10 7ths in simplest form?

Zanzabum

Part A
If 2 inches is 25 miles, then you can set up a ratio to find how many inches 60 miles is.
2 inches equaling 25 miles would be 2:25 in a ratio form of inches:miles.
If miles equals 60, then the ratio would be x:60 in inches:miles.
Since both sides must have the same thing done to them, divide 60 by 25 to see how much miles was multiplied by to get to 60, then multiply inches by that to get x.
60 / 25 = 2.4
2 • 2.4 = 4.8
So the answer to part A is 4.8 inches represent 60 miles.

Part B
You can do the same concept for Part B.
1/4 = 0.25
In a ratio of inches:miles, this would be 0.25:x
Since the original ratio is 2:25, you must figure out how many times 1/4 goes into 2.
2 = 2/1 = 4/2 = 8/4
So 1/4 goes into 2, which can be represented by 8/4, 8 times.
This means 2 was divided by 8 to get 0.25.
Now divide 25 by 8 to get x.
25 / 8 = 3.125
So the answer to part B is 3.125 miles are represented by 1/4 inch.

7 0

4 years ago

Simplify <img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20-%2036" id="TexFormula1" title="x^{2} - 36" alt="x^{2} - 36" align="abs

Alexxandr [17]

Answer:

${x}^{2} - 36 \\ = (x + 6)(x - 6)$

Step-by-step explanation:

x^2-36

(x+6) ( x-6)

it's helpful to you

6 0

3 years ago

Read 2 more answers

What is the direct variation equation if y varies directly with x and y = –9 when x = –45?

alekssr [168]

Direct variation equation is y = kx ; k is the constant of variation.

y = -9
x = -45

-9 = k(-45)
-9/-45 = k
1/5 = k

y = 1/5x CHOICE A.

7 0

3 years ago

Find the value of b if ∛b = 2. <br> Question 17 options: <br> A) 4 B) 27 C) 16 D) 8

rusak2 [61]

Answer:

D. 8

Step-by-step explanation:

See the picture for steps

8 0

3 years ago

Read 2 more answers

The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airp

ale4655 [162]

Answer:

$6.26-2.01\frac{2.47}{\sqrt{50}}=5.56$

$6.26+2.01\frac{2.47}{\sqrt{50}}=6.96$

So on this case the 95% confidence interval would be given by (5.56;6.96)

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=6.26$

The sample deviation calculated $s=2.47$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=50-1=49$

Assuming a Confidence of 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$6.26-2.01\frac{2.47}{\sqrt{50}}=5.56$

$6.26+2.01\frac{2.47}{\sqrt{50}}=6.96$

So on this case the 95% confidence interval would be given by (5.56;6.96)

6 0

3 years ago