A group conducted a poll of 2022


likely voters just prior to an election. The results of the survey indicated that candidate A would receive 49

​%

of the popular vote and candidate B would receive 46

​%

of the popular vote. The margin of error was reported to be 5

​%.

The group reported that the race was too close to call. Use the concept of a confidence interval to explain what this means.

Answer:

D) all American adults

Step-by-step explanation:

The 1496 respondents are the sample of the survey that was used to represent the population of interest, which is the total population from which the sample was drawn and the population from which the researchers want to find conclusions.

Looking at the alternatives, the only one that fits the description is alternative D) all American adults .

Answer:

63.4°

Step-by-step explanation:

y = 2x - 1

dy/dx = 2

∴ The angle is arc tan(2) = tan^-1(2) = 63.4°

Answer:

-6x

Step-by-step explanation:

you can combine numbers with the same coefficient like any other number

Answer:

-6x

Step-by-step explanation:

It would be doing the same thing as -9 + 3, but without a variable.  

Answer:

-7 is no, -2 is no, 7 is no, and 10 is yes

Step-by-step explanation:

-5+9*(-7)>58

-5+-63>58

-68>58

-5+9*(-2)>58

-5+-18>58

-23>58

-5+9*(7)>58

-5+63>58

58>58

-5+9*(10)>58

-5+90>58

85>58

so the only one that is a solution is v=10, hope this helps

Answer: No, No, No, Yes

Step-by-step explanation:

Solve the equation for "v":

-5 + 9v > 58

      9v > 63

        v > 7

Check the options to see if they make a true statement:

-7 > 7    False

-2 > 7    False

7 > 7     False

10 > 7   TRUE!

Answer:

a)19²=361

b)14²=196

c)3²=9

d)60²=3600

e)105²=11025

Step-by-step explanation:

I I don't know if this is correct sorry.

Answer:

u = [tex]\sqrt{6}[/tex].

Step-by-step explanation:

This is a 45-45-90 triangle.

That means that there are two side lengths with lengths of x, and a hypotenuse with a length of xsqrt(2). We can then set up a proportion.

[tex]\frac{1}{\sqrt{3} } =\frac{\sqrt{2} }{u}[/tex]

1 * u = [tex]\sqrt{3} * \sqrt{2}[/tex]

u = [tex]\sqrt{6}[/tex].

Hope this helps!

The pyramid consists of 4 congruent triangular faces, and 1 square base.

Area of 1 triangular face:

1/2 * (5 in)/2 * (5.6 in) = 7 in^2

Area of base:

(5 in)^2 = 25 in^2

Then the total surface area is

4 * (7 in^2) + 25 in^2 = (28 + 25) in^2 = 53 in^2

Answer:

The last graph is the correct answer

Step-by-step explanation:

Here, we are interested in picking the correct graph that best answers the question.

Before we pick any of the graphs as our answer, it will be appropriate to solve the inequality.

-4h + 42 <34

-4h < 34-42

-4h < -8

Now divide both side by -4; kindly note that when dividing an inequality by a negative number, the sign will change

h > -8/-4

h > 2

So which of the graph best showcases this?

The correct answer is the last graph

The distribution for town A is positively skewed, but the distribution for town B is symmetric.

============================================================

Explanation:

The length of the whiskers tell us if we're dealing with a symmetric distribution, or a skewed distribution. For town A, the right whisker is longer than the left whisker. So this distribution is positively skewed. We can say it is skewed to the right, or right skewed.

Town B has whiskers of equal length. In addition, the two distances inside the box are equal to one another. We have a perfectly symmetric distribution. One half is a mirror copy of the other half.

Answer:

Hey there!

This is a box and whisker plot, and since the right whisker is longer, this is positively skewed. (For town A)

This is also a box and whisker plot, and since it is even on both sides, it is symmetric.

Hope this helps :)

Hey there! :)

Answer:

x = -5.

Step-by-step explanation:

Solving for x from the equation:

[tex]\frac{2}{3}x - \frac{1}{2} = \frac{1}{3} +\frac{5}{6}x[/tex]

Begin by creating a common denominator for the terms involving x as well as the constants:

[tex]\frac{4}{6}x - \frac{3}{6} = \frac{2}{6} +\frac{5}{6}x[/tex]

Now that each term has a common denominator, we can begin solving for x by isolating the variable:

Subtract 5/6x from both sides:

[tex]\frac{4}{6}x-\frac{5}{6}x - \frac{3}{6} = \frac{2}{6}[/tex]

[tex]-\frac{1}{6}x - \frac{3}{6} = \frac{2}{6}[/tex]

Add 3/6 to both sides:

[tex]-\frac{1}{6}x = \frac{5}{6}[/tex]

Divide -1/6 from both sides. (Multiply by the reciprocal, or -6)

[tex]-\frac{1}{6}x(-6) = \frac{5}{6}(-6)[/tex]

x = -5.

Answer:

4a - 40 = 1

Step-by-step explanation:

4/5 a - 8 = 1/5

Multiply each side by 5 to clear the fractions

5(4/5 a - 8) = 1/5 *5

distribute

4a - 40 = 1

Answer:

70° and 110°

Step-by-step explanation:

If two angles forms a linear pair, this means that the sum of the angles is 180°. If the measure of one angle is x and the measure of the other angle is 1.4 times x plus 12∘

Let A be the first angle = x°

Let B be the second angle = (1.4x+12)°

Since they form a linear pair, then

A+B = 180°

x + 1.4x+12 = 180°

2.4x = 180-12

2.4x = 168

x = 168/2.4

x = 70°

The measure of angle A = 70°

The measure if angle B = 1.4x+12

B = 1.4(70)+12

B = 98+12

B = 110°

The measure of both angles are 70° and 110°

Answer: B

Step-by-step explanation:

Quadratic parent function is y=x^2  which means the vertex is the origin because if you input 0 into the function you will get an output of zero. (0,0) is the origin which is where the graph intersect.

Answer:

Step-by-step explanation:

α = 180° - 135° = 45°

β = 180° - 120° = 60°

γ = 180° - 60° = 120°

δ = 180° - x

ε = 180° - 80° = 100°

If we divide the pentagon into five triangles then:

5•180° = α + β + γ + δ + ε + 4x

900° = 45° + 60° + 120° + x + 100° + 4x

900° = 325° + 5x

5x = 575°

x = 115°

60° + 120° + 135° + 80° + 115° = 510° ≠ 360°

Complete question :

A total of 46 percent of the voters in a certain city classify themselves as Indepen-dents, whereas 30 percent classify themselves as Liberals and 24 percent say thatthey are Conservatives. In a recent local election, 35 percent of the Independents,62 percent of the Liberals, and 58 percent of the Conservatives voted. A voter ischosen at random. Given that this person voted in the local election what is theprobability that he or she is Given that this person voted in the local election, what is the probability that he or she is (a) an Independent? (b) a Liberal? (c) a Conservative? (d) What fraction of voters participated in the local election?

Answer:

A) 0.331 ; B) 0.383 ; C) 0.286 ; D) 0.4862

Step-by-step explanation:

Given the following :

P(Independent(I)) = 46/100 = 0.46

P(Liberal(L)) = 30/ 100 = 0.3

P(Conservative(C)) = 24 / 100 = 0.24

Election participation (EP) :

P(EP | I) = 35 / 100 = 0.35

P(EP | L) = 62/100 = 0.62

P(EP | C) = 58/100 = 0.58

P(EP) = P(EP | L)*P(L) + P(EP | I)*P(I) + P(EP | C)*P(C)

P(EP) = (0.62*0.3) + (0.35*0.46) + (0.58*0.24)

P(EP) = 0.186 + 0.161 + 0.1392 = 0.4862

A) probability of Independent given that the person participated in election:

P(I Given EP) = [P(EP | I) * P(I)] / P(EP)

= (0.35 * 0.46) / 0.4862

= 0.161 / 0.4862

= 0.331

B) probability of Liberals given that the person participated in election:

P(L Given EP) = [P(EP | L) * P(L)] / P(EP)

= (0.62 * 0.3) / 0.4862

= 0.186 / 0.4862

= 0.383

C.) P(C Given EP) = [P(EP | C) * P(C)] / P(EP)

= (0.58 * 0.24) / 0.4862

= 0.1392 / 0.4862

= 0.286

Answer:

Step-by-step explanation:

The cost of the new car is $20,000.

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $20000

r = 0.05/12 = 0.0042

n = 12 × 5 = 60

Therefore,

P = 20000/[{(1+0.0042)^60]-1}/{0.0042(1+0.0042)^60}]

20000/[{(1.0042)^60]-1}/{0.0042(1.0042)^60}]

P = 20000/{1.286 -1}/[0.0042(1.286)]

P = 20000/(0.286/0.0054012)

P = 20000/52.95

P = $378

Ahmed will pay $378 each month

The total payment is

378 × 60 = $22680

The amount that Ahmed will pay in interest is

22680 - 20000 = $2680

Answer:

Correct (1,9), (2,14)

Incorrect (1,8),(2,13)

Step-by-step explanation:

It is simple.

To find the correct values plug a x value.

For Example;

X=1

y=5(1)+4

y=5+4

y=9

so your X value is 1 and your Y value is 9

To solve for the incorrect values

Find the correct values and subtract 1 form the Y value.

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

We have the equation:

y = 2x - 1 → m = 2, b = -1

Answer:

The slope of this equation is 2.

Step-by-step explanation:

In a y=mx+b equation, the slope is 'm,' so whatever number is before x in an equation like this is the slope.

So y=mx+b -> y=2x+b -> 2=m, b=-1

Answer:

11 minutes. 1/4 of 44 is 11

Answer:

x = 8; y = 12.

Step-by-step explanation:

x + y = 20

x = -y + 20

3x + 4y = 72

3(-y + 20) + 4y = 72

-3y + 60 + 4y = 72

y = 12

x + 12 = 20

x = 8

Check your work!

3(8) + 4(12) = 72

24 + 48 = 72

72 = 72

Hope this helps!

Answer:

X=-12 and Y= 32

Step-by-step explanation:

x+y=20 -> 1

3x+4y=72 -> 2

Form 1,

[x+y=20]×4

4x+4y=60 ->3

Form 2,

3x+4y=72

4y= 72 -3x ->4

Sub (4) into (3)

4x+72-3x= 60

x = -12

Sub X=-12 into (1)

-12+y=20

y= 32

Hope this helps.

Answer:

37

Step-by-step explanation:

Answer:

D. 37

Step-by-step explanation:

Your choice is correct!

Answer:

96,220

Step-by-step explanation:

187,400 x .3 (30%)= 56,220

56220+40000= *96,220

Answer:

96,220

Step-by-step explanation:

187,400 x 0.3 = 56,220

56220+40000= 96,220

hope this helps, have a great day :)

Answer:

The answer is option B.

Step-by-step explanation:

[tex]( - \frac{1}{2} ) ^{ - 3} = ( - 2) ^{3} = - 8[/tex]

Hope this helps you

Answer:

Step-by-step explanation:

B is the answer. This is because you have to calculate (-1/2)^-3 on a calculator. When I did that calculation, I got -8.

(-1/2)^-3      =    (-2)^3 = -2*-2*-2 = 4 * -2 = -8

Hope this helped,

Kavitha

Answer:

C. p > -3

Step-by-step explanation:

We observe the characteristics of the shaded ray on the number line.

It goes to the right, so the inequality must be either greater than or greater than or equal to.

The circle where it starts on is open, so the inequality must not be less than or equal to or greater than or equal to.

Now, without even looking at the numbers themselves, we can find our answer.

There are four different types of inequalities, and we eliminated three of them (<, <=, >=). This leaves only one left (>). The only answer choice that uses the greater than symbol is C, so it must be our answer.

Answer:

[tex]\sqrt[5]{2^3}[/tex]

Step-by-step explanation:

2 is the base

The top of the fraction is the power

The bottom of the fraction is the root

[tex]\sqrt[5]{2^3}[/tex]

Answer: A

Step-by-step explanation:

A fractional exponent can be written as a number with a radical to the power of the denominator raised to the power of the numerator.  It sounds difficult, but is really very easy.

[tex]x^{\frac{4}{13} } =\sqrt[13]{x^{4} } \\x^{\frac{7}{3} } =\sqrt[3]{x^{7} } \\[/tex]

Thus, the answer is A

Answer:

see attached figure

Step-by-step explanation:

table completed.  See figure

Answer:

Step-by-step explanation:

[tex] - 2x + 3 = 9 \\ - 2x = 9 - 3 \\ - 2x = 6 \\ \frac{ - 2x}{ - 2} = \frac{6}{ - 2} [/tex]

[tex]x = - 3[/tex]

Answer: x = -3

Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is -2x.

Since 3 is being added to -2x, we subtract 3 from

both sides of the equation to isolate the -2x.

On the left, the +3 and -3 cancel out and on the right, 9 - 3 is 6.

So we have -2x = 6.

Now we can finish things off by just dividing

both sides of the equation by -2.

On the left the -2's cancel and on right, 6 divided by -2 is -3.

Thus, the solution to this equation is x = -3.

Answer:

there are 10 triangles

5 triangles of blue colors

and 5 triangles of grey colors

area of each cloths = 5 × (area of 1 triangle)

Step-by-step explanation:

Area of triangle

Answer:

22.33%

Step-by-step explanation:

First, divide 67 by 300. Next, take this result and multiply it by 100

67÷300=0.2233

0.2233×100=22.33

So the answer is 22.33%