6
Triangle MNP and triangle JKL are similar right triangles.
K к
L
р
Which proportion can be used to show that the slope of IL is equal to the slope of MP?
A 0 - (-7)
4- (-4)
-4 - (-10)
8- (-1)
C 0 - (-4)
4- (-7)
-4-(-1)
8- (-10)
B
0 - 4
4-(-7)
--4-8
- 1 - (-10)
D4=(27) = -1-(-10)
4 - 8
Answers
Answer:
its b
Step-by-step explanation:
The proportion that can be used to show that the slope of JL is equal to the slope of MP is (0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))
How to determine the proportion that can be used to show that the slope of JL is equal to the slope of MP?From the question, we understand that triangle MNP and triangle JKL are similar right triangles.
This means that triangle MNP and triangle JKL have the same slope
From the figure, we have the following coordinates of the triangles
J = (-7, 4)
L = (-4, 0)
M = (-10, 8)
P = (-1, -4)
The slope is calculated as
Slope = (y2 - y1)/(x2 - x1)
So, we have
JL = (0 - 4)/(-4 - (-7))
Also, we have
MP = (-4 - 8)/(-1 - (-10))
Equate both equations
So, we have
(0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))
Hence, the proportion that can be used to show that the slope of JL is equal to the slope of MP is (0 - 4)/(-4 - (-7)) = (-4 - 8)/(-1 - (-10))
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Related Questions
if the line 2x+3y=6 is perpendicular to the line ax+4y=3, then a=?
Answers
Answer:3y=−2x+12
y=(−2x+12)/3
y=-2x/3+4
m=-2/3
perpendicular -1/m=3/2
y=mx+c
y=3/2x+12
2y=3x+12
Step-by-step explanation:
I don’t understand I need help
Answers
Answer:
3/29
Step-by-step explanation:
area of total rectangle is 12x8 or 96 sq cm
area of shaded square is 9
96 - 9 = 87 sq cm, which is area of unshaded region
9 out of 87 is the probability of selecting a point in the shaded region, which simplifies to 3/29
Answer:
lol i see r o b l o x
Step-by-step explanation:
Rectangle = bxh
thats is 96
the we know that the square in the middle is 3x3x3x3 or 81
then subtract the two which is 15
The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly of the workers interviewed are union members
Answers
Answer:
The probability that exaclt x of the members are union members from the n interviewed is given by:
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Step-by-step explanation:
For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
About 96% of all workers employed by the university belong to the workers' union.
This means that [tex]p = 0.96[/tex]
What is the probability that exactly of the workers interviewed are union members
We want probability of x, from n workers interviewed. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]
Find the volume of the cone.
Answers
Answer:
[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]
[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]
[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]
[tex]v = 256\pi \: cm {}^{3} [/tex]
Before dividing, decompose 420 to make it easier to divide by 4.
Answers
what does l-7l mean and whats its value NEED HELP
Answers
• Which graph represents the inequality 3 > 15?
Answers
Answer:
The second one
Step-by-step explanation:
6. Let f(x) = 2x5/2 and g(x) = 4x2 Find (f/g)(x). Please show work.
Answers
Answer:
8,9,10
Step-by-step explanation:
31. A business rents cars for $150 a day and vans for $300 a day. One day it rented a total of 30 vehicles and
made a total $5700. How many cars and vans did the business rent that day?
A 8 cars and 22 vans.
B 10 cars and 20 vans
C 20 cars and 10 vans
D 22 cars and 8 vans
Answers
Answer:
D. 22 Cars and 8 Vans
Step-by-step explanation:
1. You multiply 22 x 150 = 3,300.
2. Then you multiply 300 x 8 = 2,400.
3. Next, add 3,300 + 2,400
4. That equals 5700.
Hopefully, that helps!
If g(x) is 11 then what is x
Answers
, then g'(x) is equal to
Solution :
differentitate wrt x
(f(g(x))) = 1 + (g(x))^5
g'(x) = 1 + (g(x))^5
Solve |-x + 4 | = | 2x - 2| by graphing
P/s: if possible show me how to do it T-T
Answers
If we test ±2 we get the following:
x = 2; | -(2) + 4 | = | 2(2) - 2 |, | 2 | = | 2 |, 2 = 2
Now we test
X = -2; | -(-2) + 4 | = | 2(-2) - 2 |, | 6 | = | -6 |, 6 = 6
Both +2 and -2 work.
What is the area of the triangle?
8
4
Answers
8x4=32
32 divide by 2 is
16
Can someone please help me I need help
Answers
Answer:
1/2
Step-by-step explanation:
area of entire rectangle = 20(8) = 160 sq in
the two triangles are congruent and each have a base of 10 and a height of 8, so their combined area is 80
80/160 = 1/2
At a state university on the west coast, 13% of undergraduate students are of Asian origin. Among students of Asian origin, 11% major in Humanities, 7% in Social Sciences, 31% in Biological and Physical Sciences, 36% in engineering, and the remaining 15% in Business. Among students of other ethnicities, 19% major in Humanities, 16% in Social Sciences, 12% in Biological and Physical Sciences, 18% in engineering, and the remaining 35% in Business. One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
Answers
Answer:
0.9398 = 93.98% probability that the student is not of Asian origin.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Business student
Event B: Not of Asian origin.
Probability that the student is an undergraduate majoring in business.
15% of 13%(Of Asian origin).
35% of 100 - 13 = 87%(Not of Asian origin). So
[tex]P(A) = 0.15*0.13 + 0.35*0.87 = 0.324[/tex]
Business student and not of Asian origin:
35% of 87%. So
[tex]P(A \cap B) = 0.35*0.87 = 0.3045[/tex]
One undergraduate student majoring in Business is randomly selected from this university. Find the probability that the student is not of Asian origin.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3045}{0.324} = 0.9398[/tex]
0.9398 = 93.98% probability that the student is not of Asian origin.
Fewer young people are driving. In 1995, 63.9% of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in
Answers
Answer:
A. 0.0272
B. 0.0278
C. No
Step-by-step explanation:
a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.639
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.639 * (1 - 0.639)/1200)
Standard error(SE)= 0.0139
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0139
Margin of Error = 0.0272
Therefore the Margin of Error is 0.0272
b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.417
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.417 * (1 - 0.417)/1200)
Standard error(SE)= 0.0142
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0142
Margin of Error = 0.0278
Therefore the Margin of Error is 0.0278
c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.
x-8= -12 what is x in the equation
Answers
Answer:
-4
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
Isolate the variable x
x - 8 = -12
To isolate the variable, add 8 to both sides (this cancels the 8 out on the left side)
x - 8 + 8 = -12 + 8
x + 0 = -4
x = -4
What is the answer to the question
WILL MARK BRAINLYEST
Answers
Answer:
10
Step-by-step explanation:
3^3-5^2+8 = 10
Answer:
6
Step-by-step explanation:
Question: What is g³ - h² + 8, when g= 3, h = 5
Substitute the given values
3³ - 5² + 8
Simplify exponents- remember, 3³ = 3 * 3 * 3, and 5² = 5 * 5
27 - 25 + 8
Simplify
-2 + 8 =
6
I hope this helps! Feel free to ask any questions! :)
A cyclist starts from the point si = (7, 7, 4) at t = 0 and moves with a constant velocity of v → =(4, 5, 5) and cyclist motion can be depicted by the expression, s = si + vt which gives position vector of cyclist. Determine the distance travelled by the cyclist between t = 4 s and t = 23 s. (Distance is in meters)
A. 154.36 m
B. 157.36 m
C. 152.36 m
D. 155.36 m
Answers
Answer:
A. 154.36 m
Step-by-step explanation:
I got it "Correct"
Answer:
A. 154.36 m
Step-by-step explanation:
Have a great day
98.8% of 668.49km NEED ANSWERS QUICK
Answers
Answer:
the answer would be 660.46812 km
Step-by-step explanation:
The computation is shown below:
According to the question it is mentioned what is the 98.8% of 668.49 km
So, it would be
= 98.8% of $668.49 km
= 98.8% × 668.49 km
= 660.46812 km
Hence, the answer would be 660.46812 km
A rectangular poster is 27 inches wide and 42 inches long. Which is the best estimate for the are of the poster in square inches?
Answers
Answer: hi how are you i
Answer:
30 inches wide by 40 inches long
Step-by-step explanation:
27 inches rounds up to 30 inches and 42 inches rounds down to 40 inches
Horatio recorded the daily high temperatures. On 66 days, the high temperature was greater than 88°F. This was 75% of the days that Horatio recorded. How many days was the high temperature less than or equal to 88°F?
Answers
Answer:
The answer is 22
Step-by-step explanation:
The total number of days recorded by Horatio was 88,
The number of days with high temperatures less than or equal to 88°F is 22 days.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We know that the high temperature was greater than 88°F on 75% of the days, which means it was less than or equal to 88°F on the remaining 25% of the days.
So we can set up an equation to solve for the number of days the high temperature was less than or equal to 88°F:
So,
25% x total number of days = number of days with high temperature less than or equal to 88°F
Or in other words:
0.25 x total number of days = number of days with high temperature less than or equal to 88°F
We are given that the number of days with high temperatures greater than 88°F is 66.
Let's use x to represent the total number of days:
0.25x = number of days with high temperature less than or equal to 88°F
0.25x = x - 66
(since the number of days with high temperatures less than or equal to 88°F is the remainder)
0.25x - x = -66
-0.75x = -66
x = 88
The total number of days recorded by Horatio was 88,
The number of days with high temperatures less than or equal to 88°F.
= 0.25 x 88
= 22 days.
Thus,
The total number of days recorded by Horatio was 88,
The number of days with high temperatures less than or equal to 88°F is 22 days.
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Which inequalities will have an open circle at -3
Answers
Margaret charges $60 for 2 hours of math tutoring. Lyndsay charges $100 for 4 hours of math tutoring Who offers a better deal?
Answers
Answer:
Lyndsay charges a better deal
Step-by-step explanation:
With Lyndsay charging $100 for 4 hours you get $20 off because 4 hours with Margaret charges $120.
Answer:
Margaret
Step-by-step explanation: Lyndsay charges 25 dollars an hour for tutoring while Margaret only charges 20 dollars an hour for tutoring. Therefore, Margaret has a WAY better deal, Lyndsay charges 5 more dollars then Margaret.
60 divided by 2: 20
100 divided b 4: 25.
{~} Izzy ∩﹏∩ {~}
All the prizes for the contest were won by Josh. Rewrite in an active voice.
Answers
Answer:
Josh won all the prizes for the contest
Step-by-step explanation:
determine the scale factor
Answers
Answer:
The scale factor is (2/3)
Step-by-step explanation:
[tex]9 \times \frac{2}{3} = 6 \\ 12 \times \frac{2}{3} = 8[/tex]
I hope that is useful for you :)
34. CONSTRUCTION A construction worker is working on the roof of a
building. A drop of paint falls from a rafter that is 225 feet above the
ground. After how many seconds does the paint hit the ground?
Answers
Answer:
t = 6.77 s
Step-by-step explanation:
Given that,
A drop of paint falls from a rafter that is 225 feet above the ground.
We need to find the time when the paint hit the ground. Let the time be t.
Using the second equation of kinematics i.e.
[tex]s=ut+\dfrac{1}{2}at^2[/tex]
Where
u = 0 (initial velocity is 0 as it was at rest)
a = g
So,
[tex]225=\dfrac{1}{2}\times 9.8t^2\\\\t=\sqrt{\dfrac{2\times 225}{9.8}} \\\\t=6.77\ s[/tex]
So, it will hit the ground at 6.77 s.
From a collection of 52 store customers, 3 are to be chosen to receive a special gift. How many groups of 3 customers are possible?
Answers
Answer:
132,600 possibilities
Step-by-step explanation:
The first one chosen can be 1 of 52
The 2nd one chosen is 1 out 51
And the 3rd chosen is 1 out 50
So...
52 x 51 x 50 = 132,600
There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.
What is a combination?It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
The number of groups of 3 customers that can be chosen from a collection of 52 store customers can be calculated using the combination formula:
nCr = n! / r!(n - r)!
where n is the total number of customers (52) and r is the number of customers chosen (3).
Substituting the values, we get:
52C3 = 52! / 3!(52 - 3)!
52C3 = 52! / 3!49!
52C3 = (52 × 51 × 50) / (3 × 2 × 1)
52C3 = 22,100
Therefore,
There are 22,100 groups of 3 customers that are possible from the given collection of 52 store customers.
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Find the radius of a circle if its center is (2,3) and one point on the circle is (5,3).
Answers
Answer:
Step-by-step explanation:
radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²] = 3
The required radius of the circle is
center is (2,3)
point on the circle is (5,3).
What is radius?
Radius of the circle is the distance between the center to the circumference.
Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]
Radius = [tex]\sqrt{4}[/tex]
Radius = 2
Thus, the required radius is 2 .
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Solve 3x + 2y = 11 for y
Answers
Answer:
y=-3/2x+5.5
Step-by-step explanation:
Subtract 3x from both sides. You are left with 2y=-3x+11. To isolate the y by itself, divide by 2 on both sides. you are left with y=-3/2x+5.5
What percent is equivalent to 1/10?
Answers
Answer: 10%
Step-by-step explanation:
1/10 is equal to .10 or 10%
Answer:
10%
Step-by-step explanation:
Divide 1 by 10 and you get 0.10 :)