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3 years ago

10

Three pounds of mash potatoes make eight equal-size servings of mashed potatoes. How many pounds of potatoes are in each serving

? Represent the situation with a model. Then solve.

1 answer:

Murrr4er [49]3 years ago

3 0

Three, divided by 8. 3/8. or .375 pounds.

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A certain standardized test's math scores have a bell-shaped distribution with a mean of 530 and a standard deviation of 119. Co

kumpel [21]

Answer:

a) 68.2%

b) 31.8%

c) 2.3%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 530

Standard Deviation, σ = 119

We are given that the distribution of math scores is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(test scores is between 411 and 649)

$P(411 \leq x \leq 649)\\\\= P(\displaystyle\frac{411 - 530}{119} \leq z \leq \displaystyle\frac{649-530}{119})\\\\= P(-1 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -1)\\= 0.841 - 0.159 = 0.682 = 68.2\%$

b) P(scores is less than 411 or greater than 649)

$P(x < 411 < x, x > 649)\\=1 = P(411 \leq x \leq 649)\\=1 - 0.682\\=0.318 = 31.8\%$

c) P(score greater than 768)

P(x > 768)

$P( x > 768) = P( z > \displaystyle\frac{768 - 530}{119}) = P(z > 2)$

$= 1 - P(z \leq 2)$

Calculation the value from standard normal z table, we have,

$P(x > 768) = 1 -0.977 = 0.023 = 2.3\%$

5 0

3 years ago

A circle circumference is 600 M. what is the good approximation of the circle area

wlad13 [49]

Answer:

The area of the circle is 28662 M².

Step-by-step explanation:

Given:

Circumference of circle = 600 M.

Now, to find the area of the circle.

So, <em>to get the area we need to find the radius.</em>

By putting the formula of circumference we get the radius:

Let the radius be r.

Circumference = 2πr

$600 = 2\times 3.14\times r$ (taking the value of π = 3.14.)

$600=6.28r$

Dividing both sides by 6.28 we get:

$95.54=r$

Now, <em>for getting the area we put the formula:</em>

Area = πr²

$Area = 3.14\times 95.54^{2}$

$Area = 3.14\times 9127.89$

$Area = 28661.57$

So, <u><em>approximately the area of the circle = 28662 M²</em></u>.

Therefore, the area of the circle is 28662 M².

4 0

2 years ago

The diameter of a round rug is 42 inches. What is the approximate area of the rug?

aksik [14]

Answer:

D, It would be 1,385 Square Inches

Step-by-step explanation:

3 0

2 years ago

Write 7 x 10^-3<br> in standard notation.

VashaNatasha [74]

Answer:

0.007

Step-by-step explanation:

A negative notation starts with 0's from the left.

count 3 places before the 7, that is where my point is.

I am pretty sure of my explanation but the answer is correct.

5 0

3 years ago

David is saving $250 to buy a bicycle. He saved $8 each week for 12 weeks. He wants to buy the bicycle in 7 more weeks. How much

ankoles [38]

Answer:

He would need to save $22 dollars each week to pay for the bike in 7 weeks.

Step-by-step explanation:

We can figure out how many he has saved up already by multiplying the number of weeks (12) by how much he saved each week ($8) which equals $96. Now we have to subtract $96 from $250 which equals $154. Now we need divide this amount by the remaining weeks until he wants to purchase his bike (7), so 154/7 which equals $22.

So he needs to pay 22 dollars each week to pay off the bike in seven weeks

7 0

3 years ago