Answer:
Step-by-step explanation:
Here you go mate
Step 1
2x+15=82-9 Equation/Question
Step 2
2x+15=82-9 Simplify
2x+15=73
Step 3
2x+15=73 Subtract
2x=58
Step 4
2x=58 Divide by 2
answer
x=29
The equation for the base is that of a circle, so the cross sections will have a leg of length equal to the vertical distance between its halves.
x² + y² = 16 ⇒ y = ±√(16 - x²)
⇒ length = √(16 - x²) - (-√(16 - x²)) = 2 √(16 - x²)
Cross sections with thickness ∆x have a volume of
1/2 length² ∆x = 1/2 (2 √(16 - x²))² ∆x = (32 - 2x²) ∆x
since they are isosceles triangles and so their bases and heights are equal.
Then the total volume would be (D)
Answer:
90% confidence interval -> {0.4529, 0.5871}
Step-by-step explanation:
<u>Check conditions for a 1-proportion z-interval:</u>
np>10 -> 150(0.52)>10 -> 78>10 √
n(1-p)>10 -> 150(1-0.52)>10 -> 72>10 √
Random sample √
n>30 √
For a 90% confidence interval, the critical value is z=1.645
The formula for a confidence interval is:
CI = p ± z√[p(1-p)/n]
<u>Given:</u>
p = 78/150 = 0.52
n = 150
z = 1.645
Therefore, the 90% confidence interval is:
CI = 0.52 ± 1.645√[0.52(1-0.52)/150] = {0.4529, 0.5871}
Context: We are 90% confident that the true proportion of all voters who
plan to vote for the incumbent candidate is contained within the interval
Hello!
Explanation:
Distributive property: → a(b+c)=ab+ac
Expand.
First, add by 54 from both sides of an equation.
Then, simplify by equation.
You can also subtract by 3x from both sides of an equation.
Simplify.
Next, divide by 3 from both sides of an equation.
Answer: →
and 
Hope this helps!
Have a great day!
-Charlie
(7, 9). the reason for this, is because on an x y coordinate plane, x first, then y second. east is positive, north is positive, therefore it is (7, 9)
