Let y = 5e5z
A. Find the differential dy
25e53
dy
B. Use part A. to find dy when x = - 3 and dir = 0.4.
Round your answer to 2 decimal(s).
dy =
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Let X and Y be random variables that are independent, and their common pdf is f(x) = e x, (x > 0). Find the joint pdf of U = X/(X + Y), V = X + Y. Then, at that point, |J| = v(1 − u) + uv = v(> 0).

Keep in mind that 0 u  1, 0 v. The joint probability density function (joint pdf) of the continuous random variables X and Y is a piecewise continuous function that satisfies the following if they are defined on the same sample space S. P(Xa and Yb)=baf(x,y)dxdy = F(a,b).

A continuous random variable's probability density function, or PDF, indicates the relative likelihood of any continuum outcome occurring. For a continuous random variable, every outcome has a probability of zero, in contrast to discrete random variables.

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Answer:

36.3636364%

or 36.36

Step-by-step explanation:

In order to construct a Venn diagram for a survey, first enter the cardinality of the universal set to obtain subsequent cardinalities.

The universal set is the set of all possible outcomes, and the cardinality of a set is the number of elements in the set. Once you have the cardinality of the universal set, you can use it to calculate the cardinality of any other set in the survey.

For example, if the universal set has a cardinality of 100, and the survey asks people whether they like dogs or cats, you can calculate the number of people who like dogs by subtracting the number of people who like cats from the total number of people surveyed.

In order to construct a Venn diagram, you will need to draw two or more circles, each representing a set in the survey. The circles should be overlapping to represent the sets that have members in common.

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In order to construct a Venn diagram for a survey, first enter the cardinality of the to obtain subsequent cardinalities region. Then use

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Answer:the slant height of the triangular pyramid is approximately 11.4132 centimeters.

y-intercept is the point in the y-axis that the graph intersects.

From the figure, the graph intersects at point (0, 3)

The y- intercept is (0, 3)

x-intercept is the point in the x-axis that the graph intersects.

Since the graph does not intersects the x-axis, the x-intercept does not exist

Vertex is a point on the graph that is a maximum or a minimum.

The vertex of the graph which is the lowest point as shown in the figure is at point (1, 2)

And this is a minima, since it is the lowest point.

Domain is the set of x-values that exist in the graph, the graph is going infinitely to the left and to the right, therefore the domain is (-∞, ∞)

Range is the set of y-values that exist in the graph, the y values starts from the vertex which is the lowest point at (1, 2) going upward.

So the range is all real numbers greater than or equal to 2. [2, ∞)

End behavior is the behavior of the function at large positive and negative values of x.

when x goes positive infinity, f(x) goes to positive infinity

As x ⇒ ∞, f(x) ⇒ ∞

when x goes negative infinity, f(x) goes to negative infinity

As x ⇒ -∞, f(x) ⇒ -∞

Decreasing interval occurs when the graph is going down, and increasing interval occurs when the graph is going up.

Decreasing interval will be (-∞, 1]

Increasing interval will be [1, ∞)

The values are;

Length = 6 inches

Width = 14 inches

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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The values are;

Length = 6 inches

Width = 14 inches

How to determine the values

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

P is the perimeter

l is the length

w is the width

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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\(\huge\boxed{Hi\: there!}\)

\(\huge\mathfrak{Question:}\)

Is 7,301,771 divisible by 6?

\(\huge\mathfrak{Answer:}\)

No.

Remember, divisible by means the given number can be divided by a number without a remainder.

If we divide 7,301,771 by 6, we will get a remainder.

\(\huge\boxed{Therefore,\: 7,301,771 \: isn't \: divisible\: by 6.}\)

\(\huge\mathfrak{Good\: luck!}\\\huge\bold {~CheerfulTeen}\)

On solving the provided question, we can say that The number of hours he has to work since he earns $12 per hour would be 480/12 = 40 hours of work.

Along with addition, subtraction, and division, multiplication is one of the four arithmetic operations. Multiplication in math refers to regularly adding groups of the same size. The formula for multiplication is multiplicand multiplier Equals product. Specifically, multiplicand: First number (factor). divider: Second number (factor). After multiplying the multiplicand and the multiplier, the result is known as the product. Multiple additions are made while adding numerals. as in 5 times 4 Equals 5 + 5 + 5 + 5 = 20. I multiplied 5 by 4 times. Multiplication is frequently referred to as "doubling" because of this.

$500

8% tax = 8/100 * 500 = $40

He is paying 2 bills of $35 each making a total of 2 * $35 = $70

The total amount he is to pay is thus; 500 + 40 + 70 = $610

Bonus $45

Birthday gift $85

The total amount of money he has asides his salary to offset the bill is 45 + 85 = $130

The balance to pay from his salary would be $610 - $130 = $480

The number of hours he has to work since he earns $12 per hour would be 480/12 = 40 hours of work

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Answer:

Chromosomes

Have a great day!

Answer:

chromosomes are genetic materials found in the Nucleus of a cell, and hence it holds DNA .

Answer:

$422.50

Step-by-step explanation:

If the bike is marked down by 35% then the final sale price will be 65% of the original price (since 100% - 35% = 65%).

Convert 65% into a decimal:  65% = 65/100 = 0.65

Therefore, 65% of $650 = 0.65 × 650 = $422.50

We need first mark downed amount

\(\\ \rm\Rrightarrow 0.35(650)=227.5\)

Marked down price

Answer:

Step-by-step explanation:

If the owner's beliefs are correct,  Event A and Event B are not mutually exclusive and are independent and must be true for event A and event B.

Simply put, the 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 several outcomes.

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Additionally, the proportion of positive outcomes cannot be negative. In the sections that follow, let's go into greater detail on the fundamentals of probability.

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Answer:

67/100

Step-by-step explanation:

Find common denominators, note that what you do to the denominator, you must do to the numerator.

The common denominator is 100:

(3/10)(10/10) = (3 * 10)/(10 * 10) = 30/100

Add:

37/100 + 30/100 = 67/100

67/100 is your answer.

~

Answer:

67/100

Step-by-step explanation:

37/100+3/10

Get a common denominator

37/100 + 3/10 *10/10

37/100+30/100

67/100

Answer:

57064

Step-by-step explanation:

d) You have a difference of squares:

49y² - 9 = (7y)² - 3²

Recall the identity,

a² - b² = (a - b) (a + b)

So,

49y² - 9 = (7y - 3) (7y + 3)

e) Pull out the common factor 3 from each term:

3x² - 3x - 90 = 3 (x² - x - 30)

Now use the sum-product method. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so

3x² - 3x - 90 = 3 (x + 5) (x - 6)

f) Same as in (e), use the sum-product method. Notice that 42 = 7 • 6, and -7 - 6 = -13, so

x² - 13x + 42 = (x - 7) (x - 6)

#1

#2

#3

The center of the sampling distribution of the sample mean for a random sample of 75 adults is the same as the population mean of 98.6°F, while the variability is reduced compared to the individual body temperatures due to the larger sample size.

The center of the sampling distribution of the sample mean for a random sample of 75 adults can be described as the same as the population mean, which is 98.6°F.

This means that, on average, the sample means of different samples of size 75 will be centered around 98.6°F.

The variability of the sampling distribution of the sample mean can be described by the standard error, which is the standard deviation of the sample mean.

The standard error is calculated by dividing the standard deviation of the population by the square root of the sample size.

In this case, the standard error would be 0.60°F divided by the square root of 75.

Since the sample size is relatively large (75), the standard error will be relatively small, indicating less variability in the sample means.

A smaller standard error suggests that the sample means will be closer to the population mean of 98.6°F, indicating a higher precision in estimating the true population mean.

Overall, the center of the sampling distribution is the same as the population mean (98.6°F), while the variability is reduced due to the larger sample size, resulting in a smaller standard error.

This means that the sample means of different samples of size 75 are more likely to cluster around the population mean, providing a more accurate estimation of the true mean body temperature of adults.

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Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

to cancel the exponential we apply natural log on both sides

multiply -1 on each side

Answer:

1134mm

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

I think that is it so I'm going to go at it

You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.

For the given data:

Mean (μ) = 269 days

Standard deviation (σ) = 17 days

To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.

To find the z-score for the 1% percentile (lower bound):

z1 = Φ^(-1)(0.01)

Similarly, to find the z-score for the 99% percentile (upper bound):

z2 = Φ^(-1)(0.99)

Now, we can calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:

lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days

upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days

Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.

Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:

Mean of sample means (μ') = μ = 269 days

Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229

To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').

Now, calculate the z-scores:

z1 = Φ^(-1)(0.01) ≈ -2.33

z2 = Φ^(-1)(0.99) ≈ 2.33

Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:

lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days

upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days

Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.

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Answer:

21/8

Step-by-step explanation: So in 1 day Peter walks 7/8 of a mile. You take 3 and make it 3/1 then mutiply it by 7/8. Your final answer is 21/8 miles or 2 5/8

Answer:

The answer to this question is given below in the explanation section.

Step-by-step explanation:

This question is about the number line going from negative 1 to positive 1 and between numbers there are 4 equal spaces.

for example:

1....0....1

Point A is 1 mark to left of zero.

1 . . . . 0 . . . . 1

So when you point A is 1 mark to the left of zero. Its mean that there is a point left to zero (that means toward the positive line number).    

 1 . . . . 0 . . . . 1

 1 . . . A 0 . . . . 1  

So, A is the one-fourth.  Because A is one-fourth between numbers.

2916 ft³

Volume helps describe the amount of space that a shape takes up.

Volume of a Sphere

Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.

Volume Formula

Every regular shape has its own volume formula. For a sphere, the formula is:

So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.

When using 3 for pi, the volume of the sphere is 2916 ft³.

Answer:

c=$60/3.  $20 dollars per class.

Step-by-step explanation:

Answer:

7 : 9

Step-by-step explanation:

62 + 217 = 279

total: 279

females: 62

males: 217

males : total = 217 : 279

217 and 279 are divisible by 31

217 : 279 = 7 : 9

Answer:

Diameter of the circle = 7

Step-by-step explanation:

The exact question is as follows :

Given - The prom is in need of a floral archway, such as the one below. Segment RC is the perpendicular bisector of segment AH. If AH=6 and RC=2

To find - determine the diameter of the circle that contains AH.

Proof -

Given that,

AH = 6

RC = 2

Let us denote,

CB = x

So,

RB is the radius of the circle. It gives the value x + 2

As AH = 6

⇒AC = CH = 3

Also,

BH is the radius,

So, BH = x + 2

Now,

In triangle CBH,

BH² = CB² + HC²

⇒(x+2)² = x² + 3²

⇒x²+2² + 4x = x² + 9

⇒4 + 4x = 9

⇒4x = 9 - 4

⇒4x = 5

⇒x = 5÷4

⇒x = 1.5

So,

Radius = x + 2

           = 1.5 + 2 = 3.5

⇒Radius = 3.5

As we know,

Diameter = 2×Radius

                = 2×3.5

                = 7

⇒Diameter of the circle = 7

The Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the diameter of the circle is 6.5 units.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The prom is in need of a floral archway, such as the one below.

Segment RC is the perpendicular bisector of segment AH.

If AH = 6 and RC = 2.

Let CB be x.

Then the radius RB will be x + 2

BH = x + 2

Then by the Pythagoras theorem, we have

BH² = CB² + HC²

⇒ (x + 2)² = x² + 3²

⇒x² + 4 +4x = x² + 9

⇒ 4x = 5

⇒ x = 1.25

The radius will be

r = x + 2

r = 1.25 + 2

r = 3.25

Then the diameter will be

Diameter = 2 × r

Diameter = 2 × 3.25

Diameter = 6.5

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Answer: 84

Step-by-step explanation:

4 x 21 is 84 a fraction can be simplified and be a whole number so if 84 divided by 4 it will be 21 if you want to write it as a fraction it will be 21/1 which is equal to 21

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