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ira [324]
4 years ago
13

Find the midpoint of the line segment with the given endpoints (2,4), (1,-3)

Mathematics
1 answer:
RUDIKE [14]4 years ago
8 0

Answer:

(7,0)

Step-by-step explanation:

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Please help (. Square root and the Pythagorean theorem
lora16 [44]

Answer:

a²=15²-9²

a²=225-81

a²=144

a=12

5 0
4 years ago
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Determine the value of y is x is -10:<br> y=x-91+2
cestrela7 [59]

Answer:

y = x - 91 + 2 \\ x =  - 10 \\ y =  - 10 - 91 + 2 \\ y =  - 101 + 2 \\ x =  - 99

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3 years ago
1.5 more than the quation of a and 4 is b
Kruka [31]
I think it is (a+4=b)+1.5
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3 years ago
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Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability,
Maurinko [17]

Answer:

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that we use the binomial probability distribution to solve this question.

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.

Eight percent of all college graduates hired by companies stay with the same company for more than five years.

This means that p = 0.08

Sample of 11 college graduates:

This means that n = 11

The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001

The tolerance means that the answer is rounded to four decimal places.

The probability is P(X = 2). So

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

P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662

0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years

4 0
3 years ago
A straight line intersects the curved graph y=x^2-4x at the point where x=-1 and x=-2. Work out the equation of the straight lin
mestny [16]
Y = -7x - 2 Use the two points given to find the slope (m) m = (y2 - y1) / (x2 - x1) m = ( 12-5 ) / (-2 - (-1)) m = -7 Now we have y = -7x + b where 'b' is our y-intercept. We can solve for 'b' by choosing one of the (x,y) coordinate points and plugging them in. Let's choose the point (-1,5). Plug -1 in for 'x' and 5 in for 'y' and solve for 'b'. y = -7x + b 5 = -7(-1) + b b = -2 Final eqn: y = -7x - 2
7 0
3 years ago
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