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Komok [63]
3 years ago
8

{ Look at the first image. }

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

Question 1. Correct choice A

Question 2 Correct choice A

Step-by-step explanation:

To answer the first question, let's do the following operation, subtract the salary for n years of education with the salary for n-1 years of education:

(125.66x_{2}-846.3) - (125.66x_{1}-846.3)\\

Where:

x_{2} represents n years of education

x_{1} represents n-1 years of education.

Then, solving:

(125.66x_{2}-846.3) - (125.66x_{1}-846.3) = 125.66x_{2}-846.3-125.66x_{1} + 846.

= 125.66x_{2}-125.66x_{1}\\

= 125.66 (x_{2}-x_{1}) Since x_{2} is always a unit greater than x_{1}, its subtraction is always equal to 1.

= 125.66(1)\\ = 125.66

This result shows that the increase for an additional year of education is always equal to the value of the slope of the line, that is, $ 125.66. Therefore the correct option for this question is "A".

In cuano to the second question:

The intersection of the line with the y-axis occurs when the value of x is equal to zero, or in this case, when the years in the collage are 0.

This means that when there are no years of education in the collage, the salary is expected to be equal to the value of the intersection of the line with the axis y, that is, equal to 24,600 thousand dollars.

Then the correct option is A.

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42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0
almond37 [142]

Answer:

Step-by-step explanation:

The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21.  The positive nature of the discriminant tells us that there are two real, unequal roots.  Following the quadratic formula, we get:

       -3 ± √21

x = -----------------

              2

8 0
3 years ago
why does a truck take longer to accelerate to 100km/hr when its pulling a 1,000 kg trailer than when it isn't
Bingel [31]
Because it has more mass so with less mass it accelerates faster. That is newtons 2nd law of motion.
7 0
3 years ago
Wich of the following expressions are equivalent to - 2/3 ? select all that apply​
MrRa [10]

Answer:

A, C and E

Step-by-step explanation:

Simplify each expression to lowest terms. Equivalent expressions will be any expressions which are equal after simplifying to lowest terms.

A. -1/9 * 6 = -6/9 = -2/3

B. -15/10 = -3/2

C. 12/-18 = -2/3

D. -3/4 * 2/1 = -6/4 = -3/2

E. -8/9 * 3/4 = -24/36 = -2/3

7 0
3 years ago
A levee was designed to protect against floods with an annual exceedance probability of 0.02. A larger flood would cause the lev
LuckyWell [14K]

Answer:

66.76% probability that the levee will NEVER fail in the next 20 years.

Step-by-step explanation:

For each year, there are only two possible outcomes. Either a levee fails during the year, or no levees fail. In each year, the probabilities of levees failing are independent from each other. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In this problem we have that:

A levee was designed to protect against floods with an annual exceedance probability of 0.02. This means that p = 0.02

What is the risk that the levee will NEVER fail in the next 20 years?

This is P(X = 0) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{20,0}*(0.02)^{0}*.(0.98)^{20} = 0.6676

66.76% probability that the levee will NEVER fail in the next 20 years.

7 0
3 years ago
What is the value tan a ????
stich3 [128]

Where is this picture ?

5 0
3 years ago
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