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Alona [7]
3 years ago
8

У

Mathematics
1 answer:
Masteriza [31]3 years ago
8 0

Answer:

3 units by 4 units

You might be interested in
A company claims that its laptops have an average battery life of at least 12 hours. How would you formulate this
Firdavs [7]

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.

6 0
3 years ago
Assume that all (525)poker hands are equally likely. What is the probability that you will be dealt:
AlekseyPX

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.

P_{A} =\frac{Cases   Of Flush}{Hands} =\frac{\left(\begin{array}{ccc}13\\5\end{array}\right)*\left(\begin{array}{ccc}4\\1\end{array}\right)}{\left(\begin{array}{ccc}52\\5\end{array}\right)} =\frac{5148}{2598960}=0,00198\\

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

6 0
3 years ago
HELP ASAP PLEASE AND SHOW WORK!!!
Valentin [98]

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

4 0
3 years ago
Summarize the rules for multiplying powers with the same base, dividing powers with the same base, and raising a power to a powe
Novay_Z [31]
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.
7 0
3 years ago
How many pounds does 64 ounces weigh?
wel

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

8 0
3 years ago
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