A company offers earthquake insurance. Annual premiums are modeled by an exponential random variable with mean 2. Annual claims are modeled by an exponential random variable with mean 1. Premiums and claims are independent. Let X denote the ratio of claims to premiums. What is the density function of A?

Answer:

3

Step-by-step explanation:

43-40=3

Answer:

A on edge2020

Step-by-step explanation:

Answer:

5 km.

Step-by-step explanation:

We have to calculate the distance if we apply the speed formula that would be the distance in a given time:

v = d / t

therefore, if we solve for distance it would be:

d = v * t

Now the speed is 6 km / h but the time must be calculated, it leaves at 9:15 and returns at 10:05, that is, there is no exact time but 50 minutes, one hour equals 60 minutes, therefore:

50 min * 1 h / 60 min = 0.833 h, that is, the child took 0.833 hours to get to school, now if we replace:

d = 6 * 0.8333

d = 5

In other words, the distance between the school and the house is 5 km.

Answer:

The three numbers are 1, 2, and 4.

Step-by-step explanation:

[tex]x+y+z=7\\3x+1=z\\z+x=5[/tex]

From these equations, we get:

[tex]x=1\\y=2\\z=4[/tex]

Which fits all the equations we have written.

Answer:

40 minutes

Step-by-step explanation:

Let's take the average playing time as u, and let the standard deviation be [tex] \sigma [/tex].

Thus,

[tex] u = 34 [/tex]

[tex] \sigma = 6 [/tex]

To find the value of 1 standard deviation above the mean, we have:

[tex] u + 1\sigma [/tex]

Since u = 34 minutes and [tex]1\sigma [/tex] = 6 minutes, we now have:

[tex] = 34 + 6 = 40 [/tex]

The value (in minutes) of 1 standard deviation above the mean is 40 minutes.

Answer:

40 minutes

Step-by-step explanation:

Given that:

The average time playing time of compact disc in a large collection= 34 minutes and the standard deviation = 6 minutes.

Let [tex]\mu[/tex] represent the average playing time and [tex]\sigma[/tex] to be the standard deviation.

So;

[tex]\mu = 34 \\ \\ \sigma = 6[/tex]

The value for 1 standard deviation above the mean is;

[tex]x+1 s= 34+6 \\ \\ = 40[/tex]

Let [tex]n[/tex] be the smallest integer; then, the other two integers are [tex]n+1[/tex] and [tex]n+2,[/tex] so we have the equation [tex]3n+3=63.[/tex] Solving, we have [tex]n=20,[/tex] so the integers are [tex]\boxed{20,21,22}.[/tex]

Answer:

w = 32

Step-by-step explanation:

Since these triangles are similar, you can set up a proportion like this:

[tex]\frac{24}{w} =\frac{36}{48}[/tex]

Cross multiply:

[tex]\frac{1152}{36w}[/tex]

Divide 1152 by 36:

w = 32

Answer:

  x^2 +16 is prime

Step-by-step explanation:

A prime polynomial is one that cannot be factored using integers.

Answer:

39.4736842105 or 39.47, but in integers is 39

Step-by-step explanation:

38/100=.38

15/.38=39.4736842105

Answer:

39.4736842105% or 39.47%

Step-by-step explanation:

To find what percent of 38 is 15, take 15 divided by 38

15/38 = 0.394736842105

Double check this answer by working backwards

38 x 0.394736842105 = 15

Change 0.394736842105 into a percentage because a percentage is what is needed

0.394736842105 = 39.4736842105% = 39.47%

Question:

Fill in the blank.

23 x 6 = (20 + 3) * 6

23 x 6 = _ + (3x6)

Options

20 * 6

20 * 3

20 * 5

Answer:

20 * 6

Step-by-step explanation:

Given

Expression 1:  23 * 6 = (20 + 3) * 6

Expression 2:  23 * 6 = __ + (3 * 6)

Required

Fill in the blank

From Expression 1

23 * 6 = (20 + 3)*6

Using Distributive Property; The expression becomes

23 * 6 = 20 * 6 + 3 * 6

23 * 6 = (20 * 6) + (3 * 6)

By Comparing this with expression 2

23 * 6 = __ + (3 * 6)

The blank position is occupied by 20 * 6.

Hence, the correct option that fills the missing blank correctly is 20 * 6

The correct option that fills the missing blank correctly is 20 * 6.

The blank position is occupied by 20 * 6.

Here, we have,

Given

Expression 1:  23 * 6 = (20 + 3) * 6

Expression 2:  23 * 6 = __ + (3 * 6)

Required

Fill in the blank

From Expression 1

23 * 6 = (20 + 3)*6

Using Distributive Property;

The expression becomes

23 * 6 = 20 * 6 + 3 * 6

23 * 6 = (20 * 6) + (3 * 6)

By Comparing this with expression 2

23 * 6 = __ + (3 * 6)

The blank position is occupied by 20 * 6.

Hence, the correct option that fills the missing blank correctly is 20 * 6.

To learn more on Expression click:

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complete Question:

Fill in the blank.

23 x 6 = (20 + 3) * 6

23 x 6 = _ + (3x6)

Options

20 * 6

20 * 3

20 * 5

Answer:

35

Step-by-step explanation:

Given

Sample of rat

Population = 36

Required

Find the degree of freedom.

Given that the sample is a single-sample t test;

A single-sample t test has just one parameter has its estimate;

And its degree of freedom is calculated as thus;

[tex]df = n - 1[/tex]

Where df represents the degree of freedom and n represents the sample size;

By substituting n = 36;

[tex]df = 36 - 1[/tex]

[tex]df = 35[/tex]

Hence, the degree of freedom of the sample of 36 rats for a single-sample t test is 35

Answer:

The degrees of freedom if we are conducting a test about the true mean are given by:

[tex] df =n-1[/tex]

And replacing the info given we got:

[tex] df = 36-1=35[/tex]

And the best option would be:

35

Step-by-step explanation:

For this case we know that the sample size is n=36.

The degrees of freedom if we are conducting a test about the true mean are given by:

[tex] df =n-1[/tex]

And replacing the info given we got:

[tex] df = 36-1=35[/tex]

And the best option would be:

35

Answer:

ΔT =313.5 K - 240.3 K = 73.2 K

Step-by-step explanation:

It's more confortable to work in °C to determine the Absolute value

T°C + 273 = T° K (Kelvin grades)

ΔT = Highest T° in K - Lowest T° in K

We make the conversion to Celsius degree, from Farenheit:

(x F - 32°) . 5/9 = °C

(105 F - 32°) . 5/9 = 40.5°C

(-27 F - 32°) . 5/9 =  - 32.7 °C

40.5°C + 273 = 313.5 K

-32.7 °C + 273 = 240.3 K

Answer: 132 Should be your answer.

Step-by-step explanation: I don't know how to explain very correctly, but I do know that is correct, have a nice day.

Answer:

Dependent Variable = tips left by male customers

Independent Variable = T-Shirt color worn by waitresses

Step-by-step explanation:

Dependent variable is the variable that changes when the independent variable changes.

In other words, when the independent variable is varied, the dependent variable changes. The dependent variable is the effect or outcome of the manipulation of the independent variable.

In the study referred to in the question above, the amount of tips given to waitresses is dependent on the color of the T-shirt the waitresses wear.

Therefore, the dependent variable is T-Shirt color, while the independent variable is the amount of tips given.

Answer:

x=3

Step-by-step explanation:

the volume of the prism with triangular base is 54 unit³

The base is a triangle with,  base i.e 4 units  and  height i.e x units

Also,  height of the prism = 3x

So, volume of the prism is,

And

,

[tex]Area_{Triangle}=\dfrac{1}{2}\times base\times Height_{Triangle}=\dfrac{1}{2}\times 4\times x=2x\ unit^2[/tex]

Then,

[tex]V_{Prism}=2x\times 3x=6x^2[/tex]

As the volume is given as 54 unit³, hence

6x²=54

x²=9

x=3

Answer:

876 square feet need to be painted.

Step-by-step explanation:

There are four walls in each bedroom, since she can't paint floors or ceilings. So we calculate the number of square feet of wall there is in one bedroom

(12*8)+(12*8)+(10*8)+(10*8)-60=160+192-60=292

There are 3 bedrooms so

292*3=876

Answer:

x = 9 y = -4

Step-by-step explanation:

4x + 3y = 24 . (-5) ------> -20x -15y = -120 (A)

6x + 5y = 34 . (3) -------> 18x + 15y = 102 (B)

(A) + (B) ----------> -2x = -18 ---------> x = 9

4.9 + 3y = 24

3y = 24 - 36

3y = -12

y = -4

Answer:

18

Step-by-step explanation:

Do 72 divided by 4 because it is a square so all sides are equal

Hiya! ✌.ʕʘ‿ʘʔ.✌

Okay, so with a square, ALL sides are EQUAL.

To find the perimeter of a shape, you just need to add the measure of all sides together.

What you can do, is since all sides are equal, and a square has four sides, just get the measure of ONE side and multiply that by 4! (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧

The perimeter is 72 meters and if we find the value of u, we get the value of all sides.

Let's set this up as an equation:

P = 4u where P = perimeter and u = measure of one side

Let's insert the given value (72) into the equation for perimeter

72 = 4u

Now we have to solve for u, and to do that, we have to get it by itself on that side of the equation. u is being multiplied by 4, so do the opposite by dividing both sides of the equation by 4!

72/4=18

4u/4=u

Now our equation looks like this:

18 = u

So the value of u is 18! (✿◠‿◠)

To prove it, insert it into the formula... P = 4(18)... P = 72.

Boom! :D

Have a lovely day~ ≧◡≦

Answer:

2 doughnut boxes

Step-by-step explanation:

6+6=12

12=1 box

and the other 3 can go in a different box which would be 2 boxes

Answer:

  x = 48.40'

  y = 33.01'

Step-by-step explanation:

These are all segments of a right triangle, so the Pythagorean theorem applies.

  x^2 = 46.07^2 +14.82^2 = 2342.0773

  x = √2342.0773 ≈ 48.40

__

  x^2 = 35.39^2 +y^2

  y^2 = 2342.0773 -35.39^2 = 1089.6252

  y = √1089.6252 ≈ 33.01

Units are feet for both numbers:

  x = 48.40'

  y = 33.01'

_____

You always start any question by reading the whole question, identifying the (relevant) given information, and understanding what the question is asking for. You then make an assessment of what you know about the relationships between the given information and what is asked. Finally, you develop a strategy for getting from what you know to what you need to know.

Here, you're given segment lengths of right triangles, and you're asked for other segment lengths. This is not a trig problem--no angles are involved. It is a straight Pythagorean theorem problem. To make use of that theorem, or any formula, you need to have only one unknown. So, you can't start by solving the bottom triangle; you have to start with the upper one where there is only the unknown side x.

After you find x, then you have two known sides in the bottom triangle, so you can find y.

Here, x is an intermediate value in the computation of y. You do NOT use the rounded answer to the question when you're computing y. Rather, you use the full calculator precision for x, so that y can have best accuracy. Only at the end do you round to hundredths.

Answer: [tex]\dfrac{21}{410}[/tex].

Step-by-step explanation:

Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]

From the given frequency distribution for the class level of students in an introductory statistics course, we have

Number of Junior= 12

Number of Senior = 7

Total students = 6+16+12+7 = 41

Probability that the first student obtained is a junior = [tex]\dfrac{12}{41}[/tex]

Probability that the the second student obtained is a senior. [tex]=\dfrac{7}{41-1}=\dfrac{7}{40}[/tex]

Then, the probability that the first student obtained is a junior and the second a senior would be [tex]\dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}[/tex]

Hence, the required probability is [tex]\dfrac{21}{410}[/tex].

Answer:

q= -40p+c

q= -40p+4,000

Step-by-step explanation:

$5 each for 3800 tye-dye shower curtains

$10 each for 3600 tye-dye shower curtains

Slope of the demand line is

3800-3600/5-10

=200/-5

= -40

Demand function is

q= -40p + c

Where c is a constant

For q=3800 and p=$5

Demand function is

q= -40p + c

3800= -40(5)+c

3800= -200+c

c=3800+200

c=4,000

Linear demand function is

q= -40p+4,000

Answer:

Following are the ratio to this question:

Step-by-step explanation:

Given:

[tex]\bold{\tan \phi = \frac{60}{11} }\\\\[/tex]

Formula:

[tex]\sin \phi = \frac{Perpendicular}{Hypotenuse}\\\\\cos \phi = \frac{Base}{Hypotenuse} \\\\\tan \phi = \frac{Perpendicular}{Base} \\\\\ cosec \phi = \frac{Hypotenuse}{Perpendicular}\\\\\sec \phi =\frac{Hypotenuse}{Base}\\\\\cot \phi = \frac{Base}{Perpendicular}\\\\[/tex]

[tex]\ Base = 11 \\\ Perpendicular =60\\\ Hypotenuse= 61\\[/tex]

[tex]\sin \phi = \frac{60}{61}\\\\\cos \phi = \frac{11}{61} \\\\\tan \phi = \frac{60}{11} \\\\\ cosec \phi = \frac{ 61}{60}\\\\\sec \phi =\frac{61}{11}\\\\\cot \phi = \frac{11}{60}\\\\[/tex]

Answer:

The axis of symmetry is  -b/2a

The x-intercept shown is 3 units away from the axis of symmetry.

The other x-intercept also must be 3 units away from the axis of symmetry but on the opposite side.

Subtract 3 from the axis of symmetry.

The other x-intercept is  (-b/2a-3,0)

Step-by-step explanation:

Answer:

  360π

Step-by-step explanation:

Put the given numbers in the volume formula and do the arithmetic.

  V = πr²h . . . . . r is the radius; h is the height

  V = π(6²)(10)

  V = 360π

The volume is 360π cubic units.

Answer:

p=-3

Step-by-step explanation:

5-3x = Px +7

-7 from both sides

-2-3x=Px+7

add 3x to both sides

-2=Px+3x

P =-3 because it will get rid of variable

Answer:

x= -22.5

Step-by-step explanation:

5–3x=Px + R

r= 7

P= 42

5–3x =42x + 7

-3x -42x = 7- 5

-45x =2

x= -22.5

Answer:

To expect a profit in the long run, we have to charge more than $1.73 per play.

Step-by-step explanation:

We hace a roulette wit 37 slots.

One is green, eighteen are red and eighteen are black.

The expected pay for the gambler can be calculated as the sum of the probability of getting green, red or black multiplied by the respective pay.

[tex]E(g)=\sum p_iG_i=p_gG_g+p_rG_r+p_bG_b\\\\\\E(g)=\dfrac{1}{37}(10)+\dfrac{18}{37}(1)+\dfrac{18}{37}(2)\\\\\\E(g)=\dfrac{10+18+36}{37}=\dfrac{64}{37}\approx1.73[/tex]

If $1.73 per play is the expected pay that will receive the gambler, we have to charge at least this amount to make sure we will make a profit in the long run.

Answer:

The most important quantity to consider in order to answer this question is the arrival time of the zombies from their initial position, which is the quotient between their distance to the visitors, divided the zombie's speed.

See explanation below.

Step-by-step explanation:

Part 1)

What is crucial to know is what is the time at which each zombie would reach Alice and Bob, and that is given by the quotient between the distance away each zombie is, divided by the zombie's speed:

[tex]speed=\frac{distance}{time} \\time=\frac{distance}{seed} \\t_i=\frac{d_i}{s_i}[/tex]

Then, it is this quotient for each zombie, that one has to estimate given the input values distance and speed, and it is the output "time" ([tex]t_i[/tex]) for each zombie, what we need to analyze so as to prioritize an order regarding which zombie to kill first.

Part 2)

Shooting the closest zombie first is not a good idea, since the speed of that closest zombie may be much slower than another zombie further away, but with much larger speed. Again, the important value to analyze is the time that it would take each zombie to reach Alice and Bob.

Part 3)

Shooting the fastest zombie first is not a good idea either, because that fastest zombie could be located very far away from the visitors, and other zombies closer by may reach them first.

Part 4)

The order that should be used to kill the zombies is given by the value of the time to reach Bob and Alice based on the quotient distance (di) over speed (si) explained in Part 1). The zombie that shows smallest time should be shot first, and then the others in increasing order of time value.

Part 5)

Notice that the individual zombie information is not presented in the question, but the student should be able to calculate the quotients for each zombie, and considering that there could be at most one shot every second, estimate the number of seconds that the time for each zombie in increasing order would allow until the addition of shooting time per second in the appropriate order cannot match the arrival time of the zombies that are left.

One should count number of seconds from the first shot (to the zombie with shortest arrival time), and then increase in one unit (one shot per second), to the following zombie with slightly larger arrival time), and so on, until the addition of seconds (one second per shot and per increasing arrival time of zombie) exceeds the next zombie arrival time.

Answer:

I got 35

Step-by-step explanation:

Answer:

Center: (-1,0)

Radius: [tex]\sqrt{21}[/tex]

Step-by-step explanation:

You can complete the square for x:

[tex]x^2+2x+y^2=20 \\\\(x^2+2x+1)-1+y^2=20 \\\\(x+1)^2+y^2=21[/tex]

The standard form for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex], where h is the x coordinate of the center of the circle, k is the y coordinate, and r is the radius. Therefore, the center of this circle is at (-1,0), and the radius is [tex]\sqrt{21}[/tex]. Hope this helps!

Answer:

y = 42 - 3/4 * x

Step-by-step explanation:

From the statement we know that the following:

x + y = 56

y = 56 - x

x beads of Nicole and another person's beads, after losing a 1/4 of the beads, it would be:

y = (3/4) * (56 - x)

y = 42 - 3/4 * x

From here on you should know the number of beads that Nicole has or suppose, for example:

x = 12

y = 42 - 3/4 * 12

y = 33

Therefore, you would have 33 beads.