<h3>
Answer: 62.5%</h3>
Explanation:
There are 50+30 = 80 grams of sugar and water mixed together.
The percentage of sugar is 50/80 = 5/8 = 0.625 = 62.5%
This problem is a combination of the Poisson distribution and binomial distribution.
First, we need to find the probability of a single student sending less than 6 messages in a day, i.e.
P(X<6)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)
=0.006738+0.033690+0.084224+0.140374+0.175467+0.175467
= 0.615961
For ALL 20 students to send less than 6 messages, the probability is
P=C(20,20)*0.615961^20*(1-0.615961)^0
=6.18101*10^(-5) or approximately
=0.00006181
Answer:
the scale factor is 3/4
x = 16×3/4 = 12
Step-by-step explanation:
the only side length we have for both triangles is the short left side.
we see that we get ED from SR and need to transform 4 into 3. how do we do that ?
well,
4×f = 3
f = 3/4
that is the scaling factor, as all side lengths in EDF are created by multiplying the corresponding side in SRT by the same scaling factor (3/4).
therefore,
x = EF = ST×f = 16×3/4 = 4×3 = 12
Answer:
The explicit formula for the geometric sequence is 
.
Step-by-step explanation:
By definition of geometric sequence, we should use the following expression:
, 
(1)
Where:
- First term.
- Geometric rate.
- Position of the element within the series.
If we know that 
and 
, then the explicit formula for the geometric sequence is:
The explicit formula for the geometric sequence is .
