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Rasek [7]
3 years ago
8

Find the value of x 90, 68 2x

Mathematics
1 answer:
Ivan3 years ago
8 0

Answer:

2x + x +90= 180 We will add 2x + x=3x We get 3x + 90 =180 Now we subtract 3x = 180–90 ... x=30, for confirmation put value of x =30in equation and verify. LHS=RHS. Thats it. 68 views.

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Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly sele
Serhud [2]

Answer:

The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

Step-by-step explanation:

The outcomes provided are:

(A) 0, 1, 2, 6, 7, 8

(B) 0, 1, 2, 7, 8

(C) 0, 1, 7, 8

(D) 0, 1, 2, 8

Solution:

The random variable <em>X</em> can be defined as the number of employees who judge their co-workers by cleanliness.

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

P (X) = 0.65

The number of employees selected is:

<em>n</em> = 8

An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.

Since outcomes 0 and 1 are contained in all the options, we will check for <em>X</em> = 2.

Compute the value of P (X = 2) as follows:

P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}

                =28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022

So <em>X</em> = 2 is unusual.

Similarly check for X = 6, 7 and 8.

P (X = 6) = 0.2587 > 0.05

X = 6 not unusual

P (X = 7) = 0.1373 > 0.05

X = 7 not unusual

P (X = 8) = 0.0319

X = 8 is unusual.

Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.

3 0
3 years ago
The total cost to rent a row boat is $16 times the number of hours the boat is used. Write an equation to model this situation i
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

hope this helps :)

7 0
2 years ago
every tenth visitor to an ice cream shop gets free sprinkler. every twelvth visitor gets free hot fudge. which visitor each day
DENIUS [597]


person number 60

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