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2 years ago

Divide 30 in the ratio of 2 : 4

1 answer:

8 0

60 because 2:4 is 1/2, and when you divide by a fraction, you multiply by the reciprocal (2/1 instead of 1/2) which would be 60 in this case.

You might be interested in

The label on a can of lemonade gives the volume of 12 fl oz. or 355 mL. Verify that these two measurements are nearly equivalent

babymother [125]

The label on a can of lemonade gives the volume as 12 fl oz , or 355 ml .verify that these two measurements are nearly equivalent

5 0

3 years ago

Point A is located at (2, 6), and D is located at (−4, 10). Find the coordinates of the point that lies halfway between A and D.

valina [46]

$(( \frac{1}{2} (( - 4) - 2) + 2and( \frac{1}{2} (10 - 6)) + 6$
the answer is(-1,8)

8 0

2 years ago

Read 2 more answers

Please help on one math question

kipiarov [429]

Hello from MrBillDoesMath!

Answer:

225

Discussion:

Sum ( 2n - 1) from n = 1 to 15

= Sum(2n) - Sum(1) from n = 1 to 15

= 2 Sum(n) - Sum(1) from n = 1 to 15

= 2* 15(15+1)/2 - (1 + 1 + .. + 1)

The first value comes from the fact that the sum of the first n integers is n(n+1)/2. The latter value sums 15 1's.

= 2 * 15 * 16/2 - 15 => 2/2 = 1

= 15*16 - 15 => 15*16 = 240

= 240 - 15

= 225

Thank you,

MrB

6 0

3 years ago

Read 2 more answers

A rectangular board is 1300 millimeters long and 800 millimeters wide. What is the area of the board in square meters?

hichkok12 [17]

Multiply 1300 mm by 800 mm to get 1040000 mm. Then convert this to meters. 1 meter=1000 mm. Therefore, 1040000 mm is the same as 1040 meters.

3 0

3 years ago

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds. Find the te

vredina [299]

Answer:

b. 2.333

Step-by-step explanation:

Test if the mean transaction time exceeds 60 seconds.

At the null hypothesis, we test if the mean transaction time is of 60 seconds, that is:

$H_0: \mu = 60$

At the alternate hypothesis, we test if it exceeds, that is:

$H_1: \mu > 60$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

60 is tested at the null hypothesis:

This means that $\mu = 60$

A sample of 16 ATM transactions shows a mean transaction time of 67 seconds with a standard deviation of 12 seconds.

This means that $n = 16, X = 67, s = 12$

Value of the test statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{67 - 60}{\frac{12}{\sqrt{16}}}$

$t = \frac{7}{3}$

$t = 2.333$

Thus, the correct answer is given by option b.

5 0

2 years ago