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4 years ago

(5q - 8r) (5q + 8r) Multiplying polynomials

1 answer:

8 0

Hi!

This problem is pretty simple it is the factored form of a difference of squares expression.

The answer is 25q²-64r²

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An integer is chosen at random from first hundred natural numbers. The probability that the integer chosen the multiple of 5 is

Ede4ka [16]

Answer: 0.2

Step-by-step explanation:

The first hundred natural numbers are 1 to 100.

Now, the numbers that are multiples of 5 are the numbers that end in 5 or 0, so we have:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100

So in the range, we have 20 multiples of 5.

Now, when we select at random, each number has the same probability of being selected, then the probability of randomly selecting a multiple of 5 is equal to the number of multiples of 5 divided the total number of options in the set.

we have 20 multiples of 5, and in the set we have a total of 100 numbers, then the probability is:

P = 20/100 = 0.2

7 0

3 years ago

3/4 picked apples. If 120 students picked apples, how many picked bananas

Oxana [17]

Answer:

40 students picked bananas

Step-by-step explanation:

3/4 picked apples

1 - 3/4 = 1/4 picked bananas

3/4x = 120

Multiply both sides of the equation by 4/3

4/3 * (3/4x) = 120/1 * (4/3)

x = 480/3

x = 160

Total of 160 students

/ \

120 = apples 160 - 120 = 40 = bananas

40 students picked bananas

Hope this helps :)

6 0

3 years ago

Read 2 more answers

Question 7 of 10

Ganezh [65]

Answer:

Option B

Step-by-step explanation:

Given Equation :

$\qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2$

Using distribute property:

$\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2$

Adding the like terms we get :

$\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2$

$\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13$

Transposing the variables on the right side and constant terms on the left side :

$\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9$

$\qquad \sf \dashrightarrow \: 5x = - 22$

Dividing both sides by 5 :

$\qquad \sf \dashrightarrow \: \dfrac{5x}{5} = \dfrac{ - 22}{5}$

$\qquad \bf \dashrightarrow \: x = \dfrac{ - 22}{5}$

3 0

3 years ago

588,140/60<br><br> Can anyone show me a step-by-step answer?

Sav [38]

Answer:

$\sf 9,802 \frac{1}{3}$

Step-by-step explanation:

$\sf = \frac{588,140}{60}$

$\sf = \frac{58,814}{6}$

$\sf = 9,802 \frac{2}{6}$

$\sf = 9,802 \frac{1}{3}$

4 0

2 years ago

50. Carrie is running for mayor in her local city election. In order to win, she must earn over 50% of the votes. ecides to hire

grandymaker [24]

Answer:

b. The students find a p-value less than 0.05

c. Carrie ends up losing the election.

e. The students make the conclusion that Carrie does not have more than 50% of the vote.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis.

Type I error is one in which we reject a true null hypothesis.

In the given scenario Type I error will be the one where students incorrectly estimates the p value and reject the null hypothesis when it was true. This error will result in losing the elections.

3 0

4 years ago