Answer:
y = 70°
Step-by-step explanation:
Complementary angles sum to 90°, then
x + y = 90°, that is
20° + y = 90° ( subtract 20° from both sides )
y = 70°
The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
The z score is given by:
z = (raw score - mean) / (standard deviation / √sample size)
Given mean of 8.6 words and a standard deviation of 4.3 words. If a random sample of 39 messages, hence, for x > 10:
z = (10 - 8.6) / (4.3 / √39) = 2.03
P(x > 10) = P(z > 2.03) = 1 - P(z < 2.03) = 1 - 0.9788 = 0.0212
The probability the sample mean is more than 10 words for a random sample of 39 messages is 2.12%
Find out more on equation at: brainly.com/question/2972832
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Answer:
0.2588
Step-by-step explanation:
1.) Parallel to 10x - 5y = 8 ; (2,4)
10x - 5y = 8
5y = 10x - 8
y = 2x - 8/5
m = 2
y - 4 = 2(x - 2)
y - 4 = 2x - 4
y = 2x
2.) Parallel to 4x + 2y = 5 ; (-3,5)
4x + 2y = 5
2y = -4x + 5
y = -2x - 5/2
m = -2
y - 5 = -2(x + 3)
y - 5 = -2x - 6
<span>y = -2x -1
</span>
3.) Parallel to 4x + y = -1 ; (5,0)
4x + y = -1
y = -4x - 1
m = -4
y - 0 = -4(x - 5)
y = -4x + 20
4.) Perpendicular to x - 5y = -10 ; (2,5)
x - 5y = -10
5y = x + 10
y = x/5 - 2
m = -5
y - 5 = -5(x - 2)
y - 5 = -5x + 10
y = -5x + 15
5.) Perpendicular to x - 3y = 9 ; (3,5)
x - 3y = 9
3y = x - 9
y = x/3 - 3
m = -3
y - 5 = -3(x - 3)
y - 5 = -3x + 9
<span>y = -3x + 14</span>
The first step to finding the developed form is to multiply each term in the parenthesis by 2
2 × 3x - 2 × 10
now,, youll need to calculate the product of the first multiplication set
6x - 2 × 10
finally,, multiply the last set of numbers
6x - 20
this means that the correct answer to your question is 6x - 20.
let me know if you have any further questions
:)