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Natalka [10]
3 years ago
6

Solve the system using elimination 4x-7y=3 x-7y=-15

Mathematics
2 answers:
BigorU [14]3 years ago
6 0
The answer is 6,3
.......
ehidna [41]3 years ago
5 0

Answer: x=6 and y=3

Step-by-step explanation:

4x - 7y = 3 -------(1)

x - 7y = -15 ------(2)

equation(1) - equation (2)

3x = 18

Divide bothside by 3

x = 18/3

x= 6

also, multiply equation (2) by 4

4x - 28y = -60--------------(3)

subtract equation(3) from equation(1)

21y = 63

divide bothside by 21

y = 63/21

y = 3

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Negate the conditional statement.
Tpy6a [65]

(not <em>a</em> or not <em>b</em>) implies <em>c</em>   <==>   not (not <em>a</em> or not <em>b</em>) or <em>c</em>

so negating gives

not [(not <em>a</em> or not <em>b</em>) implies <em>c</em>]   <==>   not[ not (not <em>a</em> or not <em>b</em>) or <em>c</em>]

which we can simplify somewhat to

not (not (not <em>a</em> or not <em>b</em>)) and not <em>c</em>

(not <em>a</em> or not <em>b</em>) and not <em>c</em>

(not <em>a</em> and not <em>c</em>) or (not <em>b</em> and not <em>c</em>)

not (<em>a</em> or <em>c</em>) or not (<em>b</em> or <em>c</em>)

not ((<em>a</em> or <em>c</em>) and (<em>b</em> or <em>c</em>))

not ((<em>a</em> and <em>b</em>) or <em>c</em>)

3 0
2 years ago
Since the area under the normal curve within two standard deviations of the mean is 0.95, the area under the normal curve that c
alukav5142 [94]

Answer:

X \sim N (\mu ,\sigma)

And for this case we know this condition:

P(\mu-2\sigma

By the complement rule we know that:

P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05

But since the distribution is symmetrical we know that:

P(X\mu +2\sigma) = 0.025

So then the statement for this case is FALSE.

b. False

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

For this case if we define the random variable of interest X and we know that this random variable follows a normal distribution:

X \sim N (\mu ,\sigma)

And for this case we know this condition:

P(\mu-2\sigma

By the complement rule we know that:

P(X< \mu -2\sigma \cup X>\mu +2\sigma) = 1-0.95=0.05

But since the distribution is symmetrical we know that:

P(X\mu +2\sigma) = 0.025

So then the statement for this case is FALSE.

b. False

5 0
3 years ago
Kate ran 4 miles. How far did she run in kilometers?
julia-pushkina [17]

Answer:

About 6.44 kilometers

Step-by-step explanation:

I mile is approximately 1.61 kilometers, so 4 miles would be 1.61 · 4 = 6.44 kilometers.

Hope this helps!

8 0
3 years ago
Somebody please answer quick
Papessa [141]
The third one is the answer
8 0
2 years ago
If f(x) = x+1 and g(x) =x^2, then gf(2) =
yKpoI14uk [10]

Answer:

g(f(2)) = 9

Step-by-step explanation:

Evaluate f(2) and substitute the value obtained into g(x)

f(2) = 2 + 1 = 3 , then

g(3) = 3² = 9

6 0
3 years ago
Read 2 more answers
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