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4 years ago

Which of the following are true statements?

Mathematics

1 answer:

Alika [10]4 years ago

3 0

Answer:

I and II.

Step-by-step explanation:

Dot plots are charts that represent data points on a simple scale using filled circles. Stemplots allow plotting data by dividing it into stems (largest digit) and leaves (smallest digits). Both dot plots and stemplots are like histograms since they allow to compare data relating to only one variable, and are used for continuous, quantitive data, highlighting gaps, clusters, and outliers.

Histograms use bars to represents amounts, with no space between the bars and the height of the bars is proportional to the frequency or relative frequency of the represented amount. We refer to the relative frequency of a case when this frequency is divided by the sum of all frequencies of the cases. The proportionality between the height of the bar and the frequency is right when the width (interval) of the bar is the same for everyone, on the contrary, the area of the bar would be proportional to the frequency of cases.

Therefore, of all the above, the correct statements are I and II. Statement III is incorrect because relative heights are proportional to relative frequencies.

I hope it helps you!

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4 years ago

The volume of a sphere is a function of its radius, V=4/3 πr^3 Evaluate the function for the volume of a volleyball with radius

il63 [147K]

The volume of a volleyball with radius 11.1 cm is 5731.025 cubic centimeter

<h3>Solution:</h3>

Given that volume of a sphere is a function of its radius

$V=\frac{4}{3} \pi r^{3}$

Radius = 11.1 cm

To find: volume of a volleyball

Since volleyball is generally of spherical shape, we can use volume of sphere formula

$\text {volume of sphere }=\frac{4}{3} \pi r^{3}$

Where "r" is the radius of sphere and $\pi$ is a constant which has value 3.14

Substituting the given radius r = 11.1 cm

$\text {volume of sphere }=\frac{4}{3} \times \frac{22}{7} \times 11.1^{3}$

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3 years ago

Based on only the information given in the diagram, which congruence postulates or theorems can be given as reasons why triangle

Lapatulllka [165]

Let's go through the choices.

A. HL, hypotenuse-leg. Yes we have a right triangle with congruent hypotenuse and leg which gives us congruent triangles, CHECK

B. HA, hypotenuse actute. Yes we have a right triangle witha congruent hypotenuse and acute angle, so congruent triangles, CHECK.

C. LL. leg leg. We don't know HL=PE so we can't use this theorem here. NO.

D. SAS, side angle side. For this one we first have to prove angle HEL is congruent to angle PME which is easily done with the Triangle Angle theorem (two congruent angles means three congruent angles) and then we can use SAS because then we have congruent sides and a congruent included angle. This one's a judgement call, I'll say NO because of the two steps.

E. AAS. Angle Angle Side, yes we have two congruent angles and a side. CHECK

F. ASA. Again we need an additional step before we conclude two angles and an included side are congruent. So again a judgement call, we'll go with NO.

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