Answer:
The dimensions are 5 and 10 inches
Step-by-step explanation:
The area is 50 square inches and the length is twice the width. 10 is the length, which is two times 5. 10 times 5 is 50.
The length is 10 and the width is 5.
Is 2.32332333... a rational or irrational number?
Choose the correct answer below.
1. Rational number
2. Irrational number
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 bank adjusts its interest rates for new certificates of deposit daily. The table shows the interest rates on the first of the month for January through May. Find the best fitting model for the data. If this pattem were to continue, what would the interest rate be on the first of June? Month 1 2 3 4 un Rate 3.9 44 4.6 3.8 3.1 a) The best fit equation is D) The R value is : c) The interest rate on the first of July will be :: y=-0.243.12 +1.2371 + 2.92 :: y = -0.22+ 4.62 * 3.3 1.6 : 0.955 :: 0.353
Answer:
a
Step-by-step explanation:
for the first answer it’s the first equation
Answer:
Umm can you take another picture of it because i can't really see it ,
Step-by-step explanation:
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
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)
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]
find the side length x on the right triangle 18 9 x
Answer:
answer is 15.6
Step-by-step explanation:
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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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.
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.
What is the length of AC?
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
What is the area of this figure?
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
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
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
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.
A regular polygon has 20 sides.
What is the size of each of its interior angles?
Give your answer in degrees ().
Answer:
Step-by-step explanation:
sum of exterior angles=360°
each exterior angle=360/20=18°
each interior angle=180-18=162°
Answer:
16.2°
Step-by-step explanation:
polygon has 20 sides
regular polygon
How to find the sum of all interior angles in a polygon?
=> (n-2) x 180
here n means number of sides
=> (20-2) x 180
=> 18 x 18
=> 324
there are as many interior angles in a polygon as many sides it has.
and the size of each angle is the same in a regular polygon.
so => 324/20 = 16.2°- Answer
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 ................
If a is an odd number, then 2a is an even number,
Answer:
That would be correct!
Step-by-step explanation:
Hope this help :3
Answer:
yes
STEP-BY-STEP-EXPLANATION:
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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Which of the following is the standard equation of a circle with center (-10,-8) and radius 3.2
Answer:
It should be one of these:
(x + 10)² + (y + 8)² = 3.2²
(x + 10)² + (y + 8)² = 10.24
Step-by-step explanation:
You didn't list the choices, but this is the standard equation
(x + 10)² + (y + 8)² = 3.2²
the 3.2² term may be presented as 10.24
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
For the parallelogram if m<2=4x=3x-15, find m<3. The diagram is not to scale.
Answer:
159
Step-by-step explanation:
Diagonal angles of a parallelogram are equal.
Therefore, 3x-15 = 4x-27.
3x - 15 = 4x - 27
4x = 3x + 12
x = 12
Angle 4 = 21 degrees, because 36 - 15 = 21.
All angles in a parallelogram add up to 360 degrees.
360 - 42 = 318
318 / 2 = 159
The angle measure is 159 degrees.
pls help. due tmrw. will give brainliest
Answer:
0
Step-by-step explanation:
Set up an equation and solve for the unknown number.
“The sum of 4 and a number is equal to twice that same number”
Three-fourths of the work related to $13,000 of cash received in advance was performed this period
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.
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
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]