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Aleks [24]
3 years ago
14

A survey of 225 students showed the mean number of hours spent studying per week was 20.6 and the standard deviations was 2.7

Mathematics
2 answers:
Step2247 [10]3 years ago
6 0

Answer:

.3 is the answer.

Step-by-step explanation:

LekaFEV [45]3 years ago
5 0

Answer:

The margin of error is approximately 0.3

Step-by-step explanation:

The following information has been provided;

The sample size, n =225 students

The sample mean number of hours spent studying per week = 20.6

The standard deviation = 2.7

The question requires us to determine the margin of error that would be associated with a 90% confidence level. In constructing confidence intervals of the population mean, the margin of error is defined as;

The product of the associated z-score and the standard error of the sample mean. The standard error of the sample mean is calculated as;

\frac{sigma}{\sqrt{n} }

where sigma is the standard deviation and n the sample size. The z-score associated with a 90% confidence level, from the given table, is 1.645.

The margin of error is thus;

1.645*\frac{2.7}{\sqrt{225}}=0.2961

Therefore, the margin of error is approximately 0.3

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4 0
4 years ago
How many square feet of outdoor carpet will need for this hole?
adoni [48]

Answer:

4 square feet

Step-by-step explanation:

We can see that the dimensions of the hole in the carpet are 2ft by  2ft. All we have to do is find the area of that shape. Since the two side lengths are the same, and the shape appears to have 4 right angles in each of its corners, we can deduce that the shape is a square. We know that the area of a square can be found by multiplying the length and width measurements of the shape:

2ft * 2ft

= 4 ft²

6 0
3 years ago
Read 2 more answers
Point E has coordinates (-11, 7), and point F has coordinates (-5, 1). To the nearest unit, what is the distance between the two
Zigmanuir [339]

Answer:

8 units

Step-by-step explanation:

We can use the distance formula. Recall the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Let (-11,7) be x_1 and y_1, and (-5,1) be x_2 and y_2

Plug in the numbers:

d=\sqrt{(-5-(-11))^2+(1-7)^2

d=\sqrt{6^2+(-6)^2}

d=\sqrt{36+36}=\sqrt{72}=6\sqrt2\approx8

4 0
4 years ago
A package of cookies contains 6 cookies. Each package of cookies costs $1.49.​ A function, f(x), is written to represent the cos
Ronch [10]
You define a function f(x) which gives the cost of buying x packages of cookies. You are asked for the domain of the function. That is, what values can x take on? x is the number of packages bought.

It makes no sense to buy a negative number of packages. It also makes no sense to buy 1/2 a package or 3/4 of a package as the store won’t sell you a fraction of a package. Try going to the store and buying half a package of oreo cookies. I doubt you’ll get very far :)

So it makes sense to buy 0, 1, 2, 3, 4, ... boxes of cookies. These are whole numbers. So the domain is the set of whole numbers. You could also write the domain like this {0, 1, 2, 3, ...} making sure to use the curly brackets as those denote a set. 



4 0
3 years ago
The temperature was less than -15°C. Write an equality and three possible solution.​
Dmitry_Shevchenko [17]

Answer:

x < -15*C (I can’t make the degrees sign on my iPad, so I put * instead).

3 Possible Answers:

-38*C

-26*C

-57*C

Step-by-step explanation:

Inequality:

x = temperature

< = less than

-15*C = the amount the temperature was less than

3 Possible Outcomes:

Because the temperature is less than -15*C, it can literally be any number that is farther down the number line. Because it’s a negative number, anything like -14, -13, -12, and so on would actually have a greater value (think of it as in being less in debtm or in this case, less below zero). Instead, you’ll do any number like -16, -17, -18, and so on. You can even do a decimal number, like -19.5. I hope this makes sense to you!

4 0
3 years ago
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