Answers
Answer:
2268mm^3
Step-by-step explanation:
To find the volume of the whole shape, an easier way would be to find the volume of each seperate prism and add them together.
The top/smaller prism has dimensions of 4mm x 3mm x 9mm.
Multiply together and you get (4mm x 3mm) x 9mm = 12mm x 9mm = 108mm
The bottom/bigger prism has the dimensions of 12mm x 9mm x 20mm
Multiply together and you get (12mm x 9mm) x 20mm = 108mm X 20mm = 2160mm
Add 108mm + 2160mm and you get the final volume of 2268mm^3
*Because you're working with volume you always add a ^3 after your measurement (units cubed)
Related Questions
Decide whether the relation defined by the graph to the right defines a function, and give the domain and range.
Does the graphed relation define a function?
Answers
One of the questions in a study of marital satisfaction of dual-career couples was to rate the statement, "I'm pleased with the way we divide the responsibilities for childcare." The ratings went from 1 (strongly agree) to 5 (strongly disagree). The table below contains ten of the paired responses for husbands and wives. Conduct a hypothesis test at the 5% level to see if the mean difference in the husband's versus the wife's satisfaction level is negative (meaning that, within the partnership, the husband is happier than the wife). Wife's score 2 2 3 3 4 2 1 1 2 4 Husband's score 2 1 2 3 2 1 1 1 2 4 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
(1)State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.)
(2)What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
(3) What is the p-value? (Round your answer to four decimal places.)
(4)Alpha (Enter an exact number as an integer, fraction, or decimal.)
α =
Answers
Answer:
Step-by-step explanation:
Corresponding response ratings of wives and husbands form matched pairs.
The data for the test are the differences between the response ratings.
μd = the wives response ratings minus their husband's response ratings.
Wives. Husbands diff
2 2 0
2 1 1
3 2 1
3 3 0
4 2 1
2 1 1
1 1 0
1 1 0
2 2 0
4 4 0
Sample mean, xd
= (0 + 1 + 1 + 0 + 1 + 1 + + 0 + 0 + 0 + 0)/10 = 0.4
xd = 5.67
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2+ (0 - 0.4)^2 + (1 - 0.4)^2 + (1 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 + (0 - 0.4)^2 = 2.4
Standard deviation = √(2.4/10
sd = 0.49
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
1) The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 10 - 1 = 9
2) The formula for determining the test statistic is
t = (xd - μd)/(sd/√n)
t = (0.4 - 0)/(0.49/√10)
t = 2.581
3) We would determine the probability value by using the t test calculator.
p = 0.0148
4) Assume alpha = 0.05
Since alpha, 0.05 > than the p value, 0.0148, then we would reject the null hypothesis.
Therefore, at 5% significance level, we can conclude that the mean difference in the husband's versus the wife's satisfaction level is negative
a path that is 7/8 of a mile long is divided into sections that are two sixteenth of a mile long how many sections are created? simplify 2/16 first to make your work easier.
Answers
Answer:
There are going to be 7 sections in the path
Step-by-step explanation:
First Step:
Simplify 2/16 in 1/8
Second Step:
Since the path is 7/8 of a mile long, and the sections are 1/8 of a mile long. There will be 7 sections because 1/8 will go into 7/8 7 times.
find the odd one in the series.835,734,842,761,853,981,532?
Answers
Answer:
835,761,853,981
Step-by-step explanation:
To find how long numbers are odd you look at the last number for example 835,5 is an odd number making the rest of the numbers odd.
Hope my explanation helped
Please answer number 5 I give brainliest thank you!
Answers
Answer:
Mean : 66
Mode: 80
Median:70
Step-by-step explanation:
Mean: sum divided by number of numbers. So, 330 divided by 5 which is 66
Mode most occurring, so 80.
Median arrange in ascending order and find middle value, so 70
In ΔGHI, the measure of ∠I=90°, IG = 3.9 feet, and GH = 6.3 feet. Find the measure of ∠H to the nearest tenth of a degree.
Answers
Answer:
IG=28.9 ft
Step-by-step explanation:
we know that
In the right triangle GHI
----> by CAH )adjacent side divided by the hypotenuse)
substitute the given values
solve for IG
see the attached figure to better understand the problem
Answer:
H=38.2466≈38.2
Step-by-step explanation:
Evaluate 15 + |-3| - 4
Answers
Those lines on both sides of the number means "absolute value." Those lines tell us that the number is positive no matter what. So:
15 + |-3| - 4 → 15 + 3 - 4
Remember to follow PEMDAS when solving.
(15 + 3) - 4
18 - 4
14
Therefore, the answer is 14.
Best of Luck!
Answer: 14
Step-by-step explanation: The vertical bars around the -3 mean that we take the absolute value of that number which is the positive version of that number.
So the absolute value of -3 would be 3.
So we have 15 + (3) - 4 which simplifies to 18 - 4 or 14.
Notice that I used parentheses when first getting rid of the absolute value signs. I think that this method will help you avoid confusion when simplifying absolute values.
It's a good habit to get into for future problems.
A survey asked people how they get to work or school, based on what kind of area they live in. The results are shown in the table below. What is the conditional relative frequency of people in suburban areas who drive to work? Urban Suburban Rural Total Walk 19 4 10 33 Bike 15 12 8 35 Public Transportation 22 17 7 46 Drive 6 20 33 62 Total 62 53 58 176
Answers
Answer:
We're comparing the number of urban people who use public transportation to the total number of Urban people. So the answer would be 22/62, which is A. ~0.355.
Step-by-step explanation:
hope it helps ig
Megan's aquarium has a volume of 4,320 cubic inches.
Which could be the dimensions of the aquarium?
Select all that apply.
A 24 in. by 32 in. by 13 in.
B 18 in. by 24 in. by 10 in.
C 22 in. by 25 in. by 18 in.
D 12 in. by 15 in. by 24 in.
Answers
Answer:
B, and D.
Step-by-step explanation:
To calculate all of the possible dimensions, you multiply all of numbers in each letter to get the volume. If the volume in one of the letters equals 4,320 cubic inches, then that letter is one of your answers. For example, if you multiply for letter A, which includes the dimensions 24 in, 32 in, and 13 in, then you would get 9,984, which is not the same as 4,320.
What is the vertex of the function " f(x) = x2 – 8x – 9 "
Answers
Answer:
(4, -25)
Vertex form: (h, k)
Answer:
Hey!
Your answer is (4, -25) in the vertex form which is (h,k)
Step-by-step explanation:
HOPE THIS HELPS!!
Plot the vertices (-2, -8), (-2, 2), and (8, 2).
What is the last vertex of the rectangle?
What is the area of the rectangle?
square units
Answers
Answer:
(8, -8)100 square unitsStep-by-step explanation:
The diagonals of a rectangle have the same midpoint, so for points A, B, C, D, we must have ...
(A+C)/2 = (B+D)/2
D = A + C - B
D = (-2, -8) +(8, 2) -(-2, 2) = (-2+8+2, -8+2-2)
D = (8, -8)
__
The side lengths are 2-(-8) = 10, and 8-(-2) = 10. The area is the product of the side lengths, so is 10×10 = 100 square units.
_____
Comment on side lengths
When the end points of one side are on the same vertical line, the length of that side is the difference of y-coordinates. When the points lie on the same horizontal line, the side length is the difference of x-coordinates.
Answer:
the last vertex is (8,-8)
the area of the rectangle is 100 square units
Step-by-step explanation:
need some assistance on this question.
Answers
Answer:
Surface area = [tex]2 \pi r^2 = 2 (12)^2 \pi in^2 = 288 \pi in^2[/tex]
Volume =[tex] 2/3 \pi r^3 = 2/3 (12)^3 \pi in^3 = 1152 \pi in^3[/tex]
Answer:
volume = 2/3πr³
2×π×12×12×12
3
1152π
surface area= 2πr²
2×π×12×12
288π
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.
Answers
Answer:
D. [tex]d=\frac{C}{\pi }[/tex]
Step-by-step explanation:
C = πd
In order to solve for d, we need to divide both sides of the equation by πDoing so we get [tex]\frac{C}{\pi } =\frac{\pi d }{\pi }[/tex] This then simplifies to [tex]\frac{C}{\pi } =d[/tex]Renting a trailer for 4 days costs $84. Renting the trailer for 5 days costs $100. Using the
linear equation above that represents the (days, cost) which of the following choices
would be the cost for renting the trailer for 10 days?
Answers
Answer:
$210
Step-by-step explanation:
do 84/4 to find out money per day which is 21. 21 x 10 = 210
therefore 210 is the answer
Hannah is a freshman in college. Her scholarship indicated that each quarter she has $1000 deposited into a meal plan account for her to use to purchase food. Every day Hannah spends $25 on food. Let f(x) represent the amount of money remaining in the account and x represent the number of days.
Answers
Answer:
f ( x ) = $1000 - $25*x
( 40 days, $0 )
( 0 days , $1000 )
Step-by-step explanation:
Solution:-
- Every quarter Hannah receives $1000 in her account for meal plan.
- So for a quarter of a year she has $1000 to spend.
- She spends $25 on food each day; hence, an amount of $25 is deducted each day.
- We can mathematically express the amount remaining in her account after ( x ) days as follows:
y = f(x) = Initial deposit - (per day deduction)*x
Where,
y: The amount remaining in Hannah's account after x days.
- The initial amount is the quarterly deposit of $1000 and per day deduction is her buying food each day for $25.
y= f(x) = $1000 - ($25)*x
- The thing to note is that the above function f(x) is only defined over the domain of a quarter of year i.e from the first day she receives her amount till the next deposit.
- The number of days it will take for Hannah to empty her account can be determined from finding the x-intercept or ( y = f(x) = 0 ) using the function defined above:
f ( x ) = 1000 - 25x = 0
x = 1000 / 25
x = 40 days
- So it will take 40 days for Hannah to empty her account. As an ordered pair it can be written as:
( 40 days , $0 ) ... Answer
- The initial deposit of $1000 corroborates the y-intercept of the function defined f ( x ). Or we can evaluate the derived function at f ( 0 ):
f ( 0 ) = 1000 - 25*0
f ( 0 ) = $1000
- The ordered pair for the y-intercpet would be:
( 0 days , $1000 ) ... Answer
What is the value of the expression 5 × (4 + 3) – 4
Answers
Answer:
31
Step-by-step explanation:
distribution
5(4+3) - 4
20+15-4
=31
Answer:
19
Step-by-step explanation:
5 x 4 = 20 + 3 = 23 - 4 = 19 I hope this helps
Is my answer of mine days right.
Answers
Answer:
indeed it is
Step-by-step explanation:
What does up this mean?
Answers
So all he have to do is add 0.5 to the mark
Use the vertical line test to determine which graph does not repela function
Answers
Answer:
graph b
Step-by-step explanation:
if you put vertical lines through all graphs (this is the vertical line test) they shouldn't pass through more than one line, but in graph B it does. So B doesn't represent a function
Answer:
the answer is graph b
Step-by-step explanation:
A man loses 20 percent by selling an article for 11 naira. What was the cost price of the article
Answers
Answer:
hbbhhhhhggggg
Step-by-step explanation:
vgggggffffff
what is the circumference of the semicircle
Answers
Answer:
[tex]12.56m[/tex]
Step-by-step explanation:
[tex] \frac{180}{360} \times 2\pi \: r \\ \frac{1}{2} \times 2 \times \pi \times 4 \\ = 12.56m[/tex]
Answer:
this answer is attached to the picture
Suppose Lorenzo and Neha are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Lorenzo chooses Right and Neha chooses Right, Lorenzo will receive a payoff of 6 and Neha will receive a payoff of Neha Left RightLorenzo Left 8, 4 4, 5 Right 5, 4 6, 5The only dominant strategy in this game is for _________ (Neha/Lorenzo) to choose ______________(Right/Left)t .The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses ___________ (Right/Left) and Neha chooses _________ (Right/Left) .
Answers
Answer:
In the field of economics, more specifically game theory, describes the interaction involving candidates where one cannot have an advantage over the other if the latter makes no change in their strategy - is referred to as the Nash Equilibrium.
The correct option has been inserted in the blank and underlined, please see below:
The only dominant strategy in this game is for Neha to choose Right.The outcome reflecting the unique Nash equilibrium in this game is as follows: Lorenzo chooses Right and Neha chooses Right.
Hope that answers the question, have a great day!
Assignment
What is the point-slope form of a line that has a slope of 3 and passes through the point (-1,4)?
Answers
Answer:
y -4 = 3(x +1)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m passing through point (h, k) is ...
y -k = m(x -h)
Your values for these parameters are ...
m = 3
(h, k) = (-1, 4)
Filling these into the form gives the equation you're looking for:
y -4 = 3(x +1)
A 7 kg ham costs $19/kg. Find the cost per pound.
Answers
Answer: [tex]\$8.62/\text{Pound}[/tex]
Step-by-step explanation:
Given
There is [tex]7\ kg[/tex] of ham available which costs
cost[tex]=\$\ 19/kg[/tex]
i.e.
[tex]1\ kg\ \text{costs}\ \$19[/tex]
and we know
[tex]1\ kg=2.204\ \text{pound}[/tex]
So, [tex]2.204\ \text{Pound costs}\ \$19[/tex]
thus [tex]1\ \text{Pound costs}\ \dfrac{19}{2.204}=\$8.62/\text{Pound}[/tex]
744-__=312+220 I m in need
Answers
-x=532-744
x=-212
Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest hundredth
Answers
Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
Given a sector of a circle with the following dimensions:
Radius of the circle =60 inches
Central Angle of the sector =30°
(a)Arc Length
Arc Length [tex]=\dfrac{\theta}{360^\circ}X2\pi r[/tex]
[tex]=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)[/tex]
(b)Area of the sector
Area of the sector [tex]=\dfrac{\theta}{360^\circ}X\pi r^2[/tex]
[tex]=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)[/tex]
Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
why
do we use
quartz clock
Answers
Answer:
because see a time
Step-by-step explanation:
Ryan earned money babysitting. He earned $40, $40, $51, $32 and $22. Find the mean amount he earned.
Answers
Answer:
37
Step-by-step explanation:
add all and divide
Answer:
$37
Step-by-step explanation:
Add the values in the data set:
40 + 40 + 51 + 32 + 22 = 185
There are 5 values in the data set.
Divide 185 by 5:
185 ÷ 5 = 37
The mean amount that Ryan earned should be $37 dollars.
In a class,three fifths of the children are girls.what percentage are boys.
Answers
Answer:
40%
Step-by-step explanation:
If 3/5 = .06 are girls
that means
2/5 = .04 are boys
now
5/5 = 1 are the total children
Finally find the percentage
(.06)(100) = 60% girls
(.04)(100) = 40% boys
I need help so, please help
Answers
Answer:
4.2
Step-by-step explanation:
In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2
So if x√2 = 6, x = 3√2
3√2 is approximately 4.2
Hope this helps.