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tigry1 [53]
4 years ago
12

I need the answers plz

Mathematics
1 answer:
enyata [817]4 years ago
4 0
In order to simplify an expression you have to have the same variables, to the same power.

1a) There are no more H's or numbers without a variable.

1b) The variables do not match.

1c) The variable is to a different power so it can't be simplified.

So to simplify you combine your "like terms"

2a,b, and c are correct :)

2d) already simplified

2e) since the variables are the same, just focus on the numbers (x=h since it won't let me use it) answer: 6x
10x - 4x \\ 10 - 4 = 6 \\ 6x
2g) For this one 9 has no variable and no like terms, so it stays by itself, just focus on the a's (x=a) answer: 9+4x
9 + 7x - 3x \\ 7 - 3 = 4 \\ 9 + 4x
2j) answer: 11y^2+5y
8y + 6y {}^{2}  - 3y + 5y {}^{2}  \\ 8y - 3y = 5y \\ 6y {}^{2}  { + 5y} {}^{2}  = 11y {}^{2}  \\ 11y {}^{2} + 5y



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According to records from a large public university, 88% of students who graduate from the university successfully find employme
erastovalidia [21]

Answer:

0.9842 = 98.42% probability that at least six of them find employment in their chosen field within three months.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they found employment, or they did not. The probability of a student finding employment is independent of any other student, which means that the binomial probability distribution is used 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.

88% of students who graduate from the university successfully find employment in their chosen field within three months of graduation.

This means that p = 0.88

Nine randomly selected students

This means that n = 9

What is the probability that of nine randomly selected students who have graduated from this university, at least six of them find employment in their chosen field within three months?

This is:

P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)

In which

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

P(X = 6) = C_{9,6}.(0.88)^{6}.(0.12)^{3} = 0.0674

P(X = 7) = C_{9,7}.(0.88)^{7}.(0.12)^{2} = 0.2119

P(X = 8) = C_{9,8}.(0.88)^{8}.(0.12)^{1} = 0.3884

P(X = 9) = C_{9,9}.(0.88)^{9}.(0.12)^{0} = 0.3165

Then

P(X \geq 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) = 0.0674 + 0.2119 + 0.3884 + 0.3165 = 0.9842

0.9842 = 98.42% probability that at least six of them find employment in their chosen field within three months.

4 0
3 years ago
What is the mean, median and mode for...45,50,55,55,55,60,60,60,65,65,70?
Alexxx [7]

Answer:

Mean = 58.18

Median = 60

Modes = 55 and 60

Step-by-step explanation:

To find the mean/average, add up all the numbers and divide the sum by the # of numbers there are (ex. there are 11 numbers so divide the sum by 11).

The median is the middle number of a set.  In this case, the middle number is easy to see because the # of numbers is odd, but if it was even, just find the average of the two middle numbers.

The mode is/are the most frequent number(s) in the set.  In this set, the numbers that appear the most are 55 and 60.

8 0
3 years ago
In the polynomial g(x) defined, c is a constant. If g(x) is divisible by x, what is the value of c? g(x) = 2(x2 + 14x + 7) − 7(x
pshichka [43]

Answer:

c=2

Step-by-step explanation:

Step 1

The first step is to simplify expand the the equation and collect like terms. This calculation is shown below,

g(x)=2\bigl(x^2+14x+7\bigr)-7(x+c)\\g(x)=2x^2+28x+14-7x-7c\\g(x)=2x^2+21x+14-7c\\g(x)=x(2x+21)+7(2-c).

Step 2

The second step is to realize that that x woll divide g only if the constant term is 0.

7(2-c)=0\\\implies 2-c=0\\\implies 2=c.

The value of c is 2


5 0
4 years ago
An aeroplane covers a certain distance at a speed of 240km/h in 5 hours. To cover the same distance in 1 2/3 hours, it must trav
shtirl [24]

Answer:

  720 kph

Step-by-step explanation:

The ratio of times is ...

  new time/original time = (1 2/3 h)/(5 h) = (5/3 h)/5 h) = 1/3

For the same distance, the ratio of speeds must be the inverse of this:

  new speed/original speed = s/240 = 1/(1/3) = 3

  s = 240(3) = 720 . . . . km/h

The aeroplane must travel at a speed of 720 km/h.

6 0
2 years ago
Write an equation for the proportional relationship shown in the table
Papessa [141]

Answer:

y =74x

Step-by-step explanation:

A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.

What do we do to the values in the row for x to get the values in the row of y?

It helps to have x = 1 in this table.

74 = (k)(1)

74 = k

8 0
3 years ago
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