A model rocket consists of a cone on top of a cylinder.

Rama09 [41]

Rewrite the given quadratic equation in standard form: Kx 2 + 2x - 1 = 0

Discriminant = 4 - 4(K)(-1) = 4 + 4K

For the equation to have two real solutions, the discriminant has to be positive. Hence we need to solve the inequality 4 + 4K > 0.

The solution set to the above inequality is given by: K > -1 for which the given equation has two real solutions.

3 0

3 years ago

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Computer keyboard failures are due to faulty electrical connects (12%) or mechanical defects (88%). Mechanical defects are relat

anzhelika [568]

Answer:

(c) Probability that a failure is due to loose keys = 0.2376

(d) Probability that a failure is due to improperly connected or poorly welded wires = 0.078

Step-by-step explanation:

The Whole probability scenario is given for Computer Keyboard failures.

(a) Let F be the event of failure due to faulty electrical connects, P(F) = 0.12

M be the event of failure due to mechanical defects, P(M) = 0.88

LK be the event of mechanical defect due to loose keys, P(LK/M) = 0.27

IA be the event of mechanical defect due to improper assembly, P(IA/M) =0.73

DW be the event of electrical connects due to defective wires,P(DW/F) = 0.35

IC be the event of electrical connects due to improper connections,

P(IC/F) = 0.13 .

PWW be the event of electrical connects due to poorly welded wires,

P(PWW/F) = 0.52

(b) Keyboard failures

Faulty electrical connects Mechanical Defects

P(F) = 0.12 P(M) = 0.88

Defective wires Improper Poorly Loose Keys Improper

P(DW/F)=0.35 Connections Welded wires P(LK/M)=0.27 Assembly

P(IC/F)=0.13 P(PWW/F)=0.52 P(IA/M)=0.73

This is the required tree diagram.

(c) Probability that a failure is due to loose keys is given by:

P(LK) =P(LK/M) * P(M) {This means mechanical failure is due to loose

keys}

P(LK) = 0.27 * 0.88 = 0.2376 .

(d) Probability that a failure is due to improperly connected or poorly welded

wires is given by P(IC $\bigcup$ PWW) ;

P(IC $\bigcup$ PWW) = P(IC) + P(PWW) - P(IC $\bigcap$ PWW) { Here P(IC $\bigcap$ PWW) = 0 }

P(IC) = P(IC/F) * P(F) = 0.13 * 0.12 = 0.0156

P(PWW) = P(PWW/F) * P(F) = 0.52 * 0.13 = 0.0676

Therefore, P(IC $\bigcup$ PWW) = 0.0156 + 0.0676 - 0 = 0.078 .

8 0

3 years ago

Put the following steps for executing a stock trade in order. What is the order? 2,4,1,3?

Temka [501]

Answer:

The answer would be 1,2,4,3

Step-by-step explanation:

I just took a quiz with this same question :)

4 0

3 years ago

Marshall began making a grilled cheese sandwich at 6:13 P.M. The sandwich was ready at 6:24 P.M. How long did it take Marshall t

jasenka [17]

It took him 11 minutes.

3 0

3 years ago

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Clare follows the same workout cycle each time she goes to the gym. First, she runs for 1 3 of an hour. Then, she lifts weights

____ [38]

Answer:

3 times

Step-by-step explanation:

She has 1 1/2 hour to spend in the gym.

1 hr = 60 minute

1/2 of an hour

= 1/2 * 60

= 30 minutes.

In total, she spends 90 minutes in the gym.

If 1/3 of an hour is meant in running, it translates into;

1/3 * 60 = 20 minutes

If 1/6 of an hour is spent in weight-lifting, it translates into;

1/6 * 60 = 10 minutes

In total, she spends,

20 minutes + 10 minutes = 30 minutes for both activities.

To obtain the number of times she would perform both activities, we divide the total amount of time spent in the gym by the amount of time spent for both activities.

= 90 minutes/30 minutes

= 3 times for each cycle.

8 0

3 years ago