First off, we'll convert the mixed fraction to "improper" and check about, keeping in mind that, there are 5280 feet in 1mile.
6th grade math, help me please:)
2 answers:
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Answer:
6.82
Step-by-step explanation:
By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation
r/1 = 2.5/6
(See picture attached)
So, r = 0.4166 meters when the water is 1 meter high.
The volume of a cone with radius of the base = R is given by
So, the volume of water when it is 1 meter high is
One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt
The radius now satisfies
r/1.3 = 2.5/6
and now the radius of the base is
r = 0.5416 mt
and the new volume of water is
So, the water is raising at a speed of
0.3071-0.1871 = 0.12
This speed equals the difference between the water being pumped and the water leaking,
So,
<em>0.12 = Speed of water being pumped -6.8 </em>
and
Speed of water being pumped = 6.8+0.12 = 6.82
Answer:
P(a junior or a senior)=1
Step-by-step explanation:
The formula of the probability is given by:
Where P(A) is the probability of occurring an event A, n(A) is the number of favorable outcomes and N is the total number of outcomes.
In this case, N is the total number of the students of statistics class.
N=18+10=28
The probability of the union of two mutually exclusive events is given by:
Therefore:
P(a junior or a senior) =P(a junior)+P(a senior)
Because a student is a junior or a senior, not both.
n(a junior)=18
n(a senior)=10
P(a junior)=18/28
P(a senior) = 10/28
P(a junior or a senior) = 18/28 + 10/28
Solving the sum of the fractions:
P(a junior or a senior) = 28/28 = 1