Answer:
Yes, the two events are independent because P(NF | PB) = P(NF)
Step-by-step explanation:
Paperback Hardcover Total
Fiction 20 10 30
Nonfiction 60 30 90
Total 80 40 120
P(NF | PB) = 60/80 = 3/4
P(NF) = 90/120 = 3/4
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the new
rectangle are true? Check all that apply.
The dimensions of the new rectangle will be 10 cm by 12 cm.
The dimensions of the new rectangle will be 40 cm by 48 cm.
The new perimeter will be 4 times the original perimeter.
The new perimeter will be 16 times the original perimeter.
The new area will be 4 times the original area.
The new area will be 16 times the original area.
The new perimeter will be 44 cm.
The new area will be 30 square cm
Answer:
The new perimeter will be 4 times the original perimeter.
The new area will be 4 times the original area.
Step-by-step explanation:
The area and perimeter of new rectangle will be 120 square cm and 44 cm. Then the correct options are A, C, F, and G.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4.
L = 3 cm
W = 2.5 cm
Then the new dimension of the rectangle will be
W' = 4 x 2.5 = 10 cm
L' = 4 x 3 = 12 cm
Then the perimeter of the rectangle will be
P = 2(L + W)
Then the perimeter of the new rectangle will be
P = 2(4L + 4W)
P = 4 x 2(L + W)
The new perimeter is the 4 times of original perimeter.
P = 8(2.5 + 3)
P = 44 cm
The area of the rectangle will be
A = L x W
Then the area of the new rectangle will be
A = 4L x 4W
A = 16 x L x W
The new area is the 16 times of original area.
A = 16 x 2.5 x 3
A = 120 square cm
Then the correct options are A, C, F, and G.
More about the dilation link is given below.
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You get a student loan from the New Mexico Educational Assistance Foundation to pay for your educational expenses this year. Find the interest on the loan if you borrowed $2,000 at 8.5% for 3 year.
Answer:
$554.58
Step-by-step explanation:
The interest on the loan can be computed by first determining the future value of the loan in three years as follows:
FV=PV*(1+r)^n
PV is the amount of the loan which is $2,000
r is the interest rate which is 8.5%
n is the number of years which is 3 years
FV=$2000*(1+8.5%)^3=$ 2,554.58
Since the value of the loan in three years is $ 2,554.58 ,the interest on the loan is the difference between the future value and the present value
interest=$ 2,554.58-$2,000.00=$554.58
A proportional relationship can be represented by an equation in the form y = kx,
where k is the constant of proportionality. For the equation 2x = 18y, what is the
constant of proportionality?
2x=18y
x=9y
x=9kx
k=1/9
Step-by-step explanation:A proportional relationship is a relationship between two quantities in which the ratio of one quantity to the other quantity is constant. A proportional relationship can be described by an equation of the form y = kx, where k is a number called the constant of proportionality.Hope it helps Evaluate the expression: 5×2^{3} +7
Plz answer
Answer:
47
Step-by-step explanation:
2 to the 3rd power is 8. 5x8=40, and 40 +7 =47.
Answer:
47
Step-by-step explanation:
Let's solve using PEMDAS.
5 × 2³ + 7
PEMDAS
First, we need to find exponents.
5 × 2³ + 7
5 × 8 + 7
PEMDAS
Now, we need to multiply.
5 × 8 + 7
40 + 7
PEMDAS
Finally, we need to add.
40 + 7
= 47
Therefore, the value of the expression is 47.
I need help please
Thank you
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Volume = length x width x height
Substitute the values in:
Volume = 10 x 9 x 32
Solve to get the answer
Volume = 2880 in^3
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
Answer:
[tex]2880 {in}^{3} [/tex]
Step-by-step explanation:
[tex]V
=
w
h
l
\\
=
10
·
32
·
9
\\
=
2880
{in}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Bradley goes to a fast food restaurant and orders some tacos and burritos. He sees on the nutrition menu that tacos are
140
calories and burritos are
430
calories. If he ordered
7
items and consumed a total of
2720
calories, how many tacos and how many burritos did Bradley order and eat?
Answer:
6 burritos and 1 taco
Step-by-step explanation:
(6*430)+(1*140)
=2720
what is the value of the expression r +1988 if r =2976
(A+) It takes a painter and his friend 8 hours to paint a room. If the painter was working alone, it would take him 12 hours less than if his friend was working alone. How long does it take the painter to paint the room by himself?
Answer:
24 hours
Step-by-step explanation:
Please help me???? 25 points
Name two transformations that happens in the real world, outside of the math classroom. Explain what type of transformation is happening in each situation.
Answer:
Here is your answer- Real life examples of reflections are: 1. the symmetry of your face, a butterfly, an airplane and so many more objects 2. mass production of shoes and spectacle frames 3. flipping images on a computer 4. the mirror images of the chemical structure of the sugar molecules, glucose (in sugarcane) and fructose (in fruit).
Step-by-step explanation:
At the movie theater , child admission is $5.80 and the adult admission is $9.20. On wednesday , 113 tickets were sold for a sales of $866.20. How many adult tickets were sold that day?
Answer:
62 adults and 51 kids
Step-by-step explanation:
When Colton commutes to work the amount of time it takes him to arrive is normally distributed with a mean of 41 minutes and a standard deviation of three minutes what percentage of his commute will be between 33 and 35 minutes to the nearest tenth?
Answer:
The Probability that commute will be between 33 and 35 minutes to the nearest tenth = 0.0189 ≅1.89%
Step-by-step explanation:
Step(i):-
Given mean of the Population(μ) = 41 minutes
Given standard deviation of the Population (σ) = 3 minutes
let 'X' be the random variable of Normal distribution
Let X = 33
[tex]Z = \frac{x -mean}{S.D} =\frac{33-41}{3} = -2.66[/tex]
let X = 35
[tex]Z = \frac{x -mean}{S.D} =\frac{35-41}{3} = -2[/tex]
Step(ii):-
The Probability that commute will be between 33 and 35 minutes to the nearest tenth
P(33≤ X≤35) = P(-2.66 ≤X≤-2)
= P( X≤-2) - P(X≤-2.66)
= 0.5 - A(-2) - (0.5 - A(-2.66)
= 0.5 -0.4772 - (0.5 -0.4961) (From normal table)
= 0.5 -0.4772 - 0.5 +0.4961
= 0.4961 - 0.4772
= 0.0189
The Probability that commute will be between 33 and 35 minutes to the nearest tenth = 0.0189 ≅1.89%
HURRY PLZ!!!!!! Which graph shows a negative correlation?
A.)A graph with both axes unnumbered. Points show a steady trend.
B.)A graph with both axes unnumbered. Points are scattered loosely in the top half of the graph.
C.)A graph with both axes unnumbered. Points show a downward trend.
D.)A graph with both axes unnumbered. Points are scattered loosely all Over graph.
"A Negative correlation can be defined as the inverse relationship between two variables. When one variable increases, the other decreases, and vice versa. These variables move in opposite directions from each other and the correlation between them can vary drastically over a set period of time".
For the given question,
A Negative correlation appears as a recognizable line with a negative slope. The slope of the graph shows a downtrend.
Hence we can conclude that option (C) a graph with both axes unnumbered and points showing a downward trend is the correct answer.
Learn more about negative correlation here
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A scale drawing of a regular parking lot is shown. If the length (longer side) of the parking lot is actually 48 meters, what is the scale factor for the drawing?
(Answer must be written to the nearest hundredth below. )
______ meters
Look at the attachment to see if you could help me out!
Answer:
Answer is D
Step-by-step explanation:
Move all terms not containing y
to the right side of the equation.
y = 2 x + 5
Use the slope-intercept form to find the slope and y-intercept.
Slope:
2
y-intercept:
5
Any line can be graphed using two points. Select two
x values, and plug them into the equation to find the corresponding
y values.
Graph the line using the slope and the y-intercept, or the points.
Slope:
2
y-intercept:
5
Order from least to greatest
A.5/16 inch
B. 1/8 inch
C.1/2 inch
D.1/16 inch
E.3/8 inch
F.1/4 inch
Answer:
1/16, 2/8, 1/4, 3/8, 1/2, 5/16
Step-by-step explanation:
Answer: 1/16 < 1/8 < 1/4 < 5/16 < 3/8 < 1/2
Think of these fraction as a slice of pizza. You get the smallest fraction then you get a small slice of pizza. You get the biggest slice then you get a big slice of pizza.
1/2 is the biggest so that means if u get a pizza cut into 2 slices and you get 1 that is the biggest piece you get.
help ity help ity help help help
- 2 is best described as a coefficient
- x is best described as variable
- 16 is best described as a term
2x, when x = 10
2(10)
20
A card is drawn from a standard 52-card deck. What is the probability that the card is a red card, or that it is a ten of clubs or a jack of clubs? A. 1/52 B.3 /26 C. 7/13 D.15 /26
Answer:
Step-by-step explanation:
I'm not sure whether you're asking for the probability of each condition individually or the probability of the last two together, but I'll do both.
Probability that the card is red: 26/52, aka 1/2 or 50%
Probability that the card is a ten of clubs: 1/52
Probability that the card is a jack of clubs: 1/52
Probability that the card will be either a ten of clubs or a jack of clubs: 2/52
The scatter plot shows data collected on the number of students who get off the bus at the first and the last stop of various school bus routes. Which statement is true? A. The data in the scatter plot shows a negative linear correlation. B. The data in the scatter plot shows a nonlinear correlation. C. The data in the scatter plot shows a positive linear correlation. D. The data in the scatter plot shows no correlation.
Answer:I think it’s A but I’m not sure and atleast there is an answer to this
Step-by-step explanation:
Hence, the option (A) is the correct answer.
What is the data collection?
Data collection is defined as a method of collecting, analyzing data for the purpose of validation and research using some techniques.
Here given that,
The scatter plot shows data collected on the number of students who get off the bus at the first and the last stop of various school bus routes
As the students get off at the first and the last stop they both are in opposite direction/negative direction.
Hence, the option (A) is the correct answer.
To know more about the data collection
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A radio station manager has $1000 in prize money to give away. She will
give away $50 in prize money each hour. Which of the following
expressions represents the amount of prize money the radio station
manager will have left to give away after h hours, where his any number of hours? need asap
Answer: y=50x+1000 is the expression
Step-by-step explanation: Please mark as brainliest
x is the unknown variable
Find the mean absolute deviation of the data set 8, 10, 15, 8, 12, 13, 12 and 14. Round to the nearest hundredth if necessary.
Answer: 11.5
Step-by-step explanation:
Add all the numbers up and divide the total by how many numbers there are.
If all three sides of a triangle have length x, what is the perimeter of the triangle?
Answer:
3x (i think)
Step-by-step explanation
Answer:
3x
Step-by-step explanation:
I did the quiz and this was the answer ;)
Which of these is NOT equivalent to 2-37
Well, i'm gonna need a picture so I can answer it...
5. Find the area of an equilateral triangle with a
perimeter of 24 in.
what’s the area?
Answer:
18
Step-by-step explanation:
24÷3=6 6×6=36 36÷2=18
Rewrite the equation in terms of u. (u^2 + 3) + u – 2 = 0 u^2 + u – 2 = 0 (u^2 + 9) + u – 2 = 0 u^2 + u + 1 = 0
Answer:
The solutions of the original equation are x=-5 and x=-2
Step-by-step explanation:
Which statement best describes the data in a scatter plot where the y-values are decreasing as the x-values are increasing? *
A.The data can best be modeled by a vertical line.
B.The data can best be modeled by a horizontal line.
C.The data can best be modeled by a line with a positive slope.
D.The data can best be modeled by a line with a negative slope.
Answer:
D
Step-by-step explanation:
94 POINTS AND BRAINLIEST TO BEST ANSWER!!!
Answer:
54
Step-by-step explanation:
Diagonals are perpendicular so
2x+ 90 + 3x = 180 since this forms a triangle
Combine like terms
5x+ 90 = 180
Subtract 90 from each side
5x +90-90 =180-90
5x = 90
Divide each side by 5
5x/5 = 90/5
x =18
We want to find Angle ABD
ABD = 3x = 3*18 = 54
Answer:
HOPE THIS HELPS PLS DON"T TAKE IT DOWNN
Step-by-step explanation:
Say that the intersecting point of both diagonals is O
that means that in triangle AOB, all angles add up to 180º that is just the definition of sum of angles in a triangle
and the m<AOB = 90º, diagonals in a rhombus are perpendicular
that means that
90º + 2x + 3x = 180º
90º + 5x = 180º
5x = 90º
x = 18º
if m<ABD = 3x
then its equal to m<ABD = 3(18)
m<ABD = 54º
An object moves in simple harmonic motion with amplitude 15 m and period 2. At time t=0 minutes, it’s displacement d from rest is 0 m, and initially it moves in a negative direction. Give the equation modeling the displacement d as a function of time t.
Answer:5
Step-by-step explanation:
ASAP I will give brainliest
Answer:
25π (≈78.540110π (≈345.58)I hope I helped you! If I am correct, may I please get marked as brainliest? Thanks!
can you put 26 45 21 35 38 50 52 28 34 26 40 42 48 25 30 in order
Answer:
21 25 26 26 28 30 34 35 38 40 42 45 48 50 52
Step-by-step explanation:
21 25 26 26 28 30 34 35 38 40 42 45 48 50 52
Determine the volume of a cube with a side length of 5 1/3 in
Answer: 151 19/27 cu. in
Step-by-step explanation:
V = a^3
= 5 1/3 x 5 1/3 x 5 1/3
= 4096/27
= 151 19/27