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klemol [59]
3 years ago
6

It is your first semester at college and you take out a $5000 loan and in order to pay off that loan by the end of the semester

you have a monthly payment of $1250. Write and expression that represents the money you still owe for the semester after x months.
Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

5000-1250x

Step-by-step explanation:

All you need to do is find the amount of money you get paid a month and use variable x to represent the months and then subtract that from the money you need to pay off.

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Answer:

8 and 16

Step-by-step explanation:

16 + 8 = 24

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Write the slope intercept ​
mrs_skeptik [129]

Answer:

b = 4,

m = 4/3,

y = 4x/3 + 4

Step-by-step explanation:

We can see the line intercepts the x-axis in (-3,0) and the y-axis in (0,4). So, using the fact that the line equation in the slope-intercept form is:

y = mx+b

We can substitute the points we know:

→ (0,4):

y = mx+b\\\\4 = m\cdot0+b\\\\4 = 0+b\\\\\boxed{b=4}

→ (-3,0):

y = mx+b\\\\0 = -3m + 4\\\\3m = 4\\\\\boxed{m = \dfrac{4}{3}}

So, the line equation in form requested is:

\boxed{y=\dfrac{4}{3}x+4}

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3 years ago
Mitchell walked 5/12 of a mile in 1/2 of an hour. At this rate, how far could Mitchell walk in 1 hour?
vovangra [49]

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2 \times  \frac{1}{2} hour = 1hour \\

Thus ;

2 \times  \frac{5}{12}  \:  \: miles =  \frac{10}{12}  \:  \: miles = \frac{5}{6}  \:  \: miles  \\

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Answer:

23 + 0

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3 0
3 years ago
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

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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
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