Suppose a random sample of size 52 is selected from a population with = 8. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate).a. The population size is infinite (to 2 decimals).1.109b. The population size is N = 50,000 (to 2 decimals).1.11c. The population size is N = 5000 (to 2 decimals).1.1d. The population size is N = 500 (to 2 decimals).1This is what I have, the first three are correct. D I did the same as b and c but it is coming up wrong. I tried to do it without rounding, also no luck. Is there a special rule with standard error of the mean when it equates to 0 or is my math wrong?

We need to  know about margin of error to solve the problem. The factors that influence margin of error are confidence level and sample size.

Margin of error is a statistic expressing the amount of random sampling error in the results of a survey. The larger the margin of error, the less confidence one should have that a poll result will reflect the result of a census of the entire population. Margin of error is influenced by three factors, confidence level, sample size and population standard deviation. In absence of population standard deviation, the margin of error is influenced by confidence level and sample size.

Therefore the margin of error is influenced by confidence level and sample size.

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Answer:

If you know the area of one triangle, then you can multiply it by 2 to get the area of the parallelogram, because the other triangle is congruent.

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

x = -121

Step-by-step explanation:

(7/2)*x+(1/2)*x = (9/2)*x+121/2 // - (9/2)*x+121/2

(7/2)*x+(1/2)*x-((9/2)*x)-(121/2) = 0

(7/2)*x+(1/2)*x+(-9/2)*x-121/2 = 0

-1/2*x-121/2 = 0 // + 121/2

-1/2*x = 121/2 // : -1/2

x = 121/2/(-1/2)

x = -121

Step-by-step explanation:

as we see in the sequence, each term is twice of the previous term.

we mark the Nth as a(N), then:

a(N)=2a(N-1)

Answer:

\(a_{n}\) = 5\((2)^{n-1}\)

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

10 ÷ 5 = 20 ÷ 10 = 40 ÷ 20 = 80 ÷ 40 = 2

this indicates the sequence is geometric with explicit formula

\(a_{n}\) = a₁\((r)^{n-1}\)

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = 2 , then

\(a_{n}\) = 5 \((2)^{n-1}\)

We can approximate this value using a calculator to get the final answer as: \[\text{Distance}\approx 7.90\] Therefore, the distance between the given points is approximately 7.90 units.

To find the distance between two given points in a coordinate plane, we use the distance formula. This formula is based on the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the two sides are the horizontal and vertical distances between the two points.

We simply substitute the values of the given points in this formula to find the distance between them.In this particular case, we are given two points $t(13,\ 1.6)$ and $v(5.4,\ 3.7)$. We substitute these values in the distance formula and simplify to get the answer. Since the coordinates are given in decimal form, we round off the answer to two decimal places. This gives us an approximate answer of 7.90 units, which is the distance between the given points.

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  3/4÷ 2/3=   3/4*3/2= 9/8= mixed fraction 1  1/8 pounds.

The correct statement regarding whether female and blue are independent events is given as follows:

D) Yes, P(Female ∩ Blue) = P(Female) ⋅ P(Blue)

Two events, A and B are independent, if, and only if, the probability of both events is equals to the multiplication of the probabilities of each event.

\(P(A \cap B) = P(A)P(B)\)

From the table, the probabilities are given as follows:

The multiplication of these probabilities is of:

0.7 x 0.7 = 0.49 = P(Female and Blue).

Hence the events are independent.

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Answer:

They are all acute triangles or iscoles triangles

Step-by-step explanation:

Therefore, the height of the tree is approximately 3.67 meters making triangle.

Let h be the height of the tree. Then, using the properties of similar triangles, we can set up the following proportion:

h / 1.25 = (h + x) / 15.45

where x is the length of Gabriella's shadow. To find x, we can use a similar proportion:

h / 10.2 = 1.25 / x

Solving the second proportion for x, we get:

x = 10.2 * 1.25 / h

Substituting this expression for x into the first proportion, we get:

h / 1.25 = (h + 10.2 * 1.25 / h) / 15.45

Multiplying both sides by 15.45 * h * 1.25, we get:

15.45 * h - 15.45 * 1.25 = h * 10.2

Expanding and rearranging, we get a quadratic equation in h:

15.45h - 19.3125 = 10.2h

5.25h = 19.3125

h = 3.67 meters (rounded to two decimal places)

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The equation 6(x + 5) = 6x + 5 has NS (No Solution) and the equation -4x = 7x - 33 has IM (Infinite Many solutions).

Let us take the given equation

6(x + 5) = 6x + 5

⇒ 6x + 30 = 6x + 5

⇒ 6x - 6x = 5 - 30

⇒ 0 = -25

Hence, the given equation has No Solution (NS)

Let us take the given equation

-4x = 7x - 33

-4x - 7x = -33

-11x = -33

x = 3

Hence, the given equations has Infinite Many solutions (IM)

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Answer:

D

Step-by-step explanation: a cup is 4 quarts

The probability that a randomly selected grapefruit weighs more than 1.25 pounds is approximately 0.019.

To find the probability that a randomly selected grapefruit weighs more than 1.25 pounds, we need to calculate the area under the normal distribution curve to the right of 1.25 pounds.

First, we calculate the z-score using the formula:

z = (x - μ) / σ,

where

x is the value we're interested in,

μ is the mean, and

σ is the standard deviation.

In this case, x = 1.25, μ = 1, and σ = 0.12.

z = (1.25 - 1) / 0.12 = 2.08

Next, we look up the corresponding area under the standard normal distribution curve for a z-score of 2.08. Using a standard normal distribution table or calculator, we find that the area to the right of 2.08 is approximately 0.019.

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The assumptions for the two proportions z-test that would not be a concern, in this case, are random sampling, independence, large sample size, and normality of the sampling distribution.

When comparing two proportions using a z-test, there are several assumptions that need to be met to ensure that the results are valid. In this case, the assumptions that would not be a concern are:

Random sampling: The sample of 50 mushrooms from each company is assumed to be a random sample from the population of mushrooms for each company. This assumption ensures that the sample is representative of the population and that the results can be generalized to the larger population.

Independence: The samples from each company are assumed to be independent of each other. This means that the mushrooms from one company do not influence the mushrooms from the other company in any way. This assumption is necessary for the validity of the z-test.

Large sample size: The sample size of 50 mushrooms from each company is sufficiently large. When the sample size is large, the sample proportion can be used as an estimate of the population proportion, and the sampling distribution can be assumed to be approximately normal. A general rule of thumb is that the sample size should be at least 30.

Normality: The z-test assumes that the sampling distribution of the difference between the two sample proportions is approximately normal. This assumption is valid when the sample size is large, as mentioned above.

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Answer:

7/10 - 3/7 - 1/5

Step-by-step explanation:

3/7-7/10-1/5

Step-by-step explanation:

Answer:

[See Below]

Step-by-step explanation:

✦ First change the improper fractions to decimals:

  ✧ ⁵⁄₄ = 1.25

  ✧ -⁹⁄₅ = -1.8

✦ Then divide:

  ✧ 1.25 ÷ -1.8 = -0.69

So x would be -0.69 in decimal form.

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

Aerobic

Step-by-step explanation:

Oxygen = aerobic

no oxygen = anaerobic

The  true statement based on the box-and whisker plot of 19 people are The median monthly salary is higher than the first quartile, The first quartile is higher than the minimum monthly salary, The third quartile is higher than the median monthly salary, The maximum monthly salary is higher than the third quartile, There are no outliers in the dataset.

A box-and-whisker plot provides a graphical representation of the five-number summary of a dataset: the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value. The box itself represents the middle 50% of the data (between Q1 and Q3), and the whiskers extend to the minimum and maximum values, with any outliers plotted as individual points.

Therefore, some possible statements that could be true based on the box-and-whisker plot of the monthly salaries of the 19 people are:

The first quartile is higher than the minimum monthly salary.

The third quartile is higher than the median monthly salary.

The median monthly salary is higher than the first quartile.

The maximum monthly salary is higher than the third quartile.

There are no outliers in the dataset.

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The scores in the econometrics class were approximately normally distributed in both populations, with unknown but equal variances. A random sample of 23 students from the X population had a mean econometrics score of 80 and a standard deviation of 8.

The study aims to compare the performance of students who took the math course (X population) with those who did not (Y population) in the econometrics class. By selecting random samples from both populations, the researchers can evaluate whether there is a significant difference in their econometrics scores.

The sample of 23 students from the X population had an average econometrics score of 80, with a standard deviation of 8. This information provides an estimate of the mean and variability of the econometrics scores for the X population. However, to draw conclusions about the entire X population, statistical inference techniques can be employed.

A common approach is to conduct a hypothesis test, such as a two-sample t-test, to determine if there is a significant difference in the means of the two populations. The test considers factors like the sample means, sample sizes, and the assumed equal variances of the two populations. The analysis would provide insights into whether the math course in linear algebra has a significant impact on the grades in the econometrics class.

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Answer:

a = 50, b = -5, c = 5

Step-by-step explanation:

All of the boxes have to be equal to 125

box 1,

75 + 50 = 125

box 2,

120 - ( -5 ) = 120 + 5 = 125

box 3

\(5^{3}\) =5 * 5 * 5=  125

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Answer:

all of this box has be equal to 5

Hope this helps

To write the coordinates of a point in a x - y plane you:

1. Find the distance in x-axis:

The given point A is 7 units distance in x-axis

2. Find the distance in y- axis

The given point A is -5 units distance in y-axis

You write the coordinates in form (x,y)

As x=7 and y=-5

Answer: -5,7

Step-by-step explanation:

There are 14 quarters and 25 number of pennies

Two or more expressions with an Equal sign is called as Equation.

Given that some quarters and pennies worth $3.75

0.25x+0.01y=3.75

There are 39 coins altogether

x+y=39

x=39-y

Now plug in x value in 0.25x+0.01y=3.75

0.25(39-y)+0.01y=3.75

9.75-0.25y+0.01y=3.75

9.75-0.24y=3.75

9.75-3.75=0.24y

6=0.24y

Divide both sides by 0.24

25=y

x+y=39

x=14

Hence, there are 14 quarters and 25 number of pennies

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Answer:

7

Step-by-step explanation:

njshhtb jahhhdvjsjjbvgshh shhkakhgsv jjjjgfe

Answer:

C y = 3/4x + 12

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

5(6)(2)-2 =58

5*6=30*2=60-2=58

7^(3/5) * 7^(1/5) is equivalent to (7^3)^(1/5) * (7^1)^(1/5), which is equivalent to 343^(1/5) * 7^(1/5) = 343^(1/5) * (7^(1/5))^1 = 343^(1/5) * 7.

When you see an expression like 7^(3/5) * 7^(1/5), it is helpful to think about the properties of exponents. One property is that when you have the same base raised to different exponents, you can multiply the exponents. So, for example, 7^3 * 7^1 = 7^(3+1) = 7^4.

Another property is that when you have a base raised to a power, and then that result is raised to another power, you can multiply the exponents. So, for example, (7^3)^2 = 7^(3*2) = 7^6.

Using these properties, we can simplify the original expression as follows:
7^(3/5) * 7^(1/5) = (7^3)^(1/5) * (7^1)^(1/5) = 343^(1/5) * 7^(1/5) = 343^(1/5) * (7^(1/5))^1 = 343^(1/5) * 7

So, 7^(3/5) * 7^(1/5) is equivalent to 343^(1/5) * 7

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Answer:

Step-by-step explanation:

Dont do it. Just take the detention

We estimate that the average number of roommates per semester for all students at the local college is 0.7.

The best point estimate for the average number of roommates per semester for all students at the local college would be the sample mean, which is calculated as the sum of the number of roommates for all students in the sample divided by the number of students in the sample.

Using the information given in the problem, we have:

Sample size (n) = 133

Sample mean (\(\bar X\)) = 0.7

Therefore, the best point estimate for the population mean (μ) is the sample mean:

μ ≈ \(\bar X\) = 0.7

So, we estimate that the average number of roommates per semester for all students at the local college is 0.7.

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Answer:

Are people actually expected to do this?

Step-by-step explanation:

Answer:

-2 y^2 + 6 y + 4

Step-by-step explanation: