Answer: We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.
Step-by-step explanation:
Given : Significance level : 
Sample size : n= 52 , which is a large sample (n>30), so we use z-test.
By using z-value table,
Critical value: 
Sample mean : 
Standard deviation : 
The confidence interval for population means is given by :-

i.e. 

Now, the 95% confidence interval for the ppopulation mean = . (29.0813, 40.0187)
Hence, We are 95% confident that the mean SPF level of sunscreen used by all Cal Poly students is between 29.0813 and 40.0187.
Answer: x ≥ 7
Step-by-step explanation:
You have to square both sides of the equation. You can manipulate an equation or function any way imaginable as long as it is done equally and helps the problem become easier. If we square this, the radical will cancel and we will get two trinomials equal to each other.

We can see the two expressions are exactly equal to each other. All real numbers are solutions, besides a few. These few are when the radical is equal to a negative number. So lets set up an inequality stating that the radical must be greater than or equal to 0.

Answer:
10 Letter B
Step-by-step explanation:
56.23 rounds down to 56 and 45.9 rounds up to 46. So 56 - 46 = 10
Answer:
b. For 100 additional burglaries in California one expects to see an increase of about 3 burglaries in Hawaii.
Step-by-step explanation:
The slope gives the increase in the independent variable per unit increase in the dependent variable. Hence, a reasonable interpretation for the slope would be ;
the rate of change in the number of burglaries in Hawaii per 100 unit change in number of burglaries in California is 3.
Hence, for 100 additional burglaries in California, the rate of change in the number of burglaries in Hawaii is 3.
Answer:
The value of x is 6
Step-by-step explanation:
we know that
If two angles are supplementary, then their sum is equal to 180 degrees
so
In this problem
m∠C+m∠E=180°
we have
m∠C=112°
m∠E=(3x+50)°
substitute and solve for x
112°+(3x+50)°=180°
3x+162=180
3x=180-162
3x=18
x=6