Answer:
Step-by-step explanation:
a)
- 6ˣ = 1/216
- 6ˣ = 1/6³
- 6ˣ = 6⁻³
- x = -3
b)
- 5⁻³ × 2⁻¹ =
- 1/5³ × 1/2 =
- 1/(125×2) =
- 1/250 or 0.004
Answer:
20%
Step-by-step explanation:
The reason it is 20% is due to the fact that if you put it in a form showing 250/250 = 100/100 and put another proportional rate underneath it showing 200/250 = x/100, you would have to multiply the numerator of the fraction on the left by the denominator of the fraction on the right to get 20000. Now you divide 250 from 20000 and get x for 80, resulting in 80/100 or 80%. All you have to do now is subtract 100-80, which equals 20, resulting in 20%.
Hope that helps!! It's my first time in answering so, ya. ;D goodluck!
Given:
A race car game takes 6 points from a player each time the player hits a cone.
To find:
The integer which represents the change in total points if the player hits 10 cones.
Solution:
According to the given information,
1 hit = -6 points
Here, negative sign represents the reduction in points after hitting a cone.
If the player hits 10 cones.
(1 × 10) hit = (-6 × 10) points
10 hit = -60 points
So, the change in total points if the player hits 10 cones is -60.
Therefore, the required integer is -60.
Answer:
4.66
Step-by-step explanation:
We are given the following data
26, 26, 21, 22, 20, 25, 35
Step 1
We find the Mean
Mean = 26+ 26+ 21+ 22+20+25+ 35/7
= 175/7
= 25
Step 2
We find the Standard Deviation
The formula for Standard deviation that we would use is the Population Standard deviation, this is because the data given above is the data of the number of pounds of trash collected by each teenager
= √(x - Mean)²/n
= √(26 - 25)²+( 26 - 25)²+ (21 - 25)²+ (22 - 25)² +(20 - 25)²+(25 - 25)²+ (35 - 25)²/7
= √152/7
= √21.7142857
= 4.65985898
Approximately = 4.66
