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irakobra [83]
2 years ago
14

Given that the points ( 16 , − 5 ) and ( − 40 , 16 ) lie on a line, what is the equation of the line? Select two answer.

Mathematics
1 answer:
djyliett [7]2 years ago
4 0

Answer:

The equation of line with given points is  Y  = - \frac{3}{8} X + 1

Step-by-step explanation:

Given as :

The points are ( 16 , - 5 )    And ( -40 , 16 )

The line equation in points form :

Y - y1  = m ( X - x1)

Where m is the slope of line

Now , m = \frac{y2 - y1}{x2 - x1}

Or,     m = \frac{16 +5}{-40 - 16}

Or,     m =   \frac{21}{- 56}

SO, Y + 5  = m ( X - 16)

Put the value of slope

∴    Y + 5 = \frac{21}{-56} ( X - 16)

Or, ( - 56) × ( Y + 5 ) = 21 X - ( 21 × 16 )

Or,  - 56 Y - 280 = 21 X - 336

Or,   - 280 + 336 = 21 X + 56 Y

Or,    56  = 21 X + 56 Y

∴       Y  = - \frac{21}{56} X + 1

Or,      Y  = - \frac{3}{8} X + 1

Hence The equation of line with given points is  Y  = - \frac{3}{8} X + 1  Answer

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vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107

Then,

P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007

c) In this case, the distribution is B(1200,0.01)

P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366

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2 years ago
The equation cos super negative 1 (StartFraction 3.4 Over 10 EndFraction)equals x can be used to determine the measure of angle
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Answer:

70 degrees

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cos^{-1} \frac{3.4}{10}=x

This implies that:  cos x=  \frac{3.4}{10}Recall: cos x=\frac{adjacent}{hypotenuse}

From the diagram

Angle CAB,  x=cos^{-1} \frac{3.4}{10}=70.1 degrees=70 (to the nearest degree)

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2 years ago
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Answer:

x= 2.6

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Isolate the variable by dividing each side by factors that don't contain the variable.

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Power
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qaws [65]

Answer: idk

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idk

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