Copy and complete each table.

Mathematics

1 answer:

LUCKY_DIMON [66]2 years ago

3 0

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

$T_{2}-T_{1}$ = -3 - 2

= -5

Similarly, $T_{3}-T_{2}=-8-(-3)$

= -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, $T_{n}$ = a + (n - 1)d [n = input value]

$T_{n}$ = 2 + (n - 1)(-5)

= 2 - 5n + 5

= -5n + 7

5th term of this sequence,

$T_{5}=2+(5-1)(-5)$

= 2 - 20

= -18

Therefore, 5th term of sequence = -18

nth term of the sequence = -5n + 7

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The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of

yuradex [85]

A. The mean and standard deviation.

The mean of a sampling distribution is approximately equal to the mean of the population. Given that the mean of the population is equal to 174.5, the mean of the sampling distribution is also this value.

The standard deviation of a sample distribution is equal to,

u(m) = u/sqrt n

Substituting the known values,

u(m) = 6.9 / sqrt 25 = 1.38

b. Get the z-score of both items,

z-score = (data point - mean) / standard deviation

z-score of 172.5
z-score = (172.5 - 174.5) / 1.38 = -1.49
This translates to 0.068.

z-score of 175.8
z-score = (175.8 - 174.5) / 1.38 = 0.94
This translates to 0.83.

The difference between the two z-scores is 0.762.

The number of samples with this height is 0.762(200) which is equal to approximately 152.

c. z-score of 172 centimeters

z-score = (172 - 174.5) / 1.38

z-score = -1.81
This translates to 0.03.

The number of people with this height from the sample is (0.03)(200) = 6

8 0

2 years ago

Leah decided to paint some of the rooms at her 51-room hotel. She needs 1/5 of a can of paint per room. If Leah had 6 cans of pa

netineya [11]

Answer:

Leah can paint 30 rooms.

Step-by-step explanation:

Each room requires $\dfrac{1}{5}$ of a can of paint, this means painting 5 rooms requires