Answer:
(2x + 5)(3x - 7), (x + 4)(x - 2)
Step-by-step explanation:
a = 6, b = 1, c = -35
? × ? = ac = 6 × -35 = - (2 × 3 × 7 × 5)
? + ? = b = 1
3 × 5 -(negative sign from above) 2 × 7 = 15 - 14 = 1 = b
[tex]\frac{1}{6}(6x + 15)(6x + (-14))[/tex]
= [tex]\frac{1}{6}(3)(2x + 5)(2)(3x - 7)[/tex]
= [tex](2x + 5)(3x - 7)[/tex]
a = 1, b = 2, c = -8
? × ? = ac = 1 × -8 = -(2 × 2 × 2) = 4 × -2
? + ? = b = 2
4 + (-2) = 2 = b
[tex]\frac{1}{1}(1x + 4)(1x + (-2))[/tex]
= [tex](x + 4)(x - 2)[/tex]
A "Cobb-Douglas" production function relates production (Q) to factors of production, capital (K), labor (L), raw materials (M), and an error term u using the equation ,
Q= λK^β1L^β2M^βe^μ
where λ,β1,β2 and β2 and are production parameters. Suppose that you have data on production and the factors of production from a random sample of firms with the same Cobb-Douglas production function. Which of the following regression functions provides the most useful transformation to estimate the model?
a. A linear regression function.
b. A logarithmic regression function.
c. An exponential regression function.
d. A quadratic regression function.
Answer:
The correct option is b. A logarithmic regression function.
Step-by-step explanation:
Given:
Q= λK^β1L^β2M^β3e^μ ………………………. (1)
Equation (1) can be transformed into a logarithmic regression function by taking natural log of both sides as follows:
lnQi = lnλ + β1lnKi + β2lnLi + β3lnMi + μInei ……………….. (2)
Where i = 0, 1, 2….n observations.
Let lnλ = β0 and let μIne = εi and then substituting them into equation (2), we have:
lnQi = β0 + β1lnKi + β2lnLi + β3lnMi + εi ......................(3)
Equation (3) is the logarithmic regression function to estimate the model.
Therefore, the correct option is b. A logarithmic regression function.
What is the length of AC?
6,791,240 6,781,204 which one are greater
Answer:
6,791,240>6,781,204
Step-by-step explanation:
Solve the proportion then around your answer to the nearest hundredth
Answer:
[tex] \frac{6.3}{x} = \frac{2.56}{9.3} \\ x = \frac{6.3 \times 9.3}{2.56} \\ x = 22.89[/tex]
Answer:
x = 22.89
Step-by-step explanation:
6.3 / x = 2.56 / 9.3
Cross multiply
58.59 = 2.56x
Divide both sides by 2.56
22.88671875 = x
Round
x = 22.89
A film on TV starts at 8:30 pm. If the film takes 136 minutes, at
what time does it end?
Answer:
10:46
Step-by-step explanation:
8:30 + 136 min.
= 8:30 + 2:16
= 10:46
the position vectors of points A and B of a line AB are (1 2) and (5 8) respectively . find the position vector of mid poind M of AB.
Answer:
(3,5)
Step-by-step explanation:
Mid-point = (1i+2j+5i+8j)/2
=(6i+10j)/2
=3i+5j
=(3 5)
Find the distance from A(-8,-3,-2) and B(-4,8,0) , find ||AB||
Answer:
[tex]||AB|| = 11.8743[/tex]
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
Distance from A(-8,-3,-2) and B(-4,8,0)
[tex]||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}[/tex]
[tex]||AB|| = \sqrt{4^2 + 11^2 + 2^2}[/tex]
[tex]||AB|| = 11.8743[/tex]
P and q are points on the line 2y-5x=10
Answer:
[tex]2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)[/tex]
Given lim f(x) = 4. What is lim
X-0
X-0
x5 [F(x)]* ?
оо
O 4
O 64
128
Answer:
64
Step-by-step explanation:
We are given the limit of f(x) as x approaches 0 is 4.
We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.
Let's use limit laws by bringing the limit inside the power.
So we have 1/4 * 4^4.
This equals 4^3=64.
The solution is : 64 is limit.
What is limit?In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.
here, we have,
Given lim f(x) = 4.
We are given the limit of f(x) as x approaches 0 is 4.
We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.
Let's use limit laws by bringing the limit inside the power.
So we have 1/4 * 4^4.
This equals 4^3=64.
Hence, The solution is : 64 is limit.
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Plz help me well mark brainliest if correct,.........??
Answer: A
Step-by-step explanation:
Because to find the area I multiplied and got 72 then I looked up how to find them perimeter
Answer:
both A and B
Step-by-step explanation:
a's perimeter is 36 (6+6+12+12)
b's perimeter is 36 (4+4+14+14)
c's perimeter is 34 (9+9+8+8)
all the options equal to 72 sq. centi. if u multi
6*12=72
4*14=72
9*8=72
which of the following inequities are true?
Select the TWO correct answers.
A: |4| > 7
B: |-4| < 4
C: |-7| > |4|
D: |7| > |-7|
E: |-4| < |-7|
Answer:
c and e ................
I'm a bit confused about this, can anyone help? Giving 69 points to whoever answers by 12:30 PM (PST)!!
Find the area of the polygon:
Answer: i can give you tips of how to find the area of a polygon.
OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.
Step-by-step explanation:
And you have to add all the sides of the lengths of the sum of the polygon
A political poll finds that 305 out of 600 (50.8%) of a random sample of likely voters are in favor of the Democrat over the Republican prior to a recent local election between the two candidates. The p-value from a two-sided test of whether the population proportion is different than 50% is 0.714.
1. Which of the following could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate?
a. (46.8%, 54.8%)
b. (50.1%, 58.0%)
c. (53.0%, 61.0%)
2. When should you use the median as a summary statistic instead of the mean?
Answer:
1)
Option A.(46.8%, 54.8%) is the correct Answer.
Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ), (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.
2)
When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.
Step-by-step explanation:
Given the data in the question;
Null hypothesis H₀ : p = 50% or 0.5
Alternative hypothesis Hₐ : p ≠ 50% or 0.5
given that p-value = 0.714
The p-value is large, so we can not reject Null hypothesis.
Thus, p = 50% or 0.5
Meaning that, the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 )
Thus, Option A.(46.8%, 54.8%) is the correct Answer.
Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ), (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.
2)
When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.
Cher works in retail sales. Her salary is $400 plus 15% commission on weekly
sales.
Find her sales for the week if her wages for the week is $940.
Answer:
Sales of the week = 3600
Step-by-step explanation:
Given - Cher works in retail sales. Her salary is $400 plus 15% commission on weekly sales.
To find - Find her sales for the week if her wages for the week is $940.
Solution -
Let us assume that,
Her sales of the week = x
Now,
Given that, Her salary is $400 plus 15% commission on weekly sales.
So,
Equation of salary becomes
Salary = 400 + [tex]\frac{15}{100}x[/tex]
i.e.
Salary = 400 + 0.15x .......(1)
Now,
Given that,
her wages for the week is $940.
i.e. Salary = $940
Put in equation (1), we get
940 = 400 + 0.15x
⇒0.15x = 940 - 400
⇒0.15x = 540
⇒x = 3600
∴ we get
Sales of the week = x = 3600
A dry cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. To check this claim, the spot remover will be used on 15 spots chosen at random. If fewer than 11 of the spots are removed, we shall not reject thenull hypothesis that p= 0.7; otherwise, we conclude that p > 0.7.
Required:
a. Evaluate α, assuming that p = 0 .7.
b. Evaluate β for the alternative p = 0.9.
Answer:
α = 1 - 0,915 = 0.085
β = 0.314
Step-by-step explanation:
Dry cleasning clain that spot remover will remove the 70% of spot. The claim support the spot and chose at random.
Null hypothesis:
H0 : p = 0.7
If 11 of spot are removed then hypothesis rejected.
If 11 spots are not removed then hypothesis accepted
H1 : p >0/7
X is the number of spot and binomial random variable.
For a)
The probability of committing the type 1 error use alpha such as
α = P ( type I error)
where X > 10
and p = 0.7
for the given values where n = 12 and r = 10 and p - 0.7
we get
α = 1 - 0,915 = 0.085
b)
The nonrejection of the hypothesis where type II error is false .
The hypothesis for this is 0.9
This is Type II error
β = P ( type II error) = P ( X <= 10 where p = 0.9 )
Where n = 12 , r = 10 and p = 0.9
then
β = 0.314
Accounting
A company borrowed $68000 on September 1st, 2020. Principle and interest at 12% will be paid on August 31, No accrual was made for interest in 2020. What is the adjustment for interest.
Answer: $2,720
Step-by-step explanation:
Assuming the payment will be done in 2021 on August 31, that means that the loan period is a year.
In this case, the interest should be apportioned per month. There are four months in 2020 that the loan was active for so these months should have an adjustment for interest:
Total interest = 12% * 68,000
= $8,160
Monthly rate is:
= 8,160 / 12 months
= $680
There are 4 months in 2020 so the interest for 2020 is:
= 680 * 4
= $2,720
evan is sending a package of some of his produce to his friend in California. The package measures 12 by 9 by 6 inches. He wraps it in brown paper, addresses it, and takes it to the post office to mail. How much brown paper will he need to wrap the box ____in2
Answer:
[tex]468in^{2}[/tex]
Step-by-step explanation:
L=12
W=9
H=6
2lw+2lh+2wh=468
Many think ts, "oh LWH" well actually lwh is volume
The brown paper required to wrap the package is 468 square inches.
What is a cuboid?A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.
For the given situation,
The diagram shows the package that is cuboid in shape.
The dimensions of cuboid are
The length of the cuboid = 12 in
The wide of the cuboid = 9 in
The height of the cuboid = 6 in
The package is wrapped using the brown paper. The brown paper needed can be calculated by using the surface area formula,
[tex]A=2(lw+hl+hw)[/tex]
⇒ [tex]A=2[(12)(9)+(6)(12)+(6)(9)][/tex]
⇒ [tex]A=2[108+72+54][/tex]
⇒ [tex]A=2[234][/tex]
⇒ [tex]A=468[/tex]
Hence we can conclude that the brown paper required to wrap the package is 468 square inches.
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What is the area of this figure?
Using the Fundamental Theorem of Algebra. Complete the following exercises. Show your work.
Determine how many, what type, and find the roots for f(x) = x^4 + 21x^2 − 100.
Determine how many, what type, and find the roots for f(x) = x^3 − 5x^2 − 25x + 125.
Answer:
A) - Quartic polynomial
- has four roots
- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) - Cubic polynomial
- has 3 roots
- roots are; f(x) = (x - 5)²(x + 5)
Step-by-step explanation:
A) f(x) = x⁴ + 21x² − 100
The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.
Factorizing this polynomial gives;
f(x) = (x² + 25)(x² - 4)
Equating to zero, we can find the roots. Thus, the roots are;
x = 5i
x = -5i
x = 2
x = -2
Thus, the completely factorized polynomial is;
f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) f(x) = x³ − 5x² − 25x + 125
The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.
Factorizing this polynomial gives;
f(x) = (x² - 25)(x - 5)
Equating to zero and Factorizing gives;
x = 5
x = -5
x = 5
Thus, completely factorized with the roots is;
f(x) = (x - 5)²(x + 5)
Q8. How many solutions does the system of equations have?
Answer:
it would be the first answer
Step-by-step explanation:
a solution is where the lines meet, and the coorinate is (1,4)
Select the correct answer,
Which risk should be avoided for short-term investments?
OA
market risk
OB. liquidity risk
Ос.
credit risk
OD.
business risk
Answer:
b
Step-by-step explanation:
liquidity risk. because the shorter the term the lesser the liquidity.
4
3
3
2+
-4
-3
-2 -1
1
1
2
3
4
-1+
-2+
-3
-4
What is the slope of the line?
Answer:
2/3
Step-by-step explanation:
rises 2 units and east 3 units
rise / run = 2 / 3
Write the algebraic expression: 4p times the sum of 7 and 5p
Answer:
4p(7 + 5p)
Step-by-step explanation:
4p times the sum of 7 and 5p
4p(7 + 5p)
A line is parallel to y = 4x + 1 and
intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [ ]
Answer:
-2,-5 is the value. The correct Answer
find the side length x on the right triangle 18 9 x
Answer:
answer is 15.6
Step-by-step explanation:
11. You conduct a random
sample of 250 of UCLA's entering freshmen and get an average GPA of
a. Find a 95% confidence interval for the average GPA of all of UCLA's entering freshmen.
b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval
support this claim? Explain your reasoning
Answer:
a) The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).
b) 4.05 is not part of the confidence interval, which means that it does not support this claim.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.96\frac{0.75}{\sqrt{250}} = 0.1[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 4.21 - 0.1 = 4.11
The upper end of the interval is the sample mean added to M. So it is 4.21 + 0.1 = 4.31
The 95% confidence interval for the average GPA of all of UCLA's entering freshmen is (4.11, 4.31).
b. UCLA claims the average GPA for entering freshmen is 4.05. Does your confidence interval support this claim?
4.05 is not part of the confidence interval, which means that it does not support this claim.
pls help. due tmrw. will give brainliest
Answer:
0
Step-by-step explanation:
PLEASE HELP MAX POINTS ONE OF THE LAST ASSIGNMENTS IN THE SEMESTER, I HAVE 4 HOURS TO FINISH MY HOMEWORK
can complementary angles be supplementary?
be sure to include a drawing of proof, look at screenshot for more details
Answer:
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary
A train car has 23 rows that hold 4 seats each. If 3 train cars are coupled together, how many people can the train hold?
O 34 people
O 92 people
276 people
O 2,760 people
Answer:
276 is the answer
Step-by-step explanation:
23x4=92
92x3=276
Is 2.32332333... a rational or irrational number?
Choose the correct answer below.
1. Rational number
2. Irrational number