Answer:
The full production costs are:
ABC = $22,900,000
PQR = $1,700,000
Step-by-step explanation:
Traditional costing method is a costing method that allocates or applies overhead based on a particular metric determined by a company. It therefore add both direct cost of production and production overheads absorbed to obtain the full cost of production.
Since production overheads in this question is absorbed on demand sales basis, the full production costs for ABC and PQR can be computed as follows:
ANZ Corporation
Computation of Full Production Costs
Particulars ABC PQR
Sales demand 30,000 15,000
Cost $ $
Direct cost:
Direct materials cost (w.1) 1,350,000 900,000
Direct labor cost (w.2) 900,000 600,000
Total direct cost 22,500,000 1,500,000
Indirect cost:
Production overhead (w.3) 400,000 200,000
Full production cost 22,900,000 1,700,000
Workings:
w.1: Computation of direct material cost
Direct material cost = Direct material cost per unit * Sales demand
Therefore;
ABC Direct material cost = $45 * 30,000 = $1,350,000
PQR Direct material cost = $60 * 15,000 = $900,000
w.2: Computation of direct labor cost
Direct labor cost = Direct labor cost per unit * Sales demand
Therefore;
ABC Direct material cost = $30 * 30,000 = $900,000
PQR Direct material cost = $40 * 15,000 = $600,000
w.3: Allocation of production overhead
Production overheads allocated to a model = Production overheads * (Model's Sales Demand / Total Sales demand)
Total Sales demand = 30,000 + 15,000 = 45,000
Therefore, we have:
Production overhead allocated to ABC = $600,000 * (30,000 / 45,000) = $400,000
Production overhead allocated to PQR = $600,000 * (15,000 / 45,000) = $200,000
Enter the correct answer in the box by replacing the values of a and b. f(x) = a(b)^x
Answer:
f(x)= 8(0.5)^x
Step-by-step explanation:
As you can see on the graph there are two specific points labeled:
(0,8) and (1,4)
The 8 would be the initial value and starting point of the "design"
A is always the initial value so replace that.
Then proceed to divide 4 by 8 to figure out the percentage change its 0.5
leave x as it is
Simplify the expression.
Write your answer without negative exponents. NEED AN ANSWER ASAP
Answer:
[tex]\boxed{\frac{-3b^4 }{a^6 }}[/tex]
Step-by-step explanation:
[tex]\frac{-18a^{-8}b^{-3}}{6a^{-2}b^{-7}}[/tex]
[tex]\frac{-18}{6} \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}[/tex]
[tex]-3 \times \frac{a^{-8}}{a^{-2}} \times \frac{b^{-3}}{b^{-7}}[/tex]
Apply the law of exponents, when dividing exponents with same base, we subtract the exponents.
[tex]-3 \times a^{-8-(-2)} \times b^{-3- (-7)}[/tex]
[tex]-3 \times a^{-8+2} \times b^{-3+7}[/tex]
[tex]-3 \times a^{-6} \times b^{4}[/tex]
[tex]{-3a^{-6}b^{4}}[/tex]
The answer should be without negative exponents.
[tex]a^{-6}=\frac{1}{a^6 }[/tex]
[tex]\frac{-3b^4 }{a^6 }[/tex]
Answer:
[tex] - \frac{3 {b}^{4} }{ {a}^{6} } [/tex]Step-by-step explanation:
[tex] \frac{ - 18 {a}^{ - 8} {b}^{ - 3} }{6 {a}^{ - 2} {b}^{ - 7} } [/tex]
Reduce the fraction with 6
[tex] \frac{ - 3 {a}^{ - 8} {b}^{ - 3} }{ {a}^{ - 2} {b}^{ - 7} } [/tex]
Simplify the expression
[tex] \frac{ - 3 {b}^{4} }{ {a}^{6} } [/tex]
Use [tex] \frac{ - a}{b} = \frac{a}{ - b} = - \frac{a}{b \: } [/tex] to rewrite the fraction
[tex] - \frac{3 {b}^{4} }{ {a}^{6} } [/tex]
Hope this helps...
Best regards!!
If ABC=DEC B=48 and E=C+4
x=?
Answer:44
Step-by-step explanation:the two triangles are congruent , so we deduce from that the angle B=angle E =48
So, x+4=48 , x=44 degree
Solve the given systems of equations:
x-y+z=1
-3x+2y+z=1
2x-3y+4z=3
Answer:
x = 3/2
y = 2
z = 3/2
Step-by-step explanation:
There are multiple methods to solve these. Message me for the method you need to see step by step.
What is the value of y iin this equation? 4(y-3) =48
Answer:
y = 15Step-by-step explanation:
Question:
4(y - 3) = 48
1. Distribute
4y - 12 = 48
2. Simplify Like terms
4y - 12 = 48
+ 12 + 12
4y = 60
3. Solve
4y = 60
/4 /4
y = 15
4. Check:
4(y - 3) = 48
4((15) - 3) = 48
4(12) = 48
48 = 48 Correct!
Hope this helped,
Kavitha
Answer:
[tex]y=15\\[/tex]
Step 1:
To find y, we first have to multiply [tex]4(y-3)[/tex]. When we do that (4 * y, 4 * - 3), we get [tex]4y-12[/tex].
Step 2:
Our equation looks like this now:
[tex]4y-12=48[/tex]
To solve this equation, we have to add 12 on both sides so we can cancel out the -12 on the left side of the equation.
[tex]4y-12(+12)=48(+12)[/tex]
[tex]4y=60[/tex]
Now, we can divide 4 on both sides to get y by itself.
[tex]4y/4\\60/4[/tex]
[tex]y=15[/tex]
How do I find the 5th term of a sequence defined by the given rule? f(n)= 6.5n + 4.5 Can someone also explain the rule(s)? I'm having trouble understanding all of this
Answer:
30.5
Step-by-step explanation:
This sequence is defined by f(n)=6.5 + 4.5
The term inside the parentheses (n) is the value you should input to get an output.
n varies from 0 to infinity
Now to find the fifth term put in mind that 0 is the first term.
This means that f(5) isn't the fifth term. In fact, it's the sixth term. So f(4) is the fifth term.
To find f(4) replace n by 4.
f(4) = 6.5 *4 +4.5 = 26+4.5=30.5
HELLPPPPPPPPPPPPP Solve x2 - 16x + 60 = -12 by completing the steps. First, subtract 60 from each side of the equation. Next, add 64 to each side of the equation to complete the square. Now, write x² - 16x + 64 = -8 as ✔ (x - 8)² = -8
Answer:
x = 8 ± 2i[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ± [tex]\sqrt{-8}[/tex] = ± 2i[tex]\sqrt{2}[/tex] ( add 8 to both sides )
x = 8 ± 2i[tex]\sqrt{2}[/tex]
The solution of the given expression is ±2√2i+8
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that
x² - 16x + 60 = - 12
Then subtract 60 from both sides;
x² - 16x = - 72
To complete the square then add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64,
(x - 8)² = - 8 ( take the square root of both sides )
x = ±2√2i+8
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A square matrix N is called nilpotent if there exists some positive integer k such that Nk = 0. Prove that if N is a nilpotent matrix, then the system Nx = 0 has nontrivial solutions.
Answer:
Nx = λx
Nx = 0, with x≠0
if N is nilpotent matrix, then the system Nx = 0 has non-trivial solutions
Step-by-step explanation:
given that
let N be a square matrix in order of n
note: N is nilpotent matrix with [tex]N^{k} = 0[/tex], k ∈ N
let λ be eigenvalue of N and let x be eigenvector corresponding to eigenvalue λ
Nx = λx (x≠0)
N²x = λNx = λ²x
∴[tex]N^{k}x[/tex] = (λ^k)x
[tex]N^{k}[/tex] = 0, (λ^k)x = [tex]0_{n}[/tex], where n is dimensional vector
where x = 0, (λ^k) = 0
λ = 0
therefore, Nx = λx
Nx = 0, with x≠0
note: if N is nilpotent matrix, then the system Nx = 0 has non-trivial solution
Gamal spent $12.50 at the book store. The difference between the amount he spent at the video game store and the amount he spent at the book store was $17. The equation d minus 12.50 = 17 can be used to represent this situation, where d is the amount Gamal spent at the video game store. Which equation is an equivalent equation that can be used to find the amount Gamal spent at the video game store?
Answer:
d - 12.50 = 17
add 12.50 to both sides to get d alone.
d = 12.50 + 17
Answer:
It's B d= 17 + 12.50
Step-by-step explanation:
Got it right on edg
Identify the reference angle ∅ for each given angle, 0.
Answer:
When Ø = 300°, Ø = 60 degrees.
When Ø = 225°, Ø = 45 degrees.
When Ø = 480°, Ø = 60 degrees.
When Ø = -210°, Ø = 30 degrees.
Step-by-step explanation:
Reference angles are in Quadrant I (0° to 90°).
1. Find 300° (Quadrant IV) on the unit circle. Since it's in Quadrant IV, you use 360 - 300 = 60° to get your answer.
2. Find 225° (Quadrant III) on the unit circle. Since it's in Quadrant III, you use 225 - 180 = 45° to get your answer.
3. The angle 480° is not on the unit circle. To find its corresponding angle between 0° and 360°, use 480 - 360 = 120°. Then, find 120° (Quadrant II) on the unit circle. Since it's in Quadrant II, you use 180 - 120 = 60° to get your answer.
4. The angle -210° is not on the unit circle. To find its corresponding angle between 0° and 360°, use -210 + 360 = 150°. Then, find 150° (Quadrant II) on the unit circle. Since it's in Quadrant II, you use 180 - 150 = 30° to get your answer.
What is the solution to the equation -0.2(x - 20) = 44 - x? x = -90 x = 50 x = -50 x = 90
Answer:
x= 50
Step-by-step explanation:
First, simplify the equation
Expand the terms on the left hand side to make it easier to rearrange
-0.2(x-20) =44-x
-0.2x+4 =44-x
Rearrange the equation by moving the numbers to one side and the variables to the other
-0.2x +x= 44-4
0.8x = 40
Isolate for x
x= 40/0.8
x= 50
Of 118 randomly selected adults, 34 were found to have high blood pressure. Construct a 95% confidence interval for the true percentage of all adults that have high blood pressure. Construct a confidence interval for the population proportion p.
Answer:
The confidence interval is [tex]0.20644 < p <0.36984[/tex]
Step-by-step explanation:
From the question we are told that
The sample is n = 118
The confidence level is C = 95 %
The number of people with high blood pressure is k = 34
The proportion of those with high blood pressure is evaluated as
[tex]\r p = \frac{k}{n}[/tex]
substituting values
[tex]\r p = \frac{34}{118}[/tex]
[tex]\r p = 0.288136[/tex]
Given that the confidence level is 95% then the level of significance is evaluated as
[tex]\alpha = 100 -95[/tex]
[tex]\alpha = 5[/tex]%
[tex]\alpha = 0.05[/tex]
Now the critical values of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
The reason we are obtaining values for is because is the area under the normal distribution curve for both the left and right tail where the 95% interval did not cover while is the area under the normal distribution curve for just one tail and we need the value for one tail in order to calculate the confidence interval
Now the margin of error is evaluated as
[tex]MOE = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p)}{n} }[/tex]
substituting values
[tex]MOE = 1.96 * \sqrt{\frac{ 0.288136 (1- 0.288136)}{118} }[/tex]
[tex]MOE = 0.0817[/tex]
Thus the 95% confidence interval for the true percentage of all adults that have high blood pressure is evaluated as
[tex]\r p - MOE < p < \r p + MOE[/tex]
substituting values
[tex]0.288136 - 0.0817 < p <0.288136 + 0.0817[/tex]
[tex]0.20644 < p <0.36984[/tex]
What is an example of force causing a change in the size of the body (P.S. what is the difference between shape and size?)
Answer:
shape is how it looks like Square is a shape and size is how big something in like my size of my foot is 6 inches
Step-by-step explanation:
well idk your real question i think it is that your shape and size can change
Which of the following situations describes a continuous distribution? A probability distribution showing the number of vaccines given to babies during their first year of life A probability distribution showing the average number of days mothers spent in the hospital A probability distribution showing the weights of newborns A probability distribution showing the amount of births in a hospital in a month
Answer:
Continous distributions:
- A probability distribution showing the average number of days mothers spent in the hospital.
- A probability distribution showing the weights of newborns.
Step-by-step explanation:
A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).
A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.
A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.
A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.
The option that describes a continuous distribution include:
A probability distribution showing the average number of days mothers spent in the hospital.A probability distribution showing the weights of newborns.A continuous distribution simply means the probabilities of the values of a continuous random variable.
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Find the Slope of the line
-4
1
1/4
4
Answer:
Hey there!
The slope is rise over run, or 1/-4.
This gives us the slope, which is -1/4.
Hope this helps :)
Answer:
1/4
Step-by-step explanation:
( i mean i think it is - 1/4 but that isn't an answer choice- )
Slope (m) =
ΔY overΔX= -1 over 4 = -0.25
subtract x^1 and x^2 also y^1 and y^2
and put the answer of y' s over the answer of x 's
divide and you got your answer!
Add the following polynomials, then place the answer in the proper location on the grid.
2x3 - 4x2 + 6x - 3
29 +6x2 - 8x + 12
- 3x3 + 2x2 - 4x - 7
Help ????????
Answer:
[tex] x^3 - 6x + 2 [/tex]
Step-by-step explanation:
The given polynomials can be added together by adding like terms together as shown below:
=> Add together, the coefficient of all terms that have the power of 3.
[tex] (2x^3) + (x^3) + (-3x^3) [/tex]
[tex] 2x^3 + x^3 - 3x^3 [/tex]
[tex] 3x^3 - 3x^3 [/tex]
[tex] x^3 [/tex]
=> [tex] (-4x^2) + (6x^2) + (2x^2) [/tex]
[tex] -4x^2 + 8x^2 [/tex]
[tex] 4x^2 [/tex]
=> [tex] (6x) + (-8x) + (-4x) [/tex]
[tex] 6x - 8x - 4x [/tex]
[tex] -6x [/tex]
=> [tex] (-3) + (12) +(-7) [/tex]
[tex] -3 + 12 - 7 [/tex]
[tex] 2 [/tex]
The answer = [tex] x^3 - 6x + 2 [/tex]
Answer:
4x^2-6x+2
Step-by-step explanation:
When a fish is selected at random from a tank, the probability that it has a green tail is 0.54, the probability that it has red fins is 0.18, and the probability that it has both a green tail and red fins is 0.02. What is the probability that the selected fish will not have a red fin or a green tail? A) 28% B) 70% C) 2% D) 30%
Answer:
the answer is C
Step-by-step explanation:
hope this helps
The probability that the selected fish will not have a red fin or a green tail is 0.30.
To find the probability.
What is probability?probability is the ratio of the number of favorable outcomes and the total number of possible outcomes.
Given that:
G=fish has green tail
R=fish has red fin
G^R = fish has both a red fin and a green tail
P(G)=.54
P(R) = .18
P(G^R) = .02
P(GvR) = P(G) + P(R) - P(G^R) = .54 + .18 - .02 =
P(GvR) =.72 - .02 = .7
P(neither G nor R) = 1-.7 = .3 = 30%
So, the probability that the selected fish will not have a red fin or a green tail is 0.30.
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The length of time, in hours, it takes a group of people, 40 years and older, to play one soccer match is normally distributed with a mean of 2 hours and a standard deviation of 0.5 hours. A sample of size 50 is drawn randomly from the population. Find the probability that the sample mean is less than 2.3 hours. g
Answer:
[tex]P(\overline X < 2.3) = 0.9999[/tex]
Step-by-step explanation:
Given that:
mean = 2
standard deviation = 0.5
sample size = 50
The probability that the sample mean is less than 2.3 hours is :
[tex]P(\overline X < 2.3) = P(Z \leq \dfrac{\overline x - \mu}{\dfrac{\sigma}{\sqrt{n}}})[/tex]
[tex]P(\overline X < 2.3) = P(Z \leq \dfrac{2.3 - 2.0}{\dfrac{0.5}{\sqrt{50}}})[/tex]
[tex]P(\overline X < 2.3) = P(Z \leq \dfrac{0.3}{0.07071})[/tex]
[tex]P(\overline X < 2.3) = P(Z \leq 4.24268)[/tex]
[tex]P(\overline X < 2.3) = P(Z \leq 4.24)[/tex]
From z tables;
[tex]P(\overline X < 2.3) = 0.9999[/tex]
Franklin the fly starts at the point $(0,0)$ in the coordinate plane. At each point, Franklin takes a step to the right, left, up, or down. After $10$ steps, how many different points could Franklin end up at?
Answer: Franklin could end at 4 different points.
Step-by-step explanation:
Given: Franklin the fly starts at the point (0,0) in the coordinate plane.
At each point, Franklin takes a step to the right, left, up, or down.
i.e. there are 4 choices of directions [A coordinate plan has 4 quadrants]
If he moves 10 steps, then the number of different points Franklin could end up at = choices of directions
= 4
Hence, Franklin could end at 4 different points.
what's the thickness of a rectangle prism with a height of 12 inches, a width of 8 inches and surface area 992 square inches?
Answer:
Thickness of rectangle prism is 20 inches.
Step-by-step explanation:
Given:
Surface area of rectangular prism, A = 992 sq inches.
Height, h = 12 inches
Width, w = 8 inches
To find:
Thickness / length of prism, [tex]l[/tex] = ?
Solution:
First of all, let us learn the formula for surface area of a rectangular prism.
Formula for surface area of a prism is given as:
[tex]A=2(wl+hl+hw)[/tex]
As there are 6 faces, each face is a rectangle and area of all the faces is considered in the formula. It is just like a cuboid like structure.
Putting all the given values in the formula to find the value of [tex]l[/tex]:
[tex]992=2(8l+12l+8 \times 12)\\\Rightarrow 496 = 20l + 96\\\Rightarrow 20 l =496-96\\\Rightarrow 20 l =400\\\Rightarrow l = \dfrac{400}{20}\\\Rightarrow l = 20\ inches[/tex]
So, the answer is Thickness of rectangle prism is 20 inches.
At what point does the line
Y = -1/2 X + 2 intercept the Y-axis?
A. - 1
B. -1/2
C. 1
D. 2
E. -2
Answer:
D. 2
Step-by-step explanation:
The y-intercept is when the graph crosses the y-axis when x = 0. In that case, simply plug in x as 0:
y = -1/2(0) + 2
y = 2
Therefore, the graph crosses the y-axis at 2.
Answer:
D
Step-by-step explanation:
our equation is y= [tex]\frac{-1}{2}[/tex] x +2
-1/2 is the slope 2 is the y-interceptso the answer is 2
if we want to verify our answer we can follow these steps
the y-intercept is given by calculating the image of 0
y= -1/2*0+2 = 2so it's right
Over the last three evenings, Melissa received a total of 126 phone calls at the call center. The first evening, she received 6 more calls than the third evening. The second evening, she received 4 times as many calls as the third evening. How many phone calls did she receive each evening? Number of phone calls the first evening: Number of phone calls the second evening: Number of phone calls the third evening:
Answer:
calls first evening = 26
calls second evening = 80
calls third evening = 20
Step-by-step explanation:
Let x = calls third evening
x+6 = calls first evening
4x = calls second evening
x+6 + 4x + x = total calls = 126
Combine like terms
6x+6 = 126
Subtract 6 from each side
6x =120
Divide by 6
6x/6 =120/6
x = 20
x+6 = calls first evening = 20+6 = 26
4x = calls second evening = 4*20 = 80
Let x = calls third evening = 20
Please help!! Which inequality is graphed on the coordinate plane?
Answer:
The correct answer that corresponds with that graph is B: y ≤-3x+2.
Step-by-step explanation:
1) First we need to figure out what kind of symbol the line is, greater or less than equations (< , >) then the line are dotted,and if its greater than or equal to or less than or equal to equations ( ≤, ≥) since the line are solid.
2) Now we need to figure out which side should be shaded, if the symbol is a less than or a less than or equal to then the shaded side should be on the left, if the symbol is a greater than or a greater than or equal then the shaded side should be on the right.
In this case we have a solid line and a shaded left side which mean the symbol that been used here is a less than or equal to symbol ( ≤ ).
So our answer is B: y ≤-3x+2.
Remember:
- greater or less than equations (< , >) = dotted line
- greater than or equal to or less than or equal to equations ( ≤, ≥) = solid line
- less than or a less than or equal to = shaded left side
- greater than or greater than or equal to = shaded right side
Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is found that 4% of the legitimate users originate calls from two or more metropolitan areas in a single day. However, 30% of fraudulent users originate calls from two or more metropolitan areas in a single day. The proportion of fraudulent users is 0.0130%. If the same user originates calls from two or more metropolitan areas in a single day, what is the probability that the user is fraudulent
Answer:
0.0009741
Step-by-step explanation:
The approach to solve this question is by the use of Baye’s theorem in conditional probability
Please check attachment for complete solution and explanation
Answer:
0.000974
Step-by-step explanation:
Let assume that;
P(Q) is the probability that the same user originated calls from two or more metropolitan areas in a single day
Also; Let consider M to be the event that denotes the legitimate users and N to be the event that denote the fraudulent users .
Then;
P(M) = 0.00013
P(N) = 1 - P(M)
P(N) = 1 - 0.00013
P(N) = 0.99987
P(Q|M) = 0.3
P(Q|N) = 0.4
The probability the same users originates calls from two or more metropolitan areas in a single day is calculated as follows:
P(Q) = (P(M) P(Q|M) ) + ( P(N) P(Q|N) )
P(Q) = ( 0.00013 × 0.3 ) + (0.99987 × 0.04 )
P(Q) = 0.000039 + 0.0399948
P(Q) = 0.0400338
However; The probability that the users is fraudulent given that the same users originates calls from two or more metropolitan areas in a single day is,
[tex]P(M|Q) = \dfrac{P(M) P(Q|M)}{(P(M) \ P(Q|M) ) + ((P(N) \ P(Q|N)) } \\ \\ \\ P(M|Q) = \dfrac{0.0001 \times 0.3}{0.0400338} \\ \\ \\ P(M|Q) = \dfrac{0.000039}{0.0400338} \\ \\ \\ \mathbf{P(M|Q) = 0.000974}[/tex]
HELP ASAP ILL GIVE BRAINLIEST !!! The social studies teacher wants to know whether students in the entire school but for a model of the United Nations activity or student government activity the teacher just a random sample from the following groups all teachers in the school I’ll boys in each grade or students in each grade I’ll send some social studies club which group best represents the population he should take a random sample from to get the best results for his survey
Answer:
Hello There. ☆~---_●₩●__---☆~ The students in each grade, that way it wont focus just on one group like the club, the teachers, or the boys.
Hope It Helps!~ ♡
ItsNobody~ ☆
What is the slope of the line described by the equation below?
y - 5 = -3(x - 17)
O A. -5
OB. 5
O c. -3
D. 3
Answer:
C) -3
Step-by-step explanation:
We are given the following equation:
[tex]y-5=-3(x-17)[/tex]
And we want to determine its slope.
Note that this is in point-slope form. Recall that in point-slope form, we have:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is an ordered pair.
From the equation, we can see that the value in front of the parentheses will be the slope of the line.
The value in front of the parentheses of our given equation is -3.
In conclusion, the slope of the line described by the equation is -3.
Hence, our answer is C.
The world's largest university (by enrollment) is University A, followed by University B. If the enrollment in University A is 3.5 million more students than University B and their combined enrollment is 9.5 million students, find the enrollment for each university?
A recent study found that toddlers who have a diet high in processed foods may have a slightly lower IQ later in life. The conclusion came from a long-term investigation of 14,000 people whose health was monitored at 3,4,7, and 8 years of age.
a) One analysis found that of the 4000 children for which there were complete data, there was a significant difference in IQ between those who had had "processed" (i.e., junk) food and those who followed health-conscious diets in early childhood. Is this an experiment? Why or why not?
b) Discuss at least two explanatory factors that could conceivably confound the relationship between diet and IQ.
Answer:
A) it is not an experiment it is an observational study/analysis
B) i)Foods high in fats and sugar affects IQ (ii)Foods that contain the required classes of food affects IQ positively
Step-by-step explanation:
A) An analysis carried out on 400 children using the data derived from the long term investigation can not be said to be an experiment but an observational analysis this is because the complete data has been provided already from the long term investigation already. hence it can only be observed
B ) i) foods high in fats and sugar affects The IQ of children later in life as seen from the results of the observational study that children whom had processed foods had a significant negative difference in IQ when compared with children who had health-conscious diets
ii) following health conscious diets early in childhood will have a positive effect on one's IQ later in life .
A tower is 40 ft tall and 20 ft wide. A model of the tower is 5 in. tall. Identify the width of the model in inches.
Answer:
The width of the model will be 2.5 inches
Step-by-step explanation:
The tower was scaled down by a factor to a smaller size in the model. We are to, first of all, determine this factor and then use it to scale down the width of the model.
Step One: Determine the scale factor from the tower height.
The scale factor is obtained from the formula:
Scale factor = model size / observed size
This will be
Height of model tower/ height of the real tower.
The height of the model tower is 5 inches which is the same as 0.416667 ft
Scale factor = 0.416667 ft/ 40ft = 0.0104
Step two: Multiply the width of the real-life tower by the scale factor to get the model width.
Width of model =20ft X 0.0104 = 0.208ft
Step three: Convert your answer back to inches.
We will now have to convert 0.208 ft back to inches by multiplying by 12
This will be 0.208 X 12 =2.5 inches.
The width of the model will be 2.5 inches
Let A = 2, B = 3, C = 9, and D = 15.
Find the value of each expression listed below. -2 -14 10 2 -6 -10 14 6
-A + C - (D ÷ B)----------------------> (answer)
B × (-C) - (-D) + A----------------------> (answer)
(C + D) ÷ B + A----------------------> (answer)
D ÷ B + A - C----------------------> (answer)
Step-by-step explanation:
Put A = 2, B = 3, C = 9 and D = 15 to the given expressions.
Use PEMDAS.
-A + C - (D : B)
-2 + 9 - (15 : 3) = -2 + 9 - 5 = 7 - 5 = 2
B × (-C) - (-D) + A
3 × (-9) - (-15) + 2 = -27 + 15 + 2 = -12 + 2 = -10
(C + D) : B + A
(9 + 15) : 3 + 2 = 24 : 3 + 2 = 8 + 2 = 10
D : B + A - C
15 : 3 + 2 - 9 = 5 + 2 - 9 = 7 - 9 = -2
