Adding the two equations will be adding similar terms to both equations. That is:
8x + (-8x) = 0
-10y + (-6y) = -16y
20 + (-4) = 16
Therefore, adding the two equations will look like -16y = 16. (Option 3)
John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun
1 answer:
The system of inequalities is: and
<em><u>Explanation</u></em>
Let be the amount of live bait and
be the amount of natural bait.
As John would like to get at least 3 pounds of live bait, so the first inequality will be:
Given that, price of live bait is $12 per pound and natural bait is $7 per pound. Also, he only has a budget of $63. That means, he can spend maximum $63
So, the cost for buying pound of live bait
and the cost for buying
pound of natural bait
Thus, the second inequality will be:
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Answer:
1. the probability that giraffe will be shorter than 17 feet tall is equal to 0.1056
2. the probability that a randomly selected giraffe will be between 16 and 19 feet tall is equal to 0.8882
3. the the 90th percentile for the height of giraffes is 19.024
Step-by-step explanation:
To calculate the probability that a giraffe will be shorter than 17 feet tall, we need to standardize 17 feet as:
Where x is the height of the adult giraffe, m is the mean and s is the standard deviation, so 17 feet is equivalent to:
Now, the probability that giraffe will be shorter than 17 feet tall is equal to P(z<-1.25). Then, using the standard normal distribution table, we get that:
At the same way, 16 and 19 feet tall are equivalent to:
So, the probability that a randomly selected giraffe will be between 16 and 19 feet tall is equal to:
Finally, to find the the 90th percentile for the height of giraffes, we need to find the value z that satisfy:
Now, using the standard normal distribution table we get that z is equal to 1.28. Therefore, the height x of the giraffes that is equivalent to 1.28 is:
it means that the the 90th percentile for the height of giraffes is 19.024