Answer:
a If we make the parent function 2sqrt(x) then we translate to the left 4 units and up 5 units
Step-by-step explanation:
y = sqrt(4x+16) +5
y = sqrt(4 (x+4)) +5
y = sqrt(4) sqrt(x+4) +5
y =2sqrt(x+4) +5
f(x) = sqrt(x) this is the parent function
g(x) = sqrt(x+4) This moves it to the left 4 units
h(x) = 2 sqrt (x+4) This stretches it by 2 in the y direction
j(x) = 2 sqrt(x+4) +5 This moves it up by 5 units
y = 2sqrt(x+4) +5
This is to the left 4 units, stretched 2 units in the y direction and up 5 units
If we make the parent function 2sqrt(x) then we translate to the left 4 units and up 5 units
Volume of cylinder = πr²h
Radius = Diameter ÷ 2
Radius = 10÷ 2
Radius = 5 in
Volume of the cylinder =π x 5² x20
Volume of the cylinder = 1570.80 in³ (nearest hundredth)
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Volume = 1570.80 in³ (Answer C)
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Answer:
The probability that a randomly selected student didn’t take economics but did take statistics is 13%.
Step-by-step explanation:
Let the event that a student offers Economics be E.
The event that a student does NOT offer Economics is E'.
Let the event that a student offers Statistics be S.
The event that a student does NOT offer Statistics be S'.
P(E) = 13.5% = 0.135
P(S) = 24.7% = 0.247
P(E n S) = 11.7% = 0.117
Find the probability that a randomly selected student didn’t take economics but did take statistics
This probability = P(E' n S)
Since E and E' are mutually exclusive events,
P(S) = P(E' n S) + P(E n S)
P(E' n S) = P(S) - P(E n S)
P(E' n S) = 0.247 - 0.117 = 0.13 = 13%
Hope this Helps!!!
Answer:
188.57 cm³
Step-by-step explanation:
Half sphere = 1/2 volume sphere
Sphere = 4/3 * 22/7 * 3³
Sphere = 4/3 * 22/7 * 27/1
Sphere = 2376/21 = 113.14
113.14 / 2 = 56.57
Cone = 22/7 * 3² * h/3
Cone = 22/7 * 9/1 * 14/3
Cone = 2772/21 = 132
132 + 56.57 = 188.57 cm³
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-Chetan K
