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2 years ago

Hello, can someone please help me on solving this kind of question?

Mathematics

1 answer:

jek_recluse [69]2 years ago

8 0

Answer: so i think for part a , the first term is a subscrpit 0 which is 10. Then the formula for any term in the sequence is Ao x R ^n. So R =2 so

1st term = 10 ( 2^0)= 1

2nd term = 10 (2^1) =20

3rd term = 10 (2^2)= 40

4th = 80

5th = 160

Part B

The limit as n approaches infinity for a sub n when R is 0, 1 and 2. THE LIMIT FOR R of 0, 1 and 2 is infinity.

Part C...i will have to research...sorry

Step-by-step explanation:

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Laboratory experiment shows that the life of the average butterfly is normally distributed with a mean of 18.8 days and a standa

inessss [21]

Answer:

a) 0.4164

Step-by-step explanation:

Mean lifespan (μ) = 18.8 days

Standard deviation (σ) = 2 days

For any given lifespan 'X', the z-score is:

$z=\frac{X- \mu}{\sigma} \\z=\frac{X- 18.8}{2}$

For X=12.04 days:

$z=\frac{12.04 - 18.8}{2} \\z=-3.38$

A z-score of -3.38 falls in the 0.036-th percentile of a normal distribution.

For X=18.38 days:

$z=\frac{18.38 - 18.8}{2} \\z=-0.21$

A z-score of -3.38 falls in the 41.68th percentile of a normal distribution.

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2 years ago

Samples of skin experiencing desquamation are analyzed for both moisture and melanin content. The results from 100 skin samples

zheka24 [161]

Answer: a. 0.40 b. 0.23 c . 0.435 d . 0.25

Step-by-step explanation:

melanin content Total

high low

moisture high 13 10 23

content low 47 30 77

Total 60 40 <u> </u><u>100</u>

Let A denote the event that a sample has low melanin content, and let B denote the event that a sample has high moisture content.

a) Total skin samples has low melanin content = 10+30=40

P(A)= $\dfrac{40}{100}=0.40$

b) Total skin samples has high moisture content = 13+10=23

P(B) = $\dfrac{23}{100}=0.23$

c) A ∩ B = Total skin samples has both low melanin content and high moisture content =10

P(A ∩ B) = $\dfrac{10}{100}=0.10$

Using conditional probability formula , $P (A|B)=\dfrac{P(A\cap B)}{P(B)}$

$P (A|B)=\dfrac{0.10}{0.23}=0.434782608696\approx0.435$

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$P (B|A)=\dfrac{0.10}{0.40}=0.25$

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3 years ago

What is the slope of the line passing through the points (-1,-7) and (-9,-2)?

nalin [4]

Answer: m = -5/8

Step-by-step explanation:

The general equation for slope is rise over run, also known as:

m=(y2-y1)/(x2-x1)

From the points (x, y), we can get all the variables we need.

(-1, -7) gives us x1 = -1 and y1 = -7

(-9, -2) gives us x2 = -9 and y2 = -2

If we plug all the values in, we get:

m = (-2 - (-7))/(-9 - (-1))

m = (-2 + 7)/(-9 + 1) the negatives cancel

m = (5)/(-8)

m = -5/8

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3 years ago

Parallelogram ABCD is dilated to form parallelogram EFGH. Side AB is proportional to side EF. What corresponding side is proport

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The answer is EH

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3 years ago

Solve log base 2 of one sixteenth.

irinina [24]

Answer:

-4

Step-by-step explanation:

log (2) (1/16)

2^4=16

fraction is negative exponent

-4

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1 year ago