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Serggg [28]
2 years ago
5

An SRS of ten brands of breakfast cereals is tested for the number of calories per serving. The following data result: 185, 190,

195, 200, 205, 205, 210, 210, 225, 230. Find a 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals.
Mathematics
1 answer:
Pepsi [2]2 years ago
8 0

Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm t\frac{s}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • t is the critical value.
  • n is the sample size.
  • s is the standard deviation for the sample.

From the sample and the significance level of 0.05, we have that the parameters are given by:

\overline{x} = 205.5, s = 14.2, n = 10, t = 2.2622

Hence:

\overline{x} - t\frac{s}{\sqrt{n}} = 205.5 - 2.2622\frac{14.2}{\sqrt{10}} = 195.3

\overline{x} + t\frac{s}{\sqrt{n}} = 205.5 + 2.2622\frac{14.2}{\sqrt{10}} = 215.7

The 95% confidence interval estimate for the mean number of calories for servings of breakfast cereals is (195.3, 215.7).

More can be learned about the t-distribution at brainly.com/question/16162795

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Tom [10]

Answer:

$5

Explanation:

Since Jerry walked the dog from 6:40am to 7:30am, the total minutes that he walked the dog was 50 minutes. Also a note, an hour is 60 minutes.


Since he is paid at a rate of $6 per 60 minutes, we can make a proportion.

   660=x50


From here, you have to solve for x. So cross multiply, and then simplify.

   60x=50⋅6

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   60x60=50⋅6/60

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So the answer is $5.

3 0
3 years ago
Read 2 more answers
The endpoint of a line segment is (-9, 7). The midpoint of the segment is (10, -3). Find the other endpoint. *show work*
slavikrds [6]
First we will find the x coordinate.

x1+x2 / 2 = the x coordinate of the midpoint.

-9 + x2 / 2 = 10
x2/2 -4.5 = 10
x2/2 = 14.5
x2 = 29

Now the y coordinate:

y1+y2 /2 = y coordinate of the midpoint

7 + y2 / 2 = -3
y2/2 + 3.5 = -3
y2/2 = -6.5
y2 = -13

So the other endpoint is (29,-13)

I hope i am right :)

8 0
3 years ago
A number decreased by the total of the number and fourteen
Charra [1.4K]

The answer to this would be x-(x+14)

Here's an explanation:

Let x represent the unknown number. The problem says that x has been decreased by the sum of x and 14. So, to put this in a form of an equation, it would be x-(x+14), since you have to do the addition first before you can subtract the two number since you don't know what x is. This equation is equal to -14 no matter what x is.

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What is the slope of the line that goes through the points (2,-1) and (6,1)
drek231 [11]

Answer: The slope is \frac{1}{2}.

Step-by-step explanation:

1. You set up your Slope Formula M=\frac{y2-y1}{x2-x1}.

2. Substitue your points into the formula.M=\frac{1--1}{6-2}.

3. Once you substitute, you will solve the equationM=\frac{2}{4}.

4. Simplify the equation if you have to M=\frac{1}{2\\}.

7 0
3 years ago
What is the value of x<br><br> Triangle with sides 10 6 x-6
Grace [21]
Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
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100=x^2-12x+72
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factoring the above we get:
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hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14
5 0
3 years ago
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