Answer:
[0.9 months, 32.69 months]
Step-by-step explanation:
The mean is
The standard deviation is
Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95
</em>
Using a spreadsheet we find these values are
a = 0.906
b = 32.694
<h3>(See picture)
</h3>
and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is
[0.9 months, 32.69 months]
Answer:
$32
Step-by-step explanation:
Put 8 where d is, and do the arithmetic.
amount left = 72 -5·8 = 72 -40 = 32
Kira will have $32 left after paying for 5 tickets.
Answer:
23.6°
Step-by-step explanation:
In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
-------------------------------------------------------------------------------------------------------
10 = Hypotenuse
4 = Opposite
-------------------------------------------------------------------------------------------------------
We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.
Now we substitute in the values to find the value of angle XVW
Sin⁻¹ = Opposite ÷ Hypotenuse
Sin⁻¹ = 4 ÷ 10
The value of angle XVW is 23.57817848
Answer: 
Step-by-step explanation:
Given: The factory produces equal quantities of four flavors cherry lemon orange and strawberry.
Let orange candy= cherry = lemon = strawberry = x
Total candies = x + x + x + x= 4x
The probability that a randomly selected candy is orange = 
Hence, the probability that a randomly selected candy is orange = 