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Iteru [2.4K]
3 years ago
5

What conclusion can be drawn by observing that 20 is to the right of 10 on a number line?

Mathematics
1 answer:
mixas84 [53]3 years ago
8 0
That 10 is a smaller number then 20
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What product is positive ?​
s344n2d4d5 [400]
<h3>Answer: Choice D</h3>

=======================================================

Explanation:

The long way to do this is to multiply all the fractions out by hand, or use a calculator to make shorter work of this.

The shortest way is to simply count how many negative signs each expression has.

The rule is: if there are an even number of negative signs, then the product will be positive. Otherwise, the product is negative.

For choice A, we have 3 negative signs. The result (whatever number it is) is negative. Choice B is a similar story. Choice C is also negative because we have 1 negative sign. Choices A through C have an odd number of negative signs.

Only choice D has an even number of negative signs. The two negatives multiply to cancel to a positive. The negative is like undoing the positive. So two negatives just undo each other. This is why the multiplied version of choice D will be some positive number.

Or you can think of it as opposites. If you are looking up (positive direction) and say "do the opposite" then you must look down (negative direction). Then if you say "do the opposite", then you must look back up in the positive direction.

5 0
3 years ago
Determine the values of the variables in isosceles trapezoid CHLE below.
Alex73 [517]

Answer:

The values of variables x and m are 11 and 17

Step-by-step explanation:

The question has missing details as the diagram of the trapezoid isn't attached.

(See attachment).

Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)

And

The angles at the top are also equal

8m = 11x + 15

At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..

The sum of interior= 360

So,

11x + 15 + 8m + 4x + 4x = 360

Collect like terms

11x + 4x + 4x + 8m = 360 - 15

19x + 8m = 345

Substitute 11x + 15 for 8m

19x + 11x + 15 = 345

30x + 15 = 345

30x = 345 - 15

30x = 330

Divide through by 30

30x/30 = 330/30

x = 11

Recall that 8m = 11x + 15;

8m = 11(11) + 15

8m = 121 + 15

8m = 136

Divide through by 8

8m/8 = 136/8

m = 17

Hence, the values of variables x and m are 11 and 17

7 0
2 years ago
The probability that a student uses Smarthinking Online Tutoring on a regular basis is 0.31 . In a group of 21 students, what is
Ivenika [448]

Answer: 0.0241

Step-by-step explanation:

This is solved using the probability distribution formula for random variables where the combination formula for selection is used to determine the probability of these random variables occurring. This formula is denoted by:

P(X=r) = nCr × p^r × q^n-r

Where:

n = number of sampled variable which in this case = 21

r = variable outcome being determined which in this case = 5

p = probability of success of the variable which in this case = 0.31

q= 1- p = 1 - 0.31 = 0.69

P(X=5) = 21C5 × 0.31^5 × 0.69^16

P(X=5) = 0.0241

4 0
3 years ago
If y = 3x+b intersects y= mx +3 at (2, 3), find the value of b and m.
Darina [25.2K]

Answer:

The value of b is -3 and m is 0.

Step-by-step explanation:

You have to substitute the coordinates into both equation in order to find m and b value :

Find m,

y = mx + 3

At (2,3),

3 = m(2) + 3

3 - 3 = 2m

2m = 0

m = 0

Find b,

y = 3x + b

At (2,3),

3 = 3(2) + b

b + 6 = 3

b = 3 - 6

b =  - 3

3 0
2 years ago
Read 2 more answers
Sᴇʟᴀᴍᴀᴛ sᴏʀᴇ sᴇᴍᴜᴀɴʏᴀ....<br>ᑭOIᑎT ᘜᖇᗩTIՏ ᑌᑎTᑌK Տᗴᗰᑌᗩ ᑌ,ᑌ<br>ᶠᵒˡˡᵒʷ ᵐᵉ =&gt; ᶠᵒˡˡᵒʷᵇᵃᶜᵏ .​
enyata [817]

Answer:

ok

Step-by-step explanation:

7 0
3 years ago
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