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3 years ago

What is 3 3/8 X 4 1/3 express answer in simplest form thanks in advance

2 answers:

8 0

So First, We Need To Convert THem To Improper Fractions. 3 And 3/8 Becomes 27/8 And 4 And 1/3 Becomes 13/3. Now, We Just Multiply. 27*13 =351 And 3*8 = 24. This Means The Fraction Is 351/24.

notka56 [123]3 years ago

7 0

Simple....

so you have...

$3 \frac{3}{8} *4 \frac{1}{3}$

To change these fractions into improper fractions to be able to multiply...first..

Multiply the whole number*denominator..

then, add the number you got+the numerator...

and use the original denominator..as the denominator...

3*8=24

24+3=27

$\frac{27}{8}$

and...

4*3=12

12+1=13

$\frac{13}{3}$

Now, you can multiply...

$\frac{27}{8} * \frac{13}{3}$

27*13=351

and

8*3=24

Thus, $\frac{351}{24}$

It can be converted to decimal form...

14.625

Or, mixed number form...
$14 \frac{5}{8}$

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3 years ago

here is an inequality 2x + 5 > 50 explain the steps you would use to solve the equation for x what would the graph look like

Hatshy [7]

Answer:

$x>22.5$

Step-by-step explanation:

Given linear inequality:

$2x+5>50$

Solving for $x$

Subtracting both sides by 5.

$2x+5-5>50-5$

$2x>45$

Dividing both sides by 2.

$\frac{2x}{2}>\frac{45}{2}$

∴ $x>22.5$

The graph of the inequality is shown below.

The line is represented by dotted line because the inequality sign is only greater than which means 22.5 is not included in the solution.

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3 years ago

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

Kruka [31]

Answer:

$6.76-2.01\frac{2.55}{\sqrt{50}}=6.03$

$6.76+2.01\frac{2.55}{\sqrt{50}}=7.49$

The 95% confidence interval would be given by (6.03;7.49)

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n=50 represent the sample size

Solution

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

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

We can 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 $\bar X=6.76$

The sample deviation calculated $s=2.55$

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

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

We assume a standard confidence level 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 tabel to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$