Looking at the image attached, we can see the assumed sales of the Chewy Candy Company for its new candy bar in Manila and Seoul. Setting up the given condition for separate branches, we clearly see that during the 6th month, the total sales in Manila first exceeded the cumulative total sales in Seoul.
Answer: a. A point estimate for p is 0.597 .
b. The 95% confidence interval for p.
Lower limit = 0.48
Upper limit = 0.71
Step-by-step explanation:
Given : Sample size of professional actors : n= 67
Number of extroverts : x= 40
Let p represent the proportion of all actors who are extroverts.
a. The point estimate for p = sample proportion = 

b. Confidence interval for population proportion :

Since the critical value for 95% confidence interval is 1.96 , so the 95% confidence interval for p would be





In the 95% confidence interval for p.
Lower limit = 0.48
Upper limit = 0.71
Step-by-step explanation:
Let
x
be the kg of coffee of brand A in the mix and
y
be the kg of coffee of brand B in the mix.
The total kg must be
50
.
x
+
y
=
50
The cost per kg of the mix must br
$
7.20
. For this, the total cost of the mix will be
6
x
+
8
y
, so the total cost per kg of the mix will be
6
x
+
8
y
50
.
6
x
+
8
y
50
=
7.20
Now that we have our two equations, we can solve.
6
x
+
8
y
=
7.20
⋅
50
6
x
+
8
y
=
360
From the first equation, we can multiply both sides by
6
to get:
6
x
+
6
y
=
300
Subtracting, we get:
2
y
=
60
y
=
30
Thus, we need
30
kg of brand B in our mix. This means that
50
−
30
=
20
kg will be of brand A.
So ram had 10 chocolates and i had 30 chocolates
because 1:3= 10:30
=> 4= 40
The volume given is 3Pi(x^3) and the radius is x.
The formula for the volume of a cone is V= [1/3]Pi(r^2)*height
=> [1/3]Pi (r^2) x = 3Pi(x^3) =>
(r^2)x = 3*3(x^3) => (r^2)x = 9(x^3) => (r^2) = 9x^2 =>
r = sqrt[9x^2] = 3x.
<span>Answer: r = 3x</span>