1) Convert mixed fractions into fractions.
6 2/5 = ((6*5) + 2) / 5 = 32 / 5
2 2/3 = ((2*3) + 2) / 3 = 8 / 3
2) 32 / 5 ÷ 8 / 3 ; where 32/5 is the 1st fraction and 8/3 is the 2nd fraction
a) Get the reciprocal of the 2nd fraction:
From 8/3 to 3/8
b) Multiply 1st fraction to the reciprocal of the 2nd fraction
32 / 5 * 3 / 8 = (32*3) / (5*8) = 96 / 40
c) Simplify the fraction.
96 / 40 divide by 4 will become 24/10.
24 / 10 divide by 2 will become 12 / 5. The simplified fraction of 96/40.
The unit rate is 12 / 5 = 2 2/5 revolutions per second.
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Answer:
We select the option c.
Step-by-step explanation:
<u>Best Fit Regression Model</u>
Scientists often wonder if there is a relationship between the variables under study. It's a vital matter in modern times where artificial intelligence technology is struggling to find answers where traditional approaches hadn't before.
The most-used tool to find relations between variables is the regression model and its best fit lines to try to find an expression who relates variable x (years from 1960) and variable y (minimum wage requirement) as of our case.
The data was entered into a digital spreadsheet and an automatic function was applied to find the best-fit model.
The automated tool's output was this equation:
That can be rounded to three decimals
We select the option c.
Answer:
x=2/3
Step-by-step explanation:
6x+6=10
Answer:
The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08
Step-by-step explanation:
To solve this exercise we have to know that the probability is calculated by dividing the number of favorable events by the number of possible events.
f = favorable events
we will count how many numbers between 1 and 50 have the same number in the ones place in the tens place
11 ; 22 ; 33 ; 44
as we can see there are 4 numbers
f = 4
p = possible events
the number of possible events is given by the number of cards in the deck
p = 50
4/50 = 0.08
The probability that the student will select a card that has both the same number in the ones place in the tens place is 0.08
