Answer:
f(-5)=240
g(-7)=-33
Step-by-step explanation:
1) f(x)=3x^2 - 3x
f(-5)= 3×(-5)^2 - 3×(-5) = -15^2 + 15= 225 + 15=240
2) g(x)=5x + 2
g(-7)= 5×(-7) + 2= -35+2=-33
<h2><em>we can write (3x^2-5y^2) as (3x-5y)^2</em></h2><h2><em>(
3
x
−
5
y
)
2 as (
3
x−
5
y
)
(
3
x−
5
y
)</em></h2><h2><em>3
x
(
3
x
−
5
y
)
−
5
y
(
3x
−5
y
)</em></h2><h2><em>3
x
(
3
x
−
5
y
)
−
5
y
(3
x
−
5
y
)</em></h2><h2><em>3
x
(
3
x
)
+
3
x
(
−
5y
)
−
5
y
(
3
x
)
−
5
y(
-5
y
)</em></h2><h2><em>9
x
2
−
15
x
y
−
15y
x
+
25
y
2
</em></h2><h2><em> Subtract 15
y
x from −
15
x
y
.</em></h2><h2><em>9
x
2
−
30
xy
+
25
y
2</em></h2><h2><em> HOPE IT HELPS(◕‿◕✿) </em></h2><h2><em> SMILE!! </em></h2>
Given:
Cylinder: radius = 8 yd; height = 4 yd
Surface Area = 2 π r h + 2 π r²
SA = 2 * 3.14 * 8 yd * 4yd + 2 * 3.14 * (8yd)²
SA = 200.96 yd² + 401.92 yd²
SA = 602.88 yd²
Volume = π r² h
V = 3.14 * (8yd)² * 4yd
V = 803.84 yd³
Dimension is cut in half. radius = 4yds ; height = 2yds
S.A = 2 * 3.14 * 4yd * 2yd + 2 * 3.14 * (4yd)²
S.A = 50.24 yd² + 100.48 yd²
SA = 150.72 yd²
V = 3.14 * (4yd)² * 2yd
V = 100.48 yd³
SA = 602.88 yd² - 150.72yd² = 452.16 yd²
V = 803.84 yd³ - 100.48 yd³ = 703.36 yd³
Answer:
The 90% confidence interval of the population proportion is (0.43, 0.56).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:
The information provided is:
<em>X</em> = 74
<em>n</em> = 150
Confidence level = 90%
Compute the value of sample proportion as follows:
Compute the critical value of <em>z</em> for 90% confidence level as follows:
*Use a <em>z</em>-table.
Compute the 90% confidence interval of the population proportion as follows:
Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).
