Answer:
The standard deviation of the speeds of cars travelling on California freeway is 6.0088 miles per hour.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.
In this problem, we have that:
Suppose that the speeds of cars travelling on California freeways are normally distributed with a mean of 61 miles/hour. This means that 
.
The highway patrol's policy is to issue tickets for cars with speeds exceeding 75 miles/hour. The records show that exactly 1% of the speeds exceed this limit. This means that the pvalue of Z when 
is 0.99. This is 
So
The standard deviation of the speeds of cars travelling on California freeway is 6.0088 miles per hour.
Answer: C, Bottom Left
Step-by-step explanation:
Given a quadratic function
y = 4x² - 19x - 5
or i will write it as
4x² - 19x - 5 = y
Zero of the function is when y have the value of zero.
So the quadratic equation will be
4x² - 19x - 5 = y
4x² - 19x - 5 = 0
Now make the equation to intercept form by factorization
4x² - 19x - 5 = 0
(4x + 1)(x - 5) = 0 (this is intercept form)
Solution 1
4x + 1 = 0
4x = -1
x = -1/4
Solution 2
x - 5 = 0
x = 5
SUMMARY
-1/4 and 5 are zero function of f(x) = 4x² - 19x - 5
Answer:
Step-by-step explanation:
Prove that for any natural number 3^(n+4)-3n is divisible by 16.
(I'm going to assume that you mean 3^(n+4)-3^n.)
1. We can break up 3^(n+4)-3n into 3^n * 3^4-3^n (by the rule a^b*a^c = a^b+c).
2. Solve to get 3^n * 81 - 3^n
3. Factor out the 3^n, and you'll get 3^n(81-1), and simplify: 3^n(80)
You may notice that 80 is divisible by 16.
4. Rewrite what we got from the last step as: 3^n*5(16).
Hope this helped you!
Answer:
36$
Step-by-step explanation:
because if you add the 20 and the 10 you get 30 and then you get 5 more that 35 and then 1 dolloer thats 36
