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-Dominant- [34]
2 years ago
5

Suppose the average math SAT score for students enrolled at local community college is 490.4 with a standard deviation of 63.7.

A random sample of 49 students has been selected. The standard error of the mean for this sample is _______. 10.6 9.1 63.7 28.4 The standard deviation of X^bar (or the standard error of the sample mean) is calculated as the positive squareroot of the variance. It is computed as se(X^bar) = sigma/Squareroot n.
Mathematics
1 answer:
lakkis [162]2 years ago
8 0

Answer:

Option B) 9.1      

Step-by-step explanation:

We are given the following in the question:

Average score = 490.4

Standard deviation = 63.7

Sample size, n = 49

Formula:

=\dfrac{\sigma}{\sqrt{n}}

Putting values, we get,

Standard error =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{63.7}{\sqrt{49}} = 9.1

Thus, the correct answer is

Option B) 9.1

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If three parallel lines are cut by a transversal and one angle is measured to be 90 degrees, what can be said of the remaining?
V125BC [204]

Answer: A. There all 90 degrees


Step-by-step explanation:

Given: Three parallel lines are cut by a transversal and one angle is measured to be 90 degrees.

We know that if two lines cut by transversal the following pairs are equal:

  • Vertically opposite angles.
  • Corresponding angles.
  • Alternate interior angles.
  • Alternate exterior angles.

If one angles measures 90°, then its supplement would be 90°.

Then by using above properties , we will get measure of all angles as 90°.



8 0
3 years ago
Read 2 more answers
Which answer describes the graph of the system of equations?<br>​
Pavlova-9 [17]

Answer:

D, the lines coincide.

Step-by-step explanation:

isolate the y so theres no 2y, only y:

2y = 8 - 2x (divide both sides by 2)

y = 4 - x

The lines are the same line, so while they are plural, they also coincide, as one lies on top of the other.

Hope this helps :) Brainliest??

7 0
3 years ago
A sandwich costs 5:70 and a piece of fruit costs 2:15 if you have a 20 bill, how much change will you get ?
Gelneren [198K]
Well if you buy only 1 of each, it would cost you 7.85 in total. if you subtract that from 20, it equals 12.15.
you can also make it a linear equation if you want more or less than 1 fruit and or sandwich
s=sandwich
f=fruit
5.7f+2.15f=20
7 0
3 years ago
If the length of segment AC equals 58, what is the length of the midsegment DE
Delicious77 [7]

Answer:

B) 29

Step-by-step explanation:

Given:

AC= 58

Point D and E are the midpoints of side AB and BC Respectively.

Solution:

According to Midpoint theorem which states:

"The segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side."

\therefore DE= \frac{1}{2} AC

DE= \frac{58}{2} =29

Hence length of DE is 29.

4 0
3 years ago
Read 2 more answers
Find the coordinates of P so that P partitions AB in the ratio 3:4 with A(-9,-9) and B(5,-2).
ivolga24 [154]

The coordinates of point P are (-3 , -6)

Step-by-step explanation:

If point (x , y) partitions line AB where A = (x_{1},y_{1}) and B = (x_{2},y_{2})

at a ratio m_{1}:m_{2} from A then:

1. x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}

2. y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

∵ P partitions AB in the ratio 3 : 4

∴ m_{1}:m_{2} = 3 : 4

∵ A = (-9 , -9) and B = (5 , -2)

- Substitute the coordinates of points A and B in the rules above

∵ x=\frac{(-9)(4)+(5)(3)}{3+4}

∴ x=\frac{-36+15}{7}

∴ x=\frac{-21}{7}

∴ x = -3

The x-coordinate of P is -3

∵ y=\frac{(-9)(4)+(-2)(3)}{3+4}

∴ y=\frac{-36+(-6)}{7}

∴ y=\frac{-42}{7}

∴ y = -6

The y-coordinate of P is -6

The coordinates of point P are (-3 , -6)

Learn more:

You can learn more about the mid-point of a segment in brainly.com/question/5223123

#LearnwithBrainly

5 0
3 years ago
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