Answer:
Car A gets 19 miles per gallon while Car B gets ~17.8 miles per gallon. Car A gets better mileage.
Step-by-step explanation:
A piece of paper measures 8.5 inches by 11 inches. Mrs. Wickowitz wants to hang paper on a bulletin board that has a height of 24 inches and an area of 1,728 square inches. Which inequality best represents the possible whole number of papers, p, that Mrs. Wickowitz could hang.
Please help I'm so confused
Answer:
(-2, -4), (-1, -1), (0, 0), (1, -1), (2, -4)
Step-by-step explanation:
You plug in x values to get the y values are dot-in the points!
y = -x^2
You plug in -2 and get -(2)^2 = -(4) = -4
Same thing with all other values.
Do I multiply to solve
Answer:
Yes you do btw the answer is 1/2
Step-by-step explanation:
Combine Like Terms for this expression.
7y + 2y
answer:
9y
step-by-step explanation:
add 7 and 2 = 9 then add the y
Suppose that U is an infinite universal set, and A and B are infinite subsets of U . Answer the following questions with a brief explanation. Must A c be finite? Must A ∪ B be infinite? Must A ∩ B be infinite?
Answer:
A c must not be finite.
A ∪ B must be infinite.
A ∩ B must not be infinite.
Step-by-step explanation:
Must A c be finite?
Suppose
U = {....-4,-3,-2,-1,0,1,2,3,4.......}
A = {....-4,-2,0,2,4.......} which is infinite set
B = {....-3,-1,0,1,3.......} which is also infinite set
So We need to calculate the A compliment
[tex]A^{c}[/tex] = U - A = {....-4,-3,-2,-1,0,1,2,3,4.......} - {....-4,-2,0,2,4.......} = {....-3,-1,0,1,3.......}
Hence [tex]A^{c}[/tex] is also an infinite set.
The statement "Must A c be finite?" is incorrect.
Must A ∪ B be infinite?
In AUB all the elements of set A and set B are combined into a single set to get the union of A and B. If A and B are the infinite set then their union must also be an infinite set because all the elements of infinite sets will be there so the union of these infinite sets will also be an infinite set.
The Statement "Must A ∪ B be infinite?" is correct.
Must A ∩ B be infinite?
In A∩B the common elements of both sets will be the answer to the intersection of A and B set. If we consider the A and B are the infinite subsets of a Universal set that carry all the elements then there will not be any common element in both sets A and B.
The Answer of A∩B is { } or empty set.
The statement "Must A ∩ B be infinite? " is incorrect.
Compute the sample variance for the following scores: 25, 36, 41, 28, 29, 32, 39, 37, 34, 34, 37, 35, 30, 36, 31, 31
Answer:
Step-by-step explanation:
From the given information:
The mean [tex]\hat x = \dfrac{\sum x}{n}[/tex]
[tex]\hat x = \dfrac{25+36+41+28+29+32+29+37+34+34+37+35+30+36+31+31}{16}[/tex]
[tex]\overline{x} = \dfrac{535}{16}[/tex]
[tex]\overline{x} = 33.44[/tex]
The sample variance is as follows:
[tex]S^2 = \dfrac{\sum dx^2 - ( \dfrac{\sum dx)^2}{n} )}{n-1}[/tex]
[tex]S^2 = \dfrac{279- ( \dfrac{7}{15} )^2}{15}[/tex]
[tex]S^2 = 18.585[/tex]
Select the correct product
(x2+4) (x2-4)
x4 16
x4+16
x2+8x+16
x2 8x 16
Answer:The answer would be x^4 -16
Explanation: use the FOIL method.
(x^2 +4)(x^2 -4)= x^4 +4x -4x -16. 4x and -4x cancel each other out. You are left with x^4 -16.
F- irst
O- uter
I- nner
L- ast
Step-by-step explanation:Hope this helps
A National Retail Federation survey found households intend to spend an average of $469 during the December holiday season. Assume that the survey included 600 households and that the sample variance was $375. Calculate the margin of error for a 99% confidence interval.
Answer:
The margin of error for a 99% confidence interval was of $1.84.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.005 = 0.995[/tex], so [tex]z = 2.325[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation(square root of the variance) and n is the size of the sample. In this question, [tex]\sigma = \sqrt{375}, n = 600[/tex]
So
[tex]M = z*\frac{\sigma}{\sqrt{n}} = 2.325\frac{\sqrt{375}}{\sqrt{600}} = 1.84[/tex]
The margin of error for a 99% confidence interval was of $1.84.
What is the multiplier of 2.5% of an amount
Answer: 8x3 to the 6th degree minus 4th5 odd one under.
Step-by-step explanation:
Answer:
Most likely 0.025
Verified with calculator :)
How do I get the answer?
Answer:
Step-by-step explanation:
im so unfused what subject if yall ask a question putt the subject
You have a box of chocolates (30 chocolates in the box). 15 are filled with caramel, 10 are filled with chocolate, and 5 are filled with cream. You and a friend pick a chocolate at random. What is the probability that you both pick chocolate
Answer:
10.34% probability that you both pick chocolate
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, it is not important if you or your friends picks first. So we use the combinations formula to find the number of desired and total outcomes.
Combinations Formula:
[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]
Desired outcomes:
10 are filled with chocolate, and we want to pick 2. So
[tex]D = C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Total outcomes:
The box has 30 chocolates, and 2 are picked, so:
[tex]T = C_{30,2} = \frac{30!}{2!(30-2)!} = 435[/tex]
Probability:
[tex]P = \frac{D}{T} = \frac{45}{435} = 0.1034[/tex]
10.34% probability that you both pick chocolate
Which pair of arrows doesn't belong?
Answer:
I don't understand wat u said
I GIVEEEEEE BRAINLILSTTTTTT
Answer:
well then try to reinvert it an then x + - an divied it see how easy
Step-by-step explanation:
The ratio of cups of grape juice to cups of orange juice to make fruit punch is 5:3 you are making a batch and will use 10 cups of grape juice
Suppose that two electronic components in the guidance system for a missile operate independently and that each has a length of life governed by the exponential distribution with mean 3 (with measurements in hundreds of hours). Find the probability density function for the average length of life of the two components.
Answer:
attached below
Step-by-step explanation:
Assuming that Y1 and Y2 are independent exponential random variable with mean 3
where : U = Y1 + Y2 applying the property of exponential distribution sum of exponentials will follow a gamma distribution
i.e. ∝ = 2 , and β = 1
note : U = 2X
Hence probability distribution function X =
Fx (x) = p( X ≤ x )
= p( U ≤ 2x )
= Fu (2x)
probability density function X
f (x) = [tex]\frac{dF(2x)}{dx}[/tex] = 2 Fu (2x)
attached below is the remaining part of the solution
In this exercise we have to use probability knowledge to calculate the density of the function, so we have to:
[tex]f(u) \left \{ {{ue^u: u>0} \atop {0}} \right.[/tex]
[tex]f(x) \left \{ {{4xe^{-2x}: x>0} \atop {0}} \right.[/tex]
Assuming that [tex]Y_1[/tex] and [tex]Y_2[/tex] are independent exponential random variable where:
[tex]U = Y_1 + Y_2[/tex]
Applying the property of exponential distribution sum of exponentials will follow a gamma distribution, we have:
[tex]\alpha = 2[/tex][tex]\beta = 1[/tex] [tex]U = 2X[/tex]
Hence probability distribution function X , will be:
[tex]F_x (x) = p( X \leq x )\\= p( U \leq 2x )\\= F_u (2x)[/tex]
So we can say that:
[tex]f (x) = \frac{dF}{du} = 2 F_u (2x)[/tex]
See more about probability at brainly.com/question/795909
A chemical compound requires 8 ounces of chemical A and 12 ounces of chemical B. A mixture contains 24 ounces of chemical A and 30 ounces os chemical B. How can you fix the mixture to make the chemical compound.
Answer:
By adding 6 ounces of chemical B in the mixture
Step-by-step explanation:
Ratio of chemical A and B in compound
A/B=8/12
Ratio of chemical A and B in mixture
A/B=24/30
if we add 6 in denominator
A/B=24/36=8/12
1. AB = 32
BE = 6x + 8
Answer:
x = 4
Step-by-step explanation:
6x + 8 = 32
6x = 32 ‐ 8
6x = 24
x = 24/6
x = 4
There are 3 people in a room, and we are curious whether two of them have their birthday in the same month. We record the triplet that describes the month of birthday for each person. E.g. (Oct, Jan, Jul) is one possible triplet/outcome. (Since each month applies to a specific person, (Oct, Jan, Jul) is not the same as (Jan, Jul, Oct) and so order is important.) a. How many possible outcomes are there
Answer:
The possible outcomes are 1728.
Step-by-step explanation:
Consider the provided information.
We know that there are 12 months in a year and we have 3 people in a room.
As the order is important it means for each person we have 12 choices of the months.
The possible outcomes are: [tex]12\times12\times12=1728[/tex]
Hence, the possible outcomes are 1728.
What is the quotient of 35, 520 ÷ 96?
Answer:
Hey there the answer is 370
Step-by-step explanation:
Please help me 15 point
Answer:
[tex](x + 8)^2 = 55[/tex]
Step-by-step explanation:
Given
[tex]x^2 + 16x + 17 = 8[/tex]
Required
Get an equivalent equation
[tex]x^2 + 16x + 17 = 8[/tex]
Subtract 17 from both sides
[tex]x^2 + 16x + 17-17 = 8-17[/tex]
[tex]x^2 + 16x = -9[/tex]
Add 64 to both sides
[tex]x^2 + 16x + 64 = -9+64[/tex]
[tex]x^2 + 16x + 64 = 55[/tex]
Expand the expression on the left-hand side
[tex]x^2 + 8x + 8x + 64 = 55[/tex]
Factorize:
[tex]x(x + 8) + 8(x + 8)= 55[/tex]
[tex](x + 8)(x + 8)= 55[/tex]
[tex](x + 8)^2 = 55[/tex]
Suppose a normally distributed set of data with 7800 observations has a mean of 188 and a standard deviation of 18. Use the 68-95-99.7 Rule to determine the number of observations in the data set expected to be below a value of 242. Round your result to the nearest single observation.
Answer:
7788 observations are expected to be below a value of 242.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 188, standard deviation = 18
The normal distribution is symmetric, which means that 50% of the measures are below the mean and 50% are above.
Percentage of observations below 242:
242 = 188 + 3*18
So 242 is three standard deviations above the mean
Of the measures below the mean, all are below 242.
Of the measures above the mean, 99.7% are between the mean of 188 and three standard deviations above the mean(242). So the percentage is:
[tex}P = 0.5 + 0.997*0.5 = 0.9985[/tex]
Number of observations below 242:
99.85% of 7800 observations
0.9985*7800 = 7788
7788 observations are expected to be below a value of 242.
The distance from Adamsville to Hampton Mills is 24.1 km. Which statement is true about the
distance from Adamsville to Springfield
Answer:-
Option A
Step by step explanation :-
Distance between Springfield to Longmeadow is 3.8 km.
Adamsville to Springfield is 7.6 km.
Write as a Percent .04
Answer:
4%
Step-by-step explanation:
Because to convert a percent to a decimal, you move the decimal to the right 2 times. You get 4% if you do that
PLSSS HELP ME, THANKSSS
Step-by-step explanation:
What do you need help with?
Find the determinant of the following matrix. A =
-2 6
3 5
Answer:
[tex]|A| = - 28[/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]
Required
Determine the determinant
For a two by two matrix, A such that:
[tex]A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
The determinant |A| is:
[tex]|A| = a * d - b * c[/tex]
So, in
[tex]A = \left[\begin{array}{cc}-2&6\\3&5\end{array}\right][/tex]
The determinant is:
[tex]|A| = -2 * 5 - 6 * 3[/tex]
[tex]|A| = -10 - 18[/tex]
[tex]|A| = - 28[/tex]
8 + __ = 4(2+4) I need help on this also can you explain it to me so I know next time
Answer:
16.
Step-by-step explanation:
We need 8 + a number to equal 24. We need it to equal 24 because 2 + 4 = 6 and 6 x 4 = 24. To find the missing number we need to subtract 8 from 24. 24 - 8 = 16. Let's plug 16 into the equation.
8 + 16 = 4(2 + 4)
24 = 4(2 + 4)
24 = 4(6)
24 = 24
Therefore, 16 is the correct answer.
1 2 3
5
6
7
The scale in the drawing is 4 cm:5 m. Drag and drop the correct numbers into the boxes to glve the
length, width, and area of the actual room.
16 cm
8 cm
The length is
meters, the width is
meters, and the area is
square meters.
8
16
200
20
10
128
what is the meausure of angle XYZ
Answer:
80 degrees is what I got im not 100 percent its right
Please help, in a hurry!!
Will mark brainliest!!!
Match each system of linear equations with the correct number of solutions.
One solution
Infinitely many solutions
No solution
3x - y = 4
6x - 2y = 8
-3x + y = 7
2x - 4y = -8
y = -4x - 5
y = -4x + 1
Answer:
First one is infinitely many solutions. Second one is One solution. The third one is No solution.
Step-by-step explanation:
First line both equations have the same line. second one are two completely different equations while the third one are parallel lines which never intersect.
which are the slope and y-intercept for the line with equation y = -2x +5
Answer:
slope = -2
y-intercept = 5
Step-by-step explanation:
[tex]y = mx + b[/tex]
where m = slope and b = y-intercept.
[tex]y = mx + b \\ y = - 2x + 5[/tex]
Consider the coefficients.
[tex]mx + b = - 2x + 5[/tex]
[tex]m = - 2 \\ b = 5[/tex]
Therefore, the slope is -2 and y-intercept is 5.