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Answer:

Blue = YES

Red = NO

Green = YES

Step-by-step explanation:

Given the distribution of colors on a spinner :

Blue = 4 ; Red = 6 ; Green = 2

Number of spins = 24

Total = (4 + 6 + 2) = 12

Recall:

Probability, P = required outcome / Total possible outcomes

P(red) = 6 /12 = 1/2

P(blue) = 4 / 12 = 1/3

P(green) = 2 / 12 = 1/6

On 24 spins :

Possible number of red = 1/2 * 24 = 12

Possible number of green = 1/6 * 24 = 4

Possible number of blue = 1/3 * 24 = 8

Answer:

a. 0.87

b. The margin of error is of 0.0124.

c. The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).

d. The 95% confidence interval for this population proportion is (0.8553, 0.8847).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence interval is:

[tex]\pi \pm M[/tex]

a. What is the point estimate of the population proportion of adults who think the future health of Social Security is a major economic concern.

The sample proportion, that is, 1740 out of n = 2000. So

[tex]\pi = \frac{1740}{2000} = 0.87[/tex]

0.87 is the point estimate.

b. At 90% confidence, what is the margin of error?

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

Then the margin of error is of:

[tex]M =  z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M =  1.645\sqrt{\frac{0.87*0.13}{2000}}[/tex]

[tex]M = 0.0124[/tex]

The margin of error is of 0.0124.

c. Develop a 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern

[tex]\pi - M = 0.87 - 0.0124 = 0.8576[/tex]

[tex]\pi + M = 0.87 + 0.0124 = 0.8824[/tex]

The 90% confidence interval for the population proportion of adults who think the future health of Social Security is a major economic concern is (0.8576, 0.8824).

d.

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Then the margin of error is of:

[tex]M =  z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M =  1.96\sqrt{\frac{0.87*0.13}{2000}}[/tex]

[tex]M = 0.0147[/tex]

The confidence interval will be of:

[tex]\pi - M = 0.87 - 0.0147 = 0.8553[/tex]

[tex]\pi + M = 0.87 + 0.0147 = 0.8847[/tex]

The 95% confidence interval for this population proportion is (0.8553, 0.8847).

Answer:

Hello! answer: 10

Step-by-step explanation:

Formula for area of squares: base × height

Formula for area of triangles: base × height ÷ 2

2 × 2 = 4

2 × 2 ÷ 2 = 2

4 × 2 ÷ 2 = 4

4 + 2 + 4 = 10 therefore the area is 10 hope that helps!

Answer:

B. parallelogram

Step-by-step explanation:

Given

See attachment for quadrilateral

Required

Select the type of quadrilateral

From the attached image, we have:

[tex]DE = FG[/tex] -- Opposite, Parallel and Equal

[tex]EF = GD[/tex] -- Opposite, Parallel and Equal

Since all 4 sides are not equal, then it is neither a square; nor a rhombus

Hence, the shape is a parallelogram

Answer:

9

Step-by-step explanation:

Answer:

answer is 3^2

hopefully this helps someway

Answer: (3, 8)

Hope it helps :)

The point graphed on the coordinate plane is either (3,8) or (8,8), depending on whether the horizontal axis is labeled from left to right or right to left.

A graph is a visual representation of data or a mathematical equation. It is used to show the relationship between two or more variables, usually depicted on the horizontal and vertical axes of the graph.

The given points are of the form (x,y), where x is the horizontal axis coordinate (also known as the x-axis) and y is the vertical axis coordinate (also called the y-axis).

Each point in the given options is represented by its (x,y) coordinates. Based on the options provided, we must determine which point is graphed on the coordinate plane.

So, to accomplish this, we simply compare the (x,y) coordinates of each option to the coordinates on the graph and select the option that matches.

Thus, (3,8) or (8,8) can be the coordinate plane.

For more details regarding graph, visit:

https://brainly.com/question/17267403

#SPJ7

Answer:

The longest segment is approximately 19.13cm

Step-by-step explanation:

Given

[tex]l = 14cm[/tex]

[tex]w = 11cm[/tex]

[tex]h = 7cm[/tex]

Required

The length of the longest segment (d)

This is calculated using:

[tex]d = \sqrt{l^2 +w^2 + h^2[/tex]

So, we have:

[tex]d = \sqrt{14^2 +11^2 +7^2[/tex]

Using a calculator, the equation becomes

[tex]d = \sqrt{366[/tex]

Take square roots

[tex]d = 19.13cm[/tex]

Answer:

26

Step-by-step explanation:

5 × 4 = 20 (rectangle)

8-5 = 3 (triangle)

3×4÷2 = 6

20+6 = 26

Answer:

3.88

Step-by-step explanation:

$57 multiplied by 7%

Answer:

x == 9

Step-by-step explanation:

Angle at the vertex is half the difference of those at the intercepted arcs;

35 = 1/2(120-15x+5)

35 * 2 = 120-15x-5

70 = 115 - 5x

70 - 115 = -5x

-45 = -5x

x = 45/5

x = 9

Hence the value of x is 9

Answer:

d is correct

Step-by-step explanation:

Answer:

C 30 in

Step-by-step explanation:

set a proportion: 36/12 = x/10 => x = 36 × 10 ÷ 12 = 30

Answer:

Haha once again 1200 and 8.5 are the answers

Answer:

[tex]2x^2 - 50 = 0 \\\\2(x^2 - 25) = 0\\\\(x^2 -5^2 ) = 0\\\\(x-5)(x+5) = 0\\\\x = 5, -5[/tex]

Answer:

can you show me the picture? I will edit my answer if you show me full picture

Step-by-step explanation:

Answer:

[tex]f(x)=\sqrt{x}+5[/tex]

Step-by-step explanation:

The parent function of the graph is clearly [tex]f(x)=\sqrt{x}[/tex]. However, at [tex]x=0[/tex], y is equal to 5. Therefore, the function translated up 5 units. Thus, the equation of the function is [tex]f(x)=\sqrt{x}+5[/tex].

Answer:

f(x) = 5 + √x

Step-by-step explanation:

x= 0 ==> y = 5

x= 25 ==> y = 10

this is sq root function, starting from y=5

so, f(x) = 5 + √x

[tex]1. \sf{\ Given : \bigg(\dfrac{10^5}{10^2}\bigg) (10^2)^3}[/tex]

The above expression can be written as :

[tex]\implies \sf{10^{(5-2)}}.10^{(2)(3)}}[/tex]

[tex]\implies \sf{10^{(3)}}.10^{(6)}}[/tex]

As Bases are same, we can add the powers with same base

[tex]\implies \sf{10^{(3 + 6)}}}}[/tex]

[tex]\implies \sf{10^{9}}}}[/tex]

[tex]2. \sf{\ Given : \dfrac{10^5}{10^3.10^8}}[/tex]

The above expression can be written as :

[tex]\implies\sf{\dfrac{10^5}{10^{(3 + 8)}}}[/tex]

[tex]\implies\sf{\dfrac{10^5}{10^{11}}}[/tex]

[tex]\implies\sf{10^{(5 - 11)}}[/tex]

[tex]\implies\sf{10^{-6}}[/tex]

[tex]3. \sf{\ Given : \dfrac{10^{-2}.10^{-3}}{(10^2)^{-5}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-2 - 3)}}{10^{(2)(-5)}}}[/tex]

[tex]\implies\sf{\dfrac{10^{(-5)}}{10^{(-10)}}}[/tex]

[tex]\implies\sf{10^{(-5 + 10)}}[/tex]

[tex]\implies\sf{10^{5}}[/tex]

[tex]4. \sf{\ Given : (2.5\ x \ 10^8)(8\ x \ 10^3)[/tex]

[tex]\implies \sf{(2.5 \ x \ 8)(10^{(8 + 3)})}[/tex]

[tex]\implies \sf{(20)(10^{11})}[/tex]

[tex]\implies \sf{2 \ x \ 10^{12}}[/tex]

[tex]5. \sf{\ Given : \dfrac{27.8 \ x \ 10^{8}}{25 \ x \ 10^{3}}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{(8 - 3)}}[/tex]

[tex]\implies\sf{1.112\ x \ 10^{5}}[/tex]

9514 1404 393

Answer:

  21 yards

Step-by-step explanation:

The area of a quadrilateral with diagonals that are right angles to each other is given by ...

  A = (d1)(d2)/2 . . . . where d1 and d2 are the lengths of the diagonals

  493.5 yd² = (47 yd)(BD)/2 . . . . . . . . . . fill in the given information

Dividing by the coefficient of BD, we have ...

  (2)(493.5 yd²)/(47 yd) = BD = 21 yd

9514 1404 393

Answer:

  A  x = 15

Step-by-step explanation:

Lines AB and CD being perpendicular means the angles where they meet are all 90°. The diagonal line divides two of those 90° angles into two parts (each). The whole (90°) is the sum of the parts into which the angle has been divided.

The sum of angles 3 and 4 is 90°. Once you understand this relationship, you can write an equation based on the relationship. The equation can be solved in the usual way.

  (4x +4)° +26° = 90°

  4x = 60 . . . . . . . . . . . . divide by °, subtract 30

  x = 15 . . . . . . . . . . divide by 4

Answer:

a Minimum

Step-by-step explanation:

Answer: is 27 quarts

Step-by-step explanation:

Answer: 27 quarts

Step-by-step explanation:

6 gallons is 24 quarts. Add the 3 to get 27. Formula: Gx4= Q

6x4=24 Plus the 3 extra= 27 quarts Hope this Helps uwu

Answer:

15mm

Step-by-step explanation

It says the perimeter is 120 pi, if pi is separate from 120, that would make 120 our radius 60. with 4 semicircles, divide 60 by 4 and boom, 15.

I think that's right, I was never good at geometry  

Answer:

log2 10 = 3x

Step-by-step explanation:

Basic Logarithm Tenets

Answer:

log2 10=3x

Step-by-step explanation:

is the amswer

Answer:

6?

Step-by-step explanation: