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dezoksy [38]
3 years ago
15

Alice works at a health care facility. She has measured the hemoglobin levels of 200 people. The data follows a normal distribut

ion with a mean of 14 g/dL and a standard deviation of 1. From the given data we can conclude
Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0

Answer:

Step-by-step explanation:

This is a normal distribution with the mean of 14 g/dL and a standard deviation of 1 g/dL.

For less than 13 ( 13 = mean - 1 standard deviation and less ):

16 % of 200, 0.16 * 200 = 32 people.

For greater than 14 ( mean and greater ):  50 % of 200 = 100 people.  

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z = 1.25

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A field is a rectangle with a perimeter of 1260 feet. The length is 100 feet more than width. Find the width and length of the r
lyudmila [28]

To solve this problem you must apply the proccedure shown below:

1. The formula for calculate the perimeter of a rectangle is:

P=2L+2W

Where L is the length and W is the width.

2. The length is 100ft more than the width, therefore:

L=W+100

3. Substitute values into the formula for calculate the perimeter and solve for the width:

1260=2(W+100)+2W\\ W=265ft

3. Then, the length is:

L=265ft+100ft\\ L=365ft

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3 years ago
Anton bakes 36 cookies. He gives cookies to each of his 3 friends.
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36 - 3c

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cyril's net pay for the month was $926.45. if his gross pay is $1300.00, his net pay is what percent of the gross pay?
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Consider the graph of the quadratic function y = 3x2 – 3x – 6. What are the solutions of the quadratic equation 0 = 3x2 − 3x − 6
son4ous [18]
Y = 3x^2 - 3x - 6 {the x^2 (x squared) makes it a quadratic formula, and I'm assuming this is what you meant...}

This is derived from:
y = ax^2 + bx + c

So, by using the 'sum and product' rule:

a × c = 3 × (-6) = -18

b = -3

Now, we find the 'sum' and the 'product' of these two numbers, where b is the 'sum' and a × c is the 'product':

The two numbers are: -6 and 3

Proof:

-6 × 3 = -18 {product}

-6 + 3 = -3 {sum}

Now, since a > 1, we divide a from the results

-6/a = -6/3 = -2

3/a = 3/3 = 1

We then implement these numbers into our equation:

(x - 2) × (x + 1) = 0 {derived from 3x^2 - 3x - 6 = 0}

To find x, we make x the subject of 0:

x - 2 = 0

OR

x + 1 = 0

Therefore:

x = 2

OR

x = -1

So the x-intercepts of the quadratic formula (or solutions to equation 3x^2 - 3x -6 = 0, to put it into your words) are 2 and -1.


We can check this by substituting the values for x:

Let's start with x = 2:

y = 3(2)^2 - 3(2) - 6
= 3(4) - 6 - 6
= 12 - 6 - 6
= 0 {so when x = 2, y = 0, which is correct}

For when x = -1:

y = 3(-1)^2 - 3(-1) - 6
= 3(1) + 3 - 6
= 3 + 3 - 6
= 0 {so when x = -1, y = 0, which is correct}
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