Answer:
A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) is the answer.
Step-by-step explanation:
4. The sum of two integers is -1. The product of the
integers is 72. Find the integers.
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Answer:
none such
-9 and +8 have a sum of -1 and a product of -72
Step-by-step explanation:
There are no two integers with the same sign that have a product of +72 and a sum of -1.
The two integers -9 and +8 have a product of -72 and a sum of -1.
5. In one year, there were 125 major new automobile types available. If you look at the miles per gallon (MPG) for these vehicles, the distributions are roughly normal. The means and standard deviations are given by:
Mean Standard Deviation
City MPG 22.37 4.77
Highway MPG 29.09 5.46
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
Answer:
a. 0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic
b. 89.06% of cars are likely to have a better city gas mileage than the Continental
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
a. The Honda Civic had a rating of 45 highway MPG. What is the probability that your car has a worse highway gas mileage than the Civic?
For Highway, we have that [tex]\mu = 29.09, \sigma = 5.46[/tex]
This probability is the pvalue of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 29.09}{5.46}[/tex]
[tex]Z = 2.91[/tex]
[tex]Z = 2.91[/tex] has a pvalue of 0.9982
1 - 0.9982 = 0.0018
0.0018 = 0.18% probability that your car has a worse highway gas mileage than the Civic.
b. The Lincoln Continental had a rating of 17 city MPG. What percent of cars are likely to have a better city gas mileage than the Continental?
City means that [tex]\mu = 22.37, \sigma = 4.37[/tex]
This probability is 1 subtracted by the pvalue of Z when X = 17. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{17 - 22.37}{4.37}[/tex]
[tex]Z = -1.23[/tex]
[tex]Z = -1.23[/tex] has a pvalue of 0.1094
1 - 0.1094 = 0.8906
0.8906 = 89.06% of cars are likely to have a better city gas mileage than the Continental
Find the quotient of 376 divided by 4
Answer:
94
Step-by-step explanation:
a) Triple the difference of a number and six is thirty.
Answer:
3(6-x)=30
Step-by-step explanation:
In the coordinate plane, line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3). What are the slope and y-intercept of line r?
A.
Line r has slope 8 and y-intercept (0, 9).
B.
Line r has slope 8 and y-intercept (0, 5).
C.
Line r has slope 5 and y-intercept (0, 2).
D.
Line r has slope 11 and y-intercept (0, 8).
Answer:
im not that smart but
Step-by-step explanation:
Given that In the coordinate plane line p had slope 8 and y intercept (0,5).
Hence equation of line p is
y = 8x+5 (slope intercept form)
When we dilate p by a factor of 3, we have
we find that slope would remain the same but the y intercept would become 3 times.
Hence new line would be
y = 8x+15
Slope = 8 and y intercept = 15
This line will be parallel to original line.
The line r has slope 8 and y-intercept (0, 9) and the equation of the line is y = 8x + 9 if the line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3) option (A) is correct.
What is a linear equation?
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
p has a slope of 8 and y-intercept (0, 5)
Line r is the result of dilating line p by a factor of 3 with center (0, 3).
Line p is:
y = 8x + 5
The center is not on the line because it does not satisfy the line.
Now dilated line r will have the same slope.
And inetercept = 3+3(5-3)
= 9
Thus, the line r has slope 8 and y-intercept (0, 9) and the equation of the line is y = 8x + 9 if the line p has slope 8 and y-intercept (0, 5). Line r is the result of dilating line p by a factor of 3 with center (0, 3) option (A) is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
How are you able to determine whether or not a fraction is rational or irrational
Write an equation of the line with the given slope, m, and y-intercept (0,b).
m = 2, b = 1
Answer:
[tex]\boxed {\boxed {\sf y=2x+1}}[/tex]
Step-by-step explanation:
Equations of line are written in slope-intercept form, or
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept. We know that the slope is 2 and the y-intercept is 1, because we are given:
[tex]m=2 \\b=1[/tex]
Substitute the values into the formula.
[tex]y=2x+1[/tex]
The equation of the line is y=2x+1
An Earth Day event will cost $15 for three people to attend. If there are four people attending, how much will the Earth Day fun event cost?
Please help please help if you put a link I will report
Answer:
i think it is 13 per
pls mark branlyest
Step-by-step explanation:
I need questions 1 , 2 ,3 answered please :)
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Answer:
54°both are 73°x = 12Step-by-step explanation:
Some useful relations are ...
A triangle inscribed in a semicircle is a right triangle.
Acute angles in a right triangle are complementary.
An inscribed angle is half the measure of the arc it intercepts.
The sum of arcs around a circle is 360°; 180° around a semicircle.
__
1. Arc DF is twice the marked inscribed angle, so is 126°. Arc FE is supplementary to that, so is ...
arc FE = 180° -126°
arc FE = 54°
Alternate solution: arc FE is twice angle D, which is the complement of 63°.
2(90° -63°) = 2(27°) = 54° = arc FE
__
2. Arc GJ = 360°-68° -31° -115° = 146°
angle GHJ = angle GIJ = 146°/2 = 73°
__
3. arc UT = 2(90° -43°) = 94°
9x -14 = 94
9x = 108 . . . . . add 14
x = 12 . . . . . . . . divide by 9
Please help I’ll mark you as brainliest if correct
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Answer:
the correct answer is marked
Step-by-step explanation:
You want k in the equation ...
scholars = k × teachers
Dividing by teachers, we get ...
k = scholars/teachers = 75/3 = 25
The constant of proportionality is 25.
Help pls is this quadrilateral a trapezoid
Answer:
yes
Step-by-step explanation:
a Trapezoid has 1 pair of parallel sides
Find the volume of a sphere with a radius of 7.8cm.
Answer:
Step-by-step explanation:
volume of sphere=4/3 π (7.8)³
=4/3π×474.552
=π×4×158.184
=632.736π
≈1987.799 cm³
Use the factor tree to find the prime factorization of 100.
What is the prime factorization of 100?
2 x 5
2 x 2 x 5 x 5
2 x 5 x 10
10 x 10
Answer:
2×2×5×5
Step-by-step explanation:
1st of all they are prime factors
if multiplied give us 100
Answer:
2 × 2 × 5 × 5 is the correct one
Step-by-step explanation:
Got it right on edge
What is the absolute value of 86 1/4
Write your answer as a mixed number.
Answer:
it is 84 1/4
Step-by-step explanation:
The exact form is 337/4
The decimal form is 84.25
Please help will give brainliest answer
Answer:
Both of them, since if you simply their factorizations you will get 45y^6
Select the function that is nonlinear.
a
y = 3x - 4
b
y = 2x3 - 10
c
y = 4x -12
d
y = x + 101
Answer:
B
Step-by-step explanation:
A C and D are all linear. The powers on x in all three questions is 1. For example the first answer could be written as y = 3x^1 - 4. C and D are much the same.
So if you are thinking that B must be the answer, you would be right. x is raised to the third power -- or I think that is what is intended. y = x^3 - 10
Anychance anyone can answer this?
Answer:
-3: C
-2: F
-1: A
6: D
Step-by-step explanation:
-3+2 = -1
-1 = (-1)^3
-3: C
-2+1 = 0
0 = 0^3
-2: F
-1+2 = 1
1 = 1^3
-1: A
6 + 2 = 8
8 = 2 x 2 x 2 = 2^3
6: D
what is 4 1/8 - 2 2/3 to the nearest whole number
Answer:
1 11/24
Step-by-step explanation:
:))
The graph above is a linear equation that includes the points (-3,-2) and (-1,2). Find the slope of the line. Explain how you arrived at your
answer.
Answer:
The slope is 2 and the equation would be m(x)=2x+4.
Step-by-step explanation:
y/x so by looking at the graph you would go up to units and over l unit, therefore giving you the slope of 2.
Write each product using an exponent.
9 × 9 × 9 × 9
Answer:
9^4 is what you’re looking for right?
Step-by-step explanation:
Answer:
9^4
Step-by-step explanation:
The number 9 is timed for 4 times (sorry for my broken english as my english is bad)
What's the volume of 2 inches 1 inch and 4 inches
Answer:
1=1
2=8
4=64
Step-by-step explanation:
If it's cubic inches then
ax a x a
So if it's 1 then it's 1
If it's 2 it's 8
If it's 4 it's 64
I need help
Please hurry
Answer:
x=81
Step-by-step explanation:
all triangles = 180 degrees
180 - 18 = 162
162/2 = 81
81 is your answer
Answer:
81 Degrees
Step-by-step explanation:
These are the same number which means all you have to do is remember that triangles are 180 degrees total and subtract out the 18 and you get 162 which you then divide by 2.
i am really confused
Answer:
A
Step-by-step explanation:
Find the volume of the figure. Use 3.14 for pi a cone sphere has a diameter of 10 and a sphere has a height of 12 cm asking for a friend they need help asap will mark brainliest
Answer:
576 cm³
Step-by-step explanation:
cone = 1/3x3.14x5x5x12=314
1/2 sphere = 1/2x4/3x3.14x5x5x5=262
314+262=576
What is the value of this expression?
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Answer:
2
Step-by-step explanation:
I find it convenient to remember that a logarithm is an exponent.
[tex]\log_a(a^b)=b[/tex]
__
log₂(8) +log₃(1/3) = log₂(2³) +log₃(3⁻¹)
= 3 -1 = 2
The value of the expression is 2.
__
Some calculators can compute this for you directly.
Can I please get help with this
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Answer:
35x + 20 ≥ 1000x ≥ 28Step-by-step explanation:
The number of filled bags will be 35 for each hour (x) that Jackson works, in addition to those already filled. So, the total number filled after x hours is ...
35x + 20
We want that number to be at least (greater than or equal to) 1000, so the relation is ...
35x +20 ≥ 1000
__
To solve this, we first subtract 20:
35x ≥ 980
Now, we can divide by the coefficient of x.
x ≥ 980/35
x ≥ 28 . . . . . the solution
In the year 2012, 12\%12%12, percent of the residents of the US moved to a different residence. Suppose that several census workers took random samples of n=150n=150n, equals, 150 residents from the population and computed the proportion \hat p
p
^
p, with, hat, on top of residents in each sample who had moved in 2012.
What would be the shape of the sampling distribution of \hat p
p
^
p, with, hat, on top?
Answer: approximately normal (c) trust me-khan academy
Step-by-step explanation:
4.A peach weighs 55 grams. If you buy 6 peaches and they sell for $5.50 per kilogram, how
much will they cost?
Answer:
1.815
Step-by-step explanation:
1peach=55grams
6peaches=?
55*6=330grams
1kg=1000grammes
=330grams
330 divide 1000=0.33
1kg=5.50
0.33kg= Hence,0.33*5.50=1.815
1.815
I need help in this.