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2 years ago

Please help me on this problem !

Mathematics

1 answer:

Rashid [163]2 years ago

8 0

Answer:

x = 5 , y = 5 $\sqrt{3}$

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values.

sin30° = $\frac{1}{2}$ , cos30° = $\frac{\sqrt{3} }{2}$ , then

sin30°= $\frac{opposite}{hypotenuse}$ = $\frac{x}{10}$ = $\frac{1}{2}$ ( cross- multiply )

2x = 10 ( divide both sides by 2 )

x = 5

and

cos30° = $\frac{adjacent}{hypotenuse}$ = $\frac{y}{10}$ = $\frac{\sqrt{3} }{2}$ ( cross- multiply )

2y = 10 $\sqrt{3}$ ( divide both sides by 2 )

y = 5 $\sqrt{3}$

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Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

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a^2 + 6^2 = 9^2

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3 years ago

Nine voltage measurements in a circuit have produced the following values: 12.09, 12.05, 11.94, 11.99, 12.12, 12.05, 12.02, 11.9

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Answer:

we can not reject any value

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From data we find the mean of the values

μ₀ = 12,03 and σ = 0,07

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So limits of our CI are:

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3 years ago

The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

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Answer:

a) 0.2725

b) 0.7275

c) 0.8948

Step-by-step explanation:

This is a binomial distribution probability problem. The formula is:

$P(x)=\frac{n!}{(n-x)!x!}p^{x}q^{n-x}$

Where

n is the number of trials [here we are taking 8 person, so n = 8]

x is what we are looking for [in the problem]

p is the probability of success [ 15%, so p = 0.15

q is the probability of failure [q = 1-p = 0.85]

Now,

We are looking for "no one" did fling, so x = 0

Let's put into formula and find out the probability:

$P(x=0)=\frac{8!}{(8-0)!0!}(0.15)^{0}(0.85)^{8}\\P(x=0)=0.2725$

So, the probability that no one has done a one-time fling is 0.2725

Atleast 1 person means P(x ≥ 1).

This can be found by:

P(x ≥ 1) = 1 - P(x=0) = 1 - 0.2725 = 0.7275

THus, Probability that at least one person has done a one-time fling is 0.7275

No more than 2 people means P (x≤2).

This is essentially

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2)

P ( x = 0 ) is found in part (a), which is 0.2725

P (x = 1 ) and P(x=2) can be found using formula:

$P(x=1)=\frac{8!}{(8-1)!1!}(0.15)^{1}(0.85)^{7}\\P(x=1)=0.3847$

and

$P(x=2)=\frac{8!}{(8-2)!2!}(0.15)^{2}(0.85)^{6}\\P(x=2)=0.2376$

Thus,

P ( x ≤ 2 ) = P(x=0) + P(x=1) + P(x=2) = 0.2725 + 0.3847 + 0.2376 = 0.8948

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Firlakuza [10]

Answer:

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