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3 years ago

jane and ben share a lottery win in the ratio 7:3, if Jane's share of the money is $5600, how much does ben recieve

Mathematics

2 answers:

Paha777 [63]3 years ago

5 0

Answer:

Ben's share = $2400

Step-by-step explanation:

Ratio = 7:3

Jane's share = 7x

Ben's share = 3x

7x = 5600

x = 5600/7 = $ 800

Ben's share = 3x = 3*800 = $2400

DIA [1.3K]3 years ago

4 0

Let the Total Amount of money won in Lottery be : L

Given - Jane and Ben share the Lottery in the Ratio 7 : 3

$\implies \mathsf{Jane\;share\;of\;money = \left(\dfrac{7}{7 + 3}\right) \times L}$

$\implies \mathsf{Jane\;share\;of\;money = \dfrac{7L}{10}}$

Given : Jane's share of money is $5600

$\mathsf{\implies \dfrac{7L}{10} = 5600}$

$\mathsf{\implies L = \dfrac{56000}{7}}$

$\mathsf{\implies L = 8000}$

$:\implies$ Total Lottery Money = $8000

$\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{7 + 3}\right) \times 8000}$

$\implies \mathsf{Ben's\;Share = \left(\dfrac{3}{10}\right) \times 8000}$

$\implies \mathsf{Ben's\;Share = \left(3 \times 800\right)}$

$\implies \mathsf{Ben's\;Share = 2400}$

Answer : Ben received $2400

You might be interested in

Suppose we are interested in analyzing the weights of NFL players. We know that on average, NFL players weigh 247 pounds with a

tigry1 [53]

Answer:

$SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58$

$ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073$

$\bar X - ME = 237- 14.073 = 222.927$

$\bar X + ME = 237+ 14.073 = 251.073$

$n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238$

So the answer for this case would be n=238 rounded up to the nearest integer

Null hypothesis: $\mu \geq 247$

Alternative hypothesis: $\mu$

$z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165$

$p_v =P(z$

If we compare the p value and the significance level given $\alpha=0.1$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can't conclude that the true mean is lower than 247 at 10% of significance.

Step-by-step explanation:

For this case we have the following data given:

$\bar X =237$ represent the sample mean

$\sigma = 47$ represent the population deviation

$n =30$ represent the sample size selected

$\mu_0 = 247$ represent the value that we want to test.

The standard error for this case is given by:

$SE= \frac{\sigma}{\sqrt{n}} = \frac{47}{\sqrt{30}}= 8.58$

For the 90% confidence the value of the significance is given by $\alpha=1-0.9 = 0.1$ and $\alpha/2 = 0.05$ so we can find in the normal standard distribution a quantile that accumulates 0.05 of the area on each tail and we got:

$z_{\alpha/2}= 1.64$

And the margin of error would be:

$ME= 1.64 *\frac{\sigma}{\sqrt{n}} = 1.64*\frac{47}{\sqrt{30}}= 14.073$

The confidence interval for this case would be given by:

$\bar X - ME = 237- 14.073 = 222.927$

$\bar X + ME = 237+ 14.073 = 251.073$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

Replacing into formula (b) we got:

$n=(\frac{1.640(47)}{5})^2 =237.65 \approx 238$

So the answer for this case would be n=238 rounded up to the nearest integer

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is lower than 247 pounds, the system of hypothesis would be:

Null hypothesis: $\mu \geq 247$

Alternative hypothesis: $\mu$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{237-247}{\frac{47}{\sqrt{30}}}=-1.165$

P-value

Since is a left tailed test the p value would be:

$p_v =P(z$

Conclusion

5 0

3 years ago

Write in terms of i Simplify your answer as much as possible. square root of -48

grandymaker [24]

The square root of -48 is 2 because 2x2x2x2x2x2x is not -48

7 0

3 years ago

What is the solution to w-11=1.3

trapecia [35]

Simplifying w + -11 = 1.3

Reorder the terms: -11 + w = 1.3

Solving -11 + w = 1.3

Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + w = 1.3 + 11

Combine like terms: -11 + 11 = 0 0 + w = 1.3 + 11 w = 1.3 + 11

Combine like terms: 1.3 + 11 = 12.3 w = 12.3

Simplifying w = 12.3 <--- (Answer)

Happy studying ^-^

7 0

3 years ago

Read 2 more answers

Find the quotient of 812.30 divided by 83. Round to the nearest tenth.

elena-14-01-66 [18.8K]

812.30/83 = 9.78674698.....
Nearest tenth means one number under decimal place so...

812.30/83 ~ 9.8

Explanation: The 9.7... rounded up to 9.8 because the number after the tenths place (in this case the number after the 7) is greater or equal to 5.

7 0

3 years ago

PLEASE ANSWER

Flauer [41]

Answer:

c and d are correct

Step-by-step explanation:

5 0

3 years ago