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Volgvan
3 years ago
5

For a certain instant lottery game comma the odds in favor of a win instant lottery game, the odds in favor of a win are given a

s 59 to 41. Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive. The probability is
Mathematics
2 answers:
Fittoniya [83]3 years ago
6 0

Answer:

0.41

Step-by-step explanation:

p = 41/100 = 0.41

const2013 [10]3 years ago
4 0

Answer:

0.59

Step-by-step explanation:

The odds in favor of winning the lottery game are 59 to 41. This means for every 59 chances of winning the lottery game there are 41 chances of losing the game.

We have to find the probability of winning the lottery game. Since there are 59 chances to win the game and 41 chances to loss the game, the total number of games come out to be 59 + 41 = 100

i.e.

Out of every 100 games, there is a chance of winning 59 games and losing 41 games

Therefore,

The probability of winning the lottery game would be = 59/100 = 0.59

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Looking at the top of tower A and base of tower B from points C and D, we find that ∠ACD = 60°, ∠ADC = 75° and ∠ADB = 30°. Let t
katrin2010 [14]

Answer:

\text{Exact: }AB=25\sqrt{6},\\\text{Rounded: }AB\approx 61.24

Step-by-step explanation:

We can use the Law of Sines to find segment AD, which happens to be a leg of \triangle ACD and the hypotenuse of \triangle ADB.

The Law of Sines states that the ratio of any angle of a triangle and its opposite side is maintained through the triangle:

\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}=\frac{c}{\sin \gamma}

Since we're given the length of CD, we want to find the measure of the angle opposite to CD, which is \angle CAD. The sum of the interior angles in a triangle is equal to 180 degrees. Thus, we have:

\angle CAD+\angle ACD+\angle CDA=180^{\circ},\\\angle CAD+60^{\circ}+75^{\circ}=180^{\circ},\\\angle CAD=180^{\circ}-75^{\circ}-60^{\circ},\\\angle CAD=45^{\circ}

Now use this value in the Law of Sines to find AD:

\frac{AD}{\sin 60^{\circ}}=\frac{100}{\sin 45^{\circ}},\\\\AD=\sin 60^{\circ}\cdot \frac{100}{\sin 45^{\circ}}

Recall that \sin 45^{\circ}=\frac{\sqrt{2}}{2} and \sin 60^{\circ}=\frac{\sqrt{3}}{2}:

AD=\frac{\frac{\sqrt{3}}{2}\cdot 100}{\frac{\sqrt{2}}{2}},\\\\AD=\frac{50\sqrt{3}}{\frac{\sqrt{2}}{2}},\\\\AD=50\sqrt{3}\cdot \frac{2}{\sqrt{2}},\\\\AD=\frac{100\sqrt{3}}{\sqrt{2}}\cdot\frac{ \sqrt{2}}{\sqrt{2}}=\frac{100\sqrt{6}}{2}={50\sqrt{6}}

Now that we have the length of AD, we can find the length of AB. The right triangle \triangle ADB is a 30-60-90 triangle. In all 30-60-90 triangles, the side lengths are in the ratio x:x\sqrt{3}:2x, where x is the side opposite to the 30 degree angle and 2x is the length of the hypotenuse.

Since AD is the hypotenuse, it must represent 2x in this ratio and since AB is the side opposite to the 30 degree angle, it must represent x in this ratio (Derive from basic trig for a right triangle and \sin 30^{\circ}=\frac{1}{2}).

Therefore, AB must be exactly half of AD:

AB=\frac{1}{2}AD,\\AB=\frac{1}{2}\cdot 50\sqrt{6},\\AB=\frac{50\sqrt{6}}{2}=\boxed{25\sqrt{6}}\approx 61.24

3 0
2 years ago
Read 2 more answers
2
nignag [31]

Answer:

1st = 4×10 ^-9

2nd= 4×10^1

3rd = 4×10^7

4th = 4×10^-5

Step-by-step explanation:

for whole numbers you just have to count from the ending till the number indicated beside the x10

for decimals you count from the front starting at the decimal till you cover the whole number

6 0
11 months ago
HELPPP QUICK PLSS NO BOTS EITHER I WILL REPORT BUT PLS DONT IGNORE THIS HELP ME PLSS In the slope-intercept equation for a line
sergey [27]

Answer:

slope

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Since m is the coefficient of the x- term, then

The coefficient of the x- term gives the slope

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A band went to a recording studio and recorded 4 songs in 3 hours. How many hours would it take the band to record 9 songs if th
Morgarella [4.7K]

Answer:

7 1/2 hours I believe is the correct answer. Hope it works!

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2 years ago
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Evaluate:<br> Sigma 50 over 1 (4n - 1) = [?]
iogann1982 [59]

Answer:

50 over 1 (4n - 1) = 5050

I hope I helped you^_^

7 0
3 years ago
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