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garri49 [273]
3 years ago
15

Find the inverse of y=1/2x+6

Mathematics
1 answer:
Komok [63]3 years ago
3 0

Answer:

y = 2x - 12

Step-by-step explanation:

We want to find the inverse of

y =  \frac{1}{2}x + 6

We interchange x and y.

x =  \frac{1}{2}y + 6

We need to solve for y, so let us multiply through by 2.

2x = y + 12

Subtract 6 from both sides.

y = 2x - 12

Therefore the required inverse is

y = 2x  - 12

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Find the distance between the points T(13, 1.6) and V(5.4.3.7).
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Find the distance between the points t(13, 1.6)t(13, 1.6) and v(5.4, 3.7)v(5.4, 3.7).

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eco92

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The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

Thus the distance between points t(13, 1.6) and v(5.4, 3.7) is found using the formula as:

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2 years ago
For a binomial process, the probability of success is 40 percent and the number of trials is 5. Find the standard deviation.
Yakvenalex [24]

Answer:

Sd(X) =\sqrt{1.2}=1.095

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=5, p=0.4)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

The mean for the binomial distribution is given by:

E(X) =np=5*0.4=2

And the variance is given by:

Var(X) = np(1-p) =5*0.4*(1-0.4)=1.2

And the deviation is just the square root of the variance so we got:

Sd(X) =\sqrt{1.2}=1.095

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3 years ago
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2 years ago
Sam bought an $85.00 for 40% of the regular price.How much did he pay for the jacket?
BartSMP [9]

Answer:

he payed 34$ for the jacket

Step-by-step explanation:

4 0
3 years ago
Plz look at pic !!!! Plz Help!!! <br> Use proportion to solve
soldi70 [24.7K]

Answer:

It takes 26 2/3 gallons to make a 400 mile trip.

Step-by-step explanation:

This question is simply asking for the number of miles per gallon . In math, <em>per</em> means this is meant to be written as a fraction.

"If a trip of 270 miles required 18 gallons of gas" is actually saying "270 miles per 18 gallons." This can be written as a fraction like so: 270/18.

If we're looking for the amount of gas used for a 400 mile trip, we have the fraction: 400/g, g being the amount of gallons it took to make that trip.

Now we can set up the proportion: \frac{270}{18} =\frac{400}{g}

Cross multiply and solve accordingly.

\frac{270}{18} =\frac{400}{g}

400270g = 400 *18\\ 270g = 7200\\g=26\frac{2}{3}/g

So the answer is:

It takes 26 2/3 gallons to make a 400 mile trip.

6 0
3 years ago
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