9514 1404 393
Answer:
10
Step-by-step explanation:
Put the values where the arguments are and do the arithmetic.
g(h(-2)) = g(-2+4) = g(2) = 5(2)
g(h(-2)) = 10
Method of Least Squares, Evaluation of Cost Equation Lassiter Company used the method of least squares to develop a cost equation to predict the cost of moving materials. There were 80 data points for the regression, and the following computer output was generated:
Intercept $17,350
Slope 12.00
Coefficient of correlation 0.92
Standard error $220
The activity driver used was the number of moves.
Required:
1. What is the cost formula?
2. Using the cost formula, predictthe costofmovingmaterialsif340movesaremade.Nowpreparea95 percent con?dence interval forth is prediction.(Round to the nearest dollar.)
3. What percentage of the variability in moving cost is explained by the number of moves? Do you think the equation will predict well? Why or why not?
Solution :
1). The cost of the formula is given as :
$ 19,350 + $12 x
2). 95% [tex]\text{confidence interval}[/tex] for the prediction is :
[tex]$21430 - 1.96 \times 220 < \text{Yf} < 21430+1.96 \times 220$[/tex]
[tex]$20998.8 < \text{Yf} < 21861.2$[/tex]
[tex]$20999 < \text{Yf} < 21861$[/tex] (rounding off)
3). r = 0.92
Therefore, [tex]$r^2 = 0.8464$[/tex]
That is 84.64 % of the variability in the moving cost is best explained by the number of moves.
Assume the population is bell-shaped. Between what two values will approximately 95% of the population be
Answer:The 95% Rule states that approximately 95% of observations fall within two ... about 95% will be within two standard deviations of the mean, and about 99.7% will be ... Suppose the pulse rates of 200 college men are bell-shaped with a mean of 72 ... 1.2 - Samples & Populations ... 3.5 - Relations between Multiple Variables.
Step-by-step explanation:
Which rule describes the transformation shown?
1. (x,y) → (-y, x+7)
2. (x,y) → (x+7,-y)
3. (x,y) → (-x, y+7)
4. (x,y) → (y+7, -x)
Answer:
2. (x,y) → (x+7,-y)
Step-by-step explanation:
Point A:
The original coordinate of point A was (-6,-6).
The coordinate after the transformation is A'(1,6), which eliminates option 3.
Point B:
The original coordinate of point B was (-2,4).
After the transformation, we have B'(5,-4), which eliminates option 1 and option 4. This means that the correct answer is:
2. (x,y) → (x+7,-y)
The diameter of one circle is represented by 12x. The diameter of another circle is represented by 6x2y what is the ratio of the radiu of the two circles. 2:x3y 2x:y x:2y 2:xy
9514 1404 393
Answer:
(d) 2 : xy
Step-by-step explanation:
A common factor of 6x can be removed from the elements of the ratio. The ratio of radii is the same as the ratio of diameters.
12x : 6x²y = (6x)(2) : (6x)(xy) = 2 : xy
Answer:D
Step-by-step explanation:
PLEASE HELP ASAP! So the answer I got for this problem is 50.26. Can someone make sure that is the correct answer? Please let me know how to solve this problem if it is wrong.
Answer:
Step-by-step explanation:
every thing looks good, except the question says "round" and soooooo, if you are rounding to the 2nd decimal place, then the next two decimal places are 54, or 50.2654 so, to round that, round up , so your final answer would look like 50.27 :) see?
9514 1404 393
Answer:
50.24 inches (or 50.2 inches)
Step-by-step explanation:
The formula for circumference in terms of radius is ...
C = 2πr
Using the given values for radius and for pi, the circumference is ...
C = 2(3.14)(8 in) = 50.24 in
__
Additional comment
If you use a more accurate value of pi, the rounded value is 50.27 in. That is not the value requested by this problem. It helps to follow directions.
If you like, you can round to 50.2, since only one decimal place is required in the result.
prime factorization of a 4- digit number with at least three distinct factors
Need two examples. SHOW ALL STEPS
Answer:
We know that every number can be written as a product of prime numbers.
The method to find the factorized form of a number depends on the number, we just try to find the different factors by dividing by them, for example for the number 1000 we have:
1000 is an even number, then we can divide it by 2 (2 is a prime number)
1000 = 2*500 (so we already found a prime factor)
500 is also an even number, so we can divide it by 2
1000 = 2*500 = 2*2*250 (we found another prime factor)
dividing by 2 again we get:
1000 = 2*2*250 = 2*2*2*125
1000 = (2*2*2)*125
now we just need to factorize 125
we know that 125 is a multiple of 5, such that:
125 = 5*25 = 5*5*5
(5 is a prime number, so it is completely factorized).
Then the factorization of 1000 is:
1000 = (2*2*2)*(5*5*5) = 2^3*5^3
Now with another example, 1422
1422 is an even number, so we again start using the factor 2:
1422 = 2 = 711
then:
1422 = 2*711
we already found a factor.
711 is a multiple of 3 (the sum of its digits is a multiple of 3), then:
711/3 = 237
We can write our number as:
1422 = 2*3*237
237 is also a multiple of 3
237/3 = 79
then:
1422 = 2*3*3*79
and 79 is a prime number, so we already have 1422 completely factorized.
After heating a fixed volume of gas at 50 psia from 300° R to 600°R, its pressure will be:
Answer:
100 psia
Step-by-step explanation:
Applying,
Pressure law,
P/T = P'/T'................. Equation 1
Where P = initial pressure, P' = Final pressure, T = initial temperature, P' = Final temperature.
make P' the subject of the equation
P' = PT'/T............ Equation 2
From the question,
Given: P = 50 psia, T = 300°R = (300×5/9)K = 166.66 K, T' = 600°R = (600×5/9)K = 333.33 K
Substitute these values into equation 2
P' = (50×333.33)/166.66
P' ≈ 100 psia
P ≈ 100 psia
A person participates in a weekly office pool in which he has one chance in ten of winning the prize. If he participates for 5 weeks in succession, what is the probability of winning at least one prize.
The probability of winning at least one prize is 0.40951.
What is probability?Probability is the likelihood that an event will occur.
The following information can be deduced:
P = probability of winning = 1/10
q = probability of not winning = 1- (1/10) = 9/10
x = no. of winning
then, p (x ≥ 1) = 1 - p (x < 1)
= 1 - p (x=0)
= 1 - ⁵C₀ (1/10)^⁰ (9/10)^(5-0)
= 1 - (1) (1) (9/10)^5
= 1 - (9/10)^5
= 1 - 0.59049
= 0.40951
Therefore, the probability is 0.40951.
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What is the solution to the system of equations below
Answer:
A
Step-by-step explanation:
1/2x-4=-2x-9...u vil get the ans
The time between surface finish problems in a galvanizing process is exponentially distributed with a mean of 41 hours. A single plant operates three galvanizing lines that are assumed to operate independently. Round your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that none of the lines experiences a surface finish problem in 41 hours of operation?
(b) What is the probability that all three lines experience a surface finish problem between 24 and 41 hours of operation?
Answer:
a) The probability that none of the lines experiences a surface finish problem in 41 hours of operation is 0.0498.
b)The probability that all three lines experience a surface finish problem between 24 and 41 hours of operation is 0.0346.
Step-by-step explanation:
[tex]Mean = \frac{1}{\lambda} = 41\\P(X\leq x)= 1-e^{-\lambda x}[/tex]
[tex]P(X>x)= e^{-\lambda x}[/tex]
a)
[tex]P(x> 41, y>41, Z>41) = (P(X>41))^{3}\\\\P(X>41)=e^{^{-\frac{41}{41}}}=e^{-1}[/tex]
[tex]P(x> 41, y>41, Z>41) = \left (e^{-1} \right )^{3}\\\\P(x> 41, y>41, Z>41) = e^{-3} = 0.0498.[/tex]
b)
[tex]\lambda =\frac{24}{41}\\P(X=1)=e^{-\lambda }\cdot \lambda =\left ( e^{-0.585} \right )\left ( 0.585 \right )\\P(X=1)=0.326[/tex]
For 3 where, P(X=1, Y==1, Z=1)
[tex]= (0.326)^{3} \\\\= 0.0346[/tex]
Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five less than half its width.
Complete the equation that can be used to determine the dimensions of the monitor in terms of its width, w.
Answer:
w= 103.5 inches
Step-by-step explanation:
384=w+3w-30
414=4w
w=414/4=103.5 inches
Answer:
first drop box 384
second drop box 3
third drop boc 30
384 = 3 [tex]w^{2}[/tex] – 30 w
Step-by-step explanation:
Correct answer on Plato/Edmentum test
2•^4= ?
A) 1/16
B) 1/8
C) 1
Answer:
1/16.
Step-by-step explanation:
2^-4 = 1/2^4
= 1/16.
A chemical company makes two brands of antifreeze the first brand contains 65% pure antifreeze and the second brand contains 80% pure antifreeze in order to obtain 60 gallons of a mixture that contains 70% pure antifreeze how many gallons of each brand of antifreeze must be used
Answer:
30 gallons of each brand
Step-by-step explanation:
1 gallon of 60% + 1 gallon of 80% = 2 gallons 70% (60/2 = 30)
First the store raised the price of a pot by 20%. Then they announced a 20% discount on the pot. Is the customer going to pay more or less for the pot now than before.
Answer:
less
Step-by-step explanation:
An increase of 20% makes the price 120% of the original price.
A discount of 20% makes the discounted price 80% of the previous price.
Original price: x
20% increase in price: 1.2 * x
20% discount over the raised price: 0.8 * 1.2 * x
Now we multiply the numbers in the last expression and compare the result with x.
0.8 * 1.2 * x = 0.96x
0.96 is less than x, so the customer pays less than the original price.
what is the distance in the image below?
The distance is:
5 + 3 = 8 units
Since the segment is completely horizontal we need not to use formula for computing the length of a segment in 2D euclidean space.
Instead we can simplify the problem to a single dimension, only considering the x-coordinates of the endpoints of the segment.
The x-coordinates are -5 and 3.
Subtracting and applying absolute value yields the answer,
[tex]\mathrm{abs}(-5-3)=\boxed{8}[/tex].
Hope this helps.
Simplify this plz thanks
Answer:
[tex]\frac{1}{g^{5nd+10v+20dv} }[/tex]
Step-by-step explanation:
A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature claimed that more than 47% do not fail in the first 1000 hours of their use. Is there sufficient evidence at the 0.05 level to support the company's claim
Answer:
The p-value of the test is 0.015 < 0.05, which means that there is sufficient evidence at the 0.05 level to support the company's claim.
Step-by-step explanation:
The company's promotional literature claimed that more than 47% do not fail in the first 1000 hours of their use.
At the null hypothesis, we test if the proportion is of 47% or less, that is:
[tex]H_0: p \leq 0.47[/tex]
At the alternative hypothesis, we test if the proportion is of more than 47%, that is:
[tex]H_1: p > 0.47[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.47 is tested at the null hypothesis:
This means that [tex]\mu = 0.47, \sigma = \sqrt{0.47*0.53}[/tex]
A sample of 1300 computer chips revealed that 50% of the chips do not fail in the first 1000 hours of their use.
This means that [tex]n = 1300, X = 0.5[/tex]
Value of the statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.5 - 0.47}{\frac{\sqrt{0.47*0.53}}{\sqrt{1300}}}[/tex]
[tex]z = 2.17[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.5, which is 1 subtracted by the p-value of z = 2.17.
Looking at the z-table, z = 2.17 has a p-value of 0.9850
1 - 0.985 = 0.015
The p-value of the test is 0.015 < 0.05, which means that there is sufficient evidence at the 0.05 level to support the company's claim.
Solve the portion
6/x = 18/27
Answer:
x=9 answer...Step-by-step explanation:
6/x=18/27162=18xx=162/18x=9hope it helps.stay safe healthy and happy..Answer:9
Step-by-step explanation: 18/6=3 so 27/3 should equal the answer. If u know ur multiplication, the answer would be 9
The measure of angle theta is 7x/6. The measure of its reference angle is _ °, and sin theta is _
Answer:
30° and -1/2. This is pretty easy to do on a piece of paper but I recommend googling "unit circle" and clicking images, it tells you everything you need to know.
Step-by-step explanation:
Which answers describe the shape below? Check all that apply.
A. Rectangle
B. Rhombus
C. Quadrilateral
D. Square
E. Parallelogram
F. Trapezoid
Answer:
E and C
Step-by-step explanation:
Imagine a couple who is ready to start a family. They plan to have exactly four children. Assuming no multiple births (twins, triplets, etc.), use the information provided in Pascal's triangle to determine how many different ways they may have exactly three boys and one girl (regardless of birth order).
Answer:
4 different ways
Step-by-step explanation:
Total number of children = 4
Distribution of the 4 children :
Number of boys = 3 ; Number of girls = 1
Boy = B ; Girl = G
Possible combinations :
BBBG ; GBBB ; BBGB ; BGBB
From the pascal triangle number of e; number of outcomes = 2
Having exactly 3 boys and 1 girl
Hence, of any of the 4 four total children, 3 must be boys and 1 girl ;
Create a quadratic equation in one variable of the form ax^2+bx+c=0 that meets the following criteria. A=1, b=0 , c=-100. 20 points.
Answer:
Equation is x^2-100=0
Step-by-step explanation:
I'm assuming everything is in standard form. Just plug in the values.
1(x)^2+(0)x+(-100)=0
0 times x is 0, so it simplifies to
x^2-100=0
the law which states that the ratio of the sine of an angle to the side opposite it is constant is the
Answer:
The law which states that the ratio of the sine of an angle to the side opposite it is constant is the Law of Sines.
Step-by-step explanation:
The Law of Sines states that in any given triangle, the ratio of the length of any side to the sine of its opposite angle is the same for all three sides of the triangle and has a constant value.
The law which states that the ratio of the sine of an angle to the side opposite it is constant is the Law of sine.
Here,
We have to find, the law which states that the ratio of the sine of an angle to the side opposite it is constant.
What is Law of sine?
If A, B, and C are the measurements of the angles of an oblique triangle, and a, b, and c are the lengths of the sides opposite of the corresponding angles, then the ratios of the a side's length to the sine of the angle opposite the side must all be the same.
Now,
The law which states that the ratio of the sine of an angle to the side opposite it is constant is known as Law of sine.
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Assuming the probability of a single sample testing positive is 0.15, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely necessary?
Answer:
[tex]P(Positive\ Mixture) = 0.2775[/tex]
The probability is not low
Step-by-step explanation:
Given
[tex]P(Single\ Positive) = 0.15[/tex]
[tex]n = 2[/tex]
Required
[tex]P(Positive\ Mixture)[/tex]
First, we calculate the probability of single negative using the complement rule
[tex]P(Single\ Negative) = 1 - P(Single\ Positive)[/tex]
[tex]P(Single\ Negative) = 1 - 0.15[/tex]
[tex]P(Single\ Negative) = 0.85[/tex]
[tex]P(Positive\ Mixture)[/tex] is calculated using:
[tex]P(Positive\ Mixture) = 1 - P(All\ Negative)[/tex] ---- i.e. complement rule
So, we have:
[tex]P(Positive\ Mixture) = 1 - 0.85^2[/tex]
[tex]P(Positive\ Mixture) = 1 - 0.7225[/tex]
[tex]P(Positive\ Mixture) = 0.2775[/tex]
Probabilities less than 0.05 are considered low.
So, we can consider that the probability is not low because 0.2775 > 0.05
Which of the following is an even function?
g(x) = (x – 1)2 + 1
g(x) = 2x2 + 1
g(x) = 4x + 2
g(x) = 2x
Consider that choice B is the same as saying 2x^2+1x^0.
The exponents 2 and 0 are both even, which is sufficient to say that the entire polynomial function itself is also even.
Something like choice A expands out and simplifies to x^2-2x+2, and that's equivalent to saying x^2+2x^1+2x^0. The presence of the x^1 term, with its odd exponent, is what makes choice A not even (it's not odd either).
Similarly, choices C and D also have exponents of 1, so they aren't even either.
Answer:
G(x)=2x2+1
Step-by-step explanation:
The following is a list of costs that were incurred in producing book:
a. Insurance on the factory building and equipment
b. Salary of the vice president of finance
c. Hourly wages of printing press operators during production
d. Electricity used to run the presses during the printing of the Book.
e. Sales commissions paid to book representatives for each book sold
f. Paper on which the text is printed
g. Book covers used to bind the pages
h. Straight-line depreciation on an office building
i. Salaries of staff used to develop artwork for the text
j. Glue used to bind pages to cover
Instructions: With respect to the manufacture and sale of this text, classify each cost as either a product cost or a
period cost. Indicate whether each product cost is a direct materials cost, a direct labor cost, or a factory overhead
cost. Indicate whether each period cost is a selling expense or an administrative expense.
Please select the best answer from the choices provided
A
B
C
D
Answer:
C
Step-by-step explanation:
Answer: B
Step-by-step explanation:
what is completely factored form or this expression?
y^2-12y+32
a.(y+4)(y+8)
b.(y-4)(y-8)
c.(y+18)(y+2)
d.(y-18)(y-2)
[tex]\\\\\\[/tex]
Therefore [tex]\sf{option~ B~ is ~correct }[/tex][tex]\sf{ }[/tex] [tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Answer:
(y-4) (y-8)
Step-by-step explanation:
y^2-12y+32
What two numbers multiply to 32 and add to -12
-8*-4 = 32
-8+-4 = -12
(y-4) (y-8)
An employment agency specializing in temporary construction help pays heavy equipment operators $123 per day and general laborers $89 per day. If thirty-one people were hired and the payroll was $3507, how many heavy equipment
operators were employed? How many laborers?
The number of heavy equipment operators hired was
The number of general laborers hired was
Answer:
The number of operators is 22 and the number of laborers is 9
Step-by-step explanation:
This is a 2 line equation system
I'll call the laborers "L" and the equipment operators "E"
The first line of the system is pretty much telling me that the number of laborers plus the number of operators is 31:
L + E = 31
Now we need to calculate the money:
Since we know that laborers are paid $89 per day we're gonna multiply them by that. Same thing with the operator, but the value is now $123
89L + 123E = 3507
Our two line system is like this:
L + E = 31
89L + 123E = 3507
We need either L or E to be the same in both of the equations so that when I subtract one from another I can find the value of one of the variables
I'll choose L cause it's the lower number, so I'll multiply the upper equation:
L+E=31 === *89 ====> 89L + 89E = 2.759
Now we have these equations:
89L + 89E = 2.759
89L + 123E = 3507
Now I'm gonna subtract the lower equation from the upper one:
89L - 89L + 123E - 89E = 3507 - 2759
Since L is now zero it disappears, and by making the other calculations we have:
34E = 748
E = 22
Since E = 22, we can use the value in our first equation:
E+L=31 ===> 22+L=31 ===> L=9
Got it! The number of operators is 22 and the number of laborers is 9.
If you wanna double check this you can calculate the amount of money they're paid, which should add up to $3507:
22 operators * $123 = $2706
9 laborers * $89 = $801
2706+801 = $3507
We're good
If this helped you at all, would it be too much asking for brainliest?
I would really appreciate it
Have a great one
What is the y-intercept of y = 3x-
2?
Answer:
-2
Step-by-step explanation:
y = mx + b
y = 3x - 2
y-intercept = b
