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Brums [2.3K]
3 years ago
5

A news report states that the 90% confidence interval for the mean number of daily calories consumed by participants in a medica

l study is (1920, 2140). Assume the population distribution for daily calories consumed is normally distributed and that the confidence interval was based on a simple random sample of 22 observations. Calculate the sample mean, the margin of error, and the sample standard deviation based on the stated confidence interval and the given sample size. Use the t distribution in any calculations and round non-integer results to 4 decimal places.
1. What is the sample mean?
2. What is the margin of error?
3. What is the sample standard deviation?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
3 0

Answer:

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Step-by-step explanation:

vvzgsgygsv gdhvsysgvs gsvysvvs6sg he's) v gateways tsgsyysgd Yacc subs USB GA t gsd

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Aurelia wants to enlarge a 4 inch by 6 inch photo so that it has a width of 15 inches Use a ratio table to determine the new len
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Ok, this is a ratio problem; the ratio of the length to width is constant (and therefore equal):           4 /6 = 15 / x Now, with a ratio, we may do any allowable algebra operation:  cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc. Let's cross-multiply:        4x = (15)(6)          x  = 90/4<span>          x = 22.5 in. </span>
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3 years ago
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The graph of F(x), shown below, has the same shape as the graph of G(X) =
defon

Answer: (X-3)^4

Step-by-step explanation:

To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left. Shifting to the right works the same way; f (x – b) is f (x) shifted b units to the right.

Therefore, the equation is F(x) = G(x-3) = (X-3)^4

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What is the center of the circle for this equation:<br> (x + 3)² + (y - 2)² = 25
Ksju [112]

The formula for the equation of a circle is (x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and <em>r</em> is the radius.

So we need to find the values of (h, k) in order to find the center of the circle.

If we simply line up the equation of our given circle with our formula,

we can see that -h = 3 or h = -3 and -k = -2 so k = 2.

So now we have our answer.

center ⇒ (-3, 2)

8 0
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A surveyor measures the lengths of the sides of a triangular plot of land. What is the measure of the angle of the triangular pl
SVEN [57.7K]
The second one is correct
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3 years ago
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When the expression $-2x^2-20x-53$ is written in the form $a(x+d)^2+e$, where $a$, $d$, and $e$ are constants, then what is the
Sladkaya [172]
We start with 2 x^{2} -20x-53 and wish to write it as a(x+d) ^{2} +e

First, pull 2 out from the first two terms: 2( x^{2} -10x)-53

Let’s look at what is in parenthesis. In the final form this needs to be a perfect square. Right now we have x^{2} -10x and we can obtain -10x by adding -5x and -5x. That is, we can build the following perfect square: x^{2} -10x+25=(x-5) ^{2}

The “problem” with what we just did is that we added to what was given. Let’s put the expression together. We have 2( x-5) ^{2}-53 and when we multiply that out it does not give us what we started with. It gives us 2 x^{2} -20x+50-53=2 x^{2} -20x-3

So you see our expression is not right. It should have a -53 but instead has a -3. So to correct it we need to subtract another 50.

We do this as follows: 2(x-5) ^{2}-53-50 which gives us the final expression we seek:

2(x-5) ^{2}-103

If you multiply this out you will get the exact expression we were given. This means that:
a = 2
d = -5
e =  -103

We are asked for the sum of a, d and e which is 2 + (-5) + (-103) = -106


7 0
3 years ago
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