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skelet666 [1.2K]
3 years ago
12

“The perimeter P of a triangle is equal to the sum of the lengths of sides a,b, and c”

Mathematics
1 answer:
Kryger [21]3 years ago
5 0

Answer:

1. Write the addition of "a", "b" and "c".

2. The equation is: P=a+b+c

Step-by-step explanation:

You know that <em>P</em> represents the perimeter of the triangle and <em>a, b </em>and <em>c </em>represent the sides of the triangle.

By definition, the sum is the result of an addition. Therefore, the statement "The perimeter <em>P</em> of a triangle is equal to the sum of the lengths of sides <em>a, b</em>, and <em>c</em>”, indicates that the perimeter is obtained by adding the lengths of the sides of the triangle.

Knowing this, you can write the following equation:

P=a+b+c

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Answer:  a) -0.2252, b) 0.8219

Step-by-step explanation:

Since we have given that

Sample size n = 100

Probability that candies are blue = p= 0.26

Probability that company claims that it is blue candy = P = 0.27

So, Q = 1-P= 1-0.27 = 0.73

So, Null hypothesis : H_0:p=P

Alternate hypothesis : H_1:p\neq P

So, the test statistic would be

z=\dfrac{p-P}{\sqrt{\dfrac{P.Q}{n}}}\\\\z=\dfrac{0.26-0.27}{\sqrt{\dfrac{0.27\times 0.73}{100}}}\\\\z=-0.2252

Since α = 0.05

So, critical value of z = 1.96

p-value = P(Z>Z(calculated)

Using the excel function , we get that

P(z>0.2252)\\\\=2\times 0.410.911845\\\\=0.8219

Hence, a) -0.2252, b) 0.8219

6 0
3 years ago
D divided by 4 plus 12 = 20<br> show steps<br> what is d
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Answer:

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Step-by-step explanation:

So first rewrite it as an equation: d/4+12=20

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180 - 46 - 24 = 110

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answer
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