You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours per week. You also teach music lessons for $15 per hour. You need to earn at least $120 per week, but you do not want to work more than 20 hours per week. a. Write a system of linear inequalities that represents the situation. Use x for hours worked at the grocery store and y for hours teaching music lessons. i need the inequility for total work. please fast

Step-by-step explanation:

Area of Rectangle at the top =

Length x Width

[tex] = 3.5 \times 3 \\ = 10.5 {mm}^{2} [/tex]

Area of Quarter- Circle = 1/4 x Area of Circle

[tex] = \frac{1}{4} \pi {r}^{2} \\ = \frac{1}{4} \pi( {3.5}^{2} ) \\ = 3 \frac{1}{16} \pi {mm}^{2} [/tex]

Area of Rectangle at the right = Length x Width

[tex] = 5.5 \times 3.5 \\ = 19.25 {mm}^{2} [/tex]

Total Area = Area of 2 Rectangles + Area of Quarter Circle

[tex] = 10.5 + 3 \frac{1}{16} \pi + 19.25 \\ = 29.75 + 3 \frac{1}{16}\pi \\ = 32 \frac{13}{16}\pi {mm}^{2} [/tex]

I will leave the answer in terms of pi as I'm not sure if you need to round off your answer.

Answer:

32 percent of 112 is 35.84. 112 -35.84=76.16

Step-by-step explanation:

Brainliest?

Answer:

35.84

Step-by-step explanation:

I used a online calculator

a. The study design that applies to this study is paired design.

b. The 2×2 table:

                 Gingivitis (+)     Gingivitis (-)

--------------------------------------------------

Exposed (+)           23                  40

Exposed (-)           15                  86

c. For the statistical analysis, the null and alternative hypotheses are as follows:

Null hypothesis: Smoking is not associated with gingivitis

Alternative hypothesis: Smoking is associated with gingivitis

d. Under the null hypothesis, the χ² test statistic is less than the critical value. Therefore, we fail to reject the null hypothesis that smoking is not associated with gingivitis.

The calculated χ² value is greater than the critical value; thus, we reject the null hypothesis.

a. The study design that applies to this study is paired design because it involves pairs of same-sex twins, where one twin is low-exposed to smoking and the other twin is high-exposed to smoking. The pairs are matched based on sex, age, and genetic factors..

b. The 2×2 table that cross-tabulating the pairs of exposed and unexposed twins in terms of their gingivitis status is as follows:

                 Gingivitis (+)     Gingivitis (-)

--------------------------------------------------

Exposed (+)           23                  40

Exposed (-)           15                  86

c. For the statistical analysis, the null and alternative hypotheses are as follows:

Null hypothesis: Smoking is not associated with gingivitis

Alternative hypothesis: Smoking is associated with gingivitis

d. Perform a statistical test for the null hypothesis using hand calculations

To test the null hypothesis, we will use the McNemar's test. The formula for McNemar's test is given below:

χ² = [(b - c)²]/(b + c)

where b is the number of discordant pairs, and c is the number of discordant pairs.

The calculations are: b = 23, c = 40χ² = [(23 - 40)²]/(23 + 40) = 6.25

The calculated χ² value is 6.25.

The degrees of freedom (df) for the McNemar's test is one less than the number of matched pairs. In this study, there were 164 pairs; thus, df = 163.

The critical value of χ² with df = 163 and α = 0.05 is 1.736.

Under the null hypothesis, the χ² test statistic is less than the critical value. Therefore, we fail to reject the null hypothesis that smoking is not associated with gingivitis.

The calculated χ² value is greater than the critical value; thus, we reject the null hypothesis. The results of the study suggest that there is an association between smoking and gingivitis.

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Answer:

The distance between the bakery and the library is the length of BC. The endpoints of this line segment are B(0, 4) and C(3, 4). Because the y-coordinates of both points are the same (4), the length of BC can be found by subtracting the smaller x-coordinate from the greater x-coordinate: BC = 3 - 0 = 3 units. The distance between the bakery and the library is 3 blocks.

Step-by-step explanation:

I did the activity, this is the sample answer.

Jane's balance right after her last contribution is $23,679.09.

Given that Jane is making quarterly contributions of $280 to her savings account, which pays interest at the APR of 6.6%, compounded quarterly.

The formula to find the interest rate is given as;A = P(1 + r/n)^(nt)

Where;P = $280r = 6.6% or 0.066n = 4 t = 38A = 280(1 + 0.066/4)^(4 * 38)= 280 (1.0165)^152A = $12,734.71

Jane's balance right after her last contribution at 7.5% after 49 contributions would be calculated as;P = $280r = 7.5% or 0.075n = 4 t = 49A = P(1 + r/n)^(nt)A = 280 (1 + 0.075/4)^(4 * 49)= 280 (1.01875)^196A = $23,679.09

Therefore, Jane's balance right after her last contribution is $23,679.09.

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Answer: 10,500 gm

Step-by-step explanation:

Given

Pasta requires 3.5 kg of tomatoes

we know, [tex]1\ kg=1000\ mL[/tex]

If the amount is triples, the quantity of tomatoes is [tex]3\times 3.5=10.5\ kg[/tex]

[tex]\Rightarrow 10.5\ kg\equiv 10.5\times 1000=10,500\ gm[/tex]

Thus, he uses 10,500 gm of tomatoes

Answer:

4:1

Step-by-step explanation:

8/2 = 4:1 cause 2 can go into 8, 4 times.

Answer:

241

Step-by-step explanation:

205

+36

_____

241

X would be 241

The 90% confidence interval for the proportion of smokers is approximately (0.043, 0.137).

The proportion of smokers in the population, we can use the sample proportion and construct a confidence interval.

Given that the sample size is 100 and there were 9 smokers in the sample, the sample proportion of smokers is 9/100 = 0.09.

To calculate the confidence interval, we can use the formula:

CI = p (bar) ± Z  × √(p (bar)(1-p (bar))/n)

p (bar) is the sample proportion, Z is the Z-score corresponding to the desired confidence level, and n is the sample size.

In this case, the confidence interval is not provided directly, so we need to calculate it.

Using a confidence level of 90%, the Z-score corresponding to a 90% confidence level is approximately 1.645.

The confidence interval:

CI = 0.09 ± 1.645 × √(0.09(1-0.09)/100)

CI = 0.09 ± 1.645 ×√(0.0819/100)

CI = 0.09 ± 1.645 × 0.0286

CI = 0.09 ± 0.047

Therefore, the 90% confidence interval for the proportion of smokers is approximately (0.043, 0.137).

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Answer:

7m^5 - 3m^3 - 3

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

A² + B² = C²

9 • 9 = 81

12 • 12 = 144

81 + 144 = 225

Sqrt

√255 = 15

The total depreciation amount for 2020 is $547.

We need to know the depreciation method and the asset's useful life in order to calculate the total amount of depreciation for 2020. Let's suppose the assets are being depreciated using the Modified Accelerated Cost Recovery System (MACRS) and have a useful life of five years because the question leaves this information out. The desk for the workplace was bought on April 15, 2018. We must ascertain the number of full years the desk has been in operation as of December 31, 2020, to compute the year's depreciation. By the end of 2020, it would have been in use for three years after it was acquired in 2018.

Using MACRS, the depreciation percentages for the 5-year property are as follows:

Year 1: 20%

Year 2: 32%

Year 3: 19.20%

Year 4: 11.52%

Year 5: 11.52%

Year 6: 5.76% (if applicable)

Since we're calculating depreciation for the 3rd year, we'll use the Year 3 depreciation percentage of 19.20%.

Depreciation for the office desk in 2020:

Depreciation = Cost of the desk × Depreciation percentage

Depreciation = $950 × 19.20% = $182

The executive-style chairs were purchased on August 5, 2018. They would also have been in service for 3 full years by the end of 2020. Using the same depreciation percentages, the depreciation for the chairs in 2020 would be:

Depreciation = Cost of the chairs × Depreciation percentage

Depreciation = $1,900 × 19.20% = $364

Now, let's calculate the total depreciation amount for 2020 by adding the depreciation of the desk and chairs:

Total Depreciation = Depreciation of the desk + Depreciation of the chairs

Total Depreciation = $182 + $364 = $546

Given the answer choices provided, none of them match the calculated total depreciation amount of $546. However, the closest answer is an option I: $547.

The total depreciation amount for 2020 is $547.

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Answer:

A. 80

Step-by-step explanation:

There are more points on 80 than on the other ones. By this, you can tell that it's the PEAK of the data set.

Hope this helps! Please brainliest!

Answer:

Step-by-step explanation:

In which point has more balls ( it is on 80)

I hope that is useful for you :)

Answer:

4.5 ounces

Step-by-step explanation:

Given data

Total weight=14 ounces

1st kitten= 1/4pound = 4 ounces

2nd kitten= 5.5 ounces

3rd kitten = x ounces

Let the expression for the total weight be

4+5.5+x=14

solve for x

9.5+x=14

x= 14-9.5

x=4.5 ounces

Hence the 3rd kitten weighs 4.5 ounces

Answer:

12

Step-by-step explanation:

1st circle - [tex]1+3+6=10[/tex]

3rd circle - [tex]6+2+5=13[/tex]

2nd circle is proboably the same way.

Answer:

-2, -1, 0, 1

Step-by-step explanation:

you hover over the stars

Answer:

the answer is no. D

Step-by-step explanation:

Answer:

Oh, yes it is D

Answer:

69.53 ft

Step-by-step explanation:

area of a box: 18*18 = 324

area of a circle: (pi)*9^2 = 254.47

324-254.47 = 69.53 ft

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same. In other words, we must find a common denominator.

Step-by-step explanation:

Answer:

To add or subtract two rational expressions with the same denominator, we simply add or subtract the numerators and write the result over the common denominator. When the denominators are not the same, we must manipulate them so that they become the same.

Step-by-step explanation:

Answer: There are infinitely many.

For example, 5314410.5 or 93. You are probably looking for (3)^6 tho

Answer:

A) Subtract 5 from each side

Step-by-step explanation:

This would be your first step, then you would want to isolate your variable so you would divide both sides by 2.

4- 20

I created an equation for this one:

4x+x=100

5x=100

x=20

5. One pretzel costs $3

Create an equation:

Mulitply 2s+p=7 by -2 so you can use elimination.

Combine equations

p=3

Based on these considerations, it can be concluded that Y is not a normal random variable.

The random variable Y, defined as Y = X if the coin flip is Heads and Y = -X if the coin flip is Tails, is not a normal distribution.

To justify this answer, we can consider that the normal distribution is symmetric around its mean. However, in this case, the transformation of Y = -X introduces asymmetry, as it reflects the distribution across the origin.

Additionally, the probability distribution of Y is a mixture of two normal distributions with equal weights, one centered at 0 and the other at 0 but with opposite signs. This combination results in a distribution that is not normal.

The random variable Y, which is defined as Y = X in case of a Heads coin flip and Y = -X in case of a Tails coin flip, is not a normal distribution. This can be justified by considering the properties of the normal distribution. The normal distribution is symmetric around its mean, but the transformation Y = -X introduces asymmetry by reflecting the distribution across the origin. As a result, the probability distribution of Y becomes a mixture of two normal distributions with equal weights, centered at 0 but with opposite signs. This combination of two distinct distributions results in a non-normal distribution for Y.

Therefore, based on these considerations, it can be concluded that Y is not a normal random variable.

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Using the integrating method to solve the given differential equation, we get :

y = -1/4 - (9/4)e^(-2x)

Given equation is:

4y′ + 8y = 7,

y(0) = −2

We are going to use the integrating factor method to solve the differential equation.

Differential equation:

4y′ + 8y = 7

Rearranging the terms, we get:

y′ + 2y = 7/4

Integrating factor:

I.F. = e^(∫2dx)I.F. = e^(2x)

Multiplying I.F. throughout the differential equation, we get:

e^(2x)y′ + 2e^(2x)y = 7/4e^(2x)

Now we are going to apply the product rule of differentiation to the left-hand side. Let v = y and u = e^(2x)

So, v′ = y′ and u′ = 2e^(2x)

Now applying the product rule, we get:

e^(2x)y′ + 2e^(2x)y = 7/4e^(2x)2e^(2x)y + e^(2x)y′ = 7/4e^(2x)2e^(2x)y = -1/2 e^(2x) + C1y = -1/4 + C2e^(-2x)

Now substituting the initial value y(0) = -2C2 = -9/4

Putting the value of C2 in the above equation, we get:

y = -1/4 - (9/4)e^(-2x)

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The fraction of your daily value of calcium in 1 cup of the snack food is 4/3.

Given information:

If 3/4 fraction of a cup of a snack food gives you your daily value of calcium

To find:

what fraction of your daily value of calcium is in 1 cup of the snack food?

Solution:

If 3/4 of a cup of a snack food gives you your daily value of calcium, then 1/4 of a cup of a snack food would give you 1/3 of the daily value of calcium.

Now, 1 cup of the snack food would give you four times that amount of 1/3 of the daily value of calcium.

Thus, the fraction of daily value of calcium in 1 cup of the snack food would be 4 x 1/3= 4/3

Answer: Therefore, the fraction of your daily value of calcium in 1 cup of the snack food is 4/3.

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