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4 years ago

A box contains 17 transistors, 3 of which are defective. If 3 are selected at random, find the probability that

Mathematics

2 answers:

Margarita [4]4 years ago

6 0

B none are defective

My name is Ann [436]4 years ago

3 0

Use Binomial Theorem
$P(x=k) = (nCk) p^k (1-p)^{n-k}$
Where k is number that are defective, n is total selected (3), and p is probability that a transistor is defective (3/17).

a) All are defective means k = 3
$P = (3C3) (\frac{3}{17})^3 (\frac{14}{17})^0 = (\frac{3}{17})^3 = 0.0055$

b) None are defective means k = 0
$P = (3C0) (\frac{3}{17})^0 (\frac{14}{17})^3 = (\frac{14}{17})^3 = 0.5585$

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A rectangle school banner has a length of 44 inches, a perimeter of 156 inches , and an area of 1496 square inches. The cheerlea

Andrej [43]

Based on the lengths, the cheerleaders' banner is scaled down by a factor of 4.

So, 44 ÷ 4 = 11.

For the perimeter, 156 ÷ 4 is 39.

For the area, you have to do A=bh
(Area = base × height)

The base (length) is 11 inches, multiply that by two to get 22 inches which is the amount for both lengths. If the total perimeter is 39, you have to subtract 22 from that to get the remaining inches which is 17.
17÷2= 8.5 inches. The height is 8.5.

Now you can plug them in
A=bh
A=(11)(8.5)
A=93.5 in^2

The final answer is:
Area = 93.5 in^2
Length = 11 in
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I hope that helps!

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3 years ago

If a varies inversely as the cube root of b and a=1 when b=64, find b

Mrrafil [7]

Answer:

b = 64/a³

Step-by-step explanation:

Using the given information, we can only find a relation between a and b. We cannot find any specific value for b.

Since a varies inversely as the cube root of b, we have ...

a = k/∛b

Multiplying by ∛b lets us find the value of k:

k = a·∛b = 1·∛64 = 4

Taking the cube of this equation gives ...

64 = a³b

b = 64/a³ . . . . . divide by a³

The value of b is ...

b = 64/a³

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3 years ago

PLease dont answer if you dont know...<br> Use the Law of Sines to find side "b" of the triangle.

alexdok [17]

Using the law of sins:

side a / sin (angle A) = side b / sin(Angle B)

Side a is opposite angle A, so from the picture we know side a = 50, angle A is 58 degrees and angle B is 48 degrees.

replace those values in the formula we get:

50 / sin(58) = b/ sin(48)

so now we can cross multiply the 2 fractions to get:

50 * sin(48) = b*sin(58)

to get b by itself, divide both sides by sin(58) to get:

b = (50*sin(48)) / sin(58)

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You may need to round the answer as needed.

4 0

4 years ago

If the third term of an A.p. is 5 and the seventh term is 9 find the 17th number

Schach [20]

Here,

Third term (a) = 5

Seventh term (b) = 9

17th number = ?

Now,

T3 = a + 2d

5 = a + 2d

d = (5 - a)/2 ------ 1.

T7 = a + 6d

9 = a + 6d

d = (9 - a)/6 ------- 2.

Combining eq (1) and (2)

or, (5 - a)/2 = (9 - a)/6

or, 6 (5 - a) = 2 (9 -a)

or, 30 - 6a = 18 - 2a

or, 12 = 4a

◆ a = 3

putting the value of a in eq (1)

or, d = (5 - 3)/2

or, d = 2/2

◆ d = 1

Then,

T17 = a + 16d

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= 19

◆ T17 = 19

I hope you understand...

This is Right answer...

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7 0

3 years ago

-3 + (-8)<br> how can i do this

murzikaleks [220]

Answer: -11

Step-by-step explanation:

+(-8) can be simplified to -8 because when you multiply a positive sign by a negative sign, the outcome is a negative sign. So your problem is -3-8= and the answer is -11 because when two numbers with the same sign are subtracted/added by each other, the numbers just get added and the sign stays the same. If you're still confused, use a number line. Hope this helps!

6 0

3 years ago

A box contains 17 ​transistors, 3 of which are defective. If 3 are selected at​ random, find the probability that

A box contains 17 transistors, 3 of which are defective. If 3 are selected at random, find the probability that