The dot plot represents a sampling of ACT scores.
which box plot represents the dot plot data?​

Standard Deviation statistic of the sampling distribution is used in calculating the margin of error for a confidence interval of the population mean.

Basically, the margin of error is stated as follows:

Error margin, E = Z* (Standard deviation)

Therefore, the calculation of the margin of error does not employ the mean at all.

The margin of error is computed using the standard deviation.

The term "standard deviation" reveals that a measurement of the data's dispersion from the mean. While a high standard deviation indicates that the data are more spread or dispersed, a low standard deviation suggests that the data are clustered or gathered around the mean.

It depicts the average deviation of each score from the mean. A high standard deviation in a normal distribution denotes that values are often far from the mean, while a low standard deviation denotes that values are grouped together around the mean.

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Answer:

CP = 4500

SP = 5400

Loss = -900

Profit % = 20%

Step-by-step explanation:

CP = cost price

SP = sale price

CP = purchase price + overhead

     = 3700 + 800

     = 4500

SP = cost price + profit

     = 4500 + 900

     = 5400

Loss = CP - SP

        = 4500 - 5400

        = -900

Profit % = (profit ÷ cost price) × 100%

             = (900 ÷ 4500) × 100%

             = 20%

The value of the linear equation after adding is -5x -8y = -5.

According to the statement

We have to find that the value of the linear equation.

So, For this purpose, we know that the

The linear equation, statement that a first-degree polynomial—that is, the sum of a set of terms, each of which is the product of a constant and the first power of a variable—is equal to a constant.

From the given information:

The given equations are:

4x-4y = -2

-9x-4y = -3.

Then

Now, add these equations then

4x-4y = -2 + -9x-4y = -3.

4x-9x-4y-4y = -2-3

-5x -8y = -5

After addition ,the value becomes -5x -8y = -5.

So, The value of the linear equation after adding is -5x -8y = -5.

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Step-by-step explanation:

y+x(x-y)-5

substitute: -7+3(3+7)-5

-7+3(10)-5

-7+30-5

22

If this isn't correct, then use distributive property on 3(3+7)

If so then it would be -7+9+21-5

It would be the same answer, just a different way of finishing it

\(\huge\text{Hey there!}\)

\(\large\textsf{y + x(x - y) - 5}\)

\(\large\textsf{= 3 + (-7)(3 - (-7)) - 5}\)

\(\large\textsf{= 3 - 7(3 - (-7)) - 5}\)

\(\large\textsf{= 3 + (-7)(10) - 5}\)

\(\large\textsf{= 3 - 7(10) - 5}\)

\(\large\textsf{= 3 - 70 - 5}\)

\(\large\textsf{= -67 - 5}\)

\(\large\textsf{= -72}}\)

\(\huge\boxed{\textsf{Therefore, your answer is: \boxed{\mathsf{-72}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

~\(\frak{Amphitrite1040:)}\)

Answer:

D

Step-by-step explanation:

Answer:

729 cubic meters

Step-by-step explanation:

Volume of cube is given by side^3

where side is length of the side

Given in the problem

side is 9 meters as length, width, and height of fort is 9 meters and it is in cube shape .

Thus,

volume of cube = 9^3 = 9*9*9 = 729

Thus, volume of Haley's fort is 729 cubic meters.

So to calculate 5 with an exponent of 3, you can write 5, 3 times with a multiplication symbol between them like so: 5 · 5 · 5 When we multiply them together, we get the answer to 5 with an exponent of 3.

Answer:

1170

Step-by-step explanation:P_0=860

P

0

​

=860

The initial population

t=4

t=4

Time elapsed

d=9

d=9

The doubling time

P_t = P_0\cdot 2^{\frac{t}{d}}

P

t

​

=P

0

​

⋅2

d

t

​

P_t=860\cdot 2^\frac{4}{9}

P

t

​

=860⋅2

9

4

​

Plug in

P_t=1170.2794\approx1170

P

t

​

=1170.2794≈1170

The type II error occurs in the example.

According to the given conditions, the null thesis( H0) is that the food is safe, while the alternative thesis( Ha) is that the food isn't safe. The food inspectors are trying to test this thesis by examining samples of the food product and looking for any signs that it may be unsafe.

A type II error occurs when the examination process fails to descry an unsafe condition in the food product, indeed though it actually exists. In other words, the sample data suggests that the food is safe, but it's not. This means that the null thesis( H0) is accepted when it should have been rejected in favor of the alternative thesis( Ha).

In practical terms, a type II error in this environment could be dangerous, as it could affect unsafe food being distributed to consumers, potentially leading to illness or indeed death. thus, it's important for food inspectors to minimize the threat of type II crimes by using applicable slice styles and testing procedures to ensure the safety of the food products they check.

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Answer:

B. 36

Step-by-step explanation:

The equation in question is not well written. Let the equation be;

x²+12x+5 = 0

In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;

Coefficient of x = 12

Half of 12 = 1/2(12) = 6

Square of 6 = 6² = 36

Hence the required number to add to both sides of the equation by completing the square method is 36

\(\huge\text{Hey there!}\)

\(\huge\textsf{This equation/question should be easy to}\\\\\huge\textsf{to solve for because, we have everything you}\\\\\huge\textsf{you will need on your graph and somewhat in}\\\\\huge\textsf{the question because it already gave you the}\\\\\huge\boxed{\mathsf{x-intercept}}\huge\textsf{.}\)
\(\mathsf{y = |x| - 2}\)

\(\mathsf{y = |0| - 2}\)

\(\mathsf{y = 0 - 2}\)

\(\mathsf{y = -2}\)
\(\huge\textsf{Therefore, your answer should be: }\)

\(\huge\boxed{\mathsf{y= }\frak{\ -2} \ \rm{(Option\ D.)}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

The value of y when x = 0 is -2 and -2 is the y-intercept of the mod function option (D) -2 is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The mod function:

y = |x| - 2

The graph of the mod function is shown in the picture.

As we know when x = 0 the graph crosses the y-axis and it is known as y-intercept,

Plug x = 0 in the above equation:

y = |0| - 2

y = -2

Thus, the value of y when x = 0 is -2 and -2 is the y-intercept of the mod function option (D) -2 is correct.

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8/-1=-1/-1

=-8

the answer is -8

Answer:

so when factorising, you first remove the common factors. in this case it is (x+3)

so what is remaining is the x and 4

you group that together.

my teacher explained that when factorising, after removing the common factor then you divide each term by the common factor, and then group the answers to that in brackets.

so it will be,

\(x(x + 3) + 4(x + 3) \\ (x + 3)( \frac{x(x + 3)}{x + 3} + \frac{4(x + 3)}{(x + 3)} \)

so basically whats left after dividing, is x and 4 because the x+3 cancel off.

and thats how you get the answer of

(x+3)(x+4)

hope this helps;)

Answer:

a number squared plus twice a number minus one equals zero

Step-by-step explanation:

As per the mathematical operation both Jillian and Samuel are correct.

Given expression = 30+40+70,

The methodology by Jillian = added 30 and 40 and then 70

The methodology by Samuel = added 30 and 70 and then 40.

Determining the result of the given equation:

30 + 40 + 70

= 140

Reviewing the operations of both Jillian and Samuel

Jillian

He added 30 and 40 and then 70:

30 + 40 = 70

70 + 70 = 140

Samuel

He added 30 and 70 and then 40

30 + 70 = 100

100 + 40 = 140

The result of both mathematical operations is 140. Thus, it can be stated that both are correct.

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The firm 4's efficient scale occurs at 4

In this question, we have been given a table of long-run total cost and the quantity.

We need to find the quantity at which the firm 4's efficient scale occurs.

We know that the efficient scale occurs at the quantity of output where average total cost is minimum.

For the firm 4 the average total cost would be,

(210 + 340 + 490 + 660 + 850 + 1060 + 1290) / 7

= 4900 / 7

= 700

This value is clsoe to 660.

Therefore, the firm 4's efficient scale occurs at quantity 4.

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Given question is incomplete.

Answer:

Step-by-step explanation:

I had this exact question and I figured it out.

the answer is: P(police officer and chooses car)

In order to get this answer I did the P(police officer) X P(choosing car)

It ended up being 36/45 X 15/45. Which is equal to around .2666667.

Now you take the Intersection of police officer and chooses car and you divide it by 45. That value on the chart is 12.

lucky enough, the product of 36/45 and 15/45 is equal to 12/45.

So 0.8 X 0.33 = .26

.26 = .26

Answer:

answer is P(police officer and chooses car)

Step-by-step explanation:

the probability of P(policer officer) and P(choose a car) are independent probabilities ( they are not overlapping probabilities)

The p-value is .11 and the significance level is .05, then we fail to reject the null hypothesis.

The p-value represents the probability of obtaining the observed results, or results more extreme, assuming the null hypothesis is true. In this case, the p-value is greater than the significance level, which means that the observed results are not significant enough to reject the null hypothesis.
With a p-value of .11 and a significance level of .05, we can conclude that there is not enough evidence to reject the null hypothesis.
When comparing the p-value to the significance level (0.05), if the p-value is less than or equal to the significance level, you would reject the null hypothesis, indicating that there is a significant effect or difference.

If the p-value is greater than the significance level, you would fail to reject the null hypothesis, meaning that you cannot conclude that there is a significant effect or difference.

Hence, the p-value (0.11) is greater than the significance level (0.05), you fail to reject the null hypothesis, which means you cannot conclude that there is a significant effect or difference.

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The quadratic equation that would correctly represent the situation is  2x^2 + 2x - 24 = 0

We know that the quadratic equation can be obtained if we look at the Pythagoras theorem. From the Pythagoras theorem we have the following;

c^2 = a^2 + b^2

Let the hypotenuse be c and the longer side x + 1

We now have;

5^2 = x^2 + (x+ 1)^2

5^2 = x^2 + x^2 + 2x + 1

25 = 2x^2 + 2x + 1

2x^2 + 2x - 24 = 0

The equation is thus;  2x^2 + 2x - 24 = 0

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Answer:

I do not understand what to do

Step-by-step explanation:

Answer:

Step-by-step explanation:

85/1000 because we said that 1 meter = 1000 mililiters

Divide both sides by 5 and then you have 17/200

then divide both sides by 2 (to get it over 100) =

8.5/100

.085%

Hope that helps!!

You could also just do 85/1000 you would get the same answer!!

Answer:

P=60

Step-by-step explanation:

P=2(l+w)

P=2(14+16)

P=2(30)

P=60

Perimeter of a rectangle with 16in length and 14in width is 60 in.

Perimeter of a rectangle = 2(l+b)

here l = length and b= width

Given : l= 16 in and b= 14 in

perimeter = 2(l+b)

= 2(16+14)

= 2(30)

=60 inches.

The perimeter of rectangle is 60 inches

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Answer:it’s c

Step-by-step explanation:

Because it’s 146%

To calculate the probability that the sum of the numbers on the cubes is a prime number given that the number on the first cube is even, we need to determine the number of favorable outcomes (sum of numbers is a prime number) and the total number of possible outcomes.

Let's consider the possible outcomes when rolling two six-sided number cubes. Since the number on the first cube is even, the possible outcomes for the first cube are 2, 4, or 6. For each of these outcomes, we need to determine the number of possible outcomes for the second cube that would result in a prime sum.

If the first cube shows 2, the second cube must show 2, 3, 5, or 7 to have a prime sum (2 + 2, 2 + 3, 2 + 5, 2 + 7). So, there are 4 favorable outcomes for the sum to be prime when the first cube shows 2.

If the first cube shows 4, the second cube must show 1, 3, 5, 7, or 9 to have a prime sum (4 + 1, 4 + 3, 4 + 5, 4 + 7, 4 + 9). There are 5 favorable outcomes in this case.

If the first cube shows 6, the second cube must show 1, 5, or 7 to have a prime sum (6 + 1, 6 + 5, 6 + 7). So, there are 3 favorable outcomes for the sum to be prime when the first cube shows 6.

In total, there are 4 + 5 + 3 = 12 favorable outcomes.

The total number of possible outcomes is 3 (for the first cube) multiplied by 6 (for the second cube), which gives us 18 possible outcomes.

Therefore, the probability is 12/18 = 2/3 ≈ 0.67 (rounded to the nearest hundredth).

None of the answer choices provided match the calculated probability.

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Answer:

12

Step-by-step explanation:

Hope This Helps!

Given:

Correct answer is

Final options are:

The first term should be positive.

She did not distribute the -4 properly.

Answer: x < 4

Step-by-step explanation: You are trying to isolate the variable, x, so you have to subtract 1 on both sides of the inequality. Then, you are left with x < 4.

Using the formula of combination, a committee of six can be chosen in 336 ways from a group of eleven if Barry and Harry refuse to serve together on the same committee

1. First, find the total number of ways to select six people from eleven without considering the restriction using the combination formula:
C(n, r) = n! / [r!(n-r)!],

where n is the total number of people, and r is the number of people to be selected.

In this case, n = 11 and r = 6. So the total number of ways without considering the restriction is:
C(11, 6) = 11! / [6!(11-6)!] = 11! / [6! * 5!] = 462 ways.

2. Now, consider Barry and Harry as a single unit, and we have 10 units in total (9 remaining people + 1 unit of Barry and Harry). We need to choose 4 more people from the remaining 9. So the number of ways is:
C(9, 4) = 9! / [4!(9-4)!] = 9! / [4! * 5!] = 126 ways.

3. Finally, apply the subtraction principle to exclude the cases where Barry and Harry are together. The total number of ways to form a committee of six, considering the restriction, is:
Total ways - Ways with Barry and Harry together = 462 - 126 = 336 ways.

So, in 336 ways, a committee of six can be chosen from a group of eleven if Barry and Harry refuse to serve together on the same committee.

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