THINK AND RELAX TAKE A DEEP BREATH
Answer:
x = 0 .
-20/19 (see below).
Step-by-step explanation:
√(x + 1) + √5x = √(7x + 1)
Squaring both sides:
x + 1 + 5x + 2√(x + 1)√5x = 7x + 1
2√(x + 1)√5x = 7x +1 - 1 - x - 5x = x
Squaring both sides:
4(x + 1)(5x) = x^2
20x^2 + 20x - x^2 = 0
19x^2 + 20x) = 0
x(19x + 20) = 0
x = 0, -20/19.
If we substitute x = 0 into the original equation we get
√(0 + 1) + √5*0 = √(7*0 + 1)
1 = 1 so this is a true solution.
-20/19 :- √(-20/19 + 1) is not real so unless we allow complex square root this is extraneous.
Answer:
That means that there´s a 0.01 of probability that the student is guessing.
Remember that the significance level is related to the strength of the evidence before rejecting the null hypothesis. The Significance level is the probability of rejecting the null hypothesis if it is true.
For example if the significance level is 0.03 it will indicate that there is a 3% of probability that students are guessing.
Lower significance levels indicate that you require stronger evidence before you will reject the null hypothesis.
So we can say that the teacher needs more evidence before rejecting the null hypothesis.
#1:
Solve:
-5/12 x 8/13 = -40/156
-40/156 can both be divided by 4: 40 ÷ 4 = 10 & 156 ÷ 4 = 39
Your final answer is: Option 2, -10/39
#2
Solve:
3/8 x (-3/6) you can first simplify 3/6 into 1/2 so-- 3/8 x (-1/2) = -3/16
Your answer is: -3/16
I've solved two of them for you, can you solve the rest on your own? (Reply if you need more answers)
Answer:
The perimeter of a parallelogram = 58 ft
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel and equal in length. Opposite angles are also equal.
Area of parallelogram = base × height
Area = 162 ft²
area = bh
b = ?
h = 9 ft
162 = 9b
divide both sides by 9
b = 162/9
b = 18 ft
The perimeter of a parallelogram = 2(b + s)
where
b = base
s = the other sides
The perimeter of the parallelogram = 2(b + s)
The perimeter of the parallelogram = 2(18 + 11)
The perimeter of the parallelogram = 2(29)
The perimeter of the parallelogram = 58 ft
