What is 53,274 in expanded form?

Answer:

x=90

Step-by-step explanation:

it is a square so: 360/4=90

Here since the ratios are not all equal, we can conclude that x and y are not in a proportional relationship.

What is meant by ratios?

Ratios are a mathematical tool used to compare the sizes of two or more quantities, expressed as a ratio of their values. Ratios can be simplified, converted to fractions or decimals, and used to solve problems in various fields.

What is meant by proportional?

Proportional refers to the constant relationship between two or more quantities where their ratio remains the same. Scaling one quantity by a certain factor requires scaling the other quantity by the same factor to maintain the proportion.

According to the given information

To determine if x and y are in a proportional relationship, we need to check if the ratio of y to x is constant.

Let's calculate the ratio of y to x for each pair of corresponding values:

y/x for (1, 2.5) = 2.5/1 = 2.5

y/x for (2, 5) = 5/2 = 2.5

y/x for (3, 7.5) = 7.5/3 = 2.5

y/x for (6, 12) = 12/6 = 2

Since the ratios are not all equal, we can conclude that x and y are not in a proportional relationship.

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The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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\(= \tt\$570\)

Money Dayami earns for an hour's work = $10.50

Number of hours Dayami worked last week = 40

Money Dayami would have gotten for her work :

\( =\tt 10.50 \times 40\)

\( =\tt \$ \: 420\)

Thus, money earned by Dayami for her work = $420

Total sales Dayami made last week = $2050

Money Dayami must have earned as commission :

= 6% of total sales

\( = \tt6 \% \: of \: 2500\)

\( = \tt\frac{6}{100} \times 2500\)

\( =\tt \frac{15000}{100} \)

\( =\tt \$150\)

Thus, money Dayami earned as a commission = $150

Dayami's weekly gross salary last week :

\( = \tt420 + 150\)

\( =\color{plum} \tt \: \$570\)

Thus, total salary = $570

Therefore, Dayami's gross salary last week = $570

Answer:

180

Step-by-step explanation:

The total cost to put a new floor on both the court and its border is; $61776

The parameters given are;

Initial length = 84 ft

Initial Width = 46 ft

Now, since the court has a border that is 10 ft wide, it means that we will add 20 ft to the initial length and width to get the new measurements. Thus;

New length = 84 + 20 = 104 ft

New Width = 46 + 20 = 66 ft

Thus;

Area = 104 * 66

Area = 6864 sq.ft

Thus;

Total Cost = 6864 * 9

= $61776

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The value of the test statistic is 6.51.

The test statistic for this problem can be calculated using the formula:

z = (p - P) / √(P * (1 - P) / n)

Where p is the sample proportion (0.67 in this case), P is the hypothesized population proportion (we don't know this value, so we assume it to be 0.5 for a two-tailed test), n is the sample size (380), and z is the standard normal distribution value corresponding to the level of significance.

Plugging in the values, we get:

z = (0.67 - 0.5) / √(0.5 * (1 - 0.5) / 380) = 6.51

So the value of the test statistic is 6.51.

The test statistic is a measure of how far the sample proportion deviates from the hypothesized population proportion under the null hypothesis. In this case, we assume that the population proportion is 0.5 (since we have no reason to believe otherwise), and we calculate the probability of observing a sample proportion of 0.67 or greater assuming this null hypothesis is true.

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Answer:

True

Step-by-step explanation:

If the natural numbers other than one is squared, it should be either a multiple of 3 or exceeds a multiple of 3 by 1

Answer:

u

Step-by-step explanation:

it is undefined because its a vertical line.

Answer:

slope is undefined u

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, - 3 ) and (x₂, y₂ ) = (1, 0 )

m = \(\frac{0-(-3)}{1-1}\) = \(\frac{0+3}{0}\) = \(\frac{3}{0}\)

Since division by zero is undefined then the slope of the line is undefined

Joule per meter second is the unit of measurement for momentum flux or power per unit area. It is commonly used in physics and engineering to quantify the rate of energy transfer or momentum flow per unit area.

Joule per meter second (J/m^2s) is not the correct unit for momentum flux or power per unit area. The correct unit for momentum flux is Newton per square meter (N/m^2), also known as Pascal (Pa), while the correct unit for power per unit area is watt per square meter (W/m^2). The joule per meter second (J/m^2s) is actually the unit for volumetric energy dissipation rate, which measures the rate at which energy is being dissipated within a fluid volume per unit volume. It is used in the study of fluid dynamics and turbulence.

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Answer:Does this help?

Step-by-step explanation:

3/4 needs to have the same denominator as 8/12 so you can do this by multiplying the denominator by 3 and the top by 3 you get 9/12 When you convert them to percents you get , 3/4= 75% and 8/12= 66.666%

Answer:

0.255

Step-by-step explanation:

Answer: 0.255

Step-by-step explanation: 25.5/100= 0.255

Answer:B I think good luck

Answer:

the answer is b

Step-by-step explanation:

all you need to do is find the unit rate you divide 28.74 by 3 and i got 9.58 then you multiply 6,9,12,and 15 and see if the prices match up. B does not match up

Answer:

x=24

y=7

Step-by-step explanation:

Let's start by setting up a ratio. We can set up a ratio using the given length of the hypotenuse of both triangles.

25:50=1:2

We can use this ratio to set up an equation since we know that the length of a side of the smaller triangle to the length of a side of the larger triangle is 1:2

2x=48 (This is because we are given the length of the side of the larger triangle is 48, and since the ratio of the smaller triangle to the larger triangle is 1:2, two times the length of a side of the smaller triangle is the length of a side of the larger triangle)

Divide both sides by 2

x=24

2y=14

Divide both sides by 2

y=7

x=24

y=7

Answer:

Where's the question

Rounding to the nearest whole number, we get that the score a student would need to have a 30th percentile score on the SAT is 1345.  Correct option is B.

To find the score corresponding to the 30th percentile, we need to use the standard normal distribution with a mean of 0 and a standard deviation of 1. We can convert the SAT score to a standard normal score using the formula:

z = (x - μ) / σ

where x is the SAT score, μ is the mean score (1509), and σ is the standard deviation (312).

To find the score corresponding to the 30th percentile, we need to find the z-score that has an area of 0.30 to its left. Using a standard normal table or calculator, we can find that the z-score corresponding to a 30th percentile is approximately -0.52.

Now we can use the formula to find the corresponding SAT score:

-0.52 = (x - 1509) / 312

Solving for x, we get:

x = -0.52 * 312 + 1509 = 1345.36

Therefore, the answer is (b) 1345.

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Complete question is:

What score would a student need to have a 30th percentile score on the SAT? Recall that the mean score was 1509, and the standard deviation of the scores is 312.

Group of answer choices

a. 1244

b. 1345

c. 1456

d. 1673

Answer:

1(a)1,030,000+0.13x

(b)$1,030,026

2. (a)Base and Index

(b)See Explanation

Ste-by-Step Explanation

(a)Total Amount to be paid to the four actors

=500,000+(300,000+0.02x)+(150,000+0.03x)+(80,000+0.08x)

Collect like terms

=500,000+300,000+150,000+80,000+0.02x+0.03x+0.08x

\(\text{Total Amount Paid= }1,030,000+0.13x\)

(b)When x=200

\(\text{Total Amount Paid= }1,030,000+0.13(200)\\=1,030,000+26\\=$1,030,026\)

Question 2

(a)The two parts of a power are the base and index.

Take, for example, the expression: \(a^b\\\)

\(a$ is the base\\b is the index\)

Another example using numbers is: \(10^3\)

In this case:

\(10$ is the base\\3 is the index\)

(b)Like terms are terms that have the same letter/variable attached to them.

For example, the following pairs are like terms

These, however, are not like terms

Answer:

B

Step-by-step explanation:

a)   Both roots are outside the unit circle, which means that the model is not stationary and not invertible.

b)  The AR representation is: ap = Z1 + 1.7Z1B + 1.16Z1B^2 - 0.4889Z1B^3

(a) To determine whether the model is stationary or invertible, we need to check the roots of the characteristic polynomial:

1 - 1.1B + 0.8B^2 = 0

Using the quadratic formula, we get:

B = (1.1 ± sqrt(1.1^2 - 40.8)) / (20.8)

B = 0.625 or B = 1.25

Both roots are outside the unit circle, which means that the model is not stationary and not invertible.

(b) To express the model in an MA representation, we need to solve for Z1:

Z1 = [(1 - 1.7B + 0.72B^2) / (1 - 1.1B + 0.8B^2)] * ap

Expanding the fraction using long division, we get:

Z1 = ap - 0.6apB - 0.5apB^2 + 0.175apB^3

So the MA representation is:

Z1 = ap - 0.6apB - 0.5apB^2 + 0.175apB^3

(c) To express the model in an AR representation, we can rearrange the equation to solve for ap:

ap = [(1 - 1.1B + 0.8B^2) / (1 - 1.7B + 0.72B^2)] * Z1

Expanding the fraction using long division, we get:

ap = Z1 + 1.7Z1B + 1.16Z1B^2 - 0.4889Z1B^3

So the AR representation is:

ap = Z1 + 1.7Z1B + 1.16Z1B^2 - 0.4889Z1B^3

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Answer:

slope= 2 I case you need that :)

Answer:

Below.

Step-by-step explanation:

One way is to plot some points:

When x = 0, y = 2(0) - 4 = 4  So plot (0,-4).

In a similar way you can plot  when x = 1, y = 2(1) - 4 = -2 that is (1, -2).

Also 2(3) - 4 giving the point (3, 2).

Now draw a line passing through these 3 points.

If you cant draw a line through these points then Ive made a mistake in the calculations

Answer:

\(x1 = 2 - \sqrt{42} \)

\(x2 = 2 + \sqrt{42} \)

Step-by-step explanation:

I added a photo of my solution

The probability of mission success if at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission if each boat has a failure rate of 1 failure per 100 hoursis 99.5%. Hence, the correct option is (A).

To determine the probability of mission success, we'll need to calculate the probability of failure for each boat and then use the binomial probability formula.

Here are the steps:

1. Calculate the probability of failure for each boat during the 20-hour mission: Since each boat has a failure rate of 1 failure per 100 hours, the probability of failure for each boat in 20 hours is 20/100 = 1/5 or 0.2.

2. Calculate the probability of success for each boat: The probability of success for each boat is 1 - probability of failure = 1 - 0.2 = 0.8.

3. Use the binomial probability formula to find the probability of at least 11 boats operating successfully:
P(X ≥ 11) = 1 - P(X ≤ 10), where X is the number of successful boats.

4. Calculate P(X ≤ 10) using the binomial probability formula:

P(X ≤ 10) = ∑[C(16, k) × (0.8)^k × (0.2)^(16-k)], where k ranges from 0 to 10, and C(16, k) is the binomial coefficient or the number of ways to choose k successes from 16 boats.

5. Calculate 1 - P(X ≤ 10) to get the probability of mission success.

After performing the calculations, the probability of mission success is found to be approximately 99.5%, which corresponds to option A.

So, the probability of mission success, given that at least 11 of the 16 patrol boats must operate for the duration of the 20-hour mission and each boat has a failure rate of 1 failure per 100 hours, is approximately 99.5%.

Hence, option (A) is correct.

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The answer will be 1/10. First you will change the denominator to the same number because you can’t mutiply fractions if the denominator is different. 5x2=10 and 2x5=10. So both of the denominator will turn into a 10. Now you’ll have to find the numerator. For the first one, multiply it by 2 because that how much the number need to turn equalvilant for the denominator. 1x2=2. So now you know that the first fraction is 2/10. Then you multiply 1 with 5 which is 5. Now the numbers all have the same denominator. Multiply 2/10 and 5/10 which is 1/10.

Answer:

Well you got 1/4 + 1/12

So we have to have the same denominator in order to solve this

So by finding a common multiple, you would be able to solve this

So in this case is the common multiple.

we already have a 12 so we leave that be.

We need to convert 1/4 to x/12

To Do that we multiplying it by 3

so 3/12 + 1/12

Now add normally and keep the denominator

4/12

or 1/3

Answer:

\(\sf \cfrac{1}{4}+\cfrac{1}{12}\)

First find the Least Common Denominator (LCM) of 4, 12.

Join the denominators.

Susan has more candy in weight compared to Isabel.

To compare the candy weights between Susan and Isabel, we need to ensure that both weights are in the same unit of measurement. Let's convert Isabel's candy weight to ounces for a fair comparison.

Given:

Susan: 4 bags x 6 ounces/bag = 24 ounces

Isabel: 1 bag x 16 ounces/pound = 16 ounces

Now that both weights are in ounces, we can see that Susan has 24 ounces of candy, while Isabel has 16 ounces of candy. As a result, Susan is heavier on the candy scale than Isabel.

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Answer:

x=3

Step-by-step explanation:

This is a proportional equation:

Given: x/9=9/27

Cross-multiply: 27x=81

Divide: x=3

So x=3

Answer:  

x=3

Step-by-step explanation:

The number of knots in each row of a friendship bracelet is not necessarily proportional to the number of rows. It depends on the pattern that you are using to create the bracelet.

For example, if you are using a simple pattern where each knot is made with two strings, the number of knots in each row will be equal to the number of rows. This is because each row will have one knot for each string in the bracelet.

However, if you are using a more complex pattern where each knot is made with more than two strings, the number of knots in each row may not be proportional to the number of rows. For example, if you are using a pattern where each knot is made with three strings, the number of knots in each row will be greater than the number of rows. This is because each knot involves three strings, so each row will have more knots than the number of rows.

Overall, the number of knots in each row of a friendship bracelet depends on the pattern that you are using to create the bracelet. It is not necessarily proportional to the number of rows.

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Answer:(0,-5)

Step-by-step explanation: to start you add both x’s together then divide by two so you get 0 then you add both of the y’s together divide by 2 and you get -5 the answer you got from the x’s goes first then the answer from the y’s hence (0,-5)