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Mademuasel [1]
3 years ago
11

parallelogram ABCD has vertices A(-2,-51/2), B(-4,-51/2), C(-3,-2), and D(-1,-2). find the vertices of parallelogram A'B'C'D' af

ter a translation of 2 1/2 units down.

Mathematics
1 answer:
Volgvan3 years ago
7 0
On a coordinate plane, any movement up and down is on the y-axis. So if your parallelogram is moving down 2.5 units, then the y-values of each vertice will go down by 2.5:
A(-2, -8), B(-4, -8), C(-3, -4.5), D(-1, -4.5)

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. There are 11 boys and 5 girls that tried out to
Lisa [10]

We want to find the probability that the two students chosen for the duet are boys. We will find that the probability that both students chosen for the duet are boys is 0.458

If we assume that the selection is totally random, then all the students have the same<em> </em><em>probability </em><em>of being chosen.</em>

This means that, for the first place in the duet, the probability of randomly selecting a boy is equal to the quotient between the number of boys and the total number of students, this is:

P = 11/16

For the second member of the duet we compute the probability in the same way, but this time there is one student less and one boy less (because one was already selected).

Q = 10/15

The joint probability (so both of these events happen together) is just the product of the individual probabilities, this will give:

Probability = P*Q = (11/16)*(10/15) = 0.458

So the probability that both students chosen for the duet are boys is 0.458

If you want to learn more, you can read:

brainly.com/question/1349408

5 0
2 years ago
Let a = 0.9876 and b = 0.9887 with N = 2, calculate the midpoint.
rodikova [14]

Answer:

For a=0.9876 and b=0.9887 mid point will be 0.98815

Step-by-step explanation:

We have given a = 0.9876 and b = 0.9887

And N = 2

We have to find the mid point

For finding mid point we know that formula

Midpoint =\frac{a+b}{2} , here we have given a=0.9876 and b = 0.9887

So midpoint will be =\frac{0.9876+0.9887}{2}=\frac{1.9763}{2}=0.98815

So for a=0.9876 and b=0.9887 mid point will be 0.98815

5 0
3 years ago
A textbook store sold a combined total of 289 sociology and math textbooks in a week. The number of math textbooks sold was 65 l
erica [24]

Answer:

Contradictrion

Step-by-step explanation:

First write an equation. If the total is 289, then that goes one the right side of the =. Sociology textbooks will be x. If there were 65 less than x, it will be 65-x. Lets set it up:

x + 65 -x =289

Then combine like terms.

65 = 289

There are no values of x that make the equation true. The input is a contradiction.

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<h2><u>NO ANSWER</u></h2>
8 0
3 years ago
Do u agree or disagree and why?
pshichka [43]

Answer:

Erm. i would disagree

Step-by-step explanation:

Because they don't look the same or anything like that.

4 0
3 years ago
Read 2 more answers
when you reverse the digits in a certain two-diget number you increase it value by 27. What is the number if the sum of its digi
Fynjy0 [20]
The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is =  x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27    ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y

9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4

x=5-y
x=5-4=1

The number is: 10x+y=10(1)+4=14

Answer: the number is 14
3 0
3 years ago
Read 2 more answers
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