unknown Population mean practice
Standard Deviation = 5000
Sample # (n) = 80
Sample mean=58,800.
Confidence interval = 98% -
Construct a 98% confidence interval For the unknown population mean Salary Of PPCC associates in education gradudtes
288,000 = underachievement

Step-by-step explanation:

PV=hRT

(divide both sides by hT, this is to make R the subject of the formula)

R = PV/hT

Answer:

False

Step-by-step explanation:

30 is divisible by 3 yet it is not an odd number, which means that this statement is false.

6 pb   ...........15 min

10 pb .................n min

6 x n = 10 x 15

n = 150 : 6

n = 25

25 minutes for 10 problems (pb)

Answer:

Correct. 16 when 4x4=16 or just count the inside.

Step-by-step explanation:

Given:

Total number of friends = 5

Total cost of all five meals = $51.94

Sales tax = 6%

To find:

The cost of one meal before tax was added.

Solution:

Let x be the cost of all five meals before tax.

Then, Amount of tax = 6% of x

According to he question,

\(x+\dfrac{6}{100}x=51.94\)

\(x+0.06x=51.94\)

\(1.06x=51.94\)

Divide both sides by 51.94.

\(x=\dfrac{51.94}{1.06}\)

\(x=49\)

So, the cost of all five meals before tax is $49.

Divide this cost by 5 to get the cost of one meal before tax was added.

\(\dfrac{49}{5}=9.8\)

Therefore, the cost of one meal before tax was added, is $9.8.

The probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.

The mean weight of the babies (μ) = 3685 grams.

The variance (σ²) = 330625.

Therefore, the standard deviation (σ) = √330625 = 575.

The sample size (n) = 113.

The sample mean = μ - 3685 grams.

The sample standard deviation (s) = σ/√n = 575/√113 = 54.09145.

We are asked to find the probability that the mean weight of the sample babies is less than 3631 grams, that is,

P(X < 3631)  = P(Z < {(3631 - 3685)/54.09145})

Using the formula: Z = (x - μ)/s,

or, P(Z < -0.9983) = 0.1591 or 15.91%.

From the table of area under the z-score.

P(X < 3631) can also be calculated using calculator function:

Normalcdf(-100000000,3631,3685,54.0195), which gives the value 0.1591 or 15.91%.

Thus, the probability that the mean weight of the sample babies would be less than 3631 grams is 0.1591 or 15.91%.

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Answer:

the part of the male private part that produces sperm is the testicles

Edit:
i just realized i answered the wrong question

The lines which are parallel are none.

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

Given;

Coordinates of three lines

a;(1,5) and (-2,-4)

b;(3,2) and (1,-4)

c;(6,1) and (-4,2)

Now, slopes of the lines

a= -4-5/-2-1

=10/3

b=-4-2/1-3

=-3

c=2-1/-4-6

=1/-10

Therefore, by slopes of the line none of them are parallel.

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The box requires a minimum of 4032 square inches of material.

Let's assume that the square base of the box has side length 'x', and the height of the box is 'h'. Then the volume of the box is

V = x^2 × h = 6912

We need to find the dimensions of the box that require the least amount of material. This means we need to minimize the surface area of the box. The surface area of the box is given by

S = x^2 + 4xh

We can solve for 'h' in terms of 'x' using the volume equation

h = 6912 / x^2

Substituting this expression for 'h' into the surface area equation, we get

S = x^2 + 4x(6912/x^2)

Simplifying and taking the derivative of 'S' with respect to 'x', we get

dS/dx = 2x - 27744/x^3

Setting this derivative equal to zero to find the critical points

2x - 27744/x^3 = 0

Multiplying both sides by x^3 and solving for 'x', we get

x = (27744/2)^(1/4) = 18

To confirm that this is a minimum, we need to check the second derivative of 'S' with respect to 'x'

d^2S/dx^2 = 2 + 83208/x^4

At x = 18, we have

d^2S/dx^2 = 2 + 83208/18^4 > 0

Therefore, the critical point at x = 18 corresponds to a minimum surface area.

So the dimensions of the box with the least amount of material are

The side length of the base is 18 inches, and

The height of the box is h = 6912 / 18^2 = 32 inches.

The minimum amount of material required is the surface area of the box, which is

S = 18^2 + 4(18)(32) = 1728 + 2304 = 4032 in^2.

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The number of customers that were served per hour at this restaurant is 60 customers per hour

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the initial value of y.

600 customers were served during a 10-hour period of time. Hence:

slope = 600 customers / 10 hours = 60 customers per hour.

The number of customers that were served per hour at this restaurant is 60 customers per hour

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The proportional relationship that represents the situation is:

y = 60x.

The graph is given at the end of the answer.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

\(y = kx\)

In which k is the constant of proportionality.

In this problem, 600 customers were served during a 10-hour period of time, hence:

k = 600/10 = 60.

And the equation is:

\(y = 60x, 0 \leq x \leq 10\)

The graph is sketched at the end of this answer.

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Answer:

Irrational number

Real Number

Answer:

y=2x+4

Step-by-step explanation:

If the line has a slope of two, that means it goes up 2 on the y axis for every 1 on the x axis. So, if it goes through (1,6), then you can subtract 1 from the x axis and two from the y axis to find the y intercept, (0,4).

Answer: 280 cookies

Step-by-step explanation:

If each person receives the same amount, each person at Hugo's party will get 0.5 cups, or 1/2 cup, of fruit sorbet.

To determine how many cups of fruit sorbet each person will get, we need to convert the volume of the sorbet from gallons to cups, and then divide by the number of people who will be served.

Since 1 gallon is equal to 16 cups, we can multiply the number of gallons by 16 to get the total number of cups of sorbet. In this case, 1 gallon x 16 cups/gallon = 16 cups of fruit sorbet.

To find out how many cups of sorbet each person will get, we simply divide the total number of cups by the number of people. In this case, 16 cups ÷ 32 people = 0.5 cups/person.

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Answer:

d = 24.

Step-by-step explanation:

There are 5x6=30 one-to-one functions from a set containing 5 elements to a set containing 6 elements.

A one-to-one (or injective) function is a type of mathematical function that maps each element of one set to one, and only one, element of another set. In other words, a one-to-one function is a function that has a unique output for each input. To calculate the number of one-to-one functions from a set containing 5 elements to a set containing 6 elements, we can use the formula f(x)=y, where x is the number of elements in the original set and y is the number of elements in the target set. In this case, x = 5 and y = 6, so f(x) = 6. Since each element in the original set must be mapped to a unique element in the target set, the total number of one-to-one functions is equal to the product of x and y, or 5 x 6 = 30.

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We can expect the mean length of ears in the next generation to be 31.6 cm.

It is given that the narrow sense heritability (h2) is 0.70, which means that 70% of the total variation in maize ear length is due to genetic factors.

Let the mean length of ears in the original population be µ and the mean length of ears in the selected plant be x. Then, we can use the formula for response to selection to find the expected mean length of ears in the next generation:

x' = µ + h2 * (x - µ)

Substituting the given values, we get:

x' = 28 + 0.70 * (34 - 28) = 31.6 cm

Therefore, we can expect the mean length of ears in the next generation to be 31.6 cm.

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Answer:

It is 19

Step-by-step explanation:

Hope this helps.

Number of ways to select 8 countries from the United Nations is 48,054,722,400

To solve this problem, we need to use the combination method, which states that if there are m ways to perform one task and n ways to perform another task after the first task is completed, then there are m x n ways to perform both tasks in sequence.

Using this principle, we can break down the selection of 8 countries into three separate tasks

Selecting 3 countries from a block of 52: There are 52C3 ways to do this, where 52C3 is the binomial coefficient "52 choose 3," which can be calculated as follows

52C3 = (52 x 51 x 50) / (3 x 2 x 1) = 22,100

Selecting 2 countries from a block of 64: There are 64C2 ways to do this, where 64C2 is the binomial coefficient "64 choose 2," which can be calculated as follows

64C2 = (64 x 63) / (2 x 1) = 2,016

Selecting 3 countries from a block of 73: There are 73C3 ways to do this, where 73C3 is the binomial coefficient "73 choose 3," which can be calculated as follows

73C3 = (73 x 72 x 71) / (3 x 2 x 1) = 1,082,790

To find the total number of ways to select 8 countries, we simply multiply these three quantities together

22,100 x 2,016 x 1,082,790 = 48,054,722,400

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The function which is used to represent the graphed geometric sequence is

\(f(x) = 80{( \frac{1}{4}) }^{x - 1} \)

Let a be first term and r common ratio of the Geometric progression.

The Geometric sequence is of the form a,ar,ar^2, ...

The common ratio will be ar/a.

From the graph, we can find out the sequence as 80,20,5, ...

Here we can see that the sequence is in Geometric Progression.

First term a=80

Common ratio r= ar/a

= 20/80

=1/4

General term of Geometric sequence is

\(f(x) = a {r}^{x - 1} \)

Substituting the value a = 80 and r = 1/4,

we get,

\(f(x) =80 { (\frac{1}{4} )}^{x - 1} \)

Hence, the correct answer is

\(f(x) =80 { (\frac{1}{4} )}^{x - 1} \)

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According to the graph, it can be inferred that the average height of the students is 63 inches.

To find the height of the seventh grade soccer players we must analyze the graph. In this case we have a height range from 60 inches to 65 inches. However, we do not know what the individual heights of each of the players are.

In the graph, an intermediate line is also shown in the height segment that signifies the average height of soccer players. In this case it would be 63 inches. Based on the above, the average height would be 63 inches.

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Answer:

0.36<0.4

Step-by-step explanation:

Answer:

0.36<0.4

Step-by-step explanation:

the area the arrow swallows is the bigger number so

fore example

0.4 is greater then 0.36 so it would be 0.36<0.4 because the area of the arrow eats or swallows the bigger number

Answer:

1840

Step-by-step explanation:

Answer:

2160

to solve this

(3*10-7) * (8*10)

(30 - 7) * (80)

27 * 80

= 2160

The probability that the sample will contain more than 5% defective units is approximately 0.9525 or 95.25%.

To solve this problem, we can use the binomial distribution formula:

P(X > 5) = 1 - P(X ≤ 5)

where X is the number of defective items in a sample of size n = 100, and p = 0.1 is the probability of an item being defective.

To calculate P(X ≤ 5), we can use the binomial cumulative distribution function (CDF) or a binomial probability table. Alternatively, we can use a normal approximation to the binomial distribution, which is valid when np ≥ 10 and n(1-p) ≥ 10, as is the case here (np = 10 and n(1-p) = 90).

Using the normal approximation, we can standardize the distribution of X as follows:

\(z = (X - np) / \sqrt{(np(1-p))}\)

Then, we can use a standard normal table or calculator to find the probability of z ≤ z0, where z0 is the standardized value corresponding to X = 5.

Let's use the normal approximation method to solve the problem:

np = 100 x 0.1 = 10

σ = \(\sqrt{(np(1-p))} = \sqrt{(9)} = 3\)

z0 = (5 - 10) / 3 = -1.67 (rounded to two decimal places)

Using a standard normal table or calculator, we find that P(Z ≤ -1.67) = 0.0475 (rounded to four decimal places).

Therefore, P(X > 5) = 1 - P(X ≤ 5) = 1 - 0.0475 = 0.9525 (rounded to four decimal places).

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Given that Ben bowled 134 and 213 at his first two games.

Let Ben bowled x in his third game, then the average of his three bowling would be

If Ben has an average of at least 160, then the value of x is as calculated below:

Hence, Ben must bowl at least 133 to have an average of at least 160

If G increases by 50, the equilibrium output Y* will increase by 250.

To determine the increase in Y* (equilibrium output) when G (government spending) increases by 50, we need to consider the multiplier effect. The multiplier measures the change in output resulting from a change in autonomous spending.

The formula for the multiplier is given by:

Multiplier = 1 / (1 - MPC)

where MPC is the marginal propensity to consume.

In this case, the MPC is given as 0.8. Therefore, the multiplier is:

Multiplier = 1 / (1 - 0.8) = 1 / 0.2 = 5

Now, we can calculate the change in output (ΔY) using the multiplier:

ΔY = Multiplier * ΔG

Given that ΔG (change in government spending) is 50, we can substitute these values into the equation:

ΔY = 5 * 50 = 250

Therefore, if G increases by 50, the equilibrium output Y* will increase by 250.

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Answer:

Step-by-step explanation:

Answer:

1/12 for each person

Step-by-step explanation:

draw a cake then cut it in half then make sure each side has six

then count all the total then each person gets 1  piece of the cake

Answer:

43.3 m²

Explanation:

The surface area of the pyramid can be calculated as 4 times the area of one face.

So, the area of one face is equal to:

Where b is the base of the triangles and h is the height. So, replacing b by 5 m and h by 4.33 m, we get:

So, the surface area is equal to:

Therefore, the answer is 43.3 m²

For some values, such as the speed of light or the separation between the Earth and the sun, scientists and mathematicians long ago realized they needed a simpler way to write and refer to these large numbers.

They developed/created scientific notation at that time.

For us to estimate the order of magnitude:

Firstly, write the number in scientific notation.

Secondly, Round up to the nearest integer times a power of ten or power of ten.

Thirdly, Apply these estimates to your calculations.

Fourthly, If possible, compare the result to the exact one.

Example question, How many orders of magnitude are there in one million, for instance?

Answer will be, In order to represent the number 1,000,000, we will move the decimal to the left, stopping just before the first digit. The order of magnitude is determined by the quantity of left moves you make. Since we moved it six times, there are six orders of magnitude between ten and one million, which means that ten times six is equal to one million.

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