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3 years ago

Write each power as a product of factors 2^4 4^2 9^2 8^5 5^3 7^3

1 answer:

5 0

 $2^{4}$ ⇒2×2×2×2⇒16
 $4^{2}$ ⇒4×4⇒16
 $9^{2}$ ⇒9×9⇒81
 $8^{5}$ ⇒8×8×8×8×8⇒32.768
 $5^{3}$ ⇒5×5×5⇒125
 $7^{3}$ ⇒7×7×7⇒343

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Which fraction is smallest 1/5, 1/3, or 2/8?

Oksi-84 [34.3K]

1/5 is the smallest fraction

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3 years ago

The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 o

Cerrena [4.2K]

Answer:

a) No 95% of values will fall between (24;64); 68,27% will fall between (34;54)

b)71,83 % will fall between 34 and 64 ounces

Step-by-step explanation:

Empirical rule establishes, for a normal distribution with mean μ and σ as standard deviation:

In interval μ ± σ or ( μ + σ ; μ - σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would be values below the mean

Therefore in our case

μ + σ = 44 + 10 = 54

And

μ - σ = 44 - 10 = 34

a) Then 68,34 % of values will fall in this interval

We know now that value 34 is 1* σ below the mean, and is at the limit of 34,14 %

b) μ + 2*σ = 44 * 2*10 = 44 + 20 = 64

64 is the upper limit for the interval μ + 2*σ and we know that 95.45 % of all values will fall between ( μ - 2*σ ; μ + 2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

Then in interval going from ( 34 ; 64 ) we shoud find 47.73 + 34,14

71,83 % of all values will fall between 34 and 64

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3 years ago

Find the slope of the line that passes through the pairs of points ( 7, 4), (-4,5)

lilavasa [31]

Answer:

The slope is 1/-11.

Step-by-step explanation:

Slope (m) =

ΔY /ΔX =

1 /-11 = -0.090909090909091

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3 years ago

38.Randy and Amy left school at the same time and began walking in oppo-

RideAnS [48]

Answer:

DISTANCE=RATE*TIME. THEREFORE

X=3.6*1/6+4.2*1/6 (1/6 HOUR=10 MIN)

X=.6+.7

X=1.3 KM IS HOW FAR THEY WIL BE APART AFTER 10 MINUTES.

Step-by-step explanation:

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3 years ago

Read 2 more answers

"What is the probability that the next two employees that join the office staff will take the bus"

castortr0y [4]

Answer:

The correct option is A.

Step-by-step explanation:

Consider the complete question is "The table shows the transportation method used by the employees in an office.

Transportation Number of employees

Car 18

Bus 6

Walk 6

what is the probability that the next two employees that join the office staff will take the bus? A.0.04, B.0.12, C.0.33, D.0.36.

Total number of employees = 18 + 6 + 6 = 30

The probability that the employees take the bus = $\frac{6}{30}=0.2$

The probability that the employees that join the office staff will take the bus is

$Probability=(0.2)\times (0.2)=0.04$

Therefore, the correct option is A.

7 0

3 years ago