What is the correct not sure if I'm coming up with the correct one

Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average. Margie wants to k

mojhsa [17]

Answer:

0.6804

Step-by-step explanation:

Given that Margie is practicing for an upcoming tennis tournament. Her first serve is good 20 out of 30 times on average.

Since each trial is independent and there are two outcomes, X no of good serves is binomial with n=6 and p =2/3

Required probability

= Prob that atleast four of 6 times good serve

= $P(X\geq 4)$

= $P(x=4,5 or 6)\\=1-F(3)\\=0.6804$

Formula used:

P(X=r) = $6Cr (\frac{2}{3}^r )(\frac{1}{3}^{6-r} )$

7 0

3 years ago

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Given that A=27, B=43 and c=17, solve triangle ABC to the nearest hundredth

katrin2010 [14]

When we are given 3 sides, we try to solve the angles first by using the
law of cosines
cos (A) = [b^2 + c^2 - a^2] / (2 * b * c)
cos (A) = [43^2 + 17^2 -27^2] / (2 * 43 * 17)
cos (A) = [1,849 + 289 -729] / 1,462
cos (A) = 1,409 / 1,462
cos (A) = 0.96374829001368
Angle A = 15.475

Now that we have one angle, we next can use the
Law of Sines
sin(B) / side b = sin(A) / side a
sin(B) = sin(A) * sideb / sidea
sin(B) = sin(15.475) * 43 / 27
sin(B) = 0.26682 * 43 / 27
sin (B) = 0.424935555555
Angle B = 25.147 Degrees
Remember the arc sine (0.424935555555) also equals 154.85

Finally, calculating the third angle is quite easy
Angle C = 180 - Angle (A) - Angle(B)
Angle C = 180 - 15.475 - 154.85
Angle C = 9.675

Source:
http://www.1728.org/trigtut2.htm

6 0

3 years ago

Keshawn is asked to compare and contrast the domain and range for the two functions.

Lapatulllka [165]

Answer: The correct option is 'The domain of both functions is all real numbers'.

Step-by-step explanation:

Here, functions are f(x) = 5x and g(x) =5x

Since the domain of f(x) is, D= { x : x belongs to all real numbers.}

Therefore, Domain of f(x) is all real numbers.

Since f(x) and g(x) have the same value,

Therefore, Domain of g(x) is also the set of real numbers.

Now, range of f(x) is , R= { 5x : x belongs to all real numbers.}

Therefore, Range of f(x) is all real numbers.

⇒ Range of g(x) is also all real numbers.

So, we can say by the above explanation, only option (1) is correct.

8 0

3 years ago

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ILL MARK BRAINLIEST FOR REAL ANSWERS

Llana [10]

The answer should be (0, 0).
I'm not sure. Hope it helps.

8 0

3 years ago

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Given the function f(x) = x2 and k = -3, which of the following represents a vertical shift? (2 points)

lubasha [3.4K]

Answer:
f(x) + k

Explanation:
Vertical shift is represented by adding/subtracting a constant from the original given equation.
If the constant added is +ve, this means that the curve is vertically shifted upwards
If the constant added is -ve, this means that the curve is vertically shifted downwards.

Now, for the given, we have the original function f(x) and the constant k, therefore, to shift the graph vertically, the new function would be f(x)+k
We have:
f(x) = x² and k = -3
This means that the new function would be:
x² - 3
Since the constant is -ve, we can conclude that the curve is shifted vertically downwards by 3 units

Hope this helps :)

8 0

3 years ago