The driving time for an individual from his home to his work is uniformly distributed between 300 to 480 seconds.
A. Determine the probability density function.
B. Compute the probability that the driving time will be less than or equal to 435 seconds.
C. Determine the expected driving time.
D. Compute the variance.
E. Compute the standard deviation.

Answer:

[tex]160\sqrt{3}[/tex]

Step-by-step explanation:

Step 1: Know what the question is asking

Step 2: Set up the problem

The answer of above expression is

5/2

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given,

c=1 / 4 and d=2/4

put the value of c and d in above expression 3(1/4 + c) +2d

3(1/4 + 1/4 ) +2(2/4)

3(2/4) + 1

3(1/2) + 1

(3+2)/2

5/25

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Answer: y=0 x =9/y

Step-by-step explanation:

The inequality to determine when the cost of viewing n videos using

plan A is less than the cost of viewing n videos using plan B.

8 + 3n < 5n

Plan A is less expensive when n is greater than 2.

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Two monthly plans:

Plan A:

Cost per video = $3

Flat rate per month = $8

Plan B:

Cost per view = $5

Flat rate = zero

The inequality to determine when the cost of viewing n videos using

plan A is less than the cost of viewing n videos using plan B.

8 + 3n < 5n

Solving for n.

8 < 5n - 3n

8 < 2n

8/4 < n

n > 2

This means when n is greater than 2 we get,

The cost of viewing n videos using plan A is less than the cost of viewing n videos using plan B.

Thus,

The inequality to determine when the cost of viewing n videos using

plan A is less than the cost of viewing n videos using plan B.

8 + 3n < 5n

Plan A is less expensive when n is greater than 2.

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Easier to have it in the form

y=mx+c

y =x/3 + 14/3

Unfortunately not whole numbers so it won't go perfect through the edges of the boxes

Then you just make some x and y values yourself

Good starting point is 0 for both

ie when x is 0 then y =14/3

when y = 0 then x = -14

Which is off the graph in this case.

But using that idea if you pick an x or y value yourself you should be able to calculate its corresponding value.

You technically only need 2 sets of coordinates as it is a straight line but if you calculate more you can guarantee your line is correct

118 lies in this interval , so that i should make 118 burgers with 95% sure .

Statistics, originally "description of states, countries") is the field dealing with the collection, organization, analysis, interpretation and presentation of data. When applying statistics to  scientific, industrial, or social problems, it is common to start with a statistical population or  model under study. A population can be various groups of people or things such as: For example, "everyone living in that country" or "all atoms that make up a crystal". Statistics deals with all aspects of data, including the planning of data collection with a view to designing surveys and experiments.

the calculation part has been attached below as it was difficult to write that here

∴ 118 lies in this interval , so that i should make 118 burgers with 95% sure

108 also lies in the interval but it is just expected value , if we think about the whole interval answer should be 118 .

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Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4-1=3

5(4-1)    15

2(4)-2(1)   6

1-4    -3

Step-by-step explanation:

here you go...

please mark brainliest

Answer:

Step-by-step explanation:

a) :x-y=3(a) 5(x-y) = 5×3 =15

:. 5(x-y)=15

b)  2x-2y = 2(x-y)

      2(3) =2*3=6

      :. 2x-2y=6

c) y-x = -(x-y)

     -(x-y) = -(3).

   :. y-x=-3

Answer:

2-4i

Step-by-step explanation:

(8-3i)-(6+i)

distribute right side: 8-3i-6-i

8-6: 2-3i-i

So 2-4i

Answer:

2 - 4i

Step-by-step explanation:

Given expression:

[tex](8 - 3i) - (6 + i)[/tex]

Apply the distributive law:  -(a + b) = -a - b

[tex]\implies 8 - 3i - 6 -i[/tex]

Collect the real part and imaginary part of the complex number:

[tex]\implies 8 -6- 3i -i[/tex]

Simplify:

[tex]\implies 2-4i[/tex]

Answer:

-4

Step-by-step explanation:

gradient = (y_2 - y_1)/(x_2 - x_1)

gradient = (14 - 6)/(-10 - (-8)) = 8/(-2) = -4

standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-1})\hspace{10em} \stackrel{slope}{m} ~=~ 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ 3}(x-\stackrel{x_1}{4}) \implies y +1= 3 (x -4) \\\\\\ y+1=3x-12\implies y=3x-13\implies \underline{-3x+y=-13}\implies 3x-y=13[/tex]

now, notice, the equation should  have a positivized "x" term, however the material is suggesting "incorrectly" the one that's underlined.

Answer: 25

Step-by-step explanation:

Since the total distance of JL is 37, and JK is 12, we can find KL by subtracting JK from JL.

37 - 12 = 25

The sum of JK and KL makes up the distance of JL.

8 families do not have cat or dog. And the probability of a family having a dog is 0.42

Here Given that,

We have total 59 families.

26 only have cat.

14 only have a dog.

And 11 have both cat and a dog

Now, we will show this information on Venn diagram

for Venn diagram see the attachment.

Now, we can say that 26+14+11=51 families have pets at home.

So,  we will find out that how many families do not have cat or dog

So,  

we have 59 total families and from 59 families 51 have cat or a dog or both at home.

So,

Families do not have cat or dog = 59-51

Families do not have cat or dog = 8

therefore,

8 families do not have a cat or a dog.

Now, we will choose one family and find out the probability of that family having a dog.

So, we have 59 total families and out of 59 families 14+11= 25 families have a dog at home.

So,

The probability of a family having a dog =(families that have a dog)/(total families)

The probability of a family having a dog =25/59

The probability of a family having a dog =0.42

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Answer: Jennine must walk 11.36 blocks.

Step-by-step explanation:

Since each step is 18" long and she takes 1550 steps per block, a block must equal to 1550*18", or 27,900".

27,900" is roughly 0.44 miles.

Therefore 5mi. /0.44mi.  = ~11.36 blocks

Answer: 6

Step-by-step explanation:

Step-by-step explanation:

18x + 20y= 38

38xy = 38

xy = 38/38

where x and y = 1

Answer:

125/36 = 3 17/36

Step-by-step explanation:

0.0668 is the probability that 16 randomly selected packages will have a sample mean weight in excess of 16.075 ounces.

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. It is based on the likelihood that something will occur. The justification for probability serves as the main foundation for theoretical probability. For instance, the theoretical chance of getting a head when tossing a coin is 12. The probability is calculated by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

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Answer:

I would likely consider the answer is 15.68(3m+2)

But I need more info about the question if so.

There are 52 cards in the deck.

Picking the 6 of spades or 9 of clubs are two of the possible cards you could pick.

Your probability is 2/52 or 1/26 or 3.8461538461538%.

The volume of sphere in the diagram by entering the given radius into the volume formula is 36π cubic units.

Given that the volume of sphere is (4/3)×π×r³ and the radius is 3 units.

We want to the find the volume of sphere.

As we are given that the radius is 3 units and the volume of the sphere is (4/3)πr³.

So, firstly, we will substitute the value r=3 in the above formula, we get

V=(4/3)×π×(3)³

Now, we will simplify the above expression, we get

V=4π×9

V=36π cubic units

Hence, the volume of the sphere by entering the given radius into the volume formula for a sphere is 36π cubic units.

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Answer:

The circumference of any circle is 2πr, where r is the radius.

Step-by-step explanation:

Rachel earned an amount of $ 920

Given in the question,

5% × n = $46

5/100 × n = $46

0.05 × n =$46

0.05/0.05 × n = 46/0.05

Hence the amount is n = $920

Income that is earned comes under total earnings after taxes are deducted which one has already paid. Some of the income which is earned can include union strike benefits, specific retirement pensions, and long-term disability benefits. An expense that is removed or subtracted from the income of the person who is paying the taxes in order to lower the income which is earned by the person so that it is subjected to lower tax subtraction is known as deduction.

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Answer: answer is -1

Answer:

i need help in german its really inportain

No, these ratios are not equivalent.

Answer:

No they are not

Step-by-step explanation: