What is 87 divide by 1,218

The quantities xxx and yyy are proportional. xxx yyy 111111 1\dfrac{2}{9}1 9 2 1, start fraction, 2, divided by, 9, end fracti

jolli1 [7]

Question:

The quantities x and y are proportional.

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

Find the constant of proportionality (r)

Answer:

$r = 1\frac{10}{11}$

Step-by-step explanation:

Given

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

Required

Determine the constant of proportionality (r)

Constant of proportionality (r) is calculated as

$y = rx$

When

$y = 2\frac{1}{3}$ $x = 1\frac{2}{9}$

Substitute these values in the given formula

$2\frac{1}{3} = r * 1\frac{2}{9}$

Convert both fractions to improper fractions

$\frac{7}{3} = r * \frac{11}{9}$

Multiply both sides by $\frac{9}{11}$

$\frac{7}{3} * \frac{9}{11}= r * \frac{11}{9} * \frac{9}{11}$

$\frac{7}{3} * \frac{9}{11}= r$

Reorder

$r = \frac{7}{3} * \frac{9}{11}$

$r = \frac{7 * 9}{3 * 11}$

Divide the numerator and denominator by 3

$r = \frac{7 * 3}{11}$

$r = \frac{21}{11}$

Convert to mixed fraction

$r = 1\frac{10}{11}$

Hence, the constant of proportionality is $1\frac{10}{11}$

4 0

3 years ago

Need help asap will give brainly

padilas [110]

Answer:

The answer is A✔✔✔✔ hope that helps !!!!!!!!!!

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The operations manager at a compact fluorescent light bulb (CFL) factory needs to estimate the mean life of a large shipment of

aliya0001 [1]

Answer:

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.95$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{1000}{\sqrt{64}} = 245$

The lower end of the interval is the sample mean subtracted by M. So it is 7500 - 245 = 7255 hours.

The upper end of the interval is the sample mean added to M. So it is 7500 + 245 = 7745 hours.

The 95% confidence interval estimate for the population mean life of compact fluorescent light bulbs in this shipment is between 7,255 hours and 7,745 hours.

7 0

3 years ago

Please answer my question!

Bess [88]

Answer:

Im pretty sure ita square root 0.4

Step-by-step explanation:

if you square root it, its the only one that doesnt repeat and doesnt stop, which makes it irrational.

6 0

4 years ago

F(x)+x^2+7 Find X if f(x)=23

Illusion [34]

Answer:

Step-by-step explanation:

x^2 + 7 = 23

x^2 = 16

√x² = √16

x = 4

6 0

3 years ago