if g(x)=x²-2 and p(x)=2x+3, find (g·p)(x)

Answer:16'3

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

The probability of B can be any value between 0 to 1 which is option C .

What is probability ?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given : P(A) = 0.6

The fact that the events are independent shows we can just multiply the probabilities of the events not happening together:

P(not A and not B) = P(not A) x P(not B) = (1–0.6) x (1–0.4) = 0.24

probabilities checking  is done by the fact that all possible outcomes sum to 1:

P( A and B) = 0.6 x 0.4 =0.24

P(A not B) =0.6 x (1–0.4) = 0.36

P(B not A) =(1–0.6) x 0.4 = 0.16

0.24 + 0.36 + 0.16 + 0.24 = 1

Hence , the probability of B can be any value between 0 to 1 which is option C .

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If 6 ounces of fish has 36 grams of protein, then the fish has 6 grams of protein per ounce.

To find the weight of protein per-ounce, we divide total number of grams of protein by the total number of ounces of fish.

We know that 6 ounces of fish has 36 grams of protein, so to find the number of grams of protein per ounce, we divide the total number of grams of protein by the total number of ounces;

⇒ grams of protein per ounce = (total grams of protein)/(total ounces of fish),

The total number of grams of protein is = 36, and the total number of ounces of fish is 6,

So, grams of protein per-ounce = 36/6 = 6,

Therefore, the fish has 6 grams of protein per ounce.

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The given question is incomplete, the complete question is

If 6 ounces of fish has 36 grams of protein, then the fish has ____ grams of protein per ounce.

Answer:D

Step-by-step explanation:

On this one, you would have to pick a set of points (I picked 0, 3 )

and then change it to match the translation of 4 units down which would then make it (0, -1)

After that, you would have to graph each equation and see which one matches up with your new data point.

Answer:

the answer is C, I got it too from the website, I got the answer from it

Answer:

1678.95

Step-by-step explanation:

Answer: Let's use a Venn diagram to solve this problem.

First, we know that 612 students like football, 540 students like volleyball, and all students like at least one game. This means that there is some overlap between the two groups in the Venn diagram.

Let x be the number of students who like both games. Then, the number of students who like only football is 612 - x, and the number of students who like only volleyball is 540 - x.

Since all 900 students like at least one game, we can add up the number of students in each of these three groups and set the sum equal to 900:

(612 - x) + x + (540 - x) = 900

Simplifying the left side of the equation gives:

1152 - 2x = 900

Subtracting 1152 from both sides gives:

-2x = -252

Dividing both sides by -2 gives:

x = 126

Therefore, 126 students like both football and volleyball.

To find the number of students who like only football, we can substitute x = 126 into the expression 612 - x:

612 - 126 = 486

Therefore, 486 students like only football.

Step-by-step explanation:

Answer: C $6.60

Step-by-step explanation:

46.20 ÷ 7 = 6.6

So Shana should be saving $6.60 every week.

Answer:  

31 is prime. and it’s prime factorization is just 31....

Step-by-step explanation:

Answer:

x = 20

Step-by-step explanation:

2 + 3x = 62

3x = 60

x = 20

Answer

15. 12/25

Step-by-step explanation:

Because the surface value of this question

The equation h(t) = -16t² + 24t is an illustration of a quadratic model

The equation that represents the path of the kick ball is given as

h(t) = -16t² + 24t

The fielder catches the ball at a height of 3 ft above the ground.

This means that:

h(t) = 3

So, we have:

-16t² + 24t = 3

Hence, the equation when the fielder catches the ball is -16t² + 24t = 3

In (a), we have:

-16t² + 24t = 3

Rewrite as:

-16t² + 24t - 3 = 0

Next, we determine the solutions of -16t² + 24t - 3 = 0 using a graphing technology

From the graph (see attachment), we have the following solutions

t = 0.14 and t = 1.36

Hence, the fielder will catch the ball after 0.14 seconds or 1.36 seconds

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Answer:

The distance would be 6.7 or 3✓5

Step-by-step explanation:

Im sure there's a faster way to find this, but I'm in 8th grade sooo yeah.

First things first we can use the equation

d=✓(X2-X1)*2+(Y2-Y1)*2

X2= 8

X1= 5

Y2= 13

Y1= 7

From here, you plug in the values and do as followed. You subtract the values to get the answer. For example 8-5 would get us (3)*2.

From here you square the 3 to get 9. You also do the same to the right side of the equation.

Now you have d=✓(3)*2 + (6)*2

From here you square it and you get d=✓9+36

Now we have: d✓45

Now we square the 45 to get 6.7082..., but we round the answer to get 6.7!

Hope this helps! If you have any questions please feel free to ask, as I understand the struggle of math! :)

Answer:

the distance would be 6.7

Step-by-step explanation:

Answer:

M is the gradient of the line and b is the y-intercept or where the line cuts the y-axis and the x is zero at the point

Step-by-step explanation:

The predicted rating for a brand that costs $3.00 per bag is 7.

To predict the rating of a brand that costs $3.00 per bag using the given regression model, we can substitute the price value into the equation and calculate the predicted rating.

The regression model equation is:

Rating = Constant + Coefficient * Price

From the given computer output, the constant (intercept) is -0.39, and the coefficient for price is 2.52.

Substituting the price value of $3.00 into the equation:

Rating = -0.39 + 2.52 * 3.00

Calculating the expression:

Rating = -0.39 + 7.56

Rating = 7.17

Rounding the predicted rating to the nearest whole number:

Predicted rating ≈ 7

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The  ratio of the volume of the cone to the volume of the cylinder is approximately 0.33 : 1 (rounded to the nearest hundredth).

The volume of the cone can be calculated using the formula:

V = (1/3)πr^2h

where r is the radius of the cone and h is the height of the cone. Substituting the given values, we get:

V = (1/3)π(3)^2(11) = 103.67 cubic feet

Therefore, the volume of the cone is 103.67 cubic feet (rounded to the nearest hundredth).

To find the radius of the cylinder, we can use the formula for the volume of a cylinder:

V = πr^2h

where r is the radius of the cylinder and h is the height of the cylinder. We are given that the volume of the cylinder is 310.86 cubic feet and that the height is 11 feet, so we can solve for r:

310.86 = πr^2(11)
r^2 = 310.86 / (11π)
r ≈ 2.3 feet

Therefore, the radius of the cylinder is approximately 2.3 feet (rounded to the nearest hundredth).

The ratio of the volume of the cone to the volume of the cylinder is the volume of the cone divided by the volume of the cylinder. Using the values we calculated, we get:

V(cone) / V(cylinder) = 103.67 / 310.86 ≈ 0.33 : 1

Therefore, the ratio of the volume of the cone to the volume of the cylinder is approximately 0.33 : 1 (rounded to the nearest hundredth).

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Answer:

A. The rate of change of the cost of the taxi ride is $3.00 per minute.

Step-by-step explanation:

The number of ways to have 3 hearts and 2 diamonds in a 5 card hand is 286 * 78 = 22,308 ways.

The number of ways to choose 3 hearts from the 13 available hearts is given by the binomial coefficient C(13,3). The number of ways to choose 2 diamonds from the 13 available diamonds is given by C(13,2). The total number of ways to choose 3 hearts and 2 diamonds from the deck of 52 cards is the product of these two binomial coefficients: C(13,3) * C(13,2).

i.e.

There are 13 hearts and 13 diamonds in a deck of 52 cards.

To choose 3 hearts, we have C(13,3) = 13!/(3!(13-3)!) = 286 ways.

To choose 2 diamonds, we have C(13,2) = 13!/(2!(13-2)!) = 78 ways.

Therefore, the number of ways to have 3 hearts and 2 diamonds in a 5 card hand is 286 * 78 = 22,308 ways.

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The probability that a randomly selected student scored less than 82 is 0.9192 or 91.92% (rounded to two decimal places).

To find the probability that a randomly selected student scored less than 82 on an exam with a normally distributed test scores, a mean of 75, and a standard deviation of 5, you need to calculate the z-score and use a standard normal table or calculator.

The z-score formula is: (X - mean) / standard deviation

In this case, X = 82, mean = 75, and standard deviation = 5.

Z-score = (82 - 75) / 5 = 7 / 5 = 1.4

Now, use a standard normal table or calculator to find the probability associated with the z-score of 1.4. You'll find that the probability is approximately 0.9192.

To express this probability as a percentage, multiply by 100: 0.9192 * 100 = 91.92%

So, there's a 91.92% chance that a randomly selected student scored less than 82 on the exam.

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In high-dimensionality data settings, sample size and statistical power considerations play a crucial role in the performance and effectiveness of classification algorithms. Sample size refers to the number of observations or data points available for analysis in a dataset.

In such settings, where the number of variables or features is large, the sample size becomes even more important. With a limited sample size, there is a risk of overfitting, where a model performs well on the available data but fails to generalize to new, unseen data.

This is because the model may be capturing noise or random fluctuations in the data rather than true patterns or relationships.

Statistical power refers to the ability of a statistical test to detect an effect or relationship if it truly exists in the population. In high-dimensional settings, statistical power can be compromised due to the "curse of dimensionality."

As the number of variables increases, the amount of data required to achieve a desired level of statistical power also increases.

To address these challenges, researchers often employ techniques like cross-validation and resampling to estimate model performance and assess the robustness of the results.

Additionally, feature selection or dimensionality reduction methods can be used to reduce the number of variables and improve the sample size to variable ratio.

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Wendy should review her own work, observe her colleagues, ask for feedback from her peers, and ask for feedback from her manager.

To enhance her chances of getting a promotion, Wendy can take several steps to improve her performance and demonstrate her readiness for advancement. First, she should review her own work critically and assess areas where she can enhance her skills or knowledge. This self-reflection allows her to identify any weaknesses and take proactive steps to address them.

Second, Wendy can observe her colleagues who have succeeded in similar positions or have received promotions. By observing their work habits, techniques, and approaches, she can gain valuable insights and learn from their experiences. This can help her refine her own strategies and adapt successful practices.

Third, seeking feedback from her peers is crucial. Wendy can request constructive criticism from colleagues who have worked closely with her. Their input can provide valuable perspectives on her strengths and areas for improvement. Actively listening to their feedback and incorporating it into her work can help her grow professionally and increase her chances of promotion.

Lastly, Wendy should seek feedback from her manager. Direct communication with her manager allows her to gain specific insights into what the organization values in a potential candidate for promotion. Wendy can discuss her career aspirations, seek guidance on areas to focus on, and demonstrate her commitment to professional growth. Building a strong rapport with her manager can also increase her visibility within the organization and enhance her chances of being considered for promotion.

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Answer:

-20u + 12y + 4

Step-by-step explanation:

We have the equation -4(5u - 3y - 1) and are asked to use the distributive property to remove the parenthesis.

When using the distributive property, you have to multiply the number outside the parenthesis to all numbers inside the parenthesis, do as followed :

-4(5u - 3y - 1)

(5u(-4) -3y(-4) -1(-4))

-20u + 12y + 4

Photo please? and a function means that it cant have the same number of x axis'

example,

function;

15  6

-46  37

36  -37

27  -25

not a function;

-1  3

5  7

-5  6

-1  8

Answer:

A,b,c

Step-by-step explanation:

Answer:

cindy is 51

Step-by-step explanation:

70 divided by 2 is 45

45+ 6 is 51

The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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Answer:

from Ron to Bill from Bill to John the ball traveled about 80 yd

Step-by-step explanation:

Ron 30 yd from John

Bill 40 yd away from John

Bill 10 yd away from John

Answer:

Pretty sure it's B.

Step-by-step explanation:

The solution of given equation 10 ax + 11 ax = 12ax +45 is x = 5/a.

The correct answer is an option (B)

"It is a statement which consists of equal symbol between two mathematical expressions."

For given example,

We have been given an equation 10 ax + 11 ax = 12ax + 45

We need to solve given equation for x.

Assuming a ≠ 0,

⇒ 10 ax + 11 ax = 12ax +45

⇒ (10 + 11) ax = 12 ax + 45             ...............(Separate out common terms)

⇒ 21 ax = 12 ax + 45

⇒ 21 ax - 12 ax = 12ax + 45 -12 ax   ...........(Subtract 12 ax from each side)

⇒ (21 - 12) ax = 45                          ...............(Separate out common terms)

⇒ 9 ax = 45

⇒ 9ax/9a = 45/9a                             ..............(Divide both the sides by 9a)

⇒ x = 5/a

Therefore, the solution of given equation 10 ax + 11 ax = 12ax +45 is x = 5/a.

The correct answer is an option (B)

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The probability of 0 non conforming units is 0.47.

To find the probability of 0 non conforming units, we can use the fact that the sum of the probabilities of all possible outcomes is equal to 1. Therefore,

P(0 non-conforming units) = 1 - P(1 non-conforming unit) - P(2 non-conforming units)

We are given that P(1 non-conforming unit) = 0.38 and P(2 non-conforming units) = 0.15. Substituting these values into the equation, we get:

P(0 non-conforming units) = 1 - 0.38 - 0.15

P(0 non-conforming units) = 0.47

Therefore, the probability of obtaining 0 non-conforming units is 0.47.

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