Answer:
B.The coefficient of determination measures the percent of variation explained by the multiple regression model.
Step-by-step explanation:
The answer to this question is option b because the coefficient of variation R² gives a measure of the variability that is ending y values or the dependent variables which can be explained in a multiple linear regression.
In simpler words, it is the percentage of proportion of variation in the dependent variable that can be predicted using the explanatory variables.
which of the following are solutions to the quadratic equation below? x^2+7x=8
Answer:
x = -8, 1
Step-by-step explanation:
Hi there!
[tex]x^2+7x=8[/tex]
Move 8 to the other side:
[tex]x^2+7x-8=8-8\\x^2+7x-8=0[/tex]
Now, we can ask ourselves: what two factors of -8 add to 7? Those two numbers would be 8 and -1. Knowing this, factor:
[tex](x+8)(x-1)=0[/tex]
Because of the zero product property (that states that if the product of two numbers is 0, then one of the numbers must be equal to 0), we can find the solutions to the quadratic by setting each term equal to 0:
[tex]x+8=0\\x=-8[/tex]
[tex]x-1=0\\x=1[/tex]
Therefore, the solutions of the quadratic are -8 and 1.
I hope this helps!
Select all correct answers
What are the solution to this equation
-7+(x^2-19)^3/4=20
Correct options are -10 and 10
-7 + (-10² - 19)³/⁴ = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
-7 + (10² - 19)^3/4 = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
Rest options are incorrect
Answered by Gauthmath must click thanks and mark brainliest
Answer:
B and C, so 10 and -10
Step-by-step explanation:
What is the smallest number that becomes 600 when rounded to the nearest hundred?
A. 545
B. 550
C. 555
D. 590
Answer:
B. 550
Step-by-step explanation:
550 is the smallest number that becomes 600 when rounded to the nearest hundred
At a university of 25,000 students, 18% are older than 25. The registrar will draw a simple random sample of 242 of the students. The percentage of students older than 25 in the sample has an expected value of 18% and a standard error of:______.
Answer:
Standard error of: 2.47%
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
18% are older than 25.
This means that [tex]p = 0.18[/tex]
Simple random sample of 242 of the students.
This means that [tex]n = 242[/tex]
Standard error:
By the Central Limit Theorem:
[tex]s = \sqrt{\frac{0.18*0.82}{242}} = 0.0247[/tex]
0.0247*100% = 2.47%
Standard error of: 2.47%
(-8^4 y^7) (-6^3 y z10^4)
Answer:
216 * 80^4 * y^8 *z
Step-by-step explanation:
Just use the foil method to solve and add like terms.
Consider rolling a fair die twice and tossing a fair coin nineteen times. Assume that all the tosses and rolls are independent.
The chance that the total number of heads in all the coin tosses equals 9 is(Q)_____ , and the chance that the total number of spots showing in all the die rolls equals 9 is(Q)__________ The number of heads in all the tosses of the coin plus the total number of times the die lands with an even number of spots showing on top (Q)______(Choose A~E)
a. has a Binomial distribution with n=31 and p=50%
b. does not have a Binomial distribution
c. has a Binomial distribution with n=21 and p=50%
d. has a Binomial distribution with n=21 and p=1/6
e. has a Binomial distribution with n=31 and p=1/6
Answer:
Hence the correct option is option c has a Binomial distribution with n=21 and p=50%.
Step-by-step explanation:
1)
A coin is tossed 19 times,
P(Head)=0.5
P(Tail)=0.5
We have to find the probability of a total number of heads in all the coin tosses equals 9.
This can be solved using the binomial distribution. For binomial distribution,
P(X=x)=C(n,x)px(1-p)n-x
where n is the number of trials, x is the number of successes, p is the probability of success, C(n,x) is a number of ways of choosing x from n.
P(X=9)=C(19,9)(0.5)9(0.5)10
P(X=9)=0.1762
2)
A fair die is rolled twice.
Total number of outcomes=36
Possibilities of getting sum as 9
S9={(3,6),(4,5)(5,4),(6,3)}
The total number of spots showing in all the die rolls equals 9 =4/36=0.1111
3)
The event of getting a good number of spots on a die roll is actually no different from the event of heads on a coin toss since the probability of a good number of spots is 3/6 = 1/2, which is additionally the probability of heads. the entire number of heads altogether the tosses of the coin plus the entire number of times the die lands with a good number of spots has an equivalent distribution because the total number of heads in 19+2= 21 tosses of the coin. The distribution is binomial with n=21 and p=50%.
which data is represented by this plot?
a)2,4,0,4,6,3,1,7,8,1,1
b)0,1,2,3,4,5,6,7,8,0,1
c)0,2,3,0,2,4,4,5,7,8,7
d)1,2,6,4,7,7,2,2,0,1
The operations manager of a company that manufactures tires wants to determine whether there are any differences in the quality of work among the three daily shifts. She randomly selects 300 tires and carefully inspects them. Each tire is either classified as perfect, satisfactory, or defective, and the shift that produced it is also recorded. The two categorical variables of interest are "shift" and "condition of the tire produced". The p-value of the Chi-Squared test of independence is 0.073. Does the data provide sufficient evidence at the 5% significance level to infer that there are differences in quality among the three shifts?
The operation manager is responsible to identify whether there are errors in quality of the tires manufactured.
There are three different shifts and each shift has different team of workers who manufacture tires. For this we test hypothesis as;
H0 ; Quality of tire manufactured is independent on shifts
Ha ; Quality of tires manufactured is dependent on shifts.
The p value of chi squared test is greater than the significance level therefore we reject the null hypothesis.
This hypothesis reach to conclusion that quality of tires is dependent on shifts, which means there are differences in quality among the three shifts.
Learn more at https://brainly.com/question/24365931
Suppose 1 in 5 (1/5) JWU students own their own car. If four students are randomly selected, what is the probability that all four own their car?
Answer:
1/625 = 0.0016
Step-by-step explanation:
update, oh sorry, this is about 4 picks and not 5.
so, it is 1/5⁴ = 1/625 = 0.0016
1 in 5 own their own car.
that is 20% or a chance of 1/5 = 0.2 of picking a student owning a car.
let's assume that the total number of students is large enough that each pick does not change the individual probabilities.
each event (picking a student and checking the ownership of a car) is independent and non-overlapping.
so, the probability that all 5 own a car is the chance of picking the 5th student owning a car AND all 4 previous student picks owning a car.
the probability that all 4 previous picks own a car is the chance of picking the fourth student owning a car AND all 3 previous student picks owning a car.
the probability that all 3 previous picks own a car is the chance of picking the third student owning a car AND all 2 previous student picks owning a car.
the probability that all 2 previous picks own a car is the chance of picking the second student owning a car AND the previous student pick owning a car.
the probability that the first student pick owns a car is 1/5 or 0.2
so, we have a clean
1/5×1/5×1/5×1/5×1/5 = 1/5⁵ probability = 1/3125 = 0.00032
What is x: |3x-1| = 4
Step-by-step explanation:
3x-1=4
3x=4+1
3x=5
x=5/3
Answer:
x = 5/3 x = -1
Step-by-step explanation:
|3x-1| = 4
There are two solutions, one positive and one negative
3x-1 =4 and 3x-1 = -4
Add 1 to each side
3x-1+1 = 4+1 3x-1+1 = -4+1
3x = 5 3x = -3
Divide by 3
3x/3 = 5/3 3x/3 = -3/3
x = 5/3 x = -1
factorise m^2 - 12 m + 24
Answer:
(m-6+2root3)(m-6-2root3)
Step-by-step explanation:
m^2 - 12m +36 -12
= (m-6)^2 - 12
= (m-6+2root3)(m-6-2root3)[root 12 = 2root3]
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic equation with its solution set.
Answer:
2x^2 - 9x -1 = 0
Solution: x = 9 ±√89/4
2x^2 -9x +6 = 0
Solution: 9 ± √33/4
Step-by-step explanation:
Given the equation;2x^2 - 9x -1 = 0
From the quadratic formula;
-b ±√ b^2 -4ac/2a
We have;
x= -(-9) ± √(-9)^2 - -4(2)(-1)/2(2)
x = 9 ±√89/4
Also;
Given the equation: 2x^2 -9x +6 = 0
From the quadratic formula: -b ±√ b^2 -4ac/2a
We have;
x= -(-9) ± √(-9)^2 - 4(2)(6)/2(2)
x= 9 ± √33/4
1.) 2x^2-9x+6 2.) 2x^2-8x+5 3.) 2x^2-9x-1 4.) 2x^2-8x-3
Step-by-step explanation:
If f(x) is an exponential function where f(-1.5) 26 and
f(5.5) = 7, then find the value of f(10), to the nearest hundredth.
Answer:
[tex]f(10) = 1147.25[/tex]
Step-by-step explanation:
Given
[tex]f(-1.5) = 26[/tex]
[tex]f(5.5) = 7[/tex]
Required
f(10)
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
[tex]f(-1.5) = 26[/tex] impleies that:
[tex]26 = ab^{-1.5}[/tex] --- (1)
[tex]f(5.5) = 7[/tex] implies that
[tex]7 = ab^{5.5}[/tex] --- (2)
Divide (2) by (1)
[tex]26/7 = ab^{-1.5}/ab^{5.5}[/tex]
[tex]3.71429 = b^{-1.5+5.5}[/tex]
[tex]3.71429 = b^{4}[/tex]
Take 4th root
[tex]b = 1.39[/tex]
Substitute [tex]b = 1.39[/tex] in [tex]26 = ab^{-1.5}[/tex]
[tex]26 = a * 1.39^{-1.5}[/tex]
[tex]26 = a * 0.6102[/tex]
Solve for (a)
[tex]a = 26/0.6102[/tex]
[tex]a = 42.61[/tex]
f(10) is calculated as:
[tex]f(10) = ab^{10}[/tex]
[tex]f(10) = 42.61 * 1.39^{10}[/tex]
[tex]f(10) = 1147.25[/tex]
giả sử tỷ lẹ bệnh nhân tại 1 thành phố là a%
khám ngẫu nhiên b người tại thành phố này tính khả năng 2B + A người có bệnh
Answer:
ask in English then I can help u
Which type of correlation does the scatter plot show?
A) No correlation
B) Positive correlation
C) Negative correlation
D) Can't be determined
Answer: B, Positive Correlation
Step-by-step explanation:
Every point after the first point increases. Therefore, we have a positive correlation. If it was a negative correlation, every point after the first would be decreasing.
Please help me on this
Answer:
gshwhsye
Step-by-step explanation:
gshshhshshshjsjsjsj
Please help 20 points. I will give Brainly to who ever get it right.
The range is the an interval on the y-axis where the function is defined.
You can see that your function is y-wise going all the way down to negative infinity but then stops and continues the path along 2 on the upper bound.
The inequality describing the interval is thusly B,
[tex]-\infty\lt y\lt2[/tex]
Hope this helps :)
Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the probability that the first marble is white and the second marble is blue.
Answer:
3/56
Step-by-step explanation:
Probability is the ratio of the number of possible outcome to the number of total outcome.
Given that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles.
The total number of marbles in the box
= 1 + 3 + 2 + 2
= 8 marbles
The probability that the first marble is white and the second marble is blue
= 3/8 * 1/7
= 3/56
the
Calculate the consumer Surplus, if the
demand function is given as pdf=Q²-3q-4 at
the equilbrum
Price of
6.00
Answer:
2
Step-by-step explanation:
33
Walnut High Schools Enrollment is exactly five times as large as the enrollment at walmut junior high the total enrollment for the two schools is 852 what is the enrollment at each school
Answer:
Enrollment at walnut junior = 142
Enrollment at walnut high = 710
Step-by-step explanation:
Let :
Enrollment at walnut junior = x
Enrollment at walnut high = 5x
Total enrollment in both schools = 852
Mathematically ;
x + 5x = 852
6x = 852
x = 142
5x = 142 * 5 = 710
Hence,
Enrollment at walnut junior = 142
Enrollment at walnut high = 710
A newsletter publisher believes that over 47% of their readers own a Rolls Royce. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.02 level of significance, the advertiser failed to reject the null hypothesis. What is the conclusion regarding the publisher's claim?
The advertiser failed to reject the null hypotenuse so this would mean there is not sufficient evidence at the 0.02 level of significance to say that the percentage of people who own a Rolls Royce is higher than 47%
square root of 12321 by prime factorization
12321-3x3x37x37
(3)^2×(37)^2
square root = 3×37=111
Hope it helps you..!!
10
8
12
10
14
?
a. 16
b. 10
c. 12
d. 18
Answer:
12
Step-by-step explanation:
10 8 subtract 2
8 12 add 4
12-10 subtract 2
10 14 add 4
Now we subtract 2
14-2 = 12
3/4 of the households in a rural area have pets. how many households have pets in this area if there are 1500 total households
Answer:
1,125 households would have pets in the area.
Step-by-step explanation:
We have 1,500 total households. We also know that 3/4 (or 0.75) of these households have pets. We would multiply 1,500 by 0.75 (which is equal to 3/4), resulting in 1,125. Therefore, 1,125 households would have pets in the area.
Answer:
1125 households
Step-by-step explanation:
3/4 of total households in area = # of households that have pets in the area
3/4 of 1500 = # of households that have pets in the area
3/4 · 1500 = # of households that have pets in the area
75/100 · 1500 = # of households that have pets in the area
0.75 · 1500 = 1125
1125 households
An just finished taking statistics, and wants to do a survey on the average salary of Spring 2019 HCC graduates. She calculates that the standard error of the mean is $128.13 after she surveyed a group of students who reported an annual income of $43,650 and she knows the population standard deviation is $2,050, how many students were randomly sampled by An?
Answer:
The appropriate answer is "256".
Step-by-step explanation:
Given:
Standard error,
SE = 128.13
Standard deviation,
[tex]\sigma[/tex] = $2050
As we know,
⇒ [tex]SE = \frac{\sigma}{\sqrt{n} }[/tex]
or,
⇒ [tex]\sqrt{n}= \frac{\sigma}{SE}[/tex]
By substituting the values, we get
[tex]=\frac{2050}{128.13}[/tex]
[tex]=\frac{205000}{12813}[/tex]
[tex]n = (\frac{205000}{12813} )^2[/tex]
[tex]=255.98[/tex]
or,
[tex]=256[/tex]
A general contractor is constructing a building that requires a concrete foundation that is to be 20 feet by 22 feet and 24 inches thick. If the local home supply store sells concrete for $ 110 per cubic yard, what will be the cost of the concrete for the foundation?
Express your answer rounded up to the next whole dollar.
Answer:
$38427
Step-by-step explanation:
Surface Area Formula: A=2(wl+hl+hw) where l=length w=width h=height
A=2((20(22))+(22(2))+(20(2)) = 1048ft^2
3 ft = 1yds -> 1048 ft = 349 1/3 yds
349 1/3(110)= 38426.66666
$38427
Answer: $2,613,600
Step-by-step explanation:
Concept:
Here, we need to know the idea of unit conversion and a rectangular prism.
When there are multiple units occurring in the same question, then we should convert all the units into one by different conversion factors.
A rectangular prism is a three-dimensional figure that has 6 sides that are rectangles.
1 foot = 12 inches
1 yard = 3 feet
V (rectangular prism) = w · l · h
Solve:
24 inches = 24 / 12 = 2 feet
$110 per cubic yard = 110 × 3³ = $2970 per cubic feet
V = w · l · h
V = (20) (22) (2)
V = 880 feet³
880 × 2970 = $2,613,600
Hope this helps!! :)
Please let me know if you have any questions
mr albernathy perchases a selection of wrenches for his shop. his bill was $78. he buys the same number of $1.50 wrenches and $2.50 wrenches, and half as may $4 dollars wrenches. the number of $3 wrenches is one more than the number of $4 dollars wrenches. how many of each did he purchase?
Answer:
Mr. Abernathy purchased 10 of $1.50 wrenches, 10 of $2.50 wrenches, 5 of $4 wrenches and 6 of $3 wrenches.
Step-by-step explanation:
Please answer ASAP!!!!
Answer:
0
Step-by-step explanation:
0
The diameter of a sphere is 4 cm. Which represents the volume of the sphere?
32/3 πcm^3
8 πcm^3
64/3 πcm^3
16 π cm^3
Answer:
V = 32/3 pi cm^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The diameter is 4 so the radius is d/2 = 4/2 = 2
V = 4/3 pi (2)^3
V = 32/3 pi cm^3
The graphs of exponential functions f and g are shown on the coordinate plane below.
9514 1404 393
Answer:
k = 3
Step-by-step explanation:
It is convenient to look at the line y=1 to see that f(0) = 1 and g(3) = 1. Then for x=3, g(3) = f(3 -k) = f(0) = 1
k = 3
__
k is the amount by which the function has been shifted to the right. By comparing grid-intersection points on f(x) and g(x), we see that g(x) is 3 units to the right of f(x), so k = 3.
