Given a polyhedron with 12 faces and 30 edges, how many vertices does it have?

Sonja [21]

Answer:

GJK

Step-by-step explanation:

An inscribed angle is an angle formed by two line segments in a circle that intersect on the circle. The line segments must touch the circle at two points The angle must be on the circle itself.

GIH is not inscribed because I is in the center of the circle not on the circle

GJK is an inscribed angle GJ and JK touch the circle at two point and are inside the circle.

IGJ IG does not touch the circle at two points

JKL KL is outside the circle

8 0

3 years ago

Read 2 more answers

Choose an equivalent expression for 123 • 129 • 124 • 122.<br> 124<br> 1218<br> 1235<br> 12216

mihalych1998 [28]

Question:

Choose an equivalent expression for 12^3 • 12^9 • 12^4 • 12^2

A. 12^4 B. 12^18 C. 12^35 D. 12^216

Answer:

$12^{18}$

Step-by-step explanation:

Given

$12^3 . 12^9 . 12^4 . 12^2$

Required

Determine the equivalent

Applying law of indices, we have:

$12^{3 + 9 + 4 + 2}$

$12^{18}$

Hence:

$12^3 . 12^9 . 12^4 . 12^2 = 12^{18$

3 0

4 years ago

Find the probability of picking 3 consonants and 2 vowels when 5 letters are picked (without replacement) from a set of alphabet

schepotkina [342]

Step-by-step explanation:

picking 3 consonants and 2 vowels when 5 letters are picked (without replacement) from a set of alphabet tiles.

There are 26 letters in alphabet

number of consonants = 21 and number of vowels = 5

We need to pick 3 consonants from 21 consonants

Probability of picking 1 consonant from 26 alphabets = 21/ 26

after picking 1 consonant then number of consonant becomes 20

Probability of picking second consonant from 25 alphabets = 20/ 25

Probability of picking third consonant from 24 alphabets = 19/ 24

We need to pick 2 vowels from 5 vowels

Probability of picking 1 vowel from remaining 23 alphabets = 5/ 23

Probability of picking second vowel from remaining 22 alphabets = 4/ 22

Now multiply all the probabilities

$\frac{21}{26} *\frac{20}{25} *\frac{19}{24} *\frac{5}{23} *\frac{4}{22}$

= 0.02022

6 0

4 years ago

Determine whether the value is a discrete random variable, continuous random variable, or not a random variable. a. The number

AveGali [126]

Answer:

a) it is a discrete random variable

b) It is a continuous random variable

c) It is not a random variable

d) It is a discrete random variable

e) It is a discrete random variable

f) It is a continuous random variable

Step-by-step explanation:

Explanation,

Continuous Random Variable

A continuous variable is one that can take on an uncountable set of values.

It may take any values within an interval.

It can take infinite values within an interval.

They are obtained by measuring rather than counting.

Discrete Random Variable

These can only take a discrete value and cannot be expressed in the form of decimals.

They are obtained by counting rather than measuring.

a). it is a discrete random variable ⇒ as a number of people is a discrete count, which takes values such as 0 or 1 or 2.

b). The exact time it takes to evaluate 27+72 ⇒ Since, Time is measured and thus it is a continuous random variable.

c). The gender of college students ⇒ Gender is categorical data. It is neither continuous nor discrete.

d). The number of hits to a website in a day ⇒ Since the number of people cannot be expressed as decimals, thus it is a discrete random variable

e). The number of bald eagles in a country ⇒ Since the number of people cannot be expressed as decimals, thus it is a discrete random variable

f). The distance a baseball travels in the air after being hit ⇒ Distance is measured and thus it is a continuous random variable.

8 0

3 years ago

Determine the Type I error if the null hypothesis, H0, is: an electrician claims that no more than 10% of homes in the city are

kap26 [50]

Answer : There are no more than 10% of homes in the city are not up to the current electric codes but actually we do not have evidence to accept it.

Explanation:

The Type I error occurs when the null hypothesis is true but we reject it.

Given null hypothesis : $H_0$ : an electrician claims that no more than 10% of homes in the city are not up to the current electric codes.

The Type I error for the given situation is that there are no more than 10% of homes in the city are not up to the current electric codes but actually we do not have evidence to accept it.

3 0

3 years ago