The angle measurements in the diagram are represented by the following expressions
Helpp
Answers
Answer:
5x-15 = 2x+21
x=12
Step-by-step explanation:
Vertical and Corresponding Angles can be used to prove so.
Related Questions
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]
What do you call a characteristic of a living thing that helps it survive?
Answers
Answer:
An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing
The one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.
What is adaptation?Adaptation for the living thing is the main characteristics which help a living thing to be alive. It helps the living things to survive in its environment.
Importance of adaptation-
Organism are adapted to habitual thing, which help them to survive.Help to behave in changing environment.Enhance the standard of living.Thus, the one characteristic of a living thing which helps it to survive is an adaptation. This help to survive an organism in its environment.
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What is the sum of the length of the longest meteor and the length of the shortest meteor? (4 points)
A line plot with the title, length of meteors. The data is measurement in inches. The line plot goes from two eighths to one and seven eighths, with fourteen tick marks in all. The first tick mark is two eighths and has one data point. The second tick mark is three eighths and has three data points. The third tick mark is four eighths and has two data points. The fourth tick mark is five eighths and has no data points. The fifth tick mark is six eighths and has two data points. The sixth tick mark is seven eighths and has no data points. The seventh tick mark is one and has no data points. The eighth tick mark is one and one eighth and has no data points. The ninth tick mark is one and two eighths and has one data point. The tenth tick mark is one and three eighths and has two data points. The eleventh tick mark is one and four eighths and has no data points. The twelfth tick mark is one and five eighths and has no data points. The thirteenth tick mark is one and six eighths and has two data points. The fourteenth tick mark is one and seven eighths and has one data point.
a
one and one eighth inches
b
two and one eighth inches
c
five and one eighth inches
d
nine and one eighth inches
Answers
Answer:
two and one eighth inches
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.
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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Find the value of each trigonometric ratio
Answers
How many miles will Mrs. Garcia drive in eight hours if she is traveling 65 mph? _ miles
Answers
Answer:
520 miles
Step-by-step explanation:
65 mph * 8 hours = 520 miles
I hope this helps :)
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.
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answers
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]
Which inequalities will have an open circle at -3
Answers
Bentley had 17 pencils. Kerry
had 32 pencils. How many
more pencils does Kerry have
than Bentley?
Answers
Bentley had 17 pencils. Kerry
had 32 pencils. How many
more pencils does Kerry have
than Bentley?
Solution:-Number of pencils Bentley had = 17 pencils.
Number of pencils Karry had = 32 pencils.
Number of pencils Karry have more than Bentley = 32 - 17 = 15
Answer:-Karry have 15 pencils more than Bentley.
Your test scores in one class are 79 and 83. What possible scores can you earn on your next test to have a test average between 81 and 87, inclusive?
Answers
Answer:
83 and 84
Step-by-step explanation:
these numbers will both work because if you make an equation 79+83+x=y, with 87≥y≥81, and plug in these numbers for x, the answers are around 82 which is within the range.
Please help me to see if this is correct
Answers
Answer:
You are correct
Step-by-step explanation:
Answer: yes, you are correct :)
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 :)
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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The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?
A. 48⁰, 42⁰
B. 28⁰, 62⁰
C. 36⁰, 62⁰
D. 48⁰, 28⁰
Answers
Answer:
The measures of two angles are 2x⁰ and (3x + 20)⁰. What is the measure of each angle if x = 14?
b 28 and 62
Whoever answers first will get marked Best!A cheetah runs 177 miles in 3 hours,at this rate how many hours will it take to travel 531 miles?
Answers
Answer:
9 hours
Step-by-step explanation:
brainliest plss???
Can someone answer and explain ill mark brainliest
Answers
Answer:
56 of the coins are dimes
Step-by-step explanation:
Dimes = D
Quarters = Q
D+Q=102
10D+25Q=1710
-10(D+Q=102)
-10D-10Q=-1020
+10D+25Q=1710
15Q-690
Q=46
D=102-46=56
CHECK 46(25)+56(10)=1150+560=1710 = YES
9
On a field trip, there are 3 adults for every 45 students. Which graph models a relationship with
the same unit rate?
А
с
101
9
10
9
8
7
7
6
5
4
b
6.
5
4
3
2
3
2
1
0
30
60
90 120 150
30
60 90 120 156
B
D
10T
9
8
10
9
6
5
Answers
Answer:
I believe the answer is C
Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and
15 cm.
O A. Knowing that 92 + 122 + 152draw the 5 cm side and the 9 cm side
with a right angle between them. The 15 cm side will fit to form a
right triangle
B. Knowing that 52 + 92 < 122 draw the 5 cm side and the 9 cm side
with a right angle between them. The 12 cm side will fit to form a
right triangle
C. Knowing that 92 + 122 = 152, draw the 9 cm side and the 12 cm
side with a right angle between them. The 15 cm side will fit to
form a right triangle.
D. Knowing that 92 + 122 = 1), draw any two of the sides with a right
angle between them. The third side will fit to form a right triangle.
Answers
Answer:it is C
Step-by-step explanation:
Look for Patterns Sally sees
a pattern in these numbers. Describe
the pattern.
500, 501, 502, 503, 504, 505
Answers
Answer:
Step-by-step explanation:
It is an arithmetic sequence. The nth term = 499 + n
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.
Help please help. Need answer ASAP. 15 points. Help help help.
Answers
Answer:
ㅜ료우료ㅠㅠㅗ프ㅡㅓ효유ㅠ슈유슈뤂ㄹ푸ㅛㅜㅠ로휴ㅜ휴ㅐㅓㄴㅁㄱ무홈
Step-by-step explanation:
쵸푳퓨추르ㅛㅛㅠ롰ㄹ류ㅗ슔ㄹㅅ휴ㅗ료ㅓㅕ
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 ∩﹏∩ {~}
Observa la siguiente tabla que muestra los precios de un libro de cuentos y sus
respectivos descuentos en cuatro librerías.
Libreria
Answers
Answer:
No conozco este pero puedo ayudarte con otros
Step-by-step explanation:
Based on the table given, the bookstore that discounts more pesos from the original price is Leer es saber.
Which bookstore has the highest discount?Discount from El cuentacuentos:
= 100 x 20%
= $20
Discount from Leer es saber:
= 125 x 25%
= $31.25
Discount from El librote:
= 80 x 5%
= $4.00
Discount from Imagina:
= 90 x 10%
= $9
The highest is therefore Leer es saber.
The rest of the question is:
Qué librería descuenta más pesos del precio original?
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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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what does l-7l mean and whats its value NEED HELP
Answers
A pizza dinner for $20 was marked down 20%. What was the new sale cost of the dinner?
Answers
Answer:
$16
Step-by-step explanation:
take 20 multiply it by 0.2 and you get 4 multiplied by 4 is 16 so it is 16 dollars
Question 3
5 pts
(05.01 MC)
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of
4.5? (5 points)
6 cm
H
8 cm
O Perimeter - 126 cm, area = 131.25 cm?
O Perimeter = 46 cm, area = 972 cm?
Perimeter = 126 cm, area = 972 cm2
Perimeter - 46 cm, area = 131.25 cm2
Answers
Answer:
Perimeter is 126cm and area is 972[tex]cm^2[/tex]
Step-by-step explanation:
Scale factor means you multiply the dimensions by the factor. In this case 4.5
The width 6cm becomes 27cm. The length 8cm becomes 36cm.
Perimeter = 2*L + 2*W, L is length and W is width.
[tex]P=27*2cm+36*2cm\\P=54cm+72cm\\P=126cm[/tex]
Area = L*W
[tex]A=27cm*36cm\\A=972cm^2[/tex]