Answer:
d
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”
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]
What is the length of AC?
Is 2.32332333... a rational or irrational number?
Choose the correct answer below.
1. Rational number
2. Irrational number
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
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.
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
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)
The population of Nowhere, USA was estimated to be 665,200 in 2004, with an expected increase of 1.9 % per year. At the percent of increase
given what was the expected population in 2005? Round your answer to the nearest whole number.
Answer:
677838 people
Step-by-step explanation:
1.9 percent of 665200 is 12638
665200+12638=677838
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
pls help. due tmrw. will give brainliest
Answer:
0
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.
To learn more on limit click:
https://brainly.com/question/24169952
#SPJ7
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 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.
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]
The ratio of dogs to cats is 4 to 7. how many dogs are present if there is 49 cats
Answer:
28 dogs are present
Step-by-step explanation:
Dogs : Cats
= 4 : 7
= ? : 49
= 4 x 7 : 7 x 7
= 28 : 49
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
help me please im dum ...
Answer:
100
Step-by-step explanation:
1/2 x b x h
1/2 x 20 x 10
100
seventh grade
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
ninth grade
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Find the median of each data set.
Median of seventh grade=
Median of ninth grader
Answer:
median of seventh grade = 16.5
median of ninth grade = 16.5
Step-by-step explanation:
median = middle number, there are 18 numbers in total of each set. Since its even the middle number is kinda 16 and 17, but you can only choose one so the middle of 16 and 17 is 16.5
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
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
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.
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.
please help with this math question
What two numbers that multiply to -115 but add to 10
Answer:
-1 and 10
Step-by-step explanation:
Here we answer the question: "What two numbers multiply to -10 and add up to 9?"
The answer to your question is:
-1 and 10
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
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.
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
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)
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 ................