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List the following elements in proper set notation. Place the elements in numerical order within the set. 0, 1, 123, 4, 34

forsale [732]

Answer:

{0, 1, 4, 34, 123}

Step-by-step explanation:

{0, 1, 4, 34, 123}

8 0

3 years ago

A square fits exactly inside a circle with each vertices being on the circumference of the circle. The square has a side length

GarryVolchara [31]

Answer:

Therefore,

The value of x is 5.97 cm.

Step-by-step explanation:

Given:

Let the length of side of Square be "x" cm'.

Radius of Circle be "r"

Area of Circle = 56 cm squared

pi = 3.14

To Find:

x = ?

Solution:

We know Area of Circle is given by,

$\textrm{Area of Circle}=\pi r^{2}$

Substituting the values we get

$56=3.14\times r^{2}\\r^{2}=17.83\\Square\ Rooting\\r=\sqrt{17.83}=4.22\ cm$

We have, a square fits exactly inside a circle with each vertices being on the circumference of the circle,

Vertex Angle of a Square is 90°.

In a Circle Diameter Subtends a Right angle,

So it's Diagonal will be the Diameter,

$Diagonal =Diameter$

$Diameter=2\times Radius$

Substituting the values we get

$Diameter=2\times 4.22=8.44\ cm$

Therefore,

$Diagonal = 8.44\ cm$

Also we know that,

Length of Diagonal of a Square for side "x" is given by,

$Diagonal=\sqrt{2}\times x$

Substituting the values we get

$x=\dfrac{8.44}{\sqrt{2}}=5.967\approx 5.97\ cm$

Therefore,

The value of x is 5.97 cm.

3 0

4 years ago

A- 13<br> B- 26 <br> C- 52<br> D- there is not enough information

NISA [10]

The answer is A, 13. Since we know line DB is a median (the middle), it tells us that line BC must equal line AB. Simply just do 26/2.

6 0

3 years ago

A statistics instructor who teaches a lecture section of 160 students wants to determine whether students have more difficulty w

Leona [35]

Answer:

There is no evidence that there is no significant difference between the sample means

Step-by-step explanation:

given that a statistics instructor who teaches a lecture section of 160 students wants to determine whether students have more difficulty with one-tailed hypothesis tests or with two-tailed hypothesis tests. On the next exam, 80 of the students, chosen at random, get a version of the exam with a 10-point question that requires a one-tailed test. The other 80 students get a question that is identical except that it requires a two-tailed test. The one-tailed students average 7.81 points, and their standard deviation is 1.06 points

The two-tailed students average 7.64 points, and their standard deviation is 1.33 points.

Group One tailed X Two tailed Y

Mean 7.8100 7.6400

SD 1.0600 1.3300

SEM 0.1185 0.1487

N 80 80

$H_0:\bar x=\bar y\\H_a: \bar x \neq \bar y$

(Two tailed test)

The mean of One tailed X minus Two tailed Y equals 0.1700

t = 0.8940

df = 158

p value =0.3727

p is greater than alpha 0.05

There is no evidence that there is no significant difference between the sample means

3 0

3 years ago

Evaluate n^3 + 12 when n=2

FrozenT [24]

Answer:

20

Step-by-step explanation:

2^3=8

8+12=20

I hope this helps.

5 0

3 years ago