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oksano4ka [1.4K]
2 years ago
11

Question

Mathematics
1 answer:
balandron [24]2 years ago
8 0

Answer:

The approximate percentage of SAT scores that are less than 865 is 16%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1060, standard deviation of 195.

Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.

865 = 1060 - 195

So 865 is one standard deviation below the mean.

Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So

The approximate percentage of SAT scores that are less than 865 is 16%.

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Find the measure of an angle whose complement is five times its measure.
ch4aika [34]

Answer:

The measure of the unknown angle is 15°.

Step-by-step explanation:

Represent this angle by A.  Then the complement of A is 90° - A.

"Angle whose complement is five times its measure" would be expressed as

90° - A = 5A

Solve this for A by adding A to both sides:

90° = 6A.  Then A = 90°/6, or 15°

4 0
2 years ago
Annie needs $30 to buy a coat. She has saved $12 and plans to work as a babysitter to earn $6 per hour. Which inequality shows t
algol [13]
Annie's total earnings from her initial savings, $12, and from babysitting should be equal or more than 30. Annie's total earnings from babysitting may be expressed as $6n. The inequality should be,
 
                                           12 + 6n <span>≥ 30

Solving for x,
                                             6n </span><span>≥ 30 - 12
</span><span>
                                        6n </span>≥ 18    ;     n <span>≥ 3
</span><span>
Thus, the answer is the second among the choices. 

</span>
6 0
3 years ago
Read 2 more answers
Which is a counterexample for the conditional statement shown?
Arte-miy333 [17]

Answer: First Option

<em>The points have the same x-coordinate value.</em>

Step-by-step explanation:

By definition, a relation is considered a function if and only if for each input value x there exists <u><em>only one </em></u>output value y.

So, the only way that the line that connects two points in the coordinate plane is not a function, is that these two points have the same coordinate for x.

For example, suppose you have the points (2, 5) and (2, 8) and draw a line that connects these two points.

The line will be parallel to the y axis.

Note that the value of x is the same x = 2. But when x = 2 then y = 5 and y = 8.

There <u><em>are two output</em></u><em> </em>values (y = 8, y = 5) for the same input value x = 2.

In fact all the vertical lines parallel to the y-axis have infinite output values "y" for a single input value x. Therefore, they can not be defined as a function.

<u>Then the correct option is: </u>

<em>The points have the same x-coordinate value.</em>

7 0
3 years ago
Use the Pythagorean Theorem to find the measure of the space diagonal line in the box
madreJ [45]

Answer:

14.42inches

Step-by-step explanation:

Given the following

b = 5 in

c = 8in

we are to find the measure of the space diagonal line

Using the pythagoras theoreml

l^2 = b^2 + c^2

l^2 = 13^2 - 5^2

l^2 = 169 -25

l^2 = 144

l = 12in

To get the measure of the space diagonal line in the box, we will use the pythagoras theorem;

s^2 = l^2 + c^2

s^2 = 144 + 8^2

s^2 = 144 + 64

s^2 = 208

s= 14.42inches

Hence the required length ix 14.42inches

3 0
2 years ago
If a represents the hypotenuse of this right triangle, which equation could you use to find the value of a?
Nitella [24]
The answer is D because they are both legs and you are looking for the hypotenuse
4 0
2 years ago
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