I dont understand pls help me

Answer:

b= 4 in.

Step-by-step explanation:

Ok. So the area of a triangle is base * height divided by 2.

So, the base is b and the height is 3b.

b*3b= 3b^2.

Now, divide that by 2.

(3b^2)/2.

Now, we know what the area is already- 24 in.^2. So, let's set the area expression that I found earlier equal to this area, since they're the same.

(3b^2)/2 = 24

3b^2 = 48

b^2 = 16

Ok. Let's stop here. Now, we square root both sides to obtain b, but we are presented with a problem here. B can equal both 4 and -4 right? Since -4*-4=16 and 4*4=16. However, it is impossible for a 2d shape to have negative measurements. So, the answer is 4.

Answer:

+4 in

Step-by-step explanation:

A= 1/2 x b x h

24=1/2 x b x 3b

b2=16

b=+4 or -4(N/A)

Answer:

The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal is 20 times

Step-by-step explanation:

The given information are;

For the Lazarus' Boat Rentals company

The yearly charges by Lazarus' boat company = $105

The charge each time a member rents  a boat  = $9.50

For the Robert's Boat Rentals company

The yearly charges by Robert's boat company = $0

The charge each time a member rents  a boat  = $14.75

Let the number of times required before the charges for both Lazarus' Boat Rentals company and Robert's Boat Rentals company to be equal, we have;

$105 + $9.50 × t = $14.75 × t

∴ t = $105/($14.75 - $9.50) = 20 times

The number of times a person would need to rent a boat for Lazarus' and Robert's charges to be equal = 20 times.

there 90 men and 30 women in the class

The question isn't very clear. We woud be assuming:

The total number of men and women in the class = 120

The variables:

let the total number of men = m

let the total number of women = w

fraction of men with beards = three fifth = 3/5 of m

fraction of men without beards = 1 - 3/5 = 2/5 of m

fraction of women with long hair = 2/3 of w

fraction of women without long hair = 1- 2/3 = 1/3 of w

We are told 46 of them are not in the group stated above. We will take it as 46 men and women are not in the group above.

This means the fraction of men without beards and fraction of women without long hair are altogether = 46

46 = 2/5 of m + 1/3 of w

46 = 2m/5 + w/3 ....equation 1

The number of men and women in the group = 120 -46 = 74

74 = 3/5 of m + 2/3 of w

74 = 3m/5 + 2w/3 ....equation 2

Multiply equation 1 by 2:

92 = 4m/5 + 2w/3 ....equation 1

74 = 3m/5 + 2w/3 ....equation 2

subtract equation 2 from 1:

92 - 74 = 4m/5 - 3m/5 + 2w/3 - 2w/3

18 = m/5

5(18) = m

m = 90

Substitute the value of m in any of the equation. Using equation 2:

74 = 3(90)/5 + 2w/3

74 = 54 + 2w/3

74 - 54 = 2w/3

20 = 2w/3

cross multiply:

3(20) = 2w

60 = 2w

60/2 = w

w = 30

Therefore, there 90 men and 30 women in the class

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

Answer:

The answer and work are in the pdf

Step-by-step explanation:

Answer: A. The majority of the math scores are greater than the median of the science scores

Step-by-step explanation:

I took the test!

Answer:

Step-by-step explanation:

If the lengths of two sides of a triangle are given the third side must be less than the sum of those two sides, but more than the value of the difference between the given two sides.

So for #9, the answer is 4 (which is 12-8) <x<16 (which is 12+8)

#10. 10<x<16

#11. 19<x<61

#12. 6<x<16

Below are what would happen if the 3rd side was too big (left) or too small (right)

Answer:

25 degrees

Step-by-step explanation:

The two given angles are vertical, so we can set their measures equal to each other and then solve for x.

4x + 50 = 150

4x = 100

x = 25

Answer:

x = 25

Step-by-step explanation:

The angles are vertical angles, so their measures are equal.

4x + 50 = 150

4x = 100

x = 25

By answering the above question, we may state that  Given that they carry their lunch to work, the probability that a randomly selected physical therapist would not use the gym membership is 2/7.

Mathematicians use probability theory to determine the chance that an event will occur or a statement is true. A probability of about 0 reflects how probable an event appears to occur, whereas a risk is a value between 0 and 1, where 1 suggests certainty. Probability is a mathematical representation of the likelihood that a specific event will take place. Other ways to express probabilities are as integers between 0 and 1 or as percentages between 0% and 100%. the ratio of events among equally likely options that lead to a certain event to all other outcomes.

Brings lunch to work and doesn't use the gym = P(Brings lunch to work and doesn't use the gym) / P (Brings lunch to work)

So, there is an 18/135 chance that a physical therapist brings lunch to work and does not use their gym membership.

Given that they carry their lunch to work, the likelihood that a physical therapist would not use their gym membership is as follows:

Brings lunch to work | Does not utilise gym membership = 18/135 / 42/135

When we simplify this fraction, we obtain:

Brings lunch to work | Does not utilise gym membership = 2/7

Given that they carry their lunch to work, the likelihood that a randomly selected physical therapist would not use the gym membership is 2/7.

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There were 16 players in the 5th round.

The number of competitors is decreased eight times, until there is just 1 player left, in a total of 8 rounds before the winner is decided.

After every round, the number of players appears to be cut in half. Analyzing the progression now

After every round, the number of players is reduced by half, as can be seen. As a result, we can use this pattern to determine how many players will participate in the fifth round.

So, There were 16 players in the 5th round.

We need to figure out how many times the original number of players (256) can be cut in half until there is only one player left in order to calculate the total number of rounds played to decide the competition's winner. One round is equal to each half.

256 ➝ 128 ➝ 64 ➝ 32 ➝ 16 ➝ 8 ➝ 4 ➝ 2 ➝ 1

The number of competitors is decreased eight times, until there is just 1 player left, in a total of 8 rounds before the winner is decided.

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The probability that the sample proportion will be between 0.9115 and 0.946 is 0.1496.

To calculate the probability that the sample proportion will be between 0.9115 and 0.946, we can use the sampling distribution of the sample proportion, assuming that the sample is taken from an infinite population.

The standard deviation of the sample proportion is given by:

σ_p = sqrt((p * (1 - p)) / n)

where p is the population proportion and n is the sample size.

In this case, p = 0.85 and n = 51. Plugging these values into the formula, we get:

σ_p = sqrt((0.85 * (1 - 0.85)) / 51)

= sqrt(0.127275 / 51)

≈ 0.092

Now, we can standardize the interval (0.9115, 0.946) using the sample proportion distribution:

z1 = (0.9115 - p) / σ_p

= (0.9115 - 0.85) / 0.092

≈ 0.667

z2 = (0.946 - p) / σ_p

= (0.946 - 0.85) / 0.092

≈ 1.043

Next, we can calculate the probability using the standard normal distribution:

P(0.9115 < p < 0.946) = P(z1 < Z < z2)

Looking up the values in the standard normal distribution table, we find:

P(0.9115 < p < 0.946) ≈ P(0.667 < Z < 1.043)

≈ 0.1496

Therefore, the probability that the sample proportion will be between 0.9115 and 0.946 is approximately 0.1496.

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The correct answer is D. Standard deviation is a numerical indicator of how widely dispersed possible values are distributed around the mean.

It is a common measure used to assess the variability or spread of a set of data points. It is calculated by taking the square root of the variance, which is the average of the squared differences from the mean. The standard deviation is an important statistical tool in many fields, including finance, economics, and engineering.

Standard deviation is a measure of variation or dispersion between values in a set of data. It is a numerical indicator of how widely dispersed possible values are distributed around the mean (or expected value), μ. The lower the standard deviation, the closer the data points tend to be to the mean

Standard deviation is a numerical indicator of how widely dispersed possible values are distributed around the mean. It is a commonly used measure to quantify the amount of variation or dispersion in a set of data values.

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Standard deviation is a statistical measure that quantifies the amount of variability or dispersion in a set of data values.

Number indicating how widely spread out possible values are from the mean. The correct answer is D.

It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean. Standard deviation provides information about how closely the data points are clustered around the mean, and a larger standard deviation indicates a greater dispersion or variability of the data points from the mean. In other words, it is a measure of how widely the possible values are distributed around the mean.

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Answer:

The variance rounded to the nearest tenth is 691.8

Step-by-step explanation:

Xavier's bowling scores:

135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149

No. of observations n = 11

\(Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157\)

Formula of variance : \(\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}\)

\(\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}\)

\(\sigma^2=\frac{7610}{11}\)

\(\sigma^2=691.81\)

Hence the variance rounded to the nearest tenth is 691.8

Answer:

y=\(\sqrt[3]{x-1}\)

Step-by-step explanation:

y=x^3-1

Switch y and x

x=y^3-1

Solve for y

x-1=y^3

y=\(\sqrt[3]{x-1}\)

Answer: D.

Step-by-step explanation:

Can it help you.

The most appropriate units to describe the cost of the sandbox would indeed be dollars.

When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.

Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.

Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.

Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.

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Value of sin(α + β)  is -140/221

given sin(α) = 8/17  so cos (α) = 15/17

given cos(β) = 5/13 so sin(β) = -12/13 (because β is in third quadrant )

sin(α + β) = sinαcosβ + cosαsinβ = (8/17)(5/13)- (15/17)(12/13) = -140/221.

The formula for sin(α + β) is given by sinαcosβ + cosαsinβ, which is derived from the product-to-sum identity for the sine and cosine functions.

This formula states that the sine of the sum of two angles is equal to the product of the sines of each angle multiplied by the cosine of the other angle, plus the product of the cosines of each angle multiplied by the sine of the other angle.

In this problem, we are given the values of sinα and cosα, as well as the values of sinβ and cosβ, so we can plug these into the formula to find the value of sin(α + β). After simplifying, we obtain the value of sin(α + β) = -140/221.

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Complete question :

If sin(α) = 8/17 where 0 < α < π/2 and cos(β) = 5/13 where 3π/2 < β < 2π,

find sin(α+β)

Thus, the total area of composite figure (circle on a rectangle) is found as  29.91 m².

Area of sector of the circle = (Ф/360°) *π*r²

r is the radius = 5.5 m

π = 3.14

Area =  (30/360°) *3.14 * 5.5²

Area = 7.91 m²

Area of rectangle = width × length

Area = 4 × 5.5 = 22 m²

Total area of composite figure = area of the circle's sector + area of the rectangle

Total area of composite figure =  7.91 m² + 22 m² = 29.91 m²

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Answer:i don’t know

Step-by-step explanation:

The largest population to which the results can be generalized is in option C i.e. All student-athletes at the college.

Population: A population can be described as a complete group with at least one characteristic in common and a sample of the population can be used to get the features of the population.

We were told that a random sample of 50 student-athletes from all the student-athletes at a college, even though the population can be used to have an idea about how the consumption of beetroot juice enhances exercise performance, and it can not be used to get the results that can be generalized as more than 50 students-athletes is required which is chosen randomly.

All the other options are wrong because of this reason.

Therefore, option C is correct.

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We diagree with Marco because

and

where, in the first expression, we factorized x and got

and in the second one, we got

In summary, the first expression is equal to x and the second one is equal to zero, so they are different expressions.

Answer:

p = 19 ft

hope it's helpful

Answer: 1.2 tons

Step-by-step explanation:

Answer:  1,777

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

a = -4, b = 3, c = 6

Step-by-step explanation:

x² + 8x = 38

(x + 4)² - 16 = 38

(x + 4)² = 54

x + 4 = ± √54

x = -4 ± 3√6

Answer:

B. 4, Heads

4, Tails

5, Heads

5, Tails

6, Heads

6, Tails

Step-by-step explanation:

Given that the cube is labelled 1 to 6 and the coin has a head or a tail, the only outcome when the number cube lands on a number greater than 3 means that the cube lands on 4 or 5 or 6.

On the other hand, the coin may give a head or a tail.

In light of this, the possible answers are;

4, Heads

4, Tails

5, Heads

5, Tails

6, Heads

6, Tails

Hence option B is right

Answer:

A. 1/5k - 2/3j and -2/3j +1/5k

Step-by-step explanation:

A. 1/5k - 2/3j and -2/3j +1/5k

B. 1/5k - 2/3j and -1/5k +2/3j

There is a change in the signs of each term

1/5k changed to -1/5k

-2/3j changed to +2/3j

Not equivalent

C. 1/5k - 2/3j and 1/5j - 2/3k

There is a change in the variables

1/5k changed to 1/5j

-2/3j changed to -2/3k

D. 1/5k - 2/3j and 2/3j - 1/5k

The is a change in the signs of each term

1/5k changed to -1/5k

-2/3j changed to +2/3j

The only equivalent expression is

A. 1/5k - 2/3j and -2/3j +1/5k

Answer:

The length is \(9\) inches and the width is \(30\) inches.

Step-by-step explanation:

The perimeter of the rectangle is \(2x + \frac{4x}{3} = 30\). We multiply \(3\) by both sides which will give us \(6x + 4x = 90\). Adding, we have \(10x = 90\). Dividing \(10\) by both sides will give us \(x = 9\). The length of the rectangle is \(9\), and the width is \(\frac23 \cdot 9 = 6.\) Checking our answer, we have \(6 + 6 + 9 + 9 = 30.\) Therefore, the length of the rectangle is \(\boxed{9 \text{ inches}}\) and the width of the rectangle is \(\boxed{30 \text{ inches}}\).

Hope that helps!