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Semmy [17]
4 years ago
12

Kevin works for a company that manufactures solar panels. In a large batch of solar panels, about 1 in 200 is defective. Suppose

that Kevin selects a random sample of six solar panels from this batch. What is the probability that none of the solar panels are defective?
Mathematics
1 answer:
jenyasd209 [6]4 years ago
5 0

Answer:

probability that none of the solar panels are defective = 0.97

Step-by-step explanation:

Proportion of solar panels that are defective, p = 1/200 = 0.005

Proportion of solar panels that are not defective, q = 1 - p = 1 - 0.005

q = 0.995

Sample size, n = 6

probability that none of the solar panels are defective, P(X=0)

Note: P(X=r) = nCr p^{r} q^{n-r}

P(X=0) = 6C0 * 0.005^{0} * 0.995^{6-0}\\P(X=0) = 6C0 * 0.005^{0} * 0.995^{6}\\P(X=0) = 1 * 1 * 0.9704\\P(X=0) = 0.97

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Bezzdna [24]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Using formula:

\text{Simple Interest} = \frac{P \times R \times T}{100} \\\\\text{ Total amount} = \text{principle}+  \text{Simple Interest}

In question (1):

Principle= \$ 600\\Rate = \ 8 \%\\Time= \ 5

In point a:

\to \frac{P \times R \times T}{100} \\\\\to \frac{(600 \times  8 \times 5)}{100}\\\\ \to  240

In point b:

\to amount = principle \ +\ simple \ interest

                 = 600 + 240 \\\\= 840

In question (2):

Principle= \$ 12,450\\Rate = \ 7.25 \%\\Time= \ 6

In point a:

\to \frac{P \times R \times T}{100} \\\\\to \frac{(12,450 \times  7.25 \times 6)}{100}\\\\ \to  5,415.75

In point b:

\to amount = principle \ +\ simple \ interest

                 = 12,450 + 5,415.75 \\\\= 17,865.75

The 3 question is incomplete, that's why it can't be solved.

7 0
3 years ago
Please help this is due tonight and there is more to this
GrogVix [38]

Answer:

1/8

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Evaluate................
wolverine [178]

Answer:

h(8q²-2q) = 56q² -10q

k(2q²+3q) = 16q² +31q

Step-by-step explanation:

1. Replace x in the function definition with the function's argument, then simplify.

h(x) = 7x +4q

h(8q² -2q) = 7(8q² -2q) +4q = 56q² -14q +4q = 56q² -10q

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2. Same as the first problem.

k(x) = 8x +7q

k(2q² +3q) = 8(2q² +3q) +7q = 16q² +24q +7q = 16q² +31q

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Comment on the problem

In each case, the function definition says the function is not a function of q; it is only a function of x. It is h(x), not h(x, q). Thus the "q" in the function definition should be considered to be a literal not to be affected by any value x may have. It could be considered another way to write z, for example. In that case, the function would evaluate to ...

h(8q² -2q) = 56q² -14q +4z

and replacing q with some value (say, 2) would give 196+4z, a value that still has z as a separate entity.

In short, I believe the offered answers are misleading with respect to how you would treat function definitions in the real world.

7 0
3 years ago
An Account grows at an annual interest rate, it grows by a factor of x=1 + r each year. The function A(x)=800x^4 + 350x^3 + 500x
Marina86 [1]

Answer:

Applying the formula, it is found that the total amount in the account will be of $2,431.3. I THINK

Step-by-step explanation:

IM NOT SURE!

7 0
2 years ago
Read 2 more answers
Samuel bought 32 and 1/2 ft of window trim at a hardware store the trim cost $1.75 per foot including sales tax if Samuel paid w
Sergio [31]

Answer:

The amount of change he should received is

$100 - $56.875

= $43.125

= $43.13

Step-by-step explanation:

Length of window trim = 32 and 1/2 ft

Cost per foot = $1.75

Amount paid = $100

Total cost of window trim = 32.5×1.75 = $56.875

The amount of change he should received is

$100 - $56.875

= $43.125

= $43.13

8 0
3 years ago
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