If x=16-4y then in your other equation 3x+4y=8 you can put that where x is to get:
3(16-4y)+4y=8
Then multiply brackets to get:
48-12y+4y=8
Simplify:
48-8y=8
Rearrange:
40=8y
Divide through by 8:
y=5
Then put y=5 back into x=16-4y to get x:
x=16-4(5)
x=16-20
x=-4
Answer:
your answer would be 520
Step-by-step explanation:
13 x 40 = 520
Answer:
- Using conditional probabilities it can be shown that the results are influenced by the gender.
Explanation:
To prove that the results are influenced by <em>gender</em> you can calculate both the probability of preferring hot dogs and the conditional probability of preferring a hot dog given that is a female.
If the two results are different the probability of preferring hot dog is dependent on whether the person is a female or a male.
The probability of preferring hot dogs given that is a female is stated by the problem: 34.2%.
The probability of preferring hot dogs by the whole sample is:
- Number of males that prefer hot dogs: 184 (stated by the problem)
- Number of females that prefer hot dogs:
100% - 34.2% = 65.8%
65.8% of 635 = 0.658 × 635 = 417.83 ≈ 418
- Samples size: 542 males + 635 females = 1177
- Probability of preferring hot dogs =
number of students that preffer hot dogs / number of students =
(184 + 418) / 1177 = 602 / 1177 = 0.5115 ≈ 51.2%
Thus, the probability of preferring hot dogs given that the student is a female (34.2%) is different from the probability of preferring hot dog for the whole sample, making the results dependent of the gender.
For the shaded bit all you need to do is 8.5 × 6.
if you are to get the other bit then do 8.5 × 8
if it is to be both then just do that and add them together
