Write and solve a proportion to answer the question.
72 is what percent of 45?

The joint density function for X and Y is as follows:$$f(x,y)=\begin{cases}6x, & \text{for } 0

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Break up the problem into 26,000 pounds and 9 pounds.

To find total boxes needed, divide by weight per box.

26,000 / 20 = 1300

Last box has 9/20 pounds of material

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

If two events (both with probability greater than 0) are mutually exclusive, they could be independent.

Mutually exclusive events refer to two events that cannot occur simultaneously. In other words, if one event happens, the other event cannot occur at the same time. On the other hand, independent events are those where the occurrence of one event does not affect the probability of the other event happening.

While it is true that mutually exclusive events could be independent, it is not always the case. The independence of events is determined by whether the occurrence of one event provides any information about the likelihood of the other event happening.

To understand this better, let's consider an example. Suppose we have two events: Event A and Event B. If Event A and Event B are mutually exclusive, it means that if Event A occurs, Event B cannot occur, and vice versa. If these events are also independent, the probability of Event B happening is not affected by whether Event A occurs or not, and vice versa.

For instance, let's say Event A represents flipping a coin and getting heads, while Event B represents rolling a die and getting a 6. These two events are mutually exclusive because you cannot get heads and roll a 6 simultaneously. However, they are also independent because the outcome of flipping the coin does not provide any information about the outcome of rolling the die, and vice versa. The probability of getting heads on the coin is always 1/2, regardless of what happens with the die, and the probability of rolling a 6 on the die is always 1/6, regardless of the outcome of the coin flip.

On the other hand, consider another example where Event A represents picking a card from a deck and getting a red card, while Event B represents picking a card from the same deck and getting a heart. These events are mutually exclusive because if you pick a red card, it cannot be a heart, and if you pick a heart, it cannot be a red card. However, these events are not independent because the occurrence of Event A (getting a red card) provides information about the likelihood of Event B (getting a heart). If you pick a red card, the probability of it being a heart increases compared to the overall probability of getting a heart from the deck.

In conclusion, while mutually exclusive events could be independent, it is not always the case. The independence of events depends on whether the occurrence of one event provides any information about the probability of the other event happening.

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The given question can be solve using quadratic formula.

The correct option is (c) \(3x^2 +8x -10=-8\).

Given:

The given equation is,

\(x=\dfrac{-8\pm\sqrt{8^2-4(3)(-1)}} {2(3)}\)---------------------------(1)

Write the general quadratic equation.

\(ax^2 + bx +c=0\)

Write the quadratic formula.

\(x =\dfrac {-b \pm \sqrt{(b^2 - 4ac)} } {2a}\)------------------------------- (2)

Compare equation (1) and (2).

\(a=3\\b=8\\c=-2\)

Substitute the value of \(a\), \(b\) and \(c\) in general quadratic.

\(3x^2 +8x -2=0\)

Subtract \(8\) from each side of above equation.

\(3x^2 +8x -2 -8=0-8\\3x^2 +8x -10=-8\)

Thus, the correct option is (c) \(3x^2 +8x -10=-8\).

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Answer:

Hello dear asker, you have to put the picture of the graph, then I would be happy to help

Answer: A) 1/3

Explanation: ok the left triangle is 9 and 27 and the right triangle is 3 and 9

The way you find this is saying what can you multiple the smaller numbers to get the big numbers, so 9 x 3 = 27 and 3 x 3 = 9 which is the bigger triangles area. The easiest way to do this in the future is take the biggest numbers and divide them by the denominated in your answer choices because if you took 27 and 9 / 3 you would get the numbers on the right side triangle. Good luck in the future :)

The solution of the absolute value equation:

|x-2|=|4+x|

is  x = -1

Here we want to solve the following equation:

|x - 2| = |4 + x|

A general absolute value function can be rewritten into two equations, in this case these are:

x - 2 = 4 + x

x - 2 = -(4 + x)

The first one has no solution, but the second one does.

x - 2 = -(4 + x)

x - 2 = -4 -x

2x = -4 + 2

2x = -2

x = -2/2 = -1

That is the solution.

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Remember that the slope-intercept equation of the line is:

where 'm' is the slope and b is the y-intercept.

In this case, we have the following:

therefore,, the slope is m = 2

Answer:

x=\(\frac{3}{2}\) and x=\(\frac{1}{6}\)

Step-by-step explanation:

\(\sqrt{36x^2-60x+25}=4\)

=> \(\sqrt{36x^2-60x+25}^{2} =4^{2}\)

=> \({36x^2-60x+25}=16\)

=> \(36x^2-60x+25-16=16-16\)

=> \(36x^2-60x+9=0\)

=> \(x_{1,\:2}=\frac{-\left(-60\right)\pm \sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}}{2\cdot \:36}\\\\\sqrt{\left(-60\right)^2-4\cdot \:36\cdot \:9}=48\)

=> \(x_{1,\:2}=\frac{-\left(-60\right)\pm \:48}{2\cdot \:36}\)

=>\(x_{1} = \frac{-\left(-60\right)+48}{2\cdot \:36}\\\\x_{1}=\frac{60+48}{2\cdot \:36}\\\\x_{1}=\frac{108}{72} \\\\\\x_{1}=\frac{3}{2}\\\)

=> \(x_{2}=\frac{-\left(-60\right)-48}{2\cdot \:36}\\\\x_{2} =\frac{60-48}{2\cdot \:36}\\\\x_{2}=\frac{12}{2\cdot \:36}\\\\\x_{2}=\frac{12}{72}\\\\x_{2}=\frac{1}{6}\)

Answer:

i think that the answer is the first equation

Step-by-step explanation:

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

Option C is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

To find the equation of the line passing through the points (0, 3) and (6, 11).

We can use the slope-intercept form of a linear equation,

which is y = mx + b, where m is the slope of the line and b is the y-intercept.

First, we can find the slope of the line by using the formula:

\(m = (y_2 - y_1) / (x_2 - x_1)\)

where

\((x_1, y_1) = (0, 3)\\(x_2, y_2) = (6, 11).\)

So,

m = (11 - 3) / (6 - 0) = 8/6 = 4/3

The slope of the line is 4/3.

Next,

We can use the point-slope form of a linear equation to write the equation of the line in terms of one of the points and the slope:

\(y - y_1 = m(x - x_1)\)

Choosing the point (0, 3), we get:

y - 3 = (4/3)(x - 0)

Simplifying and solving for y, we get:

y = (4/3)x + 3

Therefore,

The equation of the line passing through the points (0, 3) and (6, 11) is:

y = (4/3)x + 3.

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Answer:

1. To make a bell curve (a normal distribution) with a mean of 41 and a standard deviation of 5, we can use the following values on the x-axis:

x = 21, 26, 31, 36, 41, 46, 51, 56, 61

These values are symmetric around the mean of 41, and each value is one standard deviation away from the mean.

On the y-axis, we can mark the percentage of people in each interval, which is calculated using the area under the curve. The total area under the curve is 100%.

2. To find the percentage of people who were below 31 years old, we need to calculate the area under the curve to the left of x = 31. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.0228, or 2.28%.

So, about 2.28% of people were below 31 years old.

3. To find the percentage of people who were above 31 years old, we can subtract the percentage of people below 31 years old from 100%.

100% - 2.28% = 97.72%

So, about 97.72% of people were above 31 years old.

4. To find the percentage of people between 41 and 46 years old, we need to calculate the area under the curve between x = 41 and x = 46. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.3413, or 34.13%.

So, about 34.13% of people were between 41 and 46 years old.

5. To find the percentage of people older than Kip (who is 38 years old), we need to calculate the area under the curve to the right of x = 38. Using a standard normal distribution table or calculator, we can find this area to be approximately 0.6306, or 63.06%.

So, about 63.06% of people were older than Kip.

Step-by-step explanation:

The probability will be 0.037 or 3.7% when it is rounded to the nearest tenth.

To calculate the probability of hitting the clown's mouth, we need to compare the area of the clown's mouth to the total area of the rectangular wood piece.

The area of the clown's mouth can be found using the formula for the area of a circle: A = π * (r^2), where r is the radius. In this case, the diameter is given as 3 inches, so the radius is 1.5 inches.

Plugging the values into the formula, we get A = π * (1.5^2) = 7.065 square inches. The total area of the rectangular wood piece is 16 inches * 12 inches = 192 square inches.

Therefore, the probability of hitting the clown's mouth is 7.065 / 192 ≈ 0.0367, which rounds to 0.037 or 3.7% when expressed as a percentage rounded to the nearest tenth.

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0.165 million jobs must be created monthly to keep unemployment from increasing.

How many new jobs have to be created each month to keep unemployment from increasing?

The population of the labor force = is 165 million

Percentage increase of labor force in a year = 1.2 % of 165 million

Percentage increase in the labor force in a month 1.2 %/12=0.1 %=  of 155 million

Jobs required to be created each month = population increase each month

165 million *0.1/100=0.165 million

0.165 million jobs must be created monthly to keep unemployment from increasing.

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The molarity after dilution is approximately 0.02016 M

To find the resulting molarity (M) after dilution, we can use the equation:

M₁V₁ = M₂V₂

Where:

M₁ = initial molarity

V₁ = initial volume

M₂ = resulting molarity

V₂ = resulting volume

In this case:

M₁ = 0.224 M

V₁ = 0.90 mL = 0.90 cm³

M₂ = ?

V₂ = 10.00 mL = 10.00 cm³

Plugging in the values into the equation, we get:

(0.224 M)(0.90 cm³) = (M₂)(10.00 cm³)

Rearranging the equation to solve for M₂:

M₂ = (0.224 M)(0.90 cm³) / (10.00 cm³)

Calculating the value, we find:

M₂ = 0.02016 M

Therefore, the resulting molarity after dilution is approximately 0.02016 M.

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By Using the Cumulative distributed Function(CDF)m we get:

a) P (x <= 3 ) = 0.36

b) P ( 2.5 <= x <= 3  ) = 0.11

c) P (x > 3.5 ) = 1 - 0.49 = 0.51

d) x = 3.5355

e) f(x) = x / 12.5

f) E(X) = 3.3333

g) Var (X) = 13.8891  , s.d (X) = 3.7268

h) E[h(X)] = 2500

Given:

The cdf is as follows:

F(x) = 0                    x < 0

F(x) = (x^2 / 25)     0 < x < 5

F(x) = 1                   x > 5

Now,

a) Evaluate the CDF given with the limits 0 < x < 3.

So, P (x <= 3 ) = (x^2 / 25) | 0 to 3

P (x <= 3 ) = (3^2 / 25)  - 0

P (x <= 3 ) = 0.36

b) Evaluate the CDF given with the limits 2.5 < x < 3.

So, P ( 2.5 <= x <= 3 ) = (x^2 / 25) | 2.5 to 3

P ( 2.5 <= x <= 3  ) = (3^2 / 25)  - (2.5^2 / 25)

P ( 2.5 <= x <= 3  ) = 0.36 - 0.25 = 0.11

c) Evaluate the CDF given with the limits x > 3.5

So, P (x > 3.5 ) = 1 - P (x <= 3.5 )

     P (x > 3.5 ) = 1 - (3.5^2 / 25)  - 0

    P (x > 3.5 ) = 1 - 0.49 = 0.51

d) The median checkout for the duration that is 50% of the probability:

   So, P( x < a ) = 0.5

         ⇒ (x² / 25) = 0.5

          ⇒ x² = 12.5

          ⇒ x = 3.5355

e) The probability density function can be evaluated by taking the derivative of the cdf as follows:

      pdf f(x) = d(F(x)) / dx = x / 12.5

f) The expected value of X can be evaluated by the following formula from limits - ∞ to +∞:

      E(X) = integral ( x . f(x)).dx          limits: - ∞ to +∞

       E(X) = integral ( x² / 12.5)    

        E(X) = x³ / 37.5                    limits: 0 to 5

        E(X) = 5³ / 37.5 = 3.3333

g) The variance of X can be evaluated by the following formula from limits - ∞ to +∞:

 Var(X) = integral ( x² . f(x)).dx - (E(X))^2          limits: - ∞ to +∞

 Var(X) = integral ( x³ / 12.5).dx - (E(X))^2    

 Var(X) = x⁴/ 50 | - (3.3333)^2                         limits: 0 to 5

 Var(X) = 5⁴/ 50 - (3.3333)^2 = 13.8891

Standard Deviation (s.d) (X) = sqrt (Var(X)) = sqrt (13.8891) = 3.7268

h) Find the expected charge E[h(X)] , where h(X) is given by:

      h(x) = (f(x))^2 = x^2 / 156.25

The expected value of h(X) can be evaluated by the following formula from limits - ∞ to +∞:

E(h(X))) = integral ( x . h(x) ).dx          limits: - ∞ to +∞

E(h(X))) = integral ( x^3 / 156.25)    

E(h(X))) = x^4 / 156.25                      limits: 0 to 25

E(h(X))) = 25^4 / 156.25 = 2500

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According to the solving the lenght of line segment is TU = 12.

An  portion of a line with two endpoints is referred to as a line segment. A line segment, unlike a line, has a definite length.

Because T is on the line segment SU. so, addition of ST and TU must be equal to SU

SU = ST + TU..........(1)

SU = 3x -7

TU = x -1

ST = x + 7

Substituting these values into equation (1)

3x-7 = x +7 + x -1

3x -7 = 2x + 6

x = 13

For the numerical length of TU

TU = x - 1

TU = 13 - 1

TU = 12

The numerical value of tu is 12

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Answer:

we cant see the octogon

Step-by-step explanation:

Answer:

2^(3/7)

Step-by-step explanation:

For these types of questions, what is inside the root is the numerator, and what is on top is the denominator.

3 is in the root, so it is the numerator

7 is outside the root, so it is the denominator

Therefore, The answer is 2^(3/7)

The correct option is a b c d.

fd = 2,809

We need to round the given answers to the nearest hundredth.

a. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

b. 150, 150, fd = 2,809

Now, we need to find 150 such that it is the same percentage as 2,809 of 150.

150 * (2,809/100) = 4.2135 ≈ 4.21

So, 150, 150, fd = 2,809 ≈ 4.21, 4.21, fd ≈ 100

c. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

d. 150, 150, fd = 53

Now, we need to find 150 such that it is the same percentage as 53 of 150.

150 * (53/100) = 79.5 ≈ 79.5

So, 150, 150, fd = 53 ≈ 79.5, 79.5, fd ≈ 100

Therefore, the correct option is a b c d.

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The estimated probability of the occupation of firefighters is 0.62

A recent Harris Poll survey of 1010 U.S. adults selected at random showed that 627 consider the occupation of firefighter to have very great prestige. i.e. The sample size of U.S. adults : n= 1010

The number of U.S. adults consider the occupation of firefighter to have very great prestige: x= 627

Now we see, the probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige will be:

p = x/n

 = 627/ 1010 = 0.62 [ To the nearest hundredth]

        Therefore, the estimated probability that a U.S adult selected at random thinks the occupation of firefighters has very great prestige = 0.62

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Answer:

w = xc/y

Hope this helps!

The projected misstatement of this sample would be $50,000, calculated as follows: ($4,000 / $5,000) x $10,000.

In a probability-proportional-to-size sample, each item's chance of being selected is proportional to its recorded amount, so larger accounts have a higher probability of being selected. In this case, the auditor selected an account with a recorded amount of $5,000, but found that it had an audited amount of $4,000.

To project the misstatement of this sample, the auditor needs to estimate the total misstatement in the population by multiplying the audited amount by the inverse of the sampling fraction, which is the sampling interval divided by the recorded amount of the selected item. So, the projected misstatement is ($4,000 / $5,000) x $10,000 = $8,000 x 6.25 = $50,000. This means that the auditor estimates the total misstatement in the population to be approximately $50,000 based on this sample.

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Answer:

5 hours, y= how much money it will cost, and x represents how many hours

Step-by-step explanation:

y= 15x+45

120= 15x+45

-45 -45

75= 15x

75/15×= 5 hours

Answer:

0.99

Step-by-step explanation:

         00.99

     12 11.88

          − 118

               108

               108

                   0

Answer:

Step-by-step explanation:

13x-4 = 8x+11

13x-4 = 8x+11

-8x       -8x

5x-4=11

+4    +4

5x=15

/5   /5

x=3

Plug it in...

13(3) -4

39-4

=35

The value of AD is: AD = 35.

Here, we have,

from the given figure, we get,

both the triangles are similar to each other.

so, we have,

AD = DC

i.e.

13x-4 = 8x+11

To solve the equation 13x - 4 = 8x + 11, we need to isolate the variable x on one side of the equation.

Here are the steps:

Start by moving the terms with x to one side of the equation.

We can do this by subtracting 8x from both sides:

13x - 8x - 4 = 8x - 8x + 11

Simplifying the left side:

5x - 4 = 11

Next, move the constant term (-4) to the other side by adding 4 to both sides of the equation:

5x - 4 + 4 = 11 + 4

Simplifying:

5x = 15

To isolate x, divide both sides of the equation by the coefficient of x, which is 5:

(5x)/5 = 15/5

Simplifying:

x = 3

Therefore, the solution to the equation 13x - 4 = 8x + 11 is x = 3.

so, we get, x = 3

Plug it in AD, we have,

13(3) -4

=39-4

=35

Hence, The value of AD is: AD = 35.

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Answer:

This is your answer ☺️☺️☺️

Answer:

The answer is 2 and 8!

Hope this helped :D

Answer:

82.96 people/km^2

Step-by-step explanation:

people / square km

3.70 x 10^9        

----------------- =    

4.46 x 10^7      

3.70 x 10^2

----------------

 4.46

0.8295... x 100 = 82.959641 or rounded 82.96

Answer:

What does the "+8" mean in the expression 2x + 8?

The +8 is the 8 more advertisement orders received on Friday.

It's 8 more than x.

How many more advertisements were ordered on Friday than Thursday

8

The number of days

2

The number of advertisement ordered on Friday

x + 8

The total number of advertisement on both days

2x + 8

Answer:

A

Step-by-step explanation:

I took the test