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2 years ago

HELP!!!!

Mathematics

1 answer:

Likurg_2 [28]2 years ago

3 0

Answer:

$(10+2p)/p=((20+0.80p)/p)+1$

Step-by-step explanation:

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Isabella paid one of her bill late and owed a 4% late fee was 780. How much was Isabella's original bill in dollar

Rainbow [258]

You multipy 0.04 x 780

5 0

2 years ago

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

2 years ago

Two people start walking at the same time in the same direction. One person walks at 8 mph and the other person walks at 2 mph.

schepotkina [342]

Time = distance/speed

The distance between the walkers increases at the rate of (8 mph) -(2 mph) = 6 mph. That distance will be 4.5 mi after ...
(4.5 mi)/(6 mi/h) = 4.5/6 h = 3/4 h

In 3/4 hour they will be 4.5 miles apart.

7 0

2 years ago

What number is 1/10 as great as 7962

Sliva [168]

A number 1/10 as great as 7962 would be 796.2

You get this answer by either dividing 7,962 with 10 which gives you 769.2

Or you can multiply 7,962 with 1/10 to get 7,962/10. If you simplify then you get 796 1/5 or 796.2.

8 0

2 years ago

Read 2 more answers

Adela is buying a DVD player on layaway for 210$. If she makes a down payment of 30$ ad pays 15$ each week. How many weeks will

Diano4ka-milaya [45]

Answer:

It will take 12 weeks to pay for the DVD players.

Step-by-step explanation:

Given in the question that,

total cost of DVD bought by Adela = $210

Step 1

Adela makes a down payment of $30

$210 - $30 = $180

Remaining cost = $180

Step 2

Adela pays $15 each week

$15 = 1 week

$180 = ?

$1 = 1 week/15

$180 = 180/15 week

= 12 weeks

7 0

2 years ago