The odds on (against) your bet are 4 to 7. If you bet $70 and win, how much will you gain? (Type an integer or a decimal.)

Answers

Answer 1

Answer:

Answer: Hi! when someone says that the odds on (against) your bet are 4 to 7, means that you have 4 chances to lose, and 7 to win.

then if 4 + 7 = 11 = 100%

4/11*100% = 36.36%

and 7/11*100% = 63.63%

You can notice that the probability for a win is bigger than the probability for a loss, so the amount earned will be less than the bet.

So you have a 63% chances of winning

then, if you bet 70$, you will win 70$*4/7 = 40$

so the total return is 70$ + 40$ = 110$

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According to the Insurance Institute of America, a family of four spends between $400 and $3,800 per year on all types of insurance. Suppose the money spent is uniformly distributed between these amounts.a. What is the mean amount spent on insurance?b. What is the standard deviation of the amount spent?c. If we select a family at random, what is the probability they spend less than $2,000 per year on insurance per year?d. What is the probability a family spends more than $3,000 per year?
4. Tori bought x shares of Mattel stock for m dollars per share. She soldall of the shares months later for y dollars per share. Express her cap- ital gain or loss algebraically.
Kyle has 64 baseball cards and must give away 1/4 of his figures away. How many cards will Kyle give away? What fractions of his cards does he have left?
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Tiara earned 12 dollars on herfirst day selling lemonade, and she
was determined to earn 3 more
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A. 610 B. 810 C.72 D. 69

Answers

Answer:

Step-by-step explanation:

12 + 3x

12 + 3(20)

12 + 60

Graph the line with slope 1/2 passing through the poin

Answers

Answer:

See explanation below.

Step-by-step explanation:

To make use of the tools they give you, start at the point (-5, -2) which you know is a point the line goes through, then draw a line that goes towards the right following the rule given by the slope "1/2" (rise/run) which means that every 2 units to the right, you go one unit up. so from the point -5 in x, you go to the point -3 in x, and from -2 in y you move up one unit to -1

Therefore the line joins (-5, -2) to the point (-3, -1)

Jenny cut a wire into 4 equal pieces. The wire was originally 7.92 meters long. How long is each piece?

Answers

Answer:

1.98 meters

Step-by-step explanation:

divide 7.92 by 4

(7.92)/4

1.98

Find all solutions of the equation algebraically. Check your solutions. (Enter your answers as a comma-separated list x^4-7x^2-144=0

Answers

Answer:

The solutions are: $x=4,\:x=-4,\:x=3i,\:x=-3i$

Step-by-step explanation:

Consider the provided equation.

$x^4-7x^2-144=0$

Substitute $u=x^2\mathrm{\:and\:}u^2=x^4$

$u^2-7u-144=0$

$u^2-16u+9u-144=0$

$(u-16)(u+9)=0$

$u=16,\:u=-9$

Substitute back $\:u=x^2$ and solve for x.

$x^2=16\nx=√(16)\n \quad x=4,\:x=-4$

$x^2=-9\nx=√(-9)\n \quad x=3i,\:x=-3i$

Hence, the solutions are: $x=4,\:x=-4,\:x=3i,\:x=-3i$

Check:

Substitute x=4 in provided equation.

$4^4-7(4)^2-144=0$

$256-112-144=0$

$0=0$

Which is true.

Substitute x=-4 in provided equation.

$(-4)^4-7(-4)^2-144=0$

$256-112-144=0$

$0=0$

Which is true.

Substitute x=3i in provided equation.

$(3i)^4-7(3i)^2-144=0$

$81+63-144=0$

$0=0$

Which is true.

Substitute x=-3i in provided equation.

$(-3i)^4-7(-3i)^2-144=0$

$81+63-144=0$

$0=0$

Which is true.

Find y from the picture plz

Answers

Answer:y = 115 degrees

Step-by-step explanation:

The given polygon has 6 sides. It is a hexagon. The sum of the interior angles of a polygon is

180(n - 2)

Where

n is the number of sides that the polygon has. This means that n = 6

Therefore, the sum of the interior angles would be

180(6 - 2) = 720 degrees

Therefore,

126 + 101 + 135 + 147 + 96 + y = 720

605 + y = 720

Subtracting 605 from both sides of the equation, it becomes

y = 720 - 605 = 115 degrees

It's a six sided polygon. For any polygon the external angles add to 360 degrees. The internal angles shown are the supplements of the external angles. We have

(180 - θ₁) + (180 - θ₂) + ... + (180 - θ₆) = 360

6(180) - 360 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆

720 = θ₁ + θ₂ + θ₃ + θ₄ + θ₅ + θ₆

The six angles add up to 720 degrees, and five of them add to

126+101+135+147+96=605

So y = 720 - 605 = 115

The degree sign is external to y so not part of the answer:

Answer: 115

You need 1 1/4 cups of sugar to make 20 cookiesTo make 12 cookies, you will need ___ cups of sugar.

Answers

You would want to put your problem in an equation like this: x = 12(5/4)/20

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