Answer:
y= x-4
Step-by-step explanation:
The heights (in inches) of a sample of eight mother/daughter pairs of subjects were measured. Using a spreadsheet with the paired mother/daughter heights, the linear correlation coefficient is found to be 0.693. Find the critical value, assuming a 0.05 significance level. Is there sufficient evidence to support the claim that there is a linear correlation between the heights of mothers and the heights of their daughters?
A. Critical value = ± 0.666; there is not sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.
B. Critical value = ± 0.707; there is sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.
C. Critical value =± 0.666; there is sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.
D. Critical value =± 0.707; there is not sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.
Answer:
D. Critical value =± 0.707; there is not sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.
Step-by-step explanation:
Given that :
Correlation Coefficient, r = 0.693
The sample size, n = 8
The degree of freedom used for linear correlation :
df = n - 2
df = 8 - 2 = 6
Using a critical value calculator for correlation Coefficient at α = 0.05
The critical value obtained is : 0.707
The test statistic :
T = r / √(1 - r²) / (n - 2)
T = 0.693 / √(1 - 0.693²) / (8 - 2)
T = 0.693 / 0.2943215
T = 2.354
Since ;
Test statistic < Critical value ; we fail to reject the null and conclude that there is not sufficient evidence to support the claim of a linear correlation between heights of mothers and heights of their daughters.
. Which equation represents y = −x2 + 4x − 1 in vertex form?
Answer:
Rewrite in vertex form and use this form to find the vertex
(
h
,
k
)
.
(
2
,
3
)
Step-by-step explanation:
Marty's barber shop has one barber. Customers arrive at a rate of 2.2 per hour and haircuts are given at a rate of 5 customers per hour. Assume a Poisson arrival rate and an Exponential service time distribution.
Required:
a. What is the probability that one customer is receiving a haircut and one customer is waiting?
b. What is the probability that one customer is receiving a haircut and two customers are waiting?
c. What is the probability that more than two customers are waiting?
Answer:
Step-by-step explanation:
Arrival rate = ∧ = 2.2 customers per hour
Service rate = u = 5 customers per hour
1. Probability that one customer is receiving a haircut and one customer is waiting
P(2 customers)=(∧/u)^2 * (1-∧/u)=(2.2/5)^2 * (1-2.2/5)=0.1936*0.56= 0.108416
2. Probability that one customer is receiving a haircut and two customers are waiting
P(3 customers)= (∧/u)^3 * (1-∧/u)=(2.2/5)^3 * (1-2.2/5)= 0.085184
* 0.56= 0.04770304
3. Probability that more than two customers are waiting
P(more than 3 customers)=1- P(less than 3 customers) =
1- [P(0)+P(1)+P(2)+P(3)]=
= 1- [(1-2.2/5) +2.2/5*(1- 2.2/5) + 0.108416+0.04770304]=1-0.9625=0.0375
In a class of 20 students, all but 4 of the students put their names on a typed assignment. If the teacher randomly guesses, what is the probability that she correctly guesses which paper belongs to each of the four remaining students
Answer:
4.17%
(1/4)(1/3)(1/2)(1)
alternative you can say that there are 24 permutations of
4 items and that you have to guess 1 of them 1/24 = 4.17%
Step-by-step explanation:
0.25
0.333333333
0.5
1
The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.
Which function represents the value of the car after t years?
f(t)=0.85(21,000)t
f(t)=1.15(21,000)t
f(t)=21,000(0.85)t
f(t)=21,000(1.15)t
9514 1404 393
Answer:
(c) f(t)=21,000(0.85)^t
Step-by-step explanation:
Each year, the value is multiplied by 1-15% = 85% = 0.85. This is correctly shown in the function ...
f(t)=21,000(0.85)^t
If f(x)=5x and g(x)=2x-1, what is the composition f(g(x))?
Answer:
10x-5
Step-by-step explanation:
f(x)=5x
g(x)=2x-1
To create a composite function, replace x in f(x) with g(x)
f(g(x)) = 5(g(x) = 5(2x-1) = 10x-5
How do you solve this problem and what did you do to gain the answer 1/64+5/8-3/32=?
Answer:
the answer is 35/64(in fraction) but in decimals it's 0.55
The following formula gives the area A of a trapezoid with base lengths b1 and b2, and height h.
A=12(b1+b2)h
Find the area of a trapezoid with base lengths 3 and 6 and a height of 8.
My daughter had a quiz today and the 3 questions did not make sense to me. Can anyone decifer how you would solve for the variable on these? I am stumped!!
1) In 10 years, Sara will be 81 older than she is now. How old is Sara now?
2) In 8 years, Sara will be 49 years older than she is now. How old is Sara now?
3) In 11 years, Bob will be 100 years than he is now. How old is Bob now?
Answer:
1 71years
Step-by-step explanation:
x+10=81
x=71
2. x+8=49
x=41
3. x+11=100
x=99
Question 20 only plz and thanks
-2,6,-18,54, what is the common ratio of the sequence
Answer:
2
Step-by-step explanation:
Answer:
Common Ratio=-3
Step-by-step explanation:
To find any common ratio in a sequence, always take the second number in the sequence and divide it by the first number. However, you must be careful because the common ratio should only be negative if the values in the sequence are alternating between negative and positive. Therefore, if the sequence of numbers is simply decreasing in value, this does not mean that the common ratio is negative. The common ratio would still be positive. If the sequence is decreasing in value, this means that the common ratio would be a fraction or a decimal less than one.
Samantha acored 15 points in her laat
basketball game. She made 3 free throwa
that are worth 1 point each. The rest of
her pointa came on 2 point field goala,
Write an equation that can be used to find
the number of 2 point field goals that
Samantha made
(uae p as your variable)
Help fasttt
Answer:
15=2p+3
Step-by-step explanation:
A teacher is paid an annual salary of $37.165. What is her gross monthly salary.
Answer:
3.01
Step-by-step explanation:
To Find :-
Monthly salary .SOLUTION :-
=> Monthly salary = $ 37.165/12= $ 3.01
HELP HELP HELPPPP
ILL GIVE BRAINLIEST HELPPPPPPPPP
100 POINTSSS
Answer:
C. 0.48
Step-by-step explanation:
Probability = number of required outcome
_______________________
number of possible outcome
= total volleyball game events
_______________________
total sophomore + junior
= 66/137
= 0.48
Answer: D) 0.31
Step-by-step explanation:
Let A denote the event that a person is a sophomore.
Let B denote the event that a person has attended volleyball game.
A∩B denote the event that a person is a sophomore and attend volleyball game.
Let P denote the probability of an event.
We are asked to find:
P(A∩B)
From the table provided to us we see that:
A∩B=42
Hence,
P(A∩B)=42/137=0.3065 which is approximately equal to 0.31. Therefore ur answer will be 0.31.
Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each year. Which expression gives the partial sum, S3, (in thousands)?
PLEASE HELP! Don’t know how to solve this or where to start. I tried multiplying and dividing but still got the wrong answer. How do I solve this problem?
Answer:
306 square meters.
Step-by-step explanation:
Divide the shape into 2 rectangles.
Lets do the one that is sticking to the top first.
The area is 6 * 15, which is 90.
Lets do the second rectangle. The area is:
27 * 8, which is 216.
Add them all up (90 + 216), which is 306.
Answer:
306m²
Step-by-step explanation:
Split the shape into two rectangles with the accureate lengths
The top-most of the two rectangles with length 6m and width 15m:
6 x 15 = 90 m² (area of rectangle A)
The bottom rectangle:
27(full length) x 8m(full width) = 216m²
Add the two areas together for the full shape
216 + 90 = 306m²
by what number should 2/9 be divided to obtain 8/3
Answer:
[tex] \frac{1}{12} [/tex]
Step-by-step explanation:
[tex] \frac{2}{9} \div \frac{8}{3} \\ = \: \frac{1}{12}[/tex]
So, if you divide 2/9 by 1/12, you'll get 8/3
Answered by GAUTHMATH
3 miles in 25 minutes same rate in 20 minutes?
Step-by-step explanation:
25 minutes=3 miles
1 minute = 3/25 miles
20 minutes = 3/25 * 20 miles
= 2.4 miles
Therefore, the answer is 2.4 miles.
find the x-intercepts y=2x^2 + 5x + 2/x^2-4x+3
Answer:
[tex]{ \tt{y = \frac{2 {x}^{2} + 5x + 2}{ {x}^{2} - 4x + 3 } }} \\ x - intercept : y = 0 \\ { \tt{ \frac{2 {x}^{2} + 5x + 2 }{ {x}^{2} - 4x + 3 } = 0 }} \\ \\ { \tt{2 {x}^{2} + 5x + 2 = 0}} \\ x = \frac{1}{2} \: \: and \: \: x = - 2[/tex]
Ellis makes some biscuits. For every 200g of flour he uses, he needs 75g of butter
a. Write a ratio for the amount of flour to the amount of butter.
b. Write a formula forf, the amount of flour, in terms of the amount of butter, b.
c. Ellis makes 24 biscuits using 300g of flour.
How many biscuits can he make with 375g of butter?
Answer:
a) 8:3, b) no formula is there, c) 30
Step-by-step explanation:
because 200/75=8:3
because there formula being obtained
because 300/24=12.5
375/12.5=30
The function f(x) is shown below.
х
-6
-3
f(x)
1
2
5
3
Coon
0
If g(x) is the inverse of f(x), what is the value of f(g(2))?
-6
оооо
5
Answer:
[tex]f(g(2)) = 2[/tex]
Step-by-step explanation:
Given
[tex]x \to f(x)[/tex]
[tex]-6 \to 1[/tex]
[tex]-3 \to 2[/tex]
[tex]g(x) = f^{-1}(x)[/tex] --- inverse
Required
[tex]f(g(2))[/tex]
For two functions f(x) and g(x) where f(x) and g(x)are inverse;
[tex]f(g(x)) = x[/tex]
So, by comparison:
[tex]f(g(2)) = 2[/tex]
please help please help
Answer:
1. number line or 3
2. D
3. E and K
4. B
5. A
Brainliest please~
what is nine and three hundred twenty-one thousandths in decimal notation?
Answer:
Step-by-step explanation:
What are all the values of w such that|-W | = 5?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]w = 5, -5[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
Absolute value is simply how far a digit is from zero.The digits '-5' and '5' are 5 away from zero.Therefore:
[tex]w =\pm5[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home. Give the value of the standard error for the point estimate.
Answer:
The value of the standard error for the point estimate is of 0.0392.
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]
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.
This means that [tex]n = 100, p = \frac{81}{100} = 0.81[/tex]
Give the value of the standard error for the point estimate.
This is s. So
[tex]s = \sqrt{\frac{0.81*0.19}{100}} = 0.0392[/tex]
The value of the standard error for the point estimate is of 0.0392.
Suppose that E and F are points on the number line. If EF=20 and E lies at 4, where could F be located?
Answer:
F lies at 24Step-by-step explanation:
Since EF = 20 and E is at 4
F is at:
4 + 20 = 24A gym at a school is being painted. The four walls and the ceiling are to be painted (but not the floor). The gym measures 100 ft x 65 ft x 25 ft. A 5 gallon can of paint costs $151.99 and covers 1750 ft. How many cans should be purchased? What will it cost to paint two coats for this gym (include HST)?
9514 1404 393
Answer:
17 cans$2,971.40Step-by-step explanation:
We assume ...
the 25' dimension is the wall heightthe HST rate is 15% (the paint is not purchased in Ontario)only full cans of paint can be purchasedThe wall area is the wall height times the perimeter of the room.
wall area = (25')(2(100' +65')) = 8250 ft²
The ceiling area is the product of length and width.
ceiling area = (100')(65') = 6500 ft²
Then the area to be painted with each coat is ...
painted area = wall area + ceiling area = (8250 +6500) ft² = 14750 ft²
Then two coats of paint will require sufficient paint to cover ...
(2 coats)×(14750 ft²/coat) = 29,500 ft²
__
If each can of paint covers 1750 ft², the number of cans required is ...
(29,500 ft²)/(1750 ft²/can) = 16.86 cans
17 cans must be purchased
__
The cost of 17 cans of paint with sales tax will be ...
(17 cans)($151.99/can)(1 +15%) = $2971.40
Suppose z varies directly with x and inversely with the square of y. If z = 16 when x = 4 and y = 1 , what is z when x = 8 and y = 9 ?
Answer:
z = 3.6
Step-by-step explanation:
Given that,
z varies directly with x and inversely with the square of y. We can write it as :
[tex]z\propto \dfrac{x}{y}\\\\z=\dfrac{kx}{y}[/tex]
Where
k is constant
Put z = 16 when x = 4 and y = 1
[tex]16=\dfrac{k\times 4}{1}\\\\k=4[/tex]
Now put k = 4, x = 8 and y = 9
[tex]z=\dfrac{4\times 8}{9}\\\\z=3.6[/tex]
So, the value of z is equal to 3.6.
Two vectors and are given by and . If these two vectors are drawn starting at the same point, what is the angle between them
Answer: hello your question is incomplete below is the complete question
The Two vectors; A = 5i + 6j +7k and B = 3i -8j +2k.
answer;
angle = 102°
Step-by-step explanation:
multiplying the vectors
A.B = |A| * |B|* cosθ
hence : Cosθ = (Ai*Bi )+ (Aj*Bj) + ( Ak*Bk/ (√A^2 *√B^2 )
= 15 - 48 + 14 /(√25+26+29) * (√9+64+4)
= -0.206448454
θ = cos^-1 ( -0.206448454) = 101.9° ≈ 102°
An electronic system contains three cooling components that operate independently. The probability of each component's failure is 0.05. The system will overheat if and only if at least two components fail. Calculate the probability that the system will overheat.
Answer:
[tex]Pr= 0.00725[/tex]
Step-by-step explanation:
Given
[tex]p = 0.05[/tex] ---- probability that each component fails
[tex]n = 3[/tex]
Required
[tex]P(System\ Overheats)[/tex]
We understand that the system will overheat if at least 2 component fails; Assume the components are: x, y and z
The events that the system will overheat are: xyz', xy'z, x'yz and xyz
Where ' means that the component did not fail, and the probability is 1 - p (i.e. complement rule)
So, we have:
[tex]xyz' \to 0.05 * 0.05 * (1 - 0.05) = 0.002375[/tex]
[tex]xy'z \to 0.05 * (1 - 0.05)* 0.05 = 0.002375[/tex]
[tex]x'yz \to (1 - 0.05)* 0.05 * 0.05 = 0.002375[/tex]
[tex]xyz \to 0.05 * 0.05 * 0.05 =0.000125[/tex]
So, the required probability is:
[tex]Pr= 0.002375 +0.002375 +0.002375 + 0.000125[/tex]
[tex]Pr= 0.00725[/tex]
