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Damm [24]
2 years ago
14

How do I solve this? Please help

Mathematics
1 answer:
quester [9]2 years ago
5 0
Filling in the boxes:
Top row outside box: 3c and 8
Second row outside box: - or -1
Inside box: -3c and -8

Expanded: -3c - 8

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A company that produces fine crystal knows from experience that 13% of its goblets have cosmetic flaws and must be classified as
Kisachek [45]

Answer:

(a) The probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b) The probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

(c) The probability that at most five must be selected to find four that are not seconds is 0.9453.

Step-by-step explanation:

Let <em>X</em> = number of seconds in the batch.

The probability of the random variable <em>X</em> is, <em>p</em> = 0.31.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

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

(a)

Compute the probability that only one goblet is a second among six randomly selected goblets as follows:

P(X=1)={6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=6\times 0.13\times 0.4984\\=0.3888

Thus, the probability that only one goblet is a second among six randomly selected goblets is 0.3888.

(b)

Compute the probability that at least two goblet is a second among six randomly selected goblets as follows:

P (X ≥ 2) = 1 - P (X < 2)

              =1-{6\choose 0}0.13^{0}(1-0.13)^{6-0}-{6\choose 1}0.13^{1}(1-0.13)^{6-1}\\=1-0.4336+0.3888\\=0.1776

Thus, the probability that at least two goblet is a second among six randomly selected goblets is 0.1776.

(c)

If goblets are examined one by one then to find four that are not seconds we need to select either 4 goblets that are not seconds or 5 goblets including only 1 second.

P (4 not seconds) = P (X = 0; n = 4) + P (X = 1; n = 5)

                            ={4\choose 0}0.13^{0}(1-0.13)^{4-0}+{5\choose 1}0.13^{1}(1-0.13)^{5-1}\\=0.5729+0.3724\\=0.9453

Thus, the probability that at most five must be selected to find four that are not seconds is 0.9453.

8 0
3 years ago
Calculate the value of X in the diagram​
Andrew [12]

Answer:

EA =  \frac{21 \times 15}{7}  = 45 \\ { \tt{ \frac{21}{7}   =  \frac{x}{45} }} \\ x = 135

5 0
3 years ago
1.Which equation gives the direct variation if y=8 when x=2?
Mama L [17]
First one is y=4x and the second one is y=2x
3 0
3 years ago
$100 is invested at 12% per year. If the amount is compounded annually, write the total amount after 2 years in exponential func
Sladkaya [172]

Answer:

A = $100(1.12)^2

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

n = number of times compounded yearly.

t = time of investment in years

For this case;

P = $100

t = 2years

n = 1

r = 12% = 0.12

Substituting the values, we have;

A = $100(1+0.12)^(2)

A = $100(1.12)^2

7 0
3 years ago
An orchard sells 4 pounds of apples for one dollar how much would 5 pounds of apples cost
Mrac [35]

Answer:

1.25

Step-by-step explanation:4 pounds equal to 1 dollar so that means that each pound equals to 0.25 cents. SO, now you multiply 0.25 x 5= 1.25

5 0
2 years ago
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