Answer:
<em>96π units²</em>
Step-by-step explanation:
Find the diagram attached
Area of a sector is expressed as;
Area of a sector = θ/2π * πr²
Given
θ = 3π/4
r = 16
Substitute into the formula
area of the sector = (3π/4)/2π * π(16)²
area of the sector = 3π/8π * 256π
area of the sector = 3/8 * 256π
area of the sector = 3 * 32π
<em>area of the sector =96π units²</em>
S5=10 means the 5th number is 10.
So the arithmetic sequence is s1, s2,s3, s4, 10
Answer: 2 units up.
Step-by-step explanation:
If you take a look at the graph, it shows that it is 2 units up from where it initially started, therefore it is moved 2 units up. It says the SOLID graph is the translation, therefore it would be moving 2 units up.
Let events
A=Nathan has allergy
~A=Nathan does not have allergy
T=Nathan tests positive
~T=Nathan does not test positive
We are given
P(A)=0.75 [ probability that Nathan is allergic ]
P(T|A)=0.98 [probability of testing positive given Nathan is allergic to Penicillin]
We want to calculate probability that Nathan is allergic AND tests positive
P(T n A)
From definition of conditional probability,
P(T|A)=P(T n A)/P(A)
substitute known values,
0.98 = P(T n A) / 0.75
solving for P(T n A)
P(T n A) = 0.75*0.98 = 0.735
Hope this helps!!
<em><u>The intervals included in solution are:</u></em>

<em><u>Solution:</u></em>
Given that,
A boat tour guide expects his tour to travel at a rate of x mph on the first leg of the trip
On the return route, the boat travels against the current, decreasing the boat's rate by 10 mph
The group needs to travel an average of at least 24 mph
<em><u>Given inequality is:</u></em>

<em><u>We have to solve the inequality</u></em>




When we multiply or divide both sides by negative number, then we must flip the inequality sign


This is attached as figure below
From the attached table,

<em><u>Therefore, solution set is given as</u></em>:
