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2 years ago

Help i need help look at question

Mathematics

1 answer:

Phantasy [73]2 years ago

7 0

Answer:

Step-by-step explanation:

because 12 is the smallest number/angle

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A track star runs two races on a certain day. The probability thathe wins the first race is 0.7, the probability that he wins th

NARA [144]

Answer:

a) 80% probability that he wins at least one race.

b) 30% probability that he wins exactly one race.

c) 20% probability that he wins neither race.

Step-by-step explanation:

We solve this problem building the Venn's diagram of these probabilities.

I am going to say that:

A is the probability that he wins the first race.

B is the probability that he wins the second race.

C is the probability that he does not win any of these races.

We have that:

$A = a + (A \cap B)$

In which a is the probability that he wins the first race but not the second and $A \cap B$ is the probability that he wins both these races.

By the same logic, we have that:

$B = b + (A \cap B)$

The probability that he wins both races is 0.5.

This means that $A \cap B = 0.5$

The probability that he wins the second race is 0.6

This means that $B = 0.6$

$B = b + (A \cap B)$

$0.6 = b + 0.5$

$b = 0.1$

The probability that he wins the first race is 0.7.

This means that $A = 0.6$

$A = a + (A \cap B)$

$0.7 = a + 0.5$

$a = 0.2$

A) he wins at least one race.

This is

$P = a + b + (A \cap B) = 0.2 + 0.1 + 0.5 = 0.8$

There is an 80% probability that he wins at least one race.

B) he wins exactly one race.

This is

$P = a + b = 0.2 + 0.1 = 0.3$

There is a 30% probability that he wins exactly one race.

C) he wins neither race

Either he wins at least one race, or he wins neither. The sum of these probabilities is 100%.

From a), we have that there is an 80% probability that he wins at least one race.

So there is a 100-80 = 20% probability that he wins neither race.

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3 years ago

The vertex angle of an isosceles triangle is 20° less than the sum of the base angles. Which system of equations can be used to

WINSTONCH [101]

The answer to the above question can be explained as under -

We know that, the sum of angles of triangle is 180°.

So, vertex angle plus base angles are equal are equal to 180°.

Let the vertex angle be represented by "v" and base angles be represented by "b".

Thus, v + b + b = 180°

So, v + 2b = 180°

Next, the question says, the vertex angle is 20° less than the sum of base angles.

Thus, 2b - 20° = v

<u>Thus, we can conclude that the correct option is A) v + 2b = 180°, 2b - 20° = v</u>

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3 years ago

How many inches are in 50.8 centimeters? equality statement: 1 in = 2.54 cm.

Darina [25.2K]

C. 20in
All you have to do is set up the proportions, then cross multiply.

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3 years ago

How many solutions does the equation below have?

miskamm [114]

Answer:

1. none

Step-by-step explanation:

When you simplify the expression, you see that the statement is is false for any value of x.

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3 years ago

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A circle is defined by the equation given below.

Zielflug [23.3K]

X2+y2–x–2y–11/4=x2−x+14−14+y2−2y+4−4−11/4=(x−12)2+(y−2)2−14−4−114=(x−12)2+(y−2)2−7=0(x−12)2+(y−2)2=(7√)2 Center(1/2 ,2) radius = \sqrt 7

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3 years ago