The answer is 67.93939393939394
Answer:
Step-by-step explanation:
In order to find the slope, subtract -7 and -7, which is -7-(-7)=-7+7=0
Then subtract 7 and -2, which is 7-(-2) = 7+2=9
Divide 0 and 9 which equals 0
the slope is 0
Answer:
The real distance would be 16
Step-by-step explanation:
If the scale is 1/2, that means each distance on the map is half of what the real distance is. So 8 x 2 =16.
Answer:
2.5% probability that a randomly selected book has fewer than 133 pages.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 189 pages
Standard deviation = 28 pages
What is the probability that a randomly selected book has fewer than 133 pages?
133 = 189 - 2*28
So 133 is two standard deviations below the mean.
The Empirical Rule states that 95% of the measures are within 2 standard deviations of the mean. The other 5% is more than two standard deviations distant from the mean. The normal distribution is symmetric, which means that of those 5%, 2.5% are more than 2 standard deviations below the mean and 2.5% are more than 2 standard deviations above the mean.
This means that there is a 2.5% probability that a randomly selected book has fewer than 133 pages.
Answer:
Step-by-step explanation:
You could factor this to find out how many real roots you have, but it's easier to use the rule of the discriminate. The discriminate comes from the quadratic formula:
Plug in the numbers from the quadratic and see what the value of it is. If the:
discriminate < 0, you have 2 imaginary roots
discriminate = 0, you have 1 real root, multiplicity 2 and
discriminate > 0, you have 2 real roots
Our b is 8, our a is 6 and our c is -7 (remember you have to set the polynomial equal to 0 to do this).
Because 232 is > 0, we have 2 real roots.
