1. w= 52
2. x= 5
3. n=1.4
4. x= -28/9 or x=-3.1
Answer:
See below
Step-by-step explanation:
The mean score and the standard deviation are needed
A mixed number is a combination of a whole number and a fraction, so in this case we have 8 as the whole part and 0.45 as the fraction, 0.45 is equal to 45/100, and that fraction can be simplified as well, lets see:
8.45 = 8 45/100
= 8 9/20
Answer:
8
Step-by-step explanation:
Recall the formula for the population mean of a data set:
![\mu=\frac{\sum x}{N}](https://tex.z-dn.net/?f=%5Cmu%3D%5Cfrac%7B%5Csum%20x%7D%7BN%7D)
We already know that μ is 6 and the sum is 48. Substitute:
![6=\frac{48}{N}](https://tex.z-dn.net/?f=6%3D%5Cfrac%7B48%7D%7BN%7D)
Divide both sides by 48:
![\frac{1}{8}=\frac{1}{N}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D%3D%5Cfrac%7B1%7D%7BN%7D)
Reciprocal of both sides:
![N=8](https://tex.z-dn.net/?f=N%3D8)
Thus, there are 8 scores in the population size.
And we're done!
Answer:
A
Step-by-step explanation:
Since cosine is positive and sine is negative that puts θ in Quad IV.
From right triangles we know:
Cos θ = adjacent/hypotenuse = 5/13
sin θ = opposite/hypotenuse = ?/13
To find the opposite side across from θ use the pythagorean theorem.
5² + y² = 13²
25 + y² = 169
y² = 144
y = 12
we are given that sin is < 0 so sinθ = -12/13