Please help fast!!

Ten years ago the father was six times as old as his daughter. After ten years, he will be twice as old as his father . Determin

zlopas [31]

Let

10years ago

Daughter's age=x
Father's age=6x

10years after

Daughter's age=x+20
Father's age=6x+20

ATQ

$\\ \tt\hookrightarrow 6x+20=2(x+20)$

$\\ \tt\hookrightarrow 6x+20=2x+40$

$\\ \tt\hookrightarrow 4x=20$

$\\ \tt\hookrightarrow x=5$

Father's present age=6x+10=6(5)+10=30+10=40yrs
Daughter's present age=x+10=5+10=15yrs

7 0

3 years ago

Read 2 more answers

Before a computer is assembled, its motherboard goes through a special inspection. Assume only 85% of motherboards pass this ins

andreyandreev [35.5K]

Answer:

(a) The probability that at least 13 of the next 15 motherboards pass inspection is 0.6042.

(b) On average, 1.18 motherboards should be inspected until a motherboard that passes inspection is found.

Step-by-step explanation:

Let X = number of motherboards that pass the inspection.

The probability that a motherboards pass the inspection is P (X) = p = 0.85.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is,

$P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...$

(a)

Compute the probability that at least 13 of the next 15 motherboards pass inspection as follows:

P (X ≥ 13) = P (X= 13) + P (X = 14) + P (x = 15)

$={15\choose 13}0.85^{13}(1-0.85)^{15-13}+{15\choose 13}0.85^{14}(1-0.85)^{15-14}\\+{15\choose 13}0.85^{16}(1-0.85)^{15-15}\\=0.2856+0.2312+0.0874\\=0.6042$

Thus, the probability that at least 13 of the next 15 motherboards pass inspection is 0.6042.

(b)

Computed the expected number of motherboards should be inspected until a motherboard that passes inspection is found as follows:

$Expected\ value=\frac{1}{p}=\frac{1}{0.85}= 1.1764\approx1.18$

Thus, on average, 1.18 motherboards should be inspected until a motherboard that passes inspection is found.

3 0

4 years ago

Help I dont get what to do

Mars2501 [29]

Answer:

a/(bxy) if b≠0, x≠0, y≠0, x≠y

Step-by-step explanation:

You have correctly simplified the expression. The conditions placed on both the original and simplified forms are that none of the denominator factors may be zero. The denominator factors are b, x, y, and (x-y).

$\dfrac{a}{bxy}\text{ if $b\ne0;$ $x\ne0;$ $y\ne0;$ $x\ne y$}$

6 0

2 years ago

which of the following represent s of the graph of f (x) equals x exponent 3 think about the reflectional drive using Desmos.

ololo11 [35]

The correct answer is A.

lets discard the other options:

For B:

B is always positive, but f(x) is not, so B graph is not the answers

For C:

C is always positive too, so it cannot be the desire graph.

For D:

D is always negative, but we know that x exponent 3 is positive for all positive numbers,

6 0

1 year ago

Kim has 3 blue sweaters, 2 red sweaters, and 5 white sweaters in a dresser drawer. If she selects 3 sweaters at random with repl

valentina_108 [34]

3 blue, 2 red, 5 white........total of 10 sweaters

probability that red is picked first : 2/10 reduces to 1/5
replace
probability of second pick being white : 5/10 reduces to 1/2
replace
probability of third pick being blue : 3/10

probability of all of this happening : 1/5 * 1/2 * 3/10 = 3/100 <==

3 0

3 years ago