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kherson [118]
3 years ago
5

The mean of a set of normally distributed data is 600 with a standard devastation of 20. What percent of data is between 580 and

620
Mathematics
1 answer:
yuradex [85]3 years ago
3 0

Answer: 68%

Step-by-step explanation:

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The probability that a certain football team wins a match is 2/3.Given that the team plays 4 matches, find the probability that
Vlad [161]

Answer:

The probability is 32/81

Step-by-step explanation:

We know that:

The probability that the team wins is p = 2/3

Then the probability of not winning is q = 1 - p = 1 - 2/3 = 1/3

The team plays 4 matches.

We want to find the probability that the team wins 1 more than half of the number of matches played.

So if there are 4 matches, the half is 2 matches

one more than half is then 3 matches.

Let's assume that the team wins the first 3 matches, and does not win the last match.

match one, the team wins with prob: P₁ = 2/3

match two, the team wins with prob: P₂ = 2/3

match three, the team wins with prob: P₃ = 2/3

match four, the team wins with prob: P₄ = 1/3

The joint probability is the product of all the individual probabilities:

P = (2/3)*(2/3)*(2/3)*(1/3)

Now we must also considerate the permutations, we have the cases:

the team does not win the fourth match

the team does not win the third match

the team does not win the second match

the team does not win the first match

So we have just four permutations, then the total probability is:

probability = 4*P = 4*(2/3)*(2/3)*(2/3)*(1/3) = 4*(8/81) = (32/81)

8 0
2 years ago
A civil engineer is mapping the overhead clearance of his family’s property on a coordinate grid. The ground is represented by t
Rudik [331]
We are given
x1 = 10 ft
y1 = 14 ft
x2 = 13 ft
y2 = 9 ft

We are asked to find the distance between the base of the house to the closest treetop.

So,
d1 = √(10² + 14²) = 17.20
d2 √(13² + 9²) = 15.81

The distance is 15.81 ft to the closest treetop which is the tree 13 feet from the base of the house.
7 0
3 years ago
Read 2 more answers
About 15​% of the population of a large country is allergic to pollenallergic to pollen. if two people are randomly​ selected, w
zubka84 [21]
P(allergic) = 0.15

P(both are allergic to pollen) = (0.15)² = 0.0225 (you can use the binomial probability also)

Q(NOT allergic to pollen) = 1 - 0.0225 = 0.9775
Binomial probability

Probability of NEITHER is allergic
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
²C₀(0.15)⁰(0.9775)² = 0.9555

P(at LEAST ONE is allergic) = 1- 0.9555 = 0.0444
7 0
3 years ago
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Solve the division equation using the model. (2 points)
julia-pushkina [17]
3 16
Explanation
Factor the numerator and denominator and cancel the common factors.
4 0
2 years ago
Suppose the interval ​[negative 3−3​,negative 1−1​] is partitioned into nequals=44 subintervals. What is the subinterval length
Kobotan [32]

Answer: Δx​ = 0.5

Step-by-step explanation:

We have the interval:

​[−3​, −1​]

and we partition it into 4 equal intervals.

first, the range of our interval is equal to the difference between the extremes, this is:

-1 - (-3) = -1 + 3 = 2

Then, if we divide it into 4, we have 4 segments with a range of:

2/4 = 0.5

Then the subinterval delta is 0.5, and the 4 intervals are:

​[−3​, -2.5​],  ​[−2.5, −2​],  ​[−2​, −1.5​],  ​[−1.5, −1​]

6 0
3 years ago
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