Answer:
Step-by-step explanation:
<u>We know that:</u>
- ∠1 = ∠2 (Corresponding Angles)
- ∠1 = 63 - 2x
- ∠2 = 79 - 3x
<u>Solution:</u>
- 63 - 2x = 79 - 3x
- => 3x - 2x = 79 - 63
- => x = 16
Hence, the measure of x is 16.
Answer:
Y = 1/3x + 2
Step-by-step explanation:
Since the line increases by 1 unit then goes to right 3 units the line equation must have a slope of 1/3 and must have a y intercept of + 2 since the line crosses the Y axis at +2
Answer:
Step-by-step explanation:
The ratio of the number of fiction books is 9:4
the difference between the number of fiction and nonfictionn is 245
so if the number of fiction books = 9x
then the number of nonfiction books = 4x
then difference = 9x-4x = 5x
the difference is given 245
then 5x= 245
x=
=49
number of fiction books =49×9=441
number of nonfiction books =49×4=196
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#SPJ2
Step-by-step explanation:
part1
the mean value is
(87+100+94+79+92+100+95+83+89+99+100+91+89+95+100+93+96+83) / 18
= 1665 / 18 = 92.5
part2
this is the sum of the absolute value of the differences bergen the individual sites and the mean value divided by the number of data points :
(5.5+7.5+1.5+13.5+0.5+7.5+2.5+9.5+3.5+6.5+7.5+1.5+3.5+2.5+7.5+0.5+3.5+9.5)/18
= 94/18 = 5.222222222... ≈ 5.2
part3
how many scores are less than 5.2 away (plus or minus) from the mean value ? in other words, how many differences in the part2 calculation were smaller than or equal to 5.2 ?
there are 9 scores meeting that criteria :
94, 92, 95, 89, 91, 89, 95, 93, 96
Answer:
1 in 18
Step-by-step explanation:
The highest possible number Hillary can get is 12, meaning that the only odd number above 10 which she can get is 11.
There are two possible ways in which Hillary can get 11:
(a) Hillary rolls a 5 on her first cube and a 6 on her second cube
(b) Hillary rolls a 6 on her first cube and a 5 on her second cube
There are 34 other possible outcomes which Hillary can have when rolling her number cubes, for a total of 36 possible outcomes.
Since 2 of these outcomes result in a roll of 11, Hillary has a 2 in 36 chance of rolling an 11, which can be simplified as 1 in 18.
