Answer:
The approximation is 0.2( real value is 0.19)
Step-by-step explanation:
In this question, we are to calculate the best approximation if in a pack of cards labeled 1 to 21 , the card selected is a multiple of 5
First we know that the total number of options in our sample space is 21; from 1 to 21
now let’s get the multiples of 5. we have 5,10,15 and 20
The probability of selecting a multiple of 5 is thus; 4/21 . This can be approximately be said to be 0.2 ( actual value is 0.19)
Answer:
o solve a logarithm, start by identifying the base, which is "b" in the equation, the exponent, which is "y," and the exponential expression, which is "x." Then, move the exponential expression to one side of the equation, and apply the exponent to the base by multiplying the base by itself the number of times indicated in the exponent
Step-by-step explanation:
hope it works
Answer:
Step-by-step explanation:
Equation: y=mx+b
m is the gradient while b is the y-intercept
Let's first find the slope (also known as the gradient) by choosing two points.
The formula to find the slope is change in y divided by change in x.
So two points are: (-2,0) and (0,5)
Change in y: 5-0 (we use the y-coordinates)
Change in x: 0--2 (0+2) (we use the x-coordinates)
So: 5-0= 5 and 0+2= 2 which means 5 divided by 2
Slope= 5 over two
To find the y-intercept we need to see where the line crosses the y-axis which would be at (0,5)
So: y-intercept is 5 as that's where the line crosses the y-axis.
Equation now: y= 5 over 2x +5
Answer:
Length = 12
Width = 8
Height = 4
Step-by-step explanation:
Let length of box = l
Width = 2/3 * l
Height = 1/3 * l
Volume of the box = 384 ft³
Volume = Length * width * height
Volume of box = l * 2/3 l * 1/3 l
384 = 2l³ / 9
384 * 9 = 2l³
3456 = 2l³
l³ = 3456 / 2
l³ = 1728
Take the Cube root of 1728
l = 12
Length = 12
Width = 2/3 * 12 = 8
Height = 1/3 * 12 = 4
If it is reflected over both axes then it is diagonally across from it. The point starts in the lower left quadrant and is reflected into the upper right quadrant. This means it will be (3, 4).
