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IrinaVladis [17]
2 years ago
5

Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music how many more of Jorge’s

realatives as compared to his classmates like salsa music?
Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
8 0
<span>To solve this problem you must apply the proccedure shown below:
 1. You have the following information given in the problem above:
 - There are 75 classmates.
 - 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music.
 2. Therefore, you have:
 - Number of his classmates that likes salsa music:
 75x0.56=42 
 - Number of his r</span>elatives that like salsa music:
 60x0.80=48
 3. Then you have:
 48-42=6
 Therefore, the answer is: 6.
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To increase sales, a local donut shop began putting an extra donut in some of the boxes. Customers are unaware of which boxes ha
Bingel [31]

Answer:

Step-by-step explanation:

Hello!

Part A

First, determine your study variable:

X: Number of boxes with an extra donut in a sample of eight.

To see if the variable has a Binomial distribution you have to check if the binomial criteria are met:

1. The number of observation of the trial is fixed (In this case n = 8, the boxes each customer bought make the sample)

2. Each observation in the trial is independent, this means that none of the trials will affect the probability of the next trial (In this case, the amount of donuts in one box does not affect on the probability of the next box having an extra donut)

3. The probability of success in the same from one trial to another (In this case our "success" will be that the box has an extra donut, according to the owners claim that is 1/7; ρ=0,14)

So X≈ Bi (n;ρ)

Where n represents the sample (n=8) and ρ is the probability of success (ρ=0.14)

Part B

The mean of the binomial distribution is E(X)= nρ

E(X)= 8 * 0.14= 1.12

The mean of the distribution is also called the expected value. You'd expect that 1.12 boxes have an extra donut.

The variance of the binomial distribution is V(X)= nρ(1 - ρ)

V(X)= 8*0.14*(1 - 0.14)= 0.9632

Its square root is the standard deviation

√V(X)= 0.98

The standard deviation is a measure of dispersion, it indicates how much the values ​​of the distribution of the central value are separated. In this case, 0.98 indicates that the distribution of the number of boxes with an extra donut is far from the expected value.

Part C

Two of the eight customers buy a box with an extra donut, symbolically:

P(X=2) = P(X≤2) - P(X≤1)= 0.91 - 0.68 = 0.22

There is a 22% chance that two customers bought a box with an extra donut.

Compute:

P(X≥2)= 1 - P(X<2)= 1 - P(X≤1)= 1 - 0.68= 0.32

There is a 32% chance that two or more customers bought a box with an extra donnut.

I hope it helps!

3 0
2 years ago
3. The probability of a marksman scoring a bulls-eye on any shot is 0.26. The probability
Misha Larkins [42]

Answer:

a) 0.68

b) 0.08

c) 0.74

Step-by-step explanation:

Given that:

Probability of hitting bulls eye, P(B) = 0.26

Probability of an inner, P(I) = 0.42

Probability of an outer, P(O) = 0.24

a) Probability of hitting an inner or better (inner or bulls eye):

P(I or B) = P(I \cup B)

Formula for P(P \cup Q)  where P(P) and P(Q) are the probabilities of two mutually exclusive events i.e. having nothing in common:

<em>P(P </em>\cup<em> Q)  = P(P) + P(Q)</em>

P(I \cup B)  = P(I) + P(B) = 0.26 + 0.42 = <em>0.68</em>

b) Probability of failing to hit the target:

P(F) = 1 - (P(B)+P(I)+P(O))

P(F) = 1 - (0.26 + 0.42 + 0.24)) = 1 - 0.92 = <em>0.08</em>

c) Probability of failing to score a bulls eye:

P(B)' = 1 - P(B) = 1 - 0.26  = <em>0.74</em>

So, the answers are:

<em>a) 0.68</em>

<em>b) 0.08</em>

<em>c) 0.74</em>

8 0
2 years ago
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garri49 [273]

answer:

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2 years ago
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Alex the electrician needs 34 yards of electrical wire to complete his job. He has a coil of wiring in his workshop. The coiled
bogdanovich [222]

Answer: This coil will not be enough to complete the job.

Step-by-step explanation:

The circumference of the coil of wiring can be calculated with:

C=2\pi r

Where r is the radius and \pi=3.14

The radius can be calculated by dividing the diameter by 2. Then:

r=\frac{18in}{2}\\\\r=9in

Convert 9 inches to yards (1 yard=36 inches):

(9in)(\frac{1yd}{36in})=0.25yd

Substitute this radius into the formula:

C=2(3.14)(0.25yd)\\C=1.57yd

Since there are 21 circles of wire, you need to multiply C=1.57yd by 21:

C_T=(1.57yd)(21)=32.97yd

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough  to complete the job.

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2 years ago
Match the real-world descriptions with the features they represent within the context of Melissa’s garden. Not all tiles will be
Leni [432]
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