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Thepotemich [5.8K]
3 years ago
15

Response for 150 individuals is as given below and we are interested in determining whether or not the opinions of the individua

ls are uniformly distributed.
Do you support capital punishment? Number of individuals:
Yes 40, NO 60, No Opinion 50
The number of degrees of freedom associated with this problem is:
a. 3
b. 2
c. 149
d. 150
Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0

Answer:

the answer to this question is :

B) 2

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Answer:

[-3, 3]

Step-by-step explanation:

The range of <em>y = sin x</em> is the interval [-1, 1].

When you multiply the function by -3, you invert the function (symmetry with respect to the x-axis) and stretch is by a factor of 3 vertically.

The range now is [-3, 3]

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What is 19 1/2% of 62?
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Answer:

12.09

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In the pulley system shown in this figure, MQ = 30 mm, NP = 10 mm, and QP = 21 mm. Find MN.
ankoles [38]
<h2>Answer:</h2>

\boxed{\overline{MN}=37.96}

<h2>Step-by-step explanation:</h2>

For a better understanding of this problem, see the figure below. Our goal is to find \overline{MN}. Since:

\angle MRS=\angle MQP=90^{\circ} \\ \\ \overline{MQ}=\overline{MR}=30mm

and \overline{MN} is a common side both for ΔMRN and ΔMQN, then by SAS postulate, these two triangles are congruent and:

\overline{RN}=\overline{QN}

By Pythagorean theorem, for triangle NQP:

\overline{QN}=\sqrt{\overline{NP}^2+\overline{QP}^2} \\ \\ \overline{QN}=\sqrt{10^2+21^2} \\ \\ \overline{QN}=\sqrt{541}

Applying Pythagorean theorem again, but for triangle MQN:

\overline{MN}=\sqrt{\overline{MQ}^2+\overline{QN}^2} \\ \\ \overline{MN}=\sqrt{30^2+(\sqrt{541})^2} \\ \\ \boxed{\overline{MN}=37.96}

3 0
3 years ago
What are the measures of each interior and exterior angles of regular quadrilateral MNOP?
stiks02 [169]

Answer:

A regular polygon is a polygon that is equilateral and equiangular.

The only regular quadrilateral is the square.

We know that all the interior angles of a square are 90° each, so we are fine with that.

Now, for the exterior angles.

If we fix our position in the vertex, we can do from one side, to the same side, a full rotation of 360°.

Now, if we only do an external rotation, this means, from one side to other side, we will do a rotation of 360° minus the interior angle:

this is:

360° - 90° = 270°

Below is an image as a guide of this.

8 0
3 years ago
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