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3 years ago

PLEASE help me! The question is attached.

Mathematics

1 answer:

ycow [4]3 years ago

4 0

Answer:

The third option is correct

Step-by-step explanation:

We can rule out the first option because systems of equations CAN have decimal answers (this certain question cannot because of the domain) Same for the second option.

The last option says that all the numbers of forks knives and spoons must be equal but the question never specified that, in fact it looks like that is impossible since the variables have different coefficients.

The only logical answer is number 3

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If a prison deceased by 372 prisoners each month over one year what the monthy decrease

kozerog [31]

Answer:

31 deaths per month

Step-by-step explanation:

12 months in a year

372 / 12 = 31

4 0

3 years ago

A jewelry sells gold and platinum rings. Each ring is available in eight styles and is fitted with one of ten gemstone

katrin [286]

Answer: There are 160 different rings.

Step-by-step explanation:

The question is missing, i guess you want to know the number of different rings that the jewelry has:

For the material we have 2 options.

For the stile we have 8 options

For the gem we have 10 options.

Now, the total number of possible combinations is equal to the product of the number of options for each selection, this is:

Combinations = 2*8*10 = 160

4 0

3 years ago

When x = 5 and y = 6, x2 + 3(x+y)= (Type an integer or a decimal

Marta_Voda [28]

Answer:

Step-by-step explanation:

We are given everything we need, all you need to do is plug in 5 for x and 6 for y.

(5)2 + 3(5+6) =

= 10 + 3(11)

= 10 + 33

= 43

6 0

2 years ago

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

Can someone help me solve these two problems? i need to find what x is.

Bond [772]

Answer:

1. x=2

2. x= 0.33

Step-by-step explanation:

1.So to start off you have a coefficient for 2 so you have to find what 2 to the power of 2 is =4 so then you have your new problem 4x+5=13 next you need to get 4x by itself so

-5 -5

then you have 4x=8. you divide by 4 on both sides

4. 4

so then you get x=2

2.So same here find what 3 to the power of 2 is =9

New equation 4x-1=9x+4x-4. Then combine like terms on the right you cant do it on the left because that is a separate part and those dont merge like terms so

9x+4x = 13x

new equation. 4x-1=13x-4

next subtract 4x on both sides

13x-4x=9x

new equation. -1=9x-4

next add 4 to both sides

-1+4= 3

new equation. 3=9x

so then divide 9 on both sides

3÷9= 0.33

x= 0.33

Hope this made sense and helps

7 0

3 years ago