Answer:
7x - 2
Step-by-step explanation:
let x be the number of bags of chips, then
3x is the number of bags of pretzels ← 3 times the number of bags of chips
3x - 2 is the number of bags of nachos ← 2 less than bags of pretzels
total snacks bought = x + 3x + 3x - 2 = 7x - 2
List all the different combinations with total cost:
Airplane + van = 350 + 60 = $410
Airplane + cab = 350 + 40 = $390
Bus + van = 150 + 60 = $210
Bus + cab = 150 + 40 = $190
Train + van = 225 + 60 = $285
Train + cab = 225 + 40 = $265
There are 6 different combinations.
There are 2 that are more than $300
The probability would be quantity higher than 300 / total combinations.
Probability = 2/6 = 1/3
Answer:
diagonal = = 12.8 inches (to the nearest tenth of an inch)
Step-by-step explanation:
As shown in the diagram attached to this solution:
Let the Length of the rectangular board = a
Let the width = b
Let the diagonal = d
where:
a = 10 inches
b = 8 inches
d = ?
Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:
(hypotenuse)² = (Adjacent)² + (Opposite)²
d² = 10² + 8²
d² = 100 + 64
d² = 164
∴ d = √(164)
d = 12.806 inches
d = 12.8 inches (to the nearest tenth of an inch)
<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>
We have a domain of a function, that is, which x-es can we throw in. But we are asking which y-s will we get given that we can only throw x-es in 
.
Let's try 
even though we are forbidden to put 4 inside 
we are still able to do so.
So 
what we just got is the upper limit of the range. The lower limit is 
.
So the range is just 
.
Hope this helps :)
Considering the hypothesis tested and the p-value of the test, the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:
H₀:Hₓ-H
At the alternative hypothesis it is tested if there is a difference, hence:
H₀:Hₓ-H≠0
The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:
There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.
More can be learned about hypothesis tests at brainly.com/question/26454209
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