Select the correct symbol

To be able to solve clearly this problem, the best thing to do is to plot the graph (see attached pic). From the graph we can see that the points form a trapezoid.

The base is formed by the segment connecting point A and point B.

While the two heights: shorter one by the segment connecting points A and D, and the longer one by the segment connecting points B and C.

The formula for area of trapezoid is given as:

A = b (h1 + h2) / 2

Where,

b = base of the trapezoid  = 3 – (-4) = 7

h1 = shorter height = 2 – (-2) = 4

h2 = longer height = 2 – (-5) = 7

Therefore the area is:

A = 7 (4 + 7) / 2

A = 77 / 2

A = 38.5

Answer:

Step-by-step explanation:

[tex]h(x)=-3x^{4} +5x^{3}-8x^{2} -3x+2[/tex]

roots:±1, ±[tex]\frac{1}{3}[/tex], ±2, ±[tex]\frac{2}{3}[/tex]

Answer:

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Step-by-step explanation:

Empirical Rule:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

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.

Population:

Mean $45.90, standard deviation $10.31.

Sample:

By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]

Which interval can the branch manager be 95% certain that the sample mean will fall within?

By the Empirical Rule, within 2 standard deviations of the mean. So

45.90 - 2*0.5155 = $44.87

45.90 + 2*0.5155 = $46.93

We can be 95% certain that the sample mean will fall within $44.87 and $46.93

Answer: 52

Step-by-step explanation:

is that all there is to it? just simply adding up 12 + 32 + 8, adding up the number of women who took the survey? if so, the answer is 52.

Answer:

15 parents

Step-by-step explanation:

Answer:

2ddksdfkladfkjkafadfasf

Answer:

21+x

Step-by-step explanation:

Because this does not equal anything, we can't solve for x. Instead, we can just simplify the equation. Since there is a + sign to the left of the parentheses, it shows that we do not need to distribute.

13+(x+8)

21+x

Hope this helps!! Have a nice day ^^

Answer:

First off you would distribute the invisible positive 1 to the x and 8

Then you will get 13+x+8

Last add 13 and 8 to get 21

Your final answer is 21+x

Step-by-step explanation:

Answer:

$5

Step-by-step explanation:

25-80%=5

9514 1404 393

Answer:

  C. 2

Step-by-step explanation:

When the coefficients of the standard-form quadratic are a, b, and c, the equation of the line of symmetry is ...

  x = -b/(2a)

Solving for 'a', we find ...

  a = -b/(2x)

For the given values b=-8 and x=2, the value of 'a' is ...

  a = -(-8)/(2·2) = 8/4 = 2

The value of "a" is 2.

Answer:

Commutative Property of Multiplication

I hope this helps you :D

Commutative

The commutative property tells us that two addition and multiplication sentences are equal no matter the order.

For example:

3+4=4+3

6 x 5= 5 x 6

Hope this helps. Please give brainiest.

Hi there!

[tex]\large\boxed{x = 16}[/tex]

x / 2 - 5 = 3

Begin by adding 5 to both sides to isolate for x:

x / 2 - 5 + 5 = 3 + 5

x / 2 = 8

Multiply both sides by 2 to have "x" alone on the left-hand side:

(x / 2) × 2 = 8 × 2

x = 16

Answer:

because if x is 16

16/2 = 8 and so on 8 - 5= 3 so that is the answer

Step-by-step explanation:

Answer:

3x-3 i think

Step-by-step explanation:

9x-6x = 3x 5-8 = -3

The price will be $148. $185 - 20% =$148.

Answer:

6

Step-by-step explanation:

10, 10, 10, 10, 10, 10. Those are 6 tens

Answer:

1. C.

2. B.

Step-by-step explanation:

Hope This Helps!!! : )

Answer:

PV= $72,866.33

Step-by-step explanation:

Giving the following information:

Interest rate= 6% compounded semiannually

Number of periods= 26*2= 52 semesters

Future value= 338,893

To calculate the initial investment (PV), we need to use the following formula:

PV= FV/(1+i)^n

i= 0.06/2= 0.03

PV= 338,893 / (1.03^52)

PV= $72,866.33

Answer:

The correct answer is $72,866.33

Answer:

Kiara is correct

.............

Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

From the figure

Slope between A and B = rise/ run 3/3 = 1

and, slope between B and C = 5/5 = 1

So, the slope between A and B is same as the slope between B and C.

Hence, Kiara has correct statement.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

Answer:

2 2/5

Step-by-step explanation:

3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5

Answer:

3/10 of the pizza is given to each person

Step-by-step explanation:

total number of people= 10

number of pizzas=3

as a fraction, this would be 3/10

you can also use this as 30 out of 100 if that's easier to understand.

Hope this helps ༼ つ ◕_◕ ༽つ

Answer:

Smaller

Step-by-step explanation:

Example: say the original size is 100

increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120

reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is  96.

100>96

Answer:

2/18

Step-by-step explanation:

because i multiplied 1/9 by 2

Answer:

The amount of sale is approximately 5714.

Step-by-step explanation:

Let x be the sales made that will result to the same salary and let y be the same weekly salary.

We can represent both salaries as follows:

300 + 0.04x = y

100 + 0.075x = y

Subtracting the second equation from the first, we have:

200 – 0.035x = 0

0.035x= 200

x = 200/0.035

x ≈ 5714.

Therefore, the amount of sale is approximately 5714.

Answer:

I think Your best answer would be 117 yards.

Step-by-step explanation:

Answer:  90 words per minute

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

Work Shown:

270 words : 3 minutes

270/3 words : 3/3 minutes ..... divide both parts by 3

90 words : 1 minute

Brayden can type 90 words per minute (wpm).

Answer:

y=7/5x-3 is the slope intercept form

Answer:

√2/2 or 0.70710678118

Step-by-step explanation:

The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

Answer:

Step-by-step explanation:

Combine like terms.Like terms have same variable with same exponent

4x³ + 6x - 7 + 3x³ - 5x² - 5x + 9 = 4x³ + 3x³ - 5x² + 6x - 5x  - 7 + 9

                                                  = 7x³ -5x² + x + 2

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units