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Rashid [163]
3 years ago
8

Suppose that you are conducting a survey on how many students have blue eyes in each first period classroom at Garfield Middle s

chool. The mean number of blue-eyed students is 6, and the standard deviation is 2. Mr. Garcia's first period history class has 10 students with blue eyes. What statement is true?
The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean,

The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the left of the mean,

The number of blue-eyed students in Mr. Garcia's class is 4 standard deviations to the right of the mean,

The number of blue-eyed students in Mr. Garcia's class is 4 standard deviations to the left of the mean
Mathematics
1 answer:
rusak2 [61]3 years ago
4 0

Answer:

  • <u>The correct statement is the first one: </u><u><em>The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean</em></u><em> </em>

<em />

Explanation:

To calculate how many<em> standard deviations</em> a particular value in a group is from the mean, you can use the z-score:

      z-score=(x-\mu )/\sigma

Where:

  • z-score is the number of standard deviations the value of x is from the mean
  • \mu  is the mean
  • \sigma  is the standard deviation

Substitute in the formula:

       z-score=(10-6)/2=4/2=2

Which means that <em>the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations</em> above the mean.

Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.

Therefore, the correct statement is the first one: <em>The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean, </em>

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Solve –19 = x – 4. Question 9 options: A) x = –15 B) x = –23 C) x = –76 D) x = 25
AveGali [126]

Answer:

A.) x = -15

Step-by-step explanation:

-19+4 = x

x = -15

4 0
2 years ago
Carla paid $129 plus 6% sales tax for a guitar. What
Nesterboy [21]

Answer:

136.74

Step-by-step explanation:

6 percent of $129 is $7.74

129 plus 7.74 = 136.74

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2 years ago
Required information Skip to question NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to re
pogonyaev

The result for the given 14 length bit string is-

(a) The bit strings of length 14 which have exactly three 0s is 2184.

(b) The bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The bit strings of length 14 which have at least three 1s is 4472832.

<h3>What is a bit strings?</h3>

A bit-string would be a binary digit sequence (bits). The size of the value is the amount of bits contained in the sequence.

A null string is a bit-string with no length.

The concept used here is permutation;

ⁿPₓ = n!/(n-x)!

Where, n is the total samples.

x is the selected samples.

(a) Because there are exactly three 0s, its other digits have always been one, hence the total of permutations is equal to;

n = 14 and x = 3 digits.

¹⁴P₃ = 14!/(14-3)!

¹⁴P₃ = 2184.

Thus, the bit strings of length 14 which have exactly three 0s is 2184.

(b) Because it is a bit string with 14 digits and it can only have digits 0 or 1, we must choose 7 0s and the remaining 7 1s, hence the number possible permutations is equal to;

n = 14 and x = 7 digits.

¹⁴P₇ = 14!/(14-7)!

¹⁴P₇ = 17297280.

Thus, the bit strings of length 14 which have same number of 0s as 1s is 17297280.

(c) The answer is identical to problem a, but the rest of a digits could be either 0 or 1, hence it must be doubled by 2¹¹ because there are 11 digits, each of which can be one of two options;

= 2184×2¹¹

= 4472832

Thus, he bit strings of length 14 which have at least three 1s is 4472832.

To know more about permutation, here

brainly.com/question/12468032

#SPJ4

The correct question is-

How many bit strings of length 14 have:

(a) Exactly three 0s?

(b) The same number of 0s as 1s?

(d) At least three 1s?

3 0
1 year ago
If the height and base of the parallelogram shown are each decreased by 2 cm what is the area of the new parallelogram
nika2105 [10]

Answer:

<u>complete question:</u>

If the height and base of the parallelogram shown are each decreased by 2 cm, what is the area of the new parallelogram?

A parallelogram with a base of 10 centimetres and a height of 8 centimetres

area = 48 cm²

Step-by-step explanation:

A parallelogram is quadrilateral with 4 sides formed by 2 pair of parallel lines. The area of a parallelogram is represented as follows :

area of parallelogram =  B × H

where

B = breadth

H = height

According to the question the height and the base each reduced by 2 cm.

The new base = 10 - 2 = 8 cm

The new height = 8 - 2 = 6 cm

area = B × H

area = 8 × 6

area = 48 cm²

5 0
3 years ago
Group of friends are studying linear equations for their math class. They consider the equation shown.
alexgriva [62]

Answer:Hello, my name is woods245 and I'm here to help you with your problem?

So you have y=3x+4 right. Well I will tell you this. You can't solve this problem because it's already solved for you. But you can graph it though.

If you know how to graph these type's of problems? If you don't it's ok, that's why I'm here.

You will go to the point 4 and go up 3 units.

Step-by-step explanation:

7 0
3 years ago
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