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Keith_Richards [23]
3 years ago
8

jason the clown brings a total of 20 balloons to jake's birthday party. there are 7 yellow, 2 red, and 11 green balloons. he rea

ches into his pocket and randomly selects a color balloon animal. if he pulls a yellow balloon first, what is the probability of the next color to be selected randomly will also be yellow?
Mathematics
2 answers:
Lorico [155]3 years ago
5 0
I'm assuming it would be 6/20.
enyata [817]3 years ago
5 0
P_{yellow}=\frac{yellow}{total}

Be careful here: There is one less yellow (and one less total) since he already took a yellow one, thus:

P_{yellow}=\frac{6}{19}=\approx 31.6\%
You might be interested in
PLEASEEEE
Jobisdone [24]
<h3>Answer:  9.4 feet</h3>

Work Shown:

sin(angle) = opposite/hypotenuse

sin(22) = x/25

x = 25*sin(22)

x = 9.3651648353978

x = 9.4

Your calculator needs to be in degree mode. One way to check is to compute sin(30) and you should get 0.5 or 1/2.

3 0
2 years ago
The diagram shows a regular hexagon and a regular pentagon.
drek231 [11]

Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

<h3>What is a Regular Polygon?</h3>

A regular polygon is any n-sided polygon that has equal interior angles and equal sides.

Thus:

  • Each angle of a regular hexagon = 120°
  • Each angle of a regular pentagon = 108°

Therefore:

x = 360 - 120 - 108

x = 132°

Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

Learn more about regular polygon on:

brainly.com/question/1592456

6 0
2 years ago
How many times is 1 trillion greater than 1 billion
vodomira [7]

1 trillion can be written as 1,000,000,000,000

1 billion can be written as 1,000,000,000

There are 3 more 0’s in 1 trillion than there are in 1 billion, so therefore 1 trillion is 1,000 times greater than 1 billion.

If you have any further questions feel free to ask.

Hope this helps

8 0
3 years ago
Find the derivative of the following. please show the steps when you answer :1) f(x) = 8xe^x2) y= 5xe^x^43) f(x)= x^8+5/x4) f(t)
borishaifa [10]

Answer:

Since,

\frac{d}{dx}x^n = nx^{n-1}

\frac{d}{dx}(f(x).g(x)) = f(x).\frac{d}{dx}(g(x)) + g(x).\frac{d}{dx}(f(x))

\frac{d}{dx}(\frac{f(x)}{g(x)})=\frac{g(x).f'(x) - f(x) g'(x)}{(g(x))^2}

1) y = 8x e^x

Differentiating with respect to x,

\frac{dy}{dx}=8( x \times e^x + e^x) = 8(xe^x + e^x) = 8e^x(x+1)

2) y = 5x e^{x^4}

Differentiating w. r. t x,

\frac{dy}{dx}=5(x\times 4x^3 e^{x^4}+e^{x^4})=5e^{x^4}(4x^4+1)

3) y = x^8 + \frac{5}{x^4}

Differentiating w. r. t. x,

\frac{dy}{dx}=8x^7 - \frac{5}{x^5}\times 4 = 8x^7 - \frac{20}{x^5}=\frac{8x^{12}-20}{x^5}

4) f(t) = te^{11}-6t^5

Differentiating w. r. t. t,

f'(t) = e^{11} - 30t^4

5) g(p) = p\ln(2p+3)

Differentiating w. r. t. p,

g'(p) = p\frac{1}{2p+3}(2) + \ln(2p+3) = \frac{2p}{2p+3}+\ln(2p+3)

6) z = (te^{6t}+e^{5t})^7

Differentiating w. r. t. t,

\frac{dz}{dt}=7(te^{6t}+e^{5t})^6 ( 6te^{6t}+e^{6t} + 5e^{5t})

7) w =\frac{2y + y^2}{7+y}

Differentiating w. r. t. y,

\frac{dw}{dy} = \frac{(7+y)(2+2y)-(2y+y^2)}{(7+y)^2} = \frac{14 + 2y + 14y +2y^2 - 2y - y^2}{(7+y)^2}=\frac{14+14y+y^2}{(7+y)^2}

7 0
4 years ago
Homes in your neighborhood appreciates at a rare Of 3.5% annually. The family purchase a home in your neighborhood with a value
svet-max [94.6K]

Answer: it will take 13 years for the home to be valued at 250,000

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the value of the house after t years.

t represents the number of years.

b represents the initial value of the house.

r represents rate of growth.

From the information given,

b = 160000

y = 250000

r = 3.5% = 3.5/100 = 0.035

Therefore

250000 = 160000(1 + 0.035)^t

250000/160000 = (1.035)^t

1.5625 = (1.035)^t

Taking log of both sides to base 10

Log 1.5625 = log1.035^t = tlog1.035

0.1938 = t × 0.0149

t = 0.1938/0.0149

t = 13 years

8 0
3 years ago
Read 2 more answers
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