Answer:
∠6 = 130°Step-by-step explanation:
the answer is 130.. because its a corresponding angles
that means corresponding angles are equal
∠2 = ∠6 = 130°In a sample of 1000 U.S. adults. 217 think that most celebrities are good role models. Two U.S. adults are selected from this sample without replacement.
Find the probability that both adults think most celebrities are good role models
(Round to three decimal places as needed.)
Find the probability that neither adult thinks most celebrities are good role models
(Round to three decimal places as needed.)
Find the probability that at least one of the two adults thinks most celebrities are good role models
(Round to three decimal places as needed)
Answer:
(a) 0.047
(b) 0.613
(c) 0.387
Step-by-step explanation:
In a sample of 1000 U.S. adults 217 think that most celebrities are good role models.
The proportion of U.S. adults who think that most celebrities are good role models is, p = 0.217.
Two U.S. adults are selected from this sample without replacement.
Let X denote the number of U.S. adults who think that most celebrities are good role models.
Both the individuals are independent of each other.
The random variable X follows a binomial distribution with parameters n = 2 and p = 0.217.
The probability mass function of X is:
[tex]P(X=x)={2\choose x}(0.217)^{x}(1-0.217)^{2-x};x=0,1,2[/tex]
(a)
Compute the probability that both adults think most celebrities are good role models as follows:
[tex]P(X=2)={2\choose 2}(0.217)^{2}(1-0.217)^{2-2}\\=1\times 0.047089\times 1\\=0.047[/tex]
Thus, the probability that both adults think most celebrities are good role models is 0.047.
(b)
Compute the probability that neither adult thinks most celebrities are good role models as follows:
[tex]P(X=0)={2\choose 0}(0.217)^{0}(1-0.217)^{2-0}\\=1\times 1\times 0.613089\\=0.613[/tex]
Thus, the probability that neither adult thinks most celebrities are good role models is 0.613.
(c)
Compute the probability that at least one of the two adults thinks most celebrities are good role models as follows:
[tex]P(X\geq 1)=1-P(X<1)\\=1-P(X=0)\\=1-0.613\\=0.387[/tex]
Thus, the probability that at least one of the two adults thinks most celebrities are good role models is 0.387
How do you find the slope-intercept form from two points?
Answer:
Rise over run.
Step-by-step explanation:
If you have learned rise over run you will get it.
9. Mr. Stevenson is ordering shirts and hats for his Boy
Scout Troop. There are 60 scouts in the troop.
Hats come in packs of 3, and shirts come in packs of
5. What is the least number of packs each he
should order so that each scout will have 1 hat and
1 shirt, and none will be left over?
Answer:
20 hat packs and 12 shirt packs
Step-by-step explanation:
Scout total troops of boys is 60
Hat come in packs is 3 and shirts come packs of 5 .Thus answer to above question 20 hats and 12 shirts at least
Explanation:
At least no of hats -60/3-20
at least no of shirts -60/5-12
Thus we conclude that the total of at least shirts 12 and hats is 20 is true
To know more about troops
https://brainly.com/question/12539881?referrer=searchResults
7) Order the numbers from least to greatest.
A. 6.66
B. 6.07
C. 7
D. 6.32
the Answear is B,D,A,C
a pizzeria had 4 cans of tomato sauce how many pizzas could they make with the cans if each pizza took one fourth of a can
Answer:
16 pizzas.
Step-by-step explanation:
That is 4 divided by 1/4
= 4 * 4/1
= 16.
Answer:
16
Step-by-step explanation:
There are 4 pizzas per can and you have 4 cans.
4 x 4 = 16
ms.khan ask her math students to find an equation of a line which has a graph parallel to line y=-2x+1 and which passes through the point (4,-2) n
2x+y=0
2x+y=6
x-2y=-10
x-2y=8
Answer:
y=-2x+b
-2=-8+b
6=b
y=-2x+6
so
2x+y=6
If a polygon is a pentagon, then it has 5 sides hypothesis conclusion
Answer:
Hypothesis
Step-by-step explanation:
a polygon has five sides Conclusion: it is a pentagon If a polygon has five sides, then it is a pentagon.
hope this helps
what is the length of the missing side , x
Answer:
Yes please i really need it
Step-by-step explanation:
write an equivalent fraction of 4/5 with the denominater 25
Answer:
20/25
Step-by-step explanation:
to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25
Which coordinate pair is a solution of the linear
equation below?
-X + 3y = 21
Click on the correct answer.
(3,-8)
(-3,8)
(3,8)
Answer:
slope is 4/3 and y intercept is -7
Step-by-step explanation:
3y+21=4x.........now subtract 21 from each side
3y=4x-21......now divide all terms by 3
y=%284%2F3%29x-7......there ya go ...slope is 4/3 and y intercept is -7
Answer:
B (-3,8)
Step-by-step explanation:
awnser A is incorrect because if you switch out the x for 3 and the y for -8. The equation would look like -3+3×(-8)=21. and after multiplying 3×-8 which equals -24. The equation turns into -3+(-24)=21 . And after adding -3 and -24 you get -27=21
awnser B is correct because if you switch out the x for -3 and the y for 8. The equation would look like -3+3×8=21. After multiplying 3×8 which equals 24. The equation turns into -3+24=21. And after adding -3and 24 which is pretty much subtracting you get 21=21.
Best apologies if incorrect
Which of the following is equal to the opposite of −45?
−|45|
−|−45|
−(−45)
−45
Which of the following statements does not represent the same value as the others?
the absolute value of 9
the absolute value of negative 9
the opposite of 9
the distance between 0 and −9
All of the following are true statements except _____.
|−93| = −93
|−93| = 93
−|93| = −93
|93| = 93
If you move from zero to 15 on the number line, you are representing all of the following except _____.
the absolute value of 15
the distance between zero and 15
the opposite of −15
the opposite of 15
All of the following expressions are equal to N except _____.
−(− N )
− N
| N |
|− N |
Answer:
The first one
Step-by-step explanation:
According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]
Compute the probability that a randomly selected peanut M&M is not yellow.
Compute the probability that a randomly selected peanut M&M is brown or red.
Compute the probability that three randomly selected peanut M&M’s are all brown.
If you randomly select three peanut M&M’s, compute that probability that none of them are blue.
If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
P(brown) = 12% = 0.12
P(Yellow) = 15% = 0.15
P(Red) = 12% = 0.12
P(blue) = 23% = 0.23
P(orange) = 23% = 0.23
P(green) = 15% = 0.15
A.) Compute the probability that a randomly selected peanut M&M is not yellow.
P(not yellow) = P(Yellow)' = 1 - P(Yellow) = 1 - 0.15 = 0.85
B.) Compute the probability that a randomly selected peanut M&M is brown or red.
P(Brown) or P(Red) :
0.12 + 0.12 = 0.24
C.) Compute the probability that three randomly selected peanut M&M’s are all brown.
P(brown) * P(brown) * P(brown)
0.12 * 0.12 * 0.12 =0.001728
D.) If you randomly select three peanut M&M’s, compute that probability that none of them are blue.
P(3 blue)' = 1 - P(3 blue)
P(3 blue) = 0.23 * 0.23 * 0.23 = 0.012167
1 - P(3 blue) = 1 - 0.012167 = 0.987833
If you randomly select three peanut M&M’s, compute that probability that at least one of them is blue.
P(1 blue) + p(2 blue) + p(3 blue)
(0.23) + (0.23*0.23) + (0.23*0.23*0.23)
0.23 + 0.0529 + 0.012167
= 0.295067
HELP ME PLEASE I ALREADY GRAPHED IT BUT PLEASE ANSWER THE QUESTION BELOW
Answer:
32ed
Step-by-step explanation:
2x + 7 = 13
Please help
Answer:
x=3
Step-by-step explanation:
Hope this helps u..
Owen earns a base salary of $925 per month as a salesman. In addition to his salary, he earns $85 per product that he sells. If his goal is to earn more than $4,500 per month, how many products does he need to sell? what would be the problem and solution?
Answer:
43
Step-by-step explanation:
(i need this ASAP)
Which of the following is an
arithmetic sequence?
A 1, 3, 6, 10, 15, …
B −8, −11, −14, −17, −20, …
C 48, 24, 12, 6, 3, …
D 1, 12, 123, 1234, 12345, …
Answer:
A
Step-by-step explanation:
is there a need for explanation
Martha earns $24 in four hours. How much would she
earn in 10 hours?
Answer:
$60
Step-by-step explanation:
24/4=6
6*10=60
Answer:
$60
Step-by-step explanation:
24 ÷ 4 = 6
6 × 10 = 24
she makes $6 an hour. $60 in ten hours.
Does anyone stan Twice??
Answer:
This is literally me.
Step-by-step explanation:
Question 1
1 pts
A high school gym teacher records how much time each student requires to complete a one-mile run.
This
is an example of measuring a continuous variable.
Answer:
True : It is an example of a continuous variable
Step-by-step explanation:
Numerical variables acn be classed as either being discrete or continuous based on whether the values in the data set are finite and countable or not.
Discrete variables are characterized by possessing a finite number of possible values which are countable and usually do not involve decimal numbers in between successive whole numbers.
On the other hand continuous variables are non finite and usually contains a lot of points in between possible whole numbers such as in the scenario above, the race time for the students take up any number within minutes, seconds and milliseconds. Hence, making the possible Numner of values impossible to predict or state.
Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 65% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 35%. There is only a 75% chance that she will find a tutor at such short notice. a. What is the probability that Christine fails the course? (Round your answer to 4 decimal places.)
Answer:
0.49
Step-by-step explanation:
We apply conditional probability to solve this question.
We have Events X and Events Y
P(X) = Probability Christine fails the course = ??? Unknown
P(Y) = Probability Christine finds a tutor
= 0.35
P(Y') = Probability Christine does not find a tutor = 1 - 0.35 = 0.75
P(X|Y) = Decrease in her probability of failing = 0.35
P(X|Y') = Probability that she will fail the course if she does not have a tutor
P(X) = P(X|Y) × P(Y) + P(X|Y') × P(Y')
P(X) = 0.35 × 0.75 + 0.65 × 0.35
P(X) = 0.2625 + 0.2275
P(X) = 0.49
The probability that Christine fails the course is 0.49
what is the rectangular prism of 2 units and 7 1/3
Answer:
it could be 14 2/6 units squared
Step-by-step explanation:
idkI don’t know but for area is units squared and for volume it has units cubed
Convert 2 days into months. Round your answer to the nearest hundredth.
Answer:
0.0657534
Step-by-step explanation:
divide 2 by 30.417
Which point represents the opposite of –2?
A number line going from negative 5 to positive 5. Point A is at negative 2, point B is between negative 1 and 0, point C is between 0 and 1, and point D is at 2.
A
B
C
D
Answer:
Point D
Point D is at 2, the absolute value of -2.
2 is the opposite of -2, and D is at 2.
So, the answer must be option D.
Hope this helps!
Answer:
d
Step-by-step explanation:
A dentist sees a patient every 20 minutes. He works an average of 60 hours per week. How many patients does he see in a year. He takes 3 weeks vacation. Round your answer down.
Answer:
1040
Step-by-step explanation:
what are the steps we should follow to solve and equation
Use substitution to solve the following systems of equations:
-3x -4y = 2
5x + 5y = -5
O (4,3)
O (-3, 2)
O (3, 2)
O (-2, 1)
A math class consists of 26 students, 14 women, 10 men, and 2 non-binary. Two students are selected at random to participate in a probability experiment. Compute the probability that:
Answer:
there's a higher probability for females
Round 24.9652 to
1 decimal Place
Answer:
2.5 one decimal rounding off means to make it to one decimal place.the no is 24.9652 if you want to round of then you have to put decimal after 2 only then it will be one decimal place .this is because when we see a number after the point greater than 5 then we add 1 to the right side .now if we add 1 to the right side of 24.9652 by rounding off and making it to one decimal place then it will be 2.5.
Write 45%of m as an expression
Answer:
nh
Step-by-step explanation:
Plz help i only need c im confused lol 6th grade history
Answer:
War
Step-by-step explanation:
Criminals