Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Randomly select 10 cars
This means that [tex]n = 10[/tex]
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]
Calculate the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]t = 3.24[/tex]
The test statistic is t = 3.24.
10 POINTS!!!! Which polynomial represents the sum below ?
The answer is in option B.
Answer:
The right answer to this question is B
HALP!!!!!!!!!!!!!!!!!!
If a quadratic function has roots 2 and -7, what are the factors of the function?
What is the correct rule for y, in terms of x?
Answer:
Step-by-step explanation:
The correct rule for y in terms of x is
y = 3x - 4
we can check even
here when x = 1
y = 3 * 1 - 4 = - 1
similarly
when x = 2
y = 3 * 2 - 4 = 2
and so on you can check.
hope it helps :)
Answer:
the rule is y=3x-4
Step-by-step explanation:
m=y2-y1/x2-x1
m=2--1/2-1
m= 3/1
m=3
general equation of a line,
y=mx+c
if y=3x+c
if x=1 y=-1
-1=3+c
-4=c
therefore y=3x-4
Which statements are true about trapezoid ABCD and
its translated image, ABCD? Select two options
3
2
The role for the translation can be written as I
1
3
The rule for the translation can be written as
The rule for the translation can be written as
The rule for the translation can be written as
Trapezoid ABC has been translated 3 units to the
night and 1 on Up
farandi
Answer:
The rule for the translations can be written as T -3,1(x,y).
The rule for translations can be written as (x,y)➡️(x-3,y+1).
Step-by-step explanation:
Answer:
A, and D
Step-by-step explanation:
Took Unit test edge 2022
Could someone pls help?
Determine whether the vertex of the function is a maximum or minimum, and find its coordinates.
f(x) = -2x2 + 32x - 126
Answer:
MAX: (8, 2)
too lazy to write out the solution, sorry.
Answer:
this is what i got -2(x-9)(-7) hope it helps
Step-by-step explanation:
The radius of a circle is 4 kilometers. Use 3.14 for . What is the circle's circumference?
Please explain how you got the answer
Answer:
52.5
Step-by-step explanation:
Find inner square (7 * 7 = 49), then find outer triangles (.5*7=3.5 for both) then u get 52.5 plz mark 5 str, helpfull, and brainliest!
Mr. Duval paid $2,730 to rent a home for 6 months. Ms. Phee paid $5,496 to rent a home for 1 year. Which of the following is true?
Α. Ms. Phee paid $3 less per month than Mr. Duval.
B. Ms. Phee paid $3 more per month than Mr. Duval.
C. Mr. Duval paid $460 per month to rent the home.
D. Ms. Phee paid $455 per month to rent the home.
Answer:
B
$2.730 divided by 6 equals 455
$5,496 divided by 12 equals 458
458-455=3 so the answer is B
15. The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000. Take a random sample of three U.S. women in this age group. What is the probability that at least one of the women has a Chlamydia infection
Answer:
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
Step-by-step explanation:
For each women, there are only two possible outcomes. Either they have a Chlamydia infection, or they do not. The probability of a woman having the infection is independent of any other women. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The Centers for Disease Control and Prevention reports that the rate of Chlamydia infections among U.S. women ages 20 to 24 is 2791.5 per 100,000.
This means that:
[tex]p = \frac{2791.5}{100000} = 0.027915[/tex]
Take a random sample of three U.S. women in this age group.
This means that [tex]n = 3[/tex]
What is the probability that at least one of the women has a Chlamydia infection?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.027915)^{0}.(1-0.027915)^{3} = 0.9186[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.9186 = 0.0814[/tex]
0.0814 = 8.14% probability that at least one of the women has a Chlamydia infection
When an object moves on a circular path, the centripetal force varies directly as the square of the velocity and inversely as the radius of the curve. If the force is 640 lb for a velocity of 20 mi/h and radius of 5 m, find the radius for a velocity of 30 mi/h and a force of 1800 lb.
Answer: I think it's 40
Step-by-step explanation:
I don't know, I just need points. If you take the 640 and divide it by the nearest angular velocity, then square it, then divide by the radius, you get Bolivia
Please help please help please and will mark branliest
Answer:
m=w+6
Step-by-step explanation:
Use 2 points to find the slope, which is 1.
The y intercept is 6
2. Lara collects shark's teeth. She has 72 teeth. She wants to put them in special cases. Each case can hold 10 teeth. How many cases should Lara buy? Draw a picture to find the answer. Then explain how you know your answer is correct.
Answer:
Lara should buy 8 boxes
Step-by-step explanation:
To start we would need to do
72/10
since 72 isn't a multiple of ten we can round it down to 70, then do
70/10=7
since we still have two teeth, we can put them in their own box so
7+1=8
Solve the system of equations 2x - y = 13 and - 3x + 2y = - 18 by combining the equations .
Answer:
2X-Y = 13
-3X+2Y = -18
(2X-3X-Y+2Y) = 13-18
-X +Y= -5
z-(-7)< 5
Solve this inequalities
Answer:
z less than -2
Step-by-step explanation:
z negative times negative is positive and 1 x 7 is 7
z+7 less than 5
z less than 5 - 7 because if a positive number crosses the sign it becomes negative
z less than -2 because 5-7 is -2
Damian is trying to pick out an outfit for the first day of school. He can choose from 3 pairs of pants, 5 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Damian have to choose from? (Don't answer if you don't know and no bots with the fake links pls)
Answer:
64 outfits I think.
Step-by-step explanation:
The number of the different outfits do Damian have to choose is 600.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order.
Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
Different outfits do Damian have to choose, will be;
⇒3C₁×5C₁×8C₁×5C₁
⇒3×5×8×5
⇒600
Hence,the number of the different outfits do Damian have to select is 600.
To learn more about the permutation and combination, refer:
https://brainly.com/question/13387529
#SPJ2
Find 0% of 200:
Find 100% of 200:
Find 50% of 200:
Find 25% of 200:
Find 75% of 200:
Answer:
0
200
100
50
150
Step-by-step explanation:
0% of 200 = 0
100% of 200
= ( 100 / 100 ) x 200
= 1 x 200
= 200
50% of 200
= ( 100% of 200 ) / 2
= 200 / 2
= 100
25% of 200
= ( 50% of 200 ) / 2
= 100 / 2
= 50
75% of 200
= ( 75 / 100 ) x 200
= ( 75 x 200 ) / 100
= 75 x 2
= 150
What are the coordinates of point (-2, -4) after a 180 degree rotation?
Answer:
(2, 4)
Step-by-step explanation:
Anytime you rotate a point 180° about the origin, the x-coordinate and y-coordinate become their opposites.
(x,y) becomes (-x,-y)
A mans basic wage for a 40 hour week is 160 . He is paid 5 per hour for overtime .If he fors for 6.5 hours overtime in a certain week , his wages for that week is
Answer: $192.50
Step-by-step explanation:
wages for 40 hrs + wages for overtime work
$160.00 + 6hrs × $5.00 + $2.50 (1/2 hrs)
$192.50
Credit: anjalijalan3126
Given g(x) = -5x – 4, solve for x when g(x) = 1.
Answer:
g (1) = -5(1) -4
-5-4
-9............. .......
Step-by-step explanation:
-5(1)-4=-5-4=-9 Answer
hope it helps
help please i need it asap! thank tou
Answer:
X = 3
Step-by-step explanation:
x= 6 x 1/2
please please i need help i will mark u brill
Answer:
Step-by-step explanation:
65÷b+8×4=20
Put the value of b=5 in equation
65÷5+8×4=20
According to BDMAS rule
13+32=20
45=20
Bring the terms on one side
45-20=25 Answer
Answer:
false
Step-by-step explanation:
use bidmas :)
ok, let's rewrite this for b = 5
65 ÷ 5 + 8 × 4 = 20
now put brackets
(65 ÷ 5) + (8 × 4) = 20
(13) + (32) = 20
13 + 32 = 45
45 ≠ 20
false
hope this helped and good luck!
-cheesetoasty
The Colvilles are buying a new car. The cash price is $35,000.00. They will make a down payment of 20% or $5,000. The balance will be covered by an installment loan. The loan will be repaid in 48 monthly payments of $651. The annual percentage rate for the loan is
%. (Round your answers to two decimal places.)
9514 1404 393
Answer:
2.01% for a down payment of $5000
5.49% for a down payment of 20%
Step-by-step explanation:
There is no formula for the APR of a loan, given its other parameters. The value must be found using iterative or graphical means. The attached shows a graphical solution for each of the two cases for a 4-year loan.
For 20% down payment, APR ≈ 5.49%
For $5,000 down payment, APR ≈ 2.01%
Answer:
2.01% for a down payment of $5000
5.49% for a down payment of 20%
Step-by-step explanation:
12 + 22 u = PLS HELP
Answer:
34
Step-by-step explanation:
Round yo The nearest ten 834,692.
Help me please!!
834,692
If the number is less than 5, you keep the the 90 the same.
If the number is more than 5, the new number would be 834,700.
The answer is
834,690whats the oposite if -5 ?
how do nurses utilize a quadratic equation and example
Answer:
Nurses use the quadratic equation for calculating the dosage of the patients, calculating drip rates, conversion between the systems, drug titration, and more.
Step-by-step explanation:
Nurses with an order to "give 750 mg every 4 hours as needed for pain" may receive 250 mg tablets from the pharmacy, requiring them to calculate the number of pills to administer. They also need to calculate the amount of medicine to give when drawing up liquid medicine for injection. In order to give 7.5 mg must be compared to the vial, which states, "5 mg per cc." Some medication orders require the nurse to calculate the dosage based on the patient's weight.
Quadratic equations are applicable in nursing particularly in the aspect of drug and dosage administration.
Dosage of drugs or other medications usually have units of measurement which are to be administered with respect to factors such as time and weight of the patient. Therefore, the required dosage which will be administered with respect to time and weight can be expressed as a quadratic function.A scenario whereby, a nurse is supposed to administer 20 mg of medication to 5 patients weighing 20 pounds above a certain weight. The stipulated weight can be calculated using a quadratic equation.Therefore, quadratic equations are applicable in nursing particularly in dosage administration.
Learn more :https://brainly.com/question/17177510?referrer=searchResults
Which of the following triangles can be proven similar through AA?
2. A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the
water and the water rises 3.4 cm. Find the volume of the stone.
Answer:
This answer is A
Step-by-step explanation:
Answer:
Subtraction. 10.6 is your answer.
Step-by-step explanation:
14 - 3.4 = 10.6
subtract the rock's volume from the volume of the water.
\Ih -what is the square root of 14161
Answer:
The answer is 119
Step-by-step explanation:
Answer:
119
Step-by-step explanation:
There is a reason why the answer is 119
First, lets take a look at your perfect squares chart ( by tens )
10 x 10 = 100
20 x 20 = 400
30 x 30 = 900
40 x 40 = 1600
50 x 50 = 2500
60 x 60 = 3600
70 x 70 = 4900
80 x 80 = 6400
90 x 90 = 8100
100 x 100 = 10000
110 x 110 = 12100
120 x 120 = 14400
we know that 12100 < 14161 < 14400, so it has to be in between the square root of 110 and the square root of 120
111 x 111 = 12321
112 x 112 = 12544
113 x 113 = 12769
114 x 114 = 12996
115 x 115 = 13225
116 x 116 = 13456
117 x 117 = 13689
118 x 118 = 13924
119 x 119 = 14161
We found out that the square root of 119 = 14161
Therefore, the square root of 119 = 14161
If you want to find out a quicker way to do this, comment me below
