The steps below show the incomplete solution to find the value of x for the

Mario went to a store and bought 3 slices of pizza. The guy at the register said " that would be $3.75". Mario then said "wait,

Zarrin [17]

Answer:

$5

Step-by-step explanation:

Cost per slice

3.75 / 3 = 1.25

Cost of 4 slices

1.25 * 4 = 5

5 0

2 years ago

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For what values of x is the rational expression below undefined? Cheack all that apply x+8 over x2- 2x- 24

Nimfa-mama [501]

2 times because 2 times is like 2time 8=16

8 0

2 years ago

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A real estate agent has 14 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Ratling [72]

Answer:

91.02% probability of selling more than 4 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution to solve this question.

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.

In this problem we have that:

$n = 14, p = 0.5$

Compute the probability of selling more than 4 properties in one week.

Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 4) + P(X > 4) = 1$

We want to find $P(X > 4)$ . So

$P(X > 4) = 1 - P(X \leq 4)$

In which

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

So

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

$P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.000061$

$P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.000854$

$P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056$

$P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222$

$P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611$

So

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000061 + 0.000854 + 0.0056 + 0.0222 + 0.0611 = 0.0898$

Finally

$P(X > 4) = 1 - P(X \leq 4) = 1 - 0.0898 = 0.9102$

91.02% probability of selling more than 4 properties in one week.

8 0

2 years ago

The function rule T(m) = 450 − 8m represents the amount of water T(m) (in liters) in a holding tank after being drained at a rat

vfiekz [6]

The answer is C, 22 minutes.

4 0

3 years ago

a box is a cuboid with dimensions 28cm by 15 cm by 20 cm all measured to the nearest centimetre. Disc cases are cuboids which me

nataly862011 [7]

Answer:

See Below

Step-by-step explanation:

To get volume of cuboid, we multiply the 3 dimensions.

Volume of Box = 28 * 15 * 20 = 8400

Volume of 1 disc case = 1.5 * 14.2 * 19 = 404.7

Volume of 17 disc cases = 17 * 404.7 = 6879.9

Since, volume of 17 disc cases is less than volume of the cuboid box, definitely 17 disc cases will fit the box.

7 0

3 years ago

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