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3 years ago

Add the numerator and denominator seperatly, then find the quotient -3( - 8) / 5 + 7

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

4 0

Numerator = -3( - 8) = - 3 - 8 = -11

Denominator = 5 + 7 = 12

So the quotient = -11/12

Answer

- 11/12

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Fittoniya [83]

For each part A through D below, the idea is to find the common factor between the terms, which you'll then use the distributive property to pull out.

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Part A

3x + 18 = 3(x+6)

Note how we pulled out a 3. If we distribute it back in, we end up with 3x+18 again. The other problems are done in a similar fashion

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Part B

2x - 14 = 2(x - 7)

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Part C

6x + 4 = 2(3x + 2)

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Part D

9x - 15 = 3(3x - 5)

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4 years ago

Please help me with this please!!

Eva8 [605]

9514 1404 393

Answer:

135°

Step-by-step explanation:

In order to answer the question, we must assume that the black lines are parallel to each other.

The given angles (2, 8) are "same-side (consecutive) exterior" angles, so are supplementary.

∠2 +∠8 = 180°

15x +5x = 180°

x = 180°/20 = 9°

∠2 = 15x = 15(9°) = 135°

Angles 2 and 3 are vertical angles, so angle 3 has the same measure as angle 2.

∠3 = 135°

6 0

3 years ago

In a study, 43% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people

marishachu [46]

Answer:

13.44% probabilith that at most 3 are in excellent health.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they are in excellent health, or they are not. The probability of an adult being in excellent health is independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

43% of adults questioned reported that their health was excellent.

This means that $p = 0.43$

13 adults randomly selected

This means that $n = 13$

Find the probability that when 13 adults are randomly selected, at most 3 are in excellent health.

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{13,0}.(0.42)^{0}.(0.58)^{13} = 0.0008$

$P(X = 1) = C_{13,1}.(0.42)^{1}.(0.58)^{12} = 0.0079$

$P(X = 2) = C_{13,2}.(0.42)^{2}.(0.58)^{11} = 0.0344$

$P(X = 3) = C_{13,3}.(0.42)^{3}.(0.58)^{10} = 0.0913$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0008 + 0.0079 + 0.0344 + 0.0913 = 0.1344$

13.44% probabilith that at most 3 are in excellent health.

6 0

3 years ago

Nate and clara are drawing pictures with markers. there are 8 markers in a set. nate has 9 markers and clara has 7. what can nat

Morgarella [4.7K]

There are 8 markers in a set
nate has 9 markers
clara has 7 markers
For nate to have a set, you need:
9 markers - 1 marker = 8 markers
For clara to have a set, you need:
7 markers + 1 marker = 8 markers
Therefore, nate should give 1 marker to clara so that both have a complete set.

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4 years ago

Find g(+6) when g(x) = ***

Leno4ka [110]

Missing information. Try reposting.

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3 years ago