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skelet666 [1.2K]
3 years ago
10

I need help with all of these plz some one help

Mathematics
1 answer:
Vitek1552 [10]3 years ago
4 0
1. f(5)=-39

2. g(-2)= -21

4. f(7)=19

9. x=7

Please vote my answer brainliest. thanks!
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A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 17 randomly selected pens yield
Leno4ka [110]

Answer:

0.762 = 76.2% probability that this shipment is accepted

Step-by-step explanation:

For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

17 randomly selected pens

This means that n = 17

(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)

This is P(X \leq 2) when p = 0.1. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{17,0}.(0.1)^{0}.(0.9)^{17} = 0.167

P(X = 1) = C_{17,1}.(0.1)^{1}.(0.9)^{16} = 0.315

P(X = 2) = C_{17,2}.(0.1)^{2}.(0.9)^{15} = 0.280

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.167 + 0.315 + 0.280 = 0.762

0.762 = 76.2% probability that this shipment is accepted

8 0
3 years ago
K-ーーーーーー-8 cm一ーーーーーH<br> :孙<br> Cm<br> 그 :cm<br> T<br> 勺
marta [7]
Dunno Dont Care !!!!!!!!
3 0
3 years ago
A house painter was told by his boss to purchase enough paint to cover 75 square feet to finish a project. The house painter hap
Rama09 [41]
It must be noted that the area of the square is calculated through the equation,
                                    A = s²
where A is area and s is the measure of one side of the square. 
To determine the measure of one side of the square, we simply have to get the square root of the area,
                                               s = √A
Substituting the known value,
                                                s = √75 ft² = 5√3 ft ≈ 8.66 cm
Thus, the answer to this question is approximately 8.66 cm. 
7 0
3 years ago
Read 2 more answers
Quadrilateral EFGH is on a coordinate plane.Segment GH is on the line 2x+y=2, and segment FE is on the line 2x+y=4. Which statem
avanturin [10]

Answer: OPTION D.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

You know that the segment GH is on this line:

2x+y=2

Solving for "y", you get:

y=-2x+2

So you can identify that:

m=-2\\b=2

The segment FE is on this line:

2x+y=4

Solving for "y", you get:

y=-2x+4

Then you can identify that:

m=-2\\b=4

As you can notice, the lines have the same slope of -2. This means that they are parallel.

4 0
3 years ago
Read 2 more answers
A tank currently holds 5 gallons of water.it is being filled at the rate of 1/4 gallon per minute.how long will it take for the
LenKa [72]

Answer:

16 minutes

Step-by-step explanation:

Because the tank already holds 5 gallons of water, you only need to find the number of minutes to fill 4 gallons of water.

Because it fills at a rate of 1/4 gallons a minute, it takes 4 minutes per gallon of water.

Since we are dealing with 4 gallons of water to be filled, we multiply 4 · 4 to get the number of minutes.

4 · 4 = 16

16 minutes

8 0
3 years ago
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