Luisa ran 3 2/3kilometers in 1/3 of an hour. If speed is distance over time calculate luisa's speed
1 answer:
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Answer:
Option C.
Step-by-step explanation:
If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.
The given division problem is
Here,
The numerator polynomial can be written as
So, the coefficients of numerator are 6, 1, 0, -3.
The synthetic division form for given division problem is
7 | 6 1 0 -3
Therefore, the correct option is C.
Answer:
0.0104
Step-by-step explanation:
Given that, the lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard deviation of 2.6 years.
So, mean,
and standard deviation,
The z-score, for any arbitrary life span of x year, is given by
By using the given values, we have
The z-score for x=24, by using equation (i), is
From the table, the area to the left side of z=2.31 =0.98956
But, the proportion of crocodiles have lifespans of at least 24 years
= Area to the right side of the z=2.31
=1- (Area to the left side of the z=2.31)
=1-0.98956
=0.01044
So, the proportion of crocodiles that have lifespans of at least 24 years is 0.0104.
Hence, option (a) is correct.
Emily earned $166 more in her account than Katie.
We use the compound interest formula for both of these:
For Katie's deposit:
This gives Katie 6083.26-5000 = 1083.26 in interest (1083, to the nearest dollar).
For Emily's deposit:
This means she earned 11248.64-10000=1248.64 in interest (1249, to the nearest dollar).
The difference in interest is given by 1249-1083=166
We use the compound interest formula for both of these:
For Katie's deposit:
This gives Katie 6083.26-5000 = 1083.26 in interest (1083, to the nearest dollar).
For Emily's deposit:
This means she earned 11248.64-10000=1248.64 in interest (1249, to the nearest dollar).
The difference in interest is given by 1249-1083=166