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3 years ago

The diameter of a circular chip is doubled to use in a new board game. The area of the new chip will be

Mathematics

2 answers:

nikitadnepr [17]3 years ago

7 0

Answer: $A_2=\frac{\pi(2D)^{2}}{4}$

Step-by-step explanation:

1. You have the following formula for calculate the area of the original circular chip:

$A_1=\frac{\pi(D)^{2}}{4}$

Where D is the diameter of the circle.

2. Then, if the diameter of the original circular chip is doubled (2D) to use in a new board game, the area of the new chip can be calculated with the following formula:

$A_2=\frac{\pi(2D)^{2}}{4}$

iVinArrow [24]3 years ago

5 0

Answer:

The area of the new chip will be 4 times the area of old chip

Step-by-step explanation:

Formula

Area of circle = πr² where r is the radius if circle

Let d be the diameter of old circular chip

radius r = d/2

To find the area of old chip

Area = πr² = π(d/2)²

Area = πd²/4

To find the area of new chip

Here diameter = 2d

radius r = 2d/2 = d

Area = πr² = πd²

Therefore the area of the new chip will be 4 times the area of old chip

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the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtai

Blababa [14]

Let $X$ be the random variable for the number of marks a given student receives on the exam.

10% of students obtain more than 75 marks, so

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where $Z$ follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

$P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)$

where $F_Z(z)=P(Z\le z)$ denotes the CDF of $Z$ , and $F_Z^{-1}$ denotes the inverse CDF. We have

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Similarly, because 20% of students obtain less than 40 marks, we have

$P(X$

so that

$P(Z$

Then $\mu,\sigma$ are such that

$\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma$

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and we find

$\mu\approx53.8739,\sigma\approx16.4848$

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4 years ago

To make ribbon and bow for a hat, Stacey needs 5/6 yard of black ribbon and 2/3 yard of red ribbon. how much total ribbon does s

larisa86 [58]

First make the denominators of the fractions the same by multiplying.

$\frac{2}{3}$ × $\frac{2}{2}$
= $\frac{4}{6}$

Now we just need to add the fractions together

$\frac{5}{6} + \frac{4}{6}$
= $\frac{9}{6}$

9/6 would be the answer, but it can be simplified further, then converted into decimal form.

$\frac{9}{6}$ ÷ $\frac{3}{3}$
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Your final answer is 1.5 yards of ribbon are needed.

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Mnenie [13.5K]

Answer:

5^3

Step-by-step explanation:

125= 5*25

25=5*5

5 is a prime number and there are 3 of them so the answer in index notation will be 5^3

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