Please help! Find m<3 in the following parallelogram.

the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

To solve this problem, we need to use the central limit theorem which states that the distribution of the sample means will be approximately normal with mean equal to the population mean and standard deviation equal to the population standard deviation divided by the square root of the sample size.

Given that the population mean is 51800 and the population standard deviation is 4000, we can calculate the standard error of the mean as follows:

Standard error of the mean = 4000 / sqrt(64) = 500

We want to find the probability of obtaining a sample mean within 500 of the population mean. This can be written as:

P(51800 - 500 < X < 51800 + 500)

where X is the sample mean.

We can standardize this interval using the standard error of the mean:

P(-1 < Z < 1)

where Z is a standard normal variable.

Using a standard normal table, we find that the probability of Z being between -1 and 1 is approximately 0.6827.

Therefore, the probability of obtaining a sample mean within 500 of the population mean is approximately 0.6827.

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37000 + 37000\(0.09)

is the answer.

Answer:

(A)

Step-by-step explanation:

(D) is already out since the teachers may have favorites or unfavorites.

(C) is already out since you can't be in all the halls at once.

There is only (A) and (B).

I think it's (A) and not (B) because it might not be a classes/grades library day.

The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.

The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.

Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.

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Given information: Marginal-cost function is dc/dq = 1/3-1/2√3q, c(0) = 100To find: The cost of producing 300 unit.

To find the cost of producing 300 units, we need to integrate the marginal-cost function.∫dc/dq dq = ∫(1/3 - 1/2√3q)dqOn integrating, we get,c(q) = q/3 - √3q²/4 + C, where C is the constant of integration.To find the value of C, we will use the given condition: c(0) = 100c(0) = 0/3 - √3(0)²/4 + C = 100C = 100So, the cost function is:c(q) = q/3 - √3q²/4 + 100The cost of producing 300 units will be:c(300) = (300/3) - √3(300)²/4 + 100= 100 - 225√3 + 300= 400 - 225√3Therefore, the cost of producing 300 units is 400 - 225√3. Answer: 400 - 225√3.

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The correct answer of the marginal-cost function for a product is cost of producing 300 units is  100.

The marginal-cost function for a product is dc/dq = 1/3-1/2√3q.

Cost of producing 300 unit is to be determined.

The marginal-cost function is given as,dc/dq = 1/3 - (1/2) √3q

Integrate dc/dq to get the cost function c(q),c(q) = ∫dc/dq dqc(q) = ∫(1/3 - (1/2) √3q) dqc(q) = (1/3)q - (1/4) √3q^2 + k

where k is the constant of integration.

To find the value of k, use the given condition that c(0) = 100c(q) = (1/3)q - (1/4) √3q^2 + 100When q = 0,c(0) = (1/3)(0) - (1/4) √3(0)^2 + 100c(0) = 100

Therefore, k = 100

Thus, the cost function isc(q) = (1/3)q - (1/4) √3q^2 + 100

The cost of producing 300 units is

c(300)c(300) = (1/3)(300) - (1/4) √3(300)^2 + 100c(300) = 100

Therefore, the cost of producing 300 units is 100 units.

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Answer:

60 because their a 2 induivedinal in 1 sock.

Step-by-step explanation:

30 x 2 = 60

Step-by-step explanation:

5p =, 2 p +21+ 45

3P = 66

P= 22

Answer:

Cone:

radius r = 4 inches

height h = 18 inches

volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³

Cylinder:

r = 4 inches

h = 3 inches

volume = πr²h = (3.14)(4²)(3) = 904.32 cm³

Volume of cylinder is three times the volume of cone

The domain of the function shown in the graph is the one in option A:

6 ≤ k ≤ 11

The domain of a function y = f(x) is the set of the inputs of the function. To identify the domain in a graph, we need to look at the horizontal axis (also called the x-axis).

On the graph we can see that it starts at x = 6 with a closed dot, and it ends at x = 11 also with a closed dot.

That means that these values belong to the domain, so we can write the domain as follows:

Domain = 6 ≤ k ≤ 11

(notice that the variable in the horizontal axis is k).

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Answer:

The factors that multiply to equal

x^2  - 13x  + 42 = 0

is

(x-6)(x-7) = 0

So,

(x-6) = 0

x = 6

(x-7) = 0

x = 7

6, and 7, are the solutions. They are asking for PRODUCT of the solutions, which means to multiply.

So, 6 times 7 = 42.

The answer is 42

Answer:

f(x)=3^x

Step-by-step explanation:

assuming the n-1 is the exponent,

f(x)=3^x

the -1 is removed due to a graph starting at 0

The cost per dog treat is 0.55 dollars

How to determine this,

The cost of 8 dog treats is 4.40 dollars

And the number of 1 dog treat is x dollar

x dollar=4.40 dollars×1 dog treat/8 dog treats

x=0.55 dollar per one dog treat

To complete the table,

For 18 dog treats

when 1 dog treat is 0.55 dollar

18 dog treats is x dollar

x=18 dog treats×0.55 dollar/1 dog treat

x=9.9dollars

For 25 dog treats,

when 1 dog treat is 0.55 dollar

for 25 dog treats is x dollar

x=25 dog treats×0.55 dollar/1 dog treat

x=13.75 dollars

For 6.05 dollars,

when 1 dog treat is 0.55 dollar

x dog treat is 6.05 dollars

x=6.05 dollars×1 dog treat/0.55 dollar

x=11 dog treat

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Answer:

Step-by-step explanation: 0.55

Answer and explanation

as z= 7

3z -3

3(7) -3 =21-3 =18

Answer:

42.3%

Step-by-step explanation:

The total number of marbles is

8+11+7 = 26

The probability of getting a green marble is

P(green) = green/total = 11/26

               =.423076923

               = 42.31%

Answer:

B. 42.3%

Step-by-step explanation:

You first add all of the marbles together to know how many marbles are in the bag. When adding 8+11+7 you get 26, then you add it to the formula:

# of outcomes that satisfy the requirement/ total # of possible outcomes

you plug in 11 in the numerator (since it is the # of outcomes that satisfy the requirement), and 26 in the denominator (since it is the total # of possible outcomes)

11/26 = 0.423076923 = 0.423 = 42.3%

hope this helps!

Answer:

48 square centimeters

Step-by-step explanation:

\( \frac{1}{2} (4)(8)(3) = 48\)

Answer:

c

Step-by-step explanation:

Answer:

it's B (g+4)(g+10)

Step-by-step explanation:

you don't have to subtract when finding the dimensions

The principal will be outstanding at the halfway time C) p = $3218 & P(180) = 313,722.

Principal is an amount of money borrowed or invested, on which interest is paid. It is the original sum of money that is invested or borrowed and not the interest that accumulates over time. Principal is the amount of money before any interest or other costs are added. Borrowers must pay back the principal plus interest when the loan is due. Investors can earn returns on their principal when an investment is successful.

The payment for a 30 year $400,000 mortgage at 9% compounded monthly is calculated using the following formula:
p = (400000 * (1 + (0.09/12))³⁶⁰)/(360 * (1 - (1 + (0.09/12))^⁻³⁶⁰))
Plugging in the given values, we get:
p = (400000 * (1 + (0.09/12))³⁶⁰)/(360 * (1 - (1 + (0.09/12))^-360)) = $3218
The amount of principal outstanding at the halfway time (180 payments) is calculated using the following formula:
P(180) = 400000 - (p * 180)
Plugging in the given values, we get:
P(180) = 400000 - (3218 * 180) = 313,722
Therefore, the answer is C) p = $3218 & P(180) = 313,722.

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If You take a 30 year $400,000 mortgage at 9% compounded monthy. the paynebt will be $3218 and P(180) = 317,322.  The correct answer is A) p = $3218 & P(180) = 317,322.

What is probability?

Probability is a branch of mathematics that deals with the study of random events or phenomena. It involves the measurement of the likelihood or chance of an event occurring, based on the ratio of the number of favorable outcomes to the total number of possible outcomes.

To calculate the monthly payment for the mortgage, we can use the formula:

P = A / ((1 - (1 + r)^(-n)) / r)

where P is the monthly payment, A is the loan amount ($400,000), r is the monthly interest rate (9%/12 = 0.0075), and n is the total number of payments (30 years x 12 months/year = 360 payments).

P = 400000 / ((1 - (1 + 0.0075)^(-360)) / 0.0075)

P = $3,219.64 (rounded to the nearest cent)

Therefore, the monthly payment is $3,219.

To find the outstanding principal balance at the halfway time (180 payments), we can use the formula for the remaining balance of a loan after t payments:

P(t) = A * ((1 + r)^t - 1) / (r * (1 + r)^t)

where P(t) is the remaining principal balance after t payments.

P(180) = 400000 * ((1 + 0.0075)^180 - 1) / (0.0075 * (1 + 0.0075)^180)

P(180) = $313,721.87 (rounded to the nearest dollar)

Therefore, the correct answer is A) p = $3218 & P(180) = 317,322.

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The equation of the exponential graph shown is y = 100(1/2)^x

From the question, we have the following parameters that can be used in our computation:

An exponential graph

The equation of an exponential graph is represented as

y = ab^x

Where

a = y when x = 0

This means that

a = 100

So, we have

y = 100(b)^x

Using the points on the graph, we have

50 = 100(b)^1

This gives

b = 1/2

Hence, the equation is y = 100(1/2)^x

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So the probability of getting either a multiple of 2 on the first roll or a total of 6 for both rolls is: 1/2 + 5/36 - (1/2 x 5/36) = 19/36 Therefore, the probability of getting either a multiple of 2 on the first roll or a total of 6 for both rolls is 19/36.

Answer:

The probability is 2

Step-by-step explanation:

6-3= 2

Multiple times equals 3 times.

Answer:

proportional: y = kx

So, if we substituted k, an example could be y=2.5x.

An equation for a non proportional relationship can be y= 2.5x + 12. The 12 on the end is what makes it non-proportional

Answer:

9 1/4

Step-by-step explanation:

9.25-9=0.25

0.25 =1/4

9 1/4

An equation in slope-intercept form for the line that passes through (9,12) and is parallel to y=4 is y= 4x -24.

What is Parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

12 = 4(9) + b

12 = 36 + b

b = -24

The equation will be y= 4x -24.

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Answer: x=2

57+x=25x

subtract x from both sides

57+x-x=25x-x

57=24x

divide by 24 on both sides

57÷24=24x÷24

x=2.375

I hope this is good enough:

The sum of the interior angle of a triangle is equal to the exterior. . The value of x from the given figure is 3

The sum of the interior angle of a triangle is equal to the exterior. According to the given figure;

25x + 57 +x = 45x

26x + 57 = 45x

Subtract 57 from both sides

26x -45x = -57

-19x = 57

x = 57/19

x = 3

Hence the value of x from the given figure is 3

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The equation that passes through the points (6, 3) and is parallel to the line x + 3y = 24 is [y = -1/3x + 5].

So, the equation will be:

Now, calculate as follows:

The gradient of the line: -1/3

Therefore, the equation that passes through the points (6, 3) and is parallel to the line x + 3y = 24 is [y = -1/3x + 5].

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The probability that a girl is chosen is 1/10 and the probability that a left-handed girl is chosen is 11/20.

Probability may be defined as the possibility of occurrence of an event. Probability of an event can be 0 or 1 but it can never be negative. If probability is 0 then the event will not occur and if probability is 1 then the event will definitely occur. Probability is given by the formula.

Probability = Favorable outcomes/Total number of outcomes.

Here, total number of outcomes = 20.

Now in the first case we need to find probability of picking a girl so favorable outcome is 2.

Probability of picking a girl = 2/20

Probability of picking a girl = 1/10

In the second case we need to find probability of picking a left-handed girl, so the favorable outcomes are 2 + 9 = 11 as total number of girls are 2 and total number of left-handed people are 9.

Probability of picking left-handed girl = 9 + 2/20

Probability of picking left-handed girl = 11/20

Thus, probability that a girl is chosen is 1/10 and the probability that a left-handed girl is chosen is 11/20.

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Answer:

A

Step-by-step explanation: