Answer:
Follows are the solution to this question:
Step-by-step explanation:
[tex]Frequency\ total = 155 + 256 + 144 + 145 = 700;[/tex]
In point (1):
Now that it is possible to obtain the joint distribution as:
[tex]IT\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ G \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Total[/tex]
[tex]Yes \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{155}{700} = 0.2214\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{256}{700} = 0.3657 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5871\\\\No \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{145}{700} = 0.2071\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{144}{700} = 0.2057\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4128\\\\Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4285 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5714\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1[/tex]
In point (2):
Likely that now It (the IT column total throughout the table above) seems to be the random individual selected = 0.4285;
Here, 0.4285 is the necessary probability.
In point (3):
The way of its worker's sleep at work =0.5871 ( first row total in the above table )
Here 0.5871 was its required probability.
In point (4):
In this as employee slept at work, he is likely to also be from IT to be calculated with:
[tex]=\frac{\text{probability he was just an IT-former but was asleep at work}}{ \text{possibly he worked at work}}\\\\=\frac{0.2214}{0.5871} \\\\ =0.3771 \text{was its probability required here}.[/tex]
In point (5):
In an individual is also an official government, its chance of getting sleep at work is measured when:
[tex]= \frac{\text{Probability he is professional in business slept at work}}{\text{or that he is officially in business}} \\\\= \frac{0.3657}{0.5714}\\\\ = 0.6400 \text{is the required probability here}.[/tex]
In point (6):
[tex]\to P(IT) \ P(Yes) = 0.4285 \times 0.5871 = 0.2516 \\\\\to P(IT and Yes ) = 0.2214 \\\\[/tex]
Therefore, 2 cases aren't independent, because P(IT) P(Yes) is not the same as P(IT and Yes), which also implies that P(IT|Yes) is not the same as P (IT), therefore "[tex]\text{No because P("IT " | "Yes")} \neq P("IT")[/tex]" is correct.
answer the question below, please
Answer:
AB = 42.30 m
Step-by-step explanation:
What we are asked to do is to simply find the length of AB.
Since both triangles are similar, therefore their corresponding sides would be proportional to each other.
Thus:
92/82.8 = 47/AB
Cross multiply
92*AB = 82.8*47
92*AB = 3,891.6
AB = 3,891.6/92
AB = 42.30 m(nearest hundredth)
Which of the following are identities? Check all that apply.
A. cos(x+y)+cos(x-y)=cos^2x-sin^2y
B. sin(x-pi)=-sinx
C. sin(x+y)-sin(x-y)=2cosx siny
D. cos(x+y)+cos(x-y)=2cosx cosy
Answer: B, C, D
Step-by-step explanation:
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Since, tigonometric identities are equal on both the sides (left hand side and right hand side) of the equation, Options (B), (C), and (D) represent the dientities.
Identification of the tigonometric identites: Trigonometric identities are the equalities having two trigonometric expressions equal for all values of the variables on both the sides.To prove the expression as identity prove both the sides of the equation are equal.
Option A
cos(x + y) + cos(x - y) = cos²2x - sin²2y
Left hand side = cos(x + y) + cos(x - y)
= cosx.cosy - sinx. siny + cosx.cosy + sinx.siny
= 2(cosx.cosy)
But the left side of the equation is (cos²2x - sin²2y).
Hence both the sides are not equal and it's not an identity.
OPtion (B).
sin(x - π) = -sinx
Left hand side = sin(x - π)
= -sinx sin(x - π)
= sinx.cosπ - cosx.sinπ
= -sinx - 0
= -sinx [Right hand side]
Since, both the sides are equal, it's an identity.
Option (C).
sin(x + y) - sin(x - y) = 2cosx.siny
Left hand side = sin(x + y) - sin(x - y)
= sinx.cosy + cosx.siny - sinx.cosy + cosx.siny
= 2cosx.siny
= Right hand side
Since, both the sides are equal, it's an identity.
Option (D).
cos(x + y) + cos(x - y) = 2cosx.cosy
Left hand side = cos(x + y) + cos(x - y)
= cosx.cosy - sinx.siny + cosx.cosy + sinx.siny = 2cosx.cosy
= Right hand side
Since, both the sides of the equation are are equal. It's an identity.
Therefore, Option (B), (C), (D) are the correct options.
Learn more about the trigonometric identities here,
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how many solutions does 3-2x=x+3 have
Rezultatul este 1 sa scri 1
Step-by-step explanation:
-2x-x=3-3
{-x=0}×-1
X=0
2 Which graph shows a proportional relationship? a b c d
Answer:
x xjjkdjbdnnxuhxnmdujxnxlxuxbx
pa help po dito please need Napo kase ehhh
True or false: 30% of 750 Km=225 km
It's True True True True True True True
Which algebic expression is “ten less than a number divided by twelve”?
StartFraction n Over 12 EndFraction minus 10
StartFraction 12 over n EndFraction minus 10
10 minus StartFraction n Over 12 EndFraction
10 minus StartFraction 12 Over n EndFraction
Answer:
It is n/12-10
Step-by-step explanation:
Which is A
The algebraic expression that represents "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.
To properly calculate the algebraic expression for "ten less than a number divided by twelve," we can break it down step by step.
The expression "ten less than a number" can be written as "n - 10," where n represents the unknown number.
Next, we divide the expression "n - 10" by twelve:
Start Fraction n - 10 Over 12 End Fraction
Therefore, the correct algebraic expression for "ten less than a number divided by twelve" is Start Fraction n - 10 Over 12 End Fraction.
Among the given choices, the correct expression is Start Fraction n - 10 Over 12 End Fraction.
To know more about algebraic:
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plzzz helppp!!!!! Marking most Brainly!!!!!
Answer:
c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
there are less people to answer so it wouldn't be enough
Please help
!!!!
Please helpppp
Answer:
it is a because the angle is 34 more degrees then it is spouse to
Step-by-step explanation:
i just know plz give heart and rate 5 and plz give brainlest
Need someone’s help please.
Answer
220
Step-by-step explanation:
11•10=110
110•2
220
Answer:
440miles
Step-by-step explanation:
She drove 11 miles to school and 11 miles back in the morning = 22 miles
She drove 11 miles to school and 11 miles back in the afternoon = 22 miles
Combined, the total for one day is 44.
For ten days, multiply 44 by ten to get 440 miles.
an enrollment of 200 students and this year enrollment has increased by 118%. What is this year's enrollment ?
Answer:
436 students
Step-by-step explanation:
Original number of students enrolled = 200students
% increase = 118%
Increment = 118% of 200
Increment = 1.18 * 200
Increment = 236
The year enrollment = 200 + 236
The year enrollment = 436 students
An angle measures 170°. Through what fraction of
a circle does the angle turn?
My answer: i need a graph
What percent of the shaded checker board squares do not have pieces?
VERY URGENT PLEASE
The 25% of the shaded checker board has pieces on it.
What percent of the shaded checker board squares do not have pieces?To check that, we need to solve the expression below:
Percent = 100%*(# shaded squares with pieces)/(total # of shaded squares)
There are a total of 32 shaded squares, and in 8 of them we can see pieces, then we can replace these values in the formula above to get:
Percent = 100%*(8/32) = 25%
That is the percent of the shaded checker that has pieces.
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A circle of a radius r,cm inside a square, so that the circle touches the sides of the square.
a) calculate the area of the shaded region when r=6
Answer:
30.9 square cm
Step-by-step explanation:
subtract area of circle from area of square
Area of square = 12² or 144
(each side is twice the radius)
Area of circle = 6²π or 113.1
Carsen loves to run. She runs 4 miles each day. If she wants to run a total of 56 miles how many days should she run? Write an equation to show this problem along with the answer. *Please click on "show your work" to set up the problem and show your work. Then, enter your answer in the box to the right. You must complete both of these steps.
Answer:
56 dived by 4. answer would be 14. so she would need to run two weeks
Step-by-step explanation:
Answer:
14 need to run two weeks
Step-by-step explanation:
Prove if 5n+3 is odd, then 7n+4 is even
I need help please HeLp
Answer:
The triangle is 1, since 10 - 1 is 9.
Hope that helps!
Step-by-step explanation:
Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?
Answer:
How many miles does he ride his bike there and back?
6 miles.
What information is extra?
The hour at which he leaves his house.
Step-by-step explanation:
We know that he rides 3 miles each way.
Then he rides 3 miles from his house to his friend's house, and another 3 miles from his friend's house to his house.
So he rides 3 miles both times, if we add that, we get:
3 miles + 3 miles = 6 miles
So:
How many miles does he ride his bike there and back?
6 miles.
And to answer the other question, we need to look at the given information that we did not use in this calculation. In this case, is the hour at which he leaves his house.
Notice that we never did use the fact that he leaves his house at 4 p.m.
Then:
What information is extra?
The hour at which he leaves his house.
Why do ratios change?
Answer:
Generally, your current ratio shows the ability of your business to generate cash to meet its short-term obligations. A decline in this ratio can be attributable to an increase in short-term debt, a decrease in current assets, or a combination of both.
Sometimes, a low current ratio could suggest problems with inventory management, ineffective or lax standards for collecting receivables, or an excessive cash burn rate. Increases in the current ratio over time may indicate a company is "growing into" its capacity (while a decreasing ratio may indicate the opposite).
Any help on this?
Y=3x+7
Y=x+1
Answer:
The answer is (x,y)=(-3,-2)
Step-by-step explanation:
I used the comparison method because I dont know what type of method you needed, sorry. The methods I know would be: the Comparison Method (what I used), the Substitution Method, Elimination Method,Inverse Matrix Method, Cramer's Rule, and the Gauss-Jordan Method.
You can also rewrite this equation to 3x-y=-7 and x-y=-1.
I'm sorry, I dont know what kind of answer you're looking for. I really hope this helps.
Which expression represents the algebraic phrase “eleven less than seven times a number”?
11x - 7
7x-11
11 + 7x
11-7x
A firm’s liquidity level increases when
Adigital option is one in which the payoff depends in a discontinuous way on the asset price. The simplest example is the cash-or-nothing option, in which the payoff to the holder at maturity T is X1{ST>K} where X is some prespecified cash sum. Suppose that an asset price evolves according to the binomial model in which, at each step, the asset price moves from its current value Sn to one of Snu and Snd. As usual, if T denotes the length of each time step, d < erT < u. Find the time zero price of the above option. You may leave your answer as a sum.
Answer:
[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]
Step-by-step explanation:
The Payoff to the holder at maturity T = X1{ST > K}, where X = pre-specified cash sum.
Current value of asset price = Sn after evolvement of asset price in reference to binomial model
Hence at every step value changes to SnU and Snd
where ; d < e^rΔT < u and Δ T = length of each step
u = ups
d = downs
Determine the time zero price of the above option
First we will find the price after each period
After one period :
when the price goes up, Sn + ΔT = Su
when the price goes down, Sn + ΔT = Sd
After period two
For Su
when price goes up, Sn +2ΔT = Su2
when price goes down, Sn +2ΔT = Sud
For Sd
when price goes down, Sn +2ΔT = Sd2
when price goes up, Sn +2ΔT = Sdu
To get the time zero price we will have to apply the same procedure in reverse position den get the sum pf all ups and downs which is
sum of all ups and downs = [tex]e^{-rT}[/tex]∑ [tex]uPd^{(1-p)}[/tex]
[tex]V_{0} = e^{-rt}[/tex] ∑ [tex]uPdx^{(1-p)} *S_{o}[/tex]
A utility line runs underground through Ursula's rectangular backyard. Ursula is not allowed to dig within 4 feet of the utility line. The diagram below shows the dimensions of Ursula's backyard in feet. The dashed line represents the utility line.
Answer:
it's 272 feet square because if it is the area then you can dig it
A = bh
A = 22(17) -6(17)
A = 272
Rectangle A is a scaled version of rectangle B. The dimensions of rectangle A are four times the dimensions of rectangle B. The
area of rectangle A is 288 sq cm.
What is the area of rectangle B?
Answer:
1152
Step-by-step explanation:
288 x 4=1152
PLEASE HELP ME! DUE VERY SOON AND I GIVE BRAINLIEST IF U ANSWER!
Write a fraction in which the numerator and denominator are both greater than 9.
btw im pretty sure that it has to be an improper fraction since it’s over 9 and 9 is a whole number.
Answer:
Step-by-step explanation:
It does not need to be an improper fraction.
For example, the numerator and denominator of 10/11 are both greater than 9, but 10/11 is not an improper fraction.
Answer:
Remember that a number divided by itself is 1. That means if the numerator and denominator are the same, the fraction is equal to 1. So all of the following are equal to 1: 2/2, 3/3, 4/4, and so on and so forth. so a good one you could do is 9/9
Step-by-step explanation:
1) Plz help with these 2 questions having a hard time thank you ;)
Acellus
A bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is blue?
Answer:
3/10
Step-by-step explanation:
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
the bag contains 10 marbles in total
the problem tells us that the bag contains 3 blue marbles
the probablity that a blue marble is drawn is 3/10
How many 1/3 inch cubes does it take to fill a box with width 2 2/3
inches, length 3 1/3 inches, and height 2 1/3 inches?
Answer:
Step-by-step explanation:
Find the width of rectangle which has perimeter of 24 cm and length is 8 cm. *
Answer:
Breadth is 4cm
Step-by-step explanation:
Perimeter = 24cm
Length= 8cm
let the breadth be x
Perimeter = 2(l+b)
24 = 2(8+x)
24 = 16+2x
24-16 = 2x
8 = 2x
8÷2 = x
4 = x
Therefore, breadth is 4cm
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