The relative frequency that the traffic lights will show GREEN at road works is 0.7. Estimate how many times they would be RED over the next 40 journeys?

Answer:

(-2,-3)

Step-by-step explanation:

A=(8,-5)

M=(3,-4)

The difference between them is that m is 5 to the left and 1 up. We need to do the same thing to find B.

B=(-2,-3)

Answer:

5) x = 0.75

6) x = 12

Step-by-step explanation:

5)

Use geometric mean of altitude

[tex]12 = \sqrt{x^2 * 16^2} \\12^2 = x^2 * 16^2\\144 = 256x^2\\x = 0.75[/tex]

6)

Use geometric mean of legs

[tex]60^2 = \sqrt{(36+x)^2+36^2} \\3600 = (36+x)^2 + 36^2\\x=12[/tex]

9514 1404 393

Answer:

  135°

Step-by-step explanation:

In order to answer the question, we must assume that the black lines are parallel to each other.

The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.

  ∠2 +∠8 = 180°

  15x +5x = 180°

  x = 180°/20 = 9°

  ∠2 = 15x = 15(9°) = 135°

Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.

  ∠3 = 135°

Answer:

When you are calculating the amount of mechanical energy used to exert force and move something, you are talking about work being done by a force at a distance. You can describe this in terms of foot-pounds. For example, you want to calculate the energy used to tighten a nut when using a wrench, or to lift a weight from the floor. Mechanical force takes place in time, so to describe the power requirement, you use foot-pounds per second.

Step-by-step explanation:

Answer:

The first triangle can be solved using the triangle sum theorem.

There is a vertical angle, so 75 is the angle at the bottom left. 45 is also a vertical angle. Now we have 75+45+x=180, where x is the missing angle. x is 60.

A straight line = 180 degrees, so 60+79+y, where y is unknown, is equal to 180. y is 41. Now use the triangle sum theorem for the triangle to the right. 41+68+z, where z is unknown, = 180. Z is 71.

Now the last part is to find the question mark. A straight line is 180 degrees, so  71+"?" is 180. Simplify to find that "?" is 109.

Answer:

x = 98

Step-by-step explanation:

If angle D is the center then

x + 4 = 2 × (x - 47)

x + 4 = 2x - 94

4 + 94 = 2x - x

98 = x

Answer:

-4

Step-by-step explanation:

bc the equation is y=mx+b and m is y/x so -4

Answer:

Step-by-step explanation:

4(23ft)($1.12/ft)=$103.04

Answer:

8) 131.118in^3

9) 18cm^3

Step-by-step explanation:

8) Volume of the prism = Length * Width * height

Volume of the prism = 4.1in * 8.2in * 3.9in

Volume of the prism = 131.118in^3

Hence the volume of soil that will fill the prism is 131.118in^3

9)  Volume of the triangular prism = Base Area * Height of prism

Base  Area = 1/2bh

Base  Area = 1/2 * 4 * 3

Base Area = 6cm^2

Height of the prism  = 3cm

Volume of the prism = 6cm^2 * 3cm

Volume of the prism = 18cm^3

Step-by-step explanation:

[tex](a + {b)}^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

Answer:

-2.8

Step-by-step explanation:

Given that:

Mean, μ = 78

Standard deviation, σ = 5

Omar's score, x = 64

The Zscore of Omar's score :

Zscore = (x - μ) ÷ σ

Zscore = (64 - 78) / 5

Zscore = - 14 / 5

Zscore = - 2.8

Hence, Omar's exam score is - 2.8

Answer:

-2.8 is correct

Step-by-step explanation:

Answer:

100/5=b

Step-by-step explanation:

do 100 divided by 5 then that will be your answer, b

Answer: who me?

Step-by-step explanation:

Oh sure thing. XD

Answer:

34.12

Step-by-step explanation:

Plug in the given value (36) for the variable x. Given the order of operations, multiply 36 x 0.80 (which equals 28.8) and add 5.32 (which makes the answer 34.12)

Answer:

3,840

Step-by-step explanation:

Answer:

The volume is 3840

Step-by-step explanation:

12 times 16 times 20. L x W x H

Answer:

Y = 2x - 4

Slope is 2.

Y-intercept is -4.

Step-by-step explanation:

To find slope in standard form, take -A/B. So 6 is A, -3 is B. -(6/-3) = 2.

And to find the y-int, take C/B. C is 12. So, 12/-3 = -4.

Or you could also rearrange the equation. . .

"The number of boys is 45 the number of girls,"

or to say,

"The ratio of the number of boys to the number of girls is 45:1."

This second interpretation reflects the fact that 45 is the unit rate (which is a number) for the ratio 4:5.

Answer:

i think it might be C

Step-by-step explanation:

very sorry if it's wrong

9514 1404 393

Answer:

  126°

Step-by-step explanation:

To find the exterior angle, we need to know one of the acute angles. Those are found using the fact that they are complementary.

  (5x -6) +(3x) = 90

  8x = 96 . . . . . . . . . . . add 6, collect terms

  x = 12 . . . . . . . . . . . . . divide by 8

  3x° = 3·12° = 36° . . . . . . find the "remote" acute angle

  exterior angle = 90° +36°

  exterior angle = 126°

__

The exterior angle is the supplement of the one marked (5x-6)°. It is also the sum of the two remote interior angles, 90° and 3x°. Being lazy, we figure that 90 +3·12 is easier to compute than 180 - (5·12 -6). Either way, the exterior angle is 126°.

Answer:

The answer is "The sequence is recursive and can be represented by the function f(n + 1) = f(n) + f of n plus 1 equals f of n plus 3 Over 8 .." or B

Step-by-step explanation:

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

Convert the mixed fraction number into a fraction number. Then we have

3/8, 3/4, 1 ¹/₈, 3/2, 1 ⁷/₈, ......

3/8, 3/4, 9/8, 3/2, 15/8, ........

The first term of the arithmetic sequence is 3/8. And the common difference of the arithmetic sequence will be given as,

d = 3/4 - 3/8

d = 6/8 - 3/8

d = (6 - 3)/8

d = 3 / 8

The sequence is recursive and can be represented by the function will be f(n + 1) = f(n) + 3/8.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

Answer:

4 in

Step-by-step explanation:

For the smaller figure, we can assume the other missing side is 2 because the area is 4, and area = length*width.

So the area of the larger figure is 4^2, or 16, so then we can assume the x or the two missing sides for the larger figure are 4 beacuse 4*4=16

Answer:

Step-by-step explanation:

(5p)(7q)=35pq

Answer:

The product of five t imes p and 7 times q is just:

5p(7q), which is 42pq

Let me know if this helps!

Answer:

[tex]x\geq -6[/tex]

Step-by-step explanation:

The domain of a function is all of the values that [tex]x[/tex] can be under that specific function. In this case, we're asking what values of [tex]x[/tex] allow [tex]\sqrt{\frac{1}{3} x+2}[/tex] to exist.

In order for square roots to exist, the quantity under the square root must be greater than or equal to [tex]0[/tex], because you can't take the square root of a negative number. Therefore, we can write the following inequality to solve for [tex]x[/tex]:

[tex]\frac{1}{3}x+2\geq 0[/tex]

Solving this inequality, we get:

[tex]\frac{1}{3}x+2\geq 0[/tex]

[tex]\frac{1}{3}x\geq -2[/tex] (Subtract [tex]2[/tex] from both sides of the inequality to isolate [tex]x[/tex])

[tex]x\geq -6[/tex] (Multiply both sides of the inequality by [tex]3[/tex] to get rid of [tex]x[/tex]'s coefficient)

Hope this helps!

Answer:

3x +7x +11=10x+11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Group like terms:

=3x+7x+11

Add similar elements: 3x+7x=10x

=10x+11

Answer:

The answer is x < 16.

Step-by-step explanation:

1) Remove parentheses.

[tex]8 > x - 6 - 2[/tex]

2) Simplify x - 6 - 2 to x - 8.

[tex]8 > x - 8[/tex]

3) Add 8 to both sides.

[tex]8 + 8 > x[/tex]

4) Simplify 8 + 8 to 16.

[tex]16 > x[/tex]

4) Switch sides.

[tex]x < 16[/tex]

Therefor, the answer is x > 16.