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3 years ago

If 2 pounds of bananas cost $1.89, what is the cost per pound? Show your work

1 answer:

6 0

You can set up an expression where p = the pounds of bananas.
With that information, 2p =$1.89
To figure out the cost per pound, you want the cost of 1 p. Therefore, you divide both sides by 2.
p = $1.89/2
p = $0.945
(since it is money you normally round to two decimal places so you would say $0.95 or 95 cents)

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What is the area of the polygon below ?

elena55 [62]

It's best to think of oddly shaped polygons as different simple shapes within itself. You can divide them into two rectangles, solve for their areas separately, then add them together. (Halves slip horizontally)

6*11 would be the top half, which equals 66 square units

It is not given the amount of units long the longest side is, but you can figure it out by adding the sides given above. (7, 11, and 6)

5*24 would be the bottom half; 120 square units

Add both areas together to get the overall area of the polygon given

66+120=186

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3 years ago

The smallest of the three circles with center D has a radius

BigorU [14]

Answer:D

Step-by-step explanation:

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4 years ago

Read 2 more answers

Finn changes his mind and, from now on, decides to take the normal route to work everyday. On any given day, the time (in minute

Margaret [11]

Answer:

The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.

There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

Step-by-step explanation:

This can be solved by the the z-score formula:

On a normaly distributed set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a value X is given by:

$Z = \frac{X - \mu}{\sigma}$

Each z-score value has an equivalent p-value, that represents the percentile that the value X is:

The problem states that:

Mean = 35, so $\mu = 35$

Variance = 81. The standard deviation is the square root of the variance, so $\sigma = \sqrt{81} = 9$ .

Find the 33rd percentile of the time it takes Finn to get to work on any given day. Do not include any units in your answer.

Looking at the z-score table, $z = -0.44$ has a pvalue of 0.333. So what is the value of X when $z = -0.44$ .

$Z = \frac{X - \mu}{\sigma}$

$-0.44 = \frac{X - 35}{9}$

$X - 35 = -3.96$

$X = 31.04$

The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.

Over the next 2 days, find the probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

$P = P_{1} + P_{2}$

$P_{1}$ is the probability that Finn took more than 40.5 minutes to get to work on the first day. The first step to solve this problem is finding the z-value of $X = 40.5$ .

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{40.5 - 35}{9}$

$Z = 0.61$

$Z = 0.61$ has a pvalue of 0.7291. This means that the probability that it took LESS than 40.5 minutes for Finn to get to work is 72.91%. The probability that it took more than 40.5 minutes if $P_{1} = 100% - 72.91% = 27.09% = 0.2709$

$P_{2}$ is the probability that Finn took more than 38.5 minutes to get to work on the second day. Sine the probabilities are independent, we can solve it the same way we did for the first day, we find the z-score of

$X = 38.5$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{38.5 - 35}{9}$

$Z = 0.39$

$Z = 0.39$ has a pvalue of 0.6517. This means that the probability that it took LESS than 38.5 minutes for Finn to get to work is 65.17%. The probability that it took more than 38 minutes if $P_{1} = 100% - 65.17% = 34.83% = 0.3483$

So:

$P = P_{1} + P_{2} = 0.2709 + 0.3483 = 0.6192$

There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.

7 0

4 years ago

7,218 round off thousand

GrogVix [38]

<h2>correct answer: 7,000</h2><h2>7,218 rounded to the nearest 1,000 </h2><h2>would be 7,000!</h2>

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3 years ago

Read 2 more answers

What is the solution of 4|x – 9| + 6 > 42?

OlgaM077 [116]

Answer:

Choice B is correct answer.

Step-by-step explanation:

We have given an inequality.

4|x – 9| + 6 > 42

We have to find the solution of given inequality.

Adding -6 to both sides of above inequality, we have

4|x – 9| + 6 -6 > 42-6

4|x – 9| + 0 > 36

4|x – 9| > 36

Dividing above inequality by 4 , we have

4|x – 9| > 36

(4|x – 9|) / 4 > 36 / 4

|x – 9| > 9

Applying absolute value property, we have

-9 > x-9 > 9

Adding 9 to both sides of above equation, we have

-9+9 > x-9+9 > 9+9

0 > x > 18

Hence, we can write above inequality as:

x < 0 or x > 18 which is the answer.

6 0

3 years ago