All categories

2 years ago

The variables x and y vary inversely, and x = 12 when y = 6. Use the inverse variation formula, k = xy, to

Mathematics

1 answer:

I am Lyosha [343]2 years ago

6 0

Answer:

D=24

Step-by-step explanation:

y inversely as x

x=k/y

By cross multiplication

k=xy

k=12*6

k=72

finding y

72=3y

y=24

You might be interested in

Two planes A and B start from the same place and move in different directions making an angle of 50° between them the speed of p

Alika [10]

Answer:

The distance between them is 230.65 miles

Step-by-step explanation:

Here we use the Cosine formula

$a^2 = b^2 + c^2 - 2bc\ cos\ A\\\\a^2 = 200^2 + 300^2 - 2\times 200\times 300cos50^{\circ}\\\\= 40,000 + 90,000 - 120,000cos50^{\circ}\\\\= 130,000 - 120,000 \times 0.64\\\\= 130,000 - 76,800\\\\a^2= 53,200\\\\a = \sqrt{53,200} \\\\= 230.65\ miles\ per\ hour$

Now the distance for one hour is

= 230.65 ÷ 1

= 230.65 miles

4 0

3 years ago

I forgot how to do this

adoni [48]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{1}}}}}$

Step-by-step explanation:

$\sf{ \frac{1}{2} \times 2}$

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

$\dashrightarrow{ \sf{ \frac{1 \times 2}{2 \times 1} }}$

$\dashrightarrow{ \sf{ \frac{2}{2} }}$

$\dashrightarrow{ \sf{1}}$

Or, You can simply reduce the fraction with 2, which results to 1.

Hope I helped!

Best regards! :D

6 0

3 years ago

Find the least common multiple.

vovangra [49]

Answer:

C - 3,600

Step-by-step explanation:

100 16 45 ÷ 2

50. 8. 45 ÷ 2

25. 4. 45 ÷ 2

25. 2. 45. ÷ 2

25. 1. 45. ÷ 3

25. 1. 15. ÷ 3

25. 1. 5. ÷ 5

5. 1. 1. ÷ 5

1. 1. 1

L.C.M = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3, 600

I know this may be confusing but if you don't understand, you're welcome to ask.

7 0

3 years ago

Help 20 points!

balandron [24]

Minor angle, The arc it produces is less than 180 degrees so it is a minor angle

8 0

3 years ago

Read 2 more answers

83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard devi

arlik [135]

Answer:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.525 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.127 \leq \sigma \leq 2.757$

Step-by-step explanation:

Information given

$\bar X=32.1$ represent the sample mean

$\mu$ population mean (variable of interest)

s=2.4 represent the sample standard deviation

n=83 represent the sample size

Confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The degrees of freedom given by:

$df=n-1=8-1=7$

The confidence level is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:

$\chi^2_{\alpha/2}=104.139$

$\chi^2_{1- \alpha/2}=62.132$

The confidence interval is given by:

$\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}$

$4.525 \leq \sigma^2 \leq 7.602$

Now we just take square root on both sides of the interval and we got:

$2.127 \leq \sigma \leq 2.757$

5 0

3 years ago