All categories

3 years ago

Share $600 between Anna and Raman in the ratio 3:7 and 1:4

Mathematics

1 answer:

Ulleksa [173]3 years ago

8 0

Answer:

3 : 7 =>

Anna = $180

Raman = $420

1 : 4 =>

Anna = $120

Raman = $480

Step-by-step explanation:

Shares when ratio is 3 : 7

Anna : Raman = 3 : 7

Sum of ratio 10

Anna's share=

$\frac{3}{10} \times 600 = \$ 180$

Raman 's share=

$\frac{7}{10} \times 600 = \$ 420$

Shares when ratio is 1 : 4

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

$\frac{1}{5} \times 600 = \$ 120$

Raman's share =

$\frac{4}{5} \times 600 = \$ 480$

You might be interested in

What is the probability (rounded to the nearest whole percent) that a randomly selected gym member would buy grape vitamin water

joja [24]

11% hands down people

6 0

3 years ago

Amelia can do 5 sit-ups. Her go is to increase to 50 sit-ups by adding 5 more sit-ups to her training schedule each week. Amelia

Mademuasel [1]

Answer:

10 weeks

Step-by-step explanation:

5 0

3 years ago

Suppose that a wall is constructed from concrete blocks where a block is a normal random variable with mean 11 kg and standard d

Artemon [7]

Answer:

The value for k is about k = 11.093kg.

Step-by-step explanation:

To answer this question, that is, P(x<k) = 0.85, we can use the standardized value for a raw score, or the formula for obtaining z-scores:

$\\ z = \frac{x - \mu}{\sigma}$ [1]

Where

$\\ x$ is the raw score.

$\\ \mu$ is the population mean.

$\\ \sigma$ is the population standard deviation.

In this case, we are asking to find a value x = k, so that 85% of the blocks have weights less than k (kg).

We have also to use the values for the cumulative standard normal distribution with $\\ \mu = 0$ and $\\ \sigma = 1$ to find the value of z that corresponds to a probability of 0.85.

First step: find the z that corresponds to the probability of 0.85.

To use the formula [1], as we previously mentioned, we first need to find the value of z that corresponds to a probability of 0.85 using the cumulative standard normal distribution table (available in any Statistics books or on the Internet). Then, for a cumulative probability of 0.85, the corresponding value for z = 1.03 (approximately).

Second step: solve the formula [1] for x.

Solving this formula for x, we have:

$\\ z = 1.03$