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TiliK225 [7]
2 years ago
5

6/9 is a rational number. Select all the rational numbers that are equivalent to .

Mathematics
1 answer:
Marianna [84]2 years ago
5 0

Option b) and c) is correct, i.e. 2/3 and 0.66(line over 66)7

6/9 is a rational number.
similar ration number can be given as -

<h3>What is rational number?</h3>

Rational numbers are the numbers that can be structured in the form of the fraction of integers. Eg- 5/6, 2/3 etc.

From the option, by above definition 2/3, 0.66(line over 66)7 seems to be an equivalent rational numbers because
6/9=2/3= 0.66(line over 66)7.

Thus, Rational numbers 2/3, 0.66(line over 66)7 are equivalent to 6/9.

Learn more about Rational numbers here:
brainly.com/question/17450097

#SPJ1

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1. consider a lottery with three possible outcomes: $125 will be received with probability 0.25, $100 will be received with prob
tigry1 [53]

The lottery's anticipated worth is $80.

Given that,

The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.

A) EV=125*.2+100*.3+50*.5=$80

The lottery's anticipated worth is $80.

The expected value is obtained by multiplying each result by its likelihood.

The expected value of the lottery is then calculated by adding up all of these.

This is what we have: ;;

125(0.2) + 100(0.3) + 50(0.5) (0.5)

= 25 + 30 + 25 = $80

B) This is the formula for variance is shown in figure :

So, we can calculate the variance as follows:

.2*(125-80)^2+.3*(100-80)^2+.5*(50-80)^2=975

C) A risk-neutral person would pay $80 or less to play the lottery.

To learn more about probability click here:

brainly.com/question/14210034

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4 0
1 year ago
Read 2 more answers
Need a little help with the math questions I displayed
andrew11 [14]
( xy^2/ x^-3y^3)^-4

7 0
3 years ago
Read 2 more answers
For each sentence below, find the value of x that makes each sentence true.
vitfil [10]

<u>ANSWER</u>

1. x=\frac{1}{2}


2. x=1


<u>QUESTION 1</u>

The first sentence is (5^{\frac{1}{5}})^5=25^x.


Recall that;

(a^m)^n=a^{mn}


We simplify the left hand side by applying this property to get;


5^{\frac{1}{5}\times 5}=25^x.


\Rightarrow 5^{1}=25^x.


We now rewrite the right hand side too in an index form to obtain;


\Rightarrow 5^{1}=5^{2x}

We now equate the exponents to get;

\Rightarrow 1=2x.


\Rightarrow \frac{1}{2}=x


\Rightarrow x=\frac{1}{2}.


<u>QUESTION 2</u>

The second sentence is (8^{\frac{1}{3}})^2=4^x


We simplify the left hand side first to get;

(2^{3\times \frac{1}{3}})^2=4^x


2^2=4^x


We now rewrite the left hand side too in index form to obtain;


2^2=2^{2x}

We equate the exponents to get;

2=2x


This implies that;


1=x

or

x=1

4 0
3 years ago
I need help solving this problem
Elena L [17]
Use the given values in the compound interest formula to solve for time, n.

A is the final amount of money, $2800
P is the initial or starting amount $1900
i is the interest rate as a decimal 0.025
n is time in years since it annual.

2800 = 1900(1 + 0.025)^n

2800 = 1900(1.025)^n

2800/1900 = (1.025)^n

28/19 = (1.025)^n

take the natural log of both sides to solve for exponent.

ln(28/19) = ln(1.025^n)

power rule of logarithmic moves exponent

ln(28/19) = n*ln(1.025)

ln(28/19) / ln(1.025) = n

put into a calculator

15.7 years = n
4 0
3 years ago
Philip walked a total of 8 kilometers by making 2 trips to school. After 3 trips to school, how many kilometers will Philip have
vekshin1
So one trip = 4 km
two trips = 8
8 + 4 = 12
i believe your answer is 12
Thanks!
7 0
3 years ago
Read 2 more answers
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