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Ber [7]
2 years ago
9

How many terms are in the polynomial abcd + e - h 2? two

Mathematics
1 answer:
a_sh-v [17]2 years ago
7 0

There are three terms in the polynomial.

Step-by-step explanation:

Given that,

A polynomial, abcd + e - h^ 2.

To find,

The number of terms in the polynomial.

Solution,

The number of terms in the polynomial are the number of unlike expressions that are separated by a minus or plus.

We have, abcd + e - h^ 2.

The terms are :

abcd, e,-h^2

It implies that there are three terms in the given polynomial.

Reference,

brainly.com/question/4458265

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A manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective
andriy [413]

Answer:

(a) P(X \leq 20) = 0.9319

(b) Expected number of defective light bulbs = 15

(c) Standard deviation of defective light bulbs = 3.67

Step-by-step explanation:

We are given that a manufacturer of Christmas light bulbs knows that 10% of these bulbs are defective. It is known that light bulbs are defective independently. A box of 150 bulbs is selected at random.

Firstly, the above situation can be represented through binomial distribution, i.e.;

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

where, n = number of samples taken = 150

            r = number of success

           p = probability of success which in our question is % of bulbs that

                  are defective, i.e. 10%

<em>Now, we can't calculate the required probability using binomial distribution because here n is very large(n > 30), so we will convert this distribution into normal distribution using continuity correction.</em>

So, Let X = No. of defective bulbs in a box

<u>Mean of X</u>, \mu = n \times p = 150 \times 0.10 = 15

<u>Standard deviation of X</u>, \sigma = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.7

So, X ~ N(\mu = 15, \sigma^{2} = 3.7^{2})

Now, the z score probability distribution is given by;

                Z = \frac{X-\mu}{\sigma} ~ N(0,1)

(a) Probability that this box will contain at most 20 defective light bulbs is given by = P(X \leq 20) = P(X < 20.5)  ---- using continuity correction

    P(X < 20.5) = P( \frac{X-\mu}{\sigma} < \frac{20.5-15}{3.7} ) = P(Z < 1.49) = 0.9319

(b) Expected number of defective light bulbs found in such boxes, on average is given by = E(X) = n \times p = 150 \times 0.10 = 15.

Standard deviation of defective light bulbs is given by = S.D. = \sqrt{np(1-p)} = \sqrt{150 \times 0.10 \times (1-0.10)} = 3.67

8 0
3 years ago
Can you show me the working out for the first list and give me the answers in the simplest forms for the second one
BabaBlast [244]
Sorry about my handwriting...
And I couldn't see thing whole thing...

5 0
3 years ago
The circumference of a circle is 3π in.
11111nata11111 [884]

Answer:

  2.25π in²

Step-by-step explanation:

The area can be found from the circumference using the formula ...

  A = C²/(4π)

Putting in the given dimension, you have ...

  A = (3π)²/(4π) = (9/4)π = 2.25 π . . . . in²

6 0
3 years ago
Please help! The answer to this is 2 but I don't know how to actually solve it so can someone please show the work for this?
s344n2d4d5 [400]

Answer:

2

Step-by-step explanation:

basically logarithms are like reverse exponents

log7, 49 is basically asking 7 to the what gets you 49

because of that its 2 because 7^2 gets you 49

4 0
2 years ago
Read 2 more answers
Find the equation of the line.<br> Use exact numbers.
iren2701 [21]

Answer:

y=3/4x -2

Step-by-step explanation:

I know the last box has a plus sign in front of it but it's still -2 since the y- intercept is at -2. It's the same thing but I just wanted to make sure you knew that in the last box, you still put -2.

Sorry if what I just said above is confusing, i don't know how to explain it better...

4 0
2 years ago
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