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3 years ago

Simplify the expression 7+3(1-2x)

Mathematics

2 answers:

Levart [38]3 years ago

7 0

Answer:

-6x + 10

Step-by-step explanation:

7 + 3( 1 − 2x)

Distribute:

=7 + (3) (1) + (3) (−2x)

=7 + 3 + −6x

Combine Like Terms:

=7 + 3 + −6x

=(−6x) + (7 + 3)

= −6x + 10

Answer:

= −6x + 10

hope this helps and is right :)

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tamaranim1 [39]3 years ago

3 0

Answer:

6x+10

Step-by-step explanation:

So 3*1=3

3*2x=6x

And then you add 7

3+6x+7= 6x+10

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Answer:

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Step-by-step explanation:

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2 years ago

On the track team 3/5 of the members are boys. of these boys 4/7 are 6th graders. Of the 6th grade boys on the team, 1/3 are run

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3 years ago

A company that explores for oil in the ocean is considering two new sites, A and B. The exploration will take the entire year. T

Lelu [443]

Answer:

Step-by-step explanation:

Hello!

There are two sites A and B,

Be the events A: finding oil in site Awith probability P(A)= 0.6

and B: finding oil in B with probability P(B)= 0.84

A and B are independent (there cannot be found oil of A in B and vice versa)

Remember, two events are independent when the occurrence of one of them doesn't modify the probability of occurrence of the other one in two repetitions of the experiment.

1) Find the probability that oil is found at both sites (round your answer to 2 decimal places)

If there is oil in both sites then event A and B are observed, symbolically:

P(A∩B)

Since both events are independent, the probability of the intersection of both events is equal to the product of each probability so:

P(A∩B)= P(A)*P(B)= 0.6*0.84= 0.504

2) Find the probability that oil is found at only one of the sites (round your answer to 2 decimal places)

In this case, you have two situations in which the statement can occur:

> "finding oil in A" and "not finding oil in B"

-or-

> "not finding oil in A" and "finding oil in B"

Be A' the complementary event of A, i.e. "not finding oil in region A", with probability P(A')= 1 - P(A)= 1 - 0.6= 0.4

And B' the complementary event of B, i.e. "not finding oil in region B", with probability P(B')= 1 - P(B)= 1 - 0.84= 0.16.

You can symbolize these two possible occurrences as:

Remember that "and" indicated intersection between two events, symbolized ∩, and "or" indicates the union between two events, symbolized ∪.

P((A∩B')∪(A'∩B))= P(A∩B') + P(A'∩B)= [P(A)*P(B')]+[P(A')*P(B)]= (0.6*0.16)+(0.4*0.84)= 0.432

I hope it helps!

7 0

2 years ago

What goes on the green box?

Zarrin [17]

11 because you would add the 14 and 2 which would be 9^16 then you would subtract 5 which would make it 9^11

3 0

3 years ago

We guess, based on historical data, that 30% of graduating high-school seniors in a large city will have completed a first-year

Annette [7]

Answer:

$n=\frac{0.3(1-0.3)}{(\frac{0.025}{1.96})^2}=1290.78$

And rounded up we have that n=1291

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

2) Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: