A number increased by 5 is two times the number

1 answer:

8 0

Let x be the number. x + 5 = 2x. 5 = x because you isolate for x by moving it to the right side, meaning you’d have to subtracts 1 x from 2x

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Solve systems substitution. y=4x-13 3x-3y=12

Maru [420]

I have no clue but i wish you the best of luck

7 0

3 years ago

According to insurance records, a car with a certain protection system will be recovered 87% of the time. If 600 stolen cars are

White raven [17]

Answer:

The mean and standard deviation of the number of cars recovered after being stolen is 522 and 8.24 respectively.

Step-by-step explanation:

We are given that according to insurance records, a car with a certain protection system will be recovered 87% of the time.

Also, 600 stolen cars are randomly selected.

Let X = Number of cars recovered after being stolen

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r}\times p^{r} \times (1-p)^{n-r} ;x=01,2,3,......$

where, n = number of trials = 600 cars

r = number of success

p = probability of success which in our question is the probability

that car with a certain protection system will be recovered,

i.e. p = 87%.

So, X ~ Binom(n = 600, p = 0.87)

Now, the mean of X, E(X) = $n \times p$

= $600 \times 0.87$ = 522

Also, the standard deviation of X, S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{600 \times 0.87 \times (1-0.87)}$

= 8.24

3 0

3 years ago

C(x)=0.4x^2-208x+37,365. what is the minimum cost of manufacturing dresses?

statuscvo [17]

2nd degree and in form ax^2+bx+c it is a prabola the minimum cost is the vertex (every parabola has only one, min or max) minimum cost is the vertex vertex=-b/(2a) a=0.4 b=-208 vertex=-(-208)/(2*0.4) vertex=208/0.8 vertex=260 (means 260 dresses) that is x value subsitute for y value C(x)=0.4(260)^2-208(260)+37365 C(x)=10325 minimum cost is $10,325

6 0

4 years ago

Tim simplified the difference 1/2p-(1/4p-4) as 3/4p-4. Did he find the correct difference? Explain.

Doss [256]

Answer:

TIM'S ANSWER IS WRONG.

The correct simplification is $=\frac{p}{4}+4$ .