An engineering technician makes $25 an hour for the first 40 hours she works
during a week and $32 an hour for each hour over 40 hours. Which piecewise
equation models her total weekly pay y in dollars as it relates to the number
of hours x that she has worked during the week?
O A. y=
O C. y =
(25x
132(x-40)+1000
OB. y=-
OD. y=
[25x
132x+1000
(25x
(32(x-40)
(25x
132x
0≤x≤ 40
x> 40
0≤x≤ 40
x> 40
0≤x≤ 40
x> 40
0≤x≤ 40
X> 40
SUBMIT

The required equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

The slope of a line is expressed as the gradient of the line.

Given that line passes through the points (-9,5), (17,-8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -9, y₁ = 5

x₂ = 17, y₂ = -8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 5 = (-8- 5)/(17-(-9))[x -(-9)]

⇒ y - 5 = (-13)/(26)[x +9]

⇒ y - 5 = -1/2(x +9)

⇒ y = -(1/2)x - 9/2 + 5

⇒ y = -(1/2)x + 1/2

Therefore, the equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

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Using the theories of probability, we got that 0.0260 is the probability  of choosing 4 spades and 2 cards that are not spades and 0.1202 is the probability of choosing 2 red face cards  from a well shuffled deck of 52 playing cards..

We know a deck of 52 playing cards has  13 hearts, 13 clubs, 13 spades,

13 diamonds.

∴  The possibility that she chooses 4 spades and 2 cards that are not spades is,

= ([tex]^1^3C_4[/tex]×[tex]^3^9C_2[/tex])/([tex]^5^2C_6[/tex])

As from the 13 spade cards 4 are chosen, so now we are left with (52 - 4) = 48

and 2 cards that are not spades means out of 9 spades that are left after choosing 4 that is 9 will also be subtracted (48 - 9) = 39.

= (13!/(13 - 4)!×4!)×(39!/(39 - 2)!×2!)/52!/(52 - 6)!×6!

= (13!/9!×4!)×(39!/37!×2!)/(52!/46!×6!)

= (13×12×11×10)/(4×3×2)×(39×38)/2)/(52×51×50×49×48×47)/(6×5×4×3×2)

= (529815)/(20358520)

= 0.026.

Similarly, the probability of choosing 2 red face card is given by

=([tex]^6C_2[/tex]×[tex]^4^6C_4[/tex])/([tex]^5^2C_6[/tex])

=[ [(6! / (2!.4!)] × [46! / (4!.42!)] ]/ [52! / (6!.46!)]

=(15×163185)/20358520

=0.1202.

Hence, the probability of choosing 4 spades and 2 cards by carrie that are not spades is 0.026 and the probability of choosing 2 red face cards by carrie is 0.1202.

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Answer:

b = 10.06 in

Step-by-step explanation:

Formula we use,

→ (AC)² = (BC)² + (AB)²

Now the value of a will be,

→ (10.5)² = b² + (3)²

→ 110.25 = b² + 9

→ b² = 110.25 - 9

→ b = √101.25

→ [ b = 10.06 in ]

Hence, value of b is 10.06 in.

There is a 136.13 probability that 3 won't increase.

Only 0.65% of seeds will grow into robust plants.

There is a 0.35 probability that a seed won't grow into a robust plant.

In this case, n = 12 and r = 3.

11 seeds will sprout if 1 seed doesn't germinate. Raising 0.65 to the power of 11 and 0.35 to the power of 3 will result in the following: 11 seeds develop, and we use the 11th power; 3 seeds do not grow, so we use the power of 3:

So, the response is:

[tex]{}^{12}C_3[/tex] × [tex]{(chance of successful growth) }^{11}[/tex]x [tex](chance of Unsuccessful growth)^3[/tex]

= [tex]{}^{12}C_3[/tex] × [tex]0.65^{11}[/tex] × [tex]{0.35}^3[/tex]

= 362880 × 0.008750 × 0.042875

= 136.13

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Slope between the points (-10, 5) and (14,-3) is -1/3.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find slope between points (-10, 5) and (14,-3)

m=-3-5/14+10

m=-8/24

m=-1/3

Hence, slope between the points (-10, 5) and (14,-3) is -1/3.

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Answer:

d is correct

Step-by-step explanation:

[tex].25p = 10[/tex]

[tex]p = 40[/tex]

So d is correct.

Answer:

B No solution

Step-by-step explanation:

3(x+ 4) = 3x + 4  Distribute the 3

3(x) + 3( 12) = 3x + 4

3x + 12 = 3x + 4   There is not number that I can multiply by 3 and then add to 12 on one side and add to 4 on the other side of the equal sign to make a true statement, so the answer is no solution.

3x + 12 = 3x +4  Subtract 3x from both sides

12≠4.  A false statement means no solution.

When the equation is simplified and the coefficient of the variable (the number before the letter) is the same on both sides of the equation and the constraints (the numbers without letters) are different, this will result in no solution.

Answer:

Equivalent

Step-by-step explanation:

The equation is equivalent because they are just written the other way around although if you were to rewrite them both they would both be 9x+7

Expressions 9x+7 and 7+9x are equivalent and the equation has infinitely many solutions.

An expression is combination of variables, numbers and operators.

The expressions 9x+7 and 7+9x are equivalent because they have the same terms, although the order of the terms is different.

Let us check their equivalence.

9x+7 = 7+9x (commutative property of addition)

9x = 9x (subtract 7 from both sides and subtract 9x from both sides)

Both expressions simplify to the same thing, which means they are equivalent.

In terms of an equation, if we set these two expressions equal to each other, we get:

9x+7 = 7+9x

Simplifying this equation gives:

9x - 9x = 7 - 7

0 = 0

This means that the equation has an infinite number of solutions, since any value of x will satisfy.

Hence, expressions 9x+7 and 7+9x are equivalent and the equation has infinitely many solutions.

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Answer:

2 , 3 , 4

Step-by-step explanation:

Corresponding angles:  When two parallel lines are intersected by a transversal, the angles on the same side and same position of the transversal are same.

            ∠3 = ∠1

Vertically opposite angles: When two lines intersect, the opposite angles are congruent.

             ∠2 = ∠1

            ∠4 = ∠3

So, ∠1 = ∠2 = ∠3 = ∠4 = 60°

Answer: x=3

Step-by-step explanation:

Simplify equation to get 8x=24. Divide 24 by 8 to get x=3. Please give brainliest :D

Answer:

Step-by-step explanation:

First add 17 to both sides to isolate the variable (usually the one with the bigger coefficient is best)

subtract 15x from both sides to combine 23X and 15X terms

Divide by 8 to solve

Answer: 264.5

Step-by-step explanation:

(-81.7) + 346.2

346.2 - 81.7 = 264.5

Answer:

Slope is equal to the change in y y over the change in x x, or rise over run. m = change in y change in x m = change in y change in x. The change in x x is equal to the difference in x-coordinates (also called run ), and the change in y y is equal to the difference in y-coordinates (also called rise ). m = y2 −y1 x2 −x1 m = y 2 - y 1 x 2 - x 1.

Answer:

Yes.

Step-by-step explanation:

To decide if these triangles are similar, we need to check 2 criteria. The first is that the angles are all the same as their corresponding angles on the other triangle, which is true. The second is to check if the sides are all in the same proportional relationship. To do this, we need to put 40/50, 40/50, and 16/20 to see if they simplify to the same fraction (which is the proportion.) 40/50 and 40/50 simplify to the same fraction, 4/5. 16/20 also simplifies to 4/5, so the sides are all in the same proportion, which means the shapes are similar.

Answer:

-.5

Step-by-step explanation:

u=2+-2.5=.5

The correct answers are His sample was not drawn at random ,he ought to purchase more fat-free donuts, he may look at the data's histogram to see whether it is roughly typical.

Given that, Bjorn is attempting to calculate the difference between the average sugar level of two distinct kinds of donuts: a fat-free kind and a full-fat variety.

He gathers 60 donuts to test in order to do this: There are 22 fat-free donuts and 38 full-fat donuts. The correct answers are A, D and E He did not get a random sample He should get more fat free donuts He could check the histogram of the data to see if it's approximately normal

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The sample of study is 100 business.

An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values. A sample is that precise value. The probability distribution of the random variable determines the possible values and the likelihood of each. A sample is a condensed, controllable representation of a larger group. It is a subgroup of people with traits from a wider population. When population sizes are too big for the test to include all potential participants or observations, samples are utilized in statistical testing.

Given,

Snoopy brown is interested in the number of businesses that do not allow dogs in st. paul, mn. to conduct his study, he randomly selects 100 businesses listed in the st. paul phone book, calls them and asks their policy.

The sample of study is 100 business.

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He can wear 24 different  outfits can he wear to school .

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining these two words indicates "Selection of things," where the order of the items is irrelevant.

Given:

Juan owns 8 pairs of pants, 1 shirt, 3 ties and  1 jacket

So, number of outfits can he wear to school is

= 8 x 1 x 3 x 1

=24

Hence, he can wear 24 different  outfits can he wear to school .

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The mean absolute percentage error is 33.3%

The mean absolute percentage error measures the forecast accuracy by determining how well a particular forecasting method is able to reproduce the time series data that are already available.

This method is referred to as the forecasts of accuracy, which help to measure the number of errors that are in a former forecast.

Then this would factor these errors into a new forecast while making adjustments to the new forecast.

Forecasted sales were $4,000

Actual sales were $3,000

Absolute error = |Actual sales - Forecasted sales|

                        = |3,000-4,000|

                        = 1000

Mean Absolute error percentage = (Absolute error / Actual sales) *100%

                                                       =(1000/3000)*100

                                                       = 33.33%

Hence, The Mean Absolute error percentage is 33.3%

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The approximate length of each side of the box is 18 inch.

The distance between the center of the sphere and any plane passing through it is known as the circumference. Any large circle that passes through a point known as a pole is called a meridian. The shortest path between any two points on a sphere called a geodesic. The space around a circle is known as its circumference. By calculating the distance required to walk around the globe, we may determine the size of the earth's circumference.

The circumference of a circle or other curved geometric object refers to its length. It is the boundary across any two-dimensional circular surface measured linearly in one dimension.

Given,

Circumference of circle = 56.5

c = π diameter

diameter = 3.14 × 56.5

diameter = 18

The approximate length of each side of the box is 18 inch.

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The unit rate for $210 of 17 ft² rounded to the nearest hundredth is equal to 12.

A conversion factor simply refers to a number that is typically used to convert a number in one (1) set of units to another, either by dividing or multiplying.

Generally speaking, an appropriate conversion factor to an equal numerical value must be used when it is necessary to perform any mathematical conversion.

Conversion:

210 dollars = 17 square feet.

x dollar = 1 square feet.

Cross-multiplying, we have:

17x = 210

x = 210/17

x = 12.35 ≈ 12

Therefore, the unit rate is equal to 12.

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The value after solving the expression will be equal to 6.5.

The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

From the data in the question,

The expression is,

2 - (-4.5)

⇒ 2 + 4.5

= 6.5

Therefore, the result for the expression is 6.5.

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Answer:

Food desert census tracts typically have fewer populations than all other census tracts, a higher percentage of unoccupied or abandoned dwellings, and residents who are less likely to have a college degree, make less money, or be employed.

The null hypothesis is rejected thus there is a significant difference in the incidence of lung cancer in all four groups.

When the p-value is less than 0.05, the null hypothesis that there is no difference between the means is rejected, and we come to the conclusion that there is a significant difference. The existence of a significant difference cannot be inferred if the p-value is higher than 0.05.

The null hypothesis in the given scenario was that all four groups will have the same incidence rate of lung cancer which is rejected.

An assertion that there is no correlation between two population measures is referred to as a null hypothesis. To prepare the ground for additional experimentation or study that explains the position of interest, researchers reject or refute the null hypothesis.

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Answer:

24

Step-by-step explanation:

2(x-3)

2(15-3)

2(12)

24

Hopes this helps please mark brainliest

Answer:

24

Step-by-step explanation:

2(x - 3)

==> plug in x = 15

2(15 - 3)

==> subtract 3 from 15

2(12)

==> multiply 2 and 12

=24

Remember we evaluate using pemdas

Parenthesis

Exponents

Multiplication and Division (going left to right)

Addition and Subtraction (going left to right)

This is the order of operations we use to determine which operation we perform. Here we first used "parenthesis" and did all operations inside of the parenthesis. We then ended with multiplication

Answer:

A

Step-by-step explanation: Rise/run. is important

it goes up 4 and then over 6 and so we have to simplify which is 2/3 and snice it is going down it is negitive.

Answer:

y=-4x-4

Step-by-step explanation:

we know the slope so put it in the slope intercept form

y=-4x

Now fill it in to find y intercept with the coordinates

0=-4(-1)

0=4

We need to subtract 4 to make this equation true so the y intercept is -4

The equation will become

y=-4x-4

Hopes this helps please mark brainliest

Answer:

Step-by-step explanation:

can’t be determined

The expression that represents the distance between -3/4 and -0.2 on a number line is |-3/4 + 0.2|

The distance between points on a number line is the number of units or points between these points

From the question, we have the following parameters that can be used in our computation:

Distance between -3/4 and -0.2 on a number line

This means that

Endpoints = -3/4 and -0.2

These endpoints can be represented as

Endpoint 1 = -3/4

Endpoint 2 = -0.2

The distance between these endpoints is then calculated as

Distance = |Endpoint 1 - Endpoint 2|

Substitute the known values in the above equation, so, we have the following representation

Distance = |-3/4 - -0.2|

Evaluate the difference

Distance = |-3/4 + 0.2|

Hence, the distance expression is |-3/4 + 0.2|

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