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Studentka2010 [4]
3 years ago
5

What is an expression for the area of a circle as a function of its circumference?

Mathematics
1 answer:
NISA [10]3 years ago
3 0
\pi\frac{d}{2} ^{2}
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It is known that 10% of the items produced by a certain machine end up having a flaw. If we select 7 items from the production l
denpristay [2]

Step-by-step explanation:

p = 0.1, q = 0.9, n = 7

a) Use complementary probability.

P(at least 1) = 1 − P(0)

P(at least 1) = 1 − (0.9)⁷

P(at least 1) = 0.522

b) Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

P(3) = ₇C₃ (0.1)³ (0.9)⁴

P(3) = 0.023

6 0
3 years ago
Find the number of turns or bumps in the graph of the function f(x) = x² - 25
Papessa [141]

Answer:

1 turn

Step-by-step explanation:

this is what the graph would look like:

4 0
2 years ago
80% is what fraction of the whole quantity?
USPshnik [31]
The answer is 80/100
8 0
3 years ago
two sides of a parallelogram meet at an angle of 50 degrees. If the length of one side is 3 meters and the length of the other s
Anon25 [30]

Answer:

The longer diagonal has a length of 7.3 meters.

The angles are 31.65° and 18.35°

Step-by-step explanation:

If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:

50°, 130° and 130°.

The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.

Using the law of cosines in one of these two triangles, we have:

diagonal^2 = a^2 + b^2 - 2ab*cos(130\°)

diagonal^2 = 3^2 + 5^2 - 2*3*5*(-0.6428)

diagonal^2 = 53.284

diagonal = 7.3\ meters

So the longer diagonal has a length of 7.3 meters.

To find the angles that this diagonal forms with the sides, we can use the law of sines:

a / sin(A) = b/sin(B)

5 / sin(A) = diagonal / sin(130)

sin(A) = 5 * sin(130) / 7.3

sin(A) = 0.5247

A = 31.65\°

The other angle is B = 50 - 31.65 = 18.35°

Please check the image attached for better comprehension.

7 0
3 years ago
A car travels 42 miles for every 2 gallons of gasoline. What is the unit rate?
svetoff [14.1K]

Answer:

21 miles per 1 gallon

Step-by-step explanation:

The unit rate is how many to 1 so, 42 divided by 2 equals 21 so, the answer is given.

PLZ MARK BRAINLIEST!!!

5 0
3 years ago
Read 2 more answers
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