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3 years ago

Please help me with this

Mathematics

2 answers:

kari74 [83]3 years ago

7 0

Answer:

Step-by-step explanation:

Domain is the set of x-values that can be inputted into function f(x).

We see that our x-values span from -1 to 4. Since -1 is an open dot, it is not included in our domain:

(-1, 4] or -1 < x ≤ 4

iVinArrow [24]3 years ago

7 0

Answer (d) hope this helps!

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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

2 years ago

Scientific notation 0.0094592<br> Scientific notation 0.94592

Elenna [48]

Answer:

9.4592x $10^{-3}$

94592x10^-1

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre

adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = $\sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15$

Thus, the answer is 15 miles.

Hope this helps!

3 0

3 years ago

Read 2 more answers

Trevor took one of his friends out to lunch. The lunches cost $248.40 and he paid 12.5% sales tax. If Trevor left a 15% tip on t

bixtya [17]

He paid ...

-- The cost of the lunches (100% = 1.00 of it)

-- 15% of the cost as a tip (15% = 0.15 of it)

-- 12% of the cost as sales tax (12% = 0.12 of it)

Total that he paid = (1.00 + 0.15 + 0.12) = 1.27 of $248.40

= $315.47 .

Trevor is one generous guy !

4 0

3 years ago

The three sides of a triangle measure 8,10 and 12 units. Is this a right triangle? Prove whether it is or not using the converse

kvasek [131]

Answer:

square of longest side ≠ the sum of the squares of the other two sides

It's not a right triangle

Step-by-step explanation:

The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

square of longest side: 12 12² = 144

the sum of the squares of the other two sides: 8² + 10² = 164

4 0

4 years ago