Answer:
The answer is (4,2)
Step-by-step explanation:
in the point (-4,5) X=-4 AND Y=5
so if you move 8 units right, the X increases by 8(because the the x axis is left and right) so X transform into 4= -4+8=4
With Y(the y axis is up and down) whe u go 3 units down un decrease the number so Y transforms into 2== 5-3=2
The new coordiantes are(4,2)
Answer:
481
Step-by-step explanation:
There are several ways you can get there.
1. There are only 13 numbers, so you can write them down and add them up.
25 + 27 + 29 + ... + 47 + 49 = 481
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2. You can use the formula for the sum of an arithmetic sequence. This one has a starting value of 25, an ending value of 49, and 13 terms.
Sum = ((start) + (end))/2 × (number of terms) = (25 +49)/2×13 = 481
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3. You can use a formula for the terms of the series and evaluate the sum.
an = 25 +2(n -1) = 2n +23

Y=2,137.00-(15.15*X)+(33.09*X)
Its simple arithmetic when you get down to it. The $2,137 won't change because it is the base rate per month, meaning even if they don't make any units they will still earn that much in the month. You subtract from that the cost to make a unit, in this case it is $15.15 per unit, so you multiply the cost by number of units to get the month's total costs. Then add the total month's profits by multiplying the number of units by the profits of one unit.
Answer:
113.04 feet²
Step-by-step explanation:
Use the circle area formula, A =
r²
Sine the diameter is 12 feet, the radius is 6 feet
Plug in 6 as r into the formula, and 3.14 as pi, then solve:
A =
r²
A = (3.14)(6²)
A = (3.14)(36)
A = 113.04
So, the area of the circle is approximately 113.04 feet²
Answer:
For the first question the sample size is n= 3850


And replacing we got:


We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.
Step-by-step explanation:
We have the following info given:
represent the estimated proportion of all people who like the movie
represent the sample size selected
For the first question the sample size is n= 3850
For the second part they gives to us the margin of error:

We know that the confidence interval for a population proportion
of interest is given by:

And the margin of error is given by:

So then the confidence interval can be found with this formula:

And replacing we got:


We are confident at 95% that the true proportion of all people who like the movie is between 0.484 and 0.516.