Answer:
(- 3.5, - 5.5 )
Step-by-step explanation:
Given the 2 equations
y = x - 2 → (1)
y = 3x + 5 → (2)
Substitute y = 3x + 5 into (1)
3x + 5 = x - 2 ( subtract x from both sides )
2x + 5 = - 2 ( subtract 5 from both sides )
2x = - 7 ( divide both sides by 2 )
x = - 3.5
Substitute x = - 3.5 into either of the 2 equations and evaluate for y
Substituting into (1)
y = - 3.5 - 2 = - 5.5
Solution is (- 3.5, - 5.5 )
The number of favorable outcomes is the the number of the outcome she wants. She wants a silver car. In her table, 36 cars are silver.
a. 36
The total number of trials is the sum of the all numbers of cars.
12 + 9 + 32 + 42 + 36 + 1
b. 132
The experimental probability of an event is the number of desired outcomes divided by the total number of outcomes.
c. p(silver car) = 36/132 = 3/11
d.
An event takes place, and there are only two possible outcomes.
If the probability of one event happening is x, then the probability of the other event happening is 1 - x.
Think of this situation as only two possible outcomes.
Either a silver car passes or a non-silver car passes.
The probability of a silver car passing is 3/11.
Then the probability of a non-silver car passing is 1 - 3/11.
1 - 3/11 = 11/11 - 3/11 = 8/11
Answer:
Hence the confidence interval is ( 0.6745, 0.7422).
Step-by-step explanation:
Now the given are
Sample size = n = 1200
x = 850
Sample proportion is
We have to construct 99% confidence interval for the population proportion.
Formula Used:
Here E is a margin of error.
Zc = 2.58
So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)
= ( 0.6745 , 0.7422).
Answer: 42.9%
Step-by-step explanation:
The percentage increase of the fat content will be calculated as:
= Fat increase / Previous fat content × 100
= (30 - 21) / 21 × 100.
= 9/21 × 100
= 42.9%
Answer:
17/18
Step-by-step explanation:
2 1/9=19/9
19/9-7/6
17/18
