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finlep [7]
3 years ago
15

Solve the systems of equations y=2x and y=-x - 6

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

y = -4

x = -2

Step-by-step explanation:

Hi there...

y = 2x

y = -x - 6

Since why is equal to 2x, we can plug it in for y in the second equation. Here's what I mean...

2x = -x - 6

add x on both sides...

3x = -6

divide by 3 on both sides...

x = -2

Now, plug in x for y. Here's what I mean...

y = 2x

y = 2 (-2)

y = -4

Hope this helps :)

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60≥22+8x

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Jose bought 4.75 pounds of pecans at $5.80 per pound. how much did jose pay for the pecans​
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27.55

Step-by-step explanation:

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Solve for x. Assume that lines which appear to be diameters are actual diameters
VladimirAG [237]
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6 0
3 years ago
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers t
mihalych1998 [28]

Answer:

P(X=10)  = 0.1222

Step-by-step explanation:

Represent Green with G

So,

G = 50\%

Required

Determine the probability that 10 out of 16 prefer green

This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.

P(X=x)  = ^nC_xG^x(1-G)^{n-x}

In this case:

n = 16 -- number of people

x = 10 -- those that prefer green

So, the expression becomes:

P(X=10)  = ^{16}C_{10}G^{10}(1-G)^{16-10}

P(X=10)  = ^{16}C_{10}G^{10}(1-G)^{6}

Substitute 50% for G (Express as decimal)

P(X=10)  = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}

P(X=10)  = ^{16}C_{10}*0.50^{10}*0.50^{6}

Apply law of indices

P(X=10)  = ^{16}C_{10}*0.50^{10+6

P(X=10)  = ^{16}C_{10}*0.50^{16

Solve 16C10

P(X=10)  = \frac{16!}{(16-10)!10!} *0.50^{16

P(X=10)  = \frac{16!}{6!10!} *0.50^{16

P(X=10)  = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16

P(X=10)  = \frac{16*15*14*13*12*11}{6!} *0.50^{16

P(X=10)  = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16

P(X=10)  = \frac{5765760}{720} * 0.50^{16

P(X=10)  = 8008 * 0.50^{16

P(X=10)  = 8008 * 0.00001525878

P(X=10)  = 0.12219231024

P(X=10)  = 0.1222

<em>Hence, the required probability is 0.1222</em>

5 0
3 years ago
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