if X + Y equal to 5 and x y equal to 6 find the value of x cube + y cube how​

The penalty on Casey's nonqualified distributions is a) $0.

The penalty on Casey's nonqualified distributions is $74. Casey turned age 65 on May, 2020 and during the year she received distributions from her health savings account (HSA) totaling $728.96. She paid for electrolysis on March 3, 2020. Casey paid $44.87 to her ENT doctor on June 4, 2020, and $315 to her chiropractor in July and August.

Non-qualified distributions from a health savings account (HSA) before the age of 65 are subject to a 20% penalty. This penalty is imposed in addition to the usual taxes on non-qualified distributions. However, once an account holder reaches the age of 65, the penalty no longer applies, but normal taxes are still imposed.

In this case, Casey was 65 years of age in May 2020. Thus, she is not subject to a penalty on any of her HSA distributions. She received $728.96 in HSA distributions over the year. The penalty on her nonqualified distributions is $0.

Therefore, the correct option is a. $0.

Hence, the penalty on Casey's nonqualified distributions is $0.

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if it has a diameter of 6, that means its radius is half that or 3.

\(\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=7 \end{cases}\implies V=\pi (3)^2(7)\implies V\approx 197.92\)

Answer:

V=197.92

Step-by-step explanation:

Diameter (d) =6

Height (h) =7

Solution:

V=π(d/2)^2

H=π(6/2)^2 . 7=197.92034

Answer: I need to woo

Step-by-step explanation: your exciting boy come find me

The loan was taken out for approximately 14.29 years. To determine the number of years the loan was taken out, we can use the formula for simple interest: Interest = Principal * Rate * Time

In this case, the interest paid is $5000, the principal (initial loan amount) is $700, and the interest rate is 6% or 0.06.

5000 = 700 * 0.06 * Time

To find Time (in years), we can rearrange the equation:

Time = 5000 / (700 * 0.06)

Time ≈ 14.29 years

Therefore, the loan was taken out for approximately 14.29 years.

To find the number of years the loan was taken out, we use the formula for simple interest:

Interest = Principal * Rate * Time.

We know that the interest paid is $5000, the principal is $700, and the interest rate is 6% or 0.06.

Plugging these values into the formula, we get 5000 = 700 * 0.06 * Time.

To find the time in years, we divide both sides of the equation by (700 * 0.06) to isolate Time.

Simplifying the equation, we get Time = 5000 / (700 * 0.06), which is approximately 14.29 years.

Therefore, the loan was taken out for approximately 14.29 years.

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Answer:

24 kilograms

Step-by-step explanation:

one kilogram is 1000 grams

Answer:one solution

Step-by-step explanation:

According to the given data 47% of the fans that attend the event, purchase the peanuts.

The sample collected was among 200 fans which means total fans = 200

out of which 94 fans purchased peanuts which means

Percentage of Fans purchased Peanuts  = \(\frac{94}{200}\)  X 100

                                                                     = 47 %

Not exactly the half of the fans purchased the peanuts but approximately half that is 3% less than 50 % fans puchased the peanuts which implies => 47 % fans purchased peanuts.                

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Answer:

D

Step-by-step explanation:

BECAUSE the number of hrs he works his salary multiplies

hope this helps..

The correct analysis would be 3 option

Describe statistics using an example.

A statistic is a numerical expression of a sample characteristic. The average amount of points obtained by students in one math class at the conclusion of the term, for instance, is an example of a statistic if we see that class as a sample of the population of all math classes.

The right response is selection 3. To compare the means of two independent groups, use the independent samples t test. to determine whether there is a substantial difference between the means of the two groups. In this instance, we are comparing two different groups of people: those who work the night shift and those who work the day shift. By definition, these two groups of persons would differ, therefore neither a matched sample test nor a one-sample test would be appropriate. Furthermore, we are not interested in person's r, which is a measure of linear correlation between two variables.

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The test statistic is t = 24.135. (option d)

To perform the hypothesis test, we need to calculate a test statistic. In this case, we can use a two-sample t-test since we are comparing the means of two independent samples. The formula for the t-test is:

t = (x₁ - x₂) / (s_p * √(1/n₁ + 1/n₂))

where x₁ and x₂ are the sample means, s_p is the pooled standard deviation, n₁ and n₂ are the sample sizes.

Using the data provided, we can calculate the sample means and standard deviations for the two samples:

x₁ = 26.3%, s₁ = 0.37%, n₁ = 6

x₂ = 16.9%, s₂ = 0.57%, n₂ = 6

As per the percentage, we can then calculate the pooled standard deviation:

s_p = √(((n₁-1)*s₁² + (n₂-1)*s₂²) / (n₁+n₂-2))

s_p = √(((6-1)*0.37² + (6-1)*0.57²) / (6+6-2)) = 0.471%

Finally, we can calculate the t-statistic:

t = (26.3 - 16.9) / (0.471 * √(1/6 + 1/6)) = 24.135

Therefore, the test statistic is d) t = 24.135.

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Complete Question:

Solid fats are more likely to raise blood cholesterol levels than liquid fats. Suppose a nutritionist analyzed the percentage of saturated fat for a sample of 6 brands of stick margarine (solid fat) and for a sample of 6 brands of liquid margarine and obtained the following results:

Stick = [26.1, 26.5, 26.5, 25.8, 26.7, 26.2]

Liquid = [16.6, 16.5, 17.1, 17.5, 17.7, 16.3]

We want to determine if there a significant difference in the average amount of saturated fat in solid and liquid fats. What is the test statistic? (assume the population data is normally distributed)

a) t = 34.225

b) z = 34.225

c) z = 34.725

d) t = 24.135

e) t = 34.725

Answer:

they're the same angle

Step-by-step explanation:

technically, if you were to line up the angles on top of each other, you'll see that they are EXACTLY the same. it's just flipped in your case

1. The correct answer is 46 percent, 2. The correct answer is .07, 3. The correct answer is (34%,58%), 4. The correct answer is (32%,60%)

The term "standard error" is used to refer to the standard deviation of various sample statistics, such as the mean or median. For example, the "standard error of the mean" refers to the standard deviation of the distribution of sample means taken from a population. The smaller the standard error, the more representative the sample will be of the overall population.

The relationship between the standard error and the standard deviation is such that, for a given sample size, the standard error equals the standard deviation divided by the square root of the sample size. The standard error is also inversely proportional to the sample size; the larger the sample size, the smaller the standard error because the statistic will approach the actual value.

1. Let's calculate the percentage or proportion of patients that were dogs:

p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46

The correct answer is 46%

2. Let's estimate the standard error, using the given formula, this way:

S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07

The correct answer is .07

3. Let's calculate the confidence limits of the 90% confidence interval, this way:

Confidence limits = proportion +/- 1.645 * standard error

Confidence limits = 0.46 +/- 1.645 * 0.07

Confidence limits = 0.46 +/- 0.12

Confidence limits = 0.34, 0.58

The correct answer is (34%,58%)

4. Let's calculate the confidence limits of the 95% confidence interval, this way:

Confidence limits = proportion +/- 1.96 * standard error

Confidence limits = 0.46 +/- 1.96 * 0.07

Confidence limits = 0.46 +/- 0.14

Confidence limits = 0.32, 0.60

The correct answer is (32%,60%)

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Answer:

11 sit ups per day

Step-by-step explanation:

because 44/4 = 11

Answer:

11sit ups each day

Step-by-step explanation:

divide 44by 4

Answer:

It's going down 2 because it's -2

Step-by-step explanation:

y2 - y1

----------           This should be the formula

x2 - x1

However, you didn't give us two coordinates just a linear equation.

Rate of change finds you the slope and the slope is -2.

Answer:

yes it is true

Step-by-step explanation:

they both equal 6

Answer:

no.

Step-by-step explanation:

4-3+5= -6+8+4

-4 does not equal 6

The solution to the system of equations −5y = 10 − 5x and −2y = 8 − 4x is x =2 and y = 0

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

−5y = 10 − 5x and −2y = 8 − 4x

Multiply the first equation by 2 and the second by -5

So, we have

−10y = 20 − 10x and 10y = -40 + 20x

Add the equations

So, we have the following representation

0 = -20 + 10x

Evaluate the like terms

10x = 20

So, we have

x =2

Substitute x =2 in −2y = 8 − 4x

−2y = 8 − 4 * 2

Evaluate

−2y = 0

So, we have

y = 0

Hence, the solution is x =2 and y = 0

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Out of a whole population, a sample is a small part which is considered for any survey.  

The population in this case would be all the one-bedroom apartments available for rent near the college.

The sample would be the listings that Greg is looking at in the local newspaper and on the internet site.

Sample: listings in a local newspaper and on an Internet site              

Population: all available apartments near the college          

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Answer:

C, D, E

Step-by-step explanation:

We can rewrite the radical expression:

\(\frac{a^3}{\sqrt{ab} } = b\)

To get the one in option D:

\(a^5 = b^3\)

Here we start with the following expression:

\(\frac{a^3}{\sqrt{ab} } = b\)

Such that a*b > 0, so the denominator is never equal to zero.

First, remember two properties of the square root:

√(a*b) = √a*√b

And:

√a = a^(1/2)

Thus, we can rewrite:

\(\frac{a^3}{\sqrt{ab} } = b\\\\\frac{a^3}{a^{1/2}*b^{1/2}} = b\\\)

Now we can solve this as:

\(\frac{a^3}{a^{1/2}*b^{1/2}} = b\\\\\frac{a^3}{a^{1/2}} = b*b^{1/2}\\\\a^{3 - 1/2} = b^{1 + 1/2}\\\\a^{5/2} = b^{3/2}\)

Now we can apply a power of two in both sides to get:

\(a^{5/2} = b^{3/2}\\\\(a^{5/2})^2 = (b^{3/2})^2\\\\a^5 = b^3\)

So the correct option is D.

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The estimated standard deviation (ESD) of the data is approximately 0.0639 grams.

To calculate the process capability index (Cpk), we use the following formula:

Cpk = min((Upper Specification Limit - Mean) / (3 * Standard Deviation), (Mean - Lower Specification Limit) / (3 * Standard Deviation))

In this case, the upper specification limit is 1.751 grams, the lower specification limit is 1.632 grams, the mean is 1.7 grams, and the standard deviation is 0.023 grams.

Let's plug in the values and calculate the process capability index:

Cpk = min((1.751 - 1.7) / (3 * 0.023), (1.7 - 1.632) / (3 * 0.023))

Cpk = min(0.051 / 0.069, 0.068 / 0.069)

Cpk = min(0.7391, 0.9855)

Cpk = 0.7391

Therefore, the process capability index for this system is approximately 0.7391.

To calculate the lower control limit (LCL) for an X-bar chart, we use the following formula:

LCL = Mean - (3 * Standard Deviation / sqrt(n))

In this case, the mean is 1.251 millimeters, the standard deviation is 0.0425 millimeters, and the sample size is 20.

Let's calculate the lower control limit:

LCL = 1.251 - (3 * 0.0425 / sqrt(20))

LCL ≈ 1.251 - (3 * 0.0095)

LCL ≈ 1.251 - 0.0285

LCL ≈ 1.2225 millimeters

Therefore, the lower control limit (LCL) for an X-bar chart of this data is approximately 1.2225 millimeters.

To calculate the estimated standard deviation (ESD) for an X-bar chart, we use the following formula:

ESD = R-bar / d2

In this case, the standard deviation is given as 0.173 grams.

Let's calculate the estimated standard deviation:ESD = 0.173 / d2 (for a sample size of 20, d2 = 2.704)

ESD ≈ 0.173 / 2.704

ESD ≈ 0.0639 grams

Therefore, the estimated standard deviation (ESD) of the data is approximately 0.0639 grams.

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Answer:

(In picture with steps)

Step-by-step explanation:

^

Sorry this took so long! I was doing the work, hope it helped anyways!

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

2a. =  X = -5      2b. =  X = -4

Step-by-step explanation:

Hope this helps!

2a.   2 - 2x - 5 = 7

-2x = 7 + 5 - 2

-2x = 10

x = -5

2b.    -6 + x + 4 = -6

x = -6 - 4 + 6

x = -10 + 6

x = -4

Answer:

5 inches

Step-by-step explanation:

3.5 × 2 = 7

So, you have to multiply 2.5 by 2 which is 5

Answer:

A.5in

Step-by-step explanation:

Answer:

its b

Step-by-step explanation:

trust mee

Answer:

-3.5 or -7/2

Step-by-step explanation:

Answer:

3x + 7

Step-by-step explanation:

Recall that a regular pentagon has 5 sides of equal length

If the perimeter of the pentagon is given, then the length of each side is simply the perimeter divide by 5 or,

length of each side

= perimeter ÷ 5

= (15x + 35) ÷ 5

= (15/5) x + (35/5)

= 3x + 7

1. Volume =  45cm³, new volume = 180cm³, the ratio = 4 times

2. Volume = 12in³,new volume = 3 in³, Ratio = 1/4 times

3. Volume = 24ft³, new volume = 144 ft³

The formula for the volume of a rectangular prism is expressed as;

1. Volume = length × width × height

Volume = 2.5 × 6 × 3

Volume = 45cm³

For the bigger rectangular prims

Volume = 6 × 5 × 6 = 180cm³

The ratio = 180/45 = 4 times

2. Volume = 2 × 4 × 1.5

multiply the values

Volume = 12in³

The larger prism

Volume = 2 × 2 × 0.75

multiply the values

Volume =3 in³

3. Volume = 3 × 4 × 2

Volume = 24ft³

The larger prism

The height = 2(9) = 18ft

Volume = 18 × 4 × 2

Volume = 144 ft³

Hence, the volume is determined by multiplying the sides

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To find f(g(x)), substitute g(x) into f(x). Simplifying gives f(g(x)) = log6(36g(x)). For range of y in f(x) + g(x), Take possible values . Since log6(36x) is defined for x > 0, and 6 is positive, the range of y is (0, ∞).

a) To find f(g(x)), we substitute g(x) into f(x):

f(g(x)) = f(6x) = log6(36(6x)) = log6(216x) = log6(6^3x) = 3log6(6x) = 3(log6(6) + log6(x)) = 3(1 + log6(x)) = 3 + 3log6(x).

Thus, f(g(x)) simplifies to 3 + 3log6(x).

(b) To find the range of y in f(x) + g(x), we need to consider the possible values of f(x) and g(x). Since log6(36x) is defined for x > 0, and 6* is always positive, the range of f(x) is (0, ∞). Similarly, g(x) = 6* is always positive, so the range of g(x) is also (0, ∞).When we add f(x) and g(x), we are adding two positive functions, resulting in values greater than 0. Therefore, the range of y in f(x) + g(x) is (0, ∞).

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The correct relative frequency and the conclusion based on the table is B. The relative frequency for traveling out of state for longer than a week is 48%. This could be high because people want to spend more time if they have traveled farther.

Given a table.

Relative frequency of a data set is defined as the ratio of the number of outcomes that occured by the total number of trials.

Total number of surveys = 100

Relative frequency for traveling in state for longer than a week is,

10/100 = 10%

Relative frequency for traveling out of state for longer than a week is,

48/100 = 48%

This must be true since people will be more likely to spend more time if they travelled farther.

Hence the correct option is B.

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The mode of this set of numbers is 1,the median of this set of numbers is 1.

Mean: To find the mean of this set of 5 numbers, we first add them together and divide by the number of measurements. 0 + 7 + 1 + 1 + 4 = 13. 13 divided by 5 (the number of measurements) is 2.6. Therefore, the mean of this set of numbers is 2.6.

Median: To find the median of this set of 5 numbers, we first need to arrange them in order from least to greatest. 0, 1, 1, 4, 7. The median is the middle number, so it is 1. Therefore, the median of this set of numbers is 1.

Mode: To find the mode of this set of 5 numbers, we need to look for the number that appears most often. In this set, the number 1 appears twice while the rest of the numbers appear only once. Therefore, the mode of this set of numbers is 1.

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Answer:

Step-by-step explanation:

The answer is the last one because it does not have a relation of increase or decrease of pens or books.

Answer: The 4th one

Step-by-step explanation:

The points keep jumping up and down, so there is no relationship.