Answers
Answer:
B. 273
Step-by-step explanation:
First we have to find the volume of the pencil box.
The volume formula for a rectangular prism is lwh (Length x width x height). Length (6 1/2) x Width (3 1/2) x Height (1 1/2) = 34.125 (Volume of the pencil box)
Next, we have to find the volume of the cube.
The volume formula of a cube is the same as the volume formula for a rectangular prism (lwh). However, a cube's side lengths are all the same. This means that the volume of the cube would be Length (.5) x Width (.5) x Height (.5) = .125
Last, we have to divide the volume of the pencil box by the volume of the cube.
34.125 / .125 = 273 or B.
Related Questions
What are fees paid to the lender before it releases a check for the home
purchase called?
A. Nonrecurring fees
B. Home fees
C. Recurring fees
D. Closing costs
SUBMIT
Answers
An orange juice manufacturer advertises a new orange juice product that contains 50% less sugar. This new product is expected to increase profits substantially because they create the 50% less sugar product by replacing 50% of the juice with water while selling it for the same price. An inspector wants to investigate whether the actual percentage of water in the product is within 5% of the intended 50%.
He selects a random sample of 500 containers of orange juice and determined the percentage of each that is water. He plans to conduct a significance test at the a = 0.01 level to see if there is convincing evidence that the proportion of water added is different from 0.50. What is the probability that the inspector makes a Type I error?
(A) 0.01
(B) 0.05
(C) 0.10
(D) 0.45
(E) 0.50
Answers
Answer: A. 0.01
Step-by-step explanation:
Type I error are refered to as false positives and it means that when a statistically significant difference is validated by the researcher even though the results aren't statistically significant.
Type I error is when one rejects the null hypothesis even though it's actually true. In this case, the inspector rejects the hypothesis which was that the proportion of water that is contained the product is 0.5.
The probability of type 1 error will then be equal to the hypothesis level of significance and this will be 0.01.
Given the following formula, solve for l.
Answers
P=2l + 2b
P-2b=2l
P-2b/2=l
C is your answer
Answer: Option C
l = (P - 2b)/2
Step-by-step explanation:
From P = 2(l + b)
Divide both sides by 2;
P/2 = 2(l + b)/2
P/2 = l + b
l + b = P/2
Make l the subject of formula;
l = (P/2) - b
l = (P - 2b)/2
If the area of a rectangle is 16a^3 – 12a² + 8a and the width is 4a. Find the length
of the rectangle.
Answers
Answer:
4a² - 3a + 2
Step-by-step explanation:
*picture above*
3.
Work out
(a)
(__)-(3)
Answers
(A)-(3)
Which equals:
= -3
Hope this helps... have a good day!
A financial planner has three portfolios: A, B, and C. Because investors have different tolerances for risks, 20% of people are likely to invest in portfolio A, 30% are likely to invest in B, and 50% are likely to invest in C. Each portfolio has both stocks and bonds, and investors are equally likely to choose either.
This is a tree diagram that represents the probability of investors choosing the different financial products.
What is the probability of an investor choosing only bonds from portfolio B?
Answers
Solution :
P(A) = 0.2
[tex]$P(B)=0.3$[/tex]
[tex]$P(C)=0.5$[/tex]
Each portfolio has both the stocks and the bonds, and the investors are equally likely to choose either of them.
Let Stock = S
Bond = b
Therefore, we have:
[tex]$P(S|A) = 0.5$[/tex]
[tex]$P(b|A) = 0.5$[/tex]
[tex]$P(S|B) = 0.5$[/tex]
[tex]$P(b|B) = 0.5$[/tex]
[tex]$P(S|C) = 0.5$[/tex]
[tex]$P(b|C) = 0.5$[/tex]
Therefore,
[tex]$P(b \text{ and } B)= P(b|B) \times P(B)$[/tex]
= 0.5 x 0.3
= 0.15
Based on the tree diagram, probability of an investor choosing only bonds from portfolio B is 0.15.
What is probability?Probability is the chance or likelihood of an event occurring.
Mathematically, probability is given as;
Probability = number of expected outcomes/number of possible outcomesFrom the tree diagram:
P(A) = 0.2
P(B) = 0.3
P(C) = 0.5
The investors are equally likely to choose from each portfolio.
Each portfolio has both the stocks and the bonds.
Assuming stock = S and Bond = B.
Then;
P(S|A) = 0.5
P(b|A) = 0.5
P(S|B) = 0.5
P(b|B) = 0.5
P(S|C) = 0.5
P(b|C) = 0.5
[tex]P(b \text{ and } B)= P(b|B) \times P(B)[/tex]
[tex]P(b \text{ and } B)= 0.5 \times 0.3 = 0.15[/tex]
Therefore, the probability of an investor choosing only bonds from portfolio B is 0.15.
Learn more about probability at: https://brainly.com/question/251701
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BRAINLIEST ASAP
does anyone have the worksheet answers?
Answers
2. -3
3. -1
Hope this helped…
Answer:
√-4 = 2 i
√-9 = 3 i
√-2 = 1.41421356237 i
pick number 1-10 if you get it right ill pay 50 dollas
Answers
Which of the following is equivalent to the expression below?
Answers
To get the answer, we'll use the following property of logs:
logₓ(A) + logₓ(B) = logₓ(A*B)
SImplifying the given expression:
Now, we are given the expression:
log₆36 + log₆216
Using the property listed above, we can rewrite it as:
log₆(36*216)
log₆(7776)
Hence, option (C) is correct
Please help me with this question
Answers
Answer:
It is 65 cm
Step-by-step explanation:
Alright, within the image, the triangles ABC and TUV are congruent. With this, the following is true: AB ≅ TU, BC ≅ UV, and CA ≅ VT because the order and their sides between the two triangles is shared.
With this, BC is ≅ to UV. Now, just set the two equations equal to each other:
9x+2=8x+9
9x=8x+7
x=7
Now, we've got x, though it needs to be plugged back into side BC for the final answer
9(7)+2
63+2
65 cm
part of the object is a rectangle that is twice as tall it is wide one of the rectangles sides is also a side of a pentagon
Answers
Answer:
b
Step-by-step explanation:
What inequality is represented by this graph?
1 2 3
s 8 i å
6 7 8 9
X36
X
x28
Answers
Answer:
[tex]x < 6[/tex]
Step-by-step explanation:
Given
The attached plot
Required
The inequality
The arrow points starts at 6 and points left.
This means that:
[tex]x < 6[/tex] or [tex]x \le 6[/tex]
The open circle on 6 implies that the inequality is either [tex]<[/tex] or [tex]>[/tex]
Hence, [tex]x \le 6[/tex] is invalid
So, the inequality is: [tex]x < 6[/tex]
Half of a class took Form A of a test, and half took Form B. Of the students who took form B, 39% passed. What is the probability that a randomly chosen student took Form B and did not pass?
Answers
Answer:
0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Took Form B.
Event B: Did not pass.
Half of a class took Form A of a test, and half took Form B.
This means that [tex]P(A) = 0.5[/tex]
Of the students who took form B, 39% passed.
So 100 - 39 = 61% did not pass, which means that [tex]P(B|A) = 0.61[/tex].
What is the probability that a randomly chosen student took Form B and did not pass?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
[tex]P(A \cap B) = P(B|A)*P(A) = 0.61*0.5 = 0.305[/tex]
0.305 = 30.5% probability that a randomly chosen student took Form B and did not pass
$24,000 at 5.5% for 5 years
Answers
Obwód narysowanego obok sześciokąta wynosi 72 cm. Oblicz długości wszystkich jego boków.
Answers
Answer:
72 cm ze wszystkich stron
Step-by-step explanation:
promień jest równy bokom kształtu.
A man covers a distance of 150m in 1.5mins. Find the average speed in km per hour
Answers
Answer:
See it like this. 2.5km in 5minutes, and one hour has 60 mins. 60/5 = 12 60 mins is (5mins*12) So if the minutes were 60, distance would be 2.5*12 = 30. He will cover 30km in 1hr(60 minutes) So his speed in 30km/hr
In a glass the ratio of water
to juice is 11:2
What fraction of the drink
is juice?
Answers
Answer:
The fraction of the drink that is juice is [tex]\frac{2}{13}[/tex]
Step-by-step explanation:
Since the ratio of the water to juice is 11:2, that means the ratio of juice to the total amount of liquid in the glass would be [tex]\frac{2}{11+2}[/tex] or [tex]\frac{2}{13}[/tex].
The fraction of the drink that is juice is [tex]\( \frac{2}{13} \)[/tex].
The ratio of water to juice in the glass is 11:2. This means that for every 11 parts of water, there are 2 parts of juice in the drink.
To find the fraction of the drink that is juice, we need to add the number of parts of juice and water together. In this case, we have 11 parts of water and 2 parts of juice, making a total of [tex]\(11 + 2 = 13\)[/tex] parts.
Now, to find the fraction of juice in the drink, we divide the number of parts of juice by the total number of parts in the drink. So, we have:
[tex]\( \text{Fraction of juice} = \frac{\text{Number of parts of juice}}{\text{Total number of parts}} = \frac{2}{13} \).[/tex]
Thus, [tex]\( \frac{2}{13} \)[/tex] of the drink is juice.
In summary, to find the fraction of juice in the drink, we first add the number of parts of juice and water together to get the total parts in the drink.
Then, we divide the number of parts of juice by the total parts to find the fraction of juice. In this case, the fraction of juice in the drink is [tex]\( \frac{2}{13} \).[/tex]
To know more about Fraction here
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Given AJKL: AXYZ, find x.
Answers
Answer:
6 = 9
8 x
we cross multiply 6× x = 6x 9×8 = 72
6x = 72
6 6
x = 12
The box plots show the average gas mileage, in miles per gallon, of the cars sold at a dealership in June and in
December
Gas Mileage of Cars Sold in June
which inference can be made about cars?
a) The type of cars sold in June typically gets better gas mileage
b) The type of cars sold in December typically gets better gas mileage
c) The type of cars sold in the two months typically get about the same gas mileage
d) The types of cars sold in the two months typically get better gas mileage then those sold in other months
please help, thanks!
Answers
Answer:C
Step-by-step explanation:
I took the test
Answer:
C
Step-by-step explanation:
The types of cars sold in the two months typically get about the same gas mileage.
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°
D. An angle measuring -265°
Answers
Which negative angle is equivalent to an 85° angle?
A. An angle measuring -95°
B. An angle measuring -275°
C. An angle measuring -85°D. An angle measuring -265°
-KeonLee
I hope it help
#Carry on learning
An angle measuring -275°
*view photo*
Help me?!?! Giving out brainliest
Answers
34x22=748
748h=1500
Answer:
748h=1,500
Step-by-step explanation:
volume=length x width x height
we know the length and width so
v=34 x 22, which that equals 748
to find the length we need to divide 1,500 and 748.
hope this helps!
BEEN ASKING FOR AN HOUR!! A trapezoid's area can be calculated by the formula A = 2 (61 + b2)h, where A stands for area, bį for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below. 6 m 9 m 14 m eps pdf png svg tex 28. A trapezoid's area can be calculated by the formula A = {(61 + b2)h, where A stands for area, by for the first base's length, ba for the second
Answers
Answer:
The area is: [tex]69m^2[/tex]
Step-by-step explanation:
Given
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
[tex]b_1 = 9m[/tex]
[tex]b_2 = 14m[/tex]
[tex]h =6m[/tex]
Required
The area
We have:
[tex]A= \frac{1}{2}(b_1 + b_2) * h[/tex]
This gives:
[tex]A = \frac{1}{2}* (9m + 14m) * 6m[/tex]
[tex]A = \frac{1}{2}* 23m * 6m[/tex]
[tex]A = 69m^2[/tex]
Which graph represents the function f(x) =4·3^x
Answers
Answer:
c
Step-by-step explanation:
the answer is c c c c c c c c
What is the surface area of the cylinder with height 3 mi and radius 2 mi? Round your answer to the nearest thousandth.
Answers
Answer:
62.832 mi^2
Step-by-step explanation:
Top and bottom faces : 2^2 x pi = 4pi 4pi x 2 = 8 pi mi^2
Curved Surface Area= pi x diameter x height
= pi x 4 x 3 = 12 pi mi^2
So total SA= 8pi + 12pi = 20 pi mi62 = 62.832 mi^2 (nearest thousanth)
Answer:
SA=62.832 mi^2
Step-by-step explanation:
To find the surface area of a cylinder, you have to use the formula SA=2πrh+2πr^2. This means the surface area will be (2π x (3x2)) + (2π x (2x2)). If I simplify, I get 12π+8π. That's 20π. If I convert, I get approximately 62.8318531. In your case, I round to the nearest thousandth, and my final answer is 62.832.
find the value of x. round to the nearest tenth.
Answers
Answer:
x = 17.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 51 = x /28
28 cos 51= x
x=17.62097
To the nearest tenth
x = 17.6
Please answer this question correctly
Answers
HELP!!! The graph is at the top! Will mark as brainliest answer!!
Answers
Answer:
The value of BEF = 36°
Step-by-step explanation:
Given:
Angle AED = 90°
Angle BEF = 3x°
Angle CEF = 54°
Find;
The value of BEF
Computation:
We know that;
Angle AED = Angle BEC (Vertical opposite angle)
So,
Angle AED = Angle Angle BEF + Angle CEF
90 = 3x + 54
3x = 90 - 54
3x = 36
x = 36 / 3
x = 12
The value of BEF = 3x
The value of BEF = 3(12)
The value of BEF = 36°
HELP
When x=7
7+7(x-3)²
Answers
Answer:
it should be 119
Step-by-step explanation:
(7-3) = 4
4^2 = 16
16 x 7 = 112
112 + 7 = 119
Answer: 119
[tex]7+7(x-3)^{2}[/tex]
[tex]7+7(7-3)^{2}[/tex]
[tex]7+7(4)^{2}[/tex]
[tex]7+7(16)[/tex]
[tex]7+112[/tex]
=119
Tanya is making a blueprint of an Olympic-size swimming pool. The length of the pool is 50 meters, and its width is 25 meters. If Tanya uses a scale factor of 3 inches per 5 meters, what is the perimeter of the pool in the scale drawing?
A.
45 inches
B.
90 inches
C.
100 inches
D.
225 inches
E.
450 inches
Answers
Answer:
B. 90 inches
Step-by-step explanation:
Given that
The length is 50 m
And, the width is 25 m
Scale factor is 3 inches per 5 m
We need to find out the perimeter of the pool
So,
5 meter = 3 inches
3 ÷ 5 = x ÷ 50
x = 30 inches = length
Now
3 ÷ 5 = x ÷ 50
x = 15 inches = width
Now the perimeter of the pool is
= 2(l + w)
= 2 (30 + 15)
= 90 inches
A non-profit organization plans to hold a raffle to raise funds for its operations. A total of 1,000 raffle tickets will be sold for $1.00 each. After all the tickets are sold, one ticket will be selected at random and its owner will receive $50.00. The expected value for the net gain for each ticket is -$0.95. What is the meaning of the expected value in this context?
A. The ticket owners lose an average of $0.05 per raffle ticket.
B. The ticket owners lose an average of $0.95 per raffle ticket.
C. Each ticket owner will lose $0.95 per raffle ticket.
D. A ticket owner would have to purchase 19 more tickets for the expected value of his or her net gain to increase to $0.00.
E. A ticket owner has a 95 percent chance of having a ticket that is not selected.
Answers
Answer:
The answer is "Option b".
Step-by-step explanation:
In the given question, 1000 ticket were sold for [tex]\$1[/tex] and the owner who receives tickets which are randomly chosen that wins [tex]\$50[/tex].
[tex]Net\ profit = 1000\times 1-1\timesv 50 = \$950\\\\Net \ profit \ for\ ticket = \frac{\$950}{1000} = \$0.95[/tex]
The probability in which each ticket owners win [tex]= 0.001[/tex]
therefore the ticket owner net profit = [tex]= -1+0.001\times 50 = -0.95\\\\[/tex]