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Andru [333]
3 years ago
15

Find the 57th term of the arithmetic sequence -13, -29, -45, ...

Mathematics
2 answers:
valina [46]3 years ago
5 0

Answer: the 57 the term is - 909

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = - 13

d = - 29 - - 13 = - 45 - - 29 = - 16

n = 57

We want to determine the value of the 57th term, T57. Therefore,

T57 = - 13 - 16(57 - 1)

T57 = - 13 - 896

T57 = - 909

lora16 [44]3 years ago
5 0
The answer is 57 and the term is -909
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In an article about the cost of health care, Money magazine reported that a visit to a hospital emergency room for something as
ASHA 777 [7]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Assume a normal distribution :

Mean (m) = 328

Standard deviation (sd) = 92

To obtain Zscore :

Zscore = (x - m) / sd

What is the probability that the cost will be more than $500?

x = $500

Zscore = (500 - 328) / 92 = 172 / 92 = 1.869 = 1.87

1 - p(Z < 1.87) = 1 - 0.9693 = 0.0307

b. What is the probability that the cost will be less than $250?

x = $250

Zscore = (250 - 328) / 92 = - 78 / 92 = - 0.8478 = - 0.85

p(Z < - 0.85) = 0.1977

c. What is the probability that the cost will be between $300 and $400?

x = 300

Zscore = (300 - 328) / 92 = - 28/ 92 = -0.30

p(Z < - 0.3) = 0.3821

x = 400

Zscore = (400 - 328) / 92 = 72/ 92 = 0.783

p(Z < 0.783) = 0.7823

0.7823 - 0.3821 = 0.4002

d. If the cost to a patient is in the lower 8% of charges for this medical service, what was the cost of this patient’s emergency room visit?

Probability is lower 8%

P (Z < Zscore) = 0.08

Zscore of 0.08 corresponds to - 1.41 on the z table

Zscore = (x - m) / sd

-1.41 = (x - 328) / 92

-129.72 = x - 328

-129.72 + 328 = x

x = 198.28

4 0
3 years ago
Determine if the sequence is arithmetic write yes or no 5,9,14,20
makkiz [27]

Answer: No

Step-by-step explanation:

An arithmetic sequence is one where the same number is being added to the number before it. For example, 2, 4, 6, 8..., where 2 is being added to each number.

In this case, however, the number being added is not consistent with this pattern. Between 5 and 9, the difference is 4 and between 9 and 14, the difference is 5, and so forth. This pattern does not follow the rules of an arithemtic sequence.

5 0
3 years ago
What is the slope of the line that contains the points in the table?
Debora [2.8K]

Answer:

D

Step-by-step explanation:

The boxes with whole numbers in them written as coordinates:

(-4, -11)

(8, -8)

we know gradient is rise over run, or (y2 - y1) / (x2 - x1)

gradient = (-8 - -11) / (8 - -4)

gradient = 3 / 12

gradient = ¼

4 0
2 years ago
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The shape moved over 10 and up three. Is this what you’re looking for?
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3 years ago
Find the least common multiple 36, 27 and 10
Ostrovityanka [42]
36= 2*2*3*3
27= 3*3*3
10= 2*5

LCM= 2*2*3*3*3*5
LCM= 540

Final answer: 540
4 0
3 years ago
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