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3 years ago

Please can anyone help me with this question? I'm really struggling with it

Mathematics

1 answer:

xenn [34]3 years ago

7 0

Answer:

83.9°

Step-by-step explanation:

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.

a= 13 cm

a2= 169cm

b= 4cm

b2=16 cm

a2+b2= 185cm (c2)

c=13.6cm

after wards use the law of cosines and c= 83.9°

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Answer:

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Step-by-step explanation:

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3 years ago

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4 years ago

A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers ar

Inga [223]

Answer:

Option 4 - 0.8508

Step-by-step explanation:

Given : A multiple choice test consists of 60 questions. Each question has 4 possible answers of which one is correct. If all answers are random guesses.

To find : Estimate the probability of getting at least 20% correct ?

Solution :

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$P(X\geq 12)=1- [^{60}C_0(0.25)^0(1-0.25)+^{60-0}+^{60}C_1(0.25)^1(1-0.25)^{60-1}+^{60-1}+^{60}C_2(0.25)^2(1-0.25)^{60-2}+^{60}C_3(0.25)^3(1-0.25)^{60-3}+^{60}C_4(0.25)^4(1-0.25)^{60-4}+^{60}C_5(0.25)^5(1-0.25)^{60-5}+^{60}C_6(0.25)^6(1-0.25)^{60-6}+^{60}C_7(0.25)^7(1-0.25)^{60-7}+^{60}C_8(0.25)^8(1-0.25)^{60-8}+^{60}C_9(0.25)^9(1-0.25)^{60-9}+^{60}C_{10}(0.25)^{10}(1-0.25)^{60-10}+^{60}C_{11}(0.25)^{11}(1-0.25)^{60-11}]$

$P(X\geq 12)\approx 0.8508$

Therefore, option 4 is correct.

4 0

4 years ago