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Alika [10]
3 years ago
9

The sum of 2 consecutive odd integers equals 12. What are they

Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0
5 and 7 are the answers
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A survey of U.S. adults found that 67% oppose raising the Medicare eligibility age from 65 to 67. You randomly select 80 U.S. ad
Dimas [21]

Answer:

0.477%

6.55%

5.05%

Event in question (a)

Step-by-step explanation:

Given that:

p = 0.67 ; n = 80

Using Normal approximation :

Mean (m) = np = 80 * 0.67 = 53.6

Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057

probability that the number who oppose raising the age is

(a) at least 65

65 - 0.5 = 64.5 = x

Z = (x - m) / s

Z = (64.5 - 53.6) / 4.2057 = 2.592

P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)

(b) exactly 50

x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5

Z = (50.5 - 53.6) / 4.2057 = - 0.737

Z = (49.5 - 53.6) / 4.2057 = - 0.974

P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)

0.23056 - 0.16503 = 0.06553

(c) more than 60, and (d) identify any unusual events

x = 60 + 0.5 = 60.5

Z = (60.5 - 53.6) / 4.2057 = 1.64

P(Z > 1.64) = 0.0505

D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%

6 0
2 years ago
How many different 6 card hands of three face cards and three ace's can I choose from twelve face cards and four ace's?
julsineya [31]

answer :

69 different hand cards

3 0
2 years ago
Read 2 more answers
If the data (x+1), (2x+1), (x+7), and (3x+4) are in ascending order and the median is 16, then find the value of 'X'.​
Sonbull [250]

Answer:

sum \:  = (x + 1) + (2x + 1) + (x + 7) + (3x + 4) \\  = 7x + 13 \\ median = ( \frac{sum}{2}  + 1) \\ 16 = ( \frac{7x + 13}{2}  + 1) \\ 7x + 13 = 14 \\ 7x = 1 \\ x =  \frac{1}{7}

7 0
2 years ago
Please help me im stuckkm
Marrrta [24]

Answer:

Below in bold.

Step-by-step explanation:

(a) Using the Pythagoras theorem:

30^2 = 21^2 + p^2

p^2 = 30^2 - 21^2 = 459

p = √459

  = 21.4 cm to nearest tenth.

(b) cos P = 21/30 = 0.70

   m < P = 45.57 degrees to nearest hundredth.

8 0
2 years ago
Read 2 more answers
What is the value of the expression –4x3 when x = –2? A. –24 B. –32 C. 32 D. 24
timurjin [86]
Answer to your question would be 
c. 32
Because you would first have to multiply -4 and -2, and a negative times a negative times a negative equals a positive so -4 times -2 = 8 and then 8 times 3 equals 32 so the answer would be 32.
6 0
2 years ago
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