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3 years ago

Like what is this and how do you do it please explain clearly and understandable

Mathematics

2 answers:

sdas [7]3 years ago

4 0

Explanation: When you toss two coins, the possible outcomes can be:

1) A head followed by a head.
2) A head followed by a tail.
3) A tail followed by a head.
4) A tail followed by a tail.

Therefore,
Total possible outcomes = 4

Now, the given condition is a head followed by a tail. In the possible outcomes there is only one (i.e; 2) that satisfies this condition.

Therefore, outcome of getting head followed by tail = 1

Finally,
P(getting head followed by tail) = outcome of getting head followed by tail / Total possible outcome.

Which is 1/4.

Hope this helps.

Ivenika [448]3 years ago

3 0

Answer:

1/4

Step-by-step explanation:

HT represent the probability of tossing a head then Tail.

There is 4 possible results and only 1 give us HT.

We call this theoretical probability. which is

$\frac{x}{y}$

where x is favorable outcomes and y is total number of outcomes.

So there is a 1/4 probability of getting a head followed by a tail.

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A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag. The probability of n

solniwko [45]

Answer:

1/10 or 3/10 i think if im wrong im sorry

4 0

3 years ago

What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0

Tom [10]

Answer:

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

Step-by-step explanation:

The given equation is

$(2x+3)^2+8(2x+3)+11=0$

Let us treat this as a quadratic equation in $(2x+3)$ .

where $a=1,b=8,c=11$

The solution is given by the quadratic formula;

$(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}$

We substitute these values into the formula to obtain;

$(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}$

$(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}$

$(2x+3)=\frac{-8\pm \sqrt{20} }{2}$

$(2x+3)=\frac{-8\pm2\sqrt{5} }{2}$

$(2x+3)=-4\pm \sqrt{5}$

$(2x+3)=-4-\sqrt{5}$ or $(2x+3)=-4+ \sqrt{5}$

$2x=-3-4-\sqrt{5}$ or $2x=-3-4+ \sqrt{5}$

$2x=-7-\sqrt{5}$ or $2x=-7+ \sqrt{5}$

$x=\frac{-7-\sqrt{5}}{2}$ or $x=\frac{-7+ \sqrt{5}}{2}$

5 0

4 years ago

Find an equation of each line given one point and the slope : (4, 8); slope 8

Fudgin [204]

Step-by-step explanation:

in such a case the easiest approach might be using the point-slope form of a line equation :

y - y1 = m(x - x1)

with m being the slope, and (x1, y1) being a point on the line.

so, in our case that would be

y - 8 = 8(x - 4)

simplified this would be

y - 8 = 8x - 32

y = 8x - 24

FYI - this would be then the slope-intercept form (-24 would be the intercept point on the y-axis).

3 0

2 years ago

If students’ scores were normally distributed and the mean was 200 with a standard deviation of 40, then what is the probability

Sonja [21]

Answer:

84%

Step-by-step explanation:

The empirical rule tells you that 68% of the standard normal distribution is within 1 standard deviation of the mean. The distribution is symmetrical, so the amount in the lower tail is (1 -68%)/2 = 16%.

Since the number you're interested in, 240, is one standard deviation above the mean (200 +40), the percentage of interest is the sum of the area of the central part of the distribution along with the lower tail:

68% + 16% = 84%.

4 0

3 years ago

What is the least common multiple of two numbers that have no common factors greater than 1

Maksim231197 [3]

7 and 6 and the LCM would be 42

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3 years ago