If a company has 245 shares of common stock and 275000 To be distributed to its holders, how many would Each share receive

What is the area of the trapezoid showroelow? 7 25 4.

Irina-Kira [14]

I wish I knew this one also

6 0

2 years ago

Help please!!!!!! And explain ur answer.. I will mark as BRAINLIEST.

Musya8 [376]

Answer:

The total earning of commission on sales of 85, 000 will be:

$3500+1050=4550$

Step-by-step explanation:

Total sales earning = 85,000

As salesperson earns 5% commission the first 70,000.

$\frac{5}{100}\:\times \:70\:000=3500$

As the salesperson earns 7% commission on the sales over 70,000.

As 15000 is the sales earning on which he will get commission 7%.

Because

85,000 - 70,000 = 15000

So the 7% earning of salesperson will on 15000 will be:

$\:\frac{7}{100}\:\times \:15\:000=1050$

Therefore, the total earning of commission on sales of 85, 000 will be:

$3500+1050=4550$

8 0

3 years ago

Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute in

Alborosie

Answer:

a) Null hypothesis: $p\geq 0.53$

Alternative hypothesis: $p < 0.53$

b) $z=\frac{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429$

$p_v =P(Z$

c) So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

$\hat p=0.46$ estimated proportion of American families owning stocks or stock funds

$p_o=0.53$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

Part a

We need to conduct a hypothesis in order to test the claim that proportion is less than 0.53 or 53%.:

Null hypothesis: $p\geq 0.53$

Alternative hypothesis: $p < 0.53$

Part b

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

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

$p_v =P(Z$

Part c

So the p value obtained was a very low value and using the significance level given $\alpha=0.01$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .

7 0

3 years ago

A worker at a snack stand opened a new box of cups. On the first day, the worker used 30 cups from the box. On the second day, t

Solnce55 [7]

Answer:

630 cups

Step-by-step explanation:

Percentages

This problem is most easily solved backward, i.e., from the final data up to the beginning.

There was a new box of cups and the worker at a snack stand opened it. He first used 30 cups from the box and the second day he uses 15% of the remaining cups in the box, and we are told that represents 90 cups.

If 15% (0.15) equals 90 cups, then the number of cups before the second day was 90/0.15 = 600 cups.

On the first day, we used 30 cups, thus the original number of cups in the box was 600+30=630 cups

7 0

3 years ago

Lucy studies 1 hour less than twice the number of hours a week that rose studies. Lucy studies for 11 hours a week. How many hou

Lana71 [14]

Answer:

6.

Step-by-step explanation:

Lucy studies one less (-1) than twice the number of hours a week that rose studies (2 * R), lucy studies 11 hours a week. What we do is add 1 hour to lucy's 11, to get 12, then divide by 2 as lucy studies twice the hours. 12 / 2 = 6.

3 0

3 years ago

Read 2 more answers