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]
3x^2+xy factorise it
Answer:
The factorized expression is [tex]x(3x + y)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]3x^2 + xy[/tex]
Factorizing:
We place the common factor in evidence.
The common factor of both elements of the sum is x. So
[tex]3x^2 + xy = x(\frac{3x^2}{x} + \frac{xy}{y}) = x(3x + y)[/tex]
The factorized expression is [tex]x(3x + y)[/tex]
Mrs. Bentiez earns $3,400 every month. She spends 25% of her earnings on rent and saves 12% on food, she saves the rest of her money. How much does Mrs. Bentiez save each month?
Answer:
$2244
Step-by-step explanation:
The following system of inequalities shows the relationship between two numbers, where the value of x is less than the value of y,
and both numbers are integers.
Which solution is valid within the context of the situation?
Answer:
(-1,5)
Step-by-step explanation:
can somebody help me with this
Answer:
[tex]y = -x^2+3x+4[/tex]
Step-by-step explanation:
( -1, 0) , (0, 4) , (4, 0)
y = a(x − b)(x − c)
x-intercept = -1
x = -1
(x + 1) = 0
x-intercept = 4
x = 4
(x - 4) = 0
y = (x + 1)(x - 4)
4 = a(0 + 1)(0 - 4)
4 = a (1)(-4)
4 = -4a
a = -1
y = -1(x + 1)(x - 4)
[tex]y = -x^2+3x+4[/tex]
(1 p 18. Demarcus drew a pair of complementary angles. He drew one angle that had a measure of 48º. What was the measure of the other angle he drew? 42° 48° O 132° O 138°
Answer: 42
Step-by-step explanation:
Complementary angles are angles in which the sums equal 90.
90 - 48 = 42.
How do I find the x? Please and thank you!
Answer:
x = 9
Step-by-step explanation:
The two opposite interior angles that are opposite to the exterior angle are congruent as shown in the diagram.
Therefore, based on the exterior angle theorem of a triangle, we have the following equation:
2(7x + 2)° = (17x - 23)
14x + 4 = 17x - 23
Collect like terms
14x - 17x = -4 - 23
-3x = -27
Divide both sides by -3
-3x/-3 = -27/-3
x = 9
Evaluate f(4) for the function f(x)=3x-5
A.12
B.7
C.9
D.17
the answer is b.7
Step-by-step explanation:
because you have to plug in the f(4) to the equation like this
f(4)=3(4)-5
and then multiple 3x4 which is 12 then subtract 12 and 5 and you get 7.
Please someone explain how to solve this piecewise function!!!! Im super confused
Answer:
From top to bottom:
[tex]0, 1, 2, -8, -8[/tex]
Step-by-step explanation:
We are given the piecewise function:
[tex]g(x) = \left\{ \begin{array}{ll} 0.5x+1 & \text{if } x \leq 2 \\ -8 & \text{if } x > 2 \end{array} \right.[/tex]
Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:
[tex]g(-2)=0.5(-2)+1=-1+1=0[/tex]
Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:
[tex]g(0)=0.5(0)+1=1[/tex]
Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:
[tex]g(2)=0.5(2)+1=1+1=2[/tex]
Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
[tex]g(4)=-8\text{ and } g(6)=-8[/tex]
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer: no solution
Step-by-step explanation:
They have the same slope which means they are parallel lines that will never cross or intersect. This mean that there is no solution
if the line 2x+3y=6 is perpendicular to the line ax+4y=3, then a=?
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:
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1900. How long did each mechanic work?
i need help with everything please if you help you are a legend
Answer:
you got this
Step-by-step explanation:
go with your gut and you sure can win
Answer:
I can help.
Step-by-step explanation:
3a is closer to 1, because 12/12 is 1. and 6/12 is 1/2
3b is closer to 0, because 0/6 is o. and 3/6 is 1/2.
3c is 1 and 1 1/12
11/12 + 1/6
find the common denominator. 12. 6×2 and 1×2 then add straight across.
hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz
Answer:
i will take company (a) because they are giving in less rate
Answer:
You would want to go with A
Step-by-step explanation:
If you do plan a it is 180 dollars a year when you spend 15 dollars per GB, B is cheaper on the other hand because it is 75 dollars a month so therefore 900 dollars a year
A is cheaper
HELP ASAP I WILL MARK BRAINLIST!!!!!
Answer:
45°
Step-by-step explanation:
Given,
x° = (90-x)° [Alternate exterior angles]
=> 90 - x = x
=> 90 = x + x
=> 90 = 2x
[tex] = > x = \frac{90}{2} [/tex]
=> x = 45°(Ans)
7. Richard deposited $5400 and got back an amount of $6000 after 2 years.
Find Richard's interest rate.
Answer:
600
Step-by-step explanation:
identify the like terms 4b, 8, 2b, 1
Answer:
4b & 2b are like terms
Step-by-step explanation:
Question 1b.
The distribution is...
i. Reasonably symmetric
ii. Abnormal
iii. Highly Skewed
iiii. Bimodel
Answer: i) Reasonably symmetric
=============================================================
Explanation:
The data set is
35,40,45,49,51,54,57,58,58,64,68,68,75,77
Erase the outer pair of values (35 and 77) to end up with this smaller set
40,45,49,51,54,57,58,58,64,68,68,75
Repeat and erase off the outer values (40 and 75) to end up with
45,49,51,54,57,58,58,64,68,68
Keep going until we have either one or two elements left
49,51,54,57,58,58,64,6851,54,57,58,58,6454,57,58,5857,58At this point, we see that the center is between these two last values. So the median is (57+58)/2 = 57.5
--------------------------------
The center is at 57.5
Let L = {35,40,45,49,51,54,57} consist of the set of numbers lower than the median
Let U = {58,58,64,68,68,75,77} be the upper set of values larger than the median.
The middle of set L is 49 and the middle of set U is 68. So Q1 and Q3 are 49 and 68 respectively.
From that, we see the IQR = Q3 - Q1 = 68-49 = 19
Let A and B be the lower and upper fence
We would then say
A = Q1 - 1.5*IQR = 49-1.5*19 = 20.5
B = Q3 + 1.5*IQR = 68 + 1.5*19 = 96.5
Notice how all of the given data values are between A = 20.5 and B = 96.5, which means we don't have any outliers.
Furthermore, if we plotted a box-and-whisker plot (see below), we can see that the two whiskers are fairly the same length. It's not perfect but they're reasonably symmetric. Similarly, the median is somewhat in the middle of the box itself. So this gives a rough idea that the data set we're dealing with is fairly symmetric.
More confirmation can be in the form of a histogram which is also part of the image below. This histogram is fairly symmetric as the left half is nearly (not perfectly) a mirror image of the right half, and vice versa. No one side pulls too far out to create a highly skewed distribution.
I need help please will mark the brainliest
Answer:
im not smart
Step-by-step explanation:
i need points
Choose 3 values that would make this inequality true: 8 + y ≥ 11
ps help lol
The Difference of 4 and k, divided by 16.
Answer:4-k÷6
Step-by-step explanation:
Answer pls thank you
Answer:
I got 5.19.
Step-by-step explanation:
With this number there is no way to get a perfect sqaure. When you square root it, you get a decimal. If there's an option where it says no perfect square I'd suggest putting that
Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and fall 3°C in February, which of the following equations can he use to find the sum of the temperatures for those months? Check all that apply.
[6 + 3] + 5 = 14
(–5) + [3 + 6] = –4
[(–5) + (–3)] + 6 = –2
5 + [(–6) + (–3)] = –4
[6 + (–5)] + (–3) = –2
[(–5) + 6 ] + (–3) = 4
Answer:
[(–5) + (–3)] + 6 = –2
[6 + (–5)] + (–3) = –2
Step-by-step explanation:
Look at the image below!
Hoped I helped :3 Sorry if wrong :( Mark brainiest if correct! Your bootiful/handsome! Have a great day luv <3
-Bee~
Answer:
C and E
Step-by-step explanation:
i got it right on edge just now
Is tu parallel to vw? Explain.
O no, because both lines have a slope of
no, because the slopes of the lines are not equal
O yes, because both lines have a slope of 2
O yes, because the slopes of the lines are not equal
Answer: C
Step-by-step explanation:
Answer:
C. yes, because both lines have a slope of 2/3
Step-by-step explanation:
What is the slope of the line in the graph?
Answer:
1 is the answer 1/1 because it goes one up and one right
Answer:
1
Step-by-step explanation:
First choose any 2 points in the line for example ( 2,3 ) ( 3,4 )
[tex]\frac{3-4}{2-3}[/tex] = 1
what fraction is 15 minutes of 1 hour explain also
Answer:
1/4
Step-by-step explanation:
15+15+15+15= 60
i hope this helps
Answer:
The answer is 1/4
Step-by-step explanation:
1 hour = 60 minutes
Therefore;
Fraction of 15 minutes with respect to 1 hour is;
15 minutes/ 1 hour
=15 minutes/60 minutes
=1/4
Therefore the answer is 1/4
Hope this helps.
Pls help me with this problem. Also the answer has to be in terms of pi
Factor the following polynomials: a^2+a+72
Answer:
72 + a (1 + a)
Step-by-step explanation:
Which repeated series equals 8×10⁴
8×10×4
8×10+10+10+10
8×10×10×10×10
8×4×4×4×4×4×4×4×4×4×4
Answer: 8×10×10×10×10
Step-by-step explanation: Hope this helps :)
Answer:
8×10×10×10×10
Step-by-step explanation:
this one
Have a nice day and I hope I helped you:)
Rodney has $450 in his bank account. He is spending $20 per week. Which of the following equations represents the amount of money, M, in Rodney's account after w weeks?
Answer: M = -20w + 450
Step-by-step explanation:
M = -20w + 450
450 is the amount in his bank account; because he is spending $20 per weeks, so it's -20w.
BAME question: write out the correct proportion and solve to find 90% of 65
Answer: 58.5
Step-by-step explanation: