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3 years ago

What is the equivalent fraction of 60/98

1 answer:

7 0

$\frac{60}{98}=\frac{60:2}{98:2}=\boxed{\frac{30}{49}}\\\\\frac{60}{98}=\frac{60\cdot2}{98\cdot2}=\boxed{\frac{120}{196}}\\\\\frac{60}{98}=\frac{60\cdot3}{98\cdot3}=\boxed{\frac{180}{294}}\\\vdots\\\frac{60}{98}=\frac{60\cdot10}{98\cdot10}=\boxed{\frac{600}{980}}\\\vdots$

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It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate

Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

$\sigma^2 = 484\\\sigma =\sqrt{484} = 22$

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

$E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get

$E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373$

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0

3 years ago

0.3(4+8)/-0.1+5/(9.2+13.2) HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

aleksklad [387]

0.3(4+8)/-0.1+5/(9.2+13.2)= -35.7767857143

8 0

2 years ago

Select the expression that shows the application of the distributive property for

sergeinik [125]

Answer:

c. 9t+45 that shows distributive property

where it shows a*(b+c)=(a*b)+(b*c).so,9(t+5)=9*t+9*5

8 0

2 years ago

The area of rectangular is 64m the length of the pool is 12 m less that the width .The situation can be represented by the equat

beks73 [17]

Answer:

Width = 16 m

Length = 4 m

Step-by-step explanation:

The area of rectangular is 64m² the length of the pool is 12 m less that the width . The situation can be represented by the equation x

Area of a rectangle = Length × Width

L = W - 12

Hence:

64 = (W - 12) × W

64 = W² - 12W

W² - 12W - 64 = 0

Factor using

(W + 4)(W - 16) = 0

Width = 16m

Length = W - 12

Length = 16 m - 12 m

= 4 m

6 0

3 years ago

Andrea is buying a car for $21,450 she will finance $16,450 of it with a 5 year loan at 2.9% apr what will her monthly auto paym

Pani-rosa [81]

Answer:

Option A- 294.85

Step-by-step explanation:

Given : Andrea is buying a car for $21,450 she will finance $16,450 of it with a 5 year loan at 2.9% APR.

To find : The monthly auto payment.

Solution : From the table we get that monthly car loan payment per $1000 borrowed when interest rate is 2.9% on a 60 month loan is

Monthly car loan payment per $1000 borrowed is $17.924

Per $1000 the finance is $A=\frac{16450}{1000}=\$16.45$

Monthly payment = Monthly car loan × Finance

$17.924\times 16.45=\$294.8498$

Therefore, Option A is correct.

The Monthly payment is $294.85.

3 0

3 years ago