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Verizon [17]
3 years ago
11

According to the empirical rule, if the data form a "bell-shaped curve" (normal distribution), approximately what percent of the

observations will be contained within + /- 2 standard deviations from the arithmetic mean. (Select the correct answer from the choices below.)A. 99.7B. 95.0C. 75.0D. 68.3
Mathematics
1 answer:
Ann [662]3 years ago
3 0

Answer: B. 95.0

Step-by-step explanation:

In statistics , the famous empirical rule says that " if the data is normally distributed then 68% of the observations will be contained within \pm1 standard deviations from the arithmetic mean, 95% of the observations will be contained within \pm2 standard deviations from the arithmetic mean and 99.7% of the observations will be contained within \pm3 standard deviations from the arithmetic mean".

Hence, B is the correct answer.

You might be interested in
If nine is added eighteen times to a number, the result is 173. What is the number?
fomenos

I believe the answer is 19.1 and then you round it from there. Because 173 is not an even number. Check with someone else though. Hope this helps!
3 0
3 years ago
Read 2 more answers
One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost
zalisa [80]
Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
                           = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.
5 0
4 years ago
HELP ASAP SHOW YOUR WORK AND EXPLAIN HOW YOU GOT YOUR ANSWER-NO LINKS OR JOKING AROUND
Alexxx [7]

Step-by-step explanation:

1) -5x<35

we divide both sides by 5

-5x/5<35/5

-x<7

we divide both sides by-1 to remove the negative sign

-x/-1<7/-1

x<7/-1

2) 2x>-42

we divide both sides by 2

2x/2>-42/2

x>-21

3) x/3≤-7

we multiply by 3 and we cancel 3

3(x/3)≤3(-7) we cancel the 3

x≤-21

4) x/-4≥-4

we do the same thing

x≥1

8 0
3 years ago
20 POINTS
sergey [27]

Solve. Note the equal sign. What you do to one side, you do to the other. Remember to follow PEMDAS.

First, distribute 5 to all terms within the parenthesis

5(w - 1) = (5)(w) + (5)(-1) = 5w - 5

Next, simplify. Combine like terms

5w - 5 - 2 = 5w + 7

5w - 7 = 5w + 7

Next, isolate the variable. Add 7 to both sides, and subtract 5w from both sides

5w (-5w) - 7 (+7) = 5w (-5w) + 7 (+7)

5w - 5w = 7 + 7

0 = 14 (Untrue).

0 solutions, or (A) is your answer

~<em>Rise Above the Ordinary</em>

5 0
3 years ago
Read 2 more answers
Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)
irina1246 [14]

Answer:

Maximize C =9x + 7y

8x + 10y \leq 17

11x + 12y\leq 25

and x ≥ 0, y ≥ 0

Plot the lines on graph

8x + 10y \leq 17

11x + 12y\leq 25

x\geq 0

y\geq 0

So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)

Substitute the points in  Maximize C

At  (0,1.7)

Maximize C =9(0) + 7(1.7)

Maximize C =11.9

At  (2.125,0)

Maximize C =9(2.125) + 7(0)

Maximize C =19.125

At   (0,0)

Maximize C =9(0) + 7(0)

Maximize C =0

So, Maximum value is attained at   (2.125,0)

So, the optimal value of x is 2.125

The optimal value of y is 0

The maximum value of the objective function is 19.125

4 0
3 years ago
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