Which of the following graphs has x-intercepts of -1 and 2?

Answer:

C, 108 ft²

Step-by-step explanation:

To solve, we need to find the area of each of the shapes and then add them together.

The top rectangle's area: 8 * 3 = 24

The left triangle: 3 * 4 * 0.5 = 6

The middle rectangle: 8 * 4 = 32

The right triangle: 4 * 3 * 0.5 = 6

The bottom rectangle: 5 * 8 = 40

Add them all together.

24 + 6 + 32 + 6 + 40 = 108 ft²

Thus, the answer is C, 108 ft²

Answer:

The volume is 878.625

Step-by-step explanation:

First you can convert the mixed numbers and fractions into decimals to make life so much easier. 4 1/2 = 4.5 and 71/4 =17.75

Then simply mulitply 4.5 x 11 x 17.75 and get  878.625

Answer:

1. x² - 6x + 9 = 55 + 9

x²-6x+9 = 64

2. (x-3)² = 64

x- 3 =+-8

x= 3+8 or 3 -8

x = 11 or 5

Answer:

(f, g) = (1 , -2)

Step-by-step explanation:]

Hope this helps!

Answer:

(0,-5)(0,-8)

Step-by-step explanation:

Answer:

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

Step-by-step explanation:

Before building the confidence interval we need to understand the central limit theorem and the subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Sample of 800 teens. 73% said that they use social networking sites.

This means that:

[tex]p_T = 0.73, s_T = \sqrt{\frac{0.73*0.27}{800}} = 0.0157[/tex]

Sample of 2253 adults. 47% said that they use social networking sites.

This means that:

[tex]p_A = 0.47,s_A = \sqrt{\frac{0.47*0.53}{2253}} = 0.0105[/tex]

Distribution of the difference:

[tex]p = p_T - p_A = 0.73 - 0.47 = 0.26[/tex]

[tex]s = \sqrt{s_T^2+s_A^2} = \sqrt{0.0157^2+0.0105^2} = 0.019[/tex]

Confidence interval:

Is given by:

[tex]p \pm zs[/tex]

In which

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

95% confidence level

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

Lower bound:

[tex]p - 1.96s = 0.26 - 1.96*0.019 = 0.223[/tex]

Upper bound:

[tex]p + 1.96s = 0.26 + 1.96*0.019 = 0.297[/tex]

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

Answer:

48pi

Step-by-step explanation:

pi x 8² - pi x 4²

64pi - 16pi

48pi

Answer:

I believe it is 6xy

Step-by-step explanation:

This is because we don't know the value of x and y but we know that 9-3 = 6

Answer: B= 3y-9/x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The mean is 6.41428571429

9514 1404 393

Answer:

  2 times

Step-by-step explanation:

Other things remaining the same, the volume of any prism is proportional to its height. If you double the height, it is like having two prisms of the same size. The volume doubles. The new volume is 2 times the original volume.

9514 1404 393

Answer:

  >

Step-by-step explanation:

1 kg = 1000 g

Multiplying by 1000, you have ...

  1000 kg = 1,000,000 g

  1,000,000 g > 100,000 g

The appropriate relation symbol is >.

Answer:

50%

Step-by-step explanation:

Theres 10 shapes and 5 of them are yellow. So that is 5/10 which equals 50%

hope this helps <3

Answer:

50%

Step-by-step explanation:

5/10 are yellow so 5% I think

Answer: 27.2

Step-by-step explanation:

[tex]\sin 54^{\circ}=\frac{22}{x}\\\\x \sin 54^{\circ}=22\\\\x=\frac{22}{\sin 54^{\circ}} \approx \boxed{27.2}[/tex]

9514 1404 393

Answer:

  A. Point in quadrant 1

Step-by-step explanation:

As x increases, the lines get closer together. The two lines will meet in Quadrant 1 at one point.

The solution set is one point in quadrant 1.

Answer:

56% because the more sunny days the more likely it is to rain

Answer:

Step-by-step explanation:

Lets keep the missing side as x

And we also know that the area of Triangle is,

[tex] \frac{1}{2} bh[/tex]

So taking this into consideration we can write a linear equation like this,

[tex] \frac{1}{2} bh = 20[/tex]

Where height is 8,

[tex] \frac{1}{2} \times b \times 8 = 20 \\ 4 \times b = 20 \\ b = \frac{20}{4} \\ b = 5[/tex]

So therefore the missing side is 5

Answer:

Option 4

Step-by-step explanation:

From the given figure,

Measure of an angle = 34°

Adjacent side of the given angle = 40m

We have to find the length of the opposite side.

By applying tangent rule in the given right triangle,

tan(34°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

Opposite side = Adjacent side × tan(34°)

                        = 40 × 0.6745

                        = 26.98 m

                        ≈ 27 m

Therefore, height of the flagpole is approximately 27 m.

Option 4 will be the answer.

Answer:

Step-by-step explanation:

cos 45 = 7/x

x cos 45 = 7

x = 7/cos 45

x= 7 sqrt(2)

Answer:

9/22

Step-by-step explanation:

= 1 /2 − 1 /11

= 1 /2 + −1 /11

= 11 /22 + −2 /22

= 11+−2 /22

= 9 /22

(Decimal: 0.409091)

Answer:

9/22

Step-by-step explanation:

multiply 1 by 11, and get 11

multiply 1 by 2, and get 2.

Next we give both terms new denominators -- 2 × 11 = 22

11 − 2 = 9

The 7th term of the given geometric sequence is equal to: A. 448.

Given the following sequence:

A geometric sequence can be defined as a series of real and natural numbers that are generally calculated by multiplying the next number by the same number each time.

Mathematically, a geometric sequence is given by the expression:

[tex]a_n =a_1r^{n-1}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]a_{7} =7 \times -2^{7-1}\\\\a_{7} =7 \times -2^{6}\\\\a_{7} =7 \times 64[/tex]

7th term = 448.

Read more on geometric sequence here: brainly.com/question/12630565

Answer:

Step-by-step explanation:

take 49 degree as reference angle

using cos rule

cos 49=adjacent/hypotenuse

0.65=x/16

16*0.65=x

10.4=x

Answer:

The relationship between the y coordinates in table a and b is that they are parallel to each other on the graph.

Step-by-step explanation:

I have no idea what they are asking for I'm sorry

Answer:

3

Step-by-step explanation:

Frequency of a data set is the number of teams it appears, and thus, the frequency of 5 in this set is 3.

Answer:

1310.4

Step-by-step explanation:

1872 x 0.7 = 1310.4

Answer:

1310.4

Step-by-step explanation:

Multiply 70% by 1872 or .70×1872

Answer:

D

Step-by-step explanation:

The volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

A sphere with a diameter of 9 units fits exactly in the clear glass cube.

Diameter = 9 units

The radius r = 9/2 units

The volume of the sphere:

[tex]\rm V = \dfrac{4}{3} \pi (9/2)^3[/tex]

[tex]\rm V = \dfrac{4}{3} \pi (4.5)^3[/tex]

The volume of cube = a³

a is the side length

The volume of the cube = (9)³

The volume, in cubic units, of empty space in the cube:

[tex]=(9)^3- \rm \dfrac{4}{3} \pi (4.5)^3[/tex]

Thus, the volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.

Learn more about the sphere here:

brainly.com/question/11374994

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Answer:

4.42

Step-by-step explanation:

5.2 x 10-3 multiplied by 850. I got it right on my assignment

The mass of the 850 nails is 442 x 10⁻² kilograms.

The mathematical operation of multiplication is arithmetic. Additionally, it involves repeating the same forms of statements.

Example: 2 + 3 signifies that 2 is multiplied by 3 or that 3 is multiplied by 2 times.

A carpenter bought 850 nails.

Each nail has a mass of 5.2 x 10-3 kg.

To find the total mass:

Use multiplication operation,

850 x 5.2 x 10⁻³

= 4420 x 10⁻³

= 442 x 10⁻²

Therefore, the mass is 442 x 10⁻² kilograms.

To learn more about the multiplication;

https://brainly.com/question/19634536

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Answer:

12

Step-by-step explanation: