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victus00 [196]
3 years ago
7

The first term of a geometric series is 124. The sum to infinity is 64 . Find the common ratio​

Mathematics
1 answer:
zalisa [80]3 years ago
7 0

9514 1404 393

Answer:

  -15/16  

Step-by-step explanation:

The sum of a geometric series with first term a1 is ...

  S = a1/(1 -r)

Then the common ratio (r) is ...

  r = 1 -a1/S

For the given values, the ratio is ...

  r = 1 - 124/64 = -15/16

The common ratio is -15/16.

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A simple random sample of size n = 20 is obtained from a population with population mean 64 and population standard deviation 17
eimsori [14]

Answer:

Kindly check explanation

0.57691

0.4719

Step-by-step explanation

A.) The distribution of sample means must follow a normal distribution ;

Mean = 64 ; Standard deviation = 17 ;

Standard Error = s/sqrt(n) = 17 / sqrt(20) = 3.8013155

N(64 ~ 17)

Given that:

mean (m) = 64

Sample size (n) = 20

Standard deviation (s) = 17

Find

P(x < 67.3)

Z = (x - m) / s

Zscore = (67.3 - 64) / 17

Zscore = 0.1941176

P(Z < 0.194) = 0.57691 (Z probability calculator)

(c) Find P(x > 65.2).

Zscore = (65.2 - 64) / 17

Zscore = 0.0705882

P(Z > 0.0705) = 0.4719 (Z probability calculator)

5 0
3 years ago
Surgery Satisfaction Survey
Zinaida [17]

Answer: D) 14.3%

Step-by-step explanation:

Conditional probability formula:

P(B |\text{given that A}) =\dfrac{P(A\ and\ B)}{P(A)}

So, The probability he or she was dissatisfied, given that he or she had hip surgery = \dfrac{\text{Number of persons are dissatisfied and has hip surgery}}{\text{Total persons have hip surgery}}

From the table, the number of persons who are dissatisfied and has hip surgery = 15

Total persons have hip surgery = 105

Required probability = \dfrac{15}{105}\approx0.143

In percent, Required probability = 14.3%

Correct option D) 14.3%

7 0
3 years ago
How much interest would you earn if you invested $1,400 at 12% for 8 years?
Vesnalui [34]

i = Prt

i = 1400 x 0.12 x 8

i = 1,344

Answer

You would earn $1,344

3 0
3 years ago
Best Company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. The Cu
Step2247 [10]

26+18m = 14+22m

26 + 18m-22m=14

26-4m=14

-4m=12

m=3

 3 mugs

8 0
4 years ago
Read 2 more answers
What is the volume of this cylinder
arsen [322]

Answer:

471.24 Inches

Step-by-step explanation:

  • V= πr²h
  • (diameter=10, Radius = 5)
  • V = (22/7 × 5 × 5) × 6
  • V= 550 × 6
  • V = 3300 ÷ 7
  • V = 471.2389=round off
  • V = 471.24 inches
6 0
3 years ago
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