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3 years ago

A necklace costs £900. Work out the price after a 2% price increase.

Mathematics

2 answers:

Marina86 [1]3 years ago

4 0

Hey it’s 918
Hope it helps pls mark as brainliest answer plssssssssssssss

never [62]3 years ago

3 0

The answer is £918

Explanation:

2% of 900 is 18

So: 900 + 2%

= 900 + 18

= £918

hope it 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

Solve the system of equations by graphing:<br> y= 2x +8<br> -x+y=0

sdas [7]

Answer:

Slope = 4.000/2.000 = 2.000

Slope = 2.000/2.000 = 1.000

Step-by-step explanation:

the first answer is for the first problem and the second answer is for the second problem. Hoped it helped i tried my best.

4 0

3 years ago

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What is 6:12 in simpiest form?

g100num [7]

Answer:

6:12=1:2

Step-by-step explanation:

as we will cut 6:12 by 6 . please mark me as brainliest and follow me

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3 years ago

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How many twenty fourths would five sixths equal

borishaifa [10]

5/6 = x/24

6 times 4 is 24
(you have to times denominator and numerator by the same number)
5 times 4 = 20'
it would be 20/24

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3 years ago

Write an equation to represent the table:

MAXImum [283]

F(x) = 2^x
(The ‘^’ means ‘to the power of’)

To find this function, you first need to notice that the y values are powers of 2, and you can tell because they are doubling each time x increases: 4 × 2 = 8, 8 × 2 = 16, etc.

Once you’ve noticed that they are powers of 2, you then need to find out which powers of 2 they are. The first y value is 4 which equals 2², and the second y value is 8 which equals 2³.

This means that the power is the x value, so you end up with f(x) = 2^x

I hope this helps!

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3 years ago