Answer:
The probability is 0.2, or 20%.
Step-by-step explanation:
A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is
N = (number of blue marbles) + (number of green marbles) = 25
and the number of relevant outcomes (marble being green) is n:
n = (number of green marbles) = 5
So, the probability is
P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%
Answer:
The decimal point should be moved Six places to the right side because there are Six zeros in 10 to the power of 6.
Step-by-step explanation:
As we have to represent the number in the form of
we need to move the decimal Six places towards left because there are Six zeros in
i.e. 1000000. For this purpose we will add four zeros to the left of the number.
So the number in the format mentioned in question will look like -
0.00003405 ×
.
Answer:
The longer diagonal has a length of 7.3 meters.
The angles are 31.65° and 18.35°
Step-by-step explanation:
If one angle of the parallelogram is 50°, another angle is also 50° and the other two angles are the supplement of this angle. so the other three angles are:
50°, 130° and 130°.
The longer diagonal will be the one opposite to the bigger angle (130°), and this diagonal divides the parallelogram in two triangles.
Using the law of cosines in one of these two triangles, we have:




So the longer diagonal has a length of 7.3 meters.
To find the angles that this diagonal forms with the sides, we can use the law of sines:





The other angle is B = 50 - 31.65 = 18.35°
Please check the image attached for better comprehension.
First set change the function f(x) to y so
that it would be

Then set y = 0

Then solve for x
X = - 3
To graph it, just plot the point (-3,0) on the x-axis
Answer:
d. -7/25
Step-by-step explanation:
π<θ<3π/2 in third quadrant
tanθ = 4/3
sinθ = - 4/5
cosθ = - 3/5
cos 2θ = cos²θ - sin²θ = (- 3/5)² - (- 4/5)² = 9/25 - 16/25 = - 7/25