What is a number sentence with 1 3/4 as the solution?

A company is trying out a new marketing technique that begin by asking One customer to tell three friends about a product in the

Nostrana [21]

Week 1 : 1 customer tells 3 friends

Week 2: 3 new customers tell 9 friends

Week 3: 9 new customers tell 27 friends

If w represents number of weeks, then (C) represents the model appropriately. Let's see how:

Putting w = 1 , 2 and 3 in each of the options

(A) 3w: 3 for week 1, 6 for week 2, 9 for week 3 ⇒ INCORRECT

(B) w^3: 1 for week 1, 8 for week 2, 27 for week 3 ⇒ INCORRECT

(C) 3^w: 3 for week 1, 9 for week 2, 27 for week 3 ⇒ CORRECT

(D) 3w^3: 3 for week 1, 24 for week 2, 81 for week 3 ⇒ INCORRECT

Hence, the answer is (C)

5 0

3 years ago

Read 2 more answers

Consider a series system composed of 4 separate components where each component has a 30% chance of failing. Assume each compone

Marina86 [1]

Answer:

16.15% probability that exactly 3 of them would function

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Probability of each system working:

4 components, which means that $n = 4$

Each has a 30% probability of failing, so $p = 1 - 0.3 = 0.7$

For the system to work, all 4 components have to work. This is P(X = 4).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.7)^{4}.(0.3)^{0} = 0.2401$

0.2401 probability of a system working.

If you have 7 of these systems, what is the probability that exactly 3 of them would function?

Now 7 systems, so $n = 7$

0.2401 probability of a system working.

We have to find P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{7,3}.(0.2401)^{3}.(0.7599)^{4} = 0.1615$

16.15% probability that exactly 3 of them would function

5 0

3 years ago

What is 45% of 649926391

MArishka [77]

Answer:

292,466,875.95

Step-by-step explanation:

6 0

2 years ago

From delta math:<br> Subtract -2x^2 + 3x - 9 from 8x^2 + 10x - 10

Leto [7]

Answer:

$10x^2 + 7x - 1$

Step-by-step explanation:

Step 1: Build the expression in numerical form.

$(8x^2 +10x - 10) - (-2x^2 + 3x - 9)$

Step 2: Distribute the negative sign.

$8x^2 +10x -10 + (-1)(-2x^2) + (-1)(3x) + (-1)(-9)$
$8x^2 + 10x - 10 + 2x^2 + (-3x) + 9$

Step 3: Combine like terms.

$(8x^2 +2x^2) + (10x -3x) + (-10+9)$
$10x^2 +7x -1$

Therefore, the answer is $10x^2 + 7x -1$ .

4 0

2 years ago

6) The amount of Jen's monthly phone bill is normally distributed with a mean of $70 and a standard

alexandr402 [8]

Answer:

i)The correct option is D.) 99.74%

ii) The correct option is B.) 68.26%

Step-by-step explanation:

i) P(10≤X≤70) = P( (10−40)/10 ≤Z≤ (70−40 )/10 ) = Pr(−3≤Z≤3)

= 0.9987 - 0.0013 = 0.99734

Therefore the percentage of Jen's monthly phone bills are between $40 and $100 is D.) 99.74%

ii)P(2.1≤X≤3.1) = P( (2.1 − 2.6) /0.5 ≤ Z ≤ (3.1−2.6 )/0.5) = Pr(−1 ≤Z ≤1) )

= 0.8413 − 0.1587 = 0.6826

Therefore the percentage of students at college have a GPA between 2.1 a,d 3.1 is B.) 68.26%

5 0

2 years ago