<u><em>Answer:</em></u>
x can be any real number
<u><em>Explanation:</em></u>
<u>The given is:</u>
3(x-4) + x = 3(x-1) - 9 + x
<u>First, we get rid of the brackets.</u>
<u>This will give us:</u>
3x - 12 + x = 3x - 3 - 9 + x
<u>Then we combine line terms and solve for x as follows:</u>
3x - 12 + x = 3x - 3 - 9 + x
4x - 12 = 4x - 12
0 = 0
<u>This means that</u> for any value of x, the equation will be true
Therefore, x can be any real number
Hope this helps :)
Option B is the correct answer.
ΔWVS ≅ ΔWUT
Solution:
Given STUV is a rectangle.
To prove that ΔWVS ≅ ΔWUT:
Step 1: Given STUV is a rectangle.
Step 2: All the angles in the rectangle are right angles.
So that, ∠V = ∠U = 90°
Step 3: ∠V ≅ ∠U (Angle)
Step 4: All rectangles are parallelograms.
Therefore STUV is a parallelogram.
Step 5: In parallelogram opposite sides are congruent.
Therefore, SV ≅ TU (Side)
Step 6: Given WV ≅ WU (Side)
Step 7: From step 3, step 5 and step 6
ΔWVS ≅ ΔWUT by SAS congruence rule.
Option B is the correct answer.
Answer:
Step-by-step explanation:
1)The probability of success in each of the 58 identical engine tests is p=0.92
n = 58
mean, u = np = 58×0.92 = 53.36
2) The only value that would be considered usual for this distribution is 91. This is because it is the only value between the minimum and maximum value
3) n = 546
p = 17/100 = 0.17
Mean = np = 546×0.17= 92.82
4) n = 1035
p = 36/100 = 0.36
np = 1035 × 0.36 = 372.6
5) The probability of success is 0.2.
p = 0.2
q= 1-p = 1-0.2 = 0.8
n = 35
standard deviation =
√npq = √35×0.2×0.8 = 2.34
6) p = 0.25
q = 1-0.25 = 0.75
n = 5
Variance = npq = 5×0.25×0.75 = 0.9
7) n = 982
p = 0.431
q = 1 - p = 1 - 0.431 = 0.569
Variance = npq = 982×0.431×0.569= 240.8
8) n = 500
p = 84/100 = 0.84
q = 1-0.84 = 0.16
Standard deviation = √npq
Standard deviation = √500×0.84×0.16 = 8.2
Since the 90% is 63. divide it by 9. then you would get value of 7. then multiple it by 10.
which is equal to 70. so 100% is 70.
Answer:
The answer is 4
Step-by-step explanation:
2.7/3.0= 3.6/x
Cross multiply
2.7(x)= 3.6(3.0)
2.7x=10.8
Divide both sides by 2.7
x= 10.8/2.7
= 4