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.
Select the correct answer.
Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?
A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.
Find the missing dimension of the prism.
Answer:
10
Step-by-step explanation:
To find volume you have to multiply all 3 sides 7*8*x=560 = 56*x=560 we divide it by 56 and get x=10
(-10) + 3 please help
Answer:
The answer is -7 the answer is-7
Answer:
-7
Step-by-step explanation:
(-10)+3
-10+3=-7
-4-6=-10
-10+7=-3
An airport has an electronic system that randomly selects bags for extra security screening. Each bag has a 14% percent probability of being selected for extra screening, and one bag being selected or not doesn't affect whether or not another bag will be selected. Suppose that 222 bags go through the system, one after the other. What is the probability that both bags are selected for extra screening? Round your answer to two decimal places.
Probabilities are used to determine the chances of an event.
The probability that the two bags are selected for extra screening is 0.02
The given parameters are:
[tex]n = 2[/tex] --- number of bags
[tex]p = 14\%[/tex] --- the probability that a bag is selected for extra screening
The probability that the two bags are selected for extra screening is:
[tex]P(2) = p^n[/tex]
So, we have:
[tex]P(2) = (14\%)^2[/tex]
Express percentage as decimal
[tex]P(2) = (0.14)^2[/tex]
[tex]P(2) = 0.0196[/tex]
Approximate
[tex]P(2) = 0.02[/tex]
Hence, the required probability is 0.02
Read more about probabilities at:
https://brainly.com/question/11234923
Answer:
0.02 i did khan academy pls mark brainliest
Step-by-step explanation:
Anna drives her car at a speed of 70 km per hour. How much distance will she cover in 3 hours 30 minutes?
Distance» [tex]speed \times time[/tex]
Distance» [tex]70 \times \frac{7}{2} [/tex]
Distance» [tex] \frac{490}{2} [/tex]
Distance» 245
Answer:
245 units
Step-by-step explanation:
Anna drives her car at a speed of = 70 kmph
To Find:
How much distance will she cover in 3 hours 30 minutes.
Solution:
We'll use here the formula of Speed,then plug the values which are given.
Speed = Distance/Time
Speed = 70 kmphDistance = 3 hr 3 mins = 7/2 hrs70 = D/7/2
7/2*70 = Distance
7*35 = Distance
Distance = 245
We can conclude that Anna can cover 245 units in 3 hrs 30 mins.
Math 1 Graded Assignment Unit Test, Part 21 Polynor
(Score for Question 3:___ of 5 points)
3. Multiply the polynomials (+3a-7) and (24 - a + 4). Simplify the answer. Show your work.
Answer:
Answer:
9a-3
Step-by-step explanation:
a^2=2a+3a=5a-7+4=5a-3+(4a-a)=3a+5a=9a-3
If y varies directly as x and as the square of z, and y =25/9 when x=5 and z=1, find y when x =1 and z=4
Answer:
y= 80/9
Step-by-step explanation:
Given
" y varies directly as x" and "as the square of z" so y = x* z²* some number
if y =25/9 when x= 5, z= 1 and y = x*z²* some number
then 25/9 = 5 * 1² * some number
5*(5/9) = 5 * some number
therefore y = x* z²* (5/9)
y= ? when x=1 , z= 4
y = x * z² * (5/9)
y = 1 * 4² * (5/9)
y = 16*5 / 9
y = 80/9
Solve for x: 1 < x + 3 < 4
4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
100 points!!!
Answer:
Solve for x: x < 1
Step-by-step explanation:
♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.4 years, and standard deviation of 1.2 years.
If you randomly purchase one item, what is the probability it will last longer than 3 years?
Round answer to four decimal places
Answer: bro im sorry ion no but ima look it up lol
Step-by-step explanation: it is what it is
IGNORE THE BOTTOM ONE PLEASE HELP
Answer:
see explanation
Step-by-step explanation:
∠ A and ∠ FCE are corresponding angles and are congruent , then
∠ A = 150°
∠ FCE and ∠ C are vertically opposite angles and are congruent , then
∠ C = 150°
∠ FCE and ∠ ECB are adjacent angles on a straight line and sum to 180°
∠ ECB = 180° - ∠FCE = 180° - 150° = 30°
∠ E = 180° - (30 + 45)° ← sum of angles in a triangle
∠ E = 180° - 75° = 105°
∠ CBE and ∠ D are same- side interior angles and sum to 180° , then
∠ D = 180° - 45° = 135°
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer:
722 kg
Step-by-step explanation:
551:29=x:38
551*38=29x
20938/29=x
x=722 kg
I really need this last question please anyone's help is very appreciated
Answer:
y = (5/2)x + 13/2
y = 3
y = -2x + 6
Step-by-step explanation:
The left part of the function which is a line sloping up to the right contains points (-3, -1) and (-1, 4) which can be read off the graph.
Since we have two points, we can find the equation.
You can use the slope formula given two points, but I will read it off the graph with rise and run.
Go from point (-3, -1) to point (-1, 4) by going up 5 (the rise) and going right 2 (the run).
slope = rise/run = 5/2
y = mx + b
y = (5/2)x + b
Use point (-1, 4) for x and y and solve for b.
4 = (5/2)(-1) + b
8/2 + 5/2 = b
b = 13/2
y = (5/2)x + 13/2
This is the first answer.
The middle part is a horizontal line in which every point has y-coordinate 3.
The equation is:
y = 3
This is the second answer.
The right part is the line that slopes down to the right. We can read two points easily. Use points (3, 0) and (2, 2).
Start at (3, 0). Go left 1 (run of -1) and up 2 (rise of 2). Now you are at point (2, 2).
slope = rise/run = 2/(-1) = -2
Now we find the y-intercept on the graph. After you get to (2, 2), keep moving with the same run and rise of the slope. Go left 1 and up 2 to point (1, 4). Go again left 1 and up 2 to (0, 6). Point (0, 6) is on the y-axis, so it is the y-intercept.
b = 6
y = mx + b
y = -2x + 6
This is the third answer.
1. Which of the following should you do first when solving the equation 3x + 2 = 4x – 5(x + 6)?
A. divide both sides by 3
B. subtract 2 from both sides
C. distribute the - 5 through the parenthesis (x+6)
D. subtract 4x from both sides
Answer:
(x+6)
Step-by-step explanation: remember gemdas
Groups
Exponents
Multipy
Divide
Add
Ssubtract
Fill the table so it represents a linear function
Answer:
Hey mate.....can't see the attached picture....please check again
Answer:
what table??
Step-by-step explanation:
cuanto es 21:45 dividido a 7:15?
Answer:
Entraría 3 veces.
Step-by-step explanation:
Podemos probar esto encontrando el máximo común divisor entre 21 y 45
21: 1,3,7,21
45: 1,3,5,9.15,45
Encontramos que 3 es el máximo factor común. Entonces dividimos ambos números por 3. Para obtener 7:15.
A repair team is responsible for a stretch of oil pipeline 2 miles long. The distance (in miles) at which any fracture occurs can be represented by a uniformly distributed random variable, with probability density function f(x) = 0.5.
What is the probability that the next fracture will occur in the last half mile of the two mile interval?
Using the uniform distribution, it is found that there is a 0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.
The uniform distribution has two bounds, a and b.
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, the distribution is uniform over 2 miles, thus [tex]a = 0, b = 2[/tex].
The probability of a failure on the last half-mile is P(X > 1.5), thus:
[tex]P(X > 1.5) = \frac{2 - 1.5}{2 - 0} = 0.25[/tex]
0.25 = 25% probability that the next fracture will occur in the last half mile of the two mile interval.
A similar problem is given at https://brainly.com/question/17088600
susan and teo play soccer susans team plays every five days and teos team plays every six days when will they play on the same day
Answer: On day 30
Step-by-step explanation:
1. skip count by both 5 and 6 and look for the first number they have in
common 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
6, 12,18, 24, 30, 36, 42, 48, 54, 60
30 is the first number in common
what is 200 x 300 kakakkakakakakkaakkkak
Answer:
60000 ty ..............
Answer:
60000
..............
what a difficult question !!! Do not ask such difficult questions ..lol
Find the least common denominator (LCD) of 5/8
and 1/4
Answer:
8
Step-by-step explanation:
1. 1/4 × 2/2 = 2/8 (denominator is 8)
2. 5/8 × 1 = 5/8 (denominator is 8)
Therefore, the common denominator is 8.
(-6,7) (0,3)
I'm having treble finding the slop I need the sem
Did you use the formula
gradient =
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
??
I'm not shear but i think that run to -6 then 3 is the correct sorry am learning it
In ΔPQR, r = 640 inches, q = 310 inches and ∠Q=30°. Find all possible values of ∠R, to the nearest degree.
Answer:
No Possible Triangles
Step-by-step explanation:
sinA/a = sinB/b
From the reference sheet (reciprocal version).
sinR/640 = sin30/310
Plug in values.
sinR= (640 (sin30))/ 310≈1.0322581
Evaluate.
R=sin −1 (1.0322581)=ERROR
Sine cannot be greater than 1.
Simplify
8/9
____
5/6
Answer: 16/15
decimal: 1.0666
mixed number: 1 1/15
Step-by-step explanation:
A tugboat goes 72 miles upstream in 9 hours. The return trip downstream takes 4 hours. Find the speed of the tugboat without a current and find the speed of the current.
Step-by-step explanation:
72÷9= 8, so the boat was only doing 8mph going upstream (against the current) the return trip downstream only took 4 hours. 72÷18=4 meaning the boat was traveling at 18mph downstream (no current) there is a 10mph difference between upstream and downstream therefore the current had to be running at 10 mph. so the speed of the tug boat is 8mph without a current and the current is running at 10mph.
Please someone draw where these are supposed to go on paper (WILL MARK BRAINLEST)
Answer:
youre not pretty jjdbfjjfkdksjsjd
I bought 3,000,000 shares at .000007. what would my gain be if it reached .01 .
If 1 share had an initial cost of $0.000007, then 3,000,000 shares would be worth
(3,000,000 shares) × ($0.000007/share) = $21
If the price increases to $0.01 per share, then the same number of shares would have a value of
(3,000,000 shares) × ($0.01/share) = $30,000
So you've gained a net profit of $30,000 - $21 = $29,979, which corresponds to a
$29,979 / $21 = 1,427.57 = 142,757%
increase in value.
a(b+c)=a(d-e) solve for b
Answer:
b = - c + d - e
abcdefghijklmnopqrstuvwxyz
El cuadrado de un número es igual a 140 + 4
Answer:
12
Step-by-step explanation:
140 + 4 = 144
raíz cuadrada de 144 es 12
percent change of 3.25 to 2.95
Answer:
-9.23%
Step-by-step explanation:
.
solve inequality: |7x+15|>-0.5
9514 1404 393
Answer:
true for all values of x
Step-by-step explanation:
The absolute value of a linear function is always at least 0, so is always greater than -0.5. The inequality is true for all real numbers.
I need super help with this one.
Which expression is equivalent to 8k+10+9k+1?
-k+11 18k+10
-k+9 or 11+17k
Answer:
[tex]8k + 10 + 9k + 1 = k(8 + 9) + (10 + 1) \\ = 17k + 11[/tex]