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2 years ago

Solve for m. m/9 + 2/3 =7/3

Mathematics

1 answer:

Nuetrik [128]2 years ago

8 0

Answer:

m= 15

Step-by-step explanation:

$\frac{m}{9} + \frac{2}{3} = \frac{7}{3}$

To solve for m, start by moving the constants (numbers that are not attached to any variable) to the other side of the equation.

$\frac{m}{9} = \frac{7}{3} - \frac{2}{3}$

Simplify:

$\frac{m}{9} = \frac{5}{3}$

Multiply both sides by 9:

$m = \frac{5}{3} \times 9$

Crossing out 3 from the denominator and from 9:

m= 5(3)

m= 15

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The side lengths of triangle ABC are 3,4, and 5 which set of ordered pairs from a triangle that is congruent to triangle ABC?

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The answer is A.)(-3,1) , (-3,5) , (0,5)

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3 years ago

After a late night of studying, Ebony decides to grab a latte before class so she can stay awake through her morning lecture. Sh

Rzqust [24]

Answer:

$P(Same\ Bill) = \frac{1}{3}$

$P(Second$

$P(Both\ Even) = \frac{1}{9}$

$Pr(One\ Odd) = \frac{4}{9}$

$P(Sum < 10) = \frac{1}{3}$

Step-by-step explanation:

Given

$Bills: \$1, \$5, \$10$

$Selection = 2\ bills$

The sample space is as follows:

This implies that we construct possible outcome that Ebony selects a bill, returns the bill and then select another.

This means that there are possibilities that the same bill is selected twice.

So, the sample space is as follows:

$S = \{(1,1), (1,5), (1,10), (5,1), (5,5), (5,10), (10,1), (10,5), (10,10)\}$

$n(S) = 9$

Solving (a): $P(Same\ Bill)$

This means that the first and second bill selected are the same.

The outcome of this are:

$Same = \{(1,1),(5,5),(10,10)\}$

$n(Same\ Bill) = 3$

The probability is:

$P(Same\ Bill) = \frac{n(Same\ Bill)}{n(S)}$

$P(Same\ Bill) = \frac{3}{9}$

$P(Same\ Bill) = \frac{1}{3}$

Solving (a): $P(Second < First\ Bill)$

This means that the second bill selected is less than the first.

The outcome of this are:

$Second < First = \{(1,5), (1,10), (5,10)\}$

$n(Second < First) = 3$

The probability is:

$P(Second$

Solving (c): $P(Both\ Even)$

This means that the first and the second bill are even

The outcome of this are:

$Both\ Even = \{(10,10)\}$

$n(Both\ Even) = 1$

The probability is:

$P(Both\ Even) = \frac{n(Both\ Even)}{n(S)}$

$P(Both\ Even) = \frac{1}{9}$

Solving (e): $P(Sum < 10)$

This question has missing details.

The correct question is to determine the probability that, the sum of both bills is less than 10

The outcome of this are:

$One\ Odd = \{(1,10), (5,10), (10,1), (10,5)\}$

$n(One\ Odd) = 4$

The probability is:

$Pr(One\ Odd) = \frac{n(One\ Odd)}{n(S)}$

$Pr(One\ Odd) = \frac{4}{9}$

Solving (d): $P(One\ Odd)$

This question has missing details.

The correct question is to determine the probability that, exactly one of the bills is 0dd

The outcome of this are:

$Sum < 10 = \{(1,1), (1,5), (5,1)\}$

$n(Sum < 10) = 3$

The probability is:

$P(Sum < 10) = \frac{n(Sum < 10)}{n(S)}$

$P(Sum < 10) = \frac{3}{9}$

$P(Sum < 10) = \frac{1}{3}$

3 0

3 years ago

A survey of 1050 eligible voters, an approximate 98% confidence interval estimate for the proportion of voters who claimed to ha

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Answer:

There is a 98% confidence that the true proportion of voters who have voted in the last presidential election lies in this interval.

Step-by-step explanation:

The confidence interval for estimating the population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The 98% confidence interval estimate for the proportion of voters who claimed to have voted in the last presidential election was (0.616, 0.681).

The sample taken was of size, <em>n</em> = 1050.

<u>Interpretation</u>:

The 98% confidence interval (0.616, 0.681) for the proportions of voters who claimed to have voted in the last presidential election implies that the true proportion of voters who have voted lies in this interval with 0.98 probability.

Or, there is a 98% confidence that the true proportion of voters who have voted in the last presidential election lies in this interval.

Or, if 100 such samples are taken and 100 such 98% confidence interval are made then 98 of these confidence intervals would consist of the true proportion of voters who have voted in the last presidential election.

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3 years ago

Solve the inequalities (i) 5 ≤ 2x − 4 ≤ 8 (ii) −10 < 4 −3y/− 5 ≤ 4

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Step-by-step explanation:

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3 years ago

You're studying how well students remember vocabulary after they stop studying a new language. The first student you study remem

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Answer:

Exponential decay model

Step-by-step explanation:

A quick graph shows the remembrance pattern is not linear because the slope is not the same. Therefore a very likely remembrance pattern will be exponentially related.

3 0

3 years ago