Explanation and working too please :))
1 answer:
Answer:
Each side is 4 cm.
Step-by-step explanation:
We need to try to express the perimeter of the figure in terms of "square sides". Basically, we're going to count how many square sides the perimeter is.
Starting from the top, the very top is 1 side.
Moving down to the right, we have another side.
Then half a side as we go to the right edge.
The right edge is 1 full side.
Another half side, going left.
Going down, we have 1 full side.
The other side is mirrored, meaning we just have to double this to get the full figure's perimiter.
Counting up our sides (we'll call one side ), we have:
1s + 1s + 0.5s + 1s + 0.5s + 1s = 4s + 0.5s + 0.5s = 5s
Doubling it:
5s * 2 = 10s
The whole perimiter is 8 square sides. Since we know the perimeter is 40 cm, we can find the length of one side by solving this equation:
10s = 40
Dividing both sides by 10:
s = 40/10 = 4
Answer: Each side is 4 cm.
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Answer:
1.2%
Step-by-step explanation:
We are given that the students receive different versions of the math namely A, B, C and D.
So, the probability that a student receives version A = .
Thus, the probability that the student does not receive version A = =
.
So, the possibilities that at-least 3 out of 5 students receive version A are,
1) 3 receives version A and 2 does not receive version A
2) 4 receives version A and 1 does not receive version A
3) All 5 students receive version A
Then the probability that at-least 3 out of 5 students receive version A is given by,
+
+
=
=
=
=
= 0.01171875 × 1.0625
= 0.01245
Thus, the probability that at least 3 out of 5 students receive version A is 0.0124
So, in percent the probability is 0.0124 × 100 = 1.24%
To the nearest tenth, the required probability is 1.2%.
Answer:
$124 higher
Step-by-step explanation:
Given
Required
Represent the situation
Determine how much higher or lower is the remaining amount
Let the initial amount in his account be represented with x
When he deposited, the balance becomes
When he withdrew, the balance becomes
Hence, the algebraic expression is
Calculating how much higher or lower
Open bracket
Recall that the initial amount in the account is x
The difference between the balance and the x is as follows
<em>Hence, the account has a higher of $124 after both transactions</em>