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1 year ago

What is the product of the reciprocal of 6 and the reciprocal of 7?

Mathematics

2 answers:

Anna35 [415]1 year ago

6 0

Answer:

$\boxed {\frac{1}{42}}$

Step-by-step explanation:

Reciprocal of 6 : 1/6

Reciprocal of 7 : 1/7

Their product :

1/6 × 1/7
1/42

olga_2 [115]1 year ago

4 0

Answer:

The answer is 1/42 as you take reciprocal of 6=(1/6) and reciprocal of 7=(1/7) and multiply.

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What number are listed in the stem and leaf plot above

Paul [167]

The numbers listed are:

3, 3 ,3 ,7 ,8 ,8 ,11 ,11 ,13 ,14 ,15 ,17, 18, 19, 21, 23, 23 ,25,27, 28, and 29.

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3 years ago

Two trapezoids below are similar what is the length of RS?

stepladder [879]

9514 1404 393

Answer:

11.5 m

Step-by-step explanation:

The fact that the figures are similar means the side lengths are proportional:

RS/QT = BC/AD

RS/(7 m) = (2.3 m)/(1.4 m)

RS = (7 m)(2.3/1.4) . . . . . . multiply by 7 m

RS = 11.5 m

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2 years ago

What is an equation of the line with slope 3/2 and y-intercept −1?

Yuliya22 [10]

Answer:

Aloha,

Hope you are having a wonderful day, y=1.5x-1 is your answer. Hope this helps.

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3 years ago

Read 2 more answers

8. Solve the measurement conversion problem. 8 ounces=1cup. Multiply 24x4 then convert to cups

taurus [48]

I believe the answer is D

Because 24x4 is 96

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2 years ago

Read 2 more answers

1) Lithium isotope rations are important to medicine, the 6Li/7Li ratio in a standard reference material was measured several ti

uysha [10]

Answer:

1) $0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

b) $ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

Step-by-step explanation:

Information given

0.082601, 0.082621, 0.082589, 0.082617, 0.082598

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=0.0826052$ represent the sample mean

$\mu$ population mean

s=0.000013424 represent the sample standard deviation

n=5 represent the sample size

Part 1

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom, given by:

$df=n-1=5-1=4$

The Confidence level is 0.95 or 95%, and the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , the critical value would be using the t distribution with 4 degrees of freedom: $t_{\alpha/2}=2.776$

Now we have everything in order to replace into formula (1):

$0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

Part 2

The original margin of error is given by:

$ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

3 0

3 years ago