Answer:
, 60.494%
Step-by-step explanation:
I am going to try to tackle this. I might miss a step as I am currently taking discrete mathematics.
We want to find all the possibilities with 1y, 2ys, 3ys, and 4ys, out of all total possibilities.
_ _ _ _ _ _ _ _ _
For the letters, in each spot, we have 3 choices. For the numbers, we have 10 choices in each spot
so
3*3*3*3 * 10*10*10*10*10
= 81*100000
= 8100000
The number of Y's will never affect the number of permutations of the numbers.
So:
For 1 y, we have
Y _ _ _ * 10*10*10*10*10
But we also have
_ Y _ _
_ _ Y _
and
_ _ _ Y
So we can multiply the number we get in one calculation by 4
4 *
Y _ _ _ * 10*10*10*10*10
2*2*2 * 10*10*10*10*10
= 800000 * 4 = 3200000
For 2 y's, we have
YY _ _
_ YY _
__ YY
3*
YY 2*2 * 10^5
4 * 100000
400000 * 3 = 1200000
For 3 y's, we have
YYY _
_ YYY
2 *
YYY 2 * 10^5
200000 * 2
= 400000
For 4 y's, we have
YYYY * 10^5
100000
Now we can add them all up and divide it by our original number 8100000
Answer:
C) $20.80
Step-by-step explanation:
1 kg of cooking oil = $6.5
1 packet of cooking oil =2/5 kg
If 1 kg of cooking oil = $6.5
2/5kg of cooking oil = $X
Cross Multiply
1kg × $X = 2/5kg × $6.5
$X = 13/5
$X = 2.6
Hence 2/5kg of oil cost $2.6
Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6
The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:
1 packet of oil = $2.6
8 packets of oil =
$2.5 × 8
= $20.80
Therefore,if Sara bought 8 packets of oil, the amount she would spend = $20.80
Answer:
As shown in picture, the area is divided into 4 parts: 3 triangles and 1 rectangles.
Total area:
A = smallest triangle + medium triangle + largest triangle + rectangle
= 2 x 2 x 1/2 + 2 x 6 x 1/2 + 4 x (2 + 2 + 6) x 1/2 + 2 x 2
= 2 + 6 + 20 + 4
= 32
Hope this helps!
:)
Answer: y= -1x - 5
Step-by-step explanation:
The equation has to be in slope-intercept form which uses the formula
y=mx+b where m is the slope and b is the y-intercept.
So we given the slope and an x and y coordinate so we will plot those numbers into the formula and solve for the y intercept to write the equation.
the x coordinate is -7 and the y coordinate is 2
2 = -1(-7) + b
2 = 7 + b
-7 -7
b = -5 the y intercept is -5
Now the equation will be y= -1x - 5
We are given the following function:
This function is equivalent to the function:
Together with a translation 5 units in the negative direction of the "x" axis. Since the range of g(x) is all the values of "y" that are smaller or equal to zero, if we translate 5 units in the negative direction of the y-axis the range is:
or in interval notation:
