Why is -0 not a number CORRECT ANSWER= BRAINLIEST

You play two games against the same opponent. The probability you win the first game is 0.4. If you win the first game, the prob

Ilia_Sergeevich [38]

Answer:

a) No

b) 42%

c) 8%

d) X 0 1 2

P(X) 42% 50% 8%

e) 0.62

Step-by-step explanation:

a) No, the two games are not independent because the the probability you win the second game is dependent on the probability that you win or lose the second game.

b) P(lose first game) = 1 - P(win first game) = 1 - 0.4 = 0.6

P(lose second game) = 1 - P(win second game) = 1 - 0.3 = 0.7

P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

c) P(win first game) = 0.4

P(win second game) = 0.2

P(win both games) = P(win first game) × P(win second game) = 0.4 × 0.2 = 0.08 = 8%

d) X 0 1 2

P(X) 42% 50% 8%

P(X = 0) = P(lose both games) = P(lose first game) × P(lose second game) = 0.6 × 0.7 = 0.42 = 42%

P(X = 1) = [ P(lose first game) × P(win second game)] + [ P(win first game) × P(lose second game)] = ( 0.6 × 0.3) + (0.4 × 0.8) = 0.18 + 0.32 = 0.5 = 50%

e) The expected value $\mu=\Sigma}xP(x)= (0*0.42)+(1*0.5)+(2*0.08)=0.66$

f) Variance $\sigma^2=\Sigma(x-\mu^2)p(x)= (0-0.66)^2*0.42+ (1-0.66)^2*0.5+ (2-0.66)^2*0.08=0.3844$

Standard deviation $\sigma=\sqrt{variance} = \sqrt{0.3844}=0.62$

8 0

3 years ago

Write as a unit rate: 36 gallons to 9 minutes *

Nataly_w [17]

Answer

36/9= 4

Step-by-step explanation:

This is a fraction equal to

36 gallons ÷ 9 minutes

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 9

36 gallons ÷ 9

9 minutes ÷ 9

=

4 gallons

1 minute

=

4 gallons

minute

= 4 gallons per minute

7 0

3 years ago

Help Please!!! Find the volume of the sphere

yuradex [85]

Answer:

523.6

Step-by-step explanation:

Not sure how to explain •-•

Hope it helps c:

5 0

3 years ago

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What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?

Sati [7]

Answer-

The coordinates of the orthocenter of △JKL is (-4, 8)

Solution-

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.

Here we are given the three vertices of the triangle are J(-4,-1), K(-4,8) and L(2,8)

If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.

Applying distance formula we get,

$JK^2= (-4+4)^2+ (8+1)^2=0+81=81\\\\KL^2= (-4-2)^2+ (8-8)^2=36+0=36\\\\JL^2= (-4-2)^2+(8+1)^2=36+81=117$

As,

$\Rightarrow 117=81+36$

$\Rightarrow JL^2=JK^2+KL^2$

$\Rightarrow \text{JKL is a right angle triangle}$

$\Rightarrow \angle K=90^{\circ}$

Therefore, the vertex at K (-4, 8) is the orthocentre.

3 0

3 years ago

The longest side of a triangle is 3 in. longer than the shortest side. The medium side is 2 in. longer than the shortest side. I

Olenka [21]

s = length of the shortest side of the triangle

m = length of the medium side of the triangle

l = length of the longest side of the triangle

(you can use different variables like l, w, h, x, y.......)

Perimeter(P) of a triangle is the total sum of the sides, in this case:

P = s + m + l

You know:

P = 26in

l = s + 3 [longest side is 3in longer/more than(addition) the shortest side]

m = s + 2 [medium side is 2in longer than the shortest side]

To find the lengths of the three sides, you can do this:

P = s + m + l Substitute/plug in what you know. So plug in 26 into "P" since P = 26, plug in (s + 3) into "l" since l = s + 3, and plug in (s + 2) into "m" since m = s + 2

26 = s + (s + 2) + (s + 3) Combine like terms (like terms have the same variable and power/exponent)

26 = 3s + 5 To find "s", isolate/get the variable "s" by itself. Subtract 5 on both sides

21 = 3s Divide 3 on both sides to get "s" by itself

7 = s

Now that you found s, you can use it to find the other sides

m = s + 2 Substitute/plug in 7 into "s" since s = 7

m = 7 + 2

m = 9

l = s + 3 Plug in 7 into "s"

l = 7 + 3

l = 10

The longest side is 10 inches, the medium side is 9 inches, the shortest side is 7 inches

PROOF

P = s + m + l

P = 7 + 9 + 10

P = 26 inches

7 0

3 years ago

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