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hram777 [196]
2 years ago
15

I’ve worked out that the 1st term is -5 but can’t work out the rest. I thought it was -77 but it’s wrong

Mathematics
2 answers:
Pie2 years ago
7 0
Answer:
1st term: 3(1) - 8 = 3-8= -5
10th term: 3(10) - 8= 30-8= 22
100th term: 3(100)-8= 300-8= 292

Explanation:
Substitute the term number (e.g. 10) in the place of n

Hope this helped! :)
Goshia [24]2 years ago
4 0

Answer:

-5, 22, 292

Step-by-step explanation:

Subbsittutoin mehtod

(i) n = 1 , 3n - 8

       = 3 x 1 - 8

                 = -5

(ii) n = 10 , 3n - 8

        = 3 x 10 - 8

                    =22

(iii) n = 100 , 3n - 8

         = 3 x 100 - 8

               = 300 - 8

                     = 292

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Scores on an English test are normally distributed with a mean of 31.5 and a standard deviation of 7.3. Find the score that sepa
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If X is a random variable representing test scores, then the 41st percentile is the score x such that P(X\le x)=0.41. Transform X to the random variable Z that follows the standard normal distribution via X=31.5+7.3Z:

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Aiko stands 5 m from a tree. At that distance, the angle of elevation from the ground to the top of the tree is 80°.
denis23 [38]

Answer:

\boxed {\boxed {\sf About \ 28.36 \ meters }}

Step-by-step explanation:

Assuming the tree is perpendicular to the ground, we can use the right triangle trigonometric ratios to find the tree's height.

  • sin(θ)= opposite/hypotenuse
  • cos(θ)= adjacent/hypotenuse
  • tan(θ)= opposite/adjacent

Now, let's draw a diagram. We know Aiko is 5 meters from the base of the tree. From there, the angle to the top of the tree is 80 degrees. We are looking for x, the tree's height. The diagram attached is not to scale.

We base the sides off of the angle. x is opposite of 80 degrees and 5 is adjacent. Therefore we must use tangent.

tan(\Theta)=\frac{opposite}{adjacent}

  • opposite=x
  • adjacent=5 m
  • θ=80

Substitute in the known variables.

tan(80)=\frac{x}{5 \ m }

We want to find x, the height of the tree. Therefore we need to isolate that variable.

x is being divided and the inverse operation is multiplication. Multiply both sides of the equation by 5 meters.

5 \ m* tan(80)=\frac{x}{5 \ m }* 5 \ m

5 \ m* tan(80)=x

5 \ m *5.67128182=x

28.3564091 \ m = x

The question asks for an approximation, so let's round to the nearest hundredth.

The 6 in the thousandth place tells us to round the 5 to a 6.

28.36 \ m \approx x

The tree is about <u>28.36 meters tall.</u>

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Answer:

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