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iren [92.7K]
4 years ago
5

Find the equation of the line ​

Mathematics
1 answer:
Artyom0805 [142]4 years ago
4 0

Answer:

y=2/3x+4

Step-by-step explanation:

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You know how decimals are really long to write, like 0.00000000089?  Well, with scientific notation, you can shorten them.  Take the decimal I wrote for instance.  Using scientific notation, I can change it to 8.9 * 10^-10.  The decimal is shortened, and according to the exponent, 10^-10, we move the decimal place for 8.9 to the left ten places, leaving us with 0.00000000089.  

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3 years ago
1 Suppose you choose at random a real number X from the interval [2, 10]. (a) Find the density function f(x) and the probability
antoniya [11.8K]

Answer:

Step-by-step explanation:

Given that you choose at random a real number X from the interval [2, 10].

a) Since this is a contnuous interval with all number in between equally likely

E = probability for choosing a real number is U(2,10)

pdf of E is \frac{1}{8}

b) P(X>5) = \int\limits^10_5 {1/8} \, dx = \frac{5}{8}

P(5

For

x^2-12x+35 >0\\(x-5)(x-7)>0\\x7

P(X<5 or x>7) = 1-P(5<x<7)

= \frac{3}{4}

4 0
3 years ago
what is the coordinate of the vertex of the parabola y-2=1/12(x+10) a. ( 10,-2) b. (-10,2) c. (-2,10) d. (2.-10)
solniwko [45]

Answer:

y-a= c(x-b)^2

With the vertex V= (b,a)

We see that b = -10 and a = 2 and then the vertes wuld be:

V= (-10,2)

And the best option is:

b. (-10,2)

Step-by-step explanation:

For this problem we have the following function:

y-2 = \frac{1}{2} (x+10)

And if we compare this expression with the general expression for a parabola given by:

y-a= c(x-b)^2

With the vertex V= (b,a)

We see that b = -10 and a = 2 and then the vertes wuld be:

V= (-10,2)

And the best option is:

b. (-10,2)

4 0
3 years ago
How to solve. 3r+2(12r+7)less than or equal to 5r-8
natita [175]
The answer to the question

8 0
3 years ago
F(n+1)=-0.5f(n) of the first term in the sequence is 120 what is f(5)?
Vedmedyk [2.9K]

f(5) = 0.5^(5-1)*f(1) = 0.5^4 * 120 = 7.5

6 0
3 years ago
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