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3 years ago

Which number is IRRATIONAL?

Mathematics

1 answer:

Ede4ka [16]3 years ago

8 0

Answer:D

Step-by-step explanation:

The answer is D because all the others are perfect squares

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The sale bin in a clothing store contains an assortment of t-shirts in different sizes. There are 7 small, 8 medium, and 4 large

umka21 [38]

Answer:

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

Step-by-step explanation:

We have 7 small shirts, 8 medium shirts and 4 large shirts

Total number of shirts = 7 + 8 + 4 = 19 shirts

The probability that at least one of the first four shirts he checks is a large is given by

P(at least 1 large) = 1 - P(no large)

So first we need to find the probability that the none of the first four shirts he checks are large.

For the first check, there are 15 small and medium shirts and total 19 shirts so,

15/19

For the second check, there are 14 small and medium shirts and total 18 shirts left so,

14/18

For the third check, there are 13 small and medium shirts and total 17 shirts left so,

13/17

For the forth check, there are 12 small and medium shirts and total 16 shirts left so,

12/16

the probability of not finding the large shirt is,

P(no large) = 15/19*14/18*13/17*12/16

P(no large) = 0.352

Therefore, the probability of finding at least one large shirt is,

P(at least 1 large) = 1 - P(no large)

P(at least 1 large) = 1 - 0.352

P(at least 1 large) = 0.648

P(at least 1 large) = 64.8%

4 0

3 years ago

Find the zeros of the polynomial function and state the multiplicity of each.

Oksi-84 [34.3K]

Answer:

a) 8, multiplicity 2; 8, multiplicity 3

Step-by-step explanation:

Remember that a is a zero of the polynomial f(x) if f(a)=0 and has multiplicity n if the termn (x-a) is n times in the factorization of f(x).

We have that

$f(x)=3(x + 8)^2(x - 8)^3$

Observe that

1. $f(-8)=3(-8 + 8)^2(-8 - 8)^3=3*0*(-16)^3=0$

and (x+8) appear two times in the factorization of f(x). Then -8 is a zero of f(x) with multiplicity 2.

2. $f(8)=3(8 + 8)^2(8 - 8)^3=3*16^2*0^3=0$

and and (x - 8) appear three times in the factorization of f(x). Then 8 is a zero of f(x) with multiplicity 3.

Since f(x) has degree 5 and the sum of the multiplicities is 5 then f(x) hasn't more zeros.

7 0

3 years ago

Suppose that a customer service center claims that the telephone calls it receives last 112 seconds on average, with a standard

adoni [48]

Answer:

95% Confidence interval: (111.02,112.98)

Step-by-step explanation:

Average = 112 seconds

Standard Deviation = 9 seconds

n = 324

Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

$112 \pm 1.96(\frac{9}{\sqrt{324}} ) = 112 \pm 0.98 = (111.02,112.98)$

5 0

4 years ago

U/3-8=20. simplify your answer as much as possible

lozanna [386]

Answer:

U = 84

1. 20+8 = 28

2. 28x3 = 84

u = 84

4 0

3 years ago

What word problem can be created from equation 3x=42

avanturin [10]

Answer:

Three multiplied by X equals 42.

Also, not sure if you need this, but, X=14

5 0

3 years ago