Answer:
He must survey 123 adults.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of 
.
The margin of error is:
Assume that a recent survey suggests that about 87% of adults have heard of the brand.
This means that 
90% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
How many adults must he survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage?
This is n for which M = 0.05. So
Rounding up:
He must survey 123 adults.
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 3, 4 ) and (x₂, y₂ ) = (2, - 1 )
m = 
= 
= 
= - 1 → A
Answer:
Use distributive property
To find x-intercept substitute 0 for y and solve for x
-6x + 3(0) = -7
Simplify
-6x=-<span>7
</span>Divide each side by -6
-6x ÷ -6 = -7 ÷ -6
x = 7/6
X = 7/6 is your x intercept
-------------------------------------
To find y-intercept substitute 0 for x and solve for y
<span>-6(0)+3y=-7
Simplify
</span><span>3y</span>=-<span><span>7
</span></span><span>Divide each side by 3
3y </span>÷ 3 = -7 ÷ 3
<span>y = -7/3
Y = -7/3 is your y-intercept
</span>
Answer:
The volume of the cone in terms of π is 90.31π inches³ to the nearest hundredth.
Step-by-step explanation:
Volume = πr²(h/3) = ?
Height = <em>15 inches</em> (from the diagram)
Find r
since we are given the circumference of the base circle = 8.5π inches => 2πr
∴ 8.5π inches = 2πr
( 8.5π / 2π ) inches = r
<em>4.25 inches</em> = (r) Radius
Now that we have both Height (15 inches) and Radius (4.25 inches), calculate the volume.
Volume = πr²(h/3)
= π * (4.25 inches)² * (15 inches / 3)
= π * 18.0625 inches² * 5 inches
Volume = 90.3125π inches³
Rounding to the nearest hundredth ≅ 90.31π inches³
