6.
Intersecting chords:
RT x ST = PT x TQ
2 x 6 = 3 x TQ
12 = 3TQ
TQ = 12/3
TQ = 4
7.
AD = 90 -BE = 90-18 = 72
ADE = 180. DE = 180 - AD = 180-72 = 108
AE = 180. AB = 180-18 = 162
DE = 108
BD = BE +DE = 18 + 108 = 126
DAB = 72 + 162 = 234
ADE = 90 degrees
8.
AB^2 = BC* (BC +x)
8^2 = 2 * (2 +x)
64 = 4 + 2x
60 = 2x
X = 60/2
X = 30
Scientific notation uses expression which gives easy access of order. The greatest number is
.It is greater by smallest number by 500 times.
<h3>How to convert a number to scientific notation?</h3>
It is usually of the form
exponent of 10 starts)
(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)
This notation is used to get some idea of how large or small a number is in terms of power of 10.
<h3>What are some basic properties of exponentiation?</h3>
If we have
base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).
Exponentiation(the process of raising some number to some power) have some basic rules as:
![a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}](https://tex.z-dn.net/?f=a%5E%7B-b%7D%20%3D%20%5Cdfrac%7B1%7D%7Ba%5Eb%7D%5C%5C%5C%5Ca%5E0%20%3D%201%20%28a%20%5Cneq%200%29%5C%5C%5C%5Ca%5E1%20%3D%20a%5C%5C%5C%5C%28a%5Eb%29%5Ec%20%3D%20a%5E%7Bb%20%5Ctimes%20c%7D%5C%5C%20a%5Eb%20%5Ctimes%20a%5Ec%20%3D%20a%5E%7Bb%2Bc%7D)
The given numbers are:
- First number =
![6.5 \times 10^3 = 6500](https://tex.z-dn.net/?f=6.5%20%5Ctimes%2010%5E3%20%3D%206500)
- Second number =
![5.5 \times 10^5 = 550000](https://tex.z-dn.net/?f=5.5%20%5Ctimes%2010%5E5%20%3D%20550000)
- Third number =
![1.1 \times 10^3 = 1100](https://tex.z-dn.net/?f=1.1%20%5Ctimes%2010%5E3%20%3D%201100)
The smallest number is 1,100 and greatest is 550,000
Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:
![\dfrac{5.5 \times 10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500](https://tex.z-dn.net/?f=%5Cdfrac%7B5.5%20%5Ctimes%20%2010%5E5%7D%7B1.1%20%5Ctimes%2010%5E3%7D%20%3D%20%5Cdfrac%7B5.5%20%5Ctimes%2010%5E%7B5-3%7D%7D%7B1.1%7D%20%3D%20%5Cdfrac%7B5.5%7D%7B1.1%7D%20%5Ctimes%2010%5E2%20%3D%205%20%5Ctimes%2010%5E2%20%3D%20500)
Thus, it is found that greatest number is
. It is greater by smallest number by 500 times.
Learn more about scientific notation here:
brainly.com/question/3112062
Answer:
-4x-1
Step-by-step explanation:
Answer:
a. The sum of the first 100 odd positive integers - Not a statement
b. Everybody needs somebody sometime - Atomic statement
c. The Broncos will win the Super Bowl or I'll eat my hat - Molecular statement (disjunction)
d. We can have donuts for dinner, but only if it rains - Molecular statement (conditional)
e. Every natural number greater than 1 is either prime or composite - Atomic statement
f. This sentence is false - Not a statement
Step-by-step explanation:
A statement in mathematics can be said to be any declarative statement that can either be true or false. While a sentence is considered to not be a statement if
Statements are divided into 2:
- Atomic statements: These are statements that cannot be split into mini statements.
- Molecular statements: These are the opposites of atomic statements. They are statements that cannot be spilt. This can further be divided into; conjunction, disjunction, conditional, bi-conditional and negation
Answer:
The standard error of the mean = 2
Step-by-step explanation:
Given that:
The standard deviation σ = 14
The sample size n = 49
The sample mean
= 56
The formula for calculating the standard error can be expressed as:
![S.E = \dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=S.E%20%3D%20%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![S.E = \dfrac{14}{\sqrt{49}}](https://tex.z-dn.net/?f=S.E%20%3D%20%5Cdfrac%7B14%7D%7B%5Csqrt%7B49%7D%7D)
![S.E = \dfrac{14}{7}](https://tex.z-dn.net/?f=S.E%20%3D%20%5Cdfrac%7B14%7D%7B7%7D)
S.E = 2
Therefore, the standard error of the mean = 2