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xeze [42]
4 years ago
14

Convert 2 3/7 to an improper fraction​

Mathematics
1 answer:
White raven [17]4 years ago
6 0

Answer:The mixed number 2 3/7 can be converted to the improper fraction 17/7. The easiest way to do this is to multiply the denominator of the fraction (7 in...

Step-by-step explanation:

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For an arithmetic sequence,first term is 2 and the common difference is 3 find the sum of the first 11
romanna [79]

Answer:

35

Step-by-step explanation:

by adding three to the next number each time, the answer is 35

6 0
3 years ago
Use the sample data and confidence level given below to complete parts​ (a) through​ (d). A drug is used to help prevent blood c
Alla [95]

Answer:

a) \hat p=\frac{148}{4167}=0.036

b) 0.0355 - 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.030

0.0355 + 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.041

Step-by-step explanation:

The sample proportion have the following distribution

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Part a

The estimated proportion for this case can be calculated like this:

\hat p=\frac{148}{4167}=0.036

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

Replacing we got:

0.0355 - 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.030

0.0355 + 1.96\sqrt{\frac{0.036(1-0.036)}{4167}}=0.041

8 0
4 years ago
Find the measure of each angle indicated and show work please (HELP PLEASE NEED SOON)
KatRina [158]

Answer:

the correct answer is :110°

Step-by-step explanation:

180 - (45 +65) = 70

180 - 70 =110

8 0
3 years ago
Little Equipment for Hire is a subsidiary in the Giant Machinery and currently under the liquidation plan due to the severe cont
KATRIN_1 [288]

Complete Question:

The Giant Machinery has the current capital structure of 65% equity and 35% debt. Its net income in the current year is $250 000. The company is planning to launch a project that will requires an investment of $175 000 next year. Currently the share of Giant machinery is $25/share. Required: a. How much dividend Giant Machinery can pay its shareholders this year and what is dividend payout ratio of the company. Assume the Residual Dividend Payout Policy applies? b. If the company is paying a dividend of $2.50/share and tomorrow the stock will go ex-dividend. Calculate the ex-dividend price tomorrow morning. Assuming the tax on dividend is 15%? c. Little Equipment for Hire is a subsidiary in the Giant Machinery and currently under the liquidation plan due to the severe contraction of operation due to corona virus. The company plans to pay total dividend of $2.5 million now and $ 7.5 million one year from now as a liquidating dividend. The required rate of return for shareholders is 12%. Calculate the current value of the firm’s equity in total and per share if the firm has 1.5 million shares outstanding?

Answer:

a) Total dividend for the current year = $136,250

Dividend Payout Ratio = 0.545

b) Ex-dividend price = $22.875

c) Total current value = $9,196,428.57

Current value per share = $6.13

Step-by-step explanation:

a) Equity = 65%

Debt = 35%

Net Income for year 0 = $250,000

proposed Investment for year 1= $175,000

Current price = $25/share

Tax on dividend = 15%

Total dividend for year 0 = 250000 - (65% of 175000)

Total dividend for year 0= 250000 - 113750

Total dividend for the current year = $136,250

Dividend Payout Ratio = total dividends/ total earning

Dividend Payout Ratio = 136250/250000

Dividend Payout Ratio = 0.545

b) Dividend = $2.5/ share

Ex-dividend price = current price - Dividend * (1-tax on dividend)

Substituting the appropriate values:

Ex-dividend price = 25 - 2.5 * (1-15%)

Ex-dividend price = 25 - 2.125

Ex-dividend price = $22.875

c) Current value of the firm = Dividend paid in year 0 + (Dividend to be paid in year 1/discount rate)

Dividend paid in year 0 = $2,500,000

Dividend to be paid in year 1 = $7,500,000

Discount rate = 12%

Total current value = 2,500,000 + (7,500,000 / 1.12)

Total current value = $9,196,428.57

Numbe of shares = 1,500,000

Current value per share = Total current value / number of shares

Current value per share = 9,196,428.57/1,500,000

Current value per share = $6.13

7 0
3 years ago
The youth center needs to buy 50 tennis balls. They come in cans that hold 6 balls each. How many complete cans of tennis balls
lara [203]

Answer:

9 complete cans

Step-by-step explanation:

50/6=8 remainder of 2

8 is not enough, they need 9                         o                                                                                          

8 0
4 years ago
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