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iragen [17]
3 years ago
15

Approximately 54% of mathematics students do their homework on time. In a class of 250 students, what is the mean, variance, and

standard deviation if we assume normality and use the normal distribution as an approximation of the binomial distribution?
A) Mean = 135 Variance = 62 Standard Deviation = 8B) Mean = 53 Variance = 62 Standard Deviation = 8C) Mean = 54 Variance = 8 Standard Deviation = 62D) Mean = 135 Variance = 8 Standard Deviation = 62
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

A) Mean = 135 Variance = 62 Standard Deviation = 8

Step-by-step explanation:

Given that :

Proportion (p) = 54%

Sample size (n) = 250

Using Normal approximation :

Mean = np

Mean = 250 * 0.54 = 135

Variance = npq ; q = 1 - p = 1 - 0.54 = 0.46

Variance = (250 * 0.54 * 0.46) = 62.1 = 62

Standard deviation = √variance = √62.1

Standard deviation = 7.8803553 = 8

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Izzy had an 82 and an 88 on his first two tests and believed that he did well enough on his final exam to keep his B average.​ H
Anastaziya [24]

Answer:

73

Step-by-step explanation:

to find the mean you need to add up all grades and divide if by the number of terms you added

(82 + 88 + x) ÷ 3 = 69 (since we don't know the third grade let's call it x)

170 + x = 69 × 3

x = 37

if the digits transposed the the actual grade would be 73

5 0
3 years ago
What types of solutions does 6x^2 - 20x + 1 have?​
elena55 [62]

Answer:

2 real solutions

Step-by-step explanation:

We can use the determinant, which says that for a quadratic of the form ax² + bx + c, we can determine what kind of solutions it has by looking at the determinant of the form:

b² - 4ac

If b² - 4ac > 0, then there are 2 real solutions. If b² - 4ac = 0, then there is 1 real solution. If b² - 4ac < 0, then there are 2 imaginary solutions.

Here, a = 6, b = -20, and c = 1. So, plug these into the determinant formula:

b² - 4ac

(-20)² - 4 * 6 * 1 = 400 - 24 = 376

Since 376 is clearly greater than 0, we know this quadratic has 2 real solutions.

<em>~ an aesthetics lover</em>

3 0
2 years ago
Earth is approximately 9.3 × 107 miles from the sun. Saturn is approximately 8.87 × 108 miles from the sun. About how much farth
Nastasia [14]

Answer:

Both distances are in the scientific notation:

Earth - Sun = 9.3 * 10^7 miles

Saturn - Sun = 8.87 * 10^8 miles

8.87 * 10^8 - 9.3 * 10^7 =

= 88.7 *10^7 - 9.3 * 10^7 =

= 79.4 * 10^7 = 7.94 * 10 ^8 = 794,000,000 miles

Answer: Saturn is  7.94 * 10^8 miles farther from Sun than Earth is.

Step-by-step explanation:

I hope this helps you :)

-KeairaDickson

7 0
3 years ago
Determine the number of ways to distribute 10 orange drinks, 1 lemon drink, and 1 lime drink to four thirsty students so that ea
Thepotemich [5.8K]

Answer:

each student gets 3 drinks, make sure the lemon and lime are in different groupings

Step-by-step explanation:

7 0
3 years ago
Please help me with these two math questions! Thank you ! :)
notka56 [123]
I think it might be c hope that helps you 
5 0
3 years ago
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