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3 years ago

8

Solve the equation for y-3x+y=3

1 answer:

shusha [124]3 years ago

7 0

Answer:

$y=3x+3$

Step-by-step explanation:

$We\ are\ given\ that,\\-3x+y=3\\By\ adding\ both\ the\ sides\ with\ 3x\ we\ get,\\(-3x+y)+3x=(3)+3x\\Hence,\\-3x+y+3x=3x+3\\By\ cancelling\ -3x\ and\ 3x,\\y=3x+3$

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Suppose that the IQs of universityâ€‹ A's students can be described by a normal model with mean 140 and standard deviation 8 poi

AnnZ [28]

Answer:

0.0266, 0.9997,0.7856

Step-by-step explanation:

Given that the IQs of universityâ€‹ A's students can be described by a normal model with mean 140 and standard deviation 8 points. Also suppose that IQs of students from university B can be described by a normal model with mean 120 and standard deviation 11. Let x be the score by A students and Y the score of B.

A) $P(X>135) = \\P(Z>0.625)\\=0.0266$

B) Since X and Y are independent we have

X-Y is Normal with mean = 140-120 =20 and $Var (x-y)=Var(x)+Var(y) = 19$

$P(X-Y)>5\\\\=1-0.00029\\=0.9997$

C) For a group of 3, average has std deviation = $\frac{11}{\sqrt{3} } \\=6.351$

$P(\bar y >115)\\= P(z>\frac{-5}{6.351} \\=0.7856$

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3 years ago

What is the value of x (M5/6) (M1/6)square root of 7=mxsquare

egoroff_w [7]

Answer:

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Step-by-step explanation:

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3 years ago

An integer N is to be selected at random from {1, 2, ... , (10)3 } in the sense that each integer has the same probability of be

Andrej [43]

Answer:

Probability of N Divisible by 3 - 0.33

Probability of N Divisible by 5 - 0.2

Probability of N Divisible by 7 - 0.413

Probability of N Divisible by 15 - 0.066

Probability of N Divisible by 105 - 0.0095

Step-by-step explanation:

Given data:

Integer N {1,2,.....10^3}

Thus total number of ways by which 1000 is divisible by 3 i.e. 1000/3 = 333.3

Probability of N divisible by 3 {N%3 = 0 } $= \frac{333.3}{1000} = 0.33$

total number of ways by which 1000 is divisible by 5 i.e. 1000/5 = 200

Probability of N divisible by 5 {N%5 = 0 } $= \frac{200}{1000} = 0.2$

total number of ways by which 1000 is divisible by 7 i.e. 1000/7 = 142.857

Probability of N divisible by 7 {N%7 = 0 } $= \frac{142.857}{1000} = 0.413$

total number of ways by which 1000 is divisible by 15 i.e. 1000/15 = 66.667

Probability of N divisible by 15 {N%15 = 0 } $= \frac{66.667}{1000} = 0.066$

total number of ways by which 1000 is divisible by 105 i.e. 1000/105 = 9.52

Probability of N divisible by 105 {N%105 = 0 } $= \frac{9.52}{1000} = 0.0095$

similarly for N is selected from 1,2.....(10)^k where K is large then the N value. Therefore effect of k will remain same as previous part.

3 0

4 years ago

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Austin walks 1/3 of the way to school and stopped to rest. Devyn walks 2/6 of the way to the school and stops to rest who travel

r-ruslan [8.4K]

Answer:

Austin and Devyn.

Step-by-step explanation:

1/3 and 2/6 are equal fractions.

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3 years ago

The area of triangle ABC is __ square units.

shutvik [7]

Answer:

17.5

Step-by-step explanation:

(7)*(5)*(.5)= 17.5

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3 years ago

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