6/42 in simplest form :
Divide both the nominator and the denominator by the HCF (highest common factor) : 6
6/42 = 6:6/42:6 = 1/7
The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
According to the question,
We have the following information:
We have two lines that are intersecting each other at a point. The angles made on this point are given.
Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.
So, we will have the following equation:
3x-1 = 140
Now, we can easily find the value of x from this equation:
Adding 1 on both sides of the equation:
3x = 140+1
3x = 141
Dividing by 3 on both sides:
x = 141/3
x = 47°
Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
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Answer:
solution below
Step-by-step explanation:
The question says 6 working mother's were selected so <u>n = 6</u><u> </u><u>not</u><u> </u><u>0</u><u>.</u><u>6</u>
We are expected to find
P(X = 0,1,2,3,4,4,6)
1. <u>When x = 0</u>
6C0*(0.34)⁰*(0.66)⁶
= 1 *1* 0.827
= 0.0827
<u>2. When X = 1</u>
6C1*(0.34)¹*(0.66)⁵
= 6 x 0.34 x 0.252
= 0.2555
<u>3. When X = 2</u>
6C2*(0.34)²*(0.66)⁴
= 15 x 0.1156 x 0.1897
= 0.3289
<u>4. When x = 3</u>
6C3*(0.34)³*(0.66)³
20 x 0.039304 x 0.2875
= 0.2599
<u>5. When X = 4</u>
6C4*(0.34)⁴*(0.66)²
= 15 x 0.01336 x 0.4356
= 0.8729
<u>6. When x = 5</u>
6C5*(0.34)⁵*(0.66)¹
= 6 x 0.0045 x 0.66
= 0.01782
<u>7. When x = 6</u>
6C6*(0.34)⁶*(0.66)⁰
1 x 0.0015 x 1
= 0.0015
Answer:
x = 3/4 or 0.75
Step-by-step explanation:
Break the bracket out and you will get:
3(5x – 4) – 2 = 10 – 3x
= 3*5x - 3*4 - 2 = 10 - 3x
= 15x - 12 -2 = 10 -3x
Add 3x into both sides and subtract 12 and subtract 2 in both sides, we get:
15x + 3x - 12 - 2 + 12 - 2 = 10 - 3x + 3x + 12 + 2
18x = 24
Divide both side by 18, we get:
18x/18 = 24/18
x = 24/18 = 3/4 or 0.75
Hope this helped :3
