Suppose that 60\%60%60, percent of adults in district A support a new ballot measure, while 45\%45%45, percent of adults in district B support the same measure. Pollsters take an SRS of 200200200 adults from district A and a separate SRS of 100100100 adults from district B to see the difference between the sample proportions (\hat{p}_\text{A}-\hat{p}_\text{B})( p ^ ​ A ​ − p ^ ​ B ​ )left parenthesis, p, with, hat, on top, start subscript, start text, A, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, B, end text, end subscript, right parenthesis. What will be the shape of the sampling distribution of \hat{p}_\text{A}-\hat{p}_\text{B} p ^ ​ A ​ − p ^ ​ B ​ p, with, hat, on top, start subscript, start text, A, end text, end subscript, minus, p, with, hat, on top, start subscript, start text, B, end text, end subscript, and why?

Answer:

This transformation is known as a vertical stretch. This is the graph of a transformation of \begin{align*}y=x^2\end{align*}. The points are plotted from the vertex as right and left one and down one-half, right and left 2 and down two, right and left three and down four and one-half

Answer:

Given x = 2 and y =4

so 16[tex]x^{0}[/tex]+2[tex]x^{2}[/tex][tex]y^{-1}[/tex]

= 16*[tex]2^{0}[/tex] + 2*[tex]2^{2}[/tex]*[tex]4^{-1}[/tex]

= 16 + (2*4)/4

=16 + 8/2

16 + 2

=18

Step-by-step explanation:

Literally, binomial probability represents an experiment which has two possible outcomes.

The values of the parameters​ n, p, and x are 25, 50% and 16 respectively

The representations in binomial probability are:

From the complete question, we have:

The above highlights mean that:

[tex]\mathbf{n = 25}[/tex]

[tex]\mathbf{x = 16}[/tex]

[tex]\mathbf{p =50\%}[/tex]

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Step-by-step explanation:

since both points are on the same horizontal line (same y coordinate), we can save the detour via the Pythagoras approach. we only need to look at the difference of the x coordinates to get the distance :

10.8 - -15.6 = 10.8 + 15.6 = 26.4

Answer:

Step-by-step explanation:

See the steps below:

First Method: (By splitting the middle term)

We have to find p and q such that p+q = 20 and

pq = 3×(-7) = -21

Let us looks for the pair of factors of -21 such that their sum is 20 and product is -21.

20 = 21 - 1 and -21 = 3(-7)

∴ 3x² + 20x - 7 = 3x² + 21x - 1x - 7

= 3x(x + 7) -1(x + 7)

= (x + 7)(3x - 1)

Second method: (Using the factor theorem)

Answer:

y=7

y will equal to 7 when x is 2.5

Step-by-step explanation:

[tex]3(4 - 2x) = - x + 1 \\ 12 - 6x = - x + 1 \\ 12 - 1 =6x - x \\ 11 = 5x \\ \frac{11}{5} = x \\ 2 \frac{1}{5} = x \\ [/tex]

The solution of the equation is x = 11/5

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The given equation is,

3 (4 - 2x) = -x + 1

We have to solve the equation.

Distributive property states that, for three numbers, a, b and c,

a(b + c) = ab + ac

So, 3 (4 - 2x) = (3 × 4) - (3 × 2x)

                     = 12 - 6x

Substituting,

3 (4 - 2x) = -x + 1

12 - 6x = -x + 1

-6x + x = 1 - 12

-5x = -11

x = 11/5

Hence the solution is x = 11/5.

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Answer:

152

Step-by-step explanation:

46+56=102

102+3=105

105+17+130=152

Answer:

well, i guess ill tell you the way i did it. i rented a storage space, rented my apartment and bought all of my furniture before moving out of my parents house so i was totally ready to move out. then, when the day came to move out, i planned the entire day beforehand, planned where my furniture would go and did all the planning before actually leaving. anything else you wanna know? ill answer any questions

Step-by-step explanation:

Answer:

L = (18r - 12)/W

Step-by-step explanation:

A = L * W

18r - 12 = L * W

(18r - 12) = L * W

(18r - 12)/W = L

Answer:

-1/4

Step-by-step explanation:

Use the slope formula

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-8-(-5)}{0-(-12)}[/tex]

Which equals -1/4

Answer:

2/3

Step-by-step explanation:

The probability that it will rain on wednesday will be 0.75.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -  

P(A) = n(A)/n(S)

where -

n(A) = Number of outcomes favorable to event A.

n(S) = Total number of outcomes.

We have a meteorologist who says that there is a 50% greater chance of rain than no rain on Wednesday.

Assume that the probability that it will rain on wednesday be [x]. Now, we can write -

P[R] = P[N.R.] + 1/2

P[R] + P[R] = P[N.R.] + P[R] + 1/2

2 P[R] = 1 + 1/2

2 P[R] = 1.5

P[R] = 1.5/2

P[R] = 0.75

Therefore, the probability that it will rain on wednesday will be 0.75.

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Answer:

43/30

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

-12+x=8

Add 12 on both sides (-12 + 12 + x = 8 + 12)

which crosses out -12

and then you get x=20

Answer:

it is a dependant event without placement

Step-by-step explanation:

you dont replace the marble so it is dependant. and without replacement is when you dont put it back in the bag

Answer:

9000

Step-by-step explanation:

There are 4 numbers (any number from 0-9) in a 4-digit number and the starting number should be 1 or bigger than 1. The thousands place in a 4-digit number cannot be 0. The smallest 4 digit number is 1000 and the greatest 4 digit number is 9999. There are 9000 four-digit numbers in all

Answer:

Step-by-step explanation:

Given points:

Use slope formula:

[tex]\\ \sf\longmapsto Slope=m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{-2+3}{-5+3}[/tex]

[tex]\\ \sf\longmapsto m=\dfrac{1}{-2}[/tex]

The value of x in the equation [tex]\frac{x}{2} = \frac{x^2}{x - 2}[/tex] are x = 0 and x = -2

The expression is given as:

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

Cross multiply

[tex]x(x - 2) =2 * x^2[/tex]

Open the bracket

[tex]x^2 - 2x =2x^2[/tex]

Collect like terms

[tex]- 2x =2x^2 - x^2[/tex]

Evaluate the like terms

[tex]- 2x =x^2[/tex]

Rewrite as:

[tex]x^2 + 2x =0[/tex]

Factor out x

x(x + 2)  =0

Expand

x = 0 or x + 2 = 0

Solve for x

x = 0 or x = -2

Hence, the value of x are x = 0 and x = -2

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Answer:

n is -9.5 ....hyuibgtyujhff

Answer:

PLS MARK BRAINLIEST

Step-by-step explanation:

m= y2 - y1/ x2 - x1( slope of a line)

m = 8 -0 / 7- 0

8/7 = m

m = 1.1

since m =y - y1/ x - x1

1.1 = y - 0/ x-0

1.1 = y/x(cross multiply)

y = 1.1 x

y -1.1 x = 0

or

y - 8/7 x = 0

Answer:

x^2 - 4/5x - 3/5 = 0

Step-by-step explanation:

5x^2/5 - 4x/5 - 3/5 = 0/5

x^2 - 4/5x - 3/5 = 0

[tex]\\ \sf\longmapsto \dfrac{5x^2-4x-3=0}{5}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5x^2}{5}-\dfrac{4x}{5}-\dfrac{3}{5}=\dfrac{0}{5}[/tex]

[tex]\\ \sf\longmapsto x^2-\dfrac{4}{5}x-\dfrac{3}{5}=0[/tex]

We are done!

Answer:

Step-by-step explanation:

If you want to give brainliest, you have to wait for two answers then pick the best answer to get brainliest by clicking the little crown icon on the bottom right.

If you want to get brainliest, try to give a really good answer to a question and if the person asking thinks you gave the best answer,you will receive brainliest.

Answer:

Questions are marked brainliest by whoever asked the question. That person chooses which answer they received is the most helpful/correct, and then awards that answer with the brainliest crown.

Step-by-step explanation:

Answer:

Step-by-step explanation:

ratio of blue marbles to white marbles = 4:5

15/5=3

4x3:5x3

ratio if there are 15 white marbles= 12:15

denoting that 12 blue marbles would be there

Answer:

1.) x = -5

   y = -4

Point to graph: (-5, -4)

2.) x = 0

    y = -6

Point to graph: (0, -6)

3.) x = 5

    y = 8

Point to graph: (5, 8)

Step-by-step explanation:

Substitute x for the given value, then find y.

1.) -2(-5)-5y = 30

10-5y = 30

-5y = 20

y = -4

2.) -2(0)-5y = 30

-5y = 30

y = -6

3.) -2(5)-5y = 30

-10-5y = 30

-5y = 40

y = -8

Answer:

y values are

-4

-6

-8

Step-by-step explanation:

Answer:

30 pages per hour.

Step-by-step explanation:

Okay so they read 1 1/2 pages per hour right. And you need 20/20 to make 1 hour right. So all you have to do is multiply 1 1/2 by 20 and you got your answer.

Answer:

angle 4

Step-by-step explanation:

1 and 4 are vertical angles

∠1 = ∠4

This according to the vertical angle theorem

Hope this helps!!

Answer:

3.1567 * 10^-4 miles

Step-by-step explanation:

1 ft = 1.894 * 10^-4 miles , so

1 inch = 1.894 * 10^-4 / 12  miles

= 0.15783 * 10^-4

= 1.5783* 10^-5 miles  ( in scientific form).

Multiplying this by 20 we get

31.567 * 10^-5

= 3.1567 * 10^-4 miles.