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egoroff_w [7]
2 years ago
12

Sorry would not let me copy and paste i need the answer to number 7

Mathematics
1 answer:
lukranit [14]2 years ago
6 0

Step-by-step explanation:

well, what do we expect in theory ?

a coin has a 50/50 chance for beads or tails. so, a probability of 1/2 for either one.

the probability for a survival number in a die is 1/6.

remember, the probability is always desired results over total possible results.

so, the combination is a simple multiplication.

the probability to get a certain side of the coin AND a certain number on the die is

1/2 × 1/6 = 1/12

so, this is what we would expect in theory : every combination happens in 1/12 of all cases.

now, what do we see in our practical experiment ?

there were 24 events (so, the total possible results are 24).

how many of them had heads and a 3 (the desired results) ?

there was only 1 result (in fact, there was only one 3 independently from the coin result, which is surprisingly low for 24 rolls of a die).

so, our experiment shows us a ratio or experimental probability of

1/24

for the desired result of heads with a 3 on the die.

we expected to get a ratio of

1/12 = 2/24

so, in reality, we got 1/24 less than theoretically expected.

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Find the indicated sum of each sequence S8 of -2,-13,-24,-35
valentina_108 [34]

Answer:

The sum of the arithmetic sequence is S_{8}=-324.

Step-by-step explanation:

A sequence is a set of numbers that are in order.

In an arithmetic sequence the difference between one term and the next is a constant.  In other words, we just add the same value each time infinitely.

If the first term of an arithmetic sequence is a_1 and the common difference is d, then the nth term of the sequence is given by:

                                                  a_{n}=a_{1}+(n-1)d

For the sequence

                                                -2,-13,-24,-35,...

The pattern is continued by adding -11 to the last number each time.

An arithmetic series is the sum of an arithmetic sequence.  We find the sum by adding the first, a_1 and last term, a_n, divide by 2 in order to get the mean of the two values and then multiply by the number of values, <em>n</em>

<em>                                                     </em>S_{n}=\frac{n}{2}(a_{1}+a_{n})<em />

The sum of the arithmetic sequence is

a_{8}=-2+(8-1)(-11)=-2-77=-79

S_{8}=\frac{8}{2}(-2-79})=4\left(-2-79\right)=4\left(-81\right)=-324

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