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Fofino [41]
3 years ago
13

What is the 11th partial sum of the arithmetic sequence {1, 7, 13, 19, …}?

Mathematics
2 answers:
Elina [12.6K]3 years ago
6 0

Answer:

341

STEPS:

an = a1 + (n-1) d

a1 is the first number

d = is the difference between each number = 6

a11 = 1 + (11 - 1)6

a11 = 61

Sn = n (a1 + an)/2

S11 = 11 (1 + 61)/ 2

S11 = 682/2

S11 = 341 = answer

NeX [460]3 years ago
4 0

Answer:

B

Step-by-step explanation:

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Can someone please actually help with with this problem?
Anna11 [10]

Answer:

(a)

\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ {P(x)} & {0} & {4} & {8} & {12} & {16}& {20} & {24} \ \end{array}

(b)

P(x) = 4x

(c)

See attachment for graph

Step-by-step explanation:

Given

P(x) = Perimeter of square

Solving (a): Complete the table

The perimeter of a square is:

P =4x

so, the table will be completed by multiplying each value of x by 4.

So, we have:

\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ {P(x)} & {0} & {4} & {8} & {12} & {16}& {20} & {24} \ \end{array}

Solving (b): The equation

This has already been stated in (a)

P(x) = 4x

Solving (c): The graph

See attachment for graph

6 0
3 years ago
For each of the given​ situations, write out the alternative​ hypothesis, being sure to state whether it is​ one-sided or​ two-s
tekilochka [14]

Answer:

Null hypothesis: p\leq 0.3

Alternative hypothesis: p > 0.3

Step-by-step explanation:

1) Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".  

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

2) Solution to the problem

On this case we want to test is p>0.3 since we want to check if the new model has improved the warranty rate, we can express it like this:

p-0.3 since are equivalent expressions.

And the alternative hypothesis should be the complement:

Null hypothesis: p\leq 0.3 or p=0.3

So the correct system of hypothesis for this case would be:

Null hypothesis: p\leq 0.3

Alternative hypothesis: p > 0.3

The alternative way should be:

Null hypothesis: p = 0.3

Alternative hypothesis: p > 0.3

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3 years ago
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Fofino [41]
The answer is 3,704. You multiply 463 by 8
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Paha777 [63]

Answer:

F,D

Step-by-step explanation:

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