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Brrunno [24]
3 years ago
7

Please help me!!!!! I can’t figure this question out

Mathematics
2 answers:
andrezito [222]3 years ago
4 0

Answer:

650

Step-by-step explanation:

Ghella [55]3 years ago
3 0

Answer:

well according to my calculations and if i am correct the Answer would be B

Step-by-step explanation:

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A 1,200g block of phosphorus-32, which has a half life of 14.3 days, is stored for 100.1 days. At the end of this period, how mu
Valentin [98]

Answer:

The amount of phosphorus-32 left after 100.1 days is <u>9.3 g</u>.

Step-by-step explanation:

Given:

Initial amount of Phosphorus-32 is, N_0=1200\ g

Time period of decay is, t=100.1\ days

Half life of the block is, t_{1/2}=14.3\ days

Now, final amount left is, N=?

We know that, the decay equation for a radioactive material is given as:

N=N_0e^{-kt}\\k\to decay\ constant

The value of the decay constant is given as:

k=\frac{\ln 2}{t_{1/2}}\\\\k=\frac{0.693}{14.3}=0.0485

Now, plug in all the given values and calculate 'N'. This gives,

N=(1200)e^{(-0.0485\times 100.1)}\\\\N=9.349\approx 9.3\ g

Therefore, the amount of phosphorus-32 left after 100.1 days is 9.3 g

5 0
3 years ago
What is 216847.314 rounded by the nearest liter
erica [24]
Jjnjjnjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

3 0
3 years ago
Exams are approaching and Helen is allocating time to studying for exams. She feels that with the appropriate amount of studying
svp [43]

Answer: 0.05

Step-by-step explanation:

Let M = Event of getting an A in Marketing class.

S = Event of getting an A in Spanish class,

i.e. P(M) = 0.80 , P(S) = 0.60 and P(M∩S)=0.45

Required probability = P(neither M nor S)

= P(M'∩S')

= P(M∪S)'                                 [∵P(A'∩B')=P(A∪B)']

=1- P(M∪S)                               [∵P(A')=1-P(A)]

= 1- (P(M)+P(S)- P(M∩S))   [∵P(A∪B)=P(A)+P(B)-P(A∩B)]

= 1- (0.80+0.60-0.45)

= 1- 0.95

= 0.05

hence, the probability that Helen does not get an A in either class= 0.05

3 0
3 years ago
Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and
cluponka [151]

Answer:

Thus, the expected value of points for Derek and Mia are \dfrac{-1}{9} and \dfrac{1}{9} respectively.

Step-by-step explanation:

Number of green marbles = 2 and Number of Yellow marbles = 1

Then, total number of marbles = 2+1 = 3

A person selects two marbles one after another after replacing them.

So, the probabilities of selecting different combinations of colors are,

1.\ P(GG)=P(G)\times P(G)\\\\P(GG)=\dfrac{2}{3}\times \dfrac{2}{3}\\\\P(GG)=\dfrac{4}{9}

2.\ P(GY)=P(G)\times P(Y)\\\\P(GY)=\dfrac{2}{3}\times \dfrac{1}{3}\\\\P(GY)=\dfrac{2}{9}

3.\ P(YG)=P(Y)\times P(G)\\\\P(YG)=\dfrac{1}{3}\times \dfrac{2}{3}\\\\P(YG)=\dfrac{2}{9}

4.\ P(YY)=P(Y)\times P(Y)\\\\P(YY)=\dfrac{1}{3}\times \dfrac{1}{3}\\\\P(YY)=\dfrac{1}{9}

Now, we have that,

If two marbles are of same color, then Mia gains 1 point and Derek loses 1 point.

If two marbles are of different color, then Derek gains 1 point and Mia loses 1 point.

<h3>Also, the expected value of a random variable X is E(X)=\sum_{i=1}^{n} x_i\times P(x_i).</h3>

Then, the expected value of points for Derek is,

E(D)= (-1)\times \dfrac{4}{9}+1\times \dfrac{2}{9}+1\times \dfrac{2}{9}+(-1)\times \dfrac{1}{9}\\\\E(D)= \dfrac{-5}{9}+\dfrac{4}{9}\\\\E(D)=\dfrac{-1}{9}

And the expected value of points for Mia is,

E(M)= 1\times \dfrac{4}{9}+(-1)\times \dfrac{2}{9}+(-1)\times \dfrac{2}{9}+1\times \dfrac{1}{9}\\\\E(M)= \dfrac{5}{9}-\dfrac{4}{9}\\\\E(M)=\dfrac{1}{9}.

Thus, the expected value of points for Derek and Mia are \dfrac{-1}{9} and \dfrac{1}{9} respectively.

8 0
3 years ago
Read 2 more answers
Which is a solution to (x − 2)(x + 10) = 13?
Radda [10]

Answer:

3

Step-by-step explanation:

3-2=1

3+10=13

1x13=13

5 0
3 years ago
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