Answer: you could buy 12 magazines
Step-by-step explanation:
each magazine is $2
Answer:
x = 24
Step-by-step explanation:
1.) put the equations together and equal them to 180
2x + 4 + 6x - 16 = 180
2.) combine like terms
8x - 12 = 180
3.) divide both sides by 8
8x = 192
4.) simplify
x = 24
Problem 1
Answer: Closer to 1
Explanation:
There are 20 gumballs total. Half of this is 20/2 = 10 gumballs. If there's more than 10 of one color, then the probability of getting that color is closer to 1, than it is to 0. Here we have 12 pink which is greater than 10, so that's why the answer is closer to 1.
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Problem 2
Answer: Closer to 0
Explanation:
The amount of green (3) is less than 10, so that's why the probability is closer to 0 than it is to 1. We can see that 3/20 = 0.15 is less than 0.50
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Problem 3
Answer: Closer to 0
Explanation:
We have a similar situation compared to problem 2. This time we have 5/20 = 0.25 which is less than 0.50
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Problem 4
Answer: 48% chance; fairly likely
Explanation:
We have 12 green out of 25 total, so the probability of choosing green is 12/25 = 0.48 = 48%. While this probability is not over 50%, I still say it's fairly likely considering the other colors lead to smaller probabilities. For instance, purple has a chance of 6/25 = 0.24 = 24% and orange has a probability of 2/25 = 0.04 = 4%, both of which are smaller than 48%
Given that the mean is $9.5 and the standard deviation is $1.30, the standard error will be given by:
σ/√n
where
σ-standard deviation
n=sample size
thus, we shal have:
1.30/√20
=0.2906
Next we find the margin error
0.2906*2=0.581
thus the confidence interval will be:
(9.5+0.581, 9.5-0.581)
=(10.081,8.919)
Answer:
The area of the parallelogram is 0.1875 mile² ⇒ D
Step-by-step explanation:
The formula of the area of a parallelogram is A = b1 × h1 = b2 × h2, where
- b1 and b2 are two adjacent sides of it
- h1 and h2 are the heights perpendicular to these bases
In the given figure
∵ There is a parallelogram
∵ One of its bases is 0.25 mile
∴ b1 = 0.25 mile
∵ the height of this base is 0.75 mile
∴ h1 = 0.75 mile
→ By using the rule of the area above
∴ The area of the parallelogram = 0.25 × 0.75
∴ The area of the parallelogram = 0.1875 mile²
∴ The area of the parallelogram is 0.1875 mile²
