2. The continuous random variable, X has cumulative distribution function Fx(x) = 1 – x^2 for x > 1 (a) if Y = X^2, find Fy(y) the cumulative distribution function of Y. (b) if Y = e^x, find Fy(y) the cumulative distribution function of Y.

The car travels 30 miles in 45 minutes with the speed 40 miles/hour with the constant speed.

Velocity is the rate and direction of an object's movement, whereas speed is the time rate at which an object is moving along a path. In other words, velocity is a vector, whereas speed is a scalar value. The distance traveled by a moving object in a specific amount of time is its speed. How quickly something is moving is determined by its speed. The distance traveled by an object in a given amount of time divided by the time gives the object's average speed.

Here,

45 minutes/60 minutes= .75 hours (this gives you the amount of time in hours)

time x speed = distance

.75 hours time x 40 mph speed = 30 miles distance

With a constant speed of 40 miles per hour, the car covers 30 miles in 45 minutes.

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Answer:

The answer is : 4 touchdowns

Step-by-step explanation:

\(24 \div 6\)

\(calculate = \frac{24}{6} \)

\( = 4\)

The time taken by the two men will be equal to 26 hours

The speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.

here two men are walking at different speeds like

v₁=6 miles per hour

v₂=10 miles per hour

The time taken by them to separated by the distance of 100 miles each so that both of them separated by the distance of 200 miles.

t₁= {100}/{6}=16.66 hours

t₂= {100}/{10}=10 hours

total time taken will be

t₁+t₂=16.66+10=26.66 hours

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290 people Apple wants to visit the store every day after Layla’s marketing campaign.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given Apple wants to increase the number of people who enter in stores in London every day,

let X be Apple’s target amount of people,

380 is double the difference between, the target amount of people which apple wants to visit the store every day and 100

difference between the target amount of people and 100 is

X - 100

double the equation = 2(X - 100)

the equation is equal to 380

2(X - 100) = 380

divide both sides by 2

X - 100 = 380/2

X - 100 = 190

X = 190 + 100

x  = 290

Hence  Apple’s target amount of people is 290.

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Answer:

see below

Step-by-step explanation:

If it decreases at  10.5 % per year then 89.5 % remains

Value =      y =  35 300 ( .895)^x

value when x = 5.5      y =  $ 19177.92

y= √x

Identify the equation of the function.

y= √-1+3

Answer:

b. y = square root x

Step-by-step explanation:

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

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Answer:

$9.89

Step-by-step explanation:

15% as decimal = 0.15

0.15(8.60) = 1.29

1.29 tip + 8.60 = $9.89

Jie spends $9.89 at the cafe

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

26,530,000

Step-by-step explanation:

this is quite easy, first you can write this question differently

Just view this problem as 7 x 379 which is 2653, now count how many zeros 70,000 has, which is 4 and add it to the answer 2653, which will give you 26,530,000

The multiplication or products of 70,000 and 379 is 26,530,000

Given:

70,000 × 379

= 26,530,000

Where from the left,

In words, 26,530,000 is written as twenty six million, five hundred and thirty thousand.

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The perimeter of the rectangle, when the area is maximized, is approximately 24.63 units. Therefore, correct option is a.

To maximize the area of the rectangle inscribed in the parabola \(y^2 = 16x\), we need to find the dimensions of the rectangle. Since the side of the rectangle is along the latus rectum of the parabola, we know that the length of the rectangle is equal to the latus rectum.

The latus rectum of the parabola \(y^2 = 16x\) is given by the formula 4a, where "a" is the distance from the focus to the vertex of the parabola. In this case, the focus is located at (4a, 0).

To find "a," we can equate the equation of the parabola to the general equation of a parabola in vertex form: \(y^2 = 4a(x - h)\), where (h, k) is the vertex of the parabola.

Comparing the two equations, we get:

4a = 16

a = 4

Therefore, the latus rectum of the parabola is 4a = 4 * 4 = 16 units.

Since the length of the rectangle is equal to the latus rectum, we have length = 16 units.

Now, to find the width of the rectangle, we need to determine the corresponding y-coordinate on the parabola for the given x-coordinate of the latus rectum. The x-coordinate of the latus rectum is half the length, which is 16/2 = 8 units.

Substituting x = 8 into the equation of the parabola, we get:

\(y^2 = 16(8)\\y^2 = 128\\y = \sqrt{128} = 11.31\)

Therefore, the width of the rectangle is approximately 11.31 units.

The perimeter of the rectangle is given by the formula:

Perimeter = 2(length + width)

Plugging in the values, we have:

Perimeter = 2(16 + 11.31)

Perimeter ≈ 2(27.31)

Perimeter ≈ 54.62

Rounding the perimeter to two decimal places, we get approximately 54.62 units, which is equivalent to 24.63 units.

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Answer:

1=a4+3

Step 1: Subtract a^4+3 from both sides.

1−(a4+3)=a4+3−(a4+3)

−a4−2=0

Step 2: Add 2 to both sides.

−a4−2+2=0+2

−a4=2

Step 3: Divide both sides by -1.

−a4

−1

=

2

−1

a4=−2

Step 4: Take root.

a=±(−2)(

1

4

)

Answer:

No real solutions.

The value of length of AC is,

⇒ AC = 8.25

We have to given that;

CD = 6.6 cm, DE = 3.4 cm, CE = 4.2 cm, and BC = 5.25 cm

Now, We can formulate;

BC / AC = EC / CD

Substitute the values we get;

5.25 / AC = 4.2 / 6.6

Solve for AC;

5.25 x 6.6 / 4.2 = AC

AC = 8.25

Thus, The value of length of AC is,

⇒ AC = 8.25

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The observed allele frequencies for the T102C locus are as follows: T allele frequency = 0.388 and C allele frequency = 0.612.


To calculate the observed allele frequencies, we divide the number of occurrences of each allele by the total number of alleles observed.

In this case, the T allele is observed in 108 TT genotypes and 194 TC genotypes, giving a total of 108 + 194 = 302 T alleles. Similarly, the C allele is observed in 194 TC genotypes and 48 CC genotypes, giving a total of 194 + 48 = 242 C alleles.

To calculate the T allele frequency, we divide the number of T alleles by the total number of alleles: 302 T alleles / (302 T alleles + 242 C alleles) = 0.388 (or approximately 0.39).

Similarly, the C allele frequency is calculated as: 242 C alleles / (302 T alleles + 242 C alleles) = 0.612 (or approximately 0.61).

Therefore, the observed allele frequencies for the T102C locus are T allele frequency = 0.388 and C allele frequency = 0.612.

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The least positive integer we can get as the product is 2.

Here we have the following set of numbers:

{-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5}

And we want to take the product between 3 of them and find the least positive integer that we can get as the product.

So it makes sence to choose the smallest absolute value numbers (not zero) such that one is positive and two are negative (we want two negative ones so the signs cancell eachother)

Then we will get:

1*(-1)*(-2) = 2

That is the least positive integer we can get as the product.

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Answer:

20x-60=280

Equation

So x for unknown amount of months, since 20 dollar each month 20x

-60 becuase she withdraws 60 one time

=280 becuase thats what she has left

Now solve

add 60 on both sides

20x=340

Divide 20 on both sides

x=17

17 months

3528x^3

when you look it up remove the bar at the bottom or its weird right?

Answer: D) phone calls made on a landline

More and more people are using cellphones, because of the convenience of having your phone with you at all times. From an economical standpoint, it doesn't make sense to pay for both a cell phone and a landline (especially if your budget is thin). So many people have decided to drop having a landline all together. The less people using a landline produces a negative downward trend, which is why we have negative linear correlation.

Answer:

The desired product is (x + 2)(x + 4).

Step-by-step explanation:

If x is an even integer, x + 2 is the next consecutive even integer and x + 4 the next.  

The desired product is (x + 2)(x + 4).

Answer: 48

Step-by-step explanation: 48 is the highest mileages

Answer:

d i hope

Step-by-step explanation:

good

Answer:

I think it is c

Step-by-step explanation:

hope this helps

The probability of rolling a 3 or a 5 on the purple die is 1/3.

The problem states that we are rolling a purple die, which has six faces representing the numbers 1 to 6. We want to determine the probability of getting a 3 or a 5.

To find the probability, we need to compare the number of favorable outcomes (rolling a 3 or a 5) to the total number of possible outcomes.

The total number of possible outcomes is 6 since there are six faces on the die.

Now let's consider the favorable outcomes. In this case, we are interested in rolling a 3 or a 5. There are two faces on the die that represent these numbers.

Therefore, the number of favorable outcomes is 2.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of Favorable Outcomes / Total Number of Possible Outcomes

In this case, the probability is 2/6.

This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

2/6 = 1/3

Therefore, the probability of rolling a 3 or a 5 on the purple die is 1/3.

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Incomplete question:

Suppose you roll a purple die where each face represents a number from 1 to 6. Determine the probability of getting a 3 or a 5.

Answer:

  5.  E, B, D

  6. EB, BD, ED

  9. BE

  10. EBA, EBD, EBF

  11. ABD

  12. ABF

Step-by-step explanation:

5. The name of the triangle lists the vertices: E, B, D.

__

6. The sides are named by pairs of vertices: EB, ED, BD.

__

9. The common side of angle ABE and angle EBD is BE.

__

10. Any of the remaining points can serve to identify an angle with BE as one side: ABE, DBE, FBE

__

11. Angles 1 and 2 together form angle ABD.

__

12. The three angles add to give the straight angle ABF.

Answer:

2.25 gallon

Step-by-step explanation:

Since her friends drank half of the sweet tea, we find out what is left by dividing 4.5 by 2.

4.5/2=2.25

Answer:

4.5 divided by 2 = 2.25 = 2 1/4 gallons left

Step-by-step explanation:

Answer:

1 makes this problem true

Step-by-step explanation:

-1t+14=3t+10

-1(1)+14 = 3(1)+10

-1 +14 =3+10 , 13=13

So 1 makes this problem true

If a sample of items is taken and the mean of the sample is out of control and the cause should be established producing high quality products.

The correct option is option (A).

When Statistical Process Control (SPC) samples an item and the mean of the sample is outside the control limits, the process is as follows. You don't have to worry within certain control limits using only natural sources of variation to produce under control within certain control limits. The process is said to be out of control and the cause should be investigated. That is, many sample points are outside the control limits, a sample of the item is taken, and the average of the samples is outside the control limits.

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Complete question:

In Statistical Process Control (SPC), if a sample of items is taken and the mean of the sample is outside the control limits, the process is:

a) out of control and the cause should be established producing high quality products b)in control and capable of producing within the established control limits in control,

c)there is no need for concern

d)within the established control limits with only natural causes of variation

Answer:

1. y = 10(1/3)^x

2. 24.8 bacteria per minute

Step-by-step explanation:

1.

When you raise a number between 0 and 1 to a positive exponent, the result is less than 1, so it indicates exponential decay.

The only such function in the choices is

Answer: y = 10(1/3)^x

2.

b(t) = 4(2)^t

b(0) = 4(2)^0 = 4

b(5) = 4(2)^5 = 128

average rate of change = (128 - 4)/(5 - 0) = 124/5 = 24.8

Answer: 24.8 bacteria per minute

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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