Options:
H0 :
H0 : µ =12
H0 > 12> H1
None of these
Answer:
None of these
Step-by-step explanation:
The answer is
H0 : µ ≧ 12
Ha : µ<12
We formulate the null and alternative hypothesis here to state that battery life of the laptop lasts at least 12 hours(more than but not less, null hypothesis) or that it lasts less than 12 hours(alternative hypothesis).
The null hypothesis is the one being tested to know whether we would reject it or not in which case we choose the alternative hypothesis. To test the hypotheses, we do a t test using a significance level of say 0.05(95% confidence interval) and find our p value in order to compare and decide if the null hypothesis would be rejected or not based on statistical significance.
Answer:
There is 1.98% of probability of being dealt a flush in 5-card Poker
Step-by-step explanation:
To know the probability of a flush being dealt, we can calculate the number of cases when that happens and divide it by the total number of cases of poker hands that exist, naming A the event of a flush.
We will use combinations (nCr button on a calculator) to count the number of cases, because we don't care about the order (it is the same to be dealt a 2, 4, 6, 7 and 8 of hearts than the opposite order), being a flush the event when we take 5 cards out of 13 of the same suit, times 1 out of 4 possible suits and the total number of cases is taking 5 random cards out of 52.
That means there is about a 2% of probability of being dealt a flush.
In other words, of every 16660 plays, 33 will be, on average, a flush
Answer:
<h3>
f(x) = 2(x - 6)² - 3 </h3>
Step-by-step explanation:
f(x) = a(x - h)² + k ← vertex form of parabola equation with vertex (h, k)
So:
f(x) = a(x - 6)² + (-3)
f(x) = a(x - 6)² - 3 ← vertex form of our parabola equation
Parabola goes through (8, 5) so if x=8 then f(x)=5
5 = a(8-6)² - 3
5 +3 = a(2)² - 3 +3
8 = 4a
a = 2
That means, the equation of a parabola with vertex (6, -3) and passing through the point (8, 5):
f(x) = 2(x - 6)² - 3
To multiply two expotential terms with the same base, add their exponents. To raise a power, multiply the exponents. To divide two expotential terms with same base, subtract the exponents.
Answer:
4 lbs
Step-by-step explanation:
There are 16 ounces in a pound, so divide 64 by 16 to get the number of pounds. 64 ÷ 16 = 4 lbs
