The linear equation that passes through the points (0, 3) and (-4, 0) is:
y = (3/4)*x + 3
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How to find the linear equation?</h3>
A general linear equation in the slope-intercept form is written as:
y = m*x + b
Where y and x are the variables, m is the slope, and b is the y-intercept.
Here we know that the y-intercept is (0, 3), then we have b = 3, replacing that in the equation above we will get:
y = m*x + 3
Now we also know that the line passes through the point (-4, 0), replacing these values in the equation above we can find the value of the slope:
0 = m*-4 + 3
m*4 = 3
m = 3/4
Then the linear equation is:
y = (3/4)*x + 3
Learn more about linear equations.
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Answer:
x = 2
Step-by-step explanation:
x-1.4=0.6
x = 0.6+1.4
x = 2
Answer: 16
Step-by-step: | 10+(-6)|
It is 10+6
Answer:3*3*3*3*3=243
Step-by-step explanation:
Given:
p = 47% = 0.47, the probability that a man considers himself a professional baseball fan.
q = 1 - p = 0.53, the probability that a man does not consider himself a professional baseball fan.
n = 10, the number of men surveyed.
(a) Calculate the probability that exactly 5 of 10 men surveyed consider themselves as professional baseball fans.
P(5 of 10) = ₁₀C₅ p⁵q⁵ = 252*0.47⁵*0.53⁵ = 0.242
Answer: 0.242 or 24.2%
(b) Calculate the probability of at least 6 out of 10.
P(at least 6 of 10)
= ₁₀C₆ p⁶q⁴ + ₁₀C₇ p⁷q³ + ₁₀C₈ p⁸q² + ₁₀C₉ p⁹q + ₁₀C₁₀ p¹⁰ q⁰
= 0.1786 + 0.0905 + 0.0301 + 0.0059 + 0.0
= 0.3057
Answer: 0.3057 or 30.6%
(c) Calculate the probability of less than 4 of 10.
P(less than 4 of 10)
= ₁₀C₁ pq⁹ + ₁₀C₂ p²q⁸ + ₁₀C₃ p³q⁷
= 0.0155 + 0.0619 + 0.1464
= 0.2238
Answer: 0.2238 or 22.4%