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fenix001 [56]
3 years ago
11

A volleyball player’s serving percentage is 90%. Six random serves are selected. What is the probability that 5 of those serves

were successful?
0.09
0.35
0.59
0.90
Mathematics
1 answer:
Kryger [21]3 years ago
7 0

Answer:

C (.35) on edge2021! :)

Step-by-step explanation:

for this problem we use the formula <u>P(X = k) = (n over k)p^k(1-p)^n-k</u> and in this case,

k = 5

n = 6

p = .90

and (n over k), n choose k, is calculated by (n! / k!(n-k)!) or just look up "6 choose 5" and you'll figure out that it's equal to 6.

so you end up with P(X = 5) = 6(.90)^5(1-.90)^6-5 which will give you .35 when put in a calculator.

You might be interested in
What is the volume, in cubic in, of a rectangular prism with a height of 8in, a width of 5in, and a length of 9in?
Maslowich

Answer:

360 in ^3

Step-by-step explanation:

The volume is given by

V = l*w*h

 = 8 * 5 * 9

  = 360 in ^3

3 0
3 years ago
42:28
gogolik [260]

Answer:

The statements about arcs and angles that are true in the figure are;

1) ∠EFD ≅ ∠EGD

2) \overline{ED}\cong \overline{FD}

3) mFD = 120°

Step-by-step explanation:

1) ∠ECD + ∠CEG + ∠CDG + ∠GDE = 360° (Sum of interior angle of a quadrilateral)

∠CEG = ∠CDG = 90° (Given)

∠GDE = 60° (Given)

∴ ∠ECD = 360° - (∠CEG + ∠CDG + ∠GDE)

∠ECD = 360° - (90° + 90° + 60°) = 120°

∠ECD = 2 × ∠EFD (Angle subtended is twice the angle subtended at the circumference)

120° = 2 × ∠EFD

∠EFD = 120°/2 = 60°

∠EFD ≅ ∠EGD

∠ECD = 120°

∠EGD = 60°

∴∠EGD ≠ ∠ECD

2) Given that arc mEF ≅ arc mFD

Therefore, ΔECF and ΔDCF are isosceles triangles having two sides (radii EC and CF in ΔECF and radii EF and CD in ΔDCF

∠ECF = mEF = mFD = ∠DCF (Given)

∴ ΔECF ≅ ΔDCF (Side Angle Side, SAS, rule of congruency)

\\ \overline{EF}\cong \overline{FD} (Corresponding Parts of Congruent Triangles are Congruent, CPCTC)

∠FED ≅ ∠FDE (base angles of isosceles triangle)

∠FED + ∠FDE + ∠EFD = 180° (sum of interior angles of a triangle)

∠FED + ∠FDE = 180° - ∠EFD = 180° - 60° = 120°

∠FED + ∠FDE = 120° = ∠FED + ∠FED (substitution)

2 × ∠FED  = 120°

∠FED = 120°/2 = 60° = ∠FDE

∴ ∠FED = ∠FDE = ∠EFD =  60°

ΔEFD  is an equilateral triangle as all interior angles are equal

\\ \overline{EF}\cong \overline{FD}\cong \overline{ED} (definition of equilateral triangle)

\overline{ED}\cong \overline{FD}

3) Having that ∠EFD = 60° and ∠CFE = ∠CFD (CPCTC)

Where, ∠EFD = ∠CFE + ∠CFD (Angle addition)

60° = ∠CFE + ∠CFD = ∠CFE + ∠CFE (substitution)

60° = 2 × ∠CFE

∠CFE =60°/2 = 30° = ∠CFD

\overline{CF}\cong \overline{CD} (radii of the same circle)

ΔFCD is an isosceles triangle (definition)

∠CFD ≅ ∠CDF (base angles of isosceles ΔFCD)

∠CFD + ∠CDF + ∠DCF = 180°

∠DCF = 180° - (∠CFD + ∠CDF) = 180° - (30° + 30°) = 120°

mFD = ∠DCF (definition)

mFD = 120°.

5 0
3 years ago
Daniel wants to buy cookies for her friends. The area of a cookie is 113.04 in2. What is the circumference of the cookie?
prisoha [69]

Answer:

The circumference of the cookie is 37.68 inches.

Step-by-step explanation:

We have,

The area of a cookie is 113.04 square inches.

It is circular in shape. The area of circle is given by :

A=\pi r^2

r is radius of circle

r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{113.04}{3.14}} \\\\r=6\ \text{inch}

The circumference of circular shaped object is given by :

C=2\pi r\\\\C=2\times 3.14\times 6\\\\C=37.68\ \text{inch}

So, the circumference of the cookie is 37.68 inches.

7 0
3 years ago
PLZ HELP!!! I need help ASAP
hammer [34]
You distribute the negative in the second equation
4 0
3 years ago
Read 2 more answers
(Photo above! How would I find the area of this?
boyakko [2]
It is basically a square attached by a small rectangle. So figure out the area of the square and add it to the area of the rectangle and don't forget to label your answer. Hope this helped :)

7 0
4 years ago
Read 2 more answers
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