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)
Answer:
6, 12, 18, 24, 30, 36, 42, 48, 54, 60
Step-by-step explanation:
all numbers are multiples of 6, thus are divisible by 6
49 Degrees Fahrenheit = 9.44444 Degrees Celsius
71 Degrees Fahrenheit = 21.6667 Degrees Celsius
you would take 264+77+150=491in2
<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