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3 years ago

The probability of a biased coin landing on heads is 2/7 complete the tree diagram

Mathematics

2 answers:

mamaluj [8]3 years ago

8 0

Answer:

The numbers needed to fill each box are in the image attached

Step-by-step explanation:

The probability of the coin landing on heads is 2/7, so the probability of it landing on tails is 1 - 2/7 = 5/7

The probability of landing heads 2 times is:

P = (2/7) * (2/7) = 4/49

The probability of landing heads and then tails is:

P = (2/7) * (5/7) = 10/49

The probability of landing tails and then heads is:

P = (5/7) * (2/7) = 10/49

The probability of landing tails 2 times is:

P = (5/7) * (5/7) = 25/49

The numbers needed to fill each box are in the image attached.

Mice21 [21]3 years ago

8 0

The first flip numbers will always add up to 1 so you do

1 - 2/7= 5/7

now it gets easy...

The second flip head will be 2/7 because it is a biased dice and the second flip tail will be 5/7

This also applies for the bottom 2: 2/7 head, 5/7 tails

hope this helped :)

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The women'schorus has 33members. How many quartetscan be formed? How many singers will be left over?

andreyandreev [35.5K]

Answer: 8 quartets can be formed.

1 singer will be left over.

Step-by-step explanation:

A quartet is a group of 4 members.

Given: The women'schorus has 33 members.

The number of quartets can be formed = (Total members) divided by (4)

= 33 ÷ 4

By solving 33 ÷ 4 we get 8 as quotient and remainder as 1 such that

33 = 4 x 8 +1

Hence, 8 quartets can be formed.

1 singer will be left over.

8 0

2 years ago

The sides of a Triangle are in the ratio 11 19:24 and

Paul [167]

Answer: The area of the triangle with the perimeter of 540 cm is approximately 10200 cm²

More exactly: 10182 cm²

Step-by-step explanation: $A=\frac{bh}{2}$

240 × 84.85 = 10182

To get the height of the triangle, it takes some trigonometry;

Given 3 sides of a triangle, it is possible to calculate the angles using the Law of cosines and the formula $cos A =\frac{b^{2} +c^{2} -a^{2} }{2bc}$

We will need the measure of angle A, then use the sine of A to get the height of the line from angle C perpendicular to the base, side b.

We can use the dimensions given in the proportions and then multiply by 10 because the sides given add to a perimeter of 54, one tenth of the 540 cm of the actual triangle. The angles of the similar triangles are congruent.

side a = 19, side b = 24, side c = 11

24² + 11² - 19² is 576 + 121 - 361 = 336

2(24)(11) = 528

cos A = 336 / 528 that is 0.636364 $\cos^{-1}\left(.6363634\right)$ = 50.47°

sin(50.47) = 0.77129

0.77129 × 11 = 8.48 is the height Rounding to 8.5 would be reasonable for this height

Using rounded values here to calculate Area :

85 × 240/2 = 10200 cm²

8 0

2 years ago

Please help me photo include

nikklg [1K]

Answer:

$\frac{-117}{10}$

Step-by-step explanation:

1) Change the mixed fractions into improper fractions:

$-3\frac{1}{5} + (-8\frac{1}{2} )\\= \frac{-16}{5} - \frac{17}{2}$

2) Multiply the first fraction by 2/2 and the second fraction by 5/5 in order to create common factors on the denominator (You can do this because you are essentially multiplying by one, for example 2/2 = 1):

$\frac{-16}{5} *\frac{2}{2} - \frac{-17}{2} * \frac{5}{5} \\ =\frac{-32}{10} - \frac{85}{10}$