Debra Strand’s regular hourly wage rate is $14, and she receives an hourly rate of $21 for work in excess of 40 hours. During a January pay period, Debra works 48 hours. Debra’s federal income tax withholding is $89, and she has no voluntary deductions. Assume that the FICA tax rate is 7.65%

The calculated value of the probability of B is (c) 0.25

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

P(A or B) = 0.3

P(A and B) = 0.2

P(A/B) =0.8

First, we have

P(A/B) = P(A and B)/P(B)

Substitute the known values in the above equation, so, we have the following representation

0.2/P(B) = 0.8

So, we have

P(B) = 0.2/0.8

Evaluate

P(B) = 0.25

Hence, the probability of B is 0.25

Read more about probability at

https://brainly.com/question/31649379

#SPJ1

Answer:

Step-by-step explanation:

4*(n +5) - 2*(5 + 7n) = -70

4*n + 4*5 + 5*(-2) + 7n*(-2) = -70

4n + 20 - 10 - 14n = -70

4n - 14n + 20 - 10 = -70

- 10n + 10 = -70

Subtract 10 from both sides

-10n = -70 - 10

-10n = -80

Divide both sides by (-10)

n = -80/-10

n = 8

Step-by-step explanation:

sjbsbsbeekejebebheebebejekek

B. items in A and B

Step-by-step explanation:

the overlapping part is what they both have in common

We are given the following information

Deposit amount = P = $37,000

Accumulated amount (or ending balance) = A = $40,871.02

Interest rate = r = 4% = 0.04

Compounding interval = n = 4 (quarterly)

We are asked to find the number of years (t)

Recall that the compound interest formula is given by

A = Accumulated amount (or ending balance)

P = Principle amount (or deposit amount)

r = Interest rate in decimal

n = Number of compounding in a year

t = Number of years

Now let us substitute the given values into the above formula and solve for (t)

Now take log on both sides

Therefore, it would take 2.5 years

The formula for the variance of the binomial distribution is o = √npq

Equating the value is the equation

o = √npq,

\(o = \sqrt{80\times1\times\0.4}\)

o = 5.6568

The binomial distribution is defined as the number of trials or observations when each trial has the same probability of reaching a certain value. The binomial distribution determines the probability of observing a certain number of successful outcomes for a given number of trials.

The binomial distribution model allows us  to calculate the probability of observing a certain number of "successes" if a process is repeated a certain number of times (eg, in a patient population) and the result for a given patient is either successful. or failure.

To learn more about binomial distribution, refer;

https://brainly.com/question/14565246

#SPJ13

Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

Answer: The beef costs $3/lb

Step-by-step explanation: in order: 2x$4=8,  20-8=12,   12/4=3

Answer:

9.95%

Step-by-step explanation:

Answer:

A: 10,000 residents to 25 police officers

Step-by-step explanation:

400*25=10,000

Answer:

A

Step-by-step explanation:

Self explanatory

Answer: b

Step-by-step explanation: i just did this one on a algebra 1b assignment lol

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

For more questions on Product .

https://brainly.com/question/30404163

#SPJ8

Answer:

360÷9+51÷3×4-5×24

40+17×4-5×24

40+68-120

108-120

-12

using BODMAS rule

Answer: D

Step-by-step explanation:

2x-36=0                                                

+36     +36

___________

2x=36

x=18

Even if one equation, -18 was not solved, you can easily cross out the ones without 18 and get the answer.

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

Answer: tan^-1(5/8) = 32 degrees from horizontal line

Step-by-step explanation: tan (Alfa) = 2000 / 3200 because

Angle from horizontal line. 2000/3200 = 20/32 = 5/8

Answer:

Step-by-step explanation:

In math some strengths are strong number sense, like being able to quickly compare groups of items and know which is larger and which is smaller. Weakness in math are incomplete mastery of number facts and difficulty transferring knowledge along with making connections.

The equation that represent the given situation is y = 15x + 70

When she plants 3 stalks, each plant yields 115 ounces of beans

The first point = (3, 115)

When she plants 8 stalks, each plant yields 190 ounces of beans

The second point = (8, 190)

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

Substitute the values in the equation

The slope of the line m = (190-115) / (8-3)

= 75/5

= 15

The point slope form is

\(y-y_1=m(x-x_1)\)

Choose one point and substitute the values in the equation

y - 115 = 15(x - 3)

y - 115 = 15x - 45

y = 15x - 45 + 115

y = 15x + 70

Hence, the equation that represent the given situation is y = 15x + 70

Learn more about slope of the line here

brainly.com/question/16180119

#SPJ1

Answer:

a is the right answer Alexis

Step-by-step explanation:

Using the exponential function we can rewrite the expression as:

\(H = 10^{-4}\)

Here we start with the equation:

log₁₀(H) = -4

We can rewrite the logarithm part as follows:

log₁₀(H) = ln(H)/ln(10)

Then we can rewrite:

ln(H)/ln(10) = -4

ln(H) = -4*ln(10)

Now we can move the coefficeint -4 as a exponent:

\(ln(H) = ln(10^{-4})\)

Now apply the exponential equation to both sides:

\(exp(ln(H)) = exp(ln(10^{-4}))\)

\(H = 10^{-4}\)

That is what we wanted.

Learn more about logarithms at:

https://brainly.com/question/13473114

#SPJ1

Answer:

3 pints or 1.5 quarts

Step-by-step explanation:

1 quart has 2 pints, so each pitcher holds 4 pints -- 12 pints all together. So 15-12 = 3 pints that will not fit into the pitchers. 3 pints is equal to 1.5 quarts!

Answer:

x>3,x<−4

Um okay, you first subtract one from both sides and then you'll have to solve a negative equation and a positive one thats why there are 2 answers. I don't really know how to explain sorry!

Answer: (1) x<-4 or x>3

Rearrange unknown terms to the left side of the equation: |18x+9|+1>64-1

Calculate the sum or difference: |18x+9|>63

Convert the absolute inequality to standard inequality: 18x+9>63 or 18x+9<-63

Reduce the greatest common factor for both sides of the inequality: 2x+1>7

Rearrange unknown terms to the left side of the equation: 2x>7-1

Calculate the sum or difference: 2x>6

Reduce the greatest common factor for both sides of the inequality: x>3

Reduce the greatest common factor for both sides of the inequality: 2x+1<-7

Rearrange unknown terms to the left side of the equation: 2x<-7-1

Calculate the sum or difference: 2x<-8

Reduce the greatest common factor for both sides of the inequality: x<-4

Find the union: x<-4 or x>3

Answer: x<-4 or x>3

The expression that should be used is tan 67° = 210/x, tan 23° = x/210.

Given is a figure, we need to find the value of x,

So, the figure is creating a right triangle, the angle of elevation is equal to the angle of depression,

So, the two acute angles in the triangle will be 23° and 67°.

Also, the tangent of an angle is equal to the ratio of the perpendicular side to the base,

Taking 67° as reference angle, we get,

Tan 67° = x / 210

Taking 23° as reference angle, we get,

Tan 23° = 210/x

Hence the expression that should be used is tan 67° = 210/x, tan 23° = x/210.

Learn more about tangent of an angle click;

https://brainly.com/question/18940349

#SPJ1

Answer:

It began after the stock market crash of October 1929, which sent Wall Street into a panic and wiped out millions of investors. Over the next several years, consumer spending and investment dropped, causing steep declines in industrial output and employment as failing companies laid off workers.

Answer:

Conclusion

   There is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

Step-by-step explanation:

From the question we are told that

   The population mean for EBR is  \(\mu_ 1 = \$239,000\)

    The sample mean for Ascension parish  is \(\= x_2 = \$246,000\)

   The  p-value  is  \(p-value = 0.045\)

     The level of significance is  \(\alpha = 0.01\)

The null hypothesis is  \(H_o : \mu_2 = \mu_1\)

The  alternative hypothesis is  \(H_a : \mu_2 > \mu_1\)

Here \(\mu_2\) is the population mean for Ascension parish

   From the data given values we see that  

          \(p-value > \alpha\)

So we fail to reject the null hypothesis

So we conclude that there is no sufficient evidence to conclude that the mean of the home prices from Ascension parish is higher than the EBR mean

The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.

The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:

Define the formula p(x, y) as x = yo(x).

This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.

Define the set F as {(x, x) (x)}.

This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.

Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.

This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.

The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.

Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.

For more such questions on explicit

https://brainly.com/question/30394385

#SPJ8

Answer:

the average weight  of one peach is 6.4 ounces

Step-by-step explanation:

10lb of peaches

16 ounces in a pound

10 x 16 = 160 ounces

divide 160 (ounces) by 25 (Peaches)  

= 6.4 ounces per peach

1. Number of athletes did not own any of the three items = 259 - 228

= 31.

2. Number of athletes own a convertible and a TV but not a store = 44 - 9

= 35.

3. Number of athletes own a convertible or a TV = 110 + 91 - 44

= 157.

4. Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

5. Number of athletes owned at least one type of item = 259 - 31

= 228

6. Number of athletes own a TV or a store, but not a convertible = 13 + 34 +71

= 118.

The number of athletes did not own any of the three items need to subtract the number of athletes who own at least one item from the total number of athletes surveyed.

Total number of athletes surveyed = 259

Number of athletes own at least one item = 110 + 91 + 120 - 15 - 43 - 44 + 9 = 228

Number of athletes who did not own any of the three items = 259 - 228 = 31.

The number of athletes who owned a convertible and a TV but not a store need to subtract the number of athletes who own all three items from the number of athletes who own a convertible and a TV.

Number of athletes who own a convertible and a TV = 44

Number of athletes who own all three items = 9

Number of athletes who own a convertible and a TV but not a store = 44 - 9 = 35

The number of athletes who owned a convertible, or a TV need to add the number of athletes who own a convertible to the number of athletes who own a TV and then subtract the number of athletes own both a convertible and a TV.

Number of athletes who own a convertible or a TV = 110 + 91 - 44

= 157.

The number of athletes owned exactly one type of item need to add up the number of athletes who own a convertible only the number of athletes own a TV only and the number of athletes who own a store only.

Number of athletes own a convertible only = 110 - 15 - 9 = 86

Number of athletes own a TV only = 91 - 44 - 9 = 38

Number of athletes own a store only = 120 - 15 - 43 - 9 = 53

Number of athletes owned exactly one type of item = 60 + 13 + 71 = 144.

The number of athletes who owned at least one type of item can use the result from part (1).

Number of athletes who owned at least one type of item = 259 - 31

= 228

The number of athletes who owned a TV or a store but not a convertible need to subtract the number of athletes who own all three items, and the number of athletes own a convertible and a TV from the number of athletes own a TV or a store.

Number of athletes own a TV or a store = 91 + 120 - 43 - 9 = 159

Number of athletes own a TV or a store not a convertible = 13 + 34 +71

= 118.

For similar questions on athletes

https://brainly.com/question/25631156

#SPJ11

Answer:

33.33%

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

so we add 1 and 3 together becuase since there are equal parts, we need to add to get the whole. so since the ration is 1:3, there are 1/4x cats thereate the show

Answer: 45

Step-by-step explanation:

The total profit in all was \(1040-900=\$ 140\).

The total profit per pizza was \((0.50)(8)=\$4\).

This means they sold \(\frac{140}{4}=35\) pizzas.

Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.