$\displaystyle\\
\frac{x}{y} ~~~ \Big( \texttt{ for } x = \frac{2}{3} \texttt{ and } y = \frac{6}{7} \Big)= ?\\ \\ \\ 
\Longrightarrow~~~\frac{x}{y}= \frac{~\frac{2}{3} ~}{\frac{6}{7} }= \frac{2}{3} \cdot \frac{7}{6} =\frac{2\cdot 7}{3\cdot6 }= \frac{7}{3\cdot 3 }= \boxed{\frac{7}{9}} \\ \\ \\ 
\texttt{Correct ansver: A}$

4 0

4 years ago

Solve the equation s/r -2=t/r <br>solve for r

vivado [14]

Answer: have a good day :)

$r=\frac{s}{2}-\frac{t}{2}$

8 0

3 years ago

If the height of a right triangle is 24 inches and the the area of the triangle is 120 square inches, what is the length of the

Rus_ich [418]

(120×2)/24 = 10inches

3 0

4 years ago

A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence in

andreev551 [17]

Answer: 547

Step-by-step explanation: The margin of error formulae is given below as

Margin of error = critical value ×(σ/√n)

Where σ = standard deviation and n is the sample size.

From our question, margin of error = 0.08

Variance is 1.691,

hence σ = √variance = √1.691

= 1.3.

We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.

The critical value for a 85% confidence interval is 1.44.

Hence critical value is 1.44.

By substituting the parameters, we have that

0.08 = 1.44 × 1.3/ √n

0.08 = 1.873/ √n

By cross multiplying

0.08 × √n = 1.873

√n = 1.873/ 0.08

√n = 23.41

n = (23.41)²

n = 547.

7 0

3 years ago