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3 years ago

Evaluate sin^2 θ for θ = 45°

Mathematics

1 answer:

NISA [10]3 years ago

5 0

Answer:

$\frac{1}{2}$

Step-by-step explanation:

sin45° = $\frac{1}{\sqrt{2} }$ ← exact value , then

sin²45° = $\frac{1}{\sqrt{2} }$ × $\frac{1}{\sqrt{2} }$ = $\frac{1}{2}$

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An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the ba

sladkih [1.3K]

Answer:

(a) The probability that a randomly selected adult is either overweight or obese is 0.569.

(b) The probability that a randomly selected adult is neither overweight nor obese is 0.431.

Step-by-step explanation:

Let A = a person is over weight and B = a person is obese.

The information provided is:

An adult is considered overweight if the BMI ≥ 25 but BMI < 30.

An obese adult will have a BMI ≥ 30.

According to the range of BMI the events A and B are independent.

P (A) = 0.331 and P (B) = 0.357.

(a)

Compute the probability that a randomly selected adult is either overweight or obese as follows:

P (A ∪ B) = P (A) + P (B) - P (A ∩ B)

= P (A) + P (B) - P (A)×P (B)

$=0.331+0.357-(0.331\times0.357)\\=0.569833\\=0.569$

Thus, the probability that a randomly selected adult is either overweight or obese is 0.569.

(b)

Compute the probability that a randomly selected adult is neither overweight nor obese as follows:

$P(A^{c}\cup B^{c})=1-P(A\cup B)=1-0.569=0.431$

Thus, the probability that a randomly selected adult is neither overweight nor obese is 0.431.

4 0

4 years ago

If y = -8 when x=-1, find x when y = 16.

const2013 [10]

Step-by-step explanation:

Let's try to use the slope formula to solve this one:

$\frac{rise}{run} \\ = \frac{ - 8}{ - 1} = \frac{16}{x} \\ - 8x = - 1(16) \\ - 8x = - 16 \\ \frac{ - 8x}{ - 8} = \frac{ - 16}{ - 8} \\ x = 2$

7 0

3 years ago

Read 2 more answers

Can someone help me

Alex73 [517]

Answer:

c=20

Step-by-step explanation:

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3 years ago

Which phrase best describes the graph of the linear function:

andre [41]

Answer:

Step-by-step explanation:

it is not a parabola-not exponent, so no U shapes, and has a negative slope, which means it is heading downards

7 0

3 years ago

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A store had 100 t-shirts. each month, 30% of the t-shirts were sold and 25 new t-shirts arrived in shipments. which recursive fu

slamgirl [31]

F(n) = f(n â’ 1) â‹… 0.7 + 25, n > 0
Well, let's create a recursive function and see what option best matches it. Since our initial inventory is 100, we'll define f(0) as 100.
For month n, we sell 30% of the t-shirts. So we have f(n-1)*(1-0.3) = f(n-1)*0.7
And we get 25 more shirts. So f(n-1)*0.7 + 25
Therefore the function is
f(n) = f(n-1)*0.7 + 25, n>0
Which matches the 3rd option given.
The key thing to remember is if we sell 30% each month, that means that we retain 100% - 30% = 70% each month.

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3 years ago

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