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2 years ago

You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads

Mathematics

1 answer:

tino4ka555 [31]2 years ago

5 0

P(2 or H) = P(2) + P(H) - P(2 and H)

What is the probability of getting a 2 P(2)? = 1/6

What is the probability of getting heads P(H)? = 1/2

P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12

P(2 or H) = P(2) + P(H) - P(2 and H)

P(2 or H) = 1/6 + 1/2 - 1/12 = 7/12

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A circle is centered at the point (5, -4) and passes through the point (-3, 2).

zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

$\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10$

The standard form of equation of circle is:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

where h and k are the coordinates of the center. So putting in the value:

$(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100$

8 0

2 years ago

Write the equation of the line in slope-intercept form. m=5/9 y-intercept (0,2) 2 The equation of the line in slope-intercept fo

aniked [119]

Answer:

y = (5/9)x + 2

Step-by-step explanation:

Slope intercept form is

y = mx + b then plug in the values

y = (5/9)x + 2

4 0

2 years ago

Help please thank you

Sergeeva-Olga [200]

Answer:

0.25

Step-by-step explanation:

4 0

2 years ago

A city issues 3-digit license plates for motorized scooters. The digits 0-9 are chosen at random by a computer program. What is

dimaraw [331]

Answer:

80/111

Step-by-step explanation:

For starters, since it is 3 digits inclusive of 0, from 0 - 9, then there are 1000 possible total plate combination from 000 - 999.

If no number is expected to be repeated in the combination, then there exists 10 numbers(say 0-9) for the first digit, 9 numbers(say 1-9) for the second digit and 8 numbers(1-8) for the third digit.

This means that there will be 10 * 9 * 8 total possible outcomes. Considering that the possible combinations is 999, then the probability is

10 * 9 * 8 = 720/999

And that is simplified to 80/111

7 0

2 years ago

Select the correct answer from each drop-down menu.

tino4ka555 [31]

Answer: The correct answer is: [C]: " $15^{(7/4)}$ " .