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dsp73
2 years ago
9

Write the slope - intercept form of the equation of each line through the points -2,5) and (0,-2)​

Mathematics
1 answer:
grin007 [14]2 years ago
3 0
Gradient (m) = change in y/change in x
-2-5/0–2 = 3.5
gradient (m) = 3.5
Now evaluate one of the coordinates and the gradient in the equation
y = mx + c
-2 = 3.5(0) + c
c = -2
so the answer is
y = 3.5x -2
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Step-by-step explanation:

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3 years ago
Put these numbers from least to greatest value.<br> 22/7 , square root of 3, 16/4, square root of 5
Crank
From least to greatest is  square root of 3, square root of 5, 22/7 , 16/4 
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8 0
3 years ago
A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
8-2x&lt;4 solve inequality
Andreas93 [3]

Answer:

x > 2

x ∈ ( +2 ; + oo )

Step-by-step explanation:

8 - 2x < 4

8 - 4  < 2x

4 < 2x | : 2

2 < x

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6 0
3 years ago
I will give brainliest
Natasha_Volkova [10]

Answer:

  • 225°
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  • reference angle of 45°

Step-by-step explanation:

585-360= 225

225° is in quad 3

reference angle for quad 3 is

225° - 180°

3 0
3 years ago
Read 2 more answers
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