which graph represent the liner function y= -5x + 2?

A
B
C
D

If the probability will be 0.7842. Then the number of students who scored between 200 and 245 will be 941.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18.

Then the number of students who scored between 200 and 245 will be

Then the z-score for x = 200

[tex]z = \dfrac{200-225}{18}\\\\z = -1.389[/tex]

Then the z-score for x = 245

[tex]z = \dfrac{245-225}{18}\\\\z = 1.1111[/tex]

Then we have

[tex]\begin{aligned} P(-1.39 < z < 1.11) &= P(z < 1.11) - P(z < -1.389)\\\\&= P(z < 1.11)- [1-P(z > -1.389)] \\\\&=0.8665 - (1-0.9177) \\\\&=0.7842 \end[/tex]

Then the number of students who scored between 200 and 245 will be

→ 0.7842 × 1200

→ 941.04 ≅ 941

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Answer:

0.16

Step-by-step explanation:

AND = Probability(of 1)*Probability(of 2)

OR = Probability(of 1)+Probability(of 2)

probability of spinning red = 0.2 or 20%

probability of NOT spinning red = 0.8 or 80%

The question says "AND" so 0.2 * 0.8 = 0.16 or 16%

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Answer:

[tex]\textsf{C)}\quad g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]

Vertex = (8, -8)

Step-by-step explanation:

Standard form:  [tex]y=ax^2+bx+c[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

Intercept form:  [tex]y=a(x-p)(x-q)[/tex]

where p and q are the x-intercepts

Therefore, the form that most quickly reveals the vertex is

[tex]g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]

The vertex is (8, -8)

Answer:

Alleles because genes come in all different varieties.

I Hope This Helps!!!

Answer:

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Answer:

[tex]r = 2km[/tex]

Step-by-step explanation:

Area =

[tex]area = \pi {r}^{2} [/tex]

[tex]12.56 = 3.14 \times {r}^{2} [/tex]

[tex] {r}^{2} = \frac{12.56}{3.14} [/tex]

[tex] {r}^{2} = 4[/tex]

[tex]r = \sqrt{4} [/tex]

[tex]r = 2km[/tex]

Answer:

(2, 5 )

Step-by-step explanation:

y = 2x + 1 → (1)

3y = 4x + 7  → (2)

substitute y = 2x + 1 into (2)

3(2x + 1) = 4x + 7 ← distribute parenthesis on left side

6x + 3 = 4x + 7 ( subtract 4x from both sides )

2x + 3 = 7 ( subtract 3 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

substitute x = 2 into (1) for corresponding value of y

y = 2(2) + 1 = 4 + 1 = 5

solution is (2, 5 )

Answer:

B. 1/4

Step-by-step explanation:

We can use the distance = rate ⋅ time formula to find the distance Lee traveled. The formula d = rt looks like this when we plug in the numbers from the problem. The unknown distance is represented with the variable d. To find d, all we have to do is multiply 65 and 2.5.

Answer:

Here is the ans...Hope it helps :)

Answer:

Your answer given is that a great common factor of the monomials shown below 6x^4 y^3 z^4 22xy^3

A said Given 66x^4 y^3 z^4

B said Given 2x^4 y^3 z^4

C said Given 66x^5 y^6 z^7

D said Given 2xy^3 z^3

my answer is that C. 66x^5 y^6 z^7

because it greatest common factor

Answer:

30 ft

Step-by-step explanation:

since they're both feet no conversion is needed

multiply the model to scale (5) to find actual

6 * 5 = 30

your answer is 30 ft.

hope this helps:)

Answer:

Step-by-step explanation:

Count the number of scores greater than 65

Total number is

Note: none of answer choices reflect this

Answer:

68 student hope that helps

Answer:

A. a = -3 and b = 7.

B. x = -4 or x = 7.

Step-by-step explanation:

A)

f(0) = 0^2 + a(0) + b =  7

So b = 7.

f(-2) = (-2)^2- 2a + 7 = 17

4 - 2a = 17 - 7

4 - 2a = 10

-2a = 10 - 4 = 6

-2a = 6/-2

a = -3.

B)

Substituting a = -3 and b = 7 we get:-

x^2 - 3x + 7 = 35

x^2 - 3x - 28 = 0

(x - 7)(x + 4) = 0

x - 7 = 0 or x + 4 = 0

x = -4 or x = 7.

b. 55.722

Step-by-step explanation:

1850/3320

I assume that you know what the question is asking to solve for.

The net profit margin for Korey's Comics is 42.5%.

Option A is the correct answer.

Profit is the difference between the selling price and the cost price.

We have,

Net profit margin is calculated by dividing net income by net sales and multiplying the result by 100 to get a percentage.

Net Profit Margin = (Net Income / Net Sales) x 100%

Substituting the given values.

Net Profit Margin = (1,850 / 4,350) x 100%

Net Profit Margin = 0.425 x 100%

Net Profit Margin = 42.5%

Therefore,

The net profit margin for Korey's Comics is 42.5%.

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Explanation:

The diameter is 64 yards

Divide it in half to get 64/2 = 32 yards as the radius.

Plug it into the formula below to get the area of the circle.

A = pi*r^2

A = 3.14*32^2

A = 3215.36

The area of the circle is approximately 3215.36 square yards.

The area is approximate since pi = 3.14 is approximate.

Answer:

0.7 miles

1.4 miles

Step-by-step explanation:

Distance of the first bench from the path = 1/3 x 2.1 miles = 0.7 miles

Distance of the second bench from the path = 2/3 x 2.1 miles = 1.4 miles

Answer:

Driving Distance : 569 KM and 398 meters / 353.8 miles.

Straight Line Distance : 467 KM and 700 meters / 290.6 miles.

Travel time : 11 hours and 19 minutes.

Direction and bearing : South side, 159 degree.

Step-by-step explanation:

The reason why Americans have lower levels of magnesium than health experts recommend is because of the prevalence of processed food.

The nutrients in food are those components of food that serve the purpose of nourishing our body. The nutrients present in processed food are different from those present in natural food.

Since many Americans eat a lot of processed instead of natural food, they often lack magnesium which is often absent in processed food.

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Answer:

here,comparing the corresponding elements,

2x = 32 3y = 81

or x = 32/2= 16 or y = 81/3 = 27

x = 16

y = 27

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If the area of the carpet will be 301 square feet. Then the cost of the carpet will be $ 752.5.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezium, one pair of opposite sides are parallel.

The owner of a sports complex wants to carpet a hallway connecting two buildings.

The diagram is given below.

The carpet costs $2.50 per square foot.

The area of the carpet will be given by the area of the trapezium.

Area = 1/2 (24 + 28) x 7 + 1/2 (15 + 19) x 7

Area = 0.5 x 52 x 7 + 0.5 x 34 x 7

Area = 182 + 119

Area = 301 square feet

Then the cost of the carpet will be

Cost of carpet = $ 2.5 x 301

Cost of carpet = $752.5

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The other number if the average of two numbers is 41 and one is 27 is 55

Average of number is also known as the mean.

Let the unknown number be "x" such that:

x +27/2 = 41

Determine the value of x

x + 27 = 2(41)
x + 27 = 82
x = 82 - 27

x = 55

Hence the other number if the average of two numbers is 41 and one is 27 is 55

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Ruth can visit US Bureau of Labor Statistics website so that she could know more about those careers.

career can be regarded as a profession that individuals choose to follow in his lifetime and this his occupation.

Therefore, in choosing a career , one needs to equip himself with information about it, he can visit Bureau of Labor Statistics.

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Answer:

visit the US. Bureau of Labor Statistics website to find information on both careers and the career section

Step-by-step explanation: well i know it right because i just answered it correct

Answer:

d. 0.771.

Step-by-step explanation:

This probability is equal to the area other than the green triangle divided by the total area of backyard.

Total area = 120^2 = 14400

Area of green triangle = 1/2 * 120 * 55 = 3300

So area of the part of yard not covered by the triangle = 14400 - 3300

and the required probability =  (14400 - 3300) / 14400

= 0.771.

Answer:

d. 0.771

Step-by-step explanation:

What is probability?

Probability is the likelihood of the occurrence of something.

In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.

Understanding the question

Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.

So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle

Finding the areas

Area of square

Area of square = (side length)²

the square shown has a given side length of 120ft

So area = 120² = 120 × 120 = 14400

Area of triangle

Area of a triangle = (base length × height) / 2

Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet

So area would = ( 120 × 55 ) / 2 = 3300

Finding the probability

Again we want to find the probability that a ball thrown in the square will not land in the triangle

This can be calculated using the probability formula we created earlier

probability = ( area of square - area of triangle ) / area of square

we have area of square = 14400 and area of triangle = 3300

so probability = (14400 - 3300) / 14400

==> subtract 3300 from 14400

probability = 11100 / 14400 = 0.771 ( rounded )

And we are done!

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Going by the information given above, Laura is most likely going to belong to the tax bracket where the rate payable is 12%. This is because she is a single filer and her income is between $10,276 and $41,775.

Tax brackets are a series of income and tax layers by which people are defined based on how much they earn per annum.

The tax rates range from 10% to 37%. The rate applicable to a person or group of persons depends on

It is to be noted that a general answer was provided here due to insufficient details in the question.

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Answer:

The one on the top right

Step-by-step explanation:

first, look at the y-intercept:

two of the graphs (top-right and bottom-left) have the correct y-intercept of (0, -1).

(The y-intercept is 0 and then the last term of the equation in this form)

next, look at the slope:

slope is in the form of rise/run

the slope for this equation is 3, or 3/1

so look at the graphs, find the y-intercept point and go up three cells and over one.

Only one of the graph's lines goes through this point, and that is the top-left one

14/7 is greater than 1/2

Sure hope this helps you

Answer:

50

Step-by-step explanation:

This is the equation:
x = 5 + 3y
We know that:
x - y = 35

Meaning we only need to solve for y now:

(5 + 3y) - y = 35
5 + 2y = 35
2y = 30
y = 15

Meaning the final formula is

x = 5 + 3(15)
x = 50

Let's set some variables before we solve:

Okay's lets read the question

           ⇒ [tex]x = 3y +5[/tex]

               ⇒ [tex]x-3y=5[/tex]

           ⇒ [tex]x - y = 35[/tex]

Let's put the two equations together and solve

  [tex]x-3y=5 --equation1\\[/tex]

  [tex]x-y=35 -- equation2[/tex]

 (equation2) - (equation1)

  [tex]2y = 30\\y = 15 -- equation 3[/tex]

  (equation 3)'s value of y into (equation2)

  [tex]x - 15= 35\\x = 50[/tex]

Thus: [tex]x = 50[/tex] and [tex]y = 15[/tex]

The larger number is 50

Answer: 50 or Choice 3

Hope that helps!