Answer:
the test statistic is 0.48
Step-by-step explanation:
Given that;
sample size n = 15
slope of regression b1 = 1.24
Standard of error SE = 2.59
now,
The hypothesis;
Null hypothesis H₀ : B1 = 0
Alternative hypothesis H₁ : B1 ≠ 0
If there is significant relation between variable x and dependent variable y, the slope will not be equal to zero.
Test Statistic
t = b1 / S.E
we substitute
t = 1.24 / 2.59
t = 0.4787 ≈ 0.48
the test statistic is 0.48
The time taken by Nick to do his statistics homework follows a normal distribution with a mean of 25 minutes and a standard deviation of 5 minutes. Jasmin’s homework time also follows a normal distribution with a mean of 50 minutes and a standard deviation of 10 minutes. They hate each other’s guts and never work together so we can assume that Nick’s homework completion is independent of Jasmine’s homework completion.
a) Define the random variable D to be the difference between the amount of time spent on a randomly selected assignment of Jasmin’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.
b) Calculate the probability that Nick spent longer doing his assignment than Jasmin did. Show your method clearly.
Answer:
a) Mean of D = -25
Standard deviation of D = 11.18
b) P(N > J ) = 0.9875
Step-by-step explanation:
Given - μₙ = 25, σₙ = 5 , μₐ = 50 , σₐ = 10
where μₙ is mean of nick and μₐ is mean of jasmine
σₙ = 5 is standard deviation of nick and σₐ is standard deviation of jasmine
To find - a) Define the random variable D to be the difference between the amount of time spent on a randomly selected assignment of Jasmine’s and a randomly selected assignment of Nick’s. So D = N – J. Find the mean and the standard deviation of D.
b) Calculate the probability that Nick spent longer doing his assignment than Jasmine did. Show your method clearly.
Proof -
a)
Mean of D = Mean of nick - Mean of jasmine
= 25 - 50 = -25
standard deviation of D = √Standard deviation of Nick + jasmine
= √5² + 10² = √25 + 100 = √125 = 11.18
∴ we get
Mean of D = -25
Standard deviation of D = 11.18
b)
We have to find - P(N > J)
If N > J , then D > 0
Now,
The z-score is expressed as
z = [tex]\frac{0 - (-25)}{11.18} = \frac{25}{11.18} = 2.24[/tex]
Now,
P(N>J) = P (D > 0) = P(Z < 2.24)
= 0.9875
⇒P(N > J ) = 0.9875
For f(x) = 2x+1 and g(x) = x2 – 7, find (f/g)(x)
Step-by-step explanation:
Since f(x) is "2x + 1" and g(x) is "x2 - 7" then f(x) + g(x) [which is the same as (f + g)(x)] is "2x + 1" + "x2 - 7" which is 2x + 1 + x2 - 7 or x2 + 2x - 6
So (f + g)(x) = x2 + 2x - 6
is it right? i hope it is
A bookstore carries 70 magazines. 70% of the magazines are women's magazines. How
many women's magazines does the bookstore carry?
Answer:
49
Step-by-step explanation:
70% of 70 = 0.7 × 70 = 49
A line has a slope of 2. It passes through the points, (1,2) and (3,y) . what is the value of y?
Answer:
y=6
Step-by-step explanation:
y=mx+b
y=2x+0
the y-intercept is at the origin so going off that when you go to put your line on a graph you come off with the points (0,0) (1,2) (2,4) and finally your answer (3,6)
Find the value of x
PLEASE HELP!!
Answer:
x =45
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
3x+45 = 180
Subtract 45 from each side
3x+45-45 =180-45
3x= 135
Divide by 3
3x/3 = 145/3
x =45
2) 1) A 6 ft tall lawn ornament standing next to a baby elephant casts a 18 ft shadow. If the baby elephant casts a shadow that is 12 ft long, then how tall is it?
Answer: 4 feet.
Step-by-step explanation:
Proportion from lawn ornament to its shadow = 6ft : 18ft = 1 : 3
Proportion from baby elephant to its shadow = x : 12ft
These proportions have to be equal, because if it is the same time of day, the different object's shadows will have the same proportions.
In order to solve this problem, we need to cross multiply. (Attached image)
So, 3x = 12.
By solving this equation, we find that x = 4
The height of the baby elephant is 4 feet.
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
PLEASE HELP! INVERSE QUESTION!
Last one.
Hope this helps.
For the given functions f and g, find the requested composite function value.
f(x) = x - 8
x , g(x) = x2 + 6; Find ( g H f)(-2).
Answer:
106
Step-by-step explanation:
Composite function:
A composite function is represented by:
[tex](g \circ f)(x) = g(f(x))[/tex]
In this question:
[tex]f(x) = x - 8[/tex]
[tex]g(x) = x^2 + 6[/tex]
[tex](g \circ f)(x) = g(f(x)) = g(x-8) = (x-8)^2 + 6[/tex]
Find ( gof)(-2).
When x = -2. So
[tex](g \circ f)(-2) = (-2-8)^2 + 6 = (-10)^2 + 6 = 100 + 6 = 106[/tex]
The answer is 106.
Mrs. Melanie Lazo pays Php 15.75 for each hair clip to its supplier. She decided to adds markup of Php 3.15. What is the markup rate?
Answer:
the answer to the problem is 20.8%
What is the solution to the equation?
Answer:
32.13
Step-by-step explanation:
g = 15.3 x 2.1 = 32.13
Answer:
g= 15.3 *2.1= 32.13
Hence answer is 32.13
can someone help :(!
Answer:
452.16 I'm pretty sure..
Answer:
A=452.16 mm
Step-by-step explanation:
A=πr^2
A=π12^2
A=π144
A=452.16 mm
Make x the subject of the formula a = b x + c
Answer:
[tex] x = \frac{a - c}{b}[/tex]
Step-by-step explanation:
[tex]a = bx + c \\ \\ a - c = bx \\ \\ \orange{ \bold{x = \frac{a - c}{b}}} [/tex]
what is the value of 1/3x squared + 5.2y when x=3 and Y=2
Answer:
13.4
Step-by-step explanation:
1/3(3²) + 5.2(2) = 3 + 10.4
how to figure the surface area
Answer:
i donk know about this sooooooo sorry
Step-by-step explanation:
jjzkz
Find the perimeter of the shape on this centimetre grid.
Answer:
the perimeter is 16
Step-by-step explanation:
The computation of the shape on this centimeter grid is shown below:
As we can see in the attached figure that the some portion is highlighted
So if we count that
like
So after counting it comes 16
Therefore the perimeter is 16
What percent of 30 is 24
Answer:
80%
Step-by-step explanation:
Answer:
80
Step-by-step explanation:
*you can use calculator to divide
KEVIN USES EACH OF THE DIDGETS 5,7,4 AND 9, ONCE AND ONCE ONLY. TO MAKE FOUR DIDGET NUMBERS. WHATS THE LARGEST AND SMALLEST NUMBER HE CAN MAKE?
Answer:
9754 and 5794
Step-by-step explanation:
Answer:
Largest - 9,754
Smallest - 4,579
Step-by-step explanation:
please help its practice i really need it
Answer:
1/5
Step-by-step explanation:
Fine floors can install 15 square yards of carpeting in 4 hours and 30 minutes. At this rate, how long would it take to install carpet in a room that measures 11 feet 9 inches by 13 feet 4 inches?
Answer:
5 hours and 13 minutes
Step-by-step explanation:
Hope this helps!! Please mark brainlliest.
b is 30 more than a. b is 6 times as many as a. Find the values of a and b.
Answer:
a = 6 and b = 36
Step-by-step explanation:
Set up equations:
b = 30 + a
b = 6a
Subtract the two equations:
b = 6a
- (b = 30 + a)
5a - 30 = 0
5a = 30
divide both sides by 5
a = 6
Plug a = 6 into the original equation:
b = 30 + 6
b = 36
you could also do:
b = 6 * 6
b = 36
Answer:
Step-by-step explanation:
Factor Completely:::
Answer:
6x²+27x+24
3(2x²-9x+8)
You are charged $9.2 in total for a meal. Assuming that the local sales tax is 7.7%, what was the menu price of this item?
Answer:
9.91
Step-by-step explanation:
A circular placemat has 44 inches of braid around the edge. What is the area of the placemat to the nearest square inch? Use 3.14 for π.
Answer:
153.86 in^3
Step-by-step explanation:
Given data
A circular placemat has 44 inches of braid around the edge
hence the circumference of the placemat is 44 in
C= 2πr
44= 2*3.14r
r= 44/2*3.14
r= 44/6.28
r= 7.00 in
Area= πr^2
Area= 3.14*7^2
Area= 3.14*49
Area= 153.86 in^3
Hence the area is 153.86 in^3
Why is California at higher risk for earthquakes than North Dakota
( Also i know this isnt math but people answer faster when its in math )
Answer:
Step-by-step explanation:
Because calfornia is right next to Ocean
Rudolfo wants to save his allowance in his own bank account. Given that his principal amount ₱20 000 with 1.5% monthly interest rate. How much will Rudolfo receive on the second month of his investment? *
A. ₱20,300.00
B. ₱20,500.00
C. ₱20,600.00
D. ₱20,800.00.
Answer:
Step-by-step explanation:
P = 20,000
R= 1.5
T= 2 years
A = P(1+ R/100) ^ n
Kelsey uses the similarity statement Triangle R S T is similar to triangle R U V to describe the triangles below.
Triangle R U V. Side V R is 4 centimeters, R U is 1.5 centimeters, and V U is 2.7 centimeters. Triangle R S T. Side R S is 3.0 centimeters, R T is 8.0 centimeters, and S T is 5.4 centimeters.
Which best describes the accuracy of her statement?
Accurate. Each pair of sides corresponds with a common ratio of 2.
Accurate. The description of each triangle begins at the same vertex.
Inaccurate. In the order listed, the ratio between each pair of sides is different.
Inaccurate. The description of the triangles in the similarity statement moves clockwise in one triangle and counterclockwise in the other triangle.
Answer:
A
Accurate. Each pair of sides corresponds with a common ratio of 2.
Step-by-step explanation:
edge 2021
Each pair of sides corresponds with a common ratio of 2. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
If two figures have three sides similar then they will be similar by side-by-side property which is written as SSS.
Given that Triangle R U V. Side V R is 4 centimetres, R U is 1.5 centimetres, and V U is 2.7 centimetres. Triangle R S T. Side R S is 3.0 centimetres, R T is 8.0 centimetres, and S T is 5.4 centimetres.
The two triangles have a common ratio of 2.
R U = 1.5 cm
R S = 3.0 cm
V R = 4 cm
R T = 8.0 cm
The correct option is A.
To know more about similarities follow
https://brainly.com/question/24184322
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remi and vishal start at the same point and begin jogging in different directions. remi is jogging east at a speed of 4 miles per hour. vishal is jogging South at a speed of 2 miles per hour. after how many hours will they be exactly 12 miles apart
Answer:
2.68 hours
Step-by-step explanation:
If the points on a graph of a linear function are (-2,10 (0,4) (2,-2) and (4,8) what is the y-intercept
Answer:
i think 5
Step-by-step explanation:
Mike spent 11/12 hour talking on his cell phone. Brent spent 7/12 hour talking on his cell phone. How much more time did mike spend on his cell phone than Brent?
Write in the simplest form. Be sure to put your answer as well as the unit (hour).
Answer:
1/3
Step-by-step explanation:
2 3/15 rounded to the nearest half
Hi there!
Answer:
2.5/5
Step By Step Explanation:
Given function:
2 3/153/15=1/51/5=nearest half=2.5/5Therefore, 2 3/15 rounded to the nearest half is 2.5/5.
Answer:
2
Step-by-step explanation:
:)
