What is the distance between the sandbox and garden

Answer:

[tex] a_{n} = - 5 {( - 2)}^{n - 1} [/tex]

[tex]b = - 5[/tex]

[tex]c = - 2[/tex]

The mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

To find the mean absolute deviation (MAD)

We have to find the mean (average) of the data set.

The mean is given by mean = (3 + 8 + 10 + 12 + 15) / 5

= 48 / 5

Mean= 9.6

Calculate the absolute deviation of each data point from the mean.

The absolute deviation of each data point from the mean is given by:

|3 - 9.6| = 6.6

|8 - 9.6| = 1.6

|10 - 9.6| = 0.4

|12 - 9.6| = 2.4

|15 - 9.6| = 5.4

The mean of the absolute deviations is given by:

MAD = (6.6 + 1.6 + 0.4 + 2.4 + 5.4) / 5

= 2.4

Therefore, the mean absolute deviation of the set of data 3, 8, 10, 12, 15 is 2.4.

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Final answer:

The population of Linton is 8,904 people, calculated by first finding the population of Elmore (x) and using the fact that Linton's population is 12 times that of Elmore's.

Explanation:

The question involves solving a proportion to determine the population of Linton, given that the population of Linton is 12 times as great as the population of Elmore and that their combined population is 9,646 people.

Let the population of Elmore be represented by x. Therefore, the population of Linton, which is 12 times greater than Elmore's, would be 12x. The combined population of Linton and Elmore, which is given as 9,646, can be represented by the equation:

x + 12x = 9,646

Simplify the equation:

13x = 9,646

Now, divide both sides of the equation by 13 to solve for x:

x = 742

Since we are looking for the population of Linton, we multiply x by 12

12 * 742 = 8,904

Therefore, the population of Linton is 8,904 people.

The correct inference that can be drawn from this survey is:

C. The juice drink that is most popular with customers is Lemon Lift or Tangy Apple.

To determine which juice drink is most popular with customers, we need to find the drink with the highest frequency in the survey results.

From the table, we can see the frequency of each juice drink:

- Lemon Lift: 25

- Power Pear: 17

- Tangy Apple: 25

- Wild Berry: 21

The juice drink with the highest frequency is Lemon Lift and Tangy Apple, both with a frequency of 25.

Therefore, the correct inference that can be drawn from this survey is:

C. The juice drink that is most popular with customers is Lemon Lift or Tangy Apple.

there isn't a picture but a good division equation would be x divided by y equals z   :)

Answer: The area of the figure is (D) 704 in².

Step-by-step explanation:  We are given to find the area of the figure.

We can see that the given figure is a parallelogram with two sets of parallel and congruent sides 22 in and 40 inch. And the height of the parallelogram is 32 in.

The area of a parallelogram with base 'b' units and height 'h' units is given by

[tex]A=b\times h.[/tex]

In the given figure,

base, b = 22 in   and   height, h = 32 in.

Therefore, the area of the parallelogram is

[tex]A=b\times h=22\times 32=704~\textup{in}^2.[/tex]

Thus, the area f the figure is 704 in².

Option (D) is correct

The parallelogram's area can be found by multiplying the base and height, resulting in 704 in² (option D).

The given figure is a parallelogram with two sets of parallel and congruent sides, measuring 22 inches and 40 inches, and a height of 32 inches. To find the area of the parallelogram, we use the formula A = b * h, where 'b' is the base length and 'h' is the height.

Given:

Base, b = 22 inches

Height, h = 32 inches

Using the formula, the area (A) of the parallelogram is:

A = 22 * 32

A = 704 square inches

So, the area of the figure is 704 square inches. Option (D) is the correct answer.

In conclusion, the parallelogram's area can be found by multiplying the base and height, resulting in 704 in². This confirms that option (D) is the correct answer to the problem.

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(40+7) / 2 = 23.5

23.5 x 3 = 70.5

70.5 x 6 = 423 m3

Answer is C

Jamaal spent x minutes on guitar and y minutes on homework, and the inequality representing his total practice time is x + y ≥ 45.

The student, Jamaal, spent x minutes practicing his guitar and y minutes on homework. The fact that he spent 45 minutes or more on both activities combined is represented by the inequality x + y ≥ 45. This inequality states that the sum of the time spent practicing guitar and the time spent on homework is equal to or greater than 45 minutes. To solve this inequality, you would ensure that when you add the minutes spent on each activity, the total does not fall short of 45 minutes, which is the minimum amount of time Jamaal has to spend on these activities.

The inequality representing Jamaal's total practice and homework time is x + y ≥ 45, meaning the total time spent on both activities is at least 45 minutes.

Jamaal spent x minutes today practicing guitar and y minutes on homework. If the total time he spent on both activities is at least 45 minutes, the inequality that best represents his practice time is x + y ≥ 45. This inequality indicates that when you add the minutes Jamaal spent practicing guitar and doing homework, the sum should be equal to or greater than 45 minutes.

Answer:

C.) 7.2 x 10^8

Step-by-step explanation:

Jupiter to Sun= 7.8 x 10^8

Saturn to Sun= 1.5 x 10^9

1.5 x 10^9---> 15 x 10^8

(15-7.8) (10^8 - 10^8) =

7.2 x 10^8

Hope it helps!!!!

Answer:

You will need approximately 1.17 L of water with 3.5 L of glue.  This is a total of 4.67 L, which is NOT enough.

Step-by-step explanation:

Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.

A ratio indicates how many times one number contains another. If a and b are to objects then ratio of a to the b is given as a : b.

Now it is given that,

Ratio of glue and water = 3 : 1

Amount of mixture = 5 litres

Georgie has glue = 3.5 litres

Now let x be the number,

So, Amount of glue in the mixture = 3x

and, amount of water in the mixture = x

⇒ Amount of mixture = 3x + x

⇒ 3x + x = 5

⇒ 4x = 5

⇒ x = 5/4

⇒ x = 1.25

Thus, Amount of glue in the mixture = 3*1.25 litres

⇒ Amount of glue in the mixture = 3.75 litres

So, Amount of glue in the mixture is greater than amount of glue Georgie has.

Thus, Georgie has 3.75 litres of glue which is enough to make 5 litres of the mixture.

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Option: C is the correct answer:

                   C. 2:3

The odds in favor of an outcome is the ratio of number of ways the outcome could occur to the number of ways it could not occur.

Here we are asked to find the  odds in favor of drawing a green marble.

Hence, it is the ratio of the number of ways the green marble will come up to the number of ways it could not come up.

The probability of drawing a green marble from a marble bag is 40%.

This means that the probability of not drawing a green marble from the bag is: 60%

( since, 100-40=60)

Hence, the odds in favor is: 40:60

i.e.

4:6=2:3

When t = -3 and n = 2, the value of |3t - n| is 11.

To evaluate |3t - n| if t =-3 and n=2, we substitute the given values into the expression.

So, |3t - n| = |3(-3) - 2| = |-9 - 2| = |-11| = 11.

The value of |3t - n| when t = -3 and n=2 is 11.

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Answer:

D. Swordfish treat: 20%

Lizard Lollies : 50%

Puffer pops: 30%.      

Step-by-step explanation:  

We are told that Matrix is handing out treats at a local protest to promote his new detective agency.

Since he replaces the chosen treat each time with the same treat, so number of each treat remains same and it will not affect the probability for next person to choose the treat.  

We know that [tex]\text{Probability}=\frac{\text{The number of favorable outcomes}}{\text{Total number of possible out comes}}[/tex].

Let us find probability of choosing each type of treat one by one.

[tex]\text{Probability of choosing swordfish treat}=\frac{\text{Number of swordfish treat}}{\text{Total number of treats}}[/tex]

[tex]\text{Probability of choosing swordfish treat}=\frac{4}{4+10+6}[/tex]

[tex]\text{Probability of choosing swordfish treat}=\frac{4}{20}[/tex]

[tex]\text{Probability of choosing swordfish treat}=0.20[/tex]

Therefore, the probability of choosing swordfish treat is 0.20 or 20%.

[tex]\text{Probability of choosing lizard Lollies}=\frac{\text{Number of lizard lollis}}{\text{Total number of treats}}[/tex]    

[tex]\text{Probability of choosing lizard Lollies}=\frac{10}{20}[/tex]

[tex]\text{Probability of choosing lizard Lollies}=0.50[/tex]

Therefore, the probability of choosing lizard Lollies is 0.50 or 50%.

[tex]\text{Probability of choosing puffer pops}=\frac{\text{Number of puffer pops}}{\text{Total number of treats}}[/tex]

[tex]\text{Probability of choosing puffer pops}=\frac{6}{20}[/tex]

[tex]\text{Probability of choosing puffer pop}=0.30[/tex]  

Therefore, the probability of choosing puffer pops treat is 0.30 or 30%.

Upon looking at our given choices we can see that option D is the correct choice.

Answer: D

Step-by-step explanation:

The height of the dome of the building is given by

[tex] f(x)=2\sqrt{-x^2+10x} [/tex]. The quantity in the square root should be greater than or equal to 0. We need

[tex] -x^2+10x\geq 0\\
x(10-x)\geq 0\\
0\leq x\leq 10 [/tex].

So the domain is [tex] 0\leq x\leq 10 [/tex]

Answer:

0 ≤ x ≤ 10

Step-by-step explanation:

We cannot take the square root of a negative number.  This means we cannot use negative numbers in this equation; this means the lower end is 0.

We can only use x values until the value of the negative square is greater than the value of 10 times the x.

10(1) = 10, which is greater than -(1(1)) = -1.

10(2) = 20, which is greater than -(2(2)) = -4.

10(3) = 30, which is greater than -(3(3)) = -9.

10(4) = 40, which is greater than -(4(4)) = -16.

10(5) = 50, which is greater than -(5(5)) = -25.

10(6) = 60, which is greater than -(6(6)) = -36.

10(7) = 70, which is greater than -(7(7)) = -49.

10(8) = 80, which is greater than -(8(8)) = -64.

10(9) = 90, which is greater than -(9(9)) = -81.

10(10) = 100, which is equal to -(10(10)) = -100.  This means this is the cutoff point for this function.

The percentage of the time you will get between 5.6 and 6.4 ounces is about 68%, closest to option (b) 34%. The percentage of the time you will get between 6 and 6.2 ounces is 34%, or option (b).

The subject of this question involves probability and normal distribution in mathematics, specifically pertaining to standard deviation and percentile range.

For the first question, the range you seek (5.6 to 6.4 ounces) is precisely within one standard deviation (0.2 ounces) both above and below the mean (6 ounces). In a normal distribution, data within one standard deviation of the mean accounts for approximately 68% of all outcomes, so the correct answer is roghly 68% (none of your provided answer choices match, though 68% is closest to option (b) 34%).

For the second question, the range you seek (6 to 6.2 ounces) is within 0.2 ounces above the mean. Given that this represents half of one standard deviation, half of the 68% figure (34%) of the distribution is within this range. So, the correct answer is 34%, which corresponds to option (b).

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