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const2013 [10]
3 years ago
8

Plz help I’ll mark brainliest

Mathematics
2 answers:
timurjin [86]3 years ago
7 0

Answer:

Step-by-step explanation:

Using Pythagoras Theorem, hypotenuse = 5

h = \sqrt{a^{2}+ b^{2}

h = \sqrt{9+16 }\ = \sqrt{25}\ = 5

sin x = height / hypotenuse = 3 / 5

cos y = base / hypotenuse = 3 / 5

sin x = cos y = 3 / 5

V125BC [204]3 years ago
3 0
Ok the answer is Sin x cos y=5
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Read 2 more answers
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
ehidna [41]

Answer:

The probability that more than a third of the buyers would prefer brown is 0.8491.

Step-by-step explanation:

This is binomial problem with n=15 and p=0.50.

The binomial formula of probaility is:

P(X=x)=\frac{n!}{x!(n-x)!} p^{x} (1-p)^{n-x}

More than a third of the buyers: 15÷3=5

We have to find P(x>5).

P(x>5) = 1 - P(x≤5) = 1 - P(x=0) - P(x=1) - P(x=2) - P(x=3) - P(x=4) - P(x=5)

P(x=0)=\frac{15!}{0!15!} (0.5)^{0} (1-0.5)^{15}=0.00003

P(x=1)=\frac{15!}{1!14!} (0.5)^{1} (1-0.5)^{14}=0.00046

P(x=2)=\frac{15!}{2!13!} (0.5)^{2} (1-0.5)^{13}=0.00320

P(x=3)=\frac{15!}{3!12!} (0.5)^{3} (1-0.5)^{12}=0.01389

P(x=4)=\frac{15!}{4!11!} (0.5)^{4} (1-0.5)^{11}=0.04165

P(x=5)=\frac{15!}{5!10!} (0.5)^{5} (1-0.5)^{10}=0.09164

P(x>5) = 1 - P(x≤5)= 1- 0.00003 - 0.00046 - 0.00320 - 0.01389 - 0.04165 - 0.09164 = 0.8491

4 0
3 years ago
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