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Aleksandr-060686 [28]
3 years ago
6

Find the slope given: (1,5) & (3,12) m =

Mathematics
2 answers:
ozzi3 years ago
7 0

Answer:

\frac{7}{2}

Step-by-step explanation:

Slope, or the Rise/run formula is typically used on the coordinate plane to figure the equation of a line. Although we are not given the direct image, we can still determine the slope by using the following formula:

slope=\frac{rise}{run} =\frac{y_{2} -y_{1}  }{x_{2} -x_{1} } \\=\frac{12-5}{3-1} \\=\frac{7}{2} \\slope=\frac{7}{2}

I would be ahppy to help you again in the future, and hope that this answer gives you some clarification :D

e-lub [12.9K]3 years ago
3 0

Answer:

Rise (y) over Run (x)

12-5

------

3-1

7/2=m

Step-by-step explanation:

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a fair coin is flipped 10 times. what is the probability of getting the same number of heads and tails
Dafna11 [192]

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = \frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}≈ 0.246

So the probability of that is 24,6 %

Good Luck

3 0
2 years ago
A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10. She sells each orchid bouquet for $25 and ea
Veseljchak [2.6K]

Answer:

270 flowers total she sell Together.

Step-by-step explanation:

According to the Question,

  • Given, A florist arranges some orchids in bouquets of 20 and some roses in bouquets of 10.

Let, x = number of orchid bunches & y = number of rose bunches.

  • Now, She sells each orchid bouquet for $25 and each rose bouquet for $30. She earns a total of $390

Therefore, 25x + 30y = 390 ⇒⇒ Equation 1  

she sells 4 times as many orchid bunches as rose bunches,

Therefore,  x = 4y  ⇒⇒ Equation 2

  • Put The Value Of Equation 2 in Equation 1, We get

25 × (4y) + 30y = 390  

100y + 30y = 390

130y = 390  ⇔ y = 390 / 130 ⇒ 3  

if y = 3, then x = 4y must be equal to x= 12.

Thus, she sold 12 orchid bunches and 3 rose bunches.

  • Verify, 25x + 30y = 390 ⇔ 12 × 25 + 3 × 30 = 390 (All okay)

Now, Each orchid bunch contains 20 flowers and each rose bunch contains 10 flowers.

  • 12 × 20 + 3 × 10 = 240 + 30 ⇔ 270 flowers total she sell Together.
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