Given:
A figure is dilated by a factor of [tex]\dfrac{5}{6}[/tex].
To find:
The factor by which the area of the figure will change.
Solution:
We know that, if a figure is dilated by a factor k then the area of that figure is change by a factor of k² .
A figure is dilated by a factor of [tex]\dfrac{5}{6}[/tex].
So, [tex]k=\dfrac{5}{6}[/tex].
The area of the figure will change by a factor of k² .
[tex]k^2=\left(\dfrac{5}{6}\right)^2[/tex].
[tex]k^2=\dfrac{5^2}{6^2}[/tex]
[tex]k^2=\dfrac{25}{36}[/tex]
Therefore, the area of the figure will change by the factor of [tex]\dfrac{25}{36}[/tex].
(2x+5y)(2x+3y).use a identity
Answer:
(2x+5y)(2x+3y)
=(2x)^2 + [5y+3y]2x + (5y)(3y)
=4x^2 +16xy + 15y^2
Step-by-step explanation:
What is the additive inverse of 1/3
Answer:
The additive inverse of 1/3 is -1/3
Step-by-step explanation:
Since, 1/3+(-1/3) = 0
Ron solved the equation (2/3)r = 12 by multiplying both sides by 2/3 and he got r = 8. Explain the error that Ron made and then find the correct value for r
Answer:
Ron multiplied with the wrong number. He should have multiplied with 3/2 (the reciprocal of 2/3), which would have made the 2/3 a 1, thus isolating the r.
r = 18
Step-by-step explanation:
(2/3)(3/2)r = 12
r = 12(3/2)
r = 18
sentence represents this repeated additio
6 + 6 + 6 =
Answer:
that is 188888888888888888
Solve
b+2<7
If anyone can help me with this 10 points will be given
Answer:
b < 5
Step-by-step explanation:
subtract 2 from each side
Answer:
b < 5
Step-by-step explanation:
b + 2 < 7
-2 -2
b < 7
Which speed is the fastest?
A:4 miles in 1/3
B:1/3 mile in 4 hours
C:1/2 mile in 3 hours
D: 2 miles in 1 hour
Select the statement that does not correctly use probability to describe an
event.
O A. The probability of a storm tomorrow is 60%.
B. The probability of finding a matching pair of socks is 1/3
C. The probability of taking a good class picture is 1.3.
D. The probability that the dog will catch the ball is 0.99.
Answer:
Option C is correct option.
Step-by-step explanation:
We need to select the statement that does not correctly use probability to describe an event.
Probability
Whenever we need to find probability of something it lies between 0 and 1.
So, if any item has probability greater than 1 then it is incorrectly described.
Now, looking at the options:
A. The probability of a storm tomorrow is 60%.
Here probability is 0.6 (60/100 = 0.6) so it is used correctly
B. The probability of finding a matching pair of socks is 1/3
Here probability is 0.33 (1/3 = 0.33) so it is used correctly
C. The probability of taking a good class picture is 1.3.
Here probability is 1.3 but probability can be between 0 and 1. So here it is not used correctly.
D. The probability that the dog will catch the ball is 0.99.
Here probability is 0.99 so it is used correctly
Therefore Option C is correct option.
Answer:
C. The probability of taking a good class picture is 1.3
Step-by-step explanation:
Hope it helps! :D
48 passengers in 16 cars =
passengers per car
Answer:
3
Step-by-step explanation:
48/16=3
Answer:3 people in each car
Step-by-step explanation:
43/16=3
The diameter of a circle is 8 inches period find area in terms of pie.
I support her no matter how she feels I’m still gonna love her congrats queen so happy for u ok
Answer:
As you should
Step-by-step explanation:
Answer:
PURRIOD
Step-by-step explanation:
A bag contains colored tiles.
3 tiles are red
6 tiles are green
3 tiles are blue
A tile will be randomly selected from the bag. What is the probability, in decimal form, that the tile selected will be green
A shirt originally priced at 12$ is now on sale for 9$ by what percent did the price decrease
I need help:/
please, and thank you:)
Answer:
C x=40, y=30
Step-by-step explanation:
Remember the opposite side of parallelogram is the same
so angle C and angle A is the same.
3x=120
divide both sides by 3 and you get 40
All parallelogram equal to 180 degrees so to find y
180=2y+120
-2y=120-180
-2y=-60 negative divide negative is positive.
y=30
GIVING BRAINLIST
Which set of ordered pair represents a function?
A. { (1,2), (2,3), (3,4), (4,5) }
B.{ (-5, 2), (-6,5), (-7, 9), (-8, 10), (-5, 11) }
C.{ (1,3), (2,4), (5,6), (2,8) }
D.{ (4,9), (5,8), (8,6), (4,7) }
Answer:
a
Step-by-step explanation:
an online spinner has two colored regions--blue and yellow. according to the website, the probability that the spinner lands in the blue region on any spin is 0.80. Assume for now that this claim is correct. Suppose we spin the spinner 12 times and let x = the number of times it lands in the blue region.
Explain why X is a binomial random variable.
Answer:
Skewed Left :)
Step-by-step explanation:
Correct on Edge 2021
The probability of success (p = 0.8) in each trial remains constant.
The trials are independent. This implies that the outcome from one trial has no effect on the outcome to be obtained from any other trial.
Each trial results in only two possible outcomes, labeled as the success ( Blue ) and failure ( Not blue ).
The experiment is performed a fixed number of times (n=12).
The X is a binomial random variable is 0.1329.
Given that,
An online spinner has two colored regions--blue and yellow.
According to the website, the probability that the spinner lands in the blue region on any spin is 0.80.
Assume for now that this claim is correct. Suppose we spin the spinner 12 times.
We have to determine,
X is a binomial random variable.
According to the question,
The experiment is performed a fixed number of times (n=12).Each trial results in only two possible outcomes, labeled as the success ( Blue ) and failure ( Not blue ).
The trials are independent. This implies that the outcome from one trial has no effect on the outcome to be obtained from any other trial.
The probability of success (p = 0.8) in each trial remains constant.
Therefore,
Number of trials: n = 12
Probability of success: p = 0.8
Let, x be the number of successes ( Blue ) in 12 trials.
The probability function of X:
[tex]P(X=x) = \ ^nC_x \times P^x \times (1-p)^{n-x}[/tex]
To find P(X = 8). Interpret this value in context.
At x = 8
[tex]P(X=8) = \ ^{12}C_2 \times (0.8)^{8} \times (1-0.08)^{12-8}\\\\P(X=8) = \dfrac{12!}{10!\ 2!} \times (0.8)^8\times (0.92)^4\\\\P(X=8) = 495 \times (0.167) \times (0.0016)\\\\P(X=8) = 0.1329[/tex]
Hence, The X is a binomial random variable is 0.1329.
To know more about Binomial click the link given below.
https://brainly.com/question/20910900
Select all of the following equations the number 80 will make true.
A. 320 ÷ □ = 40
B. 4,800 ÷ □ = 60
C. 7,200 ÷ □ = 900
D. 1,600 ÷ □ = 200
E. 3,200 ÷ □ = 40
Identify the slope and y-intercept 4y+6x=24 *
Answer:
Slope:
−
3
2
y-intercept:
6
Step-by-step explanation:
Pls Help
Write a rule and an equation to fit the pattern in the table. Then use the rule to complete the table.
Answer:
when m = 44, n = 4
when m = 77, n = 7
Step-by-step explanation:
m = 11n
answer:
rule and equation: m = 11n
the rest of the table:
44 | 4
77 | 7
-- please mark the brainliest and click the thanks button if correct :)
please help and show work
Step-by-step explanation:
Since PT = 2PM and AR = 2AD,
The midsegment MD must be the average of PA and TR:
Therefore we have
2(20x + 4) = 10 + (34x + 16)
=> 40x + 8 = 34x + 26
=> 6x = 18
=> x = 3
Hence length of MD
= 40(3) + 8 = 128.
$1.66 x 100 = ? I can't seem to find the correct answer and I must show my work
Answer:
166
Step-by-step explanation:
Answer:
$1.66x100 would be 166 or $166.
Step-by-step explanation:
Since you are multiplying by 100, you could move the decimal point to the right twice which would give you $166, or you could multiply normally.
Find the constant of proportionality for the table of values.
X/ 2 3 4 5
Y/ 9 13.5 18 22.5
The constant of proportionality is k =
What is the equation of the line in slope-intercept form?
Answer:
[tex]\bold{y=-\frac12x}[/tex]
Step-by-step explanation:
Slope-intercept form: y = mx + b
The line intersect Y-axis at y=0 so b = 0
The line passses through points (0, 0) and (2, -1), so the slope:
[tex]m=\dfrac{-1-0}{2-0}=-\dfrac12[/tex]
Therefore the equation:
[tex]y=-\frac12x+0\\\\y=-\frac12x[/tex]
Чx" Чx - 6
How do I do this ?
Answer:12
6
13
12
12
Step-by-step explanation:
Answer:
should be 16X^2-6
Step-by-step explanation:
4x times 4x is 16x^2
btw you never really stated which function to solve with so this is the most optimal answer
2^2 + 4 (5) - 7 x 2 =
City Dealership paid $12,000 for a car. To make a profit, they need to sell it for 32% more than what they paid. What is the new price of the car?
Answer is $15,840.00
................
I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work
2x+3y=32
5x-4y= -81
Solving for x on the question - 2x + 3y = 32 | Answer : x = [tex]\frac{-3}{2}[/tex]⁻y + 16Solving for y on the question - 2x + 3y = 32 | Answer : y = [tex]\frac{-2}{3}[/tex]x + [tex]\frac{32}{3}[/tex] Solving for x on question - 5x - 4y = -81 |Answer : x = [tex]\frac{4}{5}[/tex]y + [tex]\frac{-81}{5}[/tex]
Solving for y on question - 5x - 4y = -81 |Answer : y = [tex]\frac{-5}{4}[/tex]x + [tex]\frac{81}{4}[/tex]Step-by-step explanation:
(Solving for x on question - 2x + 3y = 32)
2x + 3y = 32
Step 1: Add -3y to both sides.
2x + 3y + −3y = 32 + −3y
2x = −3y + 32
Step 2: Divide both sides by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{-3y+32}{2}[/tex]
x = [tex]\frac{-3}{2}[/tex]⁻y + 16
(Solving for y on question - 2x + 3y = 32)
2x + 3y = 32
Step 1: Add -2x to both sides.
2x + 3y + −2x = 32+ −2x
3y = −2x + 32
Step 2: Divide both sides by 3.
[tex]\frac{3y}{3}[/tex] = [tex]\frac{-2x+32}{3}[/tex]
y = [tex]\frac{-2}{3}[/tex]x + [tex]\frac{32}{3}[/tex]
(Solving for x on question - 5x - 4y = -81)
5x − 4y = −81
Step 1: Add 4y to both sides.
5x − 4y + 4y = −81 + 4y
5x = 4y − 81
Step 2: Divide both sides by 5.
[tex]\frac{5x}{5}[/tex] = [tex]\frac{4y-81}{5}[/tex]
x = [tex]\frac{4}{5}[/tex]y + [tex]\frac{-81}{5}[/tex]
(Solving for y on question - 5x - 4y = -81 )
5x − 4y = −81
Step 1: Add -5x to both sides.
5x − 4y + −5x = −81 + −5x
−4y = −5x − 81
Step 2: Divide both sides by -4.
[tex]\frac{-4y}{-4}[/tex] = [tex]\frac{-5x-81}{-4}[/tex]
y = [tex]\frac{-5}{4}[/tex]x + [tex]\frac{81}{4}[/tex]
A 14 1/2 foot by 30 foot concrete wall is to be built using concrete blocks. Find the area of the wall
Answer:
The area of the wall is 435 square foot.
Step-by-step explanation:
a) Data and Calculations:
One side of the wall (height) = 14 1/2 foot = 14.5 foot
The second side of the wall (length) = 30 foot
The area of the wall = height * length
= 14.5 * 30
= 435 square foot
b) The area of a wall is usually obtained by Height x Length. It uses the same standard formula of (Length) x (Width) for calculating the area of any surface, only that this time, the width changes to height because of the nature of the wall.
A carpenter has at most $250 to spend on lumber. The inequality 8x+12y≤250 represents the numbers x of 2-by-8 boards and the numbers y of 4-by-4 boards the carpenter can buy. Can the carpenter buy twelve 2-by-8 boards and fourteen 4-by-4 boards?
Answer:
No, (12, 14) this is not a solution of the inequality
Step-by-step explanation:
(x, y)
x = 12 2-by-8 boards
y = 14 4-by-4 boards
(12, 14)
8x + 12y <= $250
This means that a 2-by-8 board cost $8 each, while a 4-by-4 board cost $12 each.
8(12) + 12(14) <= 250
96 + 168 <= 250
264 <= 250
264 is not less than or equal to 250
A $500 TV is 15% off.
How much will you
save if you buy it?
Answer:
75
Step-by-step explanation:
Have a great day mark me branly
Answer:
You will save $75 dollars if you buy it.
Step-by-step explanation:
$500 - 0.15 x $500 = $425
$500 - $425 = $75
Hope this helps!
brainliest, pls help
