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3 years ago

11. A customer purchases a stroller and packs of diapers from a store. The table shows the total

Mathematics

2 answers:

Anna35 [415]3 years ago

8 0

Answer: A f(x) = 25x + 400

bixtya [17]3 years ago

3 0

Answer:

f(x) = 25x + 400

Step-by-step explanation:

Here, we want to find the relationship between the number of diaper packs and the total cost

From what we have in the options, we can see a linear relationship;

Since it is a linear relationship, it can be modeled using the equation;

y = mx + b

where m is the slope and b is the y-intercept

From what we have, we can identify the following parts;

where x represents number of diaper packs and f(x) or y represents total cost

The points identifiable are as follows;

(2,450) , (6,550) and (10,650)

The slope will be;

(550-450)/(6-2) = 100/4 = 25

So we have the equation partially as;

y = 25x + b

To get b, we can use any of the points

Let’s use (2,450)

Thus, we have

450 = 25(2) + b

b = 450 - 50

b = 400

So the equation is;

y = 25x + 400

Thus;

f(x) = 25x + 400

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Step-by-step explanation:

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3 years ago

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3 years ago

The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that

tekilochka [14]

Answer:

a) P(X∩Y) = 0.2

b) $P_1$ = 0.16

c) P = 0.47

Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability $P_1$ that he must stop at the first signal but not at the second one can be calculated as:

$P_1$ = P(X) - P(X∩Y)

$P_1$ = 0.36 - 0.2 = 0.16

At the same way, the probability $P_2$ that he must stop at the second signal but not at the first one can be calculated as:

$P_2$ = P(Y) - P(X∩Y)

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7 0

3 years ago

A right triangle has an area of 38 square units

oksian1 [2.3K]

Answer:

1 | 38

2 | 76

3 | 114

5 | 190

1/2 | 19

2/3 | 25.33

Step-by-step explanation:

I am assuming that you need to multiply the area by the scale factors

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