MATHEMATICS COLLEGE

Write the ratio in fractional notation in lowest terms. 28 inches to 42 inches

Answers

Answer 1

Answer:

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

42 ÷ 7 = 6

We now have 4/6.

We now reduce 4/6.

4 ÷ 2 = 2

6 ÷ 2 = 3

Final answer: 2/3

Related Questions

Yan is climbing down a ladder. Each time he descends 4 rungs on the ladder, he stops to see how much farther he has to go. If Yan made 8 stops with no extra steps, which expression best shows another way to write the product of the number of ladder rungs that Yan climbed? A: 4+4+4+4B: 8+8+8+8C: (-1)(4+4+4+4)D: (-8)+(-8)+(-8)+(-8)
1) How do you describe Ana in the selection?
Choose the missing number. 36 x ____ = 7,200
Add (do not round): 10.6 + 6 + 2.09 =Help please
Simplify the polynomial

A new homeowner is mulching a flower bed in his back yard. The flower bed is 9 feet long and 3.5 feet wide. How many square feet will be needed to cover it in mulch?

Answers

Answer:

31.5ft²

Step-by-step explanation:

Formula for area:

Area = Length * Width

Calculate area by substituting in known values

Area = 9 * 3.5

Area = 31.5ft²

31.5ft²

Hope this helps :)

In a random sample of 500 college students, 23% say that they read or watch the news every day. Develop a 90% confidence interval for the proportion of all students who read or watch the news on a daily basis. Interpret your results. If you wanted to develop a 95% confidence interval with a margin of error of .01, how many students would need to be surveyed?

Answers

Answer:

The 90% confidence interval is $0.199 < p < 0.261$

The sample size to develop a 95% confidence interval is $n = 2032$

Step-by-step explanation:

From the question we are told that

The sample size is n =500

The sample proportion is $\^ p = 0.23$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $(\alpha )/(2)$ is

$Z_{(\alpha )/(2) } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{(\alpha )/(2) } * \sqrt{(\^ p (1- \^ p))/(n) }$

=> $E = 1.645 * \sqrt{(0.23 (1- 0.23))/(500) }$

=> $E = 0.03096$

Generally 90% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.23 -0.03096 < p < 0.23 + 0.03096$

=> $0.199 < p < 0.261$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $(\alpha )/(2)$ is

$Z_{(\alpha )/(2) } = 1.96$

The margin of error is given as $E = 0.01$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{(\alpha )/(2) }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [(1.96 )/(0.01) ]^2 *0.23 (1 - 0.23 )$

=> $n = 2032$

400 reduced by twice my age is 68 how old am i

Answers

hope it helps.........

QuestionEnter the exponential function using t (for time) as the independent variable to model the situation. Thenfind the value of the function after the given amount of time.A new savings account is opened with $400 and gains 3.5% yearly for 5 years.The exponential function that models the situation is y = MyAfter 5 years, the savings account has $

Answers

Since, it is an exponential function, thus this is a compound interest problem;

Where; the function is given as;

$\begin{gathered} A(t)=P(1+r)^t \n \text{Where A(t)= amount in the savings account at a time t} \n P=ca\text{ pital invested} \n r=\text{rate } \n t=\text{ time} \end{gathered}$

Thus, the function required is;

$\begin{gathered} A(t)=400(1+(3.5)/(100))^t \n A(t)=400(1.035)^t \end{gathered}$ $\begin{gathered} y=400(1.035)^t \n \text{Where t is the time} \end{gathered}$

After 5 years,

$\begin{gathered} A(5)=400(1.035)^5 \n A(5)=400(1.1877) \n A(5)=475.07 \end{gathered}$

The amount in the savings account after five years is $475.07

Find domain and range of y=x+3

Answers

Answer:

The domain is all real numbers and the range is all real numbers

Step-by-step explanation:

The distance travel on the x-axis, you will travel on the complete axis so the answer to the domain is all real numbers. For the range, the distance travel on the y-axis, you travel on the complete axis so the answer is all real numbers.

Simplify The square root of 5 (6-4 the square root of 3)

Answers

Answer:

7.75

Step-by-step explanation:

6-4=2

2 times the square root of 3=3.46410161514

square root of 5 times 3.46410161514=7.74596669242

to 2dp=7.75

Other Questions

2 3/4 divided by 4 1/8 in fraction form

The owner of a construction company buys cement in bulk. He recently paid $600.00 for 6 tons of cement. How much did he pay per pound? (1 ton = 2,000 lbs.)$0.05 per pound$0.30 per pound$0.50 per pound$100.00 per pound

use the exact value of cos 11pi/6 and the half-angle identity for sine to find the exact value of sin 11pi/12

50 POINTS.Tell whether the ordered pairs is a solution of the system of linear inequalities. 4. (8, −2); y −68. (1, 3);2x + y −4, 3x − y ≤ 3