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4 years ago

If Jake has six apples and John takes two how much is Jake gonna have

Mathematics

2 answers:

Mrrafil [7]4 years ago

7 0

Answer:

4 apples

Step-by-step explanation:

Serhud [2]4 years ago

3 0

Answer:

6-2= 4

Step-by-step explanation:

Jake will have four apples left.

Hope this helps!

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2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi

Oksana_A [137]

Answer:

(a) $E(X) = 950$

(b) $COV = 0.007255$

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

$E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950$

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$COV = \frac{\sigma}{E(X)}$

Where the standard deviation is given by

$\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892$

So the coefficient of variance is

$COV = \frac{6.892}{950}$

$COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

$P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\$

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

$P(X > 980) = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980) = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980) = 1 - P(Z < 4.28)\\\\$

The z-score corresponding to 4.28 is 0.99999

$P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\$

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0

3 years ago

Alex and Peter win some money and share it in the ratio 3:5. Alex gets £33. How much did Peter get?

IgorLugansk [536]

Answer:

Step-by-step explanation:

Set it up as fractions, Alex over Peter.

3/5 : 33/x Let x represent Peter's amount. Now find out: how do you get from 3 to 33? What times 3 equals 33? 11

What you do on the top, you must do on the bottom. If 3 times 11 equals 33, then 5 times 11 equals x. 5 times 11 equals 55, so x equals 55.

Peter will get 55. Don't forget the pound symbol.

5 0

3 years ago

Suppose y varies directly with x. Write an equation relating x and y.

jolli1 [7]

9514 1404 393

Answer:

a. y = -5x

Step-by-step explanation:

The different signs of x and y tell you the constant of proportionality will be negative (eliminating choices b and d).

A quick trial of the given values shows that choice c is incorrect, and that choice a is correct.

4 0

3 years ago

If Furious Pete ate 17 bananas in 2 minutes (120 seconds), how long did it take

Romashka [77]

Answer:

7.05 seconds

Step-by-step explanation:

5 0

3 years ago

At a supermarket the price of a carton of blueberries varies directly with its weight. A carton that weighs 0.5 lb cost $4.25. W

IRISSAK [1]

It is $6.375.
0.5lb:$4.25
0.75lb:$6.375
This is because 0.75lb is 1.5 times greater than 0.5, so you do 4.25*1.5, which is $6.375

6 0

4 years ago

Read 2 more answers