If ​P(B)​ =0.15 ​P(A | ​B) = ​0.80 ​P(B’​)​ =0.85 and​ P(A | B​) = ​0.40, find​ P(B |​ A).
P(B | ​A) =
Round to three decimal places as​ needed.

Answers

Answer 1

The probability of event B occurring given that event A has already occurred is 0.667.

We can use Bayes' theorem to calculate the probability of event B occurring given that event A has already occurred. Bayes' theorem states that the probability of event B occurring given that event A has already occurred is equal to the probability of event A occurring given that event B has already occurred times the probability of event B occurring divided by the probability of event A occurring.

In this case, we are given that the probability of event B occurring is 0.15, the probability of event A occurring given that event B has already occurred is 0.80, and the probability of event A occurring is 0.40.

We can plug these values into Bayes' theorem to get the following equation:

P(B | A) = (0.80) * (0.15) / (0.40) = 0.667

This means that there is a 66.7% chance that event B will occur given that event A has already occurred.

To round the answer to three decimal places, we get:

P(B | A) = 0.6670

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Related Questions

I need help please #23

I need help please #23

Answers

The answer of question 23 is 24

Answer:

24

Step-by-step explanation:

8%=8/100

& 8/100 of 60=4.8  ( "of" in mathematic means "multiply")

check if you get 4.8 by multiplying each of the given options by  1/5

1/5 0f 24=4.8

So 24 will be the ans

A 2-gallon container of laundry detergent costs $10.24. What is the price per fluid ounce?

Answers

Answer:

  $0.04

Step-by-step explanation:

The cost per ounce is found by dividing the cost by the number of ounces.

Solution

In 2 gallons, there are 2×128 fl.oz. = 256 fl.oz. Then the cost per ounce is ...

  cost/ounces = $10.24/(256 fl.oz) = $0.04 /fl.oz.

The cost of the laundry detergent is $0.04 per fluid ounce.

__

Additional comment

Keeping the units with the numbers in a calculation can give you confidence that the calculated result has the units you want it to have.

ilhan begin her training at 7:22 am. she crossed the finish line at 8:07 pm, after swimming 2.4 miles, cycling 112 miles and running 26.2 miles. find her average speed of the race

Answers

Ilhan's average speed in the race is 11.03 miles per hour.

What is the average speed?

The average speed is a scalar measure of the total distance divided by the total time.

The average speed shows an object's displacement rate from one point to another.

Speed measures the rate of fastness, while the average speed shows the average rate of fastness of an object in movement.

The average speed is measured in magnitude without direction as a scalar quantity.

Data and Calculations:

Beginning time for the race = 7:22 am

Ending time for the race = 8:07 pm

Time used = 12hours 45 minutes or 12.75 hours (8:07 pm - 7:22 am)

Distance:

Swimming 2.4 miles

Cycling 112 miles

Running 26.2 mile

Total distance = 140.6 miles

Average speed = Distance/Time

= 11.03 miles per hour (140.6/12.75)

Thus, Ilhan's average speed in the race is 11.03 miles per hour.

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25% of__Is 10.

Help me!!!!!!!!!

Answers

Answer:

40

Step-by-step explanation:

40 divided by 1/4 = 10

25% = 1/4

Answer:

40

Step-by-step explanation:

We Know

25% of x is 10

Find x

We Take

10 x 4 = 40

So, 25% of 40 is 10

As a hospital administrator of large hospital, you are concerned with the absenteeism among nurses’ aides. The issue has been raised by registered nurses, who feel they often have to perform work normally done by their aides. To get the facts, absenteeism data were gathered for the last three weeks, which is considered a representative period for future conditions. After taking random samples of 70 personnel files each day, the following data were produced:
Day Aides Absent Day Aides Absent Day Aides Absent
1 2 6 3 11 6
2 4 7 7 12 6
3 6 8 7 13 12
4 2 9 1 14 2
5 6 10 2 15 2
Because your assessment of absenteeism is likely to come under careful scrutiny, you would like a type I error of only 1 percent. You want to be sure to identify any instances of unusual absences. If some are present, you will have to explore them on behalf of the registered nurses.
A) For the p-chart, find the upper and lower control limits. Enter your response rounded to three decimal places.
B) Based on your p-chart and the data from the last three weeks, what can we conclude about the absenteeism of nurses’ aides?
a) The proportion of absent aides from day 14 is above the UCL, so the process is not in control.
b) The proportion of absent aides from day 15 is below the LCL, so the process is not in control.
c) All sample proportions are within the control limits, so the process is in control.
d) The proportion of absent aides from day 13 is above the UCL, so the process is not in control.

Answers

A) To calculate the upper and lower control limits for the p-chart, we need to determine the overall proportion of absenteeism and the standard deviation. The overall proportion of absenteeism is calculated by summing up the total number of absences across all days and dividing it by the total number of observations (70 observations per day for 15 days). The standard deviation is then computed using the formula:

σ = sqrt(p * (1 - p) / n)

where p is the overall proportion of absenteeism and n is the sample size. With these values, we can calculate the control limits:

Upper Control Limit (UCL) = p + (3 * σ)
Lower Control Limit (LCL) = p - (3 * σ)

B) Based on the p-chart and the data from the last three weeks, we can conclude that:

c) All sample proportions are within the control limits, so the process is in control.

Since none of the sample proportions exceed the upper control limit or fall below the lower control limit, we can infer that the absenteeism of nurses' aides is within the expected range. There are no instances of unusual absences that would require further investigation on behalf of the registered nurses.

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1. Find symmetric equations for the line that passes through the point
(S1,25,6d) and is parallel to the vector k21,2,23I
(b) Find the points in which the required line in part (a) intersects the coordinate planes.
point of intersection with xy-plane
point of intersection with yz-plane
point of intersection with xz-plane
2. Find an equation for the plane consisting of all points that are equidistant from the points
(−6, 4, 1) and (2, 6, 5).
3. Find an equation of the plane.
The plane that passes through the point (−2, 1, 1) and contains the line of intersection of the planes
x + y − z = 3 and 4x − y + 5z = 5

Answers

1) a) The symmetric equations for the line is (x - 4) / -1 = (y + 4) / 4 = (z - 8) / -3

b) XY-plane is (4/3, 20/3, 0), YZ-plane is (0, 12, -4) and XZ-plane is (3, 0, 5).

2) The equation of the plane is 16x + 4y + 8z - 42 = 0.

3) The equation of the plane is -2x - 9y - 5z = 0.

1) Symmetric Equations for the Line:

a) To find the symmetric equations for the line that passes through the point (4, -4, 8) and is parallel to the vector (-1, 4, -3), we can use the parametric form of the line and then convert it into symmetric form.

Parametric Equations:

x = 4 - t

y = -4 + 4t

z = 8 - 3t

To convert these parametric equations into symmetric form, we eliminate the parameter 't' by setting up equations involving the ratios of differences of coordinates:

(x - 4) / -1 = (y + 4) / 4 = (z - 8) / -3

This gives us the symmetric equations for the line.

(b) Points of Intersection with Coordinate Planes:

To find the points in which the line intersects the coordinate planes, we substitute the appropriate values of coordinates into the equations of the line.

i) Intersection with XY-plane (z = 0):

Substituting z = 0 into the parametric equations, we get:

x = 4 - t

y = -4 + 4t

z = 8 - 3t

Setting z = 0, we have:

8 - 3t = 0

t = 8/3

Substituting t = 8/3 into the equations for x and y:

x = 4 - (8/3) = 4/3

y = -4 + 4(8/3) = 20/3

Therefore, the point of intersection with the XY-plane is (4/3, 20/3, 0).

ii) Intersection with YZ-plane (x = 0):

Substituting x = 0 into the parametric equations, we get:

x = 4 - t

y = -4 + 4t

z = 8 - 3t

Setting x = 0, we have:

4 - t = 0

t = 4

Substituting t = 4 into the equations for y and z:

y = -4 + 4(4) = 12

z = 8 - 3(4) = -4

Therefore, the point of intersection with the YZ-plane is (0, 12, -4).

iii) Intersection with XZ-plane (y = 0):

Substituting y = 0 into the parametric equations, we get:

x = 4 - t

y = -4 + 4t

z = 8 - 3t

Setting y = 0, we have:

-4 + 4t = 0

t = 1

Substituting t = 1 into the equations for x and z:

x = 4 - 1 = 3

z = 8 - 3(1) = 5

Therefore, the point of intersection with the XZ-plane is (3, 0, 5).

2) Equation for the Plane:

To find an equation for the plane consisting of all points equidistant from the points (-6, 4, 1) and (2, 6, 5), we can use the distance formula to set up an equation.

Let P(x, y, z) be a point on the plane.

The distance from P to (-6, 4, 1) should be equal to the distance from P to (2, 6, 5).

Using the distance formula, we have:

√[(x - (-6))² + (y - 4)² + (z - 1)²] = √[(x - 2)² + (y - 6)² + (z - 5)²]

Simplifying the equation gives:

(x + 6)² + (y - 4)² + (z - 1)² = (x - 2)² + (y - 6)² + (z - 5)²

Expanding and simplifying further:

x² + 12x + 36 + y² - 8y + 16 + z² - 2z + 1 = x² - 4x + 4 + y² - 12y + 36 + z² - 10z + 25

Rearranging the terms:

16x + 4y + 8z - 42 = 0

Therefore, the equation of the plane is 16x + 4y + 8z - 42 = 0.

3) Equation of the Plane:

To find the equation of the plane that passes through the point (-2, 1, 1) and contains the line of intersection of the planes x + y - z = 3 and 4x - y + 5z = 5, we can use the following steps:

Step 1: Find the direction vector of the line of intersection of the given planes.

To find the direction vector, we take the cross product of the normal vectors of the two planes.

The normal vector of the first plane, P1: (1, 1, -1)

The normal vector of the second plane, P2: (4, -1, 5)

The direction vector, D: P1 x P2

D = (1, 1, -1) x (4, -1, 5)

Using the cross product formula, we have:

D = ((1)(-1) - (-1)(1), (-1)(4) - (1)(5), (1)(-1) - (1)(4))

D = (-2, -9, -5)

So, the direction vector of the line of intersection is (-2, -9, -5).

Step 2: Use the point-direction form of the plane equation.

The equation of the plane passing through a given point (x0, y0, z0) with a direction vector (a, b, c) is given by:

a(x - x0) + b(y - y0) + c(z - z0) = 0

Substituting the values from the given information:

Point on the plane: (-2, 1, 1)

Direction vector: (-2, -9, -5)

The equation becomes:

(-2)(x - (-2)) + (-9)(y - 1) + (-5)(z - 1) = 0

(-2)(x + 2) - 9(y - 1) - 5(z - 1) = 0

-2x - 4 - 9y + 9 - 5z + 5 = 0

-2x - 9y - 5z = 0

Therefore, the equation of the plane is -2x - 9y - 5z = 0.

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Jon put a pie in the oven at 5:15 p.m. He took the pie out of the oven 35 minutes later. At what time did Jon take the pie out of the oven?

Answers

Answer: 5:50 PM

Step-by-step explanation:

5:15 PM + 0:35 minutes = 5:50 PM

f(x1, x2) 421 +222 3x² +213 5x11² (√₁+√₂)² 10ln(₁) (x₁+x₂)(x² + x3) min(3r1, 10√2) max{5x1,2r2} MP1(x1, x₂) MP2(X1, X₂) TRS(x1, x₂) Output (2,4)

Answers

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Here are the numbers of times 11 people ate out last month.
4, 6, 6, 6, 3, 7, 3, 3, 7, 6,3

Answers

Answer:

ok but what am I supposed to do with it?

Step-by-step explanation:

The volume is ___ cubic centimeters.

The volume is ___ cubic centimeters.

Answers

Answer:

4.24

Step-by-step explanation:

Which of the following is an irrational number?
A) √0.036
__
B) 7.25

C) √1

D) 10

Answers

10 is the answer to your question
The answer to this question is A

The binomial probability model is useful in many situations with variables of whatâ kind?
âDiscrete-valued numerical variables
Categorical variables
âContinuous-valued numerical variables
Bothâ discrete-valued andâ continuous-valued variables

Answers

The binomial probability model is useful in situations with discrete-valued numerical variables. Hence, the answer is option (a) discrete-valued numerical variables.

The binomial distribution is a probability model that describes the number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (e.g., success or failure, heads or tails, etc.).

The binomial distribution can be used to model a wide range of real-world scenarios, such as the number of defective products in a batch of goods, the number of heads in a series of coin flips, or the number of people who respond positively to a survey question.

Therefore, the correct option is (a)  discrete-valued numerical variables.

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New Hampshire has a population of 1,323,459. Its territory can be modeled by a triangle, as shown in the figure. Each unit on the coordinate grid represents one mile. Find the approximate population density of New Hampshire.
I am not able to download the the picture. It is problem # 6 on a website with the name "Greetings 3D Solid Solutioners! - PC\|MAC"
I had a lot of trouble with this problem, so help would be greatly appreciated.
Thank you.

Answers

Answer:

Approximately 120.31 people per square mile

Step-by-step explanation:

1) The population density can be found by dividing the whole population over the area.

2) Since the NH map is modeled like this triangle, let's firstly calculate its area.

3) Based upon the original picture, and tracing it on we can easily see that the y coordinate is little bit over 200, precisely 220. Each mark on the original y-axis count as 20 miles. That'll give us the height.

The base of the triangle is 100 miles for F(100,0). Plugging that information on the formula:

\(\bigtriangleup_{area}=\frac{b*h}{2}\rightarrow \frac{220*100}{2}=11,000 \:sq. \:miles\)

4) The Population density:

\(Pop. \:density=\frac{1,323,459}{11,000}=120.31 \:people\:per\:square\:mile\)

New Hampshire has a population of 1,323,459. Its territory can be modeled by a triangle, as shown in

Step-by-step explanation:

The answer:

147 persons/mi^2

WILL GIVE BRAINLIEST FOR BEST ANSWER Maya wants to perform an experiment with a spinner labeled A, B, and C. The theoretical probabilities for each section are: P(A) = ½, P(B) = ¼, and P(C) = ¼. Which spinner could she use?

Answers

Answer: The answer is spinner B. There are 8 sections on the spinner and 4 of them have letter A, so P(A)= 1/2.

Answer:

spinner B

Step-by-step explanation:

there's 8 sides to the spinner and half of them have A on it.

In ΔJKL, the measure of ∠L=90°, JK = 5.8 feet, and LJ = 4.4 feet. Find the measure of ∠K to the nearest degree.

In JKL, the measure of L=90, JK = 5.8 feet, and LJ = 4.4 feet. Find the measure of K to the nearest degree.

Answers

Answer:

The answer is 49.

Step-by-step explanation:

\sin K = \frac{\text{opposite}}{\text{hypotenuse}}=\frac{4.4}{5.8}

sinK=

hypotenuse

opposite

=

5.8

4.4

\sin K = \frac{4.4}{5.8}

sinK=

5.8

4.4

K=\sin^{-1}(\frac{4.4}{5.8})

K=sin

−1

(

5.8

4.4

)

K=49.343\approx 49^{\circ}

K=49.343≈49

A ladder is placed against a tree. The bottom is located 5 feet from the base of the tree and the top of the ladder is 18 feet up the tree. What is the angle created between the ladder and tree? Include a sketch that shows all known information and clearly shows what you need to find. Show all work and give the answer rounded to the nearest tenth of a degree.

Answers

Answer:

The angle created between the ladder and tree is \(15.5^{0}\).

Step-by-step explanation:

The required sketch is shown in the attachment to this answer.

Applying the appropriate trigonometric function to the question, we have;

Tan θ = \(\frac{Opposite side}{Adjacent side}\)

         = \(\frac{5}{18}\)

         = 0.2777777777

⇒ θ = \(Tan^{-1}\) 0.2777777777

      = 15.5241

      = \(15.5^{0}\)

Therefore, the angle created between the ladder and tree is \(15.5^{0}\).

A ladder is placed against a tree. The bottom is located 5 feet from the base of the tree and the top

Find the slope of the line through
1) (15,3), (2,7)

Answers

Answer:

4/-13

Step-by-step explanation:

The formula for slope is y2-y1 over x2-x1.

-5x + 3x +9 = ax + 4 +b

Answers

Answer:

a=−b−2x+5/x

Step-by-step explanation:

Step 1: Flip the equation.

ax+b+4=−2x+9

Step 2: Add -b to both sides.

ax+b+4+−b=−2x+9+−b

ax+4=−b−2x+9

Step 3: Add -4 to both sides.

ax+4+−4=−b−2x+9+−4

ax=−b−2x+5

Step 4: Divide both sides by x.

ax/x=−b−2x+5/x

a=−b−2x+5/x

Leanna has a rectangular price of fabric The fabric is 24 inches wide and 40 inches long leanna folds the piece of fabric along its diagonal to form a triangular scarf. what is the area in square inches

Answers

The rectangular pice has a wide of 24 inches and 40 inches long so we can calculate the area of the rectangle:

\(\begin{gathered} A=24\cdot40 \\ A=960 \end{gathered}\)

Now they say that Lenna folds the piece of fabric along its diagonal so the triangle will have halve of the area of the triangle, so que so we can divide the area of the trangle by 2

\(A_{\text{triangle}}=\frac{960}{2}=480\)

So the triangle has an area o

If h(t) = 161-4 and g(t) = 3-2t, what is the value of g(-1)-h(1)? Pls help me

Answers

Answer:

-152

Step-by-step explanation:

Given that h(t) = 161-4t and g(t) = 3-2t,

g(-1) = 3-2(-1) = 3+2 = 5

h(1) = 161-4(1) = 161-4 = 157

Therefore, g(-1)-h(1) = 5 - 157 = -152

So the value of g(-1)-h(1) is -152

someone please help...​

someone please help...

Answers

Answer:

2 1/3

1 4/3

2.333...

233.3...%

Step-by-step explanation:

The polynomial (x – 2)(x2 + 1) – x(x – 3) can be written in the form: ax3 + bx2 + cx + d where a, b, c, and d are constants. What are the values of a, b, c, and d? Show your work.

Answers

The values of the constants in the polynomial are a = 1, b = 0, c = 1 and d = -2

How to find the values of a, b, c, and d?

A polynomial is a mathematical expression involving a sum of powers in one or more variables, with coefficients that are real numbers.

The variables in a polynomial are typically represented by letters such as x and y, and the powers of the variables are represented by whole numbers.

We have polynomial (x – 2)(x² + 1) – x(x – 3), in order to write it in the form ax³ + bx² + cx + d,  we need to expand the expression. That is:

(x – 2)(x² + 1) – x(x – 3) =  (x² – 2)(x + 1) – x(x – 3)

                                      = x²(x + 1)  – 2(x + 1) – x(x – 3)

                                      = x³ + x² – 2x -2  – x² + 3x

                                      = x³ + x - 2

Thus, the values of a, b, c, and d are a = 1, b = 0, c = 1 and d = -2

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10. The catfish pond contains 2,500 gallons of water. The pond can hold no more than
3,000 gallons of water. It is being filled at a rate of 110 gallons per hour. How many
hours will it take to fill but not overfill the pond?

Answers

The tank has 4.54 hours left before it is filled

Data;

Rate = 110 gallons per hourMaximum volume = 3000 gallons of waterCurrent volume = 2500 gallons of water

Rate at which the pond is filled

The rate at which the pond is filled is 110 gallons per hour. Let us find how much volume of water is left to fill the tank.

\(v = maximum volume - current volume\\v = 3000 - 2500\\v = 500\)

The tank needs about 500 gallons of water more before it is filled.

Since the rate of flow per hour is 110 gallons, let us write an equation to solve how much time is left to fill the tank.

\(110gallons = 1 hour\\500 gallons = x\\x= 500/110\\x = 4.54 hour\)

The tank has 4.54 hours more before it is filled.

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Assume there is a sample of n
1

=4, with the sample mean
X

1

=35 and a sample standard deviation of S
1

=4, and there is an independent sample of n
2

=5 from another population with a sample mean of
X
ˉ

2

=31 and a sample standard deviation S
2

=5. In performing the pooled-variance t test, how many degrees of freedom are there? There are degrees of freedom. (Simplify your answer.)

Answers

There are 7 degrees of freedom.

In performing the pooled-variance t test, the degrees of freedom can be calculated using the formula:
df = (n1 - 1) + (n2 - 1)

Substituting the given values:
df = (4 - 1) + (5 - 1)
df = 3 + 4
df = 7

Therefore, there are 7 degrees of  freedom.

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There are 7 degrees of freedom for the pooled-variance t-test.

To perform a pooled-variance t-test, we need to calculate the degrees of freedom. The formula for degrees of freedom in a pooled-variance t-test is:

\(\[\text{{df}} = n_1 + n_2 - 2\]\)

where \(\(n_1\)\) and \(\(n_2\)\) are the sample sizes of the two independent samples.

In this case, \(\(n_1 = 4\)\) and \(\(n_2 = 5\)\). Substituting these values into the formula, we get:

\(\[\text{{df}} = 4 + 5 - 2 = 7\]\)

In a pooled-variance t-test, we combine the sample variances from two independent samples to estimate the population variance. The degrees of freedom for this test are calculated using the formula \(df = n1 + n2 - 2\), where \(n_1\)and \(n_2\) are the sample sizes of the two independent samples.

To understand why the formula is \(df = n1 + n2 - 2\), we need to consider the concept of degrees of freedom. Degrees of freedom represent the number of independent pieces of information available to estimate a parameter. In the case of a pooled-variance t-test, we subtract 2 from the total sample sizes because we use two sample means to estimate the population means, thereby reducing the degrees of freedom by 2.

In this specific case, the sample sizes are \(n1 = 4\) and \(n2 = 5\). Plugging these values into the formula gives us \(df = 4 + 5 - 2 = 7\). Hence, there are 7 degrees of freedom for the pooled-variance t-test.

Therefore, there are 7 degrees of freedom for the pooled-variance t-test.

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Find the midpoint of the segment with the given endpoints.
(-6,6) and (10,1)

Answers

Answer:

(2, 7/2)

look up a midpoint formula calculator

Factor the quadratic inequality to find the x-intercept points.

y >= x ^ 2 - 2x - 3

Answers

Answer:

x = 3

x = -1

Step-by-step explanation:

First you wanna assume that y is 0: 0 \(\geq\) \(x^{2}\) - 2x - 3

now factor the right side like any other problem:

we know that we automatically have (x _ ?)(x_?), because there is an x squared

now we need to find a number that multiplies to -3 and adds up to -2

if take positive 1 and -3, we multiply it to get -3, and when you add the two numbers, you get -2

so now we can fill (x _ ?)(x_?), and turn it into (x - 3)(x + 1)

now we will take each parenthesis part and separate it and solve them for x individually:

(x - 3) = 0

x = 3

(x + 1) = 0

x = -1

so now we have our x intercepts

Is this a function or not a function?
(6, 3) (5, 3) (4, 3) (3, 3)

Answers

No not a function cus the all have the same x axis

The total income for the Mr. Johnson’s apartment building can be represented by the equation 5r-2c-3p, where r is the amount of rent paid by each tenant, c is the cost of the cable bill, and p is the cost of the phone bill. if the rent is $500, The cable bill is $80 in the phone bill is $40, what is the total income for Mr. Johnson?

Answers

The total income is represented by: 5r - 2c - 3p

The rent is $500 (r = 500)

The cable bill is $80 (c = 80)

The phone bill is $40 (p = 40)

Replacing these data into the equation, we get:

Income = 5(500) - 2(80) - 3(40)

Income = 2500 - 160 - 120

Income = $2220

A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of

Answers

This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

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What is 2.58333333333 as a fraction?

Answers

Answer:

2 583/1000

Step-by-step explanation:

Answer

To write 2.58333333333 as a fraction you have to write 2.58333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.58333333333 = 2.58333333333/1 = 25.8333333333/10 = 258.333333333/100 = 2583.33333333/1000 = 25833.3333333/10000 = 258333.333333/100000 = 2583333.33333/1000000 = 25833333.3333/10000000 = 258333333.333/100000000 = 2583333333.33/1000000000 = 25833333333.3/10000000000 = 258333333333/100000000000

And finally we have:

2.58333333333 as a fraction equals 258333333333/100000000000

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