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3 years ago

Divide 5/9 and round to the nearest tenth

1 answer:

3 0

First is to divide 5/9 which equals 0.555
then rounding that to the nearest tenth would be 0.56
because you would use the rule, "5 and up round up, 4 and down round down"
Hope this helped!!

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Suppose the average height of all humans is normally distributed with a mean of 72 inches and a variance of 18 inches.

nignag [31]

Answer:

a) P(75 < x < 80 ) = 0.2088

b) The probability that average height of all humans less than 65

P( X < 65 ) = 0.0495

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given mean of the Population = 72

Given variance of the Population = 18 inches.

Standard deviation of the Population = √18 = 4.242

Let 'x' be the random variable in Normal distribution

Given X₁ = 75

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{75-72}{4.242} = 0.70721$

Given X₂= 80

$Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{80-72}{4.242} = 1.885$

The probability that average height of all humans between 75 and 80

$P(75 < X < 80 ) = P(0.70721 < Z < 1.885)$

= | A ( 1.885) - A( 0.70721|

= 0.4699 - 0.2611

= 0.2088

P(75 < x < 80 ) = 0.2088

<u><em>Step(ii)</em></u>:-

Given X₁ = 65

$Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{65-72}{4.242} = -1.650$

The probability that average height of all humans less than 65

P( X < 65 ) = P( Z < - 1.650 )

= 1 - P( Z > 1.650)

= 1 - ( 0.5 + A (1.650))

= 0.5 - A( 1.65)

= 0.5 - 0.4505

= 0.0495

The probability that average height of all humans less than 65

P( X < 65 ) = 0.0495

4 0

3 years ago

What comes next!T,F,S,S,M

Wittaler [7]

Answer:

E,D

Step-by-step explanation:

6 0

3 years ago

Someone please help asap

andrew-mc [135]

Answer:

the second one

Step-by-step explanation:

because g(x) and f(x) is bout the same

6 0

4 years ago

Which of the following statements is true about the division expression 686.54 ÷ a? A. If a is a number greater than 686.54, the

borishaifa [10]

Answer:

D-- if a is a number between 0 and 1, the quotient will be greater

Step-by-step explanation:

5 0

4 years ago

Lucy works as a tutor for $7 an hour and as a waitress for $12 an hour. This month, she worked a combined total of 86 hours at h

KonstantinChe [14]

<h3>Answer: 7t + 12(86-t)</h3>

==========================================================

Explanation:

t = number of hours she worked as a tutor
86-t = number of hours she worked as a waitress

The two expressions mentioned add to 86, to indicate the total number of hours for both jobs combined.

7t = amount earned as a tutor
12(86-t) = amount earned as a waitress

We multiply the number of hours by the wage per hour to get the amount earned per job.

Lastly, we add those two subtotals to get the grand total earned

7t + 12(86-t)

Optionally you can distribute the 12 through and combine like terms. I'll leave it like this because I think it's more descriptive to show the two amounts earned from each job.

If you wanted to simplify 7t+12(86-t), then you would get 1032-5t or -5t+1032

6 0

2 years ago