Answer:
a) 0.5588
b) 0.9984
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 24
Standard Deviation, σ = 6.4
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
a) P(score between 20 and 30)

b) Sampling distribution
Sample size, n = 22
The sample will follow a normal distribution with mean 24 and standard deviation,

c) P(mean score of sample is between 20 and 30)

Its the same shape so it would be A.
and C because they are similar
Answer:
41.7m²
Step-by-step explanation:
As we can see, the area of this shape is simply the sum of 3 rectangles
Rectangle A has an area of 6 times 4 or 24m²
Rectangle B has an area of (3.8-2) times 3.5 or 1.8 times 3.5 or 6.3m²
Rectangle C has an area of 3 times 3.8 or 11.4m²
Adding that up gives 41.7m²
Answer:
b. {-9, 3}.
Step-by-step explanation:
x^2 + 6x - 27 = 0
We need 2 numbers whose product is -27 and whose sum is + 6.
These are + 9 and - 3. So the factors are:
(x - 3)(x + 9) = 0
(x - 3) = 0 or (x + 9) = 0
x = 3 or -9.
Answer:
Step-by-step explanation:
The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta.
Hope it will help :)❤