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s344n2d4d5 [400]
3 years ago
11

A Starburst candy package contains 12 individual candy pieces. Each piece is equally likely to be berry, orange, lemon, or cherr

y, independent of all other pieces. (a) What is the probability that a Starburst package has only berry or cherry pieces and zero orange or lemon pieces
Mathematics
1 answer:
Oksanka [162]3 years ago
4 0

Answer:

(a) Each piece is “berry or cherry” with probability p = 1/2. The proba-

bility of only berry or cherry pieces is p

12 = 1/4096.

Step-by-step explanation:

(b) Each piece is “not cherry” with probability 3/4. The probability all 12

pieces are “not pink” is (3/4)12 = 0.0317.

(c) For i = 1, 2, . . . , 6, let Ci denote the event that all 12 pieces are flavor i.

Since each piece is flavor i with probability 1/4, P[Ci

] = (1/4)12. Since

Ci and Cj are mutually exclusive,

P[F1] = P[C1 ∪ C2 ∪ · · · ∪ C4] = X

4

i=1

P[Ci

] = 4 P[C1] = (1/4)11

.

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4 years ago
I need help with this
ASHA 777 [7]

Answer:

432ft²

Step-by-step explanation:

A = π(12)²

A = 144π = 432

3 0
3 years ago
Whenever he visits Dayton, Quincy has to drive 12 miles due north from home. Whenever he
777dan777 [17]

Answer: 20 miles

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:

x^2 = a^2 + b^2

Where x is the hypotenuse of the triangle (in this case the distance between Dayton and Belleville) and a and b are the other sides.

Replacing with the values given:

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Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
A local board of education conducted a survey of residents in the community concerning a property tax levy on the coming local b
IrinaK [193]

Answer:

a. [ 0.454,0.51]

b. 599.472 ~ 600

Step-by-step explanation:

a)

Confidence Interval For Proportion

CI = p ± Z a/2 Sqrt(p*(1-p)/n)))

x = Mean

n = Sample Size

a = 1 - (Confidence Level/100)

Za/2 = Z-table value

CI = Confidence Interval

Mean(x)=410

Sample Size(n)=850

Sample proportion = x/n =0.482

Confidence Interval = [ 0.482 ±Z a/2 ( Sqrt ( 0.482*0.518) /850)]

= [ 0.482 - 1.645* Sqrt(0) , 0.482 + 1.65* Sqrt(0) ]

= [ 0.454,0.51]

b)

Compute Sample Size ( n ) = n=(Z/E)^2*p*(1-p)

Z a/2 at 0.05 is = 1.96

Samle Proportion = 0.482

ME = 0.04

n = ( 1.96 / 0.04 )^2 * 0.482*0.518

= 599.472 ~ 600

8 0
3 years ago
These circles are:<br><br> A. tangent<br> B. congruent<br> C. congruent<br> D. none of these
Goshia [24]

Answer:

A. tangent

Step-by-step explanation:

Hi there!

Tangent circles are circles that intersect (or "touch") at exactly one point. These circles appear to have this characteristic.

I hope this helps!

3 0
3 years ago
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