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2 years ago

1.

Mathematics

1 answer:

Anit [1.1K]2 years ago

5 0

Answer:

-1/3

Step-by-step explanation:

(-2, 5) and (1, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4-5)/(1+2)

m=(-1)/3

m= -1/3

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Kwans The Kenningy account balance was $20 his ending balance is zero dollars what integer represents the changing in his accoun

77julia77 [94]

The integer number that represents the changing in his account balance from beginning to end is of -20.

<h3>Which numbers belong to the set of integer numbers?</h3>

Non-decimal numbers, either positive or negative numbers, also zero, belong to the set, which can be represented by:

Z = {..., -3, -2, -1, 0, 1, 2, 3, ...}

A change can be represented by the <u>final value subtracted by the initial value</u>. For this problem, we have that:

The initial balance is of $20.

The final balance is of $0.

Hence the change in the balance is:

0 - 20 = -20.

And the integer is -20.

More can be learned about integer numbers are brainly.com/question/17405059

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Answer:

a.) f(x) = $\frac{1}{30}$ where 90 < x < 120

b.) $\frac{2}{3}$

c.) $\frac{2}{3}$

d.) $\frac{1}{2}$

Step-by-step explanation:

Let

X be a uniform random variable that denotes the actual charging time of battery.

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b.)

P(x < 110) = $\int\limits^{110}_{90} {\frac{1}{30} } \, dx$

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c.)

P(x > 100 ) = $\int\limits^{120}_{100} {\frac{1}{30} } \, dx$

= $\frac{1}{30}[x]\limits^{120}_{100} = \frac{1}{30} [ 120 - 100 ] = \frac{1}{30} [ 20] = \frac{2}{3}$

d.)

P(95 < x< 110) = $\int\limits^{110}_{95} {\frac{1}{30} } \, dx$

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3 years ago