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2 years ago

Find the principal square root of 14.

Mathematics

1 answer:

Anika [276]2 years ago

5 0

Sqrt14 = 3.74 (2dp)

The principal root is always the positive.

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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

Read more about standard deviation at:

brainly.com/question/15858152

#SPJ1

7 0

1 year ago

Please help!!! This is 12 points!!! I’ll mark brainliest!!!!

Nady [450]

Answer:

x: 23

y: -46

Step-by-step explanation:

so sorry if this is wrong, but i think thats it

6 0

3 years ago

Read 2 more answers

The National Safe Kids Campaign and Bell Sports sponsored a study that surveyed 8,159 children ages 5 to 14 who were riding bicy

Nuetrik [128]

8159 divided by five times two then, divide that by twenty and multiply by 13, The answer is about 2611 kids wore helmets properly while riding bike

8 0

3 years ago

The scatter plot shows the different restaurant servers earned one night. Write an equation in slope intercept

OLga [1]

here is the answer its in the picture and it also has the solution in picture 2

4 0

2 years ago

If f(x) = x + 7 and g(x) = 1 / x - 13, whaf is the domain of (f°g)(x)?

ZanzabumX [31]

Answer: Choice D) x can be anything but 13

========================================================

Explanation:

The domain of $(f \circ g)(x) = f(g(x))$ is the same as the domain of g(x)

The domain for g(x) is $\{x|x \ne 13\}$ saying we can plug in any number we want as long as it's not 13. This is to avoid dividing by zero. The same domain applies for the composite function because

$f(x) = x+7\\\\\\f(g(x)) = g(x)+7\\\\\\f(g(x)) = \frac{1}{x-13}+7\\\\\\(f \circ g)(x) = \frac{1}{x-13}+7\\\\\\$

and we can see that we still need to kick out x = 13 from the domain to avoid the division by zero issue.

6 0

2 years ago