Answer:
The Z score of the person is -3.09.
Step-by-step explanation:
The standard normal deviate (Z) for a normal distribution is given by

where,
X = the value of observation
is mean of the observations and
σ = standard deviation of the score
Applying values we get

Answer:
12√2
Step-by-step explanation:
45-45-90 special right triangles follow the form of x,x,x√2
Where both the sides that are across from the same angle (45) are equal in length and the hypotenuse is that value multiplied by the √2
There is no image, what does that mean?
Answer:
1. We already have the measure of the hypotenuse and one out of two acute angle, therefore:
sin53° = x/45 => x = sin53° · 45 ≈35.94
2. We already have one out of two legs of the triangle and one acute angle so we know that:
tan27° = 48/x => x = 48/tan27° ≈ 94.21
Answer:
1000 readers
Step-by-step explanation:
40 people represent 4% of the total number of readers.
4% is 1/25 of 100%, therefore:
4% x 25 = 100%
So, if we multiply the number of people that represent 4% by 25, we will get the total number (100%).
40 x 25 = 1,000
The newspaper has 1000 total readers.
Alternatively, you could also divide 4% (40) by 4 which would give you 1%=10. Multiply this by 100 to get 100% which gives us: 100% = 1000.
Hope this helped!