A man receives a rate of $3.00 per hour for a 40-hour work week. If he receives 1.5 times the regular rate for overtime, how much will he earn working a 50-hour week?

Answer:

5000 worth car after 5 years

The answer choice which explains why the inequality is true is; When 7 3/8 is multiplied by a number less than 1, the product is less than 7 3/8.

As evident in the task content; the given inequality is; 7 ⅜ x 4/5 < 7 ⅜.

By observation, it follows that 7 ⅜ is common to both sides of the inequality.

However, the fraction 4/5 is less than 1.

Hence, it follows that; When 7 ⅜ is multiplied by a number less than 1, the product is less than 7 ⅜.

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By taking the quotient between the change in the money and the total time in which the change of money happened, we conclude that the  average weekly change is $35/2, so the correct option is B.

The average weekly change will be given by the quotient between the change in the money and the total time in which the change of money happened.

We know that the initial amount of money is $150, and at the end he has $80, so the difference in money is:

d = $80 - $150 = -$70

The negative sign is because the amount of money decreases.

While it happens four weeks after, then the average weekly change in the amount of money is:

A = $70/4 = $35/2

So we conclude that the correct option is B.

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Answer:

Step-by-step explanation:

$15 × 0.75 × 1.04 = $11.70

$25 × 0.75 × 1.04 = $19.50

$37 × 0.75 × 1.04 = $28.86

$65 × 0.75 × 1.04 = $50.70

Answer: 13.6

Step-by-step explanation:

subtract the lowest number from the highest number to find the range. in this case, the data range is 25.6−12=13.6

Answer:

a = 4

b = 10

Step-by-step explanation:

Price of an apple $1.25

Price of a banana $0.5 0

The two equations:

10 = 1.25a + 0.5b

a + b = 14

solve for one variable

b = 14 - a

10 = 1.25a + 0.5(14-a)

10 = 1.25a+ 7 - 0.5a

10 = 0.75a + 7

0.75a = 3

a = 4

Then solve for the second

b = 14 - 4

b = 10

True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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In all, add 43 more times 5 and divide by 12 to get 58. Hence, the final response is 87.

We can employ the order of operations, which is a set of guidelines for carrying out computations in a mathematical problem. The sequence of events is:

Any calculations should be done first inside the parentheses.

Exponents (ie powers and square roots, etc) (ie powers and square roots, etc.)

Division and Exponentiation (from left to right)

Subtraction and Addition (from left to right)

These guidelines allow us to piecemeal the solution to the issue. 43 is first multiplied by 5 for a total of 215. The result of 215 divided by 12 is 17.91666667. We can round it to 18 since we don't want to utilize this large figure. 11 is then added to give us 29.

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Simplify 43 + 5/12+11+43 5/12+11

!! for 2 and 3 these values are rounded

1) 693.5/18,250 = .038 x 100% = 3.8% commission

2) ~118.5%  --- divide tip/meal then x 100%

3) ~21.33%   divide sale price/over org., then subtract by 100%

Answer:

14,850 ways

Step-by-step explanation:

Since the order does not matter, the number of possible committees is given by the product of the combination of picking 2 out of 10 faculty members and the combination of picking 4 out of 11 students:

\(n= \frac{10!}{(10-2)!2!}* \frac{11!}{(11-4)!4!}\\n=\frac{10*9}{2}*\frac{11*10*9*8}{4*3*2*1}\\n=14,850\)

The committee can be formed in 14,850 ways

The Variance Inflation Factor (VIF) measures the degree of correlation or the collinearity of the explanatory variables.

VIF quantifies how much each explanatory variable is correlated with a linear combination of the other variables in a multiple regression model. This can help identify variables that are redundant, irrelevant, or harmful to the model's accuracy. The VIF is calculated for each explanatory variable by dividing the variance of the regression coefficient estimates by the variance of the regression coefficient estimates when that variable is excluded from the model.

If the VIF is greater than 1, it indicates that the variance of the regression coefficient estimate for that variable is inflated by the presence of the other variables, which reduces the model's accuracy. Therefore, a VIF greater than 1 is considered to be an indication of collinearity or multicollinearity in the explanatory variables. The VIF measures the degree of correlation or the collinearity of the explanatory variables, and it can identify variables that are redundant, irrelevant, or harmful to the model's accuracy.

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The general form of an exponential decay function is f(a) = P . (1 - r)ᵃ, hence a function is an exponential decay if the factor (1 - r) is less than 1.

The general exponential decay function can be written as:

f(a) = P . (1 - r)ᵃ

Where:

P = initial quantity

f(a) = remaining quantity at time a

a = time period

r  = decay rate

(1 - r) = decay factor

On the other hand, the general exponential growth function can be written as:

f(a) = P . (1 + r)ᵃ

Hence, the difference between decay function and growth function is: the factor in decay faction is less than 1, while in growth function, the factor is greater than 1.

Example:

f(a) = 6 . (0.25)ᵃ

This is an exponential decay function because the factor is less than 1, that is 0.25

f(a) = 10 . (3)ᵃ

This is not an exponential decay function, but a growth function,  because the factor is greater than 1, that is 3

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Answer:

Option C - 4.71

Step-by-step explanation:

We are given the Test statistic for proportion as;

z = (^p − p)/√pq/n

From the question;

^p = 0.15

p = 0.1

q = 1 - 0.1 = 0.9

n = 800

z = (0.15 - 0.1)/√(0.1 × 0.9/800)

z = 0.05/√(0.09/800)

z = 4.71

To find the probability that the mean years of education for a sample of 35 people is at least 12 years, we need to use the Central Limit Theorem (CLT) and the properties of the normal distribution.

Given:

- Mean (μ) of the population = 13.2 years

- Standard deviation (σ) of the population = 2.96 years

- Sample size (n) = 35

Using the CLT, we know that for a sufficiently large sample size (n ≥ 30), the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

To calculate the probability, we need to standardize the sample mean using the z-score formula and then find the corresponding area under the standard normal curve.

Step 1: Calculate the standard error of the mean (SE):

SE = σ / √n

SE = 2.96 / √35

SE ≈ 0.5013

Step 2: Calculate the z-score for the given mean of 12 years:

z = (x - μ) / SE

z = (12 - 13.2) / 0.5013

z ≈ -2.395

Step 3: Find the area under the standard normal curve for z ≥ -2.395:

P(z ≥ -2.395) can be obtained using a standard normal distribution table or a calculator. The corresponding area is approximately 0.9911.

Therefore, the probability that the mean years of education for a sample of 35 people is at least 12 years is approximately 0.9911, or 99.11%.

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Given information:v.magnitude = 3v makes an angle with positive x-axis.The angle made by v with the positive x-axis is 150°.v is in the direction 4i + 3j.Solution: We have to find the component form of v.

Let's represent the given information on a graph:From the above graph, we can say that v makes an angle of 30° with negative y-axis.The angle between v and the negative y-axis = 180° - 30° = 150°Let's find the magnitude of v:Let v be (x,y).v = x i + y j

Magnitude of v, |v| = √(x² + y²) = 3 Therefore, x² + y² = 3² = 9 ...(1)Angle made by v with negative y-axis, θ = 30°∴ The angle made by v with positive x-axis, α = 150° - 90° = 60°sinθ = y/|v|y = 3 sinθ = 3 sin(30°) = 1.5From equation (1),x² + 1.5² = 9x² = 9 - 2.25 = 6.75x = ± √6.75Since v makes an angle of 150° with the positive x-axis, the vector v lies in the second quadrant. Therefore, x is negative.So, x = - √6.75 and y = 1.5Hence, the component form of v is:(- √6.75, 1.5).Thus, the component form of v is (- √6.75, 1.5).

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Answer:

Any number less than -17

Step-by-step explanation:

Subtract 9 from -8. Any number less than the total is less than -8.

-8 - 9 = -17

-17 + 9 = -8

Ex:

-18 + 9 < -8

-19 + 9 < -8

-20 + 9 < -8

Answer:

x < -17

Step-by-step explanation:

Do the inverse operation in the other side of the sign

Answer:B&D

Step-by-step explanation:

Answer: C. 15x25=375 meters^2

Step-by-step explanation: multiply the two numbered sides.

Answer:

where is the information?

Step-by-step explanation:

Answer:

47 zeros

Step-by-step explanation:

Coverage represents the percentage of the 10 intervals that cover the exact true population mean. This is because the Confidence Interval for a Mean is used to estimate the true population mean with a certain particular level of confidence.

The "cover" percentage in the app refers to the proportion of intervals that include the true population mean, while the "do not cover" percentage refers to the proportion of the intervals that do not include the true population mean.

Therefore, Coverage is a measure of how well the Confidence Interval for a Mean is able to capture the true population mean.

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An algebraic expression (or) a variable expression is a combination of terms by operations such as addition, subtraction, multiplication, and division. For example, let's look at the expression 5x + 7.

Algebraic Expression:

Algebraic expressions are mathematical expressions that result when you perform operations such as addition, subtraction, multiplication, and division on variables and constants. For example, let's say James and Natalie were playing with matches and wanted to create a pattern of numbers in matches. James played four games and formed No. 4. Natalie added three more games and two he formed a pattern of four. They realized they could add 3 matches to each round to get an extra '4'. From this, they concluded that, in general, 4 + 3 (n-1) double crochet stitches are required to create n 4 patterns. Here 4+ 3(n-1) is called an algebraic expression. To solve a linear equation with one variable, use the transpose method. Follow this procedure to perform the same operations on both sides of the equal sign. That is, perform operations to isolate variables.

Example:

5x + 7 = 32

Subtract 7 from both sides

⇒ 5x = 25

Divide both sides by 5

⇒ x = 5

⇒ 5x = 25

Divide both sides by 3

⇒ 2y – 12 = 24

Add 12 to both sides

⇒ 2y = 36

Divide both sides by 2

⇒ y = 18.

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The indefinite integral of x√(x-9) dx is \((2/5)(x-9)^{(5/2)} + 2(x-9)^{(3/2)} + C\), where C is the constant of integration.

To find the indefinite integral of ∫x√(x-9) dx, we can use the substitution method.

Let u = x - 9, then du = dx.

Substituting these values into the integral, we have:

∫x√(x-9) dx = ∫(u + 9)√u du

Expanding the expression, we get:

∫(u√u + 9√u) du

Now we can integrate each term separately:

∫u√u du = ∫ \(u^{(3/2)}\) du = \((2/5)u^{(5/2)} + C1\)

∫9√u du = 9∫ \(u^{(1/2} du\) = \(9(2/3)u^{(3/2) }+ C2\)

Combining the results and substituting back u = x - 9, we have:

∫x√(x-9) dx = \((2/5)(x-9)^{(5/2)} + 9(2/3)(x-9)^{(3/2) }+ C\)

Simplifying further, we get:

∫x√(x-9) dx = \((2/5)(x-9)^{(5/2) }+ (6/3)(x-9)^{(3/2)} + C\)

                  = \((2/5)(x-9)^{(5/2)} + 2(x-9)^{(3/2)} + C\)

Therefore, the indefinite integral of x√(x-9) dx is\((2/5)(x-9)^{(5/2)} + 2(x-9)^{(3/2)} + C\), where C is the constant of integration.

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Answer:

6x^2 + 35x + 36

Step-by-step explanation:

(2x + 9) (3x + 4)

6x^2 + 8x + 27x + 36

6x^2 + 35x + 36

Answer: 6x^2 + 35 + 36

Step-by-step explanation: i took the test !

Answer:

0.1 I think

Step-by-step explanation:

Answer:

Responsiveness to the environment or reaction to stimuli

Step-by-step explanation:

The characteristics displayed by the deer is referred to as responsiveness to the environment or response to stimuli.

All living things show some degree of responsiveness to changes in their environment. Living things respond in different ways to a particular stimuli, take for example, the response of the deer. The deer senses danger as it seems Molly when Molly stepped on the twink making it to snap. This puts the deer in red alert which made it bounds away.

✅Responsiveness to the environment or reaction to stimuli is what the deer displayed in this instance.

Answer:

THat poor twink

Step-by-step explanation:

HIS BF will miss himm

Answer:

3

Step-by-step explanation:

Answer:

2.67

Step-by-step explanation:

Find the number in the hundredth place

6

and look one place to the right for the rounding digit

6

. Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

The effect on net income with a 3 percent reduction in material costs is a decrease of $150,000. The effect on net income with a 15 percent increase in sales is an increase of $1,200,000.

To calculate the effects on net income, we need to consider the impact of the changes in material costs and sales on the company's financials.

First, let's calculate the effect of a 3 percent reduction in material costs. The current material costs are $5,000,000, so a 3 percent reduction would be 0.03 * $5,000,000 = $150,000. Since material costs are an expense, a reduction in material costs would lead to a decrease in expenses, which in turn would increase net income by the same amount.

Next, let's calculate the effect of a 15 percent increase in sales. The current sales are $8,000,000, so a 15 percent increase would be 0.15 * $8,000,000 = $1,200,000. An increase in sales would directly increase revenue, leading to an increase in net income.

Therefore, the effects on net income with a 3 percent reduction in material costs is a decrease of $150,000, and the effect with a 15 percent increase in sales is an increase of $1,200,000.

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Answer:

i cant see the link try reposting

Step-by-step explanation:

Answer:

35%

Step-by-step explanation: