To rotate clockwise 90 degrees from a point (x, y) the image will be (y, -x)
In this case given the point (-1, 1), the image will be (1, -(-1)) or (1, 1)
Answer:
Step-by-step explanation:
Hello!
X: Cholesterol level of a woman aged 30-39. (mg/dl)
This variable has an approximately normal distribution with mean μ= 190.14 mg/dl
1. You need to find the corresponding Z-value that corresponds to the top 9.3% of the distribution, i.e. is the value of the standard normal distribution that has above it 0.093 of the distribution and below it is 0.907, symbolically:
P(Z≥z₀)= 0.093
-*or*-
P(Z≤z₀)= 0.907
Since the Z-table shows accumulative probabilities P(Z<Z₁₋α) I'll work with the second expression:
P(Z≤z₀)= 0.907
Now all you have to do is look for the given probability in the body of the table and reach the margins to obtain the corresponding Z value. The first column gives you the integer and first decimal value and the first row gives you the second decimal value:
z₀= 1.323
2.
Using the Z value from 1., the mean Cholesterol level (μ= 190.14 mg/dl) and the Medical guideline that indicates that 9.3% of the women have levels above 240 mg/dl you can clear the standard deviation of the distribution from the Z-formula:
Z= (X- μ)/δ ~N(0;1)
Z= (X- μ)/δ
Z*δ= X- μ
δ=(X- μ)/Z
δ=(240-190.14)/1.323
δ= 37.687 ≅ 37.7 mg/dl
I hope it helps!
Answer:
5 months
Step-by-step explanation:
Given :The bank withdraws $15 from Betsy’s checking account as a service fee every month.
To Find : Betsy has budgeted $75 for the next few service fees. For how many months will the service fee be covered?
Solution :
Since we are given that $15 is service fees for 1 month
So. $1 is service fee for month = 
So, $75 is service fee for months = 
= 
Hence$75 service charge will be covered for 5 months .
Domain: {1,2,3,5,7}
Range: {4,9,7,12}
You know that there is a right angle which equals 90 degrees, you take 90 + 67 +37 which equals 194. You have 2 x's so it should equal 2x. Then you take 194 divided by 2, and you should have the answer to what x equals
