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3 years ago

What is 3/8 plus 1/12

1 answer:

5 0

first what you have to do you have to find the common denominator which is 24
it's 24 because 8 times 3 equals 24 and 12 times 2 equals 24 so they have a like denominator so what you have to do to the bottom you have to do to the top so 8 times 3 is 24 so 3 times 3 is 9 so the new fraction is 9/24. Then 1/12 12×2=24 and 1×2= 2 so the new fraction is 2/24. that would leave you with the problem of 9/24 + 2/24 which is 11/ 24

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Hannah rolls two number cubes with the numbers 55536 6 on each what is the probability that she rolled two numbers with an even

Jet001 [13]

5/9

Using a table of outcomes, you can see that 20 of the possible 36 outcomes are even totals. Simplify for the 5/9 or roughly 56%

6 0

3 years ago

What is the remainder when x 3 - 7x - 6 is divided by the linear factor x - 4? 4

mart [117]

Hello,

P(x)=x^3-7x-6

P(4)=4^3-7*4-6=30
Remainder=30

6 0

3 years ago

Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American a

spin [16.1K]

Answer:

$Mean = 68.9$

$s^2 =18.1$ --- Variance

Step-by-step explanation:

Given

$\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

$x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5$

For 59 - 66

$x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5$

For 67 - 74

$x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5$

For 75 - 82

$x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5$

For 83 - 90

$x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5$

So, the table becomes:

$\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}$

The mean is then calculated as:

$Mean = \frac{\sum fx}{\sum f}$

$Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}$

$Mean = \frac{2547.5}{37}$

$Mean = 68.9$ -- approximated

Solving (b): The sample variance:

This is calculated as:

$s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}$

So, we have:

$s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}$

$s^2 =\frac{652.8}{36}$

$s^2 =18.1$ -- approximated

5 0

2 years ago

Unscramble the place value.write three forms of number 9 hundreds+4ten thousands+8 ones+7 tens

liubo4ka [24]

40,978 would be the answer hope it helped!

3 0

3 years ago

Read 2 more answers

A car increased price by 3/4. after the increase it was priced at £84 what was the original price???

olga55 [171]

Answer: I think this is how we do it but i am not sure the answer is 48

Step-by-step explanation:

if the price increase by 3/4 then that mean it total will be 7/4 as 4/4 is it original price add so 7/4=84/x 84x4 is 336 336 divide by 7 is 48 to check 48 x 7/4 or 48 x 3/4 and add 48 if u math is correct than u should get 84

6 0

3 years ago