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Doss [256]
2 years ago
6

A quotient is considered rationalized if its denominator contains no

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
4 0

Answer:

  radicals or complex numbers

Step-by-step explanation:

A "rationalized" denominator consists entirely of a real number or variable expression with real coefficients. Preferably, any number(s) will be integer(s).

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A mile-runner’s times for the mile are normally distributed with a mean of 4 min. 3 sec. (This would have to be expressed in dec
Vinvika [58]

Answer: 0.0668

Step-by-step explanation:

Given: Mean : \mu=\text{4 min. 3 sec.=4.05 minutes}

Standard deviation : \sigma = \text{2 seconds=0.033333 minutes }

The formula to calculate z-score is given by :_

z=\dfrac{x-\mu}{\sigma}

For x= 4 minutes  , we have

z=\dfrac{4-4.05}{0.03333}\approx-1.5

The P-value = P(z\leq-1.5)=0.0668072\approx0.0668

Hence, the probability that on a given run, the time will be 4 minutes or less = 0.0668

8 0
2 years ago
You want to put 520 quarters in coin wrappers. You need one rapper for every $10 in quarters. Write equation you can use to find
Nataly_w [17]
10x4=40

520/w=40
 OR
40w/40=520/40

ANSWER:w=13 wrapers
3 0
2 years ago
Read 2 more answers
PT=7x-24 and TQ=6x-2, Find PT.
Nastasia [14]
We can't find what PT exactly is because we don't know TQ or x.  However, we can find PT in terms of TQ!

Multiply the second equation by seven sixths to get:

\frac{7TQ}{6}=7x- \frac{7}{3}

Subtract \frac{65}{3} from both sides to get:

\frac{7TQ}{6}- \frac{65}{3}=7x-24

Substituting PT for 7x-24, we see that:

PT= \frac{7TQ}{6} - \frac{65}{3}, which is our answer.
4 0
2 years ago
610 people go on a coach trip each coach can hold 55 people how many coaches are needed
diamong [38]

Answer:

12

Step-by-step explanation:

610 divided by 55 = 11.09

but since u cant have 11.09, u need 12

4 0
2 years ago
Read 2 more answers
Make y the subject of the formula x=a-2by squared
Dominik [7]

Answer:

y = ± \sqrt{\frac{a-x}{2b} }

Step-by-step explanation:

Given

x = a - 2by² ( subtract a from both sides )

x - a = - 2by² ( multiply through by - 1 to clear the leading negative )

a - x = 2by² ( divide both sides by 2b )

\frac{a-x}{2b} = y² ( take the square root of both sides )

y = ± \sqrt{\frac{a-x}{2b} }

7 0
2 years ago
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