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2 years ago

Please Simplify 5(x - 6)

Mathematics

2 answers:

Yakvenalex [24]2 years ago

7 0

Final Answer: $5x - 30$

Steps/Reasons:

Question: Simplify $5(x - 6)$

Step 1: Expand by distributing the terms.

$5x + 5$ × $-6$

Step 2: Simplify $5$ × $-6$ to $-30$ .

$5x - 30$

~I hope I helped you :)~

nordsb [41]2 years ago

4 0

Our equation looks like:

$5(x-6)$

This means that we will need to distribute. This means that we need to multiply everything inside the parenthesis by the number outside of the parenthesis. (Note: you only distribute when variables are involved.)

$(5 \cdot x)-(5 \cdot 6)$

Simplify:

$5x-30$

We cannot simplify any further, so we know that our equation, until we know what x equals, is $5x - 30$ .

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Lola and Brandon had a running race. They ran 3/10 of a mile. Lola was in the lead for 4/5 of the distance. For what fraction of

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Answer:

Lola was in lead for $\frac{6}{25}$ of a mile.

Step-by-step explanation:

We have been given that Lola and Brandon had a running race. They ran 3/10 of a mile. Lola was in the lead for 4/5 of the distance.

To find the fraction of a mile for which Lola was in the lead, we need to find 4/5 of 3/10 as:

$\text{Fraction for which Lola was in lead}=\frac{3}{10}\times\frac{4}{5}$

$\text{Fraction for which Lola was in lead}=\frac{3}{5}\times\frac{2}{5}$

$\text{Fraction for which Lola was in lead}=\frac{3\times2}{5\times5}$

$\text{Fraction for which Lola was in lead}=\frac{6}{25}$

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3 years ago

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A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

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Answer: 0.0031

Step-by-step explanation:

Binomial distribution formula :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes in the n independent trials of the experiment and p is the probability of success.

Given : A binomial probability experiment is conducted with the given parameters.

$n=9,\ p=0.8,\ x\leq3$

Now, $P(x\leq3)=P(3)+P(2)+P(1)+P(0)$

$=^9C_3(0.8)^3(1-0.8)^{9-3}+^9C_2(0.8)^2(1-0.8)^{9-2}+^9C_1(0.8)^1(1-0.8)^{9-1}+^9C_0(0.8)^0(1-0.8)^9\\\\=\dfrac{9!}{3!6!}(0.8)^3(0.2)^6+\dfrac{9!}{2!7!}(0.8)^2(0.2)^7+\dfrac{9!}{1!8!}(0.8)(0.2)^8+\dfrac{9!}{0!9!}(0.2)^9=0.003066368\approx0.0031$

Hence, $P(x\leq3)=0.0031$

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A population, P, of birds is doubling in size each year, according to the model P = 100(2t), where t reperesents years. What was

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