After the 25% discount the vase would cost $18.00
Answer:
Step-by-step explanation:
This answer can be found in the h value for the vertex of a parabola, (h, k). The k value is the max height and we were already given that information. We need to solve for h. There's an easy way and a really complicated way...I'll show you the easy way because it's actually quite useful to know, especially when doing a lot of work with quadratics!
The formula to find h is
and in our quadratic, a = -16, b = 96 and c = 6. Filling in what we need:
so
h = 3
At 3 seconds the max height of 150 feet is reached.
A geometric sequence with first term "a" and common ratio "r" has "nth" term:
ar^(n-1)
And the sum of a geometric sequence with "n" terms, first term "a," and common ratio "r" has the sum "a(r^n - 1)/r - 1.
1.) 765
2.) 300
3.) 1441
4.) 244
5.) 2101
Answer: The unit digit of the quotient is 1.
Step-by-step explanation:
Since the number 2^1993 + 3^1993 is a multiple of 5, this means that no matter the value of the answer to the equation, the last digit will be 5 (we call the last digit of any number its "unit digit").
Since the unit digit of 2^1993 + 3^1993 is 5, if the unit digit is divided by 5 i.e 5/5, it will give us 1.
We will only consider the last digits of the multiple of 5 as our numerator
Answer:
a) Null and alternative hypotheses are:
: mu=183 days
: mu>183 days
b) If the true mean is 190 days, Type II error can be made.
Step-by-step explanation:
Let mu be the mean life of the batteries of the company when it is used in a wireless mouse
Null and alternative hypotheses are:
: mu=183 days
: mu>183 days
Type II error happens if we fail to reject the null hypothesis, when actually the alternative hypothesis is true.
That is if we conclude that mean life of the batteries of the company when it is used in a wireless mouse is at most 183 days, but actually mean life is 190 hours, we make a Type II error.