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luda_lava [24]
3 years ago
10

A botanist wishes to estimate the typical number of seeds for a certain fruit. She samples 48 specimens and counts the number of

seeds in each. Use her sample results (mean = 36.9, standard deviation = 16.5) to find the 98% confidence interval for the number of seeds for the species. Enter your answer as an open-interval (i.e., parentheses) accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
Mathematics
1 answer:
baherus [9]3 years ago
5 0

Answer: The open interval would be (31.4,42.5).

Step-by-step explanation:

Since we have given that

mean = 36.9

Standard deviation = 16.5

n = 48

At 98% confidence interval, z = 2.33

So, Interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=36.9\pm 2.33\dfrac{16.5}{\sqrt{48}}\\\\=36.9\pm 5.549\\\\=(36.9-5.5,36.9+5.6\\\\=(31.4,42.5)

Hence, the open interval would be (31.4,42.5).

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The area of a trapezoid is 60 square feet. If the bases of the trapezoid are 8 feet and 12 feet, what is the height?
Margarita [4]

Answer:

6

Step-by-step explanation:

60 = 12+8 divided 2 times height

60 = 20/2 x H

60 = 10 x H

60/10 = h

6 = H

7 0
2 years ago
Of the 58 employees in a firm, 8 are considered support staff, and 7 of the employees have more than five years of experience. A
polet [3.4K]

Using statistical concepts, it is found that the number of outcomes that are possible for the complement of the union of Events J and K is of 43.

<h3>What is the union of events J and K?</h3>

It means that at least one of event J or event K is true, hence, it is composed by employees that are either considered support staff(less than 5 years of experience) or employees that have more than five years of experience, combining a total of 7 + 8 = 15 employees.

<h3>What is the complement?</h3>

The total number of outcomes of the union of J and K, plus the complement, add to the total number of 58, hence:

15 + x = 58

x = 43.

The number of outcomes that are possible for the complement of the union of Events J and K is of 43.

More can be learned about complementary events at brainly.com/question/9752956

6 0
1 year ago
I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd
Alex

Answer:    $5,828.28

<u>Step-by-step explanation:</u>

Use the Compound Interest formula:     A=P(1+\frac{r}{n})^{nt}       where

  • A is the accrued amount (balance)
  • P is the principal (initial amount invested)
  • r is the interest rate (in decimal form)
  • n is the number of times compounded each year
  • t is the time of the investment (in years)

Given: P = 4,900

           r = 3.5% (0.035)

           n = 2

           t = 5

A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\

5 0
3 years ago
Is y=4x+3 and 4x+y=3 parallel or perpendicular or neither?
Sedbober [7]
Neither of the equations are parallel or perpendicular
3 0
3 years ago
Paul needs 40 pounds of 48% silver alloy to finish a collection of jewelry. How many pounds each of 45% silver alloy and 60% sil
Salsk061 [2.6K]
<span>Equation:
silver + silver = silver
0.45x + 0.60(40-x) = 0.48*40
----------------
45x + 60*40 - 60x = 48*40

--------
-15x = -12*40
x = (4/5)40
x = 32 lbs (amt of 45% slloy needed)
40-x = 8 lbs (amt of 60% alloy needed)</span>
8 0
2 years ago
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