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Rainbow [258]
3 years ago
8

What is the value of z?

Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:

z =23

Step-by-step explanation:

The three angles in a triangle add to 180 degrees.

62+95+z = 180

Combine like terms

157 +z = 180

Subtract 157 from each side

157-157 +z = 180-157

z =23

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A normal distribution has a mean of 60 and a standard deviation of 2. Determine the z-
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Answer: z score is -19

Work Shown:

x = 22 is the raw score

mu = 60 is the mean

sigma = 2 is the standard deviation

z = (x-mu)/sigma = formula to find z scores

z = (22 - 60)/2

z = -38/2

z = -19

The z score of -19 means we are 19 standard deviations below the mean. Anything beyond 3 standard deviations is often considered unusual/rare as most of the data in the normal distribution is within 3 standard deviations (approximately 99.7% of the distribution)

6 0
3 years ago
What are 10 numbers divisible by 6
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6, 12, 18, 24, 30, 36, 42, 48, 54, 60

Step-by-step explanation:

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5 0
3 years ago
What is the area of this figure?
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8 0
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If a^b= b^a and b = 2a, what is the value of a + b?​
katen-ka-za [31]

<u>We are given:</u>

aᵇ = bᵃ

b = 2a

<u>Finding (a+b):</u>

<u>Finding a:</u>

replacing b by 2a in the first equation, we get:

(a²)ᵃ = (2a)ᵃ

(a²)ᵃ = 2ᵃ * aᵃ

a²ᵃ / aᵃ = 2ᵃ                  [dividing both sides by aᵃ]

aᵃ = 2ᵃ                          [because xᵃ / xᵇ = xᵃ⁻ᵇ]

a = 2                             [raising both sides to 1/a]

<u>Finding b:</u>

We are given that b = 2a

now that we know what a equals, we will plug that value here

b = 2(2)

b = 4

<u>Finding a+b:</u>

We found that a = 2, b = 4

a + b = 2 + 4 = 6

5 0
3 years ago
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