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andreev551 [17]
2 years ago
13

Which inequality represents this situation?

Mathematics
2 answers:
Inessa05 [86]2 years ago
8 0

Answer:

1.29x+1.35y≤12

Step-by-step explanation:

The total amount of money spent on apples is: 1.29x

The total amount of money spent on oranges is: 1.35y  

No more than $12 means $12 or less, mathematically: ≤ 12

Combining this, we get: 1.29x+1.35y≤12

Veseljchak [2.6K]2 years ago
3 0

Answer:

Option D. 1.29x + 1.35y ≤ 12

Step-by-step explanation:

Nick is making a fruit salad.

He buys apples per pound for = $1.29

He buys oranges per pound for = $1.35

He spend no more than $12.00 or we can say less than equal to $12

Let x represent the number of pounds of apples that Nick buys and y represent the number of pounds of oranges.

Cost of x pounds of apples = $1.29x

Cost of y pounds of oranges = $1.35y

Total cost = 1.29x + 1.35y

Total cost should be less than equal to $12.00

Therefore, inequality will be 1.29x + 1.35y ≤ 12

Option D. is the answer.

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Answer:

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2 years ago
It is said that a student’s college GPA (grade point index) can be predicted by his/her HOCS (higher- order cognitive skills) su
cricket20 [7]

Answer:

apart from using the hoc to predict the college students gpa, some other variables can be used

1. the students intelligent quotient

2. ability to remember

3. study time

4. gym practice

Step-by-step explanation:

<u>1. the students intelligent quotient</u>

<u>gpa</u><u> </u>has a positive relationship with iq. they are both directly related. The more the iq of a a student, the greater is his ability to understand and have a good gpa. the slope will therefore be positive and be in an upward direction.

2. <u>ability to remember</u>

the gpa of students who have a good ability to remember but do not have a good grasp of the subject may not be high. the slope would be in a slightly upward direction

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gpa and gym practice are not related so the slope would be in a downward direction.

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6 0
2 years ago
A lake contains 4 distinct types of fish. Suppose that each fish caught is equally likely to be any one of these types. Let Y de
strojnjashka [21]

Answer:

a) P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

a= μ-3.16*σ , b= μ+3.16*σ

b) P(Y≥ μ+3*σ ) ≥ 0.90

b= μ+3*σ

Step-by-step explanation:

from Chebyshev's inequality for Y

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

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Y =  the number of fish that need be caught to obtain at least one of each type

μ = expected value of Y

σ = standard deviation of Y

P(| Y - μ|≤ k*σ ) = probability that Y is within k standard deviations from the mean

k= parameter

thus for

P(| Y - μ|≤ k*σ ) ≥ 1-1/k²

P{a≤Y≤b} ≥ 0.90 →  1-1/k² = 0.90 → k = 3.16

then

P(μ-k*σ≤ Y ≤ μ+k*σ ) ≥ 0.90

using one-sided Chebyshev inequality (Cantelli's inequality)

P(Y- μ≥ λ) ≥ 1- σ²/(σ²+λ²)

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then for

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5 0
2 years ago
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Answer:

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Therefore, the greatest possible length is 56 cm

6 0
2 years ago
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