Answer:
$203,333
Step-by-step explanation:
Computation for the break-even in sales dollars for Division Q
First step is to compute the Segment Contribution Margin ratio
Using this formula
Segment Contribution Margin ratio = Segment contribution margin ÷ Segment sales
Let plug in the formula
Segment Contribution Margin ratio= $ 175,980÷ $ 419,000
Segment Contribution Margin ratio= 0.42
Last step is to find the break-even in sales dollars for Division Q using this formula
Break-even in sales dollars = Segment traceable fixed expenses ÷ Segment Contribution Margin ratio
Let plug in the formula
Break-even in sales dollars= $85,400÷ 0.42
Break-even in sales dollars=$203,333
Therefore the break-even in sales dollars for Division Q is $203,333
The mayor of a town has proposed a plan for the annexation of a new bridge. A political study took a sample of 1100 voters in the town and found that 54% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is more than 50%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
The p-value is [tex]p-value = 0.0039854[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 1100
The population proportion is p = 0.50
The sample proportion is [tex]\^ p = 0.54[/tex]
The null hypothesis is [tex]H_o : p = 0.50[/tex]
The alternative hypothesis is [tex]H_a : p > 0.50[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{ \sqrt{\frac{ p(1 - p)}{n} } }[/tex]
=> [tex]z = \frac{ 0.54 - 0.54 }{ \sqrt{\frac{ 0.50 (1 - 0.50)}{1100} } }[/tex]
=> [tex]z = 2.6533[/tex]
Generally from the z-table the probability of 2.6533 for a right tailed test is
[tex]p-value = 0.0039854[/tex]
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 s
370 calories by drinking 2 servings of juice and 1 serving of milk. Marian
of milk and 1 soda. Using matrices to solve, how many calories are in
Answer:
B. 110
Step-by-step explanation:
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180
Answer:
Let x represent the amount of calories in 1 servings of juice, y represent the amount of calories in 1 servings of milk and z represent the amount of calories in 1 servings of Soda.
Joe consumption can be represented by:
x + 2y + z = 530 (1)
Darius consumption can be represented by:
2x + y = 370 (2)
Marian consumption can be represented by:
3y + z = 510 (3)
The equations can be represented in matrix form as:
[tex]\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\ \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}1&2&1\\2&1&0\\0&3&1\end{array}\right] ^{-1}\left[\begin{array}{c}530\\370\\510\end{array}\right] \\\\\\[/tex]
[tex]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}0.33&0.33&-0.33\\-0.67&0.33&0.67\\2&-1&-1\end{array}\right]\left[\begin{array}{c}530\\370\\510\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}130\\110\\180\end{array}\right][/tex]
The amount of calories in one serving of milk is 110 calories
2. How many coefficients are in the expression 3,2 – 18y + 2y??
Answer:
2
Step-by-step explanation:
A coefficient is a number that is usually place before a variable to multiply it with.
Given expression:
3.2 - 18y + 2y
The variable in this problem is y;
So, the coefficients are:
-18 and +2
We have two coefficients.
The area A of a triangle with base b and height h is given by A = = bh. Find the area when b = 18 m (meters) and h = 30 m.
The area is m?
Answer:
[tex]Area = 270m^2[/tex]
Step-by-step explanation:
Given
[tex]A = \frac{1}{2}bh[/tex]
[tex]b = 18m[/tex]
[tex]h = 30m[/tex]
Required
Solve for A
Simply substitute 18 for b and 30 for h
[tex]A = \frac{1}{2}bh[/tex]
[tex]A = \frac{1}{2} * 18 * 30[/tex]
[tex]A = 270[/tex]
Hence:
The area is
[tex]Area = 270m^2[/tex]
4(7 + 8m)=8(-1 + 4m)
Answer:
There is no solution
Step-by-step explanation:
Let's use distributive property to solve this equation.
4(7+8m) = 8(-1+4m)
28+32m = -8+32m
-32m -32m
28= -8
There is no solution
Hope this helps!
The capacity of a dump truck is listed by the manufacturer as 10 yd3 . A construction site requires the removal of of dirt, and the contractor has four identical trucks. How many trips will each need to make
Question:
The capacity of a dump truck is listed by the manufacturer as 10 yd^3. A construction site requires the removal of 200 m^3 of dirt, and the contractor has three identical trucks. How many trips will each need to make?
Answer:
7 trips
Step-by-step explanation:
Given
[tex]Capacity = 10yd^3[/tex]
[tex]Dirts = 200m^3[/tex]
[tex]Trucks = 4[/tex]
Required
Determine the number of trips of each truck
Divide the volume of dirts by 4 to get the portion of each truck
[tex]Each\ Truck = \frac{200m^3}{4}[/tex]
[tex]Each\ Truck = 50m^3[/tex]
Divide the portion of each truck by capacity of each truck to get the number of trip
[tex]Trip = \frac{50m^3}{10yd^3}[/tex]
Convert m^3 to yd^3
[tex]Trip = \frac{50 * 1.30795yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975yd^3}{10yd^3}[/tex]
[tex]Trip = \frac{65.3975}{10}[/tex]
[tex]Trip = 6.53975[/tex]
Approximate:
[tex]Trip = 7[/tex]
The weights of baby tortoises are approximately Normal with a mean of 25.6 ounces and a standard deviation of 2.3 ounces. What proportion of baby tortoises weigh between 25 and 30 ounces?
592344435555544433234555
what is the slope of the line that contains these points x=12,13,14,15 y=-4,2,8,14
Answer:
6
Step-by-step explanation:
Fid the difference in the y-coordinates of any two points. This is the rise.
Then find the difference in the corresponding x-coordinates of the same points. This is the run.
slope = rise/run
Let's use x = 12, x = 15, and y = -4, y = 14.
rise = -4 - 14 = -18
run = 12 - 15 = -3
slope = rise/run = -18/(-3) = 6
Answer: slope = 6
each friend received 5/4 of a pound of berries, how many friends are sharing berries?
Answer:
2
Step-by-step explanation:
If 5 friends are sharing the berries, how many pounds of berries does each friend receive? Is the answer to 3/4 divided by 2/5 greater than or less than 1.
The distribution of speeds on a particular highway has a mean of 60 mph with a standard deviation of 10 mph. The distribution of speeds is NOT known to be bell-shaped. Use the scenario to answer the next 3 questions.
At least what percentage of cars is traveling between 40 and 80 mph?
At least what percentage of cars is traveling between 20 and 100 mph?
If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.
Answer:
a) At least what percentage of cars is traveling between 40 and 80 mph?
75%
b) At least what percentage of cars is traveling between 20 and 100 mph?
93.75%
c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.
30 cars.
Step-by-step explanation:
We apply Chebyshev's Theorem
This states that:
1) At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
2) At least 8/9 (88.89%) of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.
3) At least 15/16 (93.75%) of data falls within 4 standard deviations from the mean - between μ - 4σ and μ + 4σ.
From the question, we have:
Mean of 60 mph
Standard deviation of 10 mph.
a) At least what percentage of cars is traveling between 40 and 80 mph?
Applying:
Applying the first rule: At least 3/4 (75%) of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.
μ – 2σ
60 - 2(10)
60 - 20
= 40 mph
μ + 2σ.
60 + 2(10)
60 + 20
= 80 mph
Hence, at least 75% of cars is traveling between 40 and 80 mph.
b) At least what percentage of cars is traveling between 20 and 100 mph?
At least 15/6 (93.75%) of data falls within 4 standard deviations from the mean - between μ – 4σ and μ + 4σ.
μ – 4σ
60 - 4(10)
60 - 40
= 20 mph
μ + 4σ.
60 + 4(10)
60 + 40
= 100 mph
Hence, at least 93.75% of cars is traveling between 40 and 80 mph.
c) If a sample of 40 cars is selected at random, estimate the number of cars that are traveling between 40 and 80 mph.
Since we know from question a) that
at least 75% of cars is traveling between 40 and 80 mph.
Given a sample of 40 cars:
75% of 40 cars
= 75/100 × 40
= 30 cars.
The number of cars that are traveling between 40 and 80 mph is 30 cars.
Find f'(-2) if f(x) = x^4/5 - 7x.
f'(-2) = ?
(Simplify your answer. Type an integer or a fraction.)
Answer:
15.74
Step-by-step explanation:
[tex] {x}^{ \frac{4}{5} } - 7x[/tex]
Substitute - 2 for x.
[tex] { (- 2)}^{ \frac{4}{5} } - 7( - 2)[/tex]
[tex] \sqrt[ 5]{ { (- 2) }^{4} } - 7( - 2)[/tex]
[tex]1.74 + 14[/tex]
[tex]15.74[/tex]
(I rounded to the nearest hundredth).
The manager of a technology store wants to save $20,000 in 3 years to make a down payment on a condominium. How much (in dollars) does the manager need to invest at the beginning of each week into an account that earns 7.25% interest compounded weekly
Answer:
$16,104.35Step-by-step explanation:
the expression for compound interest is given as
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A=$20,000
P=?
r=7.25%=0.0725
n=52 weeks
t=3 year
[tex]20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\[/tex]
the manager need to invest $16,104.35
Point E is located at -1p on the number line, Point F is located at 9 on the number line.
What is the distance between Point E and Point F on the number line? Enter the answer in the box. PLS HELP MEEEE
Answer:
-1 p will be a ok answer please with
Which table of values does not represent a linear function
Answer: B.
I think that it is probably too late but it is table (B.)
Step-by-step explanation:
It is a proportional relationship becuase In table B. The y section goes up by .5 each time
Answer:
C does not represent a linear function.
Step-by-step explanation:
C is the only one that has a different rate of change. If you find the rate of change between the top two, the bottom two's rate of change will be different. For a function to be linear, it has to have a constant rate of change. C does not, therefore, C is the answer.
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Good luck with whatever you are doing! Have an amazing day!
2.) You need a carpet installed in your living room. You reach out to 2 different companies
for installation pricing. Lowes charges $ 2 a square foot and $60 to bring the
materials. Home Depot Charges $1.50 a square foot and $ 80 to bring the materials.
If your living room is 100 square feet, which company would you use?
Answer:
Home Depot
Step-by-step explanation:
Home Depot Has better charges because you have to multiply the question to see which one is lower.
What is 9,200 equal in hundreds
what is 2,606 + 7,025?
Answer:
2606 + 7025 = 9631
Pls mark me brainliest
Answer: 9631
2606
+7025
9631
Does anyone stan Twice??
Answer:
This is literally me.
Step-by-step explanation:
Ronald has a 10% solution of the fertilizer Super Grow. How much pure Super Grow should he add to the mixture to get 36 oz of a 12.5% concentration?
Answer:
1 oz
Step-by-step explanation:
Given that:
% solution of super grow fertilizer = 10%
To obtain mixture of 36oz of a 12.5% concentration
Let oz of pure supergrowth to be added = s
(Initial % * (36 - s) + s) / 36 = target concentration
(10% * (36 - s) + s) / 36 = 12.5%
(0.1(36 - s) + s) / 36 = 0.125
Cross multiply:
0.1(36 - s) + s =. 0.125 * 36
3.6 - 0.1s + s = 4.5
3.6 + 0.9s = 4.5
0.9s = 4.5 - 3.6
0.9s = 0.9
s =. 0.9/0.9
s = 1
Hence, 1 oz of pure supergrowth should be added to the 10% solution to get 36 oz of a 12.5% concentration.
How many groups of 5 are 35?
I need answer stat!
Answer:
Step-by-step explanation:
7
Answer:
There are 7 groups of 5 in 35.
PLZZZ HELP ME WITH THESE 4 QUESTIONS
THX SO MUCH!! ( 80 POINTSSSSS!!!!)
For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.
[tex]\sqrt[4]{a^{3} } = a^{\frac{3}{4} }[/tex]
Answer:
For section 3.01 black, number 1 is correct, but number 2 is wrong.
When you raise an exponent to an exponent, you multiply the 2 exponents.
(x^4)^5 is x^20.
Number 3 is also right.
For 3.02, you use the interest formula. (1 + i/100)^t times x
x is the amount of money you have originally. i is the interest rate, t is the time.
1,500(1.03)^5 = 1738.91111145
$1738.91
For section 3.01 red in fractional exponents the numerator are the powers and the denominator is the root.
Step-by-step explanation:
Which of the following is not equal to the rational number 7/4
Answer:
2
Step-by-step explanation:
There are 8 fluid ounces in one cup.
Write this as a unit rate.
Hint: use per, every, or each.
Answer:
8
Step-by-step explanation:
The figure is composed of a rectangular prism and a triangular prism. Find the volume of the figure.
14 in.
32 in.
14 in.
9 in.
The volume of the figure is
in?
Answer:
either 4032 or 56448
Step-by-step explanation:
you have to multiply length times height times width.
A large bag of cashews weighs 9 1/4 pounds. One serving is 1/5 pound. How many servings are in the bag.
Answer as a mixed number = 46 & 1/4
Answer as a decimal = 46.25
===============================================
Work Shown:
9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25
1/5 = 0.2
A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.
Let x be the number of servings
1 serving = 0.2 pounds
x servings = 0.2x pounds after multiplying both sides by x
0.2x pounds represents the total bag's weight so,
0.2x = 9.25
x = 9.25/0.2
x = 46.25 answer in decimal form
x = 46 + 0.25
x = 46 + 1/4
x = 46 & 1/4 answer in mixed number form
This means we have 46 full servings plus an additional 1/4 of a serving.
The humidity dropped an average of 1 1/3% each hour over the last six hours. What was the total change in humidity?
Answer:7 /13
Step-by-step explanation:
The quotient of q and 14 is less than 28
Answer:
q<392
Step-by-step explanation:
First, we turn words into an inequality. Then, we solve for q.
[tex]\frac{q}{14} <28\\q<28*14\\q<392[/tex]
It is also a good idea to check our answer, to make sure it is reasonable and we did not make a careless mistake.
[tex]3<392\\\frac{3}{14} <28[/tex]
The value satisfies the equation, so this should be correct.
To visit the top of the Empire State building , a ticket in 1999 cost four dollars , in 2019 the same ticket cost $32 ,what was the percentage change in the cost of the ticket ?
Answer:
700%
Step-by-step explanation:
The formula to find the percentage is found below =
[tex]\frac{changeinvalue}{absolutevalueoftheoriginalvalue} * 100[/tex]
So to find the change in value, we must subtract 32 from 4, which gets us -28.
We know the og value already, 4 dollars.
So do the division
[tex]\frac{-28}{4} =-7[/tex]
Now the multiplcation,
-7 * 100
-700
700%
what are the partial products of 9 x 813
Answer:
813
* 9. 9*800= 7200
9*10. =90
7200
90. 9*3. =27
27
7317
The partial product is 7317.
What is partial product?The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.)
Given:
9 x 813
Now, breaking the number according to their place value.
So, 813
=(800 + 10 +3)
Then the partial product will be written as
=9 * (800 + 10 +3)
=9* 800+ 9*10 + 9*3
=7200 + 90 + 27
= 7317
Hence, the partial product is 7317.
Learn more about partial product here:
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Archaeologists used pieces of burned wood, or charcoal, found at the site to date prehistoric paintings and drawings on walls and ceilings of a cave in Lascaux, France. Use the information in Example 3 of Section 3.1 to determine the appropriate age of a piece of burned wood, if it was found that 88% of the C-14 found in living trees of the same type had decayed. (Round your answer to the nearest hundred years.) years
Answer:
The age of the wood is [tex] t = 17527.5 \ years [/tex]
Step-by-step explanation:
From the question we are told that 88% of of the C-14 found in living trees of the same type had decayed , this means that the proportion of C-14 that is remaining is mathematically evaluated as
[tex] 1 - 0.88 = 0.12[/tex]
Hence
[tex] N = 0.12N_o[/tex]
Here N represents the remaining C-14 while [tex]N_o[/tex] is the original amount of C-14
Generally the half life of C-14 is [tex]h = 5730 \ years[/tex]
Generally from the formula of radioactive decay
[tex]N = N_o * 2^{-\frac{t}{h} }[/tex]
=> [tex]0.12N_o = N_o * 2^{-\frac{t}{5730} }[/tex]
=> [tex]0.12 = 2^{-\frac{t}{5730} }[/tex]
taking the natural log of both sides
=> [tex] ln [0.12] = ln[ 2^{-\frac{t}{5730} }][/tex]
=> [tex] ln [0.12] = -\frac{t}{5730}ln(2) [/tex]
=> [tex] t = 17527.5 \ years [/tex]
The appropriate age of burned wood will be "17527.5 years".
Radioactive decayAccording to the question,
The proportion of C-14 = 1 - 0.88
= 0.12
then,
N = 0.12 N₀
Now,
The half-life of C-14 will be:
h = 5730 years
By using Radioactive decay formula, we get
→ N = N₀ × [tex](2)^{-\frac{t}{h} }[/tex]
By substituting the values,
0.12N₀ = N₀ × [tex](2)^{-\frac{t}{5730} }[/tex]
0.12 = [tex]2^{-\frac{t}{5730} }[/tex]
By taking "log" both sides,
ln[0.12] = ln[[tex]2^{-\frac{t}{5730} }[/tex]]
ln[0.12] = -[tex]\frac{t}{5730 \ ln(2)}[/tex]
hence,
The age will be:
t = 17527.5 years
Thus the above response is correct.
Find out more information about radioactive decay here:
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