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coldgirl [10]
3 years ago
12

A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was

conducted in which a trial consisted of tossing 5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of the simulation were conducted and the results are shown in the histogram.
Based on the results of the simulation, which of the following is closest to the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed?

A 0.09

B 0.19

C 0.28

D 0.72

E 0.91

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
8 0

Answer:

Option C: 0.28

Step-by-step explanation:

This is a binomial probability distribution problem.

Now, we want to find the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed. This is written as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

From the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Thus;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

Delvig [45]3 years ago
7 0

Answer:

0.28

Step-by-step explanation:

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Juli2301 [7.4K]
Add 3 to both sides so that the equation becomes -2x^2 + 5x + 5 = 0.
To find the solutions to this equation, we can apply the quadratic formula. This quadratic formula solves equations of the form ax^2 + bx + c = 0
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                              x = [ -5 ± √(5^2 - 4(-2)(5)) ] / ( 2(-2) )
                              x = [-5 ± √(25 - (-40) ) ] / ( -4 )
                              x = [-5 ± √(65) ] / ( -4)
                              x = [-5 ± sqrt(65) ] / ( -4 )
                              x = 5/4 ± -sqrt(65)/4
The answers are 5/4 + sqrt(65)/4 and 5/4 - sqrt(65)/4..
5 0
3 years ago
Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are asfollows:S
Thepotemich [5.8K]

Answer and explanation:

Given : Strands Copper wire from a manufacturer are analyzed forstrenghth and conductivity. The Results from 100 strands are as follows :

                                                 Strength Strength

                                                    High             Low

High conductivity                         74                8

Low conductivity                         15                3

To find :

a) If a stand is randomly selected, the probability that is conductivity is high and its strength is high

The favorable outcome is 74

The probability is given by,

P=\frac{74}{100}=0.74

b) If a stand is randomly selected, the probability that its conductivity is low or  strength is low

Conductivity is low A= 15+3=18

Strength is low B= 8+3=11

Conductivity is low and  strength is low A\cap B=3

Probability is given by,

P(A\cup B)=P(A)+P(B)-P(A\cap B)

P(A\cup B)=\frac{18}{100}+\frac{11}{100}-\frac{3}{100}

P(A\cup B)=0.18+0.11-0.03

P(A\cup B)=0.26

c) Consider the event that a strand low conductivity and the event that the strand has a low strength. Are these tow events mutually exclusive?

Since the events the stand has low conductivity and the stand has low strength  are not mutually exclusive, since there exists some cases in which both the  events coincide. i.e. Intersection of both the events exists with probability 0.03.

8 0
3 years ago
What is the LCD of 11/12 and 1/8
s344n2d4d5 [400]
11/12 and 1/8
we only need to look at the denominators which is 
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3 years ago
A cereal box can hold 144 cubic inches of of cereal. Suppose the box is 8 inches long and
Korvikt [17]

Answer: \\ Volume \:  of \:  the \:  box:V = lwh \\ \Rightarrow h =  \frac{V}{lw}  =  \frac{144}{8 \times 1.5}  =  \frac{144}{12}  = 12 \\ \Rightarrow The  \: box's  \: height:12 \:  inches

5 0
3 years ago
10. Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 3 liters of natural oil for every 4
jeyben [28]

you have the ratio of natural:synthetic so;

3:4

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3*51:4°51

153:204

therefore, it'd be 204 litres of synthetic oil!!

i hope this helps you!!

7 0
2 years ago
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