Answer:
*I just learned that in probability if a question has 'and' it means you multiply and if it has 'or' it means you add*
1a) 1/6
There are two numbers greater than four (5 and 6). There are 6 possible numbers you can get, so the fraction would be 2/6, or simplified would be <u>1/3</u>. There are two options you can get when flipping a coin, so the chance of getting a head is <u>1/2</u>. This is an 'and' problem so multiply 1/3•1/2 and you get 1/6.
1b) 1/4
There are 3 even numbers (2, 4, and 6), so the probability would be 3/6 or simplified to <u>1/2</u>. The chance of landing on a tail is also <u>1/2</u>, as there are two possible options. This is an 'and' problem so multiply 1/2•1/2 and you get 1/4.
2) 1/8
Write out your possible results: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.
3a) 1/8
There are 4 shirt options to choose from. The chance of picking blue is <u>1/4</u>. There are 2 pant options. The chance of picking black is <u>1/2</u>. This is an 'and' problem, so multiply 1/4•1/2 and you get 1/8.
3b) 1/4
There are 4 shirt options to choose from. This is an 'or' problem because he can choose an orange shirt OR a red shirt. The probability of picking an orange shirt is 1/4 and the probability of picking a red shirt is 1/4. 'Or' means you use addition so add 1/4+1/4 and you get 2/4 or simplified is <u>1/2</u>. There are 2 pant options to choose from, so the probability of choosing brown pants is 1/2. Now, this is an 'and' problem, so multiply 1/2•1/2 and you get 1/4.
What Harry and Helen will expect when their taxes are due is a refund of $555. That is option D.
<h3>Calculation of tax liability</h3>
Combined taxable income of the couple=
$65,922/week.
The amount withheld in a week = $187
The tax liability of married couple filing jointly=
$9,169.
The due tax= Total tax liability- total withheld amount.
Due tax = Total tax liability-( weekly withheld amount × number of weeks in a year)
Due tax = $9,169 - ($187× 52)
= $9,169- $9,724
= - $555
Therefore, what Harry and Helen will expect when their taxes are due is a refund of $555.
Learn more about tax liability here:
brainly.com/question/8551148
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Answer:
Step-by-step explanation:
What we know about this, or should know about this, is that the diagonals bisect each other. That means that
x = y + 2 and y + 10 = 2x - 8
Because the first equation is already solved for x, sub that value into the second equation in place of x to get:
y + 10 = 2(y + 2) - 8 and
y + 10 = 2y + 4 - 8 and
y + 10 = 2y - 4 so
y = 14.
Back sub that in to solve for x:
If x = y + 2 and y = 14, then
x = 16
Answer:
r = -9
Step-by-step explanation:
use the slope formula:
(2-0) / (r-3) = -1 /6
cross-multiply:
-1(r - 3) = 2(6)
-r + 3 = 12
-r = 9
r = -9
