Answer: 5x² + 13x - 6 = 0
Step-by-step explanation:
Represent the roots with X i.e.
X = -3 ; X = 2/5
Moving the values of X over the equator we have;
X + 3 = 0 ; 5X - 2 = 0
Equating both equations to zero we can obtain;
(X + 3)(5X - 2) = 0
Opening the brackets we get;
5x² - 2x + 15x - 6 = 0
The result of the above equation gives;
5x² + 13x - 6 = 0
Answer:
x=14
Step-by-step explanation:
8x-9+6x-7 = 180 (being adjacent angles)
14x-16 = 180
14x = 180+16
14x =196
x = 196/14
x =14
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Answer: 9 inches.
Do the pythagorean theorem to find your answer.
Formula: a^2 + b^2 = c2
12 = b
15 = c
a^2 + 12^2 = 15^2
Simplify the equation
a^2 + 144 = 225
Subtract 144 on both sides.
a^2 = 81
Square root of 81 is 9.
Answer: 2.5 times
Step-by-step explanation:
Given : The length of Chase’s bike ride= 
The length of Maddie’s bike ride=
In improper fraction : Length of Chase’s bike ride=
Similarly , Length of Maddie’s bike ride= 
The number of times the length of Chase’s bike ride was Maddie’s bike ride= 
Hence, the length of Chase’s bike ride was 2.5 times Maddie’s bike ride.
Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
