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Ede4ka [16]
3 years ago
5

Mona wants to obtain a 94% confidence interval for the mean weight of turtles. She read in the Big Book of Turtles that the stan

dard deviation of turtle weight is 37 grams. If her confidence interval must have a length of no more than 15, how many turtles must she weigh?
Mathematics
1 answer:
mel-nik [20]3 years ago
6 0

Answer:

87

Step-by-step explanation:

Population standard deviation = σ = 37 grams

Confidence interval = 94%

(1-α)×100% = 94

⇒α = 0.06

From table z table and interpolation

z = 1.881

L = Confidence interval length = 15

N = Number of samples

L=2z_{\alpha/2}\frac{\sigma}{\sqrt N}\\\Rightarrow \sqrt N=2z_{\alpha/2}\frac{\sigma}{L}\\\Rightarrow \sqrt N=2\times 1.881\frac{37}{15}\\\Rightarrow \sqrt N=9.2796\\\Rightarrow N=86.11097616\approx 87

∴ Number of turtles must she must weigh is 87

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Look Below and then answer
lana [24]

Answer:

Julia found 5 coins

Step-by-step explanation:

lets take the # of coins julia found as "x"

alice found6

davi found 5

lucas found 6

and carter found 8

remember how to calculate mean( add all numbers and divide by the# of numbers)

so

6+5+6+8+x/5=6 (since there are "5" terms)

so

25+x/5=6

treat this like a linear equation so multiply by 5 on both sides

25+x/5(5)=6(5)

25+x=30

subtract "25 on both sides"

25-25+x=30-25

x=5

hope this helps

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2 years ago
What’s the area of 2 4/5 and 2 4/5
cricket20 [7]

Answer:

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3 0
3 years ago
I like to help in this problem: in the course of Juan 2/9 of the students are children of 13 years, 1/4 have 14 years and the re
taurus [48]
Rest are 19/36

it is 1 -(1/4) - (2/9)
= 1-9/36 - 8/36
= (36-9-8)/36
= 19/36.
3 0
3 years ago
Simplify the expression 12k-2+6k<br><br> A. 16k2<br> B. 10k+6<br> C. 18k-2<br> D. 16k
WITCHER [35]
12k-2+6k

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C
5 0
3 years ago
Read 2 more answers
14. In a right triangle, if one acute angle has measure 10x + 6 and the other has measure 2x + 7, find the larger of these two a
lubasha [3.4K]

Answer:

421/6 degrees

Step-by-step explanation:

The acute angles of a right triangle are complementary, so

10x+6+2x+7=90 \\ \\ 12x+13=90 \\ \\ 12x=77 \\ \\ x=\frac{77}{12}

So, the acute angles measures 421/6 degrees and 119/6 degrees, and thus the larger angle is 421/6 degrees.

7 0
1 year ago
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