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Gennadij [26K]
3 years ago
11

The brain volumes ​(cm cubedcm3​) of 50 brains vary from a low of 922922 cm cubedcm3 to a high of 14961496 cm cubedcm3. use the

range rule of thumb to estimate the standard deviation s and compare the result to the exact standard deviation of 161.7161.7 cm cubedcm3​, assuming the estimate is accurate if it is within 15 cm cubedcm3.
Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0
The range rule of thumb is that the range is four times the standard deviation. The range in this case is 922 cubic cm to 1496 cubic cm, i.e., 574 cubic cm.
Therefore, according to the rule, the standard deviation is 574 cubic cm/4 = 
143.5 cubic cm. The actual standard deviation is 161.7 cubic cm. The difference is 161.7 - 143.5 = 18.2. Since this is greater than 15 cubic cm, the rule in this case is not accurate.
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Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles.
miv72 [106K]

Answer:

no triangles

Step-by-step explanation:

As we know the basic rule to form a triangle is that the sum of the two sides must be greater than the third one.

Given that:

4 m, 5.1 m, 12.5 m

We have: 4 m + 5.1 m = 9.1 m < 12.5 m

So no triangles can be formed.

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3 years ago
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Chang knows one side of a triangle is 13 cm. Which set of two sides is possible for the lengths of the other two sides of this t
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Mr. Clark has a tank that holds 55,000 milliliters of gas. He poured some gas into three containers equally. There were 19,864 m
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Answer:

35,136 ml

Step-by-step explanation:

The tank holds 55,000ml. Mr. Clark poured some gas into 3 container, and at the end there the tank had 19,864. To find how much gas was poured out of the tank it is the same as asking how much gas he poured in the 3 containers, all together. We have to find the difference, subtraction:

55,000 - 19,864 = 35,136ml were poured in the 3 containers or amount of gas poured out of the tank.

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2 years ago
An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?
vampirchik [111]
<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

24.9^{\circ} and 65.1^{\circ}

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to 90^{\circ}.

Let a be the measure of the complementary angle.

If an angle is 40.2^{\circ} more than its complementary angle, the measure of that angle is a +40.2. The sum of both angles are expressed a +(a +40.2) but since the have to add to 90 as they are complementary, a +(a +40.2) = 90.

Solving for a:

a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9

Since the other angle measures a +40.2, we can plug in the value of a to find the measure of the angle.

Evaluating a +40.2:

a +40.2 \\ 24.9 +40.2 \\ 65.1

The measure of the angles are 24.9^{\circ} and 65.1^{\circ}

4 0
2 years ago
-5/12+5/8 what is the answer to this
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Answer:

5/24

Step-by-step explanation:

-5/12+5/8

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5/24

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2 years ago
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