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Alenkasestr [34]
4 years ago
11

Find the next 3 terms in each sequence 1). 8, 24, 72, 216.... ____, ______, _____,

Mathematics
1 answer:
allochka39001 [22]4 years ago
7 0

Answer: 648, 1,944, and 5,832.

Step-by-step explanation: Begin by studying the pattern.

Here, notice that 8 × 3 is equal to 24.

24 × 3 is equa to 72.

72 × 3 is equal to 216.

Continuing the same pattern, 216 × 3 is equal to 648.

648 × 3 is equal to 1,944.

1,944 × 3 is equal to 5,832.

I have also attached in image below showing my work.

So the three missing terms in the pattern are <em>648</em>, <em>1,944</em>, and <em>5,832</em>.

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he weight of male babies less than months old in the United States is normally distributed with mean pounds and standard deviati
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Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: Weight of a male baby (pounds)

X~N(μ;σ²)

μ= 11.5 pounds

σ= 2.7 pounds

a) Find the 81st percentile of the baby weights.

This percentile is the value that separates the bottom 81% of the distribution from the top 19%

P(X≤x₁)= 0.81

For this you have to use the standard normal distribution. First you have to look the 81st percentile under the Z distribution and then "translate" it to a value of the variable X using the formula Z= (X- μ)/σ

P(Z≤z₁)= 0.81

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z₁= (x₁- μ)/σ

z₁*σ= x₁- μ

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b) Find the 10th percentile of the baby weights.

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x₂= (2.7*-1.282)+11.5

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c) Find the first quartile of the baby weights.

P(X≤x₃)= 0.25

P(Z≤z₃)= 0.25

z₃= -0.674

z₃= (x₃- μ)/σ

z₃*σ= x₃- μ

(z₃*σ) + μ= x₃

x₃= (z₃*σ) + μ

x₃= (2.7*-0.674)+11.5

x₃= 9.6802 pounds

I hope this helps!

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3 years ago
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