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Licemer1 [7]
4 years ago
15

Describe the calculations needed to solve the problem and explain the order in which you need to do them.

Mathematics
1 answer:
Amiraneli [1.4K]4 years ago
3 0

Step-by-step explanation:

dividing a polynomial by a monomial: multivariate

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John runs a computer software store. Yesterday he counted 123 people who walked by the store, 56 of whom came into the store. Of
vaieri [72.5K]

Answer:

a) There is a 45.53% probability that a person who walks by the store will enter the store.

b) There is a 41.07% probability that a person who walks into the store will buy something.

c) There is a 18.70% probability that a person who walks by the store will come in and buy something.

d) There is a 58.93% probability that a person who comes into the store will buy nothing.

Step-by-step explanation:

This a probability problem.

The probability formula is given by:

P = \frac{D}{T}

In which P is the probability, D is the number of desired outcomes and T is the number of total outcomes.

The problem states that:

123 people walked by the store.

56 people came into the store.

23 bought something in the store.

(a) Estimate the probability that a person who walks by the store will enter the store.

123 people walked by the store and 56 entered the store, so T = 123, D = 56.

So

P = \frac{D}{T} = \frac{56}{123} = 0.4553

There is a 45.53% probability that a person who walks by the store will enter the store.

(b) Estimate the probability that a person who walks into the store will buy something.

56 people came into the store and 23 bought something, so T = 56, D = 23.

So

P = \frac{D}{T} = \frac{23}{56} = 0.4107

There is a 41.07% probability that a person who walks into the store will buy something.

(c) Estimate the probability that a person who walks by the store will come in and buy something.

123 people walked by the store and 23 came in and bought something, so T = 123, D = 23.

So

P = \frac{D}{T} = \frac{23}{123} = 0.1870

There is a 18.70% probability that a person who walks by the store will come in and buy something.

(d) Estimate the probability that a person who comes into the store will buy nothing.

Of the 56 people whom came into the store, 23 bought something. This means that 56-23 = 33 of them did not buy anything. So:

D = 33, T = 56

P = \frac{D}{T} = \frac{33}{56} = 0.5893

There is a 58.93% probability that a person who comes into the store will buy nothing.

8 0
3 years ago
What is the slope-intercept form of the equation of the line that passes through the points
seraphim [82]

d. y = 3/4x + 17/4.

To write the slope-intercept form y = mx + b of a line passing through (-3, 2) and (1,5).

First, we have to calculate the slope m.

m = (y₂-y₁)/(x₂-x₁), with (x₁, y₁) = (-3, 2) and (x₂, y₂) = (1, 5)

m = (5 - 2)/(1 - (-3))

m = 3/4

Second, we have to find the y-intercept.

y = mx + b, where m is the slope and b is the y-intercept.

Using one of the two ordered pair and plug it in for x and y in the equation y = mx + b.

Taking the ordered pair (1, 5):

5 = 3/4 (1) + b

5 = 3/4 + b

Solving for b

b = 5 - 3/4

b = [5(4) - 3(1)]/4

b = (20 - 3)/4

b = 17/4

Finally, write down the slope-intercept equation of the form y = mx + b, with m = 3/4 and b = 17/4:

y = mx + b

y = 3/4x + 17/4

4 0
3 years ago
Read 2 more answers
(fx) = <br><img src="https://tex.z-dn.net/?f=%28fx%29%20%3D%20%20%5Csqrt%5B3%5D%7B%20-%203x%20%2B%203%7D%20find%20f%28%20-%2013.
never [62]
f(x)=\sqrt[3]{-3x+3}\\\\substitute\ the\ value\ of\ x\ to\ the\ equation:\\\\f(-13.6)=\sqrt[3]{-3(-13.6)+3}=\sqrt[3]{40.8+3}=\sqrt[3]{43.8}\approx3.525
4 0
3 years ago
Please help with these questions, giving as many points as I can x
Pepsi [2]
1. (a) for Y axis, put x=0 in the equation of the line to get: y=3(0)+5

y=5 at P

(B) Two lines are parallel if they have the same slope. Given slope m= 3 (from y=mx+b)
therefore the equation of the line parallel to the given line is:

y= 3x+b
8 0
4 years ago
A, B, C, or D?<br> and an explanation
Anestetic [448]
The answer would be d
5 0
3 years ago
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