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Levart [38]
3 years ago
12

Enter equations one at a time in order to send a line through the coins to "capture" them.

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

y = x + 3

y = 3x + 1

Step-by-step explanation:

This does it in two equations.

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the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtai
Blababa [14]

Let X be the random variable for the number of marks a given student receives on the exam.

10% of students obtain more than 75 marks, so

P(X>75)=P\left(\dfrac{X-\mu}\sigma>\dfrac{75-\mu}\sigma\right)=P(Z>z_1)=0.10

where Z follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)

where F_Z(z)=P(Z\le z) denotes the CDF of Z, and F_Z^{-1} denotes the inverse CDF. We have

z_1=F_Z^{-1}(0.90)\approx1.2816

Similarly, because 20% of students obtain less than 40 marks, we have

P(X

so that

P(Z

Then \mu,\sigma are such that

\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma

\dfrac{40-\mu}\sigma\approx-0.8416\implies40\approx\mu-0.8416\sigma

and we find

\mu\approx53.8739,\sigma\approx16.4848

3 0
4 years ago
A line passes through (-2, 5) and has a slope of what is the equation of the line in point-slope form?
nirvana33 [79]
Y-5=m(x+2) is the answer in point slope form
7 0
3 years ago
Noelle can run 3 miles in the time it takes for Staycie to run 2 miles and Liam to run 1 mile. Noelle, Staycie, and Liam take pa
Mademuasel [1]

I didn't get to finishing the problem (I just got distracted from my exams lol) but here are the equations for each of the people, if it helps.

S=-6L-2n+198

L=-.25n+33

N=-3.2727L+118.8

Sorry I couldn't be of more help!

7 0
4 years ago
Put the following equation of a line into slope-intercept form, simplifying all fractions. 4y-4x= -28
V125BC [204]

Answer:

Y= x-7

Step-by-step explanation:

5 0
3 years ago
What are the values of A,B and C?<br><br> Please show all the work on how you got your answer
il63 [147K]

Answer:

a=35, b=14, c=5

Step-by-step explanation:

b+6=20, b+6-6=20-6, b=14

4c-6=14, 4c-6+6=14+6, 4c=20, 4c/4=20/4, c=5

a triangle's angles always add up to 180, 180-55-90(the square means right angle)=35

3 0
4 years ago
Read 2 more answers
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