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3 years ago

10

Evaluate x/y for x=2/3 and y=6/7.

2 answers:

xxMikexx [17]3 years ago

7 0

So when you divide a fraction into a fraction, you use reciprocals!

1)
2/3 divided by 6/7 becomes 2/3 times 7/6 (ALWAYS flip the second fraction)

2) Just multiply right across!

2 7 14
-- times ------- = -------
3 6 18

3) Simplify fraction!

14
---- DIVIDE BY 2--> 7/9
18

4) Final answer: 7/9

Helen [10]3 years ago

3 0

The answer is 7/9. An easy way to solve it is by doing 2/3 x 7/6. Since 2/3 divided by 6/7 is the opposite of it.

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If -3m + 1 > 7, which of the following is a solution set for m?

Papessa [141]

ANSWER

m < -2

EXPLANATION

We want to find the solution set for m in:

$-3m+1>7$

First, collect like terms:

$\begin{gathered} -3m>7-1 \\ -3m>6 \end{gathered}$

Now, divide both sides by -3. When you divide an inequality by a negative number, <em>the sign changes direction</em>:

$\begin{gathered} \frac{-3m}{-3}>\frac{6}{-3} \\ m$

This means that all values of m must be less than -2.

<em>None of the options contains the correct solution set.</em>

4 0

1 year ago

Find the odds of each of the following events. (a) an event E with Pr(E) = 4/7 (b) an event E with Pr(E) = 0.6 (a) The odds are

Dafna1 [17]

Answer:

(a) The odds of event E is 4/3.

(b) The odds of event E is 3/2.

Step-by-step explanation:

Formula for probability of an event:

$Probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}$

Formula for odds of an event:

$odds=\frac{\text{Favorable outcomes}}{\text{Unfavorable outcomes}}$

(a)

It is given that

$P(E)=\frac{4}{7}$

The probability of unfavorable event

$P(E')=1-P(E)=1-\frac{4}{7}=\frac{3}{7}$

Odds of event E is

$odds=\frac{P(E)}{P(E')}$

$odds=\frac{\frac{4}{7}}{\frac{3}{7}}$

$odds=\frac{4}{3}$

Therefore the odds of event E is 4/3.

(b)

It is given that

$P(E)=0.6$

The probability of unfavorable event

$P(E')=1-P(E)=1-0.6=0.4$

Odds of event E is

$odds=\frac{P(E)}{P(E')}$

$odds=\frac{0.6}{0.4}$

$odds=\frac{3}{2}$

Therefore the odds of event E is 3/2.

3 0

3 years ago

According to the property

AleksAgata [21]

Answer:

√30/6 = √5

The correct answer would be E

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2 years ago

A box is 60 cm long. which is closest to the length of this box in feet

nekit [7.7K]

The answer is ... 1.9685! i solved it and this is what it came out

5 0

3 years ago

Given m ll n find the value of x

Fofino [41]

Answer:

106 degrees

Step-by-step explanation:

Angle x is the alternate exterior angle to angle 106 degrees.

Alternate exterior angles are congruent.

8 0

3 years ago