Please show me the work!

Answer:

x = 9

Step-by-step explanation:

According to the midsegment theorem,

HG = ½(QS)

Thus:

21 + 2x = ½(2x + 24)

Multiply both sides by 2

2(21 + 2x) = 2x + 24

42 + 4x = 2x + 24

Collect like terms

42 - 24 = 2x - 4x

-18 = -2x

Divide both sides by -2

9 = x

x = 9

Answer:

D

Step-by-step explanation:

A linear function has exactly one output to each input.

The given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.

Given that,
Thomas has graphed the function y = 7x – 10 on a coordinate plane.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,

As the function is the equation of the straight line that implies it gives exactly one output to each input and has negative input or negative association to sub-function 7x.

Thus, the given function has both negative associations and assigns exactly one output to each input. Options C and D both are correct.

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Answer:

Mr. Ehrig is at the lowest elevation. AND .Mrs. White is closest to street level.

Step-by-step explanation:

Answer:

a. (92.4, 94.8)

Step-by-step explanation:

Given that:

Mean (m) = 93.6

Standard deviation (σ) = 4.2

Sample size (n) = 34

α = 90%

Confidence interval around sample mean :

Mean ± Zstatistic * s/√n

Z0.90 = 1.645 (Z probability calculator)

s / √n = 4.2 / √34 = 0.7202940

Lower limit = 93.6 - (1.645 * 0.7202940) = 92.41511637 = 92.4

Upper limit = 93.6 + (1.645 * 0.7202940) = 94.78488363 = 94.8

Answer:

938

Step-by-step explanation:

So if you are taking a quiz it's C.

Answer:

baila como juana la cubana

Step-by-step explanation:

Answer:

Undefined

Step-by-step explanation:

Answer:69/20

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

anything over 5 you round up.

7 is greater than 5 so you round up to 6

Answer: 5

Step-by-step explanation:

If the number is 5 or more, you round it up.

It the number is 4 or less, you leave it alone.

Using this process, we eliminate the numbers .734

We get the number 5 as our answer.

Answer:

Y= 30

X= 0.75

Step-by-step explanation:

If the first Y was 1,200 and X was 30, then that means every time your divide Y by 40, you will get your X. It's the exact opposite if you want to find Y.

So you want to divide your Y, which is 30, by 40. Once who find your answer, you should have gotten 0.75 for X.

Why divide by 40? Good question. You divide by 40 because if you multiply your X example Y= 1,200, X= 30, you will get 30x40 which is 1,200. Do it the other way around divide 1,200 by 40, you get 30.

All in all your answer should be X= 0.75. If not tell me.

Thank You For Your Time

Given:

Total number of student = 40

Students who like Computer Science (group A) = 40

Students who like Philosophy (group B) = 30

Students who like both (group A∩B) = 20

To find:

If a student chosen randomly likes Computer  Science, what is the probability that they also like Philosophy?

Solution:

Let the following events,

A: Student like Computer Science

B: Student like Philosophy

Now,

[tex]P(A)=\dfrac{40}{100}=0.4[/tex]

[tex]P(B)=\dfrac{30}{100}=0.3[/tex]

[tex]P(A\cap B)=\dfrac{20}{100}=0.2[/tex]

We need to find the probability that the student like Philosophy if it is given that he likes Computer science, i.e, [tex]P(\dfrac{B}{A})[/tex].

Using conditional probability, we get

[tex]P(\dfrac{B}{A})=\dfrac{P(A\cap B)}{P(A)}[/tex]

[tex]P(\dfrac{B}{A})=\dfrac{0.2}{0.4}[/tex]

[tex]P(\dfrac{B}{A})=\dfrac{1}{2}[/tex]

[tex]P(\dfrac{B}{A})=0.5[/tex]

Therefore, the required probability is 0.5.

Answer:

D.

Step-by-step explanation:

the difference between 85 and 72 is 13. 13 is 18% of 72.

Answer:

He can buy 4 books with 2 dollars remaining

Step-by-step explanation:

30/7 = 4 R2

Answer: 4 books.

Explanation: First you divide $30 by 7, and you get 4 and 2/7 (2/7 as the remainder) left over. So you can't have 4 and 2/7 books, it has to be a whole number.

Therefore, he can buy 4 books. I hope this helped!

Answer:

135

Step-by-step explanation:

3+5=8. 360÷8=45. 45×3=135

If the ratio of cars to trucks in the parking lot is 3:5. If there are 360 vehicles in the parking lot, then there are 225 trucks

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The ratio of cars to trucks in the parking lot is 3:5.

there are 360 vehicles in the parking lot

(360-x)/x=3/5

Cross Multiplication

5(360-x)=3x

1800-5x=3x

1800=8x

x=225

So there are 225  trucks.

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Answer:

im answering for points

Step-by-step explanation:

sorry people who wanna answer

Answer:

5.218

Step-by-step explanation:

5 or more, you add one. Four or less, you change it to zero.

Answer:

0

Step-by-step explanation:

Without solving anything, we can tell that the line that crosses these points is a horizontal line because both of the y-coordinates are the same. This tells us that the slope of the line is 0.

To prove this, we can find the slope of the line by plugging the two points,[tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex],  into the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]\frac{y_2-y_1}{x_2-x_1}\\\frac{5-5}{-17-(-9)}\\= \frac{0}{-17+9)}\\= \frac{0}{-8}\\= 0[/tex]

Therefore, the slope of the line that passes through the points (-9,5) and (-17,5) is 0.

I hope this helps!

Answer:

6 and 4

Step-by-step explanation:

6 + 4 = 10

6 - 4 = 2

Hope this helped you :)

6 and 4

6-4 = 2

6+4 = 10

They tell you the sum is 10, so think of #'s that make 10:

1,9

2,8

3,7

4,6

5,5

Now, which ones make 2 when subtracted

9-1 = 8

8-2 = 6

7-3 = 4

6-4 = 2

5-5 = 0

Therefore, the answers are 6 and 4

Answer:

y ≤ 3x − 1

y ≤ −x + 4

Step-by-step explanation:

Answer:

a) The value of A = 2

b) The value of [tex]B = \dfrac{1}{12}[/tex]

Step-by-step explanation:

a)

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.

Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]

This implies that:

[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]

[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]

[tex]A \times \dfrac{1}{2}=1[/tex]

A = 2

Thus, the value of A = 2

b)

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]

where; B is constant.

Then, using the property of the probability density function:

[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]

Taking the integral, we have:

[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]

[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]

[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

[tex]B = \dfrac{1}{12}[/tex]

Answer:

440

Step-by-step explanation:

I learned with parenthesis if its like this 4(7)

It usually means to multiply

soo

88 times 5

=440

soo

88

Answer:

8/12

Step-by-step explanation:

Answer:

-3.25 or -3 1/4

Step-by-step explanation:

-3.75

+ .5

_______

Answer:

I think true.

Step-by-step explanation:

0 solutions.

2(75+8) =5(85+9)

166≠470

Answer:

yes

Step-by-step explanation:

they are congruent