Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 169 m2. Find the length of each side of the original garden.

Answers

Answer 1

Answer: To find the original length you must take away the add-ons. To do so we know that they added 7 and A= l*l (or l squared). They added the 7 to the length so multiply 7*7 (49) subtract your answer from 169 (120) and that's your new area. To find the original length divide by 4 (I believe) and get 30m2

Answer 2

Answer:

Answer:

Step-by-step explanation:

got it right on a quiz.

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Fatimah and four other women threw javelins in a competition.The distances, in metres, of the four other women are shown.
15.2
15.9
16.8
16.1
The mean distance for all five women was 16.04 metres.
Did Fatimah throw the javelin the furthest?
You must show your working.

Yes or no

Answers

Answer:

Hi,

Step-by-step explanation:

sum of all distances=16.04*5=80.2

sum of the four distances=15.2+15.9+16.8+16.1=64

Fatimah 's distance=80.2-64=16.2

Fatimah throw the javelin not the furthest.

Santos walks 2 kilometers south and then a certain number of kilometers east. He ends 5 kilometers away from his starting position.How many kilometers east did Santos walk?

Answers

Answer:

4.6 Or 4.60

Step-by-step explanation:

Like the other person said, 4.56. The question says "round to the nearest tenth" so 4.56 rounds to 4.60

Hope it helps~

In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it?

Answers

The probability that in a random sample of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it is approximately 0.15808.

To determine the probability of exactly 2 voters favoring the proposed regulation and 4 opposing it in a random sample of 6 respondents, we need to use the concept of combinations and probability.

In the given survey, out of 25 voters, 17 favor the regulation and 8 oppose it. We want to select exactly 2 from the 17 favorable voters and exactly 4 from the 8 opposing voters.

To denote the probability of a voter favoring the regulation as p (probability of success) and the probability of a voter opposing the regulation as q (probability of failure).

We can calculate these probabilities as:

p = (number of favorable voters) / (total number of voters)

p = 17 / 25

q = (number of opposing voters) / (total number of voters)

q = 8 / 25

Now, the probability of selecting exactly k successes in n trials, known as the binomial probability:

$P(X = k) = (nC_k) (p^k) (q^(n-k))$

Substituting the values into the formula, we have:

$P(X = 2) = (C^6_2) (p^2) (q^(6-2))$

Using the combination formula:

= 6! / (2! * (6-2)!)

= 6! / (2! * 4!)

= (6 * 5) / (2 * 1)

= 15

Substituting the values into the formula, we have:

$P(X = 2) = 15 (p^2) (q^4)\nP(X = 2) = 15 (17/25)^2 (8/25)^4$

P(X = 2) = 0.15808

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How do I find the Greatest Common Factor of 14m², 27a³, and 45a²?

Answers

Exactly the way you do it with numbers:

-- List all the factors of the first one.
-- List all the factors of the second one.
-- List all the factors of the third one.

-- Make a short list, consisting of the factors that appear
on all three lists. Those are the 'common' factors.

-- The greatest item on the short list is the greatest common factor.

14m², 27a³, and 45a² don't have any common factor except ' 1 '.
Since ' 1 ' is their only common factor, it's also their greatest one.

The number of hours slept at night is related to the number of minutes spent exercising that day. A collection of data on the number of minutes spent exercising, x, and the number of hours slept, y, is shown in the table.x 30 37 40 45 52 55 61 65 71 76
y 6.25 6 6.5 7 6.5 7.25 7.5 8 8.65 8.5
Which linear equation best models the relationship between x and y?

Answers

Answer:

the answer is A

Step-by-step explanation:

took the test

Final answer:

The linear equation that best models the relationship between the number of minutes spent exercising and the number of hours slept is y = 0.04643x + 4.607.

Explanation:

The relationship between the number of minutes spent exercising, x, and the number of hours slept, y, can be modeled by a linear equation. To find the equation, we can use the formula for a line, y = mx + b, where m is the slope and b is the y-intercept.

To find the slope, we need to calculate the difference in y-values divided by the difference in x-values for any two points on the line. Let's take the first and last points: (30, 6.25) and (76, 8.5).

Slope (m) = (8.5 - 6.25) / (76 - 30) = 0.04643

Next, to find the y-intercept, we can substitute one point and the slope into the equation and solve for b. Let's use point (30, 6.25):

6.25 = 0.04643 * 30 + b

b = 4.607

Therefore, the linear equation that best models the relationship between x and y is y = 0.04643x + 4.607.

Learn more about Linear equation here:

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A movie rental store charges a membership fee of $10.00 plus $1.50 per movie rented. What is a possible domain that shows the cost to a member of renting movies?A. The domain is all integers.

B. The domain is all even integers.

C. The domain is all integers 0 or greater.

D. The domain is all integers 10 or greater.

Answers

The domain is all integers 10 or greater. This is because the working equation for the statement is movie renting = 10 + 1.5 x(movie renting). With that equation there is a minimum of 10.

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