Answer:
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 8 - 1 = 7
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.3246
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.32 - 0.0502 = 0.2698 mg/kg
The upper end of the interval is the sample mean added to M. So it is 0.32 + 0.0502 = 0.3702 mg/kg
The 95% confidence interval for the concentration in whitefish found in Yellowknife Bay is (0.2698 mg/kg, 0.3702 mg/kg).
Answer:
x=-6
Step-by-step explanation:
Let x be the number
3x = x^2 -54
Subtract 3x
3x-3x = x^2 -3x-54
0 = x^2 -3x-54
Factor
What 2 numbers multiply to -54 and add to -3
-9*6 = -54
-9+6 = -3
0=(x-9) (x+6)
Using the zero product property
x-9=0 x+6=0
x=9 x=-6
The questions asks for the negative solution
x=-6
A) sum 3 + 7 =10
b) divide <span> £</span>300 ÷ 10 = <span> £</span>30
c) multiply:
3 x 30 = <span> £</span>90
7 x 30 = <span> £</span>210
Values are: £90 and <span> £210</span>
The <u>correct answer</u> is:
<span>If a figure is a triangle, then it has three sides.
Explanation:
A conditional is an if-then statement. The part after "if" is called the hypothesis; the part after "then" is called the conclusion.
We know that triangles have 3 sides. We will start out with "if a figure is a triangle"; we end with "then it has three sides."
This is a true conditional statement.</span>
Complete question is;
An architect plans to build an extension to meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x+8) represents the area of the deck, where 4 is the width, in meters, and (x+8) represents the extended length, in meters. Use distributive property to write an expression that represents the total area of meilings new deck.
Answer:
4x + 32
Step-by-step explanation:
We are told that the expression 4(x+8) represents the area of the deck.
Also, that 4 is the width, in meters, and (x+8) represents the extended length, in meters.
Thus, area is;
A = 4(x+8)
Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.
Thus;
A = (4 * x) + (4 × 8)
A = 4x + 32