Part a)
It was given that 3% of patients gained weight as a side effect.
This means


The mean is


The standard deviation is



We want to find the probability that exactly 24 patients will gain weight as side effect.
P(X=24)
We apply the Continuity Correction Factor(CCF)
P(24-0.5<X<24+0.5)=P(23.5<X<24.5)
We convert to z-scores.

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.
P(X≤24)
We apply the continuity correction factor to get;
P(X<24+0.5)=P(X<24.5)
We convert to z-scores to get:

Part c)
We want to find the probability that
11 or more patients will gain weight as a side effect.
P(X≥11)
Apply correction factor to get:
P(X>11-0.5)=P(X>10.5)
We convert to z-scores:


Part d)
We want to find the probability that:
between 24 and 28, inclusive, will gain weight as a side effect.
P(24≤X≤28)=
P(23.5≤X≤28.5)
Convert to z-scores:

Answer:
8(2x+3)
Step-by-step explanation:
Find the GCF (greatest common factor) of 16 and 24
The GCF is 8
divide both by eight
there you go....
I'm not good at explaining this ;-; ,my sincere apologies.
Hopefully I was helpful!
Answer: 1. 7:10
2. 10 blue cans
15 yellow cans.
3. 4 cans of blue paint.
5 cans of yellow paint.
4. 2 blue cans and 3 yellow cans.
Step-by-step explanation:
1. 14 blue paint cans/20 yellow paint cans=
14/20=
7/10 ==> 7:10
2. 4+6 blue cans=10 blue cans
6+9 yellow cans=15 yellow cans.
3. 14-10=4 cans of blue paint.
20-15=5 cans of yellow paint.
4. 10 blue cans/15 yellow cans=
10/15=
2/3 ==> 2:3 ==> 2 blue cans and 3 yellow cans.
Answer:
y = 100°
Step-by-step explanation:
x = 40° (vertical angles are congruent)
y is an exterior angel of a triangle that has two opposite internal angles, x (40°) and 60°.
According to the exterior angle of a triangle, thus:
y = 40 + 60
y = 100°