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3 years ago

Give the slope of each of the following lines Name a point on each line y+2=2/3 (x-4)

Mathematics

1 answer:

Effectus [21]3 years ago

4 0

Answer:

See answer below

Step-by-step explanation:

y + 2 = 2/3(x - 4)

y + 2 = 2/3x - 8/3

y = 2/3x - 8/3 - 2

y = 2/3x - 2 2/3 - 2

y = 2/3x - 4 2/3 or y = 2/3x - 14/3

Slope = 2/3

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A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 9%

umka21 [38]

Answer:

a) $P(Current year and last year)=0.15x0.09=0.0135=1.35\%$

b) $P(Last year U Current year)=0.09+0.08-0.0135=0.1565=15.65\%$

Step-by-step explanation:

Conditional probability is the probability of one event occurring with some relationship to one or more other events.

The total probability rule (or the Law of Total Probability) breaks up probability calculations into distinct parts. P(AUB)=P(A)+P(B)-P(A and B)

The general multiplication rule formula is: P(A ∩ B) = P(A) P(B|A)=P(B)P(A|B)

We have the following probabilities:

$P(Lastyear)=0.09=9\%$

$P(Currentyear)=0.08=8\%$

$P(Currentyear | Lastyear)=0.15=15\%$

Part a

We can use this multiplication rule:

$P(A and B)=P(B|A)(A)=P(A|B)P(B)$

For this part we want this probability:

$P(Current year and last year)=P(Current year|Last year)P(Last year)$

And if we replace we got:

$P(Current year and last year)=0.15x0.09=0.0135=1.35\%$

Part b

For this part we want the probability of one event in last year OR one event on the current year, so we can use the probability addition of events:

$P(AUB)=P(A)+P(B)-P(A and B)$

And for our case we have:

$P(Last year U Current year) = P(Last year)+P(Current year)-P(Last year and Current year)$

$P(Last year U Current year)=0.09+0.08-0.0135=0.1565=15.65\%$

6 0

3 years ago

Pls help this is gonna help me pass

Elza [17]

Answer:

2(x+3)

Explanation:

2x+3x=2(x+3)

4 0

3 years ago

Help me out please its urgent

NemiM [27]

Answer:

B, E, H

Step-by-step explanation:

B. Pi is the circumference of a circle of diameter 1

E. Pi is the area of a circle of radius 1

H. Pi is the constant of proportionality relating the diameter of a circle to its circumference."

5 0

3 years ago

The annual net income of a company for the period 2007–2011 could be approximated by P(t) = 1.6t2 − 11t + 44 billion dollars (2

son4ous [18]

Answer:

$P'(t) = 3.2 t -11$

And we can set equal this derivate to 0 in order to find the critical point and we got:

$3.2 t-11= 0$

$t = \frac{11}{3.2}= 3.4375$

And we can calculate the second derivate and we got:

$P''(t) = 3.2 >0$

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

$P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094$

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094

Step-by-step explanation:

For this case we have the following function:

$P(t) = 1.6 t^2 -11t +44$

Where P represent the annual net income for the period 2007-2011 and $2 \leq t \leq 7$

And t represent the time in years since the start of 2005

In order to find the lowet income we need to use the derivate, given by:

$P'(t) = 3.2 t -11$

And we can set equal this derivate to 0 in order to find the critical point and we got:

$3.2 t-11= 0$

$t = \frac{11}{3.2}= 3.4375$

And we can calculate the second derivate and we got:

$P''(t) = 3.2 >0$

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

$P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094$

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094

5 0

3 years ago

Which statement best describes the conditions for f ( x ) = a ( b ) x to be a model for exponential growth?

irina1246 [14]

Exponential functions grow is the base is greater than 1, while you have an exponential decay if the base is between 0 and 1. Finally, exponentials are not defined, as real functions, if the base is negative.

So, the answer is D, b > 1

6 0

3 years ago

Read 2 more answers