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MakcuM [25]
2 years ago
6

A vase contains 4 pink roses, 8 red roses, and 10 white roses. Two roses are randomly selected from the vase one at a time, with

out replacement. What is the probability that both roses selected are red?
1. 14/121
2. 4/33
3. 32/231
4. 35/231
Mathematics
1 answer:
alisha [4.7K]2 years ago
7 0
There are 22 roses in the vase 
probability of first selecting a red rose = 8/22 = 4/11

P( second one is red) = 7/21 = 1/3

these probabilities are multiplied because the individual picks are independent
 so the answer is 4/11 * 1/4  = 4/33
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look at this equation and the steps used to solve it. Which answer is the best justification for step 1 of this solution
Julli [10]

Answer:

Step-by-step explanation:

4 0
3 years ago
When a person is breathing normally the amount of air in their lawns varies sinusoidally. When full Karen’s lungs hold 2.8 L of
makkiz [27]

Answer:

A(t) = 2.2\sin \frac{(t - 2)\pi }{6} + 0.6

Step-by-step explanation:

Let the function of quantity in the lung of air be A(t)

So A(t) \alpha \sin (\frac{t - \alpha }{k} )

so, A(t) = Amax sin t + b

A(t) = 2.8t⇒ max

A(t) = 0.6t ⇒ min

max value of A(t) occur when sin(t) = 1

and min value of A(t) = 0

So b = 0.6

and A(max) = 2.2

A(t) = 2.2\sin \frac{(t)}{k} + 0.6

at t = 2 sec volume of a is 0.6

So function reduce to

A(t) = 2.2\sin \frac{(t - 2)}{k} + 0.6

and t = 5 max value of volume is represent

so,

\sin \frac{t - \alpha }{k} = 1

\frac{t - 2}{k} = \frac{\pi }{2} when t = 5

\frac{6}{\pi } = k

so the equation becomes

A(t) = 2.2\sin \frac{(t - 2)\pi }{6} + 0.6

7 0
3 years ago
Adisa borrows $5,000 at 14% interest, compounded twice a year. How much does she owe at the end of 8 years?
N76 [4]

The borrower owes $14,760.82  at the end of 8 years

What is compounding interest?

Compounding interest means that earlier interest would earn more interest in the future alongside the loan principal.

Note that in this case the loan continues to accumulate interest because there no repayments, in other words, the loan balance after 8 years, which comprises of the principal and interest for 8 years can be computed using the future value formula of a single cash flow(the single cash flow is the principal) as shown thus:

FV=PV*(1+r/n)^(n*t)

FV=loan balance after 8 years=unknown

PV=loan amount=$5,000

r=annual interest=14%

n=number of times in a year that interest is compounded=2(twice a year)

t=loan period=8 years

FV=$5000*(1+14%/2)^(2*8)

FV=$5000*(1.07)^16

FV=$5000*2.95216374856541

FV=loan balance after 8 years=$14,760.82

Find out more about semiannual compounding on:brainly.com/question/7219541.

#SPJ1

4 0
2 years ago
HELPPPP PLEASEEEeeeeeee
sergij07 [2.7K]

Answer:

I think it is non proportional

5 0
3 years ago
Read 2 more answers
Use the equation
Cerrena [4.2K]

Answer:-  The pressure 'p' will be infinity at volume 'V'=0.

Explanation:-

The given equation :- p=\frac{8.31}{V} where p is a rational function dependent on V.

A rational function is undefined for denominator = 0.

In the given function V is the denominator , if V=0 then the function will be undefined.

⇒ p will approach to zero at V=0.

For assistance see the attachment , the graph of the given function represented by vertical assymptote which approaches to 0 but never touches it..

7 0
2 years ago
Read 2 more answers
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