Answer:
25.92
Step-by-step explanation:
Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.
In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.
Constructing a frequency distribution for grouped data
Ten cyclists were each asked the distance in miles they biked last week.
Their responses are given below.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of distances in that class.
(Note that we are using a class width of 5.)
Distance in miles
Distance in miles
Frequency
3
20
6
3
7
8
13
10
18
12
6 to 10
11 to 15
16 to 20 and 1 to 5
The grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
Given that, ten cyclists were each asked the distance in miles they biked last week. The distance travelled by 10 cyclists is 3, 20, 6, 3, 7, 8, 13, 10, 18 and 12.
We need to complete the grouped frequency distribution for the data.
What is the grouped frequency distribution?In this type, the data is arranged and separated into groups called class intervals. The frequency of data belonging to each class interval is noted in a frequency distribution table. The grouped frequency table shows the distribution of frequencies in class intervals.
Now, the frequency distribution for the given intervals is as follows:
That is, for intervals 1 to 5 the frequency is 2.
For intervals 5 to 10 the frequency is 4.
For intervals 11 to 15 the frequency is 2.
For intervals 16 to 20 the frequency is 2.
Therefore, the grouped frequency distribution for the data with the given intervals is 2, 4, 2 and 2 respectively.
To learn more about the grouped frequency distribution visit:
brainly.com/question/4679134.
#SPJ2
I need this fast please
Answer: It is B/Spinner 2
Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: A(-1,2) B(-1,5) C(-3,5) D(-3,2) A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2)
What transformation did Kim perform to create rectangle A'B'C'D? (5 points)
A)Reflection across the y-axis
B)Rotation of 270 degrees counterclockwise about the origin
C)Reflection across the x-axis
D)Rotation of 90 degrees counterclockwise about the origin
Answer:
C) Reflection across the x-axis.
Step-by-step explanation:
From Linear Algebra we define the reflection across the x-axis is for [tex]P(x,y) =(x,y)[/tex]:
[tex]P'(x,y) = (x, -y)[/tex] (1)
If we know that [tex]A(x,y) = (-1, 2)[/tex], [tex]B(x,y) =(-1,5)[/tex], [tex]C(x,y) = (-3, 5)[/tex] and [tex]D(x,y) =(-3, 2)[/tex], then the reflected points are, respectively:
[tex]A'(x,y) = (-1, -2)[/tex]
[tex]B'(x,y) = (-1,-5)[/tex]
[tex]C'(x,y) = (-3,-5)[/tex]
[tex]D'(x,y) = (-3,-2)[/tex]
In consequence, Kim performed a reflection across the x-axis to create triangle A'B'C'D'. The correct answer is C.
This question is based on the reflection of x- axis. Hence the correct answer is C, reflection across the x-axis.
Given:
Transform rectangle ABCD to rectangle A'B'C'D',
The vertices of rectangle ABCD is A(-1,2) B(-1,5) C(-3,5) D(-3,2).
The vertices of rectangle A'B'C'D is A'(-1,-2) B'(-1,-5) C'(-3,-5) D'(-3,-2).
We need to determined the transformation that Kim perform to create rectangle A'B'C'D.
From Linear Algebra we define the reflection across the x-axis is for,
P(x,y) = (x,y)
P(x,y) = (x,-y) .....(1)
It is given that A(-1,2), B(-1,5), C(-3,5) and D(-3,2).
Therefore from equation (1) above point becomes,
A'(x,y) = (-1,-2)
B'(x,y) =(-1,-5)
C'(x,y) =(-3,-5)
D'(x,y) =(-3,-2)
Therefore, It is observe that Kim performed a reflection across the x-axis to create triangle A'B'C'D'. Hence the correct answer is C, reflection across the x-axis.
For further details, please refer this link:
https://brainly.com/question/25095797
i need some help here
Answer:
the answer above is correct
Answer:
boxes
7
8
58.1
119.7
Step-by-step explanation:
look when u solve this it equals
8.3(7)+7.7(8)=119.7 but it tells u to add 61.6 so u go backwards subtract
119.7-61.6
58.1
just plug in
8.3(7)+7.7(8)=____+61.6
plug in
58.1+61.6
119.7
Which equation is represented by the graph below
What the equivalent (2×)(5y)(5y)
Answer:
50xy
Step-by-step explanation:
(2x)(5y)(5y)
~Simplify
(2x)(25y)
~Multiply
50xy
Best of Luck!
Tell whether the relation is a function. Explain.
The table below shows the number of eggs needed for several servings of a recipe.
Number of
Eggs
Servings
3
18
6
36
9
54
How many eggs are needed for 90 servings?
A. 12 eggs
B. 15 eggs
O C. 18 eggs
OD. 21 eggs
During final exam weeks, many college students exercise to fuel their study sessions. Data from a recent survey are shown in the Venn diagram. Let M be the event that the student exercises in the morning and let A be the event that the student exercises in the afternoon.
A Venn diagram titled exercise habits. One circle is labeled M, 0.25, the other circle is labeled A, 014, the shared area is labeled 0.37, and the outside area is labeled 0.24.
What is the probability that a randomly chosen college student exercises in the morning or afternoon?
0.37
0.39
0.62
0.76
Answer:
WARNING! .39 AND .76 IS WRONG.
THE PEOPLE ABOVE ARE INCORRECT.
THE ANSWER IS EITHER .37 OR .62
I believe the correct answer is .62 --> .25 + .37 = .62 . This also makes sense.
(C)
ED2021
The probability that a randomly chosen college student exercises in the morning or afternoon are 0.37.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomesFrom the given Venn diagram, we see that
Probability that the student exercises in the afternoon
P(A) = 0.14 + 0.37 = 0.51
Probability that the student exercises in the morning
P(M) = 0.25 + 0.37 = 0.61
Now, the probability that a randomly chosen college student exercises in the morning or afternoon
P(A ∩ M) = 0.37
Learn more about probability here;
https://brainly.com/question/11234923
I will GIVE BRAILYEST
Mario has 20 yards to mow this week. By Wednesday, he had mowed 50%or the yards. How many yards had he mowed by Wednesday?
2
5
10
15
Answer: 10 yards
Step-by-step explanation: 50% = 1/2
1/2 x 20 = 10
15 yeards mowed by Wednesday
what is 7%o of 14.68
Answer:
1.03
Step-by-step explanation:
i multiplied 14.68×.07
hope this is correct and helps
Answer:
1.03
Have a good day! :)
Let v = (5,-2) and w = (4,10). Which of the following is true? Check all that
apply.
A. V and w are perpendicular.
B. v.w = 20
C. The y-component of wis 10.
D. W = -2(-2,-5)
Answer: The answer is A, C and D
Step-by-step explanation:
The expression that is true for (v) and (w) on the graph can be seen in options A, B and D
What is the expression of data on the graph?The expression of data on the graph takes a standard form of arrangement in terms of (x, y).
From the given information:
v = (5, -2) i.e. we have 5 on the x-axis and -2 on the y axisw = (4, 10) i.e we have 4 on the x-axis and 10 on the y axisIf we reduce (w) and (v) by a factor of 2 : 1 on the graph, we have;
w = (2, 5)v = (5, -2)This shows that v and w are perpendicular to each other, and the product of v.w = 20
Similarly, W = -2(-2, -5) because by opening the brackets we have:
W = (4, 10)
Learn more about graphical data expression here:
https://brainly.com/question/26247534
#SPJ2
Simplify: 2 * 3 to the power of 2 + 3(6 - 3) - 10
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
[tex](2*3)^{2+3(6-3)-10}\\(2*3)^{2+9-10}\\(2*3)^{1}\\6[/tex]
There are 2400 students in a school 45% of them are boys how many boys are in the school
Show your work in the answer
Answer:
1080 boys
Step-by-step explanation:
2400 x 0.45 = 1080
Rhoda and James both sell laptops and earn commission based on the number of laptops sold. In one month, Rhoda
earns $2000 in commission for selling 10 laptops and has a base salary of $600. The money James earns for selling
laptops in the same month is shown in the graph below.
Answer: James earns $50 more in commission than Rhoda for each laptop sold.
Step-by-step explanation:hope it helps
James earned $50 more than Rhoda.
What is Data?A collection of information obtained through measurements, study, observations, or analysis is referred to as data. Facts, numbers, names, figures, or even descriptions of things may be included. In the form of graphs, charts, or tables, data is arranged.
Basic facts and entities like names and numbers are referred to as data. Weights, costs, sales volume, employee names, product names, addresses, tax identification numbers, and registration marks are just a few types of data.
Given:
In one month, Rhoda earns $2000 in commission for selling 10 laptops.
For, one laptop = 2000/10
= 200
Now, as from the graph
In one month, James earns $2500 in commission for selling 10 laptops.
For, one laptop = 2500/10
= 250
So, James earned $50 more than Rhoda.
Learn more about data here:
https://brainly.com/question/13650923
#SPJ6
say a number between 1 and 10 if u guss right u get brainlist
What is the length of the unknown leg in the right triangle
Answer:
i think it might be 15m
Step-by-step explanation:
what fraction is equal to 5%
Answer:
5/100
1/20
Step-by-step explanation:
Answer: 5/100
Step-by-step explanation:
29. Which of the following expressions will result in a real answer after being simplified? Select all that apply.
A. (4+5i)(4-5i)
B. (4+91)(41-9)
C. (3+2i)(3-2i)
D. (2i+5i) (21-3)
E. (312+7i) (312-7i)
F. (3i2+7i)(312+7i)
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
g(x) = x3 - 4
h(x) = x2 + 2
Find h(-2) - g(-1)
Answer:
11
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
g(x) = x³ - 4
h(x) = x² + 2
h(-2) is x = -2
g(-1) is x = -1
Step 2: Find h(-2) - g(-1)
Substitute: ((-2)² + 2) - ((-1)³ - 4)Exponents: (4 + 2) - (-1 - 4)Add/Subtract: 6 - (-5)Subtract: 11What is 20% of $10
PLEASE HELP FAST ILL MARK AS BRAINLIEST!!!!!!
Answer:
I'm pretty sure it's neither? You need a graph or something for that
Answer:
I think its perpendicular
Step-by-step explanation:
When writing these points on a graph they make a square so when you connect the lines from the coordinates they cross making them perpendicular!
Use the balanced hanger diagram to choose the equations
that best represents how to find the mass of the square.
A. 5t = 42
b. x + 27 = 4x + 15
C. 5t = 36
d. x + 15 = 4x + 12
Answer:jkcv
ijfklgjk
Step-by-step explanation:
vn vvcxkhvxcl
Please give me the correct answer
Answer: Many people assume that because DNA is so small, we can't see it without powerful microscopes. But in fact, DNA can be easily seen with the naked eye when collected from thousands of cells.
Given: f(x) = x - 7 and h(x) = 2x + 3
Write the rule for f(h(x))
Answer:
2x - 4
Step-by-step explanation:
f(x) = x - 7
= 2x + 3 - 7
= 2x - 4
Which of the following can be epressed as repeating decimals?
3/8 and 5/6
2/9 and 5/6
2/9 and 5/4
3/8 and 5/4
Answer:
2/9 = 0.222 (this is repeating) 3/8 = 0.375 -- not repeating 5/6 = 0.83333 (this is repeating) 5/4 = 1.25 -- not repeating answer is : 2/9 and 5/6
Step-by-step explanation:
A table of values of a linear function is shown below.
Answer:
Slope is -2
y intercept is -3
Equation :y=-2x-3
Step-by-step explanation:
graph the line whose x-intercept is -6 and whose y-intercept is -7
9514 1404 393
Answer:
see below
Step-by-step explanation:
When the intercepts are given, plot those and draw a line through them.
_____
Additional comment
The equation shown with the graph is the equation of a line in "intercept form." It is especially useful in a case like this where the intercepts are given.
а) 6x = 7y
Can someone help
Answer:
36 x 2 - 49 y 2
Step-by-step explanation:
6 x (6x) +6 x ( - 7 y ) + 7 y (6x) +7 y ( - 7 y)
What is the equation for the line in slope-intercept form? will give brainliest
Enter your answer in the box.
Answer:
y = 8x
Step-by-step explanation:
The slope is 8, the y-intercept is 0. The slope-intercept form is written:
y = mx + b
So this situation would be written y = 8x + 0 or just y = 8x.
Hope it helps!