7x + 13 = 4x + 11 + 2x + 19
7x + 13 = 6x + 30
X = 17
7(17) + 13 = 132
Angle 3 is 132 degrees
Answer:
the two triangles are the same shape but not the same size
Step-by-step explanation:
an equilateral triangle has all equal sides. if one triangle has a side length of 4 inches, it'll be smaller than the triangle with the side length of 5 inches but just because they're different sizes doesn't mean they're a different shape. (i don't know if this is right but I'm pretty sure it is)
The height that a ball reaches at a certain time t is given by the equation,
h = 2 - 15t + 5t²
We are asked to compute for the values of t that would allow the ball to reach a height of 7 meters.
Substitute the 7 to the equation,
7 = 2 - 15t + 5t²
Transposing,
5t² - 15t - 7 + 2 = 0
Simplifying,
5t² - 15t - 5 = 0
Divide the equation by 5,
t² - 3t - 1 = 0
The values of t can be calculated through the quadratic formula,
t = (-b +/- sqrt(b² - 4ac))/2a
Substituting,
t = (3 +/-sqrt (9 - 4(-1)) / 2(1)
t = 3.3 or t = -0.30
Since, we cannot have t as a negative number hence, our final answer is:
<em> t = 3.3 s</em>
Answer:
A
Step-by-step explanation:
They are the same line
Answer:
The correct option is: b) the test would also be statistically significant at level alpha = 0.10
Step-by-step explanation:
Consider the provided information.
Suppose a medical researcher conducts a statistical test of hypotheses and finds there is statistically significant evidence for the alternative hypothesis at a significance level alpha = 0.05.
It means that the test would be statically significant at level alpha = 0.10
As we know that if alternative hypothesis is true then the value of p must be less than α.
That means if the p-value is less than 0.05 then it must be less than 0.10.
Hence, the correct option is: b) the test would also be statistically significant at level alpha = 0.10