How do I solve this problem? I need to find the volume of this composite figure.
Answers
Step-by-step explanation:
V = (12*4*5) + (2*3*5) + (5*3*5) + (12*4*5)
V = 240 + 30 + 75 + 240
V = 585 cm^3
Related Questions
Angela works 18 hours a week for 12 weeks in the summer at the local swimming pool as a life guard. she earns $13 per hour. her employer takes 15 percent out of her check for federal income tax withholding and 6.2 percent for social security and 1.45 percent for medicare. she will receive 12 paychecks, one for each week she works. calculate angela’s weekly gross pay: calculate the amount taken out of angela’s check for federal income tax withholding: calculate the amount taken out of angela’s check for social security taxes: calculate the amount taken out of angela’s check for medicare taxes: calculate angela’s net paycheck using the calculations above: calculate angela’s total gross pay for all 12 weeks: calculate angela’s total net pay for all 12 weeks:
Answers
Answer:
Gross pay per week = $234
Federal income tax = $421.2
Social security = $174.96
Medicare =$40.71
net pay per week = $181
Total gross pay = $2,808
Total net pay = $2172
Step-by-step explanation:
Hi, to answer this question, first, we have to calculate Angela gross income per week:
18 hours per week x $13 per hour = $234 per week (gross)
234 x 12 =2,808
Amount taken ; multiply weekly gross pay by each percentage discount in decimal form (divided by 100)
Federal income tax = 234 x (15/100) = $35.1 (in 12 weeks = 35.1 x 12 = $421.2)
Social security = 234 x (6.2/100)= $14.508 (in 12 weeks = 14.5 x 12 = $174.96)
Medicare = 234 x (1.45/100)=$3.393 (in 12 weeks = 3.39x 12 = $40.71)
Total amount taken (per week)= 35.1+14.508+3.393=$53.001
Net pay per week = 234-53 = $181
For the total gross pay we have to multiply the weekly gross pay by the number of weeks (12)
Total gross pay = 234 x 12 =$2,808
Total net pay = 181 x 12 = 181 per week x 12 = $2172
Which expressions are equivalent to
x+x+x+2?
Answers
Answer:
3x + 2
Step-by-step explanation:
x = 1x but leaving the x alone equals the exact thing.
If there are x + x + x, this means 3x since it is also
1x + 1x + 1x.
This is another expression for 3x + 2.
The total number of subsets of a set A is 120 more than the total number of subsets of set B. The number of elements in the two sets respectively are
(A) 3, 7 (B) 4, 8 (C) 8, 4 (D) 7, 3
Answers
Answer:
(D) 7, 3
Step-by-step explanation:
If a set has 'n' elements, the total number of subsets is (2^n) - 1
So if set A has more subsets than set B, it needs to have more elements, so option (A) and (B) can't be correct.
So, checking option (C), we have:
Set A: number of subsets = 2^8 - 1 = 255
Set A: number of subsets = 2^4 - 1 = 15
Difference: 255 - 15 = 240
The difference is not 120, so this is not the correct option
Option (D):
Set A: number of subsets = 2^7 - 1 = 127
Set A: number of subsets = 2^3 - 1 = 7
Difference: 127 - 7 = 120
Correct option: (D)
PLEASE HELP ASAP I WILL GIVE 30 POINTS
during a six week period the value of a stock in dollars per share changed as follows:
Week 1= UP 3 2/8
Week 2= Up 2 1/4
Week 3= Down 3 3/4
Week 4 = Up 2 3/4
Week 5 = Down 1 1/8
Week 6= Down 5/8
Answers
Answer
Whats the question?
Step-by-step explanation:
Answer:
Umm, I don't get, what are we to do
Step-by-step explanation:
The sale price of ground beef at a local grocery store is $1.49 for the first pound and $1.09 for each additional pound. Which function rule shows how the cost of ground beef, y depends on the number of pounds, x?
Answers
Answer:
y=1.09x+0.4
Step-by-step explanation:
Let's assume that the price of beef stays the same for every pound of beef (the first pound is also $1.09)
Then, the equation would be, it y was the cost, and x was pounds:
y=1.09x
But, the price of beef is not the same for the first pound.
The first pound costs an extra 1.49-1.09=0.4 dollars a pound, so we will add that to the equation.
y=1.09x+0.4
Please help me I’m about to break down
Answers
Answer:
the answer would be <RSV &<TSV
Answer:
RSV and TSV
Step-by-step explanation:
Supplementary angles are those that add to 180 degrees
RSV and TSV form a straight line so they add to 180
They are complementary angles
Find the area of the following trapezoid
Answers
The formula to calculate the area of a trapezoid is as follow:
4 * (8 + 16) * 1/2
Answer:
trapezoid area :(a+b)/2 ×h
(16+ 8)/2 ×4
=48
Rao's Finance claims that less than 50% of adults in Suva have a will. A will is a legal document that sets forth your wishes regarding the distribution of your property and the care of any minor children. If you die without a will, those wishes may not be carried out. To substantiate the claim, a random sample of 1000 adults showed that 450 of them have a will. A. At the 5% significance level, can you conclude that the percentage of people who have a will is less than 50%? B. What is the Type I error in part A? What is the probability of making this error? C. What would your decision be in part A if the probability of making a Type I error were zero? Explain.
Answers
Answer:
See the explanation below.
Step-by-step explanation:
n = sample size = 1000
X = proportion of adults that a will = 450 / 1,000 = 0.45
P-value = 0.5
a = level of significance = 5%, or 0.05
A. At the 5% significance level, can you conclude that the percentage of people who have a will is less than 50%?
Our hypotheses are:
Null hypothesis: u ≥ 0.5
Alternate hypothesis: u < 0.5
Since this indicates a left tailed test, the decision rule is to reject null hypothesis if p-value is less than the level of significance.
[tex]Z = test statistic = \frac{0.45 - 0.5}{0.5/\sqrt{1,000} }[/tex]
Z = - 0.05 / 0.0158113883008419 = - 3.1623
Using the excel function NORMSDIST(-3.1623), we have:
P- value = 0.000782701129001276, approximately 0.0008
Therefore, null hypothesis is rejected at 5% level of significance since the p-value 0.0008 is less than 5%, or 0.05.
Therefore, there is an enough reason to reject null hypothesis.
B. What is the Type I error in part A? What is the probability of making this error?
Since the probability is greater than 50%, the Type I error is therefore the statement in the question that less than 50% of adults have a will.
Also, the probability of making this Type I error is the 5% level of significance.
C. What would your decision be in part A if the probability of making a Type I error were zero?
The null hypothesis will be rejected if the probability of making a Type I error were zero in part A.
Find the probability.
6) A cooler contains twelve bottles of sportsdrink: three lemon-lime flavored, fourorange flavored, and five fruit-punchflavored. You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly selectanother bottle. Both times you get alemon-lime drink.
7) You select two cards from a standardshuffled deck of 52 cards. Both selectedcards are diamonds. (Note that 13 of the 52cards are diamonds.)
Answers
Answer:
The Probability of getting lemon drink on both draws is 1/16
The Probability of getting diamond on both cards is 1/17
Step-by-step explanation:
1)
No. of lemon-lime flavored bottle = 3
No. of orange flavored bottle = 4
No. of fruit punch flavored bottle = 5
Total bottles = 12
We are given that You randomly grab a bottle. Then you return the bottle to the cooler,mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.
Probability of getting lemon drink on both draws with replacement =[tex]\frac{3}{12} \times \frac{3}{12} = \frac{1}{16}[/tex]
So, The Probability of getting lemon drink on both draws is 1/16
2)
No. of diamond cards = 13
Total cards =52
Probability of getting diamond on first card = [tex]\frac{13}{52}[/tex]
Probability of getting diamond on second card =[tex]\frac{12}{51}[/tex]
Probability of getting diamond on both cards = [tex]\frac{13}{52} \times \frac{12}{51}=\frac{1}{17}[/tex]
So, The Probability of getting diamond on both cards is 1/17
135 apples are to be packed into boxes.each box can take only 12 apples.find the number of boxes that will be fully packed and the number of boxes that will remain.
Answers
Answer:
11 boxes will be fully packed and .25 will be remaining
Our total amount of apples is 135 apples, and the amount that each box can hold is 12.
So, that means we can make an equation for this.
The equation would be 135 = 12x.
Then, to find x we can divide both sides by 12.
135/12 = 11.25
Next, we take 11 and multiply it by 12 to see how many apples it is.
11 x 12 = 132
So, 135-132 equals 3.
3 is 1/4 of 12.
That means 11 boxes will be fully packed and 1/4 of a box will be filled.
Sheryl and Jennifer were given the same number of sticker at first.After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer. How many stickers were given to sherly at first
Answers
Answer:
112 stickers
Step-by-step explanation:
Let x and y represent the number of stickers Sheryl and Jennifer were given at first.
Sheryl and Jennifer were given the same number of sticker at first.
So;
x = y ......1
After jennifer used 84 stickers ,sherly had 4 times as many stickers as jennifer.
x = 4(y-84)
x = 4y - 336 ......2
Substituting equation 1 into 2
y = 4y - 336
Solving for y;
4y - y = 336
3y = 336
y = 336/3
y = 112
Therefore, sherly was given 112 stickers at first
What is the answer? Plz need help
Answers
30x and 12 have a common factor of 6. So yes, this might have been the result of distributing the 6 in
6(5x - 2)
Answer:
30x - 12 = 2(15x - 6)
30x - 12 = 3(10x - 4)
30x - 12 = 6(5x - 2)
Step-by-step explanation:
30 and 12 have these factors in common: 2, 3, 6
There are three possible answers.
30x - 12 = 2(15x - 6)
30x - 12 = 3(10x - 4)
30x - 12 = 6(5x - 2)
8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4,4)}
a) Yes
b) No
Answers
Answer:
Yes
Step-by-step explanation:
The inputs in a function should have only one output. In other words, each x value should only be assigned to one y value.
For example, (−2, −1),(1, 0),(1, 5),(2, 0) would not be a function because x value 1 is assigned to both number 0 and number 5.
In (1, 1)(2, 2)(3, 3)(4,4), non of the X values repeat themselves, so it IS a function.
Order the following expressions by their values from least to greatest.
b-a
a -0.5
a
Answers
Answer:
a
a -0.5
b -a
i believe that is the order but i could be wrong
Answer:
hi there !!
the correct answer should be: a - 0.5, a, b - a
Step-by-step explanation:
first let's show -0.5 on the number line.
now let's show b - a on the number line.
the given expressions are ordered by their values below.
135 = 2x + 25
solve for x
Answers
Answer:is 55
Step-by-step explanation:
135-25=2x
110/2=55
Answer:
x = 55
Step-by-step explanation:
First you start with your equation, which is: [tex]135=2x+25[/tex]
Subtract 25 from both sides. Once you do that, you get: [tex]110=2x[/tex]
Then after that, you divide both sides by 2. Then you get your answer, which is: [tex]x=55[/tex]
✌Hope I helped ya✌
A factory uses 3/4 of a barrel of raisins in each batch of granola bars. Yesterday, the factory
used 1 1/2 barrels of raisins. How many batches of granola bars did the factory make
yesterday?
Answers
Answer:
Step-by-step explanation:
3/4 * 2 = 1 1/2
The factory made two batches of granola bars.
3x+2y=12+y 4y-7x=10 solve
Answers
Answer:
x = 2 , y = 6
Step-by-step explanation:
Solve the following system:
{3 x + 2 y = y + 12 | (equation 1)
4 y - 7 x = 10 | (equation 2)
Express the system in standard form:
{3 x + y = 12 | (equation 1)
-(7 x) + 4 y = 10 | (equation 2)
Swap equation 1 with equation 2:
{-(7 x) + 4 y = 10 | (equation 1)
3 x + y = 12 | (equation 2)
Add 3/7 × (equation 1) to equation 2:
{-(7 x) + 4 y = 10 | (equation 1)
0 x+(19 y)/7 = 114/7 | (equation 2)
Multiply equation 2 by 7/19:
{-(7 x) + 4 y = 10 | (equation 1)
0 x+y = 6 | (equation 2)
Subtract 4 × (equation 2) from equation 1:
{-(7 x)+0 y = -14 | (equation 1)
0 x+y = 6 | (equation 2)
Divide equation 1 by -7:
{x+0 y = 2 | (equation 1)
0 x+y = 6 | (equation 2)
Collect results:
Answer:{x = 2 , y = 6
A local charity organization held an event to celebrate its work for the past five years. A local newspaper reporter who attended the event asked 75 of the attendees about their contributions. The reporter computed the mean amount of money raised by the 75 attendees to be $18,500. In an article published by the local newspaper, the reporter was quoted as stating, "The members of the charity organization were successful in raising money for their cause. Last year, they raised a mean amount of $18,500!"
Part A: What is a statistical advantage of using the median of the reported amounts, rather than the mean, as the estimate of the typical amount raised? (4 points)
Part B: The newspaper editor felt the individuals who attended the event may be different from the organization as a whole. A more detailed survey of the members was planned to determine a better estimate of the amount of money raised. The staff developed two methods based on the available funds to carry out the survey.
Method 1: Send out an e-mail to all 10,530 members of the organization and ask them to complete an online form. The staff estimates at least 2,000 members will respond.
Method 2: Select a simple random sample of members of the organization and contact the selected members directly by phone. Follow up to ensure all responses are obtained. Because method 2 requires more time than method 1, the staff estimates that only 1,000 members of the organization can be contacted using method 2.
Which of the two methods would you select for estimating the average yearly amount raised by all 10,530 members of the charity organization? Explain your reasoning by comparing the two methods and by describing the effect of each method on the estimate.
Answers
Answer:
Part A. The statistical advantage of using the median is that the median is less effected by skewed data and outliers.
Part B. I would select method two because method one has a non-response bias and the sample individuals are not selected at random.
Step-by-step explanation:
Higher values pull averages up where medians just select the middle value and aren't necessarily pulled by outliers.
Non response biases happen when the individuals chosen choose not to answer or can volunteer to answer.
Sending out emails to everyone at the org is not choosing them at random.
A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.
Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Part A:
A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.
In this case,
If there were a few attendees who contributed a very large amount of money, it would increase the mean and make it an overestimate of the typical amount raised.
However, the median would not be affected by the outliers, and it would give a better estimate of the typical amount raised by the majority of the attendees.
Part B:
Method 1 would be a better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization.
This is because it would have a larger sample size than method 2, which would make the estimate more precise and reduce the sampling error.
Additionally,
Method 1 would include a broader range of members, including those who may not have attended the event or who may have contributed in other ways besides donating money.
Method 2, on the other hand, would have a smaller sample size and would only include a random subset of the organization's members, which could lead to sampling bias if the selected members are not representative of the larger population.
Furthermore, the follow-up required by method 2 would make it more time-consuming and potentially less cost-effective than method 1.
Thus,
Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization because it would have a larger sample size, include a broader range of members, and be more cost-effective than method 2.
Learn more about the median here:
https://brainly.com/question/28060453
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Someone please help me
Answers
Answer:
hi buddy
the answer is a if we divide both with equation 4 then you can get the answer
hope it likes you.....
please mark brainlist
The volume of an oblique pyramid with a square base is V units3 and the height is h units.
An oblique pyramid with a square base has a volume of V units cubed and a height of h units.
Which expression represents the area of the base of the pyramid?
StartFraction 3 V Over h EndFraction units2
(3V – h) units2
(V – 3h) units2
StartFraction V Over 3 h EndFraction units2
Answers
Answer:
StartFraction 3 V Over h EndFraction units2Step-by-step explanation:
volume of an oblique square pyramid V = 1/3 * b * H where;
b is the base area of the pyramid
H is the height of the pyramid
To determine the expression that represents area of the base of the pyramid, we will make the variable 'b' the subject of the formula from
V = 1/3 bH
[tex]V=\frac{bH}{3}[/tex]
Cross multiplying we have;
[tex]3V = bH\\[/tex]
Dividing both sides by H we have;
[tex]\frac{3V}{H} = \frac{bH}{H} \\b = \frac{3V}{H}units^{2}[/tex]
This gives the correct expression for the base area of the pyramid
Answer:
A.
Step-by-step explanation:
You are going to buy a pizza, and have 3 options. The first option is a rectangular pizza that is 8 inches by 16 inches. The second option is a circular pizza that has a diameter of 10 inches. The third option is a pizza in
the shape of a triangle, with a base of 14 inches, and a height of 10 inches.
Which pizza is the largest? (You must give the area of each pizza to
receive credit)
*
Answers
Answer:
The largest pizza is Rectangular Pizza .
Step-by-step explanation:
In order to know which pizza is the largest you have to find the area for each shape using the formulas :
Rectangular pizza,
[tex]area = length \times width[/tex]
Let length = 8 inches,
Let width = 16 inches,
[tex]area = 8 \times 16[/tex]
[tex]area = 128 \: \: {inches}^{2} [/tex]
Circular pizza,
[tex]area = \pi \times {r}^{2} [/tex]
Let r = 5 inches,
[tex]area = \pi \times {5}^{2} [/tex]
[tex]area = 25\pi[/tex]
[tex]area = 78.5 \: \: {inches}^{2} [/tex]
Triangular pizza,
[tex]area = \frac{1}{2} \times base \times height[/tex]
Let base = 14 inches,
Let height = 10 inches,
[tex]area = \frac{1}{2} \times 14 \times 10[/tex]
[tex]area = \frac{1}{2} \times 140[/tex]
[tex]area = 70 \: \: {inches}^{2} [/tex]
What is 1/2 multiplied -3/4
Answers
Answer:
the answer is -3/8hope this helps
Which is a name for the angle shown? Select all that apply
Answers
Answer:
D
Step-by-step explanation:
Well, the angle is an acute angle and <CDE is what would connect to make an acute angle. Easy.The name for the angle shown is ∠D and ∠CDE.
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
An angle is formed when two straight lines or rays meet at a common endpoint.
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Angles formed by two rays lie in the plane that contains the rays.
Angles are also formed by the intersection of two planes.
The name of the angle are ∠D and ∠CDE.
Hence, the name for the angle shown is ∠D and ∠CDE.
To learn more on Coordinate Geometry click:
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Need help ASAP. WILL MARK BRAINLIEST.
Answers
Answer:
Circumference = 2 x 3.14 x radius = 27 (in)
=> radius = 27/(2 x 3.14) = 4.3 (in)
=> Area = 3.14 x radius^2 = 3.14 x 4.3^2 = 58.1 (in2)
Answer:
58 inches^2
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi *radius^{2}[/tex]
To work out the area of this circle you would first need to divide the circumference of 27 by pi, this gives you 8.594. This is because the formula for the circumference is: [tex]\pi *diameter\\[/tex] and so by dividing the circumference by pi we are isolating the value of the diameter.
Then now that we have worked out the diameter we can now begin to work out the area, however in order to work out the area we must work out the radius. You can do this by dividing the diameter by 2, which gives you 4.297.
Then to work out the area you would multiply pi by the radius of 4.297 squared, this gives you 58.01 [tex]inches^{2}[/tex].
The next step is to round it to the nearest whole number, this gives you 58.
1) Divide 27 by pi.
[tex]27/\pi =8.594[/tex]
2) Divide 8.594 by 2.
[tex]8.594/2=4.297[/tex]
3) Multiply pi by 4.297 squared.
[tex]\pi *4.297^{2} =58.01[/tex]
4) Round to the nearest whole number.
58 square inches
Please answer me<br />bis two fifths of c.<br />4a = 30<br />Work out the ratio a:b:c<br />Give your answer in its simplest form where a, b and c are integers.
Answers
b is two fifths of c, so we make this a ratio with c = 1.
The ratio of b:c is 2/5 : 1
We also have 4a = 3c, rewrite this ratio so c is 1 by dividing both sides by 4,
so we get the ratio of a to c as 3/4 : 1
Now we get the a:b:c ratio of 3/4 : 2/5 : 1 now we can change the fractions to whole numbers, first by multiplying the 3 numbers by 4 to get get rid of the denominator of 4 in a:
3 : 8/5 : 4
Now multiply the 3 numbers by 5 to remove the denominator of 5 in b:
15 : 8 : 20
Now we can check using the equations:
b is 2/5 of c: 20 x 2/5 = 40/5 = 8 This is true.
4a = 3c: 4(15) = 3(20) = 60 = 60, this is also true.
The ratios is 15 : 8: 20
Which of theses numbers are prime
7,42,65,87,95
Answers
Answer:
7
Step-by-step explanation:
7 is a prime number. hope this helps!! moo!
What is the solution of this equation?
-1y = -4
Answers
Answer:
y = 4
Step-by-step explanation:
-1y = -4
Divide both sides by -1 to get y by itself.
-1/-1 = -4/-1
y = 4
It's positive because there are two negatives, which mean they cancel out.
What is the value of x in the equation
1/3x - 1/2 = 18 1/2
a. 6
b. 15
c. 54
d. 57
PLEASE HURRY I NEED HELP
Answers
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)
A group of students recorded how much money they earned per week for allowance to the nearest dollar. The students created the following histogram.
Which data set below was used to create this histogram?
A
$1, $2, $2, $3, $3, $3, $4, $4, $4, $4
Answered Incorrectly
B
$2, $3, $4, $5, $6, $7, $8, $10, $14, $15
C
$2, $4, $5, $7, $7, $9, $10, $14, $15, $20
D
$3, $4, $6, $7, $7, $8, $11, $14, $16, $17
Answers
Answer:
C
Step-by-step explanation
Answer:
c
Step-by-step explanation:
Anyone else getting the nasty storms from Tropical Storm Arthur? (I live in Virginia Beach, VA so I am :/)
Answers
Answer:
No not yet. But Sumter County is supposed to get rain all week starting today. It's starting to thunder now.
Answer:
Oh yeah...
Step-by-step explanation:
Arthur is bullying my house.......
(Brainliest?)
