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4 years ago

What is the equation in slope intercept form of a line with slope -4/3 and y-intercept -2

1 answer:

6 0

Y=mx+b
m=slope
b=y-intercept

Given
Slope=-4/3
y-intercept=-2

Plug them into the slope intercept formula
Final answer: y=-4/3-2

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An electric company has to track on-time payments and late payments for each customer monthly. It is impossible for a customer t

OLga [1]

Answer:

The probability that a customer pays late each month is P(B) = 0.27

Step-by-step explanation:

Let P( A ) be the probability that the customer pays on time and the value is 0.55

Let P( B ) be the probability that a customer pays late each month

The probability that a customer pays late or on-time each month is P(A u B) and the value is 0.82

The probability that a customer pays on-time and late each month is P(A n B) and the value is zero ( 0 ) given that it is impossible

Now The probability that a customer pays late or on-time each month is mathematically represented as

P(A u B) = P(A) + P(B) - P(A n B)

=> 0.82 = 0.55 + P( B ) - 0

=> P(B) = 0.27

8 0

3 years ago

6) A standard deck has 52 cards, and contains 13 cards of each of the four suits: diamonds, spades, hearts, and clubs. What is t

Crazy boy [7]

Answer:

$\dfrac{12}{51}\cong\dfrac{4}{17}$

Step-by-step explanation:

You have 52 cards in a deck and 13 cards of each suit.

The probability of picking a diamond in a complete deck of cards is:

$\dfrac {13}{52}$

Or the probability is 13 put of 52.

Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:

$\dfrac{12}{51}$

If we simplify it you will have a probability of:

$\dfrac{4}{17}$

6 0

3 years ago

Given g(x) = 10x + 2, find x when g(x) = 2.

Elan Coil [88]

Answer:

x=0

Step-by-step explanation:

We are given:

g(x) =10x +2

and

g(x)=2

g(x) is equal to both 10x+2 and 2. Therefore, by substitution, we can set them equal to each other

10x+2=2

Now, we need to solve for x. First, move all the numbers to the same side. Subtract 2 from both sides

10x+2-2=2-2

10x=0

To solve for x, we have to get x by itself. x and 10 are being multiplied. To get x alone, divide both sides by 10.

10x/10=0/10

x=0

8 0

3 years ago

Find the distance<br> (8,1)(-2,-5)

Natalija [7]

Answer:

Square root of {(-2-8)^2+ (-5-1)^2}

Square root of {(-10)^2 + (-6)^2}

Square root of 100 +36

Square root of 136 = 11.66

Distance is 11.66

3 0

3 years ago

Triangle ABC is equilateral. Find the height of BD

RideAnS [48]

Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.

Line BD is placed in the middle, making D the midpoint of side AC.

knowing this information we can determine that the length of DC is 4 units (half of AC)

since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD

a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)

we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third

4² + b²= 8²

16 + b² = 64

b² = 48

b = $\sqrt{48}$

b= 4√3 or about 6.928 units

hope this helped

3 0

3 years ago