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Alecsey [184]
2 years ago
11

What is 77/200 as a decimal

Mathematics
1 answer:
garri49 [273]2 years ago
8 0
<span>The correct answer is 0.385.

Explanation<span>:
Decimals deal with powers of 10, such as 10, 100, 1000, etc. We can change this to a power of 10 by dividing both top and bottom by 2; this will give us 100 in the denominator.

77/2=38.5, so we have 38.5/100.

Dividing by 100 is the same as moving the decimal two places to the left, so we have 0.385.</span></span>
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The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?
vovikov84 [41]

Answer:

The first term is:

  • a_1=-61

Step-by-step explanation:

The arithmetic sequence is defined by

a_n=a_1+\left(n-1\right)d

where

a_1 is the first term

d is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. a_{17}=51

so

a_n=a_1+\left(n-1\right)d

a_{17}=a_1+\left(17-1\right)d        

51=a_1+\left(17-1\right)7         ∵ n = 17, a_{17}=51 , d=7

a_1+112=51                   ∵ \left(17-1\right)\cdot \:\:7=112

a_1=-61

Therefore, the first term is:

  • a_1=-61
8 0
2 years ago
<img src="https://tex.z-dn.net/?f=x%20%2B%20y%20%20%3D%2014%5C%5C%202x%20%2B%204y%20%3D%2018" id="TexFormula1" title="x + y = 1
alexgriva [62]

Answer:

x = 19, y = -5

Step-by-step explanation:

x + y = 14  => x= 14-y

2x + 4y = 18  => 2(x+2y)=18  => x+2y=9

x+2y=9 => (14 - y) + 2y = 9

14 + y = 9  => y = -5

x + (-5) = 14  => x=19

5 0
2 years ago
Presbycusis is the gradual hearing loss that occurs as a person ages. An estimated one-quarter of Americans between the ages of
svetlana [45]

Answer:

The answer is the "Null hypothesis and Alternative hypothesis".

Step-by-step explanation:

The null hypothesis is almost like a hypothesis test, which indicates the certain demographic characteristics which aren't varied.

The alternative presumption will be that the hypothesis besides making predictions is opposite to the void assumption. Its posts are generally taken as a result of a meaningful effect.

Difference:

The null hypothesis is indeed a gross generalization, which specifies there is no relation between different phenomenons under evaluation. There is no association between the two groups. An alternate solution hypothesis is a statement, that defines there is a relation between different chosen variables in this study.

3 0
2 years ago
Determine if line AB is tangent to the circle. Type
adoni [48]

Answer:

If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.

We also know that Pythogoras' theorem only holds for right angled triangles.

The hypotenuse is 12 + 8 as 12 is the radius so is 20.

16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.

6 0
3 years ago
What would 1469.52 be rounded to?
denis23 [38]
1470 because 0.52 is close to the whole
4 0
3 years ago
Read 2 more answers
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