2 years ago

1. 8x-2y = -24

Mathematics

1 answer:

mel-nik [20]2 years ago

7 0

Answer:

8x-2y = -24

Step-by-step explanation:

Slope = 34

Y-intercept = 7

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What is the slope of the line for BOTH graphs? Are the slopes the same or different?

Y_Kistochka [10]

Answer:

both are -10

Step-by-step explanation:

x1 y1 x2 y2

1.5 180 6 135

(Y2-Y1) (135)-(180)= -45 ΔY -45

(X2-X1) (6)-(1.5)= 4.5 ΔX 4.5

slope= -10

B= 195

Y =-10X +195

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

x1 y1 x2 y2

1 175 8 105

(Y2-Y1) (105)-(175)= -70 ΔY -70

(X2-X1) (8)-(1)= 7 ΔX 7

slope= -10

B= 185

Y =-10X +185

7 0

2 years ago

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe

-Dominant- [34]

Answer: 0.0031

Step-by-step explanation:

Binomial distribution formula :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes in the n independent trials of the experiment and p is the probability of success.

Given : A binomial probability experiment is conducted with the given parameters.

$n=9,\ p=0.8,\ x\leq3$

Now, $P(x\leq3)=P(3)+P(2)+P(1)+P(0)$

$=^9C_3(0.8)^3(1-0.8)^{9-3}+^9C_2(0.8)^2(1-0.8)^{9-2}+^9C_1(0.8)^1(1-0.8)^{9-1}+^9C_0(0.8)^0(1-0.8)^9\\\\=\dfrac{9!}{3!6!}(0.8)^3(0.2)^6+\dfrac{9!}{2!7!}(0.8)^2(0.2)^7+\dfrac{9!}{1!8!}(0.8)(0.2)^8+\dfrac{9!}{0!9!}(0.2)^9=0.003066368\approx0.0031$