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DiKsa [7]
3 years ago
13

Natalia has 15,000 centimeters of yarn. How many meters of yarn does she have?

Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0

Answer:

150 meters

Step-by-step explanation:

1 meter has 100 centimeters.

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The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes
Komok [63]
4%

To find the percentage, first find the area of both circles. The area formula is \pi  r^{2} . After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up: 

\frac{is}{of} =  \frac{percent}{100}


\frac{19.625}{490.625} =  \frac{percent}{100}


Cross multiplying and dividing by 490.625 will give a total of 4%.



4 0
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
Help please first with the right answer will be marked brainlyest
andre [41]
I believe this is correct

5 0
3 years ago
Read 2 more answers
Simplify the expression to a polynomial in standard form.<br> (x-2)(x2 +7x +4)
goldenfox [79]

Answer:

Step-by-step explanation:

(x  - 2)(x² + 7x + 4) = x(x² + 7x + 4) - 2*(x² + 7x + 4)

                              = x*x² + x*7x + 4*x  - 2*x² -2* 7x -2* 4

                               = x³ + 7x² + 4x - 2x²  -14x -8

                                = x³ + <u>7x² - 2x²</u>    <u>+  4x - 14x</u> - 8

                                = x³ + 5x² - 10x - 8

5 0
3 years ago
What else would need to be congruent to show that ABC = XYZ by ASA?
podryga [215]

The answer would be A because line CB is equivalent to ZY tight? And angles Z and C are congruent. We also know that they are congruent by a ASA relationship, <u><em>so then angles Y and B are congruent, the answer is A.</em></u>

5 0
3 years ago
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