Answer:
5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
Step-by-step explanation:
Mean is the average of a set of data, it is the sum of the data divided by the number of data.
To have a mean of 4 from 4 quizzes;
Let x represent the total;
mean = x/4
4 = x/4
x = 4 × 4 = 16
To have a mean of 4 he must have a total score of 16.
Let y represent her score in the last quiz;
16 = 4+3+4+y
16 = 11+y
y = 16-11 = 5
Therefore, she must get 5 points from the last quiz to have a mean score of 4
Answer:the percentage decrease is 36.67%
Step-by-step explanation:
Initial amount of sugar in his diet is 15 spoons in a day. Currently, the amount of sugar in his diet is 9 1/2 spoons in a day. Converting to decimal, it becomes 9.5 spoon in a day. The amount by which he reduced his sugar intake is 15 - 9.5 = 5.5 spoons.
Percentage decrease would be expressed as
Amount by which the intake decreased/ initial intake × 100
It becomes
5.5/15 × 100 = 36.67%
Answer:
14.135
Step-by-step explanation:
6 divided by 2 (half) = 3, π·32≈28.27433 dived by 2 (half) equals 14.135
Answer:
x^2 + y^2 <= 4, 0 <= z <= 8
Step-by-step explanation:
- Region that lies on/below the plane means Z<=8
- Region that lies on/above the xy plane means Z>=0.
Combining 1 and 2, we get
0<=Z<=8
If we want disk of radius 2 in x-y plane to be centered at origin the inequality becomes:
x^2 + y^2 <= 4