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Eva8 [605]
3 years ago
6

What is the answer to this problem?

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0
Volume of cone = (pi/3)r^2h
Volume of hemisphere = (1/2) (4pi/3)r^3

we are given r=6/2=3cm, h(cone)=8 cm,
so total volume
=(pi/3)r^2h + (1/2)(4pi/3)r^3
=(pi/3)*3^2*8 + (1/2)(4pi/3)*3^3
=24pi + 18pi
=42pi cm^3
=131.9 cm^3 (approx.)
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If 50 percent of x=66 then x =
sasho [114]

Answer:

132

Step-by-step explanation:

50 % means half

so 66 is half of whatever x is.

to find x you have to multiply 66 by 2 or add 66 to 66 which will give you 132 either way.

<em>Hope this helps you! have an amazing day :)</em>

7 0
3 years ago
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Out of 8 boys and 6 girls in a high school, a team of seven students is selected. What is the probability that three boys and fo
maria [59]
The probabitily is if they get selected  as a team of 7 aswell if they're playing a game of some sort.
 
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3 years ago
Y intercepts of 3x^2-12x+6
Inessa05 [86]
Y=3x^2. -12x+6

If x= 0 then y= 3•0^2 -12•0+6=6
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y intercept is the place where the curve touches the y-axis and is at point (0, 6)
6 0
3 years ago
You recently sent out a survey to determine if the percentage of adults who use social media has changed from 66%, which was the
il63 [147K]

Answer:

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Of the 2809 people who responded to survey, 1634 stated that they currently use social media.

This means that n = 2809, \pi = \frac{1634}{2809} = 0.5817

98% confidence level

So \alpha = 0.02, z is the value of Z that has a pvalue of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

6 0
3 years ago
Can someone help me please
Lady_Fox [76]
Let's solve your system by substitution.
y
=
−
2
x
+
7
;
y
=
5
x
−
7

Step: Solve
y
=
−
2
x
+
7
for y:
y
=
−
2
x
+
7

Step: Substitute
−
2
x
+
7
for
y
in
y
=
5
x
−
7
:
y
=
5
x
−
7
−
2
x
+
7
=
5
x
−
7
−
2
x
+
7
+
−
5
x
=
5
x
−
7
+
−
5
x
(Add -5x to both sides)
−
7
x
+
7
=
−
7
−
7
x
+
7
+
−
7
=
−
7
+
−
7
(Add -7 to both sides)
−
7
x
=
−
14
−
7
x
−
7
=
−
14
−
7
(Divide both sides by -7)
x
=
2

Step: Substitute
2
for
x
in
y
=
−
2
x
+
7
:
y
=
−
2
x
+
7
y
=
(
−
2
)
(
2
)
+
7
y
=
3
(Simplify both sides of the equation)

Answer: x=2 and y=3
6 0
3 years ago
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