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.
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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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Working on math right now!
Answer:
Hi! The answer to your question is A. [tex]5^{4} * 4^{8}[/tex]
Step-by-step explanation:
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Hope this helps!!
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A cube has a surface area of 216 cm square 2.What is the length of each side of the cube?Label it below
Answer:
6 cm
Step-by-step explanation:
the cube has six faces, so each is 216/6 = 36 cm^2
so the side is [tex]\sqrt{36}[/tex]
Can anyone help me with 6? Please
Answer: (2)
Step-by-step explanation: y=18(0.75) 0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.
PLEASE HELP FAST!!!
find the equation of the line that is perpendicular to this line and passes through the point (-7, 6)
find the equation of the line that is parallel to this line and passes through the point (-7, 6)
Answer:
si..............................................
Oliver found a list of the number of roller coasters at each amusement park in the state. 11, 17, 28, 17, 40, 44, 19, 45, 49, 31 What is the median?
Answer:
29.5
Step-by-step explanation:
Order from least to greatest
11, 17, 17, 19, 28, 31, 40, 44, 45, 49
Then find the middle number which is 28 and 31 so add the two numbers
28 + 31 = 59
then
59 divided by 2 = 29.5
A farmer plants the same amount every day, adding up to 212 acres at the end of the year. If the year is 23 over, how many acres has the farmer planted?
Answer:
4876 acres
Step-by-step explanation:
212 x 23 = 4876
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.
Answer:
1- 35/37
2- 12/37
3- 35/37
4- 12/37
Step-by-step explanation:
The sine of an angle is the ratio of the opposite to the hypotenuse while the cos of an angle refers to the ratio of the adjacent to the hypotenuse. Therefore, the following is true:
Sin D = opposite/hypotenuse = 35/37 -has no simplest form Sin E = opposite/hypotenuse = 12/37 -has no simplest form Cos D = adjacent/hypotenuse = 12/37 -has no simplest form Cos E = adjacent/hypotenuse = 35/37 -has no simplest form
These are fractions that can't be simplified, so they remain the same.
Hope this helps!!
The measure of the trigonometric relations are solved
sin D = 35/37
sin E = 12/37
cos D = 12/37
cos E = 35/37
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ΔDEF
Now , the measure of sides of triangle are
The measure of side DE = 37
The measure of side EF = 35
The measure of side DF = 12
Now , from the trigonometric relations
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
On simplifying , we get
sin D = 35/37
sin E = 12/37
cos D = 12/37
cos E = 35/37
Hence , the measures of trigonometric relations are solved
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What is the rectangular form of r = −2 sin(θ)?
Answer:
D.) x2 + (y + 1)2 = 1
Step-by-step explanation:
No explanation needed just need to say something here.
Answer:
x2 + (y + 1)2 = 1
Step-by-step explanation:
Similar Triangles? (yes or no)
by which criteria? (AA- SAS-, SSS- or not enough info)
Answer:
Yes but not in size and not enough info
Step-by-step explanation:
Hope it helps
Please brainliest
a town had 2120 acres of pine trees a few years ago. only 15% of the acres of trees are left. how many acres of pine trees remain?
Answer:
318
Step-by-step explanation:
just to 2120 x .15
Can you help me with this like explain how and stuff, Please?
Answer:
Step-by-step explanation:I belive that the 7x+22 needs to equal 50 because they opposite angles. Hope this helped a little and can get you started
Answer:
22.57
Step-by-step explanation:
7x+ 22 =180 180 because its a supplimentary angle -22 from 22 and 180 22 and -22 cancel out the 180 - 22 = 158
then you have 7x = 158 divide both numbers by 7 to isolate x then divide 158 by 7 = 22.57
Jessica is purchasing new photo frame for a photo. What measurement does Jessica need to know about the photo before she starts?
a circle has a area of 144 cm^2 find the circumference
Answer:
42.5389
Step-by-step explanation:
HELP QUICK!!!!
Complete the table using the rule:
y = x
Х
1
4
9
16
25
у
1
3
4
5
Answer:
2
Step-by-step explanation:
you substitute the 4 for the x in y = √x and get 2
Hellllllllllllllllllllppppppppppppppppppppppppp
Answer:
According to two brainly answer choices it should be Choice A.
15/6
Step-by-step explanation:
SOURCES:
https://brainly.com/question/16451231
https://brainly.com/question/16811984
THIS IS THE WORK OF ANOTHER BRAINLY USER NOT MINE
In this question, we are to get the total number of hours that Irina used in watching the movie which does not include the term used for airing the commercials.
Now to calculate this, let us first take a look at the shaded segmented bar. We can see that out of the 6 horizontal bars, 5 were shaded. What this means is that 5/6 of the hours went into airing the movie while 1/6 of the hour went into airing commercials
Now, mathematically the number of hours she viewed the movie without the commercials can be calculated by adding all these 5/6 hour in the 3 hours
Mathematically that would be 5/6 + 5/6 + 5/6 = 3 (5/6) or simply 3 * 5/6 = 5/2 = 15/6 hours
there are 96 boys and 120 girls in grade 9.write down the ratio of the number of boys to the number of girls in the class
Answer:
16 girls to 20 boys
Step-by-step explanation:
What is the greatest common factor of 12a and 9a2?
9
36
3a
12a2
Answer:
3a
Step-by-step explanation:
the common factors are what make up the terms. 12a is divisible by 3a
9a^2 is divisible by 3a
12a/3a = 4
9a^2/3a
(9a × 9a) / 3a = (9a × 3)
The greatest factor of both 12a and 9a² is; C: 3a
What is the Greatest Common Factor?
We want to find the greatest common factor of 12a and 9a². Now, let us first list the factors of both expressions;
Factors of 12a are; a, 1, 2, 3, 4, 6, 12, 1a, 2a, 3a, 4a, 6a, 12a
Factors of 9a² are; 1, 3, 9, 1a, 3a, 9a
The greatest factor that is common to both 12a and 9a² is 3a
Read more about Greatest common factor at; https://brainly.com/question/219464
What is 1.939 x 10^5 in standard form?
Answer:
193900
Step-by-step explanation:
thx for points
Ryan's take-home pay is $2,500 each month. The amount for gas is $125. Calculate the percentage Ryan uses on gas from his take-home pay. please help!! O^O
Answer: 5%
Step-by-step explanation:
Since Ryan's take-home pay is $2,500 each month and the amount for gas is $125.
The percentage that Ryan uses on gas from his take-home pay will be:
= Amount used on gas / Take home pay × 100
= 125/2500 × 100
= 1/20 × 100
= 5%
He used 5% on gas.
Solve for x
19/10 = x/12
Answer:
x=19
Step-by-step explanation:
19/12=x/12
19*12=x*12
228=12x
228/12=x
19=x
HELP ME ASAP!!!!!!!!!
Hello, please do not cheat on classwork on brainly, as this is against the honor code. Please do not continue this activity.
Identify all integers greater than -12.
Answer:
-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ect
Step-by-step explanation:
an integer is a whole number that is not a fraction, it can be positive or negative
Which decimal is the equivalent of 6/11
Answer:
0.54
Step-by-step explanation:
If 35% of a number is 84 and 60% of the same number is 144, find 25% of that number.
Answer:
60
Step-by-step explanation:
what is the answer for 3.4x - 2y when x=1 and y=-2
Answer:
Step-by-step explanation:
3.4x - 2y
Putting values of x and y in the equation
3.4(1) - 2(-2)
= 3.4 + 4
= 7.4
find the slope of the line that passes through the given points (9, -3) and (9, 4)
Answer: No slope.
Step-by-step explanation:
No slope, the x values are the same yet they have different Y values so there isn't a slope and this isn't a function.
What is the next term of the geometric sequence 5, 20,80
Answer:
a₄ = 320
Step-by-step explanation:
To obtain a term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{5}[/tex] = 4 , then
a₄ = 4 × a₃ = 4 × 80 = 320
Evaluate the expression for the given value(s) of the variable(s). 6.5 – n; n = 1.8
Answer:
4.7
Step-by-step explanation:
Substitute value
6,5 - 1.8
=4.7
Minimum. Q1: Q2: Q3: Maximum
14, 11,8, 1, 23, 20, 17, 5, 19, 10, 12, 22
Please help!
Answer:
Min: 1 Max: 23 Q1: 9 Q2: 13 Q3: 19.5
the circumference is about ___ mm.
use 3.14 fir pi
Answer:
C =62.8 mm
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14* 10
C =62.8 mm
