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3 years ago

I will give u brainliest

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

3 0

Answer:

1 & 2 = Right Triangles

3 & 4 = Not Right Triangles

Step-by-step explanation:

Solved Using Pythagorean Theorem:

1) $9^{2} + 12^{2}$ = 225

$15^{2}$ = 225

2) $15^{2} + 36^{2}$ = 1521

$39^{2}$ = 1521

3) $10^{2} + 26^{2}$ = 776

$28^{2}$ = 784

4) $10^{2} + 12^{2}$ = 244

$16^{2}$ = 256

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A company that produces fine crystal knows from experience that 13% of its goblets have cosmetic flaws and must be classified as

Kisachek [45]

Answer:

(a) The probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b) The probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

Step-by-step explanation:

Let X = number of seconds in the batch.

The probability of the random variable X is, p = 0.31.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

(a)

Compute the probability that only one goblet is a second among six randomly selected goblets as follows:

$P(X=1)={6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=6\times 0.13\times 0.4984\\=0.3888$

Thus, the probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b)

Compute the probability that at least two goblet is a second among six randomly selected goblets as follows:

P (X ≥ 2) = 1 - P (X < 2)

$=1-{6\choose 0}0.13^{0}(1-0.13)^{6-0}-{6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=1-0.4336+0.3888\\=0.1776$

Thus, the probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

(c)

If goblets are examined one by one then to find four that are not seconds we need to select either 4 goblets that are not seconds or 5 goblets including only 1 second.

P (4 not seconds) = P (X = 0; n = 4) + P (X = 1; n = 5)

$={4\choose 0}0.13^{0}(1-0.13)^{4-0}+{5\choose 1}0.13^{1}(1-0.13)^{5-1}\\=0.5729+0.3724\\=0.9453$

Thus, the probability that at most five must be selected to find four that are not seconds is 0.9453.

8 0

3 years ago

What is the value of x?

ASHA 777 [7]

The answer is 20

the scale factor is 1.25 (to find that out do 12.5/10) then multiply 16 by 1.25 and you get 20.

7 0

2 years ago

Read 2 more answers

Suppose that x and y vary inversely, and x = 12 when y = 8 . Write the function that models the inverse variation.

Alja [10]

Answer:

$y=\frac{96}{x}$

Step-by-step explanation:

So when x and y, vary inversely, it means that the product of x and y will remain constant such that: $xy=c$ . This means that the function can be defined as $y=\frac{c}{x}$ by dividing both sides by x. In this case x=12, and y=8, this means the constant is equal to 12 * 8 which is 96. So we have the equation: $xy = 96$ , which can be defined as $y=\frac{96}{x}$

7 0

1 year ago

RIDDLE ME THIS Fresh and invigorated after completing her algebra homework, Mimi appeared at the living room door. She held a pi

Marat540 [252]

Answer:

Mimi is 15.

Step-by-step explanation:

Set up two equations, and solve by elimination.

2(m+5) = d+5

- 3(m-5) = d-5

_____________

2(m+5) - 3(m-5) = 10

2m + 10 - 3m + 15 = 10

-m + 25 = 10

-m = -15

m = 15

Plug this back in to get dad's age.

2(m+5) = d+5

2(15+5) = d + 5

2(20) = d + 5

40 = d + 5

d = 35

8 0

3 years ago

There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being

Natalija [7]

Well, the keyword here is One of the performers insist on being the last.

So, the amount of performers that we can arrange freely is 7 performers.

Different ways we can schedule their appearance is :

7 ! = 7 x 6 x 5 x 4 x 3 x 2 x 1

= 5040

hope this helps

5 0

3 years ago