Answer:The equation of a line is y = mx + b where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept. (Remember that the slope is the steepness of a line and the y-intercept is the point where the line intersects the y-axis. The x- and y-coordinates are values of the points on the line of y = 3x - 1.)
Step-by-step explanation:
Out of 100 employees at a company, 92 employees either work part time or work 5 days each week. There are 14 employees who work part time and 80 employees who work 5 days each week. What is the probability that a randomly selected employee works both part time and 5 days each week?
Answer: 0.02
Step-by-step explanation:
OpenStudy (judygreeneyes):
Hi - If you are working on this kind of problem, you probably know the formula for the probability of a union of two events. Let's call working part time Event A, and let's call working 5 days a week Event B. Let's look at the information we are given. We are told that 14 people work part time, so that is P(A) = 14/100 - 0.14 . We are told that 80 employees work 5 days a week, so P(B) = 80/100 = .80 . We are given the union (there are 92 employees who work either one or the other), which is the union, P(A U B) = 92/100 = .92 .. The question is asking for the probability of someone working both part time and fll time, which is the intersection of events A and B, or P(A and B). If you recall the formula for the probability of the union, it is
P(A U B) = P(A) +P(B) - P(A and B).
The problem has given us each of these pieces except the intersection, so we can solve for it,
If you plug in P(A U B) = 0.92 and P(A) = 0.14, and P(B) = 0.80, you can solve for P(A and B), which will give you the answer.
I hope this helps you.
Credit: https://questioncove.com/updates/5734d282e4b06d54e1496ac8
Answer:
The probability that a randomly selected employee works both part time and 5 days each week is 0.02
Step-by-step explanation:
What is probability?
Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event.
The total employees =100
Let A= Employees who work part time = 14
and B = Employees who work 5 days each week = 80
Then, A∪B= 92
We have to find, P(A∩B)
P(A∪B)=P(A)+P(B)-P(A∩B)
[tex]\frac{92}{100}=\frac{14}{100}+\frac{80}{100}-[/tex]P(A∩B)
0.92=0.14+0.8-P(A∩B)
0.92=0.94-P(A∩B)
P(A∩B)=0.02
Hence, the probability that a randomly selected employee works both part time and 5 days each week is 0.02.
To know more about probability here
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HELPP ME PLEASE!!!!
don’t use for points or i’ll report you.
Written Response: Sally believes that 1/2% is equivalent to 50%. Is she correct? Why or why not?
Answer:
She is correct.
Step-by-step explanation:
1/2 and 50% is the same thing
50% is 1/2 of 100
Evaluate without a calculator:
cot -270°
Answer:
0
Step-by-step explanation:
The cotangent function is defined as cot x = adj / opp.
The terminal side of 270 degrees is the lower half of the y-axis. The adj side is zero (0) and the opp side is -1;
Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0
The required answer is cot(-270°) is undefined
Given that cot(-270°).
To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.
First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.
cot(theta) = adjacent side / perpendicular
When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.
Thus, cot(-θ) = cot(θ).
In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.
At -270°, the terminal side of the angle lies on the negative y-axis.
cot(-270°) = cot(270°)
Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)
At 90°, the terminal side of the angle lies on the positive y-axis.
In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.
Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."
Therefore, cot(-270°) is undefined.
Learn more about trigonometric functions and angles click here:
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At which value in the domain does f(x) = 0?
Ty
10
8+
6
4
2
-1
3
-10
--3
Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three times the other
Answer:
Joe Mama :))))))))))))))))))))))
Step-by-step explanation:
simplify 3^6 X 3 please help i failed the test 3 times (im not that smart lol)
Answer:
2187
Step-by-step explanation:
[tex]3^{6}[/tex] × 3
729 × 3
2187
Answer:
l maooooooo but ill help
its 2187
Step-by-step explanation:
use pemdas ( parenthasis, exponents, multiplication, division, add, subtract) and do 3^6 first
3x3x3x3x3x3=9x9x9=81x9=729
729x3=2187
Which inequality represents this situation?
The number of students, s, who ride in a bus is less than 30.
s< 30
s> 30
S 30
ss 30
Answer:
s<30
Step-by-step explanation:
s is the number of students. the staement says the number of students is less than 30
2496 of what number is 6?
24% of is 6.
PLEASE HELP IM DESPRATE 50 POINTS
Explain a real world example of a combination where repetition is allowed. You need to EXPLAIN WHY, not just give an example.
A real world example where repetition is allowed is in the sport of archery, where players get multiple attempts to shoot an arrow as close to the center of the target as possible
GUYS PLEASE ASAP I WILL FAIL IF U GUYS DONT ANSWER PLEASE
Answer: a square is both rectangle and quadrilateral.a trapezoid, rhombus and parallelogram is a quadrilateral. A parallelogram is also a rectangl.
Step-by-step explanation:
Meaning of the word break-even
Answer:
Breakeven is often used in finance, it means the point of reaching a balance.
Step-by-step explanation:
Barkley's team won 40% of their games last season. If they won 12 games total last season, how many games did they play?
Step-by-step explanation:
40% × 12 = 4.8
12 + 4.8 = 16.8
rounded off = 17 games
Answer question for brainleist
Answer:
m<D = 52°
Step-by-step explanation:
x + 20 + 3x + 32 = 180
4x + 52 = 180
4x = 128
x = 32
m<D = x + 20 = 32 + 20 = 52°
Which of the following is a prime number between 50 and 60?
A.
55
B.
53
C.
57
D.
51
Answer: B, 53
53 is the only prime number between 50 and 60
f(x)= 3x - 5x + 2x – 3
somebody help me please
Answer:
B. 3^(2/3)
Step-by-step explanation:
In the coordinate graph shown, the x-axis and y-axis have different scales. Which statement below is NOT correct?
A. On the x-axis, 1 tick mark represents 0.5 unit
B. On the y-axis, 1 tick mark represents 0.4 unit
C. The length of the red segment is 3 units
D. The length of the blue segment is 4 units
Answer:
The correct answer is B: On the y-axis, 1 tick mark represents 0.4 unit.
About how much cardboard is needed to make the inner tube for a roll of paper if the
tube has a diameter of 4.5 cm and is 24 cm long?
Answer:
[tex]A=339.42\ cm^2[/tex]
Step-by-step explanation:
The diameter of the roll of paper, d = 4.5 cm
Radius, r = 2.25 cm
Height of the roll of papaer, h = 24 cm
We need to find how much is needed to make the inner tube for a roll of paper. The surface area of a cylinder for inner tube is given by :
[tex]A=2\pi r h\\\\=2\times \dfrac{22}{7}\times 2.25\times 24\\\\=339.42\ cm^2[/tex]
So, the required area is [tex]339.42\ cm^2[/tex].
(-9)5 ∙ (-9)7
what's the answer
Answer:
2835
Step-by-step explanation:
-9×5= -45
-9×7= -63
-45×(-63)=2835
Help ASAP !!!!!!!!!!!!!!!!!!
Answer:
1
Step-by-step explanation:
it's basically the peak/ center.
we bought that house last year it is ___
Answer:
this year is 2021
Step-by-step explanation:
Answer:
What are the answer choices?
Step-by-step explanation: ??
$9000.00 decreased by 0.5% make sure to show your work
Answer: 8550
Step-by-step explanation:
9000(1-0.5)
9000(0.95)
8550
Is 0.999 repeating equal to 1? Please explain
Answer:
It is not equal to 1
Step-by-step explanation:
It's not equal to one because even if it is repeating forever it will never ever get to one, just take a look
0.999...... every 9 get's smaller and smaller in value
like 0.9 is bigger then 0.09 and that is bigger then 0.009
so even thought it is always gaining value by every 9 the value it gains is smaller and smaller and will never be equal or larger then 1
Hellllllp pleas if you want brainliest answer both
Answer:
1 is 15
2 the formula of a trapizod and the are is 35
Step-by-step explanation:
A=a+b2h=2+5 2·10=35
have a good day/night
may i please have a branlliest
Answer:
1) 15
2) formula is y=1/2(5+2)10, area is 35 square miles
Step-by-step explanation:
i know this is easy but can someone answer the following questions
Complete the following. Show all work for calculations. 25 points if answered correctly
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?
Answer:
541/2 square
Step-by-step explanation:
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
the volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
i don’t understand how to solve this
9
Find mZWVT
T
35x-2
U
93 °
W
V
7x + 5
mZWVT =
Answer:
40
Step-by-step explanation:
[tex] \frac{35x - 2 - 93}{2} = 7x + 5[/tex]
[tex] \frac{35x - 95}{2 } = 7x + 5[/tex]
[tex]17.5x - 47.5 = 7x + 5[/tex]
[tex]17.5x = 7x + 52.5[/tex]
[tex]10.5x = 52.5[/tex]
[tex]x = 5[/tex]
Plug 5 in for 7x+5.
[tex]7(5) + 5 = 40[/tex]
need help with this !
Answer:
(-2,14) Hope this helps! Have a great day!!!
Rob's office recycled a total of 12 kilograms of paper over 2 weeks. How many weeks will it
take Rob's office to recycle a total of 18 kilograms of paper? Assume the relationship is
directly proportional.
weeks
Submit
Answer:
Weeks thats easy man
Step-by-step explanation: