Averages Question please help!

10 3/9- 10 2/5 Im to lazy to do it please help me out.

coldgirl [10]

Answer:

$\boxed{ \ - \frac{3}{45} }$

Step-by-step explanation:

10 3/9 - 10 2/5

we need to convert mixed fractions to improper fractions

$10 \frac{3}{9} = \frac{10 \times 9 + 3}{9} = \frac{93}{9}$

$10 \frac{2}{5} = \frac{10 \times 5 + 2}{5} = \frac{52}{5}$

Now, we have 93/9 - 52/5

We need to equate the denominators, before subtracting them.

$\frac{93}{9} - \frac{52}{5} = \frac{93 \times 5}{45} - \frac{52 \times 9}{45}$

$\frac{465}{45} - \frac{468}{45}$

$\frac{ - 3}{45}$

$\boxed{ - \frac{3}{45} }$

The result of 10 3/9- 10 2/5 is - 3/45

8 0

1 year ago

QUESTION : A family of four went out to dinner. Their bill came to $156.98 and they want to leave a 15% tip. How much the tip wi

Rama09 [41]

Answer:

tip = $23.55

Step-by-step explanation:

156.98 x 0.15 = 23.55

4 0

2 years ago

Simplify the expression 5^3 x 5^-5

kotykmax [81]

Answer:

$\frac{1}{5^2}$ --- 1 over 5 squared

Step-by-step explanation:

When multiplying terms with a common base, you just add the exponents:

$x^a\times x^b=x^{a+ b}$

That's true even when you don't have any exponents.

$5\times5=5^1\times5^1=5^{1+1}=5^2=25$

$\rightarrow5^3\times5^{-5}\\\rightarrow5^{3-5}\\\rightarrow5^{-2}$

A negative exponent isn't fully simplified, so there's another rule to use:

$x^{-y}=\frac{1}{x^y}$

That is '1 over x to the y' if it's too small to read.

$\rightarrow5^{-2}=\frac{1}{5^2}$

4 0

2 years ago

Read 2 more answers

Media experts claim that daily print newspapers are declining because of Internet access. Listed below, from left to right and

yKpoI14uk [10]

Answer:

(a) The median is 1478

(b) Null hypothesis H₀ : μ₁ = μ₂

Alternative hypothesis Hₐ : μ₁ > μ₂

(c) The test statistic $t_{\alpha/2}$ is 6.678155

(d) The p value is 1.2×10⁻¹¹

(e) We reject our null hypothesis H₀. In terms of the test, there is sufficient evidence to suggest that there is a trend in the numbers of daily newspaper because the probability for a decrease in the numbers is very high

Step-by-step explanation:

(a) Here we have the data as follows;

1623 1586 1574 1554 1544 1531 1519 1513 1491 1484 1478 1471 1458 1456 1458 1453 1438 1428 1405 1395 1377

The median is = 1478

Therefore we have above the median

1623 1586 1574 1554 1544 1531 1519 1513 1491 1484

The mean, $\bar{x}_{1}$ = 1541.9

Standard deviation, σ₁ = 41.38224257

n₁ = 10

Below the median

1471 1458 1456 1458 1453 1438 1428 1405 1395 1377

The mean, $\bar{x}_{2}}$ = 1433.9

Standard deviation, σ₂ = 30.04812806

n₂ = 10

(b) Null hypothesis H₀ : μ₁ = μ₂

Alternative hypothesis Hₐ : μ₁ > μ₂

(c) The formula for t test is given by;

$t_{\alpha/2} =\frac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}$

df = 10 - 1 = 9, α = 0.05

Therefore, the test statistic $t_{\alpha/2}$ = 6.678155

(d) The p value from statistical relations is Probability p = 1.2×10⁻¹¹

Critical z at 5% confidence level = 1.645

Since P << 0.05, e reject the

(e) Therefore, we reject our null hypothesis H₀. In terms of the test, there is sufficient evidence to suggest that there is a trend in the numbers of daily newspaper because the probability for a decrease in the numbers is very high.

5 0

3 years ago

If (h + h) · (h. h) = 16, find the value of h.<br> — HELP ME PLEASEEEE

yKpoI14uk [10]

Answer:

h = 2

Step-by-step explanation:

I'm assuming your periods are multiplication signs.

(h + h) X (h X h) = 16

When adding two variables like the first set of parentheses, it would become 2h. When multiplying two like variables, you add the exponents. h is the same as writing h¹. So h¹ x h¹ gives you the answer of h².

So now your equation would look like:

2h X h² = 16

As above, when you multiply two like variables you would add the exponents. Also if any number are in front of the variable you would multiply those numbers. So you have 2h¹ x 1h² and that would be 2h³. If it had been

2h¹ x 2h², your answer would have been 4h³.

But so far you have 2h¹ x 1h² = 16

2h³ = 16

Dividing both sides by 2 you get

h³ = 8

To find h you have to take the cubed root of 8. What number multiplied by itself 3 times gives you 8? 2 x 2 x 2 = 8 2 x 2 = 4 and x 2 = 8.

h = 2

If you put this into the original equation you have:

(2 + 2) x ( 2 x 2) = 16

( 4 ) x ( 4 ) = 16

7 0

2 years ago