The median weekly gross income for someone with a bachelor's degree was $2,117.00. If they continued their education and training and earned a master's degree, they had an increase in their median weekly income of about 46.1%. Determine the median weekly income for someone with a master's degree.
$2,856.12
$3,092.94
$3,153.76
$2,908.45

Answers

Answer 1

A master's degree earner's typical weekly salary is $3,092.94.

What is the meaning of percentage?

A percentage in mathematics is a number or ratio that may be stated as a fraction of 100.In determining a percentage of a number, we should first divide it by 100 before multiply the outcome by 100. As a result, the proportion refers to a part per 100. The word "percent" refers to a fraction of one hundred. The letter "%" stands for it.

Considering that the median gross weekly wage for a bachelor's degree holder was $2,117.00.

If any one had mater degree, then an increase in the median weekly income of about 46.1%.

To find the increment multiply $2,117.00 with increase rate:

The increment is $2,117.00 × 46.1% = 2,117.00 × 46.1/100= $975.937

The total the median weekly income is

$975.937 + $2,117.00

= $3,092.937

≈ $3,092.94

To learn more about percentage. click on below link:

https://brainly.com/question/21092536

#SPJ1


Related Questions

The table shows the proportional relationship between the price for a certain number of buckets of golf balls at a driving range.
hurry pls
Buckets 3 5 7
Price (dollars) 28.50 47.50 66.50


Determine the constant of proportionality.

Answers

The constant of proportionality will be 9.5 when the table displays the proportionate cost for a particular quantity of golf ball buckets at a driving range.

Given that,

The table displays the proportionate cost for a particular quantity of golf ball buckets at a driving range.

We have to find the constant of proportionality.

We know that,

What are ratio and proportion?

A collection of consecutively ordered numbers a and b expressed as a/b, where b is never equal to zero, is referred to as a ratio. A statement is considered proportionate when there is equality between two items.

The table displays the proportional relationship between the price for a particular quantity of golf ball cans at a driving range.

Buckets                         3               5             7

Price (dollars)            28.50       47.50      66.50

The constant of proportionality is calculated as,

⇒ 25.8 / 3

⇒ 9.5

Therefore, The constant of proportionality will be 9.5 when the table displays the proportionate cost for a particular quantity of golf ball buckets at a driving range.

To learn more about proportionality visit: https://brainly.com/question/22620356

#SPJ1

Answer:

9.5

Step-by-step explanation:

I took the exam and got it right

A radio tower is located 400 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 26∘ and that the angle of depression to the bottom of the tower is 20∘. How tall is the tower?

Answers

340 ft high

d = 400' distance from building to tower

26° from the window to the top of the tower and 20° from the window to the bottom of the tower

Tan 26 = h2/d  

Tan 20 = h1/d  

h2 = 400Tan26

h1 = 400Tan20

on solving the equations,

h=a+b

Tower = 340 ft high

To learn more about Trignometry click here: https://brainly.in/question/5139954

what is the average rate of change

Answers

The required average rate of change in the amount of Kendall's account is $50 per month.

What is rate?

Rate is a measurement to determine the change in one quantity with respect to another quantity.

Given that,

The amount of the end of the 8th month in Kendall's account = $450,

And at the end of the 11th month, the saved amount = $600.

To find the rate of change in saving amount

The increased amount = 600 - 450 = 150.

Since, In 3 months the amount increased by 150.

So, the average rate of change in amount

= 150 / 3.

= 50.

The average rate of change in the amount is $50 per month.

To know more about Rate on:

https://brainly.com/question/16150007

#SPJ1

Samuel and his children went into a movie theater and he bought $43.75 worth of bags of popcorn and candies. Each bag of popcorn costs $5 and each candy costs $4.75. He bought a total of 9 bags of popcorn and candies altogether. Write a system of equations that could be used to determine the number of bags of popcorn and the number of candies that Samuel bought. Define the variables that you use to write the system.

Answers

In linear equation, Samuel bought 7 bags of popcorn and 10 bags of candies.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                              Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Let x represent the number of bags of popcorn and y represent the number of candies that Samuel bought.

She bought $43.75 worth of bags of popcorn and candies. Hence:

5x + 4.75y = 43.75  ...........  (1)

She bought a total of 17 bags of popcorn and candies altogether. Hence:

x + y = 9       (2)

Solving equations 1 and 2 simultaneously gives:

x = 4, y = 5

Therefore Samuel bought 4 bags of popcorn and 5 bags of candies.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

The radioactive element​ carbon-14 has a​ half-life of 5750 years. A scientist determined that the bones from a mastodon had lost ​80.2% of their​ carbon-14. How old were the bones at the time they were​ discovered?

Answers

The age of the bones when they were discovered is 13439.66 years

What is half-life of an element?

The half-life of a radioactive isotope is the amount of time it takes for one-half of the radioactive isotope to decay. The half-life of a specific radioactive isotope is constant; it is unaffected by conditions and is independent of the initial amount of that isotope.

Half-life (symbol t½) is the time required for a quantity (of substance) to reduce to half of its initial value

The decay constant λ is = 0.693/t½

where t½ is the half-life of the element

Given data ,

The radioactive element​ carbon-14 has a​ half-life of 5750 years

So , the value of t½ = 5750 years

Now , the decay constant λ = 0.693 / t½

Substituting the values in the equation , we get

Decay constant λ = 0.693 / t½

Decay constant λ = 0.693 / 5750

Decay constant λ = 1.205 x 10⁻⁴

N=N₀e ^ −λt

where N₀ = Mass of radioactive element initially

N = Mass of radioactive element after time t

Apply natural logarithm on both the sides of the equation , we get

ln N = ln N₀ - λt

Let N0 be 100 then N will be 100 - 80.2 = 19.8

Substituting the values in the equation , we get

ln 19.8 = ln 100 -  1.205 x 10⁻⁴ ( t )

ln [ 19.8 / 100 ] = - 1.205 x 10⁻⁴ ( t )

-1.61948 = -1.205 x 10⁻⁴ ( t )

Therefore , the value of t is

t = -1.61948 / -1.205 x 10⁻⁴

t = 1.343966 x 10⁴

t = 13439.66 years

Therefore , the value of t is 13439.66 years

Hence ,

The age of the bones when they were discovered is 13439.66 years

To learn more about half life of an element click :

https://brainly.com/question/16387602

#SPJ1

URGENT!! ILL GIVE BRAINLIEST!!!! AND 100 POINTS!!!

Answers

The relationship between the cone cylinder and sphere is sphere takes up two-thirds of the volume of the cylinder, the cone takes up one-third of the volume of the cylinder.

What is the properties of the cone cylinder and sphere?Similar to a prism, a cylinder has two bases, however they are circles rather than polygons. A cylinder's sides are also curved rather than flat. A cone has a vertex that is not on the base and a single circular base. The sphere is a form in space with equal distances between each of its points and the centre.Any sphere has a volume that is 2/3 the size of any cylinder with an equivalent radius and height.While CYL, or cylinder, is the amount of lens power required to correct astigmatism, SPH, or sphere, is the amount of lens power required to correct nearsightedness or farsightedness. People frequently allude to their SPH value while discussing their eye degree or "power."

Answers of blank :

Blank 1 = 1/3

Blank 2 = Three

Blank 3 = Two

Blank 4 = 2/3

Blank 5 = 1/3

Learn more about cone cylinder and sphere refer to :

https://brainly.com/question/12550991

#SPJ1

CAN SOMEONE HELP WITH THIS QUESTION?✨

Answers

The exponential function passes through the points (-1,4/5) and (1,20) will be y = 4 × [tex]5^{x}[/tex].

What is an exponential function?

In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.

In other meaning, an exponential function is that function above which a variable x has imposed.

Suppose the exponential function as

y = a[tex]e^{bx}[/tex]

Substitute, (-1,4/5)

4/5 = a[tex]e^{-b}[/tex]                             (1)

Substitute, (1,20)

20 = a[tex]e^{b}[/tex]                                (2)

Multiply (1) with (2)

(4/5)20 = a[tex]e^{-b}[/tex] × a[tex]e^{b}[/tex]

4 × 4 = a²

a = 4

Substitute, a = 4 into (2)

20 = 4[tex]e^{b}[/tex]    

[tex]e^{b}[/tex] = 5

Take log on both sides of the above equation,

ln [tex]e^{b}[/tex]  =  ln 5

b = ln 5

Substitute a = 4 and b = ln 5 into y = a[tex]e^{bx}[/tex]

y = 4 e^(x(ln 5)) = 4 e^(ln5^x)

y = 4 × [tex]5^{x}[/tex]

Hence "The exponential function passes through the points (-1,4/5) and (1,20) will be y = 4 × [tex]5^{x}[/tex]".

For more about exponential function,

https://brainly.com/question/15352175

#SPJ1

In a study comparing 4 types of batteries, 60 batteries (15 of each type) were tested, and their lifetimes were compared. (Here, k = 4, and N-60) (a) The hypotheses are Part of the ANOVA summary table is given below. Sum of Squares df Mean SquaresF MSB/MSW MS SS/df Between (Factor) 25.7375 Within (Error) 75 (b) Complete the table. (Remember that the df for the numerator (Between Groups) is k-1, and the df for the denominator (Within Groups) is N-k. (c) Use the Fcdf on your calculator to find the p-value. (Go to 2nd is Fcdf( F, 10000, df Between, df Within).) DISTR VARS and choose FEeff. The syntax and choose Fcdf. The syntax (d) State your decision and conclusion.

Answers

a) The hypotheses for this study would be the Null hypothesis and Alternative hypothesis.

b) The completed ANOVA summary table would be the Sum of Squares.

c) The calculator would give a p-value of approximately 0.03.

d) The results of the ANOVA test may not be reliable.

(a) The hypotheses for this study would be:

Null hypothesis ([tex]H_0[/tex]): There is no difference in the average lifetime of the four types of batteries.

Alternative hypothesis ([tex]H_1[/tex]): There is a difference in the average lifetime of the four types of batteries.

(b) The completed ANOVA summary table would be:

Sum of Squares (SS) df Mean Squares (MS) F

Between (Factor) 25.7375 3 8.578 3.77

Within (Error) 75 56 1.34

Total 100 59

(c) To find the p-value, you would use the Fcdf function on your calculator. The syntax for this would be Fcdf(F, 10000, df Between, df Within). In this case, the F value is 3.77, the df Between is 3, and the df Within is 56. Plugging these values into the calculator would give a p-value of approximately 0.03.

(d) Based on the p-value, we can reject the null hypothesis and conclude that there is a significant difference in the average lifetime of the four types of batteries. This suggests that the type of battery has an effect on its lifetime. However, it is important to note that this conclusion is based on the assumptions of the ANOVA test, including the assumption of equal variances among the groups. If these assumptions are not met, the results of the ANOVA test may not be reliable.

Learn more about the degree of freedom at

https://brainly.com/question/14311814?referrer=searchResults

#SPJ4

SOLVE FOR R
-7 - 7r= -10r + 8
R =

Answers

Answer:

the answer is 5

Step-by-step explanation:

(Add 10r to both sides)

-7-7r+10r= 8

Then -7+3r = 8

(Add 7 to both sides)

3r = 8+7

3r = 15

Divide both sides by 3.

r = 5

Describe and correct error

Answers

Option b, it should be multiplied.

Remember the two formulas:
P(A and B) = P(A) * P(B)
P(A or B) = P(A) + P(B) - P(A and B)

ASAP!! Which graph could be used to find the distance between the points (−3, −13) and (11, 9)?


graph of a right triangle with hypotenuse beginning at negative 13 comma negative 3 and ending at 9 comma 11

graph of a right triangle with hypotenuse beginning at negative 3 comma negative 13 and ending at 11 comma 9

graph of a right triangle with hypotenuse beginning at negative 11 comma negative 9 and ending at 3 comma 13

graph of a right triangle with hypotenuse beginning at negative 9 comma negative 11 and ending at 13 comma 3

Answers

The graph that could be used to find the distance between the points

(-3, -13) and (11, 9) is given as follows:

B. graph of a right triangle with hypotenuse beginning at negative 3 comma negative 13 and ending at 11 comma 9.

What is distance between two points?

The distance between two points in a plane is the length of the line segment separating the two points. Typically, the equation

d=√((x2 - x1)^2 + (y2 - y1)^2) is used to calculate the distance between two points.

Suppose we have a pair of points, with the coordinates given as follows:

[tex](x_1, y_1)[/tex]  and  [tex](x_2, y_2)[/tex].

The two points form a right triangle, in which the sides are given as follows:

[tex]y_2-y_1\\x_2-x_1[/tex]

The distance between these two points is given by the hypotenuse of the right triangle.

Hence, applying the Pythagorean Theorem, the distance is obtained as follows:

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

In this problem, the coordinates of the points are given as follows:

(−3, −13) and (11, 9).

Hence the correct option is given by option B.

To know more about distance between two points, click on the link

https://brainly.com/question/27520547

#SPJ1

Answer Questions 9 to 11 using the lines shown in the coordinate grid below.
1. Is it true that m parallel to n?Include any relevant measurements and calculations.
2. Is it true that m is congruent to p?include relevant measurements and calculations.
3.Is it true that n is congruent to p? Include any relevant measurements and calculations.​

Answers

The solution to the parallel lines identification and congruency are;

1) They are not parallel.

2) They are not congruent.

3) They are not congruent.

How to Identify Parallel lines?

Parallel lines are defined as lines in a plane that are always the same distance apart. Parallel lines never intersect.

1) Looking at lines m and n , for them to be parallel, it means that they must be the same width all through. However, we see that along the x-axis they are 6 units while going further down, it is not always 6 units as some are 5.5 units. Thus, they are not parallel.

2) No, m is not congruent to p because it is not the same distance from the x and y-axis at similar points.

3) No, n cannot be congruent to p because we see that the distance between the marked points are not congruent.

Read more about Parallel Lines at; https://brainly.com/question/24607467

#SPJ1

B. Hannah approximates the areas of circles using the equation A=3 r², and records areas of circles with different radius lengths in a table.
a. Graph the ordered pairs from the table.
b. Is the relation a function? Explain.

Answers

To graph this function, form ordered pairs from the chart. Because the x-axis is denoted to Radius and the y-axis to Area, we will want to graph the radius and corresponding area. Remember, x-coordinates always are graphed first, then the y-coordinate to plot a point.

A.) From the table, we can create the following ordered pairs in the form (x, y):

(1, 3) (2, 12) (3, 27) (4, 48) (5, 75)

Simply start at 0 and move left or right in the x-axis the amount of units the fist value says. Then, from that position, move up or down along the y-axis the value of the second coordinate. For example, in the pair (1, 3), you will move 1 unit right (+), then 3 units up from that position and plot the point. The point should be 1 space to the right and 3 spaces up from there.

B.) This graph is a function because it passes the vertical line test, meaning no x-value leads to two y-values. Every domain value is paired to exactly one range value.

What is the slope of a line perpendicular to the line whose equation is 4x-6y=-604x−6y=−60. Fully simplify your answer.

Answers

The slope of the line perpendicular to 4x - 6y = - 60 is (-3/2).

What is slope?

The slope is the rate of change of the y-axis with respect to the x-axis.

The equation of a line in slope-intercept form is

y = mx + b, where

slope = m and y-intercept = b.

We know the greater the absolute value of a slope is the more steeper is it's graph or rate of change is large.

We know lines perpendicular to each other have slopes that are negative reciprocals of each other.

Given line is 4x - 6y = - 60 ⇒ - 6y = - 4x - 60 ⇒ y = (2/3)x + 10.

Now the line perpendicular to it will have a slope of (-3/2).

learn more about slopes here :

https://brainly.com/question/3605446

#SPJ1

Use the number line to represent the solution to x + 3 > 5. Select the ray. Move the point on the ray to the correct place on the number line.

Answers

Hence, the point on the ray is [tex]x > 2[/tex].

What is the number line?

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides

Here given that,

Use the number line to represent the solution to [tex]x + 3 > 5.[/tex]

i.e.,

[tex]x+3 > 5\\\\x > 5-3\\\\x > 2[/tex]

Hence, the point on the ray is [tex]x > 2[/tex].

To know more about the number line

https://brainly.com/question/22112559

#SPJ1

Write the equation of the line that is parallel to z = 4 and passes through (-3, 7).

Answers

Answer:

x = -3

Step-by-step explanation:

If you look at the graph.

x = 4 is a vertical line.  

Another vertical line that would be parallel to this can contain the point (-3, 7) would be the line x = -3

Triangle ABC is drawn with AB = 36 units, BC = 42 units, and ZBCA = 31°. The measure of ZABC is

Answers

The value of [tex]\angle[/tex]ABC=6° was found with the help of the law of cosines.

What is the law of cosines of a triangle?

The lengths of a triangle's sides are correlated with the cosine of one of its angles according to the law of cosines. We can now determine values for distances and angles that are impossible to measure without the aid of trigonometry. When calculating the third side of a triangle given two sides and their enclosed angle, as well as when calculating the angles of a triangle if we know all three sides, the law of cosines is used.

Given values are AB = c = 36 units, BC = a = 42 units, and [tex]\angle[/tex]BCA = 31°.

Now let AB = b, we find b using the law of cosines and quadratic equation:

[tex]c^2 = a^2 + b^2 - 2a b \cos C \\36^2 = 42^2 + b^2 - 2 \cdot \ 42 \cdot \ b \cdot \ \cos 31\degree \\ b > 0 \\ b = 7.22[/tex]

Now, we calculate [tex]\angle[/tex]ABC using the law of cosines:

[tex]\angle ABC=arc cos(\frac{a^{2}+c^{2}-b^{2} }{2ac}) \\\angle ABC=arc cos(\frac{42^{2}+36^{2}-7.22^{2} }{2.42.36}) \\\angle ABC=5.55[/tex]

[tex]\angle[/tex]ABC=6°

To learn more about law of cosines, visit the following link:

https://brainly.com/question/23720007

#SPJ1

The monthly cost of water use is a linear function of the amount of water used (HCF). The cost for using 16 HCF of water is $39.04, and the cost for using 44 HCF is $79.64. What is the cost for using 22 HCF?

Answers

Answer:

The cost for using 22 HCF is $47.74

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

Equation of line:

y = mx + b, where m- slope, b- y-intercept

Given values can be interpreted as pairs of coordinates of the two points:

(16, 39.04) and (44, 79.64)

Find the slope of the line:

m = (79.64 - 39.04)/(44 - 16) = 40.6/28 = 1.45

Find the y-intercept, by substituting coordinates of one point:

39.04 = 1.45*16 + b39.04 = 23.2 + bb = 39.04 - 23.2b = 15.84

The equation becomes:

y = 1.45x + 15.84

Find the value of y when x = 22:

y = 1.45*22 + 15.84 = 31.9 + 15.84 = 47.74

At the city museum, child admission is 5.70 and adult admission is 9.80. On Friday, 114 tickets were sold for a total sales of 912.20. How many adult tickets were sold that day?

Answers

According to the given information The 50 child tickets and 64 adult tickets were sold that day.

What exactly is arithmetic?

The area of mathematics concerned with the characteristics and use of numbers a field of study that concentrates on multiplying, dividing, adding, and subtracting numbers. Mathematical simplifications are made using fractions, decimals, percentages, fractions, square roots, exponents, and other arithmetic operations.

Briefing:

child admission (c)= $5.70

adult admission (a)= $9.80

5.70c + 9.80a = 912.20      (i)

a + c = 114                            (ii)

Set up the equation:

5.70(114 - a) + 9.80a = 912.20

649.8 - 5.7a + 9.80a = 912.20

4.1a = 262.4

a = 64

adult tickets = 64  

Put the value of a in equation (ii) we get,

64 + c = 114

c = 114 - 64

c = 50

child tickets = 50

Therefore , the 50 child tickets and 64 adult tickets were sold that day.

To know more about arithmetic visit:

https://brainly.com/question/11559160

#SPJ1

Write and graph the inverse of y=-x²+5
Write the inverse of y=-x²+5
y=

Answers

Answer:

Below

Step-by-step explanation:

y = - x^2 + 5       solve for x

y-5 = - x^2

x^2 = 5-y

x = ± sqrt (5-y)        now switch the x's and y's

y = ± sqrt(5-x)    

Here is a picture:

B + 6 divided by 4 when b = 1.5

Answers

Answer:

Step-by-step explanation:

Write it out

[tex](B+6)/4[/tex]

plug in the value

[tex](1.5+6)/4[/tex]

solve

[tex](1.5+6)/4\\7.5/4\\= 1.875[/tex]

Add
900-200= 700
and then add 700 + 700 =
Answer =

Answers

Answer:1400

Step-by-step explanation:

If you add 7+7 it’ll get you 14 but if it’s 700+700 it’ll equal to 1400.

Please help anyone. I need help especially with #4

Answers

Answer:

#4 x=70

Step-by-step explanation:

Because this is an Isosceles triangle, we know that the 2 base angles have to be equivalent. So subtract 40 from 180 which leaves you with 140, then divide 140 by 2 because there are 2 base angles. Then arrive at the answer of x=70.

-Hope this helped & Happy Holidays!

In triangle WXY, the measure of W is 10 less than the measure of X and the measure of Y is 14 less than the measure of X. Find the measure of each angle

Answers

X = 63°

W = 60°

Y = 57° are  the measure of each angle in triangle.

In math, what is a triangle?

A triangle is a 3-sided polygon that is occasionally (though not frequently) referred to as the trigon. There are three sides and three angles in every triangle, some of which may be the same.

W = X - 10

Y = X - 14

X + W + Y = 180    substitute

X + (X - 10) + ( X - 14)

  = 3 X - 24 = 180

3X = 180 + 24.

 X = 204/3

X =  68

W =  58

Y =  54

Learn more about triangle

brainly.com/question/2773823.

#SPJ1

Ms. Bobadilla has a 24 ounce coffee. I drink 8 ounces. What percent of the coffee is left? 7th grade math

Answers

The required percent of the coffee left is given as 66.67%.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
24 ounces of coffee Ms. Bobadilla,
And 8 ounces of coffee has been drinking,
Applying the percentage evaluation, in order to calculate the remaining coffee to Ms. Bobadilla.
Percentage of coffee remaining = 24 - 8 / 24 × 100%
Percentage of coffee remaining = 0.6667 × 100%
Percentage of coffee remaining = 66.67%

Thus, the percentage is given as 66.67%.

Learn more about percentages here:

https://brainly.com/question/29765423

#SPJ1

Write out, in paragraph form, a plan for completing the following proof.

For example, will you prove triangles congruent? How? By what theorem?

Given:

AR = AQ

RT = QS

Prove:

∠ RAT = ∠ QAS

Can someone help me understand how to answer this

Answers

Because AR = AQ, you have an isosceles triangle with triangle RAQ.  This also means ∠ARQ = ∠AQR.

You're also told that RT = QS, so this gives you SAS to show triangle ART = triangle  AQS.

   side: AR = AQ

   angle: ∠ART = ∠AQS

   side: TR = QS

Knowing that the two triangles are congruent gives you that the two top angles are also congruent.  

What is the sampling method that involves taking a random selection of people from a defined population?.

Answers

A sampling method is simple random sampling.

What is sampling method?

In statistical analysis, sampling is the procedure by which researchers choose a specific number of observations from a larger population. The sample strategy will depend on the sort of study being done, although it may involve systematic sampling or just plain random sampling.

A selection of participants from a population are chosen at random by the researcher using simple random sampling, a sort of probability sampling. Every person in the population has the same probability of getting chosen. Then, data are gathered from as much of this randomly selected subgroup as feasible.

Since it only uses one random pick and is very simple, this method is the easiest of all the probability sampling techniques.

To know more about sampling method check the link: brainly.com/question/12902833

#SPJ4

Find the volume of the figures

Answers

1. The volume of the cylinder is 942 m³.

2. The volume of the cone is 33.16 mm.

3. The volume of the sphere is 33.50 in³.

4. The volume of the cuboid is 672 in³.

What is volume?

Volume is defined as how much of a three-dimensional object occupies

a space.

We know the volume of a cylinder is πr²h.

∴ The volume of the given cylinder is = π(5)²×12 m³ = 942 m³.

We know the volume of a cone is = (1/3)πr²h.

∴ The volume of the given cone is = (1/3)π(2)²×8 mm³ = 33.16 mm.

We know the volume of a sphere is (4/3)π×r³.

∴ The volume of the given sphere is = (4/3)×π×(r³) in³ = 33.50 in³.

We know the volume of a cuboid is = (length×width×height).

∴ The volume of the given cuboid is = (7×8×12) in³ = 672 in³.

The volume of the object in figure 8 is the sum of the volume of a cuboid and a pyramid.

learn more about volumes here :

https://brainly.com/question/13338592

#SPJ1

Construct a confidence interval that will capture the true population mean with 95% confidence. Population standard deviation is unknown.
Data: 18
19,19,19,19,19,19,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21, 22,22,22,22,23,23,23,23,23,23,23,23,23,23,23,23,23,24,24,24,24,24,24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,,26,26,26,27,27,27,27,27,28,28,28,28,28,28,28,28,28,28,29,29,29,30,30,30,31

Answers

A confidence interval that will capture the true population mean with 95% confidence. The value is ( 23.6459    , 24.8293 ) .

What is population mean?

A population in statistics is a group of comparable objects or occurrences that are relevant to a particular topic or experiment. A statistical population can be a collection of real things or a hypothetical, possibly limitless collection of objects derived from experience.

Data: 18

for given data

[tex]$$\begin{aligned}\bar{X} & =\frac{\sum X i}{n} \\& =2448 / 101 \\& =24.2376\end{aligned}$$[/tex]

as population variance is unknown so we used sample variance

[tex]$$\begin{aligned}S^2 & =\frac{1}{n-1}\left(\sum X i^2-n \times \bar{X}^2\right) \\S^2 & =\frac{1}{100}\left(60232-101 \times 24.2376^2\right) \\& =8.9830\end{aligned}$$[/tex]

Now

[tex]\frac{\bar{X}-\mu}{S / \sqrt{n}} \sim t_{n-1}$$[/tex]

hence 95 % of population mean is

As n=101 which is large so critical value is 1.98397

[tex]$$\begin{aligned}& =\left(\bar{X}-\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}, \bar{X}+\sqrt{\frac{S}{n}} \times t_{(n-1, \alpha / 2)}\right) \\& =\left(24.2376-\sqrt{\frac{8.9830}{101}} \times 1.98397,24.2376+\sqrt{\frac{8.9830}{101}} \times 1.98397\right) \\& =(23.6459,24.8293)\end{aligned}$$[/tex]

To learn more about statistics visit:https://brainly.com/question/29093686

#SPJ4

A research department wants to test the hypothesis that caffeine from organic coffee more safely stimulates mental alertness than caffeine from nonorganic coffee. Which of the following would most effectively provide the desired primary data?
Experimentation, one form of primary research,can produce data suggesting cause and effect

Answers

The most effectively provide the desired primary data is experimentation

Experimentation is the step in the scientific method that helps people decide between two or more competing explanations—or hypotheses. These hypotheses suggest reasons to explain a phenomenon or predict the results of an action.

With an experiment, you run a test and see what the results are. If you don't get good results, you can try another option, and run another test. Then you can see what the outcomes of the choices are (the info you didn't have when first thinking about the decision), and you can make a better-informed decision now.

According to the question,

A research department wants to test the hypothesis that caffeine from organic coffee more safely stimulates mental alertness than caffeine from nonorganic coffee. Experimentation, one form of primary research, can produce data suggesting cause and effect

To know more about Experimentation here

https://brainly.com/question/28166603

#SPJ4

Other Questions
a pregnant client is positive for the human immunodeficiency virus (hiv). the nurse educates the client and determines that there is a need for further teaching if the client makes which statement? Which expression is equivalent to (3 5i)2? 16 30i 6 34i 16 34i 16 30i Manganese is a silver colored metal . It reacts with oxygen to form manGanesh oxide which has two oxygen atoms for every manganese atom white h statement descrubes the properties of manganese oxide What do we callvariation that canbe inherited?heritable variation this is answer asexual reproduction Employees usually do not reflect much concerning a decision to quit; rather, quitting is in response to immediate events. True or False? a client is admitted with a stage four pressure ulcer that has a black, hardened surface and a light-pink wound bed with a malodorous green drainage. which dressing is best for the nurse to use first Which expression represents the correct form for the quotient and remainder, written as partial fractions, of startfraction 8 x cubed minus 2 x squared minus 67 x minus 24 over 2 x squared minus x minus 21 endfraction?. Find the indicated side of the triangle?What does A equal to?What is included in the triangle:A, B,7,30Also please show your work? "Documentation written for programmers should include text and program flowcharts, ________, and sample output as well as system flowcharts.A) PseudocodeB) Logic errorsC) Program listingsD) Syntax errors" the role of weather and climate in disease prevalence crop production Suppose that JB Cos. has a capital structure of 78 percent equity, 22 percent debt, and that its before-tax cost of debt is 12 percent while its cost of equity is 16 percent. Assume the appropriate weighted-average tax rate is 21 percent and JB estimates that they can make full use of the interest tax shield.What will be JBs WACC? Why do you think this controversy, first raised in 1935, continues to flare up from time to time? Peer review examples Which of the following is a run off sentence whats the best song to listen to can someone help me with this????? What is the relationship between the magnetic force and the distance between the magnets? Why is criminal violence in Mexico a big deal to the United States and/or the word Fear of using a public rest room or eating in public would both be considered symptoms of a(n)social phobia Find the first three terms of the sequence described by the following recursive formula:an = 3an - 1 + 2 where a4 = 20