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Troyanec [42]
3 years ago
12

Find the slope-intercept form of the equation of the line passing through the given points. (1, 1), (7, − 1 4 )

Mathematics
1 answer:
Serga [27]3 years ago
6 0
Slope = (-14-1)/(7-1) = -15/6 

y = mx + c
y = -15/6 x + c
at (1,1)
1 =-15/6(1) + c
c = 1 + 15/6 = 21/6

y = -15/6 x + 21/6 or
6y = -15x + 21 

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Question 9 Of 1000 randomly selected cases of lung cancer, 841 resulted in death within 10 years. Construct a 95% two-sided conf
givi [52]

Answer:

0.818335 ≤ p ≤ 0.86366

Step-by-step explanation:

Given that:

Sample size (n) = 1000

Positive lung cancer = 841

n(p) = 841, p(p) = 841/1000 = 0.841

n(1 - p) = 1000 - 841 = 159

1 - p = 0.159

95% confidence interval

For a 95% confidence interval : z = 1.96

P ± z√p(1-p) / n

0.841 ± 1.96 * √0.841(0.159) / 1000

0.841 - (1.96 * 0.0115636) = 0.818335344

0.841 + (1.96 * 0.0115636) = 0.863664656

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4 0
3 years ago
In 1950, Town A had a population of 200 people and the population increased by 200 people each year. In 1950, Town B had a popul
schepotkina [342]

Answer:

Town B will eventually overtake Town A

in 1990 Town B will have a larger population

Step-by-step explanation:

To work out how big town A will be in 1990 you need to do 200 + (200x40) because you add 40 years worth of increased population onto the starting population

To work out how big town B will be in 1990 you need to use the equation 200 X 1.1^40 because to work out plus 10 percent you need to do 1.1 and do it to the power of 40 for how many years

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4 0
2 years ago
Use the distributive property to simplify 5(w + 6) =
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Answer:

5w+30

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3 0
2 years ago
Please answer with process
laila [671]

\mathsf{Given : a - b = 5}

\mathsf{Squaring\;on\;both\;sides,\;we\;get :}

\mathsf{\implies (a - b)^2 = 5^2}

\mathsf{\implies a^2 + b^2 - 2(a.b) = 25}

\mathsf{Given : a^2 + b^2 = 29}

\mathsf{\implies 29 - 2(a.b) = 25}

\mathsf{\implies 2(a.b) = 29 - 25}

\mathsf{\implies 2(a.b) = 4}

\mathsf{\implies (a.b) = 2}

6 0
3 years ago
Which polynomial is twice the sum of 4x^2 – 1 + 1 and - 6x^2+ x - 4?
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Answer:

3

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8 0
3 years ago
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