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Alborosie
3 years ago
11

Systems of equations with different slopes and different y-intercepts have one solution. Plzzz explain

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
Y=2x+4, the slope is 2, A(0,4)-y intercept
y=x+2, the slope is 1, B (0,2)- y intercept

the system is 2x-y=-4
                      -x+y= 2
                     -----------
                       x= -2
                        y=0   is the solution ( only one)
 
   


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Please help me idk this
Pachacha [2.7K]

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4 0
3 years ago
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What is the z-score of a newborn who weighs 4,000 g?.
vagabundo [1.1K]

The z-score of the considered newborn having 4,000 g weight is \dfrac{4000 - \mu}{\sigma}

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

X \sim N(\mu, \sigma)

(X is following normal distribution with mean \mu and standard deviation  \sigma)

then it can be converted to standard normal distribution as

Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

P(Z \leq z) = P(Z < z) )

Also, know that if we look for Z = z in z tables, the p value we get is

P(Z \leq z) = \rm p \: value

For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.

Thus, for them, we can consider variables in place of their actual values.

Let we have:

  • X = weights of newborns for some considered system (in grams)
  • \mu = mean weight of newborns (in grams)
  • \sigma = standard deviation of the data set of weights of newborns

Then, the z-score for X = 4000 is

z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}

Thus, the z-score of the considered newborn having 4,000 g weight is \dfrac{4000 - \mu}{\sigma}

Learn more about z-scores here:

brainly.com/question/13299273

3 0
2 years ago
This is area of shaded region and i really need your help pls...
aalyn [17]

Answer:

4925cm^2

Step-by-step explanation:

whole thing - small thing = shaded

small = 25 x 25 = 625

whole thing = a+b / 2 x h     =    111+111/2 x 50 = 5550

5550-625= 4925cm^2

6 0
3 years ago
What number can go into 4 and 33​
Alex787 [66]

Answer:

Step-by-step explanation:

1 my dude

8 0
3 years ago
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