Answer:
<em>- 1/2 (or - 0.5) </em>
Step-by-step explanation:
so first, simplify by combining like terms.
so 8w-6w = 2w
so now we have
2w - 8 = 4w - 7
now we have to get the w's to one side of the equation so we can solve for it. so that mean we have to subtract 2w from both sides. 2w - 2w is 0. and then 4w - 2w = 2w. so now we have
-8 = 2w - 7
then to slowly start isolating w, add 7 to both sides of th equation. so now its
-1 = 2w
finally to get w by itself divide 2 from both sides.
and the answer is
- = w
11/2 is equal to 10 1/2 pounds
Using the z-distribution, the confidence interval is given by: (11.95, 12.65).
<h3>What is a z-distribution confidence interval?</h3>
The confidence interval is:
In which:
- is the sample mean.
- is the standard deviation for the population.
In this problem, we have a 90% confidence level, hence, z is the value of Z that has a p-value of , so the critical value is z = 1.645.
The other parameters are given as follows:
Hence the bounds of the interval are:
More can be learned about the z-distribution at brainly.com/question/25890103
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For this case we have that by definition, if we draw the diagonal of a square two rectangular triangles are formed. If the diagonal measures "x", then the Pythagorean theorem is fulfilled:
Where:
l: It's the side of the square.
We know that the area of a square is given by:
So, the area is:
Answer:
Answer:
D. H = 2.1t + 12
Step-by-step explanation:
Let us assume the t be the time in minutes
And h be the water level
Now before reaching to the equation that need to be used
before this, determine the inches per minute i.e.
= 54 inches - 12 inches
= 42 inches in 20 minutes.
Now for per minute, it would be
= 42 inches ÷ 20 minutes
= 2.1 inches per minute
After this, multiply the inches per minute with the minutes t and add the sale to the beginning value i.e. 12
So the equation is
H = 2.1t + 12
hence, the last option is correct