid-In Capital from Sale of Treasury Stock $48,000

Total paid in capital $3,024,000

Retained Earnings $1,368,000

Less Treasury stock  $25,000

Total Stockholders’ Equity $4,367,000

Therefore the total Stockholders’ Equity  is $4,367,000.

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Answer:

x = -34

Step-by-step explanation:

-3x + 2x -34 = 0

sum the x

-3x + 2x = -x

replace -x in the equation

-x -34 = 0

move -34 to other side

-x = 34

divide the two sides by -1 to get x value

x = -34

now replace x value in the equation:

-3(-34) + 2(-34) -34 =

102 -68 -34 =

102 -102 = 0

Using the interpretation of the confidence interval, the correct option is:

We are 95% confident that those who studied had a higher passing rate than those who did not study.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

The confidence interval of the difference is:

(0.005, 0.125).

Since the entire interval is positive, the correct option is:

We are 95% confident that those who studied had a higher passing rate than those who did not study.

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Answer: D. slides the graph 1 unit right

Step-by-step explanation:

See attached image.

Answer:

1.The center of the circle lies on the x-axis

2.The radius of the circle is 3 units.

3.The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answer:

Your answer is -24.

Step-by-step explanation:

Given information.

The graph of f(x) and g(x)

Solving for

-6 * f(3) - 6 * g(-1) = ?

think of f(x) = y as x is the input and y is the output.

Input a value of x into f(x) or g(x) gets us a y value.

Looking at the graph of f(3) = -2 and the graph of g(-1) = 6

Now substitute that and solve.

-6 * -2 -6 * 6 = 12 - 36 = -24

Answer: -24

Step-by-step explanation:

We should first find the outputs to the functions f and g with inputs 3 and -1 respectively. We can do this by looking at the graph and finding the y value for each desired x value.

Thus, we can see that f(3) = -2 and g(-1) is 6.

We can replace these into the expression to get

[tex]-6*-2-6*6[/tex]

We should first multiply, so we get

[tex]12 -36[/tex]

[tex]-24[/tex]

Hence, the answer is -24.

Answer:

When t = 4

Step-by-step explanation:

The phone will hit the ground when h = 0.

[tex]16t^2 + 32t + 384 =0 \\ \\ t^2 + 2t + 24=0 \\ \\ (t+6)(t-4)=0 \\ \\ t=-6, 4[/tex]

However, as time cannot be negative, we know the answer is when t = 4.

The value of (p*q)(5) and (q*p)(5) is 288

The functions are given as:

p(x)=x+1

q(x)=2x^2-2

Calculate p(5) and q(5)

p(5)=5+1 = 6

q(5)=2(5)^2-2 = 48

The functions are then calculated as:

(p*q)(5) = p(5) * q(5)

(p*q)(5) = 6 * 48

(p*q)(5) = 288

Also, we have:

(q*p)(5) = (p*q)(5)

(q*p)(5) = 288

Hence, the value of (p*q)(5) and (q*p)(5) is 288

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Complete question

Suppose that the functions p and q are defined as follows. p(x)=-x-1 q(x)=-2x^2-2 Find the following. (p*q)(5) (q*p)(5)

Answer:

$.56

Step-by-step explanation:

To find the cost of one pen, take the total cost and divide by the number of pens

$1.68/ 3

$.56 per pen

Answer: [tex]f^{-1}(x)=\frac{x-3}{3}[/tex]

Step-by-step explanation:

Let [tex]f(y)=x[/tex]

[tex]x=3y+3\\\\x-3=3y\\\\y=\frac{x-3}{3}\\\\\therefore f^{-1}(x)=\frac{x-3}{3}[/tex]

Answer:

x=3,y=1

Step-by-step explanation:

2^x+y=16,3^x-y=9

16=2^4,9=3^2

x+y=4,x-y=2 add both

2x=6,x=3

3-y=2,y=1

The difference in the cost per ounce is $0.05 per ounce

Fractions are written as the ratio of two integers

If a 12-ounce jar of jam costs $2.40, the cost per ounce will be:

Unit cost = 2.40/12

Unit cost = $0.2

Similarly, if a 16-ounce jar costs $4.00, the price of a ounce will be:

Unit cost = 4/16

Unit cost. =$0.25

difference = $0.25 - $0.2

difference = $0.05

Hence the difference in the cost per ounce is $0.05 per ounce

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Answer:

Step-by-step explanation:

This is classic right triangle trig, cos specifically. Our reference angle is the one marked 26°, the hypotenuse is given as 12, and the side adjacent to the reference angle is our unknown. This is the cosine ratio. Setting up to solve for x:

[tex]cos26=\frac{x}{12}[/tex] and

12cos(26) = x  Plug this into your calculator in degree mode to get that

x = 10.8