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2 years ago

Somebody please help me with this

Mathematics

1 answer:

satela [25.4K]2 years ago

7 0

Answer:

15/56

Step-by-step explanation:

5 people have a license

3 people don't

? = Probability that first person has a license and second does not

We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.

P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.

P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.

P1 and P2 are dependent events, thus P(1,2) = P1 * P2.

P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56

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3 years ago

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3 years ago

Read 2 more answers

A,B and C are the vertices of a triangle A has coordinates (4,6) B has coordinates (2,-2) C has coordinates (-2,-4) D is the mid

polet [3.4K]

Answer:

Segments DE and BC have equal slopes, showing that segments DE and BC are parallel

Step-by-step explanation:

Here we have the coordinates as follows

The coordinates of A is (4, 6)

The coordinates of B is (2, -2)

The coordinates of C is (-2, -4)

Therefore, the coordinates of D the midpoint AB is ((4 + 2)/2, (6 - 2)/2) which gives;

The coordinates of D is (3, 2)

Similarly, the coordinates of E the midpoint AC is ((4 - 2)/2, (6 - 4)/2) which gives;

The coordinates of E is (1, 1)

To prove that segment DE is parallel to segment BC, e show that the slopes of the two segments are equal as follows;

$Slope \, of \, a \, segment = \frac{Change \, in \, the\ y \, coordinates}{Change \, in \, the\, x \, coordinates}$

$Slope \, of \, segment \ DE =\frac{2 - 1}{3-1} = \frac{1}{2}$

$Slope \, of \, segment \ BC =\frac{-2 - (-4)}{2-(-2)} = \frac{2}{4} =\frac{1}{2}$

Therefore, the slopes of segments DE and BC are equal, which shows that segment DE is parallel to BC.

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4 years ago

Stuck in this question from 4 days!!<br> Help please.

LenKa [72]

Answer:

C. 55s

Step-by-step explanation:

I'll refer to Wyndham as W and Michael as M.

Also, we will be assuming constant speed for both runners.

So, first of all, W ran with a speed of 8m/s;

400m/50s = 8 m/s

M ran with speed 9.2635.... m/s;

400m/43.18s = 9.26.... m/s

The difference is 1.26.... m/s, meaning every second, the distance between M and W would increase by 1.26.....m, starting from 0 at the start line;

9.26... - 8 = 1.26....

So, to find the desired distance, we simply multiply 1.26... by 43.18;

1.26... × 43.18 = 54.560....

(Rounded up to 55s)

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3 years ago

Somebody please help me with this​

Somebody please help me with this