Answer:
4/21 kilometers per hour
Step-by-step explanation:
Since the tortoise traveled 1/6 kilometers in 7/8 hour we can divide 1/6 by 7 because 7/8 divided by 7 is 1/8 and get 1/42.Once we've done this we can then multiply 1/6 by 8 since 1/8 x 8= 8/8 or 1 hour and get 8/48 which simplifies to 4/21.
Answer:
Degree = 4
Step-by-step explanation:
For the given conditions:
n = 4
i and 5i are zeros
f(-2) = 145
For zeros, it means they are a quadratic factor of the expression
It means, we will have x = ± i and x = ± 5i
therefore, the given factors are (x - i)(x + i)(x - 5i)(x + 5i)
Hence, we have the function
given degree = 4
f(x) = a(x-i)(x+i)(x-5i)(x+5i)
f(x) = a(x² + 1)(x² + 25)
Hence, substituting -2 for x, we have
f(-2) = a(5)(29) = 145
Hence, a = 1
f(x) = x⁴ + 26x² + 25
Therefore, we can see that the given degree = 4
The first thing that yo do is divide 100 by 5 for Yemi and that's how fast she drove which is 20 miles per hour. And then you do the same thing for Holly 100 divided by 4 which is 25 mph. So Holly is driving faster than Yemi. So you can compare them by dividing the miles by hours for both of them.
Answer:
There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1432
p = 23% = 0.23
Alpha, α = 0.05
Number of theft complaints , x = 321
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.298
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Conclusion:
Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.
Answer:
907.46
Step-by-step explanation:
We know the area of a circle is: