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dexar [7]
3 years ago
7

The price of a technology stock was $9.83 yesterday. Today, the price fell to $9.70. Find the percentage decrease. Round your an

swer to the nearest tenth of a percent.
Mathematics
1 answer:
Ratling [72]3 years ago
3 0
(9.70-9.83)/9.83 = 1.3% decrease
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3 years ago
Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10
AnnyKZ [126]

Answer:

a)P=0.42

b) n\geq 297

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}

a) we have k=2, n=10 and p=0.01:

P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42

b) We have, 1-(1-p)^n=P, Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297

4 0
3 years ago
Need help!!!<br> What is the real part of z?<br><br> What is the imaginary part of z?
Andrej [43]

Step-by-step explanation:

z_z=wdyxdhxfbxtbxfhcthcdybxfjcdtcxtbxdgcdtgxrbxdh cg cgbcyv

7 0
3 years ago
Jillian invested $2000 in an account with a 1.25% annual
Dennis_Churaev [7]

Answer:

the balance is 2075 dollars

Step-by-step explanation:

The answer is 2075 because 1.25% of 2000 is 25 and 25 multiplied by 3 is 75 and 75 plus 2000 is 2075.

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5 0
3 years ago
What is the area of a sector with a central angle of \frac{5 \pi }{6} radians and a diameter of 5.6 in.? Use 3.14 for π and roun
kvasek [131]

Answer:

10.26 in²

Step-by-step explanation:

The area (A) of the sector is

A = area of circle × fraction of circle

  = πr² × \frac{\frac{5\pi }{6} }{2\pi }

  = π × 2.8² × \frac{5}{12} ≈ 10.26 in²

7 0
3 years ago
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