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quester [9]
2 years ago
12

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5

, - 4), A(2, - 1) , and M(5, 6) . Jim believes that he has created a rhombus but not a square. Prove that Jim is correct.
Mathematics
1 answer:
Crazy boy [7]2 years ago
5 0

Answer: yes Jim is correct

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This is the 4th question
gavmur [86]

Answer:

a) There are 9 outcomes.

b) **i have attached the tree diagram**

c) 1/9

d) 1/9

Step-by-step explanation:

Both events (choosing a shirt and choosing pants) are not mutually exclusive (disjoint). Meaning that both events can occur at the same time.

a) For a sequence of two events in which the first event can occur <em>m</em> ways and the second event can occur <em>n</em> ways, the events together can occur a total of <em>m</em> • <em>n</em> ways. So for this problem, you would do 3 • 3 which equals 9.

b) **tree diagram is attached**

c) Because there are two different events occurring (choosing a shirt and choosing pants) you need to multiply using the Multiplication Rule for Independent Events : P(A and B) = P(A) * P(B)

The probability of event A occurring (choosing a red shirt) is 1/3 and the probability of event B occurring (choosing brown pants) is also 1/3.

1/3 * 1/3 = 1/9

d) You would do the same thing here as part c.

The probability of event A occurring (choosing a blue shirt) is 1/3 and the probability of event B occurring (choosing blue pants) is again 1/3.

1/3 * 1/3 = 1/9

I hope this was helpful!! :)

4 0
2 years ago
Theres 30 kilograms of 10% apple juice. How many kilograms of apples does it need to increase the current apple juice to 25%​?
raketka [301]

The mass of the apple juice needed to increase the initial concentration to 25% is 45 kg

The given parameters;

  • <em>Mass of the apple juice, m = 30 kg</em>
  • <em>current percentage, = 10%</em>
  • <em>final percent after increment = 25%</em>

Let the mass added to increase the percentage to 30% = x

10% ----------------- 30 kg

25% ------------------ ?

= \frac{25 \times 30}{10} \\\\= 75 \ kg

The additional mass is calculated as;

x+ 30 = 75\\\\x = 75 - 30\\\\x = 45 \ kg

Thus, the mass of the apple juice needed to increase the initial concentration to 25% is 45 kg.

Learn more about percentage and ratio here: brainly.com/question/11752721

6 0
2 years ago
I dont understand these problems |×| - 1 &lt; 5 , 3x + 4 &lt;-2, 5x/7 -2=1, 9(2x+3)=10
Marta_Voda [28]
|x|-1
3 0
3 years ago
What is the slope of this line
Illusion [34]

Answer:

-8/5 is the slope.

Step-by-step explanation:

To find slope, it's the change in y over the change in x. Or rise over run.

That would be 8/5.

And this line would be negative because it is going from left to right.

So your final answer would be -8/5 as your slope.

3 0
3 years ago
My neighbors daughter was playing with a book and tore out the pages7,8,100,101,222 and 223. How many sheets did she tear out?
monitta

Answer:

6

Step-by-step explanation:

3 0
3 years ago
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