now, if the radius of the bowl is about 5.5, that means the diameter which twice the radius is about 11 inches long.
the cooler is a 10x15, so the sides of the cooler are either 10" long or 15" long, will the bowl of diameter 11" fit inside? sure.
-4(2y)+11y=15
-8y+11y=15
3y=15
y=5
-4x+11(5)=15
-4x+55=15
-4x= -40
x=10
We let x and y represent the two angles,
y = 2x + 6
It was stated in the problem that these angles given are a linear pair. Angles in linear pair are said to add up to 180 degrees. Thus,
y + x = 180
2x + 6 + x = 180
3x = 174
x = 58°
y = 122°
Answer:
There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine’s Day is between 0.214 and 0.286.
Step-by-step explanation:
The summary of the statistics from the information given is ;
At 90% confidence interval, 25% dreaded Valentine's Day and the margin of error for the survey was 3.6 percentage points
SO;
C.I = (0.25-0.036 , 0.25+0.036)
C.I = (0.214, 0.286)
The 90% confidence interval for the proportion of the adult citizens of the nation that dreaded Valentine’s day is 0.214 and 0.286.
There is 90% confidence that the proportion of the adult citizens of the nation that dreaded Valentine’s Day is between 0.214 and 0.286.
ANSWER
EXPLANATION
The given functions are:
and
We want to find
We substitute x+2 wherever we see x in f(x).This implies that;
We can rewrite the perfect square term as
We expand to get:
This simplifies to
This is a polynomial function. The domain of this function is the values of x for which the function is defined. Since polynomials are defined for all real values, the domain is all real numbers.