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stellarik [79]
3 years ago
9

g The weight of a certain type of apple is normally distributed with a mean of 10.56 ounces and standard deviation of 0.9 ounces

. What is the first quartile, Q subscript 1, of the weight of this type of apple?
Mathematics
1 answer:
jeyben [28]3 years ago
6 0

Answer:

First Quartile Q1 = 9.9525

Step-by-step explanation:

For a standard normal distribution,

First quartile Q1 = μ - 0.675 σ

From the question mean μ = 10.56

Standard deviation σ = 0.9

Plugging these values into the first quartile equation, we have;

Q1 = 10.56 -0.675(0.9)

Q1 = 10.56 - 0.6075

Q1 = 9.9525

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A regular hexagon inscribed in a circle is approximately 0.827 times the area of that same circle. What percentage of the circle
tatyana61 [14]

a. The percentage of the circle occupied by the hexagon is 82.7%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Step-by-step explanation:

a regular hexagon inscribed in a circle is approximately 0.827 times the

area of that same circle

1. Assume that area the circle is x

2. Find the ratio of area hexagon to area circle

3. Change The ratio to percentage

4. Subtract area hexagon from area circle to find the area not occupied

    by the hexagon and do the same steps 2 and 3 with the area not

    occupied and the circle

∵ The regular hexagon inscribed in a circle

∴ Area the circle  > area of the hexagon

∵ Area the circle is x

∵ Area the hexagon is 0.827 times the area of the circle

∴ Area hexagon = 0.827(x)

∵ The ratio between area hexagon and area circle = \frac{0.827x}{x}

- Cancel x up with x down

∴ The ratio between area hexagon and area circle = 0.872

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area hexagon to area circle = 0.827 × 100%

∴ The percentage of area hexagon to area circle = 82.7%

a. The percentage of the circle occupied by the hexagon is 82.7%

∵ Area the circle is x

∵ Area the hexagon is 0.827 x

∴ The area not occupied by the hexagon = x - 0.827 x

∴ The area not occupied by the hexagon = 0.173 x

The ratio between area not occupied by the hexagon and area circle

= \frac{0.173x}{x}

- Cancel x up with x down

∴ The ratio between area not occupied by the hexagon and area

   circle = 0.173

- Change the ratio to percentage by multiply it by 100%

∴ The percentage of area not occupied by the hexagon to area

   circle = 0.173 × 100%

∴ The percentage of area not occupied by the hexagon to area

   circle = 17.3%

b. The percentage of the circle not occupied by the hexagon is 17.3%

Learn more:

You can learn more about percentage in brainly.com/question/12284722

#LearnwithBrainly

6 0
3 years ago
What are the domain and range of the function f(x) = 4?
pychu [463]
Domain is all real numbers
Range is {4}.
5 0
3 years ago
913,256 write the name of the period that has the digits 913
Alja [10]
Nine hundred thirteen thousand
7 0
3 years ago
A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
Digiron [165]

Answer:

a) 7/80 = 0.0875

b) 3/16 = 0.1875

c) 1/4 = 0.2500

Step-by-step explanation:

There are a total of 16 balls.  3 are selected.  There are ₁₆C₃ possible combinations.

a) If all 3 balls are the same color, they are either all yellow OR all blue OR all red.

The number of ways of choosing 3 yellow balls from 7 is ₇C₃.

The number of ways of choosing 3 blue balls from 5 is ₅C₃.

The number of ways of choosing 3 red balls from 4 is ₄C₃.

The total probability is:

P = (₇C₃ + ₅C₃ + ₄C₃) / ₁₆C₃

P = (35 + 10 + 4) / 560

P = 49 / 560

P = 7 / 80

P = 0.0875

b) The number of ways of choosing 2 yellow balls from 7 is ₇C₂.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The probability of both is:

P = ₇C₂ ₅C₁ / ₁₆C₃

P = 21 × 5 / 560

P = 105 / 560

P = 3 / 16

P = 0.1875

c) If all 3 balls are different colors, then there is exactly 1 yellow, 1 blue, and 1 red.

The number of ways of choosing 1 yellow ball from 7 is ₇C₁.

The number of ways of choosing 1 blue ball from 5 is ₅C₁.

The number of ways of choosing 1 red ball from 4 is ₄C₁.

The probability of all events is:

P = ₇C₁ ₅C₁ ₄C₁ / ₁₆C₃

P = 7 × 5 × 4 / 560

P = 140 / 560

P = 1 / 4

P = 0.2500

3 0
3 years ago
There are 40 coins in a roll of nickles. Find the value of 25 rolls of nickels.
maksim [4K]

To get the answer you have to multiply the number of coins per roll which is 40 by the number of rolls which is 25. So the equation you get is 40*25. And the answer you get is 1000

3 0
3 years ago
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