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Ber [7]
3 years ago
10

Find the solution for the equation y=4x-3

Mathematics
2 answers:
weqwewe [10]3 years ago
8 0

Answer:

(-4,-19)

Step-by-step explanation:

Substitute the points into the equation and see if it is true

y = 4x-3

-3 = 4(4) -3

-3 = 16-3

-3 = 13  false

-19 = 4(-4) -3

-19 = -16-3

-19 -19   true

love history [14]3 years ago
8 0

Answer:

(-4, -19)

Step-by-step explanation:

To find the solution plug in the coordinates (x,y)

You want a set of coordinates that make it so that both sides are equal

For example:

(-4, -19)

y    = 4x - 3

-19 = 4(-4) - 3

-19 = -16 - 3

-19 = -19

Good! Because both sides are equal

The first option gives you 0 = 16 (not true)

Third gives you 2 = 17 (not true)

Last one gives you 0 = -3 (not true)

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Maggie's brother is 4 years younger than four times her age. The sum of their ages is 26.
Gelneren [198K]

Answer:

Maggie is 6 years old

Step-by-step explanation:

M + B = 26

B = 26 - M

4M - 4 = B

4M - 4 = 26 - M

5M = 30

M = 6

Maggie is 6 years old

3 0
3 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

7 0
3 years ago
Draw a picture of the standard normal curve and shade the area that corresponds to the requested probabilities. Then use the sta
elena-14-01-66 [18.8K]

Answer:

a)P [ z > 1,38 ] = 0,08379

b) P [ 1,233 < z < 2,43 ]  = 0,1012

c)  P [ z > -2,43 ]  = 0,99245

Step-by-step explanation:

a) P [ z > 1,38 ] = 1 -  P [ z < 1,38 ]

From z-table  P [ z < 1,38 ] = 0,91621

P [ z > 1,38 ] = 1 - 0,91621

P [ z > 1,38 ] = 0,08379

b)  P [ 1,233 - 2,43 ]  must be  P [ 1,233 < z < 2,43 ]

P [ 1,233 < z < 2,43 ]  = P [ z < 2,43 ] - P [ z > 1,233 ]

P [ z < 2,43 ]  = 0,99245

P [ z > 1,233 ] = 0,89125    ( approximated value  without interpolation)

Then

P [ 1,233 < z < 2,43 ]  = 0,99245 - 0,89125

P [ 1,233 < z < 2,43 ]  = 0,1012

c) P [ z > -2,43 ]

Fom z-table

P [ z > -2,43 ] = 1 - P [ z < -2,43 ]

P [ z > -2,43 ] = 1 - 0,00755

P [ z > -2,43 ]  = 0,99245

8 0
3 years ago
Please help! serious answers only
vovangra [49]
I believe also 115 degrees bc they’re vertical angles
5 0
2 years ago
Read 2 more answers
A chef uses 2 tablespoons of olive oil for every 3 tablespoons of butter. How much olive oil is needed for each tablespoon of bu
BigorU [14]

Answer: 2/3

Step-by-step explanation: You take the 2 and divided it by 3 but your going to get a long decimal so you can put it into a fraction of 2/3

6 0
3 years ago
Read 2 more answers
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