Multiply both sides of the equation by 12
Answer:
Step-by-step explanation:
given that we have an urn with m green balls and n yellow balls. Two balls are drawn at random.
a) Assume that the balls are sampled without replacement.
m green and n yellow balls
For 2 balls to be drawn at the same colour
no of ways = either 2 green or 2 blue = mC2+nC2
Total no of ways = (m+n)C2
Prob =
=
=
B) Assume that the balls are sampled with replacement
In this case, probability for any draw for yellow or green will be constant as
n/M+n or m/m+n respectively
Reqd prob =
=
c) Part B prob will be more than part a because with replacement prob is more than without replacement.
II time drawing same colour changes to m-1/.(m+n-1) if with replacement but same as m/(m+n) without replacement
Since n>0 is true always, b is greater than a.
Answer:
39 acute isoceleleellsllelsls
Step-by-step explanation:
The angles of triangle always add to 180 degrees. So that angle on the bottom already takes up 102 so 180-102=78 and there are 2 angles left so both of those are 39 because 78/2=39 and 39 is an acute angle since its less than 90 degrees so ya
Answer:
The cost of
A small bucket = x = $8
A Larger bucket = y = $13
Step-by-step explanation:
Let the cost of
A small bucket = x
A Larger bucket = y
Kim sold 3 small buckets and 14 large buckets of popcorn for a total of $206.
3x + 14y = 206... Equation 1
Melody sold 11 small buckets and 11 large buckets of popcorn for a total of $231.
11x + 11y = 231.... Equation 2
What is the cost for a small bucket and a large bucket of popcorn?
3x + 14y = 206... Equation 1
11x + 11y = 231 ....... Equation 2
We solve using Elimination method
Multiply Equation 1 by 11 and Equation 2 by 3 to Eliminate x
33x + 154y = 2266.... Equation 3
33x + 33y = 693....... Equation 4
We subtract Equation 4 from Equation 3
121y = 1573
y = 1573/121
y = $13
Solving for x
3x + 14y = 206... Equation 1
3x + 14 × 13 = 206
3x + 182 = 206
3x = 206 - 182
3x = 24
x = 24/3
x = $8
Hence, the cost of
A small bucket = x = $8
A Larger bucket = y = $13
Answer:
- rational
- irrational
- irrational
- irrational
- √7, it is irrational
Step-by-step explanation:
A <em>rational</em> number is one that can be expressed as the ratio of two integers. All fractions that have integer numerators and (non-zero) denominators are <em>rational</em> numbers. Any finite decimal number, or any repeating decimal number, is a rational number. These can always be expressed as the ratio of two integers. For example, 0.4040... = 40/99, and 0.286 = 286/1000.
To make an irrational sum, at least one of the contributors must be irrational. You want an irrational 2-number sum that has 7/8 as one of the contributors. Since 7/8 is rational, the other contributor must be irrational.
__
<u>Step 1</u>. The number 7/8 is <em>rational</em>.
<u>Step 2</u>. The desired sum is <em>irrational</em>.
<u>Step 3</u>. The rule <em>rational + </em><em>irrational</em><em> = irrational</em> applies.
<u>Step 4</u>. An <em>irrational</em> number must be chosen.
Step 5. √7 will produce an irrational sum, because <em>it is irrational</em>.