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4 years ago

Assignment: Using Prime Factorization Investigation

Mathematics

1 answer:

damaskus [11]4 years ago

3 0

Answer:

3(2 +7)
9(3 +5)
16(2 +3)
15(2 +5)
8(11 +3)

Step-by-step explanation:

6 + 21 = 2·3 + 3·7 = 3(2 +7)
27 + 45 = 3^3 + 3^2·5 = 9(3 +5)
32 + 48 = 2^5 + 2^4·3 = 16(2 +3)
30 + 75 = 2·3·5 + 3·5^2 = 15(2 +5)
88 + 24 = 2^3·11 +2^3·3 = 8(11 +3)

In each case, the factor outside parentheses is the greatest common factor, the product of the prime factors common to both numbers. When the same factor has different powers, the least power is the common factor.

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An insurance company study shows that 9% of U. S. adults have diabetes. Suppose 8 US adults are selected at random. LetX be the

Bogdan [553]

Using the binomial distribution, it is found that:

The mean of X is of 0.72.

The standard deviation of X is of 0.81.

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly <u>x successes on n repeated trials, with p probability </u>of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

For this problem, the parameters are given as follows:

n = 8, p = 0.09.

Hence the mean and the standard deviation are, respectively:

E(X) = np = 8 x 0.09 = 0.72.

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8 \times 0.09 \times 0.91} = 0.81$

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2 years ago

CALCULAR O PERÍMETRO DE UM RETANGULO, SABENDO-SE QUE SUA BASE E ALTURA DIFEREM 12 M E QUE ESTA É 1/3 DAQUELA

Ostrovityanka [42]

perimeter =48

18+18+6+6=48

x-12=x/3

Multiply both sides by 3

3x-36=x

3x=x+36

2x=36

x=18

18-12=18/3

6=6

One side 18 another side 6

7 0

4 years ago

Area of a square is 196 cm²

andrew-mc [135]

Step-by-step explanation:

Area of Square=side²

Side=√(Area of the square)

Given area of the square=196cm²

Side of the square=√196=14cm

Perimeter of square=4*side=4*14=56cm

Length of the rectangle=(14+x)cm

Breadth of the rectangle=(14-y)cm

Area of rectangle=Length*Breadth=

(14+x)(14-y)=14(14)+14(-y)+x(14)+x(-y)=(196-14y+14x-xy)cm²

5 0

3 years ago

Montraie has a coin collection. He keeps 10 of the coins in his box, which is 20% of the collection. How many total coins are in

jek_recluse [69]

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

<h3>How to calculate the quantity of coins in a collection</h3>

In this question we know the quantity of coins in a box and such coins are part of the <em>coin</em> collection. By definition of percentage we have the <em>total</em> quantity of coins in the collection:

x = 10*(100/20)

x = 50

By definition of percentages, we conclude that Montraie has 10 coins saved in his box that come from a collection with a total of 50 coins.

To learn more on percentages: brainly.com/question/13450942

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2 years ago

PLS!! ANSWER FIRST TO ANSWER CORRECT WILL BE BRAINLIEST!!!

kati45 [8]

Answer:

Step-by-step explanation:

because 27-1/8y^9 is the right answer I had the same and i got it right

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3 years ago