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uranmaximum [27]
2 years ago
10

Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

keep in stock. At the end of one year, the store used the weekly sales information to construct a 95% confidence interval for the mean number of emeralds sold per week. The confidence interval they calculated was ( 3.25 , 4.51 ) . Use the confidence interval to find the point estimate for the mean and the margin of error. Give your answers precise to two decimal places.
Mathematics
1 answer:
Ratling [72]2 years ago
8 0

Answer: point estimate = 3.88

Margin of error = 0.63

Step-by-step explanation:

Confidence interval is written in the form,

(Point estimate - margin of error, Point estimate + margin of error)

The sample mean, x is the point estimate for the population mean. Let m represent the margin of error. Since the confidence interval is given as (3.25 , 4.51), it means that

x - m = 3.25

x + m = 4.51

Adding both equations, it becomes

2x = 7.76

x = 7.76/2

x = 3.88

Substituting x = 3.88 into x + m = 4.51, it becomes

3.88 + m = 4.51

m = 4.51 - 3.88

m = 0.63

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masha68 [24]

By the binomial theorem,

7^n=(6+1)^n=6^n+n6^{n-1}+\dbinom n26^{n-2}+\cdots+\dbinom n{n-2}6^2+n6^1+1

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.

7 0
2 years ago
Which statement shows how two polynomials 4x + 6 and 2x2 − 8x demonstrate the closure property when multiplied?
steposvetlana [31]

Answer:

8x^{3} -20x^{2} -48x is a polynomial

Step-by-step explanation:

Given : polynomials 4x+6 and2x^{2} -8x

Solution:

(4x+6)*(2x^{2} -8x)

4x(2x^{2} -8x)+6(2x^{2} -8x)

8x^{3} -32x^{2}+12x^{2} -48x

8x^{3} -20x^{2} -48x

Polynomial :An expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable.

Thus 8x^{3} -20x^{2} -48x is a polynomial

Hence option A is correct.




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2 years ago
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A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be,
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The starting value is 20,300, and the value is decreasing by 9.5% each year.

Because it decreases by 9.5% each year based on the previous amount, we use an exponential decay model.

A decrease by 9.5% corresponds to multiplying by 91.5% each year.

We write . We plug in 11 years for t.

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Answer:6.4

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hiking                                             3

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horseback riding                         1.2

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3+1.45+1.2+0.75=6.4

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its a, b, and d

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