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What is the slope of the line that passes through the points (-3, 5) and (1, 7)?

Stells [14]

Answer: The slope of the line is $\frac{1}{2}$

Step-by-step explanation:

The slope of a line can be calculated with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then, given the points $(-3, 5)$ and $(1, 7)$ , you can identify that:

$y_2=5\\y_1=7\\\\x_2=-3\\x_1=1$

Knowing these values you can substitute them into the formula for calculate the slope:

$m=\frac{5-7}{-3-1}$

Finally, evaluating, you get that the slope of that line is:

$m=\frac{-2}{-4}\\\\m=\frac{1}{2}$

8 0

3 years ago

What is the expression l x w represent

zzz [600]

Im pretty sure it is length times width :)

4 0

2 years ago

At an airport, 76% of recent flights have arrived on time. A sample of 11 flights is studied. Find the probability that no more

I am Lyosha [343]

Answer:

The probability is $P( X \le 4 ) = 0.0054$

Step-by-step explanation:

From the question we are told that

The percentage that are on time is p = 0.76

The sample size is n = 11

Generally the percentage that are not on time is

$q = 1- p$

$q = 1- 0.76$

$q = 0.24$

The probability that no more than 4 of them were on time is mathematically represented as

$P( X \le 4 ) = P(1 ) + P(2) + P(3) + P(4)$

=> $P( X \le 4 ) = \left n } \atop {}} \right.C_1 p^{1} q^{n- 1} + \left n } \atop {}} \right.C_2p^{2} q^{n- 2} + \left n } \atop {}} \right.C_3 p^{3} q^{n- 3} + \left n } \atop {}} \right.C_4 p^{4} q^{n- 4}$

$P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{11- 1} + \left 11 } \atop {}} \right.C_2p^{2} q^{11- 2} + \left 11 } \atop {}} \right.C_3 p^{3} q^{11- 3} + \left 11 } \atop {}} \right.C_4 p^{4} q^{11- 4}$

$P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{10} + \left 11 } \atop {}} \right.C_2p^{2} q^{9} + \left 11 } \atop {}} \right.C_3 p^{3} q^{8} + \left 11 } \atop {}} \right.C_4 p^{4} q^{7}$

$= \frac{11! }{ 10! 1!} (0.76)^{1} (0.24)^{10} + \frac{11!}{9! 2!} (0.76)^2 (0.24)^{9} + \frac{11!}{8! 3!} (0.76)^{3} (0.24)^{8} + \frac{11!}{7!4!} (0.76)^{4} (0.24)^{7}$

$P( X \le 4 ) = 0.0054$

4 0

2 years ago

Pls helpppppppppppppp

OLEGan [10]

Answer/Step-by-step explanation:

The following steps to solve equation given by join are shown below including the property of numbers applied for each reasons:

4(2a + 3) = -3(a - 1) + 31 - 11a ----› Given

Apply the distributive property to open the parentheses

4*2a + 4*3 = -3*a -3*-1 + 31 - 11a

8a + 12 = -3a + 3 + 31 - 11a ----› Distributive property

Combine like terms together

8a + 12 = 3 + 31 -3a - 11a

8a + 12 = 34 - 14a ---› Combining like terms

Add 14a to both sides

8a + 12 + 14a = 34 - 14a + 14a

22a + 12 = 34 ----› Addition property

Subtract 12 from both sides

22a + 12 - 12 = 34 - 12

22a = 22 ----› subtraction property of equality

Divide both sides by 22

22a/22 = 22/22

a = 1 ----› Division property of Equality

7 0

2 years ago

How do you solve this

alekssr [168]

5/(6x-2)=-1/(x+1)
You have to multiply both sides by the denominators so it becomes:
5*(x+1)=-1*(6x-2)
5x+5=-6x+2
3=x

This applies to the second one as well, if you need any more help, feel free to message me :)

8 0

3 years ago

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