The slope is the change in Y over the change inX: Using the two points given: (3,9) and (1,3)
The slope is (9-3) / (3-1)
Slope = 6 / 2
Slope = 3
The answer is A.
Answer:
46. <u>(3) 29</u>
47. <u>(1) y = -4x + 3</u>
48. <u>(3) 3</u>
49. <u>(3) -1/2</u>
50. <u>(4) 25x - 75</u>
Step-by-step explanation:
<u>Question 46</u>
- Let red marbles be 2x + 3 and black marbles be x
- 2x + 3 + x = 42
- 3x = 39
- x = 13
- No. of red = 2(13) + 3 = 29 marbles
- <u>(3) 29</u>
<u></u>
<u>Question 47</u>
- Parallel to a line means the slope is the same
- <u>(1) y = -4x + 3</u>
<u></u>
<u>Question 48</u>
- For the expression to be undefined, the denominator has to be 0
- x - 3 = 0
- x = 3
- <u>(3) 3</u>
<u></u>
<u>Question 49</u>
- Slope = -4 - 1 / 4 + 6
- Slope = -5/10
- Slope = -1/2
- <u>(3) -1/2</u>
<u></u>
<u>Question 50</u>
- Total = 25x
- Left 3 boxes at home = -3x = -3(25) = -75
- <u>(4) 25x - 75</u>
Answer:
5.48% of the people in line waited for more than 28 minutes
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean waiting time of 20 minutes with a standard deviation of 5 minutes.
This means that 
What percentage of the people in line waited for more than 28 minutes?
The proportion is 1 subtracted by the p-value of Z when X = 28. So
has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
As a percentage:
0.0548*100% = 5.48%
5.48% of the people in line waited for more than 28 minutes
Answer:
Drink=5.75
Popcorn=1.83
Percentage for drink=75.9%
Step-by-step explanation
Let the popcorn be p
the drinks be d
6p+4d=34....(1)
12p+7d=66.25...(2)
Multiply (1) by 2
12p+8d=72....(3)
Substrate (2) from (3)
d=5.75
Substitute the value for d into (1)
6p+4(5.75)=34
6p+23=34
Substrate 23 from both sides
6p=11
Divide both sides by 6
p=1.83
So for one drink=$5.75
For one popcorn=$1.83
To determine the% for drink
5.75+1.83=7.58
5.75/7.58 ×100
575/7.58
75.858~75.9%
The percentage for drink is 75.9%
