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astraxan [27]
4 years ago
11

A bag contains 3 red marbles, 5 green marbles and 7 blue marbles. If Janelle picks one marble out of the bag, what is the probab

ility that the marble is red?
Mathematics
1 answer:
lisabon 2012 [21]4 years ago
8 0

3+5+7 = 15 total marbles

3 are red

 so she has a 3/15 reduces to 1/5 probability of picking a red one

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The radius of the cylinder is 3 inches and the height is 8 inches. Find the volume of the cylinder.
Dafna11 [192]

Answer:

1584/7 in² ≈ 226.3 in²

Step-by-step explanation:

Given,

  • Radius R = 3 in
  • Height H = 8 in
  • Volume V = ?

We know that,

Volume(Cylinder) = πr²h

Substitute values,

  • π(3²)8
  • 9(8)π
  • 72π

Taking π as 22/7

  • 72*22/7
  • 1584/7 ≈ 226.3 in²

5 0
2 years ago
Given f (x )equals 2 x minus 5 and g (x )equals 5 x squared​, first find f plus g​, f minus g​, ​fg, and StartFraction f Over g
baherus [9]

Answer:

(f + g)(x) = 5x² + 2x - 5

Domain: All real numbers

(f - g)(x) = -5x² + 2x - 5

Domain: All real numbers

(fg)(x) = 10x³ - 25x²

Domain: All real numbers

(f/g)(x) = \frac{2x-5}{5x^2}

Domain: (negative infinity, 0)U(0, positive infinity)

Step-by-step explanation:

For f + g, we are simply adding the 2 together

<em>Domain: All values of x work, as any value x outputs any value y</em>

For f - g, we are simply subtracting the 2 together

<em>Domain: All values of x work, as any value x outputs any value y</em>

For f times g, we are simply multiplying (distributing) the 2 together

<em>Domain: All values of x work, as any value x outputs any value y</em>

For f divided by g, we are simply dividing (fraction) the 2 together

<em>Domain: All values except for 0 work (undefined error), so asymptote at x = 0</em>

6 0
3 years ago
A rocket is launched from a tower. The height of the rocket, y in feet is related to the time after launch, x in seconds, by the
gizmo_the_mogwai [7]

Step-by-step explanation:

The height of the rocket y in feet is related to the time after launch, x in seconds, by the given equation i.e.

y=-16x^2+165x+78 ......(1)

It is required to find the maximum height reached by the rocket. For maximum height put \dfrac{dy}{dx}=0.

So,

\dfrac{d(-16x^2+165x+78)}{dx}=0\\\\-32x+165=0\\\\32x=165\\\\x=5.15\ s

Put x = 5.15 in equation (1).

y=-16(5.15)^2+165(5.15)+78\\\\y=503.39\ m

So, the maximum height reached by the rocket is 503.39 m.

5 0
4 years ago
Together, teammates Pedro and Ricky got 2687 base hits last season. Pedro had 281 more hits than Ricky. How many hits did each p
stich3 [128]

Ricky had 1203 hits Pedro had 1484

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3 years ago
What is slope in algebra 1?
jok3333 [9.3K]

Answer:

rise over run aka a measure of its steepness

Step-by-step explanation:

4 0
2 years ago
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