21 and 22 are complementary
angles. The measure of Z1 is (2x + 7)º.
The measure of Z2 is (3x + 58)°. What
is the value of x?

Answer:

0.5inches=75miles

[tex]3.5 = 75 \times 7 = 525[/tex]

so it means the distance between the two towns is 525miles

Using the binomial distribution, considering the probability of each event, the correct histogram is the fourth one.

For each question, there are only two possible outcomes, either the student guesses the correct answer, or not. The probability of guessing the correct answer on a question is independent of any other question, hence the binomial distribution is used to solve this question.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Then, the probabilities are as follows:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125[/tex]

[tex]P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625[/tex]

[tex]P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125[/tex]

[tex]P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125[/tex]

[tex]P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625[/tex]

[tex]P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125[/tex]

Hence the fourth histogram is correct.

More can be learned about the binomial distribution at https://brainly.com/question/14424710

It will take 5 hours to pump 60000L of water using 9 pumps

Data;

Rate = Time * number of pumps

[tex]\frac{a}{3*10} = \frac{60000}{40000}\\ \frac{a}{30} = \frac{6}{4} \\a = 45[/tex]

But since we've established the equation above, let's substitute the values and solve for the time required to pump 60000L into the dam using 9 pumps as compared to 10 pumps. We can easily do this by calculating the rate of the pump.

Rate = time * number of pumps

[tex]45=x*9\\x = \frac{45}{9} \\x = 5 hours[/tex]

It will take 5 hours to pump 60000L of water using 9 pumps

Learn more on rate of flow here;

https://brainly.com/question/21630019

20 is the answer.

Step-by-step explanation:

Take a look at the given question,

"75% of what number is 15"

Let's substitute this "what number" as "x"

[tex]75[/tex]%[tex] \times x = 15[/tex]

[tex]→x = \frac{15}{75 \: percent} [/tex]

[tex]→x = \frac{15}{ \frac{75}{100} } [/tex]

[tex]→x = \frac{15}{0.75} [/tex]

To make the denominator as positive for making calculations more easy, we get,

[tex]x = \frac{15 \times 100}{0.75 \times 100} [/tex]

[tex]→x = \frac{1500}{75} [/tex]

Now after doing the division, we get,

[tex]x = 20[/tex]

Hence, 75% of 20 is 15.

Answer:

75

Step-by-step explanation:

0.3*300=90

0.05*300=15

90-15=75

Answer:

ok so we want to find out 30% of 300 is

so first lets turn it into its decmil form by multiplying by 0.01 so

30*0.01=0.3

then lets multiply that by 300 so

300*0.3=90

90 people were from whales

15 people from scotland

90-15=75

Hope This Helps!!!

Answer:

  (b)  -√3

Step-by-step explanation:

Any fraction or terminating decimal is rational. (a) and (c)

Any repeating decimal is rational.

Any square root of a perfect square is rational. (d)

Any square root of an integer that is not a perfect square is irrational. (c)

The sign of the number is irrelevant.

__

Of these numbers, the irrational one is -√3.

Answer:

192 cm3

Step-by-step explanation:

The volume of any pyramid is 1/3 × b × h, where b =  area of base of the pyramid and h = height of the pyramid.

Area of Base:

Now, we multiply 24 by 24.

Lastly, we divide by 3.

Therefore, the answer is 192 cm^3.

Answer:

44 students play video games

Step-by-step explanation:

110*0.40 = 44

i hope this helps! have a wonderful rest of ur day :)

Answer:

40/100

Step-by-step explanation:

40% of 110 is 44 so we make this a fraction 44/110 and then simplify to get 2/5 and after that we know that 2/5 is also 40/100, meaning 40 out of 100 students like video games.

Step-by-step explanation:

[tex]4(3 + c) + c = c + 4 \\ 12 + 4c + c = c + 4 \\ 12 + 5c = c + 4 \\ 12 + 4c = 4 \\ 4c = 4 - 12 \\ 4c = - 8 \\ c = - 2[/tex]

Answer:

(2;-5) and (0;-4).

Step-by-step explanation:

if the given graph is the same as in the attached picture (y=-0.5x-4), then two points only belong to it.

Answer:

50.5 m^3

Step-by-step explanation:

Volume of pyramid = 1/3 × base area × height.

Area of Base:

Next, we multiply 13.76 by 11.

Lastly, divide by 3 and round to nearest tenth.

Therefore, the answer is 50.5 m^3

Answer:

[tex]5.4x18 = 97.2[/tex]

Step-by-step explanation:

5.4

×

18

=97.2

Answer:

4x18=72 that's the correct answer I use calculator

Answer:

hola es 553586;(8)5-?+&5%€3-+(?))%-!++533++&€3€-((+%6544-++86

Answer:

-24xy

Step-by-step explanation:

First:

6x-4= -24

Second Add the variable:

-24xy

Third: Solution

-24xy

From the given graph , we see that it passes through the point (0,-1) .

→ y intercept = -1

For finding slope , take another point as (1,3) . Now using the points (1,3) and (0,-1) we can find out the slope as ,

→ m = y2 - y1 / x2 - x1

Substituting the respective values,

→ m = 3 -(-1)/1-0

→ m = 3+1/1

→ m = 4/1

→ m = 4

Hence the slope of the line is 4 and its y intercept is -1 .

Answer:

M=5+sr of 15/10, 5-sr of 15/10

Answer:

y = x + -2

Step-by-step explanation:

I know you're probably asleep but here's the answer. And I'm 14 years old, so I might be young and undereducated.

(-4,2) and (6,-8)

-8-2 = -10

6 -(-4) = 10 (-10/10 = -1)

-8 = 6(-1) + b

-8 = -6 + b

-2 = b

Step-by-step explanation:

AB/BD=AC/CE

12/8=15/CE

12CE/12=120/12

CE=10

Answer:

17. False: ∠QUR is a right angle.

18. True

19. False: change supplementary into complementary.

20. True.

21. False: change 40 into 55.

22. False: change the second 150 into 30.

23. False: change 180 into 90.

Answer:

0 and 3.6

Step-by-step explanation:

4x0x9.17= 0

1.8x1x2= 3.6

Answer:

0

3.6

Step-by-step explanation:

4x0x9.17=0

1.8x1x2=3.6

Answer: A

Step-by-step explanation:

The segment passes through the center of the circle, O, and its endpoints lie on the circumference of the circle.

The segment ZX is the diameter of the circle O. Then the correct option is A.

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The diameter of the circle is the longest chord that is passing through the center of the circle.

The segment ZX is the diameter of the circle O.

Then the correct option is A.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ5

Answer:

(3,-2)

Step-by-step explanation:

See image

Answer:

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

Step-by-step explanation:

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

Answer:

4 x 2 - 6

= 8 - 6

=2

Step-by-step explanation:

Answer:

  20

Step-by-step explanation:

The grid lines are 1 unit apart, so you can determine the dimensions of the trapezoid by counting grid squares. The parallel bases have lengths 6 and 2. They are 5 units apart.

The area is given by ...

  A = 1/2(b1 +b2)h

  A = 1/2(6 +2)(5) = 20

The area of the trapezoid is 20 square units.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The two triangles have two equal side measures:

The third side is different and the given angles are opposite them.

It means the angle measure 4x - 20 is smaller than 112:

On the other hand, the angle measure is positive:

So the possible range of x is:

First it must be positive

And

So solution range

The answer is -6 :)

1. Add 40 to both sides of the equation.

-8x-40=8

-8x-40+40=8+40

2. Add the numbers.

-8x=48

3. Divide both sides of the equation by the same term.

-8x=48

[tex]\frac{-8x}{-8}[/tex]=[tex]\frac{48}{-8}[/tex]

4. Cancel terms that are in both the numerator and denominator and divide the numbers.

x=-6

hope this helped! :)

Answer:

equation: sin 20 = 15/x

x=43.86

Step-by-step explanation:

sin = opposite over hypotenuse = 15/x from the corner with angle 20