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polet [3.4K]
3 years ago
6

Pls help me solve this question . Thank you

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

(i) The probability of failing to qualify on the first two jumps and succeeding on the third is

(1 - 0.8) (1 - 0.8) 0.8 = 0.032

In other words, if X is the random variable representing the first qualifying jump, then X is geometrically distributed and the probability of qualifying for the final round on exactly the n-th jump is

P(X=n) = (1-0.8)^{n-1}\times0.8

(ii) In order to qualify for the final round, David has to succeed on at least one jump. Let Y be the random variable representing how many successful jumps are made. Then Y is binomially distributed with

P(Y = n) = \dbinom3n 0.8^n\times(1-0.8)^{3-n}

The probability of succeeding at least once is

P(Y=1) + P(Y=2) + P(Y=3) \\\\ = \dbinom310.8(1-0.8)^2 + \dbinom320.8^2(1-0.8) + \dbinom33 0.8^3 = \boxed{0.992}

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Write the standard form of the equation of the circle with center (-5,-7) that passes through the point (7,5).
shutvik [7]

Answer:

(x + 5)² + (y + 7)² = 288

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

The radius is the distance from the centre (- 5, - 7) to the point on the circle (7, 5)

Use the distance formula to calculate r

r = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (- 5, - 7) and (x₂, y₂ ) = (7, 5)

r = \sqrt{(7+5)^2+(5+7)^2} = \sqrt{12^2+12^2} = \sqrt{288}

Hence

(x - (- 5))² + (y - (- 7))² = (\sqrt{288})², that is

(x + 5)² + (y + 7)² = 288

4 0
3 years ago
Part III: Find the unknown side lengths, AB and BC. HINT: Use either the Pythagorean Theorem or special right triangle propertie
yaroslaw [1]

The measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.

<h3>What is a right-angle triangle?</h3>

If any of its inner angles is 90 degrees, the triangle is said to be right-angled. Another term for this triangle is the right triangle or 90-degree triangle.

From the given triangle, it is observed that one of the angles is 90°, showing the given triangle is a right-angle triangle.

From the Δ ABC we found;

tan 45° = AB/BC

1=AB/BC

AB=BC

sin 45° = AB/AC

(1/√2)=AB/AC

AC = √2 AB

From the graph, it is observed that

AB=BC =3 units

AC=  √2 AB

AC = 3√2 units

Hence, the measurement of sides AB, BC, and AC will be 3 units,3 units, and 3√2 units respectively.

To learn more about the right-angle triangle, refer;

brainly.com/question/3770177

#SPJ1

4 0
2 years ago
Evaluate.<br> PLEASE HELP QUICK!
Alinara [238K]

Answer:

54

Step-by-step explanation:

4^3-4/2*5

4^3=64

64-4/2*5

-4/2=-2

64-2*5

-2*5=-10

64-10=54

Parenthesis

Exponent

Multiply or Divide (whichever comes first)

Add or Subtract (whichever comes first)

Hope this helps

5 0
2 years ago
Plzz hellpldppdopbdjdj​
Natasha2012 [34]

Answer:

78 squared feet

Step-by-step explanation:

area= base x height

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and yeah

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6 0
3 years ago
Read 2 more answers
Explain how both are correct./ bc I have the answer but I didn’t explain
Rudik [331]
They are both correct becuase lets say it was a shirt that was $30 and it was 30% off. For Jasani it would be 30 * 0.7 which equals $9 then you would subtract this 30 - 9 = 21. For Hanna it would be 30 - 0.3(30) which equals $21. So in the end they are both correct!
5 0
3 years ago
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