Answer:
C. Correct
Step-by-step explanation:
The interpretation of a confidence interval of x% is that we are x% that this interval contains the mean of the population.
So, for example, the interpretation of a confidence interval of 95% is that we are 95% that this interval contains the mean of the population.
In this problem, we have that:
Based on the results, a 95% confidence interval for mean number of hours worked was lower bound: 41.5 and upper bound: 45.6.
Also, the following affiration:
(A) There is a 95% chance the mean number of hours worked by adults in this country in the previous week was between 41.5 hours and 45.6 hours.
This is correct
So, the answer is:
C. Correct
Answer:
a
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = πr²h ( r is the base radius and h the perpendicular height )
To calculate the height h use the right triangle formed by the radius and the inclined side.
Given diameter = 22, then r = 22 ÷ 2 = 11 cm
Using Pythagoras' identity on the right triangle, then
h² + 11² = 61² , that is
h² + 121 = 3721 ( subtract 121 from both sides )
h² = 3600 ( take the square root of both sides )
h =
= 60
Thus
V = π × 11² × 60
= 3.14 × 121 × 60 ≈ 22796.4 cm³ → a
Step-by-step explanation:
Hey there!
Given;
The points is; (-1 , 2) and slope is 4.
<em>Note:</em><em> </em><em>Use </em><em>one-point</em><em> formula</em><em>.</em>
<em>
</em>
<em>~</em><em> </em><em>Put </em><em>all</em><em> values</em><em>.</em>

~ Simplify it.


Therefore, the required equation is; 4x-y+6=0.
<h3>
<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em></h3>
We are supposed to explain why the given function can be expressed in form
, when
.
Since the given function is an exponential function we can express it as
.
Now let us substitute x=0 in the given function,

Let us substitute x=0 in our function.
Upon substituting a=1 in our function we will get,

Therefore, our function f can be represented by the formula of the form
.
Answer: Yes he will be
Step-by-step explanation:
To find out if Ted can afford the car, find the future value of $4,300 in three years.
First convert the number of years and rates to quarterly values as this is the compounding period:
Term = 3 * 4 quarters = 12 quarters
Rate = 5.5% / 4 = 1.375% per quarter
Future value = Amount * ( 1 + rate) ^ term
= 4,300 * ( 1 + 1.375%)¹²
= $5,065.69
<em>Considering that Ted makes $5,065.69 in 3 years, he will be able to buy a car that costs $4,700.</em>