9. Derrick Zoolander is working in the mines for $8.00 per hour, but he get overtime for every hour over 40 hours.
The overtime is time and a half, so he gets paid $12.00 per hour for overtime. Fill in the table and graph the
values. Then create a piecewise function that tracks the hours he works(x-values) to the money makes(y-values).
X(hours) Y(money)

Answer:

$ 12 × 40/hr = $ 480

$ 588- $ 480 = $ 108 left over

12 × 1.5 = $ 18 OT rate

108 ÷ 18 = 6 hrs of OT

Answer:

M = -2

Step-by-step explanation:

The slope of a line parallel to line B is -2.

To find the slope of a line parallel to line B, we need to determine the slope of line B first.

The slope of a line can be calculated using the formula:

\(slope = (y_2 - y_1) / (x_2 - x_1)\)

Let's use the given points (4, 5) and (2, 9) to calculate the slope of line B:

slope of line B = (9 - 5) / (2 - 4) = 4 / (-2) = -2

Since lines that are parallel have the same slope, the slope of any line parallel to line B will also be -2.

To know more about slope, refer here:

https://brainly.com/question/30341797

#SPJ2

Answer: x = 5 2/3 - 3 1/3

Step-by-step explanation:

From the question, we are informed that Shelly has a beaker which contains 5 2/3 fluid ounces of water and that she pours out 3 1/3 fluid ounces of water. The expression that an be used to find the number of fluid ounces of water which remain in the beaker goes thus:

Let's represent the remaining water in the beaker as x.

Since 3 1/3 fluid ounces of water has been poured our from 5 2/3 fluid ounces of water. The expression will be:

x = 5 2/3 - 3 1/3

Answer:

A

Step-by-step explanation:

It's A on edge

Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

Statistics uses variance to measure variation. The square root with that number is used to compute the average variation here between data and the mean. In contrast to certain other quantifiable measures of variability, it takes into account all datasets in its calculations by comparing each result to the mean. Variations could be caused by internal or external forces, and they might involve things like unintended mistakes, inflated expectations, and shifting economic or commercial conditions.

Here,

Given :

Standard deviation is 12.59, with a mean of 54.11

X=48

employing the z-formula

=> z = x -u / α

Values are replaced to produce

=> z = 48 -54.11/12.59

the z value is

z= - 0.4853

As a result, it can be shown that the value of x=48 is 0.4853 standard deviations away from the mean.

Therefore , the solution of the given problem of standard deviation comes out to be the value of x=48 is 0.4853 standard deviations away from the mean.

To know more about standard deviation visit :-

brainly.com/question/13673183

#SPJ4

The complete question is " The annual rainfall in a town has a mean of 54.11 inches and a standard deviation of 12.59 inches. Last year there was rainfall of 48 inches. How many standard deviations away from the mean is that? Round your answer to two decimal places."

Answer:

The first option 5/12 - 1/6

Step-by-step explanation:

5/12 - 1/6

Just open the parenthesis and be careful of the signs.

Answer:

it's c

Step-by-step explanation:

c is the answer becuse its showing u that ob is perpenlicular to Ac

The area under the standard normal curve between z = 0.5 and z = 1.4, denoted as P(0.5 < z < 1.4), can be found using the cumulative distribution function (CDF) of the standard normal distribution. The correct answer for this probability is option iii. 0.9192.

To calculate P(0.5 < z < 1.4), we need to find the probability of z being less than 1.4 (P(z < 1.4)) and subtract the probability of z being less than 0.5 (P(z < 0.5)) from it. By using a standard normal distribution table or a statistical software, we can find that P(z < 1.4) is approximately 0.9192 and P(z < 0.5) is approximately 0.3085. Therefore, P(0.5 < z < 1.4) is approximately 0.9192 - 0.3085 = 0.6107.

In summary, the correct answer for P(0.5 < z < 1.4) is option iii. 0.9192. This probability represents the area under the standard normal curve between z = 0.5 and z = 1.4. It can be calculated by subtracting the cumulative probability of z < 0.5 from the cumulative probability of z < 1.4.

Learn more about standard normal distribution here : brainly.com/question/30390016

#SPJ11

Answer:

D

Step-by-step explanation:

Answer:

the answer is: parallelograms are quadilaterals

George, being a Type A person, is characterized by high stress levels and a competitive nature. b) is prone to heart attacks in his thirties and forties because of his high stress level.

Type A personality refers to individuals who are ambitious, driven, and exhibit a high level of competitiveness. They often experience higher levels of stress and may engage in behaviors such as time urgency and impatience. While it is true that Type A individuals are more prone to heart attacks, the specific age range can vary.

In the case of George, the question states that he is prone to heart attacks in his thirties and forties. This is because the combination of high stress levels, competitive nature, and potentially other risk factors like poor diet, smoking, or lack of physical activity can increase the likelihood of cardiovascular problems at a relatively younger age.

However, the statement does not exclude the possibility of George being at risk of heart attacks in his seventies as well. While the risk may decrease with age due to lifestyle changes or medical interventions, it is still important for individuals with Type A personalities to manage their stress levels and adopt a heart-healthy lifestyle to reduce the overall risk of heart disease throughout their lives.

Learn more about combination here:

https://brainly.com/question/28065038

#SPJ11

George is considered a Type A person. He is suffering from heart attacks  due to high level of stress and anxiety. Select the suitable options.

He a) has a low level of adrenaline b) is prone to heart attacks in his thirties and forties because of his high stress level. c) is prone to heart attacks in his seventies d) is not competitive

Answer:

ai) n(E⋂C) = ∅ = null

n(E⋂G) = 4

aii) see attachment

bi) n(C⋂G) = x = 1

bii) n(G) only = 3

Step-by-step explanation:

Let chemistry = C

Economic = E

Government = G

n(E) = 12

n(G) = 8

n(C) = 7

ai) number of pupils for economics and chemistry = 0

number of pupils for economics and government = 4

The set notation for both:

n(E⋂C) = ∅ = null

n(E⋂G) = 4

aii) find attached the Venn diagram

bi) n(C⋂G) = ?

Let number of n(C⋂G) = x

From the Venn diagram

n(C) only = 12-4 = 8

n(G) only = 8-(4+x) = 4-x

n(E) only = 7-x

n(E⋂C⋂G) = 0

n(E⋂C) = 0

n(E⋂G) = 4

Total: 8+ 4-x + 7-x + x + 0+0+4 = 22

23 -x = 22

23-22 = x

x = 1

n(C⋂G) = x = 1

Number of pupils that take both chemistry and government = 1

(bii) government only = n(G) only = 4-x

n(G) only = 4-1 = 3

Number of students that take government only = 3

Answer:

(f-g)(x)=4x^2+1-x^2+5

=3x^2+6

=3(x^2+2)

Using the formula for volume of cube and with the provided volume and side, the answer is 6cm.

A cube is a three-dimensional solid object in geometry that is surrounded by six square faces, facets, or sides, three of which meet at each vertex.

We get the volume of a cube by thrice multiplying the side length.

Suppose we have a side length of cube = l cm

The required formula is for volume is:

\(V = l ^ {3}\)

As per question, the side length of cube = z

l=z

V = z³

V=216 ³

\(l=\sqrt[3]{216}\)

\(l=6cm\)

To learn more about cubes visit:

https://brainly.com/question/11168779

#SPJ1

The value of the expression y/x 2 to the second power is y^2/x^4

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

y/x 2 to the second power

Rewrite the above expression properly as:

y/x^2 to the second power

The second power means ^2

So, we have

(y/x^2)^2

Evaluate

y^2/x^4

Hence, the value of the expression y/x 2 to the second power is y^2/x^4

Read more about expressions at

https://brainly.com/question/22019327

#SPJ1

When bound to CR1 (complement receptor 1), C3b is cleaved by Factor I, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

The complement system is a part of the immune system that plays a crucial role in recognizing and eliminating pathogens. C3b is a component of the complement system that can opsonize pathogens, marking them for phagocytosis by immune cells. When C3b binds to CR1, which is present on B cells, the cleavage of C3b occurs. This cleavage is performed by an enzyme called Factor I, which is regulated by co-factors such as membrane cofactor protein (MCP). Factor I acts by proteolytically cleaving C3b into smaller fragments, resulting in the generation of pathogen-associated B-cell co-receptor ligands.

These pathogen-associated B-cell co-receptor ligands play a role in the activation of B cells, promoting their immune response against the pathogen. By cleaving C3b, Factor I helps regulate and fine-tune the complement system, ensuring an appropriate immune response while preventing excessive inflammation or damage to host tissues.

Learn more about Factor here:

https://brainly.com/question/14549998

#SPJ11

Now

the function is

\(\\ \rm\hookrightarrow y=30x+45\)

The given statement can be formulated as follows: A batch of 150 iPads is inspected by choosing a sample of four iPads. Eight of the 150 iPads do not conform to specifications.

How many samples of four contain exactly one non-conforming iPad?

Let's solve the given problem step by step.

Step 1: We have 8 non-conforming iPads and 142 conforming iPads in the batch of 150 iPads. We need to find the number of ways to choose 4 iPads that include exactly one non-conforming iPad.

Step 2: We choose one non-conforming iPad in 8 ways and choose 3 conforming iPads in 142C3 ways, where nCk is the number of ways to choose k objects from n distinct objects without regard to order.

Thus the total number of ways to choose 4 iPads with exactly one non-conforming iPad is given by:

=8 × 142C3

\(8 \times \frac{142 \times 141 \times 140}{3 \times 2 \times 1}\)

= 2,107,280

Therefore, there are 2,107,280 samples of four that contain exactly one non-conforming iPad.

To know more about non-conforming iPad visit:

https://brainly.com/question/32637943

#SPJ11

Let's calculate the products and check if they indeed have the same value:

Product of 32 and 46:

32 * 46 = 1,472

Reverse the digits of 23 and 64:

23 * 64 = 1,472

As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.

To find two other pairs of two-digit numbers that have this property, we can explore a few examples:

Product of 13 and 62:

13 * 62 = 806

Reversed digits: 31 * 26 = 806

Product of 17 and 83:

17 * 83 = 1,411

Reversed digits: 71 * 38 = 1,411

As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.

For example, let's consider the pair 25 and 79:

A = 2, B = 5, C = 7, D = 9

The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.

Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.

since r is so widely used, it is appropriate to calculate r for nonlinear data: False.

The calculation of r (Pearson's correlation coefficient) is based on the assumption that the relationship between the two variables is linear. Therefore, it is not appropriate to calculate r for nonlinear data as it may give misleading results.

In summary, it is not appropriate to calculate r for nonlinear data as it assumes a linear relationship between the variables. Other methods such as Spearman's rank correlation or Kendall's tau may be used for nonlinear data.


n: The correlation coefficient 'r' is specifically designed to measure the strength and direction of a linear relationship between two variables. While it is widely used, calculating 'r' for nonlinear data is not appropriate, as it will not accurately capture the true nature of the relationship between the variables.

When dealing with nonlinear data, it is better to use other statistical methods designed for such data, rather than relying on the correlation coefficient 'r'.

To know more about nonlinear, visit:

https://brainly.com/question/31510530

#SPJ11

The ratios involved in the ROI formula are the net profit and the investment cost.

The ROI (Return on Investment) formula includes the following ratios:

Net Profit: The net profit represents the profit gained from an investment after deducting expenses, costs, and taxes.

Investment Cost: The investment cost refers to the total amount of money invested in a project, including initial capital, expenses, and any additional costs incurred.

The ROI formula is calculated by dividing the net profit by the investment cost and expressing it as a percentage.

ROI = (Net Profit / Investment Cost) * 100%

Therefore, the ratios involved in the ROI formula are the net profit and the investment cost.

for such more question on  net profit

https://brainly.com/question/4177260

#SPJ8

The probability that the sample mean will be between $10 and $10.2 is approximately 0.3144 or 31.44%.

To calculate the probability that the sample mean will be between $10 and $10.2, we need to use the properties of the sampling distribution of the sample mean. Under certain assumptions (e.g., a large sample size or normality of the population distribution), the sampling distribution of the sample mean follows a normal distribution.

Given that the population mean is $10.2 and the population standard deviation is $1.4, we can use the Central Limit Theorem to approximate the distribution of the sample mean. The Central Limit Theorem states that for a sufficiently large sample size, the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution.

In this case, the sample size is 39, which is considered reasonably large. Therefore, we can approximate the distribution of the sample mean as a normal distribution with a mean of $10.2 and a standard deviation of σ/√n, where σ is the population standard deviation and n is the sample size.

The standard deviation of the sample mean is calculated as follows:

Standard deviation of the sample mean = σ/√n = 1.4/√39 ≈ 0.224

To find the probability that the sample mean will be between $10 and $10.2, we need to calculate the z-scores for both values and then use the standard normal distribution (z-distribution) to find the probability.

The z-score for $10 is calculated as follows:

z1 = (10 - 10.2) / (0.224) ≈ -0.893

The z-score for $10.2 is calculated as follows:

z2 = (10.2 - 10.2) / (0.224) = 0

Now, we can use a standard normal distribution table, calculator, or software to find the probabilities associated with these z-scores.

The probability that the sample mean will be between $10 and $10.2 is equal to the probability of having a z-score between -0.893 and 0.

Using a standard normal distribution table or calculator, the probability can be calculated as follows:

P(-0.893 ≤ Z ≤ 0) ≈ P(Z ≤ 0) - P(Z ≤ -0.893)

Looking up the values in a standard normal distribution table or using a calculator, we find:

P(Z ≤ 0) ≈ 0.5 (probability of being less than or equal to the mean)
P(Z ≤ -0.893) ≈ 0.1856

Therefore,

P(-0.893 ≤ Z ≤ 0) ≈ 0.5 - 0.1856 ≈ 0.3144

Hence, the probability that the sample mean will be between $10 and $10.2 is approximately 0.3144 or 31.44%.

To know more probability click-
http://brainly.com/question/24756209
#SPJ11

Answer:

Step-by-step explanation:

49.3488

Answer:

sjjejejejenenenwjjwnwnwnwnwnwn

Step-by-step explanation:

ewhw

Answer: can be fixed

Step-by-step explanation:

Answer:

  (2, 2) ⇒ (-2, 2)

  (-5, 6) ⇒ (-6, -5)

  (2, 6) ⇒ (-6, 2)

  (-5, 2) ⇒ (-2, -5)

Step-by-step explanation:

The new coordinates can be found using the transformation function for figures rotated 90° about the origin.

Rotation 90° (counterclockwise) about the origin can be described by ...

  (x, y) ⇒ (-y, x)

The end points of the diagonal that comes closest to the origin will be transformed to ...

  (2, 2) ⇒ (-2, 2)

  (-5, 6) ⇒ (-6, -5)

The other diagonal end points will be on the same horizontal and vertical lines as these.

  (2, 6) ⇒ (-6, 2)

  (-5, 2) ⇒ (-2, -5)

Answer:

31

Step-by-step explanation:

y=kx

The expression that is the best interpretation of the numerator in the given expression is option B. The numerator represents the difference between Charlene's quiz average and her lowest quiz grade.

A numerator is the top part of a fraction that represents the quantity being divided. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. The numerator represents the number of parts being considered out of the total number represented by the denominator.

Therefore, the expression that expresses the interpretation of the numerator in the given expression is option B.

learn more about numerator: https://brainly.com/question/1217611

#SPJ1

Step-by-step explanation:

The assertion that which shows that P(k + 1) is true provided Pk in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

Given that P(n) be the assertion

∑j² = n (n+1)(2n+1)/6

(a) For n = 3, we get

∑j² = 1² + 2²+3² =14

= 3(3+1)(6+1)/6

=14

Hence, P(3) is true.

(b) Expression for P(k) may take the form

∑j² = k (k+1)(2k+1)/6

(c) Expression for P(k + 1) may take the form

∑j² = (k+1) (k+2)(2k+3)/6

(d)Base case:

In base case, we must prove that P(1) is true.

(e) To prove P(n) will be true for every positive integer n, we need to prove that P(k + 1) is true in the inductive step, where k is a positive integer.

(f) In the Inductive step, the Inductive hypothesis is that Pk is true for positive integer k.

(g)Base case:

a) For n=1, we get

RHS= 1(1+1)(2+1)/6

=1

Hence, P(1) is true.

Inductive hypothesis:

Assume P(k) is true:

∑j² = k (k+1)(2k+1)/6

Inductive step:

Now,

∑j² = k (k+1)(2k+1)/6 +(K+1)²

which shows that P(k + 1) is true provided P(k) in the Inductive step is true. Moreover, P(1) is also true. Hence, by induction principle, we can say that P(n) is true for all positive integer n.

To learn more about Natural Numbers visit:

brainly.com/question/17429689

#SPJ4