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jarptica [38.1K]
1 year ago
7

The first three terms of a geometric sequence are 2, 7, and 24.5. What is the next term in the sequence? A 85.75 B 49 C 42D 29.

5 E 36.75
Mathematics
1 answer:
rewona [7]1 year ago
8 0

The next term is = 85.75

Detailed explanation

Step 1

Write out the sequence

2, 7, 24.5 ....

Step 2

The sequence is exponential

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Solve for x 19-24. find the measure of the angle indicated in bold for 25-28.
Elodia [21]
N 19) 
angle (21x+6) is equal angle 90°-----> by alternate exterior angles
so
21x+6=90--------> 21x=84----------> x=4°

the answer  N 19) is 4 degrees

N 20)
angle 75 is equal angle 11x-2-----> by corresponding angles
so
11x-2=75-----> 11x=77--------> x=7°

the answer N 20) is x=7 degrees

N 21)
angle 60 is equal angle (8x-4)------> by alternate interior angles
so
8x-4=60-----> 8x=64--------> x=64/8-----> x=8°

the answer N 21) is x=8 degrees

N 22) 
angle (x+139) is equal to angle 132-----> by alternate interior angles
so
x+139=132-------> x=132-139--------> x=-7 °

the answer N 22) is x=-7 degrees

N 23) 
angle (-1+14x) is equal to angle (12x+17)---->  by alternate exterior angles
so
-1+14x=12x+17------> 14x-12x=17+1----> 2x=18----> x=9

the answer N 23) is x=9 degrees

N 24) 
angle (23x-5) is equal to angle (21x+5)----> by corresponding angles
so
23x-5=21x+5-----> 23x-21x=5+5-----> 2x=10-----> x=5

the answer N 24) is x=5 degrees

N 25)
angle (x+96) and angle (x+96)-------> are supplementary angles
so
x+96+x+96=180--------->2x+192=180------>  x=-6°
the angle indicated in bold is (-6+96)=90°

N 26) 
angle (20x+5) and angle (24x-1)-------> are supplementary angles
so
20x+5+24x-1=180------> 44x=176-----> x=4°
the angle indicated in bold is (20*4+5)=85°

N 27)
angle (6x) is equal to angle (5x+10)--------> by corresponding angles
so
6x=5x+10------> 6x-5x=10------> x=10
the angle indicated in bold is (6*10)=60°

N 28)
angle (x+109) and angle (x+89) are supplementary angles
so
x+109+x+89=180----> 2x=-18-------> x=-9
the angle indicated in bold is (x+89)----> -9+89=80°




6 0
3 years ago
In a recent survey of college professors, it was found that the average amount of money spent on entertainment each week was nor
Alenkinab [10]

Answer:

0.0918

Step-by-step explanation:

We know that the average amount of money spent on entertainment is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The mean and standard deviation of average spending of sample size 25 are

μxbar=μ=95.25

σxbar=σ/√n=27.32/√25=27.32/5=5.464.

So, the average spending of a sample of 25 randomly-selected professors is normally distributed with mean=μ=95.25 and standard deviation=σ=27.32.

The z-score associated with average spending $102.5

Z=[Xbar-μxbar]/σxbar

Z=[102.5-95.25]/5.464

Z=7.25/5.464

Z=1.3269=1.33

We have to find P(Xbar>102.5).

P(Xbar>102.5)=P(Z>1.33)

P(Xbar>102.5)=P(0<Z<∞)-P(0<Z<1.33)

P(Xbar>102.5)=0.5-0.4082

P(Xbar>102.5)=0.0918.

Thus, the probability that the average spending of a sample of 25 randomly-selected professors will exceed $102.5 is 0.0918.

5 0
3 years ago
If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
earnstyle [38]

Answer: 0.000

Step-by-step explanation:

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2 years ago
Como se escribe 317 en inglés en letras
Tom [10]

can you translate it to engish, i might help!

7 0
3 years ago
Read 2 more answers
(Mhanifa) please solve this question thank you!
Dima020 [189]

Answer:

  • Option D.

Step-by-step explanation:

The angles forming a straight angle are supplementary.

We have angles APC and DPB forming a straight angle with adjacent angle to both (either angle APD or CPB).

It means the correct choice is D.

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