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3 years ago

If the measure of angle BDC=100°, measure of angle A = 50°, and measure of angle DBC= 30°. which statement is true?

Mathematics

1 answer:

expeople1 [14]3 years ago

7 0

B. triangle ABC is isosceles. The angles add up 180 degrees.

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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

Challenge: x(2)+9x+c<br><br>:-D

kvv77 [185]

Answer:

×(2)+9×+c

2×+9×+c =

11x+c

3 0

3 years ago

yawa3891 [41]

Answer:

Step-by-step explanation:

5 0

3 years ago

An item sells for $30 and is on sale for 15% off and the sales tax is 8.2%. What is the final cost to the nearest cent?

Ronch [10]

Answer:

$27.59

Step-by-step explanation:

1) First we calculate the sales tax:

30 x .15 = 4.5

30 - 4.5 = 25.5

2) Now we calculate sales tax

25.5 x .082 = 2.09

25.5 + 2.09 = $27.59

5 0

3 years ago

Read 2 more answers

PLEASE HELP 30 POINTS <br> Prove that AM is perpendicular to BD

ch4aika [34]

Answer:

Step-by-step explanation:

AM is perpendicular to BD because they from a right angle and the definition of perpendicular is when two lines meet they form a right angle. AM goes straight down and BD form the horizontal line. These two lines form a right angle so AM is perpendicular to BD.

3 0

3 years ago