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3 years ago

Find the mean of the data set: 9 4 7 3 10 9

2 answers:

6 0

To find the mean, add up at the numbers and divide by the number of numbers in the set (6)

9 + 4 + 7 + 3 + 10 + 9 =
9 + 11 + 12 + 10
20 + 22
42

42 / 6 = 7

the mean is 7.

Olenka [21]3 years ago

4 0

Salutations!

Find the mean of the data set: 9 4 7 3 10 9

Mean means average. To find the mean of the date set, you need to add up all the given numbers, then, divide the number by the following amount of numbers.

$9+4+7+3+10+9 = 42$

$42/6 = 7$

The mean of the data set is 7.

Hope I helped (:

Have a great day!

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Simplify the expression by combining like terms if possible. If not possible select already simplified. 4a^2+2a+4a^2-5

vichka [17]

So the expression is: $4 a^{2} + 2a + 4 a^{2} - 5$

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two $4 a^{2}$ . $4 a^{2} + 4 a^{2} = 8 a^{2}$ The other terms can't be combined.

Your final answer should be $8 a^{2} +2a-5$ .

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3 years ago

There are 42 students in an elementary statistics class. On the basis of years of experience, the instructor knows that the time

harkovskaia [24]

Answer:

A) 0.99413

B) 0.00022

Step-by-step explanation:

A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:

Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes

Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:

μ = n*μ_s ample = 42 × 5 = 210 minutes

While the standard deviation for the population would be:

σ = √nσ_sample = √(42 × 6) = 15.8745 minutes

To find the z-score, we will use the formula;

z = (x - μ)/σ

Thus;

z = (250 - 210)/15.8745

z = 2.52

From the z-distribution table attached, we have;

P(Z < 2.52) ≈ 0.99413

B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

z = (260 - 210)/15.8745

z = 3.15

P(Z > 3.15) = 0.00022

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3 years ago

Use elimination to solve the system of equations:

zhenek [66]

4
x
+
y
−
2
z
=
0
4
x
+
y
-
2
z
=
0
,
2
x
−
3
y
+
3
z
=
9
2
x
-
3
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,
−
6
x
−
2
y
+
z
=
0
-
6
x
-
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y
+
z
=
0
x
+
2
y
=
4
x
+
2
y
=
4
,
2
x
+
4
y
=
8
2
x
+
4
y
=
8
3
x
+
y
=
4
3
x
+
y
=
4
,
6
x
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=
2

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3 years ago

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3 years ago

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3 years ago

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