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lakkis [162]
3 years ago
8

1. 248 + 56 base 8 2. 751 +24 base 4 3. 1001 _ 111 base 3 4.3121 _1334 base 5 5. 321 ×21 base 5 6. 205+ 51 base 6​

Mathematics
1 answer:
liraira [26]3 years ago
5 0

Answer:

If we are converting between two bases other than decimal, we typically have to convert ... For two digits in base 8, we need 4, 5, or 6 digits in base 2.

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A cube has a volume of 216cm³ what is the side length of the cube​
ludmilkaskok [199]

Answer:

The side length of  the cube is 6 cm

Step-by-step explanation:

The volume of a cube is given by

V = s^3

We know the volume is 216

216 = s^3

Take the cube root of each side

216 ^ (1/3) = s^ (1/3)

6 = s

The side length of  the cube is 6 cm

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3 years ago
Suppose the heights of women at a college are approximately Normally distributed with a mean of 65 inches and a population stand
Zigmanuir [339]

Answer:

Step-by-step explanation:

Hello!

The variable of interest, X: height of women at a college, has an approximately normal distribution with mean μ= 65 inches and standard deviation σ= 1.5 inches.

You need to look for the value of height that marks the bottom 20% of the distribution, i.e. the height at the 20th percentile of the normal curve, symbolically:

P(X≤x₀)= 0.20

To know what value of height belongs to the 20% of the distribution, you have to work using the standard normal distribution and then reverse the standardization with the population mean and standard deviation to reach the value of X. So the first step is to look for the Z-value that accumulates 20% of the distribution:

P(Z≤z₀)=0.20

z₀= -0.842

z₀= (x₀-μ)/σ

z₀*σ= (x₀-μ)

x₀= (z₀*σ)+μ

x₀= (-0.842*1.5)+65

x₀= 63.737 inches

I hope it helps!

6 0
3 years ago
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