Answer:
The value of the test statistic is -2.64.
Step-by-step explanation:
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the expected(claimed) mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
An automobile manufacturer claims that its van has a 40.3 miles/gallon (MPG) rating.
This means that [tex]\mu = 40.3[/tex]
After testing 250 vans, they found a mean MPG of 39.9. Assume the standard deviation is known to be 2.4.
This means, respectively, that:
[tex]n = 250, X = 39.9, \sigma = 2.4[/tex]
So
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]t = \frac{39.9 - 40.3}{\frac{2.4}{\sqrt{250}}}[/tex]
[tex]t = -2.64[/tex]
The value of the test statistic is -2.64.
HELPPPP PLEASE!!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
7 - 2 = 5
11 - 3(2)
11 - 6 = 5
4(2) - 3
8 - 3 = 5
C is the only one that doesn't equal 5
x is 16% of 31.25 what is the answer
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation: 31.25 X 0.16=5
how much is 4^7 + 4^7 ÷ 4^5?
Answer:
Answer is 16400
I hope this help you
Help please I will mark brainly answer:))
Answer:
2 times 30.
Step-by-step explanation:
Answer:
im not 100% sure this is right but i hope it helps!
total cost
100 $ for 2 visits
160 $ for 4 visits
190 $ for 5 visits
280 $ for 8 visits
cost per visit
60 $ for 2 visits
120 $ for 4 visits
150 $ for 5 visits
240 $ for 8 visits
Help pls also show work if needed!
Answer:
(4,18); (6,22); (8,26)
Step-by-step explanation:
Plug in the numbers 4, 6, and 8, in for d using the equation.
c=2d+10
c=2(4)+10
c=8+10
c=18
(4,18)
c=2d+10
c=2(6)+10
c=12+10
c=22
(6,22)
c=2d+10
c=2(8)+10
c=16+10
c=26
(8,26)
Answer:
14
18
22
26
Step-by-step explanation:
c = 2d + 10
1st one: substitute 2 for d
c = 2 x 2 + 10
c = 14
2nd one: substitute 4 for d
c = 2 x 4 + 10
c = 18
3rd one: substitute 6 for d
c = 2 x 6 + 10
c = 22
4th one: substitute 8 for d
c = 2 x 8 + 10
c = 26
HELP PLEASE ILL GIVE BRAINLIEST IF I CAN
Victor was designing a new office. Every 2 inches on his scale drawing represented 7 feet on the new office. If the length of the conference room on the scale drawing was 9 inches, how long was the actual conference room?
A. 63 ft
B. 25 ft
C. 31.5 ft
D. 35.5 ft
this is the question down below it also has options to choose
Answer:
Sorry, this answer has been removed and the account has been banned for 17 hours, 19 minutes and 52 seconds
Step-by-step explanation:
Answer:
Were is the problem?
Step-by-step explanation:
What kind of triangle is shown?
I’m sorry for the blurry picture but please help
Answer:
Right scalene
Step-by-step explanation:
Solve the system of equations by any method you choose
-4x-2y=-2
-9x+3y=3
Answer:1. Use substitution to solve the system of equations:
-x + 2y=7
x - 3y = 3
2. Solve the system of equations by the elimination method
a. 2x+ y = -17
x - y = 2
b. 3x + y = -15
x + 2y = -10
Answer:
(0, 1)
Step-by-step explanation:
You can solve this by using the substitution or elimination method. For this problem, I'm going to use the substitution method. First, rewrite -4x-2y=-2 in slope-intercept form, which would be y=-2x+1. Substitute the y value in -9x+3y=3 (which would be -9x+3(-2x+1)=3) and solve.
-9x+3(-2x+1)=3
-9x-6x+3=3
-15x=0
x=0
Now, substitute the x value in for the x in any equation. You can do -4(0)-2y=-2 or -9(0)+3y=3. I'm going to use -9(0)+3y=3.
-9(0)+3y=3
3y=3
y=1
I know but please I need to pass report cards are coming soon
Answer:
D
Step-by-step explanation:
add all sides together and multiply like a regular square and then divide by 2
1
3
This week Andres will practice with his band for 15 hours on Monday, 1 - hours on Tuesday, and 2
2
4
hours on Wednesday. Next week Andres will practice with his band for the same number of hours
on Monday, Tuesday, and Wednesday.
What is the total number of hours Andres will practice with his band over these 6 days?
Answer:
[tex]Total = 104\ hrs[/tex]
Step-by-step explanation:
Given
[tex]Monday = 15\ hrs[/tex]
[tex]Tuesday = 13\ hrs[/tex]
[tex]Wednesday = 24\ hrs[/tex]
Required
Determine the hours of practice over 6 days
First, we calculate the hours for the given 3 days.
[tex]Hours = Monday + Tuesday + Wednesday[/tex]
[tex]Hours = 15\ hrs + 13\ hrs + 24\ hrs[/tex]
[tex]Hours = 52\ hrs[/tex]
The hours of practice for the other three days is also 52 hours.
So, the total is:
[tex]Total = 52\ hrs + 52\ hrs[/tex]
[tex]Total = 104\ hrs[/tex]
Answer:
104
Step-by-step explanation:
A man is climbing up a ladder set against the wall of a house. As he climbs
to the top, the covers the distance of 4 feet horizontally and 10 feet
vertically. What is the ladder's angle of elevation? Determine the answer to
the thousandth degree . *
In 2009 a survey of Internet usage found that 79 percent of adults age 18 years and older in the United States use the Internet. A broadband company believes that the percent is greater now than it was in 2009 and will conduct a survey. The company plans to construct a 98 percent confidence interval to estimate the current percent and wants the margin of error to be no more than 2.5 percentage points. Assuming that at least 79 percent of adults use the Internet, which of the following should be used to find the sample size (n) needed?
a. 1.96 â0.5/n = 0.025
b. 1.96 â0.5(0.5)/n = 0.25
c. 2.33 â0.5(0.5)/n =0.05
d. 2.33 â0.79(0.21)/n= 0.025
Answer:
[tex]0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}[/tex]
Option d.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
79 percent of adults age 18 years and older in the United States use the Internet.
This means that [tex]\pi = 0.79[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.33[/tex].
Which of the following should be used to find the sample size (n) needed?
We have to find n for which [tex]M = 0.025[/tex]
So the equation is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.025 = 2.33\sqrt{\frac{0.79*0.21}{n}}[/tex]
Option d.
Which of the following is a unit fraction?
A. 4/9
B. 15/16
C. 3/8
D. 1/8
Answer:
D. 1/8
Step-by-step explanation:
A unit fraction is a fraction with numerator of 1.
Answer:
D 1/8 Because unit factions always have a one as the numarator
10.6 - 3x when x is equal to 4.5.
Answer:
The answer is 2.6
Hope this Helps!!!
Realiza las siguientes multiplicaciones
a) (+27) ⋅ (+2) =
b) (+12) ⋅ (−13) =
c) (−10) ⋅ (+10) =
d) (−56) ⋅ (+89) =
e) (−100) ⋅ (−135) =
f) (+553) ⋅ (+24) =
Answer:
A 54
b -156
c -100
d -4984
e 13500
f 13272
Which equation shows a correct relation for triangle RSQ?
Answer:
sinQ=cosR
Step-by-step explanation:
First we need to find out the measure of ∠R.
The sum of all the angles in a triangle add up to 180. Therefore:
∠Q+∠R+∠S=180
66+∠R+90=180
∠R=180-156
∠R=24°
Since ∠Q≠∠R, sinQ≠sinR. So the first option is incorrect - let's try the second one.
sinQ=cosR
sin66=cos24
0.9135454576=0.9135454576
So the second equation is the correct relation.
Determine the total surface area of the given triangular prism. Only enter the numeric value of your answer. Do not enter the unit of measure. For example, enter 528, not 528 cm^2. Round all answers to the nearest tenth.
Well if we know the total surface area of thr given triangular prism it would determine how much I need these points.
Answer:
dft
Step-by-step explanation:
hhfhuiygghhjkllkgfdfy
Answer choices:
F. 1/2
G. 2/5
H. 1/10
J. 3/5
Someone answer this question if you know the answer.
Answer: F. 1/2
Step-by-step explanation:
If you add all the bows together, you get 10. The question is asking the probability of just 1 bow. This means you have a 1/10 chance. If you simply that, you end up with 1/2.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
(3,8)
(-3,-8)
(-3,8)
(3,-8)
Answer:
(3,8)
Step-by-step explanation:
THIS IS AN EXAMPLE FOR ANY PROBLEM!!
Get the equation in the form y = ax2 + bx + c.
Calculate -b / 2a. This is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y. This is the y-coordinate of the vertex.
- Good luck!
Give the range of the following data set: 4, 5, 8, 18, 21, 43, 82 *
88
86
78
Option76 4
Answer:
78
Step-by-step explanation:
The range is the difference between the highest and lowest number:
4, 5, 8, 18, 21, 43, 82
The highest number is 82 and the lowest is 4
82 - 4 = 78
The range is 78
Solve for <4.
4 = [?]
O
319
32°
64
Step-by-step explanation:
32+31+x=180
63+x=180
x=117
x= 117 4
2 times x minus 5 is 7. What is x?
Answer:
6
Step-by-step explanation:
take 7 add 5 and then u get 12 so u take half of that and u get 6
Please Help me !!!!!!
You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from ... 10 slices of bread and 20 slices of cucumber
Question:
You are making sandwiches for a large party. Each sandwich has two slices of bread, one slice of turkey, two slices of cheese, three slices of tomato and 5 slices of cucumber. How many sandwiches will you get from 10 slices of bread and 20 slices of cucumber? assuming you have plenty of everything
Answer:
4 sandwiches
Step-by-step explanation:
Given
1 Sandwich contains:
[tex]Bread = 2\ slices[/tex]
[tex]Turkey = 1\ slice[/tex]
[tex]Cheese = 2\ slices[/tex]
[tex]Tomato = 3\ slices[/tex]
[tex]Cucumber = 5\ slices[/tex]
Required
Number of sandwiches from 10 slices of bread and 20 slices of cucumber?
Since we are to assume that every other thing is in abundance, we will only consider the unit amount of bread and cucumber
[tex]Bread = 2\ slices[/tex]
[tex]Cucumber = 5\ slices[/tex]
Express as ratio
[tex]Bread : Cucumber = 2 : 5[/tex]
When the ratio is multiplied by 5, the slice of cucumber (25) will exceed the available slices (20).
So, we multiply by 4
[tex]Bread : Cucumber = 2*4 : 5*4[/tex]
[tex]Bread : Cucumber = 8 : 20[/tex]
This implies that:
8 slices of bread and 20 slices of cucumber are used
Hence:
4 sandwiches can be made
Solve for the value of v: V+27=117
what is the inequalities x<3
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
hope this help you... :) and have a good day
Answer:equal to y
x is equal to y. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥. x>y. x is greater than y.
Step-by-step explanation:
The population of a remote village is about 3 x 102 and the population of the nearest large city is
about 6 x 10%. Determine how many times larger the city population is in comparison to the
village population.
A. 18 x 107
B. 2000
C. 2 x 107
D. 2 x 10
E. 5x102
Answer:
DE
Step-by-step explanation:
HURRY PLEASE
Simplify: 12k - 6 + (3k)(4)
the value of square root of 4/49
Answer:The square root of 4 is 2 . The square root of 49 is 7 .Apr 19, 2015
Step-by-step explanation: