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3 years ago

What is the value of b?

Mathematics

1 answer:

Evgen [1.6K]3 years ago

6 0

Answer:

$b = \sqrt{ {c}^{2} - {a}^{ {2} } }$

$b = \sqrt{ {34}^{2} - {16}^{2} }$

$b = \sqrt{1156 - 256}$

$b = \sqrt{900}$

$b = 30$

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Out of six computer chips, two are defective. If two chips are randomly chosen for testing (without replacement), compute the pr

Ratling [72]

Answer:

The probability that of the two chips selected both are defective is 0.1089.

Step-by-step explanation:

Let X = number of defective chips.

It is provided that there are 2 defective chips among 6 chips.

The probability of selecting a defective chip is:

$P(X)=p=\frac{2}{6}=0.33$

A sample of n = 2 chips are selected.

The random variable X follows a Binomial distribution with parameter n = 2 and p = 0.33.

The probability function of a Binomial distribution is:

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

Compute the probability that of the two chips selected both are defective as follows:

$P(X=2)={2\choose 2}(0.33)^{2}(1-0.33)^{2-2}=1\times 0.1089\times 1=0.1089$

Thus, the probability that of the two chips selected both are defective is 0.1089.

The sample space of selecting two chips is:

S = (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5)

3 0

3 years ago

Iff a/b is a rational number, what does b have to equal in order for a/b to also be an integer

postnew [5]

You're thinking b=1 will always give an integer, certainly true.

Then you think b=-1 will also always give an integer, so

Answer: ±1

Then you remember that a/b may not be a reduced fraction, so other bs beside the unit make give integers. The condition for an integer is

b | a

read 'b divides a' meaning a is a multiple of b.

Then you realize that a and b might not even b integers themselves.

Let's say the above answer is correct with the additional criteria that a and b are integers with no common factors.

4 0

3 years ago

Read 2 more answers

How many triangles exist with the given angle measures 55,45,90 degrees

const2013 [10]

Answer: The correct answer is B.

The first thing to check is the sum of the angles. 32 + 51 + 97 = 180. Therefore, the sides equal 180 and we can have a triangle because all triangles have exactly 180 degrees.

Second, the number of triangles with these measures is endless. Imagine taking the initial triangle and doubling the size. The angles don't change but the triangle does. We could keep doubling the size forever.

3 0

3 years ago

Can the mean value theorum be applied to the function f(x)=1/x^2 on the interval [-2, 1]? Explain.

Temka [501]

Answer:

No, it can not be applied.

Step-by-step explanation:

f(x) = 1/x²

f(x) is a polynomial that is not continuous

As,

f(x) = 1/0 is undefines

Secondly, it is not differentiable (i.e. the derivative does not exists on the interval given)

Derivative of this function

f'(x) = (1)x^-2

= -2x^(-2-1)

= -2x^(-3)

= -2/x³

f'(0) = -2/0 is undefined

Thus, mean value theorem can not be applied.

7 0

4 years ago

Asap answer plssss!, John can do a piece of work in 6 days. When he and Marsha work together, it takes only 4 days. How long wil

BartSMP [9]

Answer:

12 days

Step-by-step explanation:

Let the amount of work be x.

John:

6 days = x

1 day = $\frac{1}{6}$ x

Together:

4 days = x

1 day = $\frac{1}{4}$ x

Marsha:

1 day = $\frac{1}{4}$ x - $\frac{1}{6}$ x

= $\frac{6}{24}$ x - $\frac{4}{24}$ x

= $\frac{2}{24}$ x

= $\frac{1}{12}$ x

Marsha can do $\frac{1}{12}$ of the work in 1 day.

No. of days taken (Marsha) = x ÷ $\frac{1}{12}$ x

= 12

8 0

3 years ago