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Viefleur [7K]
3 years ago
6

The mean and standard deviation of a normal distribution are 150 and 12 respectively. What percentage of values lie between:

Mathematics
2 answers:
Semenov [28]3 years ago
8 0

Answer:

Step-by-step explanation:

Use a calculator with built-in statistical functions.  The function applying here is normcdf(, the "cumulative density function."  

(a) The percentage of values lying between 138 and 162 is

norm(138,162, 150, 12), which comes out to 0.683, or 68.3%.

(b)  Find norm(126, 174, 150,12):  0.945, or 94.5%

(c)  Find norm(126,162, 150,12);  0.819, or 81.9%

(d) Find norm(162, 174,150,12):  0.136, or 13.6%

Lana71 [14]3 years ago
5 0
The answer would be d
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11. Jeff is taking his family and friends to the movies. Adult tickets, a, are $8 and child
bezimeni [28]

Answer:

there are 3 adults and 8 children

Step-by-step explanation:

8*3 (3=Adults)=$24

5*8 (8 children)=$40

24+40=$64

7 0
3 years ago
f(x) = 2<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D" id="TexFormula1" title="x^{2}" alt="x^{2}" align="absmiddle" class="latex
loris [4]

Answer:

No answer is possible

Step-by-step explanation:

First, we can identify what the parabola looks like.

A parabola of form ax²+bx+c opens upward if a > 0 and downward if a < 0. The a is what the x² is multiplied by, and in this case, it is positive 2. Therefore, this parabola opens upward.

Next, the vertex of a parabola is equal to -b/(2a). Here, b (what x is multiplied by) is 1 and a =2, so -b/(2a) = -1/4 = -0.25.

This means that the parabola opens upward, and is going down until it reaches the vertex of x=-0.25 and up after that point. Graphing the function confirms this.

Given these, we can then solve for when the endpoints of the interval are reached and go from there.

The first endpoint in -2 ≤ f(x) ≤ 16 is f(x) = 2. Therefore, we can solve for f(x)=-2 by saying

2x²+x-4 = -2

add 2 to both sides to put everything on one side into a quadratic formula

2x²+x-2 = 0

To factor this, we first can identify, in ax²+bx+c, that a=2, b=1, and c=-2. We must find two values that add up to b=1 and multiply to c*a = -2  * 2 = -4. As (2,-2), (4,-1), and (-1,4) are the only integer values that multiply to -4, this will not work. We must apply the quadratic formula, so

x= (-b ± √(b²-4ac))/(2a)

x = (-1 ± √(1-(-4*2*2)))/(2*2)

= (-1 ± √(1+16))/4

= (-1 ± √17) / 4

when f(x) = -2

Next, we can solve for when f(x) = 16

2x²+x-4 = 16

subtract 16 from both sides to make this a quadratic equation

2x²+x-20 = 0

To factor, we must find two values that multiply to -40 and add up to 1. Nothing seems to work here in terms of whole numbers, so we can apply the quadratic formula, so

x = (-1 ± √(1-(-20*2*4)))/(2*2)

= (-1 ± √(1+160))/4

= (-1 ± √161)/4

Our two values of f(x) = -2 are (-1 ± √17) / 4 and our two values of f(x) = 16 are (-1 ± √161)/4 . Our vertex is at x=-0.25, so all values less than that are going down and all values greater than that are going up. We can notice that

(-1 - √17)/4 ≈ -1.3 and (-1-√161)/4 ≈ -3.4 are less than that value, while (-1+√17)/4 ≈ 0.8 and (-1+√161)/4 ≈ 2.9 are greater than that value. This means that when −2 ≤ f(x) ≤ 16 , we have two ranges -- from -3.4 to -1.3 and from 0.8 to 2.9 . Between -1.3 and 0.8, the function goes down then up, with all values less than f(x)=-2. Below -3.4 and above 2.9, all values are greater than f(x) = 16. One thing we can notice is that both ranges have a difference of approximately 2.1 between its high and low x values. The question asks for a value of a where a ≤ x ≤ a+3. As the difference between the high and low values are only 2.1, it would be impossible to have a range of greater than that.

7 0
2 years ago
Determine if the sequence below is arithmetic or geometric and determine the
Sonbull [250]

Answer: Arithmetic and 3

Step-by-step explanation:

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12/9 = 4/3 9/6 = 3/2 The ratio is not equal so this is not a geometric sequence

4 0
2 years ago
A bag of marbles contains 6 bluemarbles, 2 yeloow marbles, 4 red marbles, and 1 green marble. What is the [robability of reachin
irina [24]

Answer:

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Step-by-step explanation:

First of all, we need to know the total number of marbles that are in the bag. To do this, we will have to add up all the marble colors together.

This will give us 6 + 2 +4+ 1 = 13 marbles in total.

The next step is to find the number of yellow marbles in the bag.

We can get this from the question. There are 2 yellow marbles in the bag.

The probability of selecting a yellow marble can be obtained by dividing the number of yellow marbles by the total number of marbles in the bag

This will give us 2/13.

Therefore, the probability of picking a yellow marble is 2/13

5 0
3 years ago
The water level in a tank decreased 8 inches in 4 minutes. The tank drains at a steady rate. What is the change in the water lev
aalyn [17]
2 inches per minute 8÷4=2
3 0
3 years ago
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