Answer:
the answer is 1.2
Step-by-step explanation:
The number of miles Alvin’s family drive per gallon of gas is 28 miles.
Given that, Alvin’s family used 18.5 gallons of gas to drive 518 miles.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number of miles drive per gallon of gas = Total number of miles ÷ Total number of gallons
= 518 ÷ 18.5
= 28 miles
Hence, the number of miles Alvin’s family drive per gallon of gas is 28 miles.
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Plz help I need help
Answer: -3.2b + 9
Step-by-step explanation:
1. Remove parentheses.
-6.5b + 11 + 3.3b - 2
2. Add -6.5b and 3.3b.
-3.2b + 11 - 2
3. Subtract 2 from 11.
-3.2b + 9
For the function f(x) = 4x3 + 3x + 1, find f '(1).
A.
15
B.
8
C.
12
D.
13
Answer:B
Step-by-step explanation:
For males in a certain town, the systolic blood pressure is normally distributed with a
mean of 125 and a standard deviation of 5. What percentage of males in the town that
have a systolic blood pressure higher than 131, to the nearest tenth?
Answer:
11.5 %
Step-by-step explanation:
mean- 125 | sd: 5
z-score: 131-125/5= 6/5= 1.2
for z= 1.2, percent: 88.49 %
100-88.49= 11.51 -> 11.5
6=2(y+2) what is the value of y in the equation
Answer: the value of y is 1
Step-by-step explanation: 6=2 x 1+2
A shipment of 8 computers contains 3 with defects. Find the probability that a sample of size 2, drawn from the 8, will not contain a defective computer.
What is the probability that a sample of 2 of the 8 computers will not contain a defective computer?
(Type an integer or a simplified fraction.)
Answer:
5/28
Step-by-step explanation:
First of all, probability is defined as the number of ways a certain event can happen divided by the total ways of an event happening. In this scenario, we are asked to find the number of non-defective computers divided by the total ways that a sample of two can be chosen.
The number of ways to choose 2 computers from 8 can be written as [tex]8\choose2[/tex], which is equal to [tex]\frac{8\cdot7}{2}[/tex], which is 28. Now, there are 3 defective computers, for a total of 5 non-defective computers, so the probability is 5/28.
What is the slope of the line that has a y-intercept of (0, 6) and passes through the point (2, 8)?
m= ?
Answer:
m=1
Step-by-step explanation:
[tex]m=\frac{8-6}{2-0} =\frac{2}{2} =1[/tex]
I hope this help you
How do you solve x+20<-10
Answer:
X = - 31
Step-by-step explanation:
The < always faces the largest number so do. -10-20= - 30 so any number bellow that e.g.-31, -45 will be correct I think
Unit #2 - Lesson #13 Exit Ticket: A tour company for large groups charges a one time fee of $200 plus an
additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let
n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers
of people who can go on the tour to make it profitable.
Answer:
200+25n>1650
Step-by-step explanation:
200 is the one time fee
25n for $25 per person
> because they must make more than 1650 to be profitable
[tex]2 {}^{3} \times 2 - {}^{3} [/tex]
I need answers
If 14 out of 20 students in a college classroom are make, what percentage of the class is composed of men?
Answer:
70% of the class is composed of men.
Step-by-step explanation:
14: 20*100 =
(14*100): 20 =
1400: 20 = 70
if in a game of glass stepping stones. there are 18 tiles of glass. two in each row. one is tempered and will be fine if you jump on it. and the other will break. if 1 player was to play what are his/her chances of getting across?
(NO links)
33. Due to some error in a weighing scale, it shows the following reading when at rest (no weight is placed on it). Neerja measured her weight on this scale. The weight shown on the scale was 28 kg. What should she do to find out her correct weight?
(A) Add 2 kg to the weight shown. (B) Subtract 2 kg from the weight shown.
(C) Subtract 28 kg from the weight shown. (D) Add 4 kg to the weight shown
Answer:
The traditional scale consists of two plates or bowls suspended at equal distances from a fulcrum. One plate holds an object of unknown mass (or weight), while known masses are added to the other plate until static equilibrium is achieved and the plates level off, which happens when the masses on the two plates are equal. The perfect scale rests at neutral. A
PLS HELP ME PLS HELP ME PLS HELP ME
Answer:
Step-by-step explanation:
Help I’m timed!
The graph of an equation with a negative discriminant always has which characteristic?
A: no x-intercept
B:no y-intercept
C: no maximum
D: no minimum
Answer:
a
Step-by-step explanation:
Negative discriminant means that the fucntion has no real roots
so in the quadratic function b^2-4ac if this section is negative there are no real roots, so yes a would be the answer
Bonus: if u want to know.
However, in linear algebra which ofc i know ur not taking there would be something called imangiary roots, or complex roots.
In a school of 1,000 students, 600 study physics, 300 study Calculus, and 100 study both. What is the probability that someone who does not study calculus studies physics? Give your answer as a decimal to one decimal place.
The probability that someone who does not study calculus studies physics is 0.5
Since there are 1000 students in the school and 600 study physics, 300 study Calculus, and 100 study both, we need to find the number of students that study only physics to find the probability that someone who does not study calculus studies physics.
Let x = number of students who study both = 100, y = number of students who studies only physics and z = number of students who studies only calculus.
Given that the number of students who study physics are 600, we have
x + y = 600 (1)
Also, given that the number of students who study calculus are 300, we have
x + z = 300 (2)
From (1)
y = 600 - x
y = 600 - 100
y = 500
So, the probability of students that study only physics = probability that someone who does not study calculus studies physics is
P(physics) = number of students studying only physics/total number of students
= 500/1000
= 5/10
= 0.5
So, probability that someone who does not study calculus studies physics is 0.5
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A package contains 12 ounces of cereal .If you use 1 portion of this cereal which is 1 1/3 how much would be left in the cereal box?
To answer this question, you would need to divide the total amount of cereal in the box by the serving size.
This would be 12 2/3 divided by 1 1/3.
We can write each mixed number as an improper fraction first before we divide:12 2/3 = 38/3 and 1 1/3 = 4/3
Now divide 38/3 by 4/3. Recall that dividing by a fraction is accomplished by multiplying by the reciprocal of the divisor: 38/3 * 3/4 = 114/12 = 38/4 OR 19/2
Also, 19/2 is equivalent to 9 and 1/2. There would be 9 and 1/2 servings in the box of cereal.
Hope this helps
2x-32=12
means they spent how much
Answer:
22
Step-by-step explanation:
Can someone help me with this problem 9(n+3)<10(n+1)
[tex]9(n+3)~<~10(n+1)\implies 9n+27~<~10n+10 \\\\\\ 27~<~n+10 \implies 17 ~<~ n[/tex]
–5(–2) = help me please ill give brainlist
Answer:
The answer is 10!
Step-by-step explanation:
|a| if a>0
Please help!
Answer:
Step-by-step explanation:
the absolute value bars mean we ignore the sign of the variable
As (a) is always positive for a>0, |a| = a
For contrast, If the range were a<0 where (a) is always negative, then |a| = -a
Answer:
1/a > 0
Step-by-step explanation:
9.
Write the equation of the parabola in vertex form.
A. y = (x – 2)^2 + 4
B. y = x^2 – 4
C. y = (x – 2)^2
D. y = (x – 4)^2 – 4
Answer: The Answer Is NOT Letter A
C. y = (x – 2)^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 0 ) =Already in vertex form. y = ( x − 2 ) ^2
Step-by-step explanation: I used math.way
A. y = (x – 2)^2 + 4 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 4 ) =Already in vertex form. y = ( x − 2 ) ^2 + 4
B. y = x^2 – 4 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 0 , − 4 ) =Find the vertex form. y = ( x + 0 ) ^2 − 4
C. y = (x – 2)^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 0 ) =Already in vertex form. y = ( x − 2 ) ^2
D. y = (x – 4)^2 – 4 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 4 , − 4 ) =Already in vertex form. y = ( x − 4 ) 2 − 4
Find the number N , such that when 1 ÷3
of it's added to 8 , the results is the same as when 1÷2 of it is subtracted from 18
Answer:
Step-by-step explanation:
8 + N/3 = 18 - N/2
N/3 + N/2 = 18 - 8
2N/6 + 3N/6 = 10
5N/6 = 10
N = 10(6/5)
N = 12
Answer:
N=12
Step-by-step explanation:
Set up an equation involving N
(1/3)N+8=18-(1/2)N
We want to clear the denominator to start with by multiplying everything on both side by 6
2N+48=108-3N
Move all the N's to one side and the number to the opposite
5N=60
Divide by 5
N=12
Check:
(1/3)12+8=18-(1/2)12
4+8=18-6
12=12
solve pls brainliest
Answer:
Mixed number: 5(1/10)
Improper fraction: (51/10)
Step-by-step explanation:
Hope this helps!
Answer:
Mixed number: 5 1/10 and improper fraction: 52/10
Write the letter of the arrow that matches each probability word.
a)
*certain' is shown by the letter
b)
'evens' is shown by the letter
C)
'impossible' is shown by the letter
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
A. " Certain " is shown by letter E
B. " Even " is shown by letter C
C. " Impossible " is shown by letter A
Find m/_ABC if BD is an angle bisector of ABC
Answer:
im not quite sure but i think u do it like this:
Step-by-step explanation:
4x-6=x+6
(add 6 to both sides as well as subtracting x from both sides)
3x=12
(divide 3 from both sides)
x=4
She calculates the percentage of applicants in her sample that are in poverty. Is this percentage a parameter or a statistic, and why
Answer:
A statistic
Step-by-step explanation:
This is because she only examined the applications that she selected.
The given percentage represents statistic.
What is percentage?
" Percentage is defined as the hundredth part of a given quantity."
According to the question,
Given,
Collection of data applicants in form of sample
Percentage calulation based on sample
Parameter : Parameter represents the data of whole population, here she collects sample.
parameter is not the correct answer.
Statistic : Statistic represents the sample of the data and she has calculated percentage of the sample.Statistic is the correct answer.
Hence, the given percentage represents statistic.
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Please help I do not understand thanks
$32.00for a 14 2/9 km taxi ride. What is the cost per kilometer
[tex]\begin{array}{ccll} \$&km\\ \cline{1-2} 32&14\frac{2}{9}\\[1em] x&1 \end{array}\implies \cfrac{32}{x}=\cfrac{14\frac{2}{9}}{1}\implies \cfrac{32}{x}=14\frac{2}{9}\implies \cfrac{32}{x}=\cfrac{14\cdot 9+2}{9} \\\\\\ \cfrac{32}{x}=\cfrac{128}{9}\implies 288=128x\implies \cfrac{288}{128}=x\implies \stackrel{~\hfill \textit{2 bucks and 25 cents}}{\cfrac{9}{4}=x\implies 2\frac{1}{4}}=x[/tex]
(5,65) (7,71) slope
Answer:
3
Step-by-step explanation:
The slope formula is m=y2-y1/x2-x1
y2 is 71
y1 is 65
x2 is 7
x1 is 5
71-65 is 6
7-5 is 2
So the slope looks like this:
6/2
Simplify:
Which is 3
Hope this helps!
At a sale this week, a table is being sold for $119. This is a 65% discount from the original price.
What is the original price?
Answer:
77,35
Step-by-step explanation: