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3 years ago

What is the answer to -4/3 / -1/4?

Mathematics

1 answer:

CaHeK987 [17]3 years ago

4 0

<h3>Answer:</h3>

$\frac{16}{3}$

Step-by-step explanation:

$\frac{ \frac{ - 4}{3} }{ \frac{ - 1}{4} }$

➡️ $\frac{ \frac{4}{3} }{ \frac{1}{4} }$

➡️ $\frac{4}{3} \div \frac{1}{4}$

➡️ $\frac{4}{3} \times 4$

➡️ $\frac{4 \times 4}{3}$

➡️ $\frac{16}{3}$

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The manager of a bank recorded the amount of time each customer spent waiting in line during peak business hours one Monday. The

zavuch27 [327]

The standard deviation of the frequency distribution is 5.54

<h3>How to determine standard deviation?</h3>

The table of values is given as:

x f(x)

0-3 13

4-7 13

8-11 10

12-15 11

16-19 0

20-23 3

Rewrite the table by calculating the class midpoints:

x f(x)

1.5 13

5.5 13

9.5 10

13.5 11

17.5 0

21.5 3

Start by calculating the mean using:

$\bar x = \frac{\sum fx}{\sum f}$

This gives

$\bar x = \frac{1.5 * 13 + 5.5 * 13 + 9.5 * 10 + 13.5 * 11 + 17.5 * 0 + 21.5 * 3}{13 + 13 + 10 + 11 + 0 +3}$

Evaluate

$\bar x = 7.98$

The standard deviation is then calculated as:

$\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f }}$

So, we have:

$\sigma= \sqrt{\frac{13 * (1.5 - 7.98)^2 + 13 * (5.5 - 7.98)^2 + (9.5 - 7.98)^2 * 10 + (13.5 - 7.98)^2 * 11 + (17.5 - 7.98)^2 * 0 + (21.5 - 7.98)^2 * 3}{13 + 13 + 10 + 11 + 0 +3}}$

Evaluate

$\sigma= \sqrt{30.6496}$

Solve

$\sigma= 5.54$

Hence, the standard deviation is 5.54

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7 0

2 years ago

The image of the point (-6, -2)under a translation is (−7,0). Find the coordinates of the image of the point (7,0) under the sam

lesya692 [45]

Answer:

hello : solutio ( 6 ; 2)

Step-by-step explanation:

the translation is : x' = x + a ....(*)

y' = y + b ...(**)

calculate the coordinates ( a ; b) of vectro by the translation

you have : x' = -7 y' = 0 x = -6 y = -2

Substitute in (*) , (***) : -7 = -6 +a

0 = - 2 + b

a = -1 and b= 2

so : x' = x - 1

y' = y + 2

calculate now the coordinates of the image of the point (7,0) under the same translation.

x = 7 and b = 0

so : x' = 7-1 = 6 and y' = 0 + 2 = 2

the image is : ( 6 ; 2 )

4 0

3 years ago

beginning in 1996, a glacier lost an average of 3.7 meters of thickness each year. find the total change in its thickness by the

NemiM [27]

The answer I got was 59.2
How I got it was that I counted how many years it was I got 16 years multiplied it by 3.7 and got 59.2

5 0

3 years ago

Which choice most effectively combines the

Thepotemich [5.8K]

The Choice D is the best answer by the passage because it most clearly and concisely combines the sentences using the correct punctuation. This choice eliminates unnecessary words, and the commas are placed correctly between the clauses.

According to the statement

we have to find that the out of given options which is correct for replace the words in the passage.

So, For this purpose, we know that the

In the passage ,

Choice A is incorrect because the phrase “the result being that it” is wordy and could be replaced with the single word “which.” Choice B is incorrect because the words “algal blooms cause oxygen depletion” need not be repeated. Choice C is incorrect because there is unnecessary repetition of the words “oxygen depletion” and “algal blooms.”

So, The Choice D is the best answer by the passage because it most clearly and concisely combines the sentences using the correct punctuation. This choice eliminates unnecessary words, and the commas are placed correctly between the clauses.

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7 0

1 year ago

How do you do number 1?<br>Whenever I tried to answer it, I always get fraction. help me.

Flura [38]

Answer:

The pairs are (13,15) and (-15,-13).

Step-by-step explanation:

If n is an odd integer, the very next odd integer will be n+2.

n+1 is even (so we aren't using this number)

The sum of the squares of (n) and (n+2) is 394.

This means

(n)^2+(n+2)^2=394

n^2+(n+2)(n+2)=394

n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2

Combine like terms:

2n^2+4n+4=394

Subtract 394 on both sides:

2n^2+4n-390=0

Divide both sides by 2:

n^2+2n-195=0

Now we need to find two numbers that multiply to be -195 and add up to be 2.

15 and -13 since 15(-13)=-195 and 15+(-13)=2

So the factored form is

(n+15)(n-13)=0

This means we have n+15=0 and n-13=0 to solve.

n+15=0

Subtract 15 on both sides:

n=-15

n-13=0

Add 13 on both sides:

n=13

So if n=13 , then n+2=15.

If n=-15, then n+2=-13.

Let's check both results

(n,n+2)=(13,15)

13^2+15^2=169+225=394. So (13,15) looks good!

(n,n+2)=(-15,-13)

(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!

6 0

3 years ago