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3 years ago

Let g(x)=-5x+2 with g(-1)

Mathematics

1 answer:

masha68 [24]3 years ago

4 0

Replace x with -1.

G(-1) = -5(-1) + 2

= 5 + 2

= 7

I hope this Helps!

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Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards

Dmitrij [34]

Answer:

Ok, the probability of winning is:

For the first draw, we have 13 diamonds in a 52 card deck, the probability of drawing a diamond is:

p1 = 13/52

for the second draw we have 12 diamonds and 51 cards in the deck, now the probability is:

p2 = 12/51

the total probability is equal to the product of the individual probabilities, this is:

P = p1*p2= (13/52)*(12/51) = 0.059

now, the expected value can be calculated as follows.

EV = (P1*X1 + P2*X2)

where P1 is the probabilty of event 1, and X1 is the event 1,

In this case X1 is the event of winning $29, then P1 = 0.059

X2 will be the event of loosing $4, so P2 = 1 - 0.059 = 0.941

Then the expected value for 1 round of the game is:

EV = (0.059*$29 - 0.941*$4) = -$2.05

So if you play 891 times, expected value of 891 times the expected value for 1 round, this is:

891*EV = 891*(-$2.05) = -$1826.55

So you loss around $1826.55

4 0

3 years ago

Choose the point-slope form of the equation below that represents the line that passes through the point (−1, 6) and has a slope

ad-work [718]

Y-6=-3(x+1) is the correct point slope form

4 0

3 years ago

the length of a rectangle is 5 times as long as its breadth and its area is 1620 m² find area of square whose perimeter is equal

Rus_ich [418]

Answer:

Area of the square is 2916 $m^{2}$ .

Step-by-step explanation:

Let the breadth of the rectangle be represented by w. So that;

length of rectangle = 5w

Area of rectangle = length x breadth

= 5w x w

1620 = 5 $w^{2}$

divide through by 5 to have,

$w^{2}$ = 324

w = $\sqrt{324}$

= 18

Thus, the breadth of the rectangle is 18 m.

length = 5 w = 5 x 18

= 90 m

The length of the rectangle is 90 m.

Perimeter of the rectangle = 2(l + w)

= 2( 90 + 18)

= 216 m

Perimeter of a square = 4l

where l is the length of its side.

Given that the perimeters of the rectangle and square are equal, then;

4l = 216

l = $\frac{216}{4}$

= 54

length of the side of square is 54 m.

Therefore,

Area of square = $l^{2}$

= $54^{2}$

= 2916

Area of the square whose perimeter is equal to that of the rectangle is 2916 $m^{2}$ .

6 0

3 years ago

at a garage sale a large bin full of DVDs and CDs are being sold.all the DVDs and all the CDs are the same price. Aaliyah bought

joja [24]

Answer:

Step-by-step explanation:

$6/(2 DVDs) = $3/DVD, and $8/(4 CDs) = $2/CD

a DVD costs $3

a CD costs $2

Lynn bought 4 DVDs and 2 CDs for 4×$3 + 2×$2 = $16.

Pierre bought d DVDs and c CDs for $20.

d is 0, 2, 4, or 6

c = (20-3d)/2

(d,c) = (0,10), (2,7), (4,4), or (6,1)

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3 years ago

Solve for x -3x+2=-11 please

larisa [96]

Answer:

6.5

Step-by-step explanation:

We need to solve out for x , the given Equation is ,

$: \implies$ x - 3x + 2 = -11

$: \implies$ -2x = -11 -2

$: \implies$ -2x = -13

$: \implies$ x = -13/-2

$: \implies$ x = 6.5

4 0

3 years ago

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