Answer:
So the answer for this case would be n=16 rounded up to the nearest integer
Step-by-step explanation:
For this case we have the following info given:
represent the population deviation

represent the margin of error desired
The margin of error for the true mean is given by this formula:
(a)
And on this case we have that ME =0.03 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The confidence level is 80%, the significance would be
and
the critical value for this case is
, replacing into formula (b) we got:
So the answer for this case would be n=16 rounded up to the nearest integer
Choosing the coaches of the basketball teams is independent because which girl he chooses does not influence nor is it influenced by the choice for the boy
With a line parallel to a side through a triangle we get similar triangles so a proportion.
AC : BC = AQ : PQ
AC = BC AQ / PQ
AC = 12.6 (7.2) / 8.4
AC = 10.8 cm
Answer: 10.8 cm
Answer:
Step-by-step explanation:
Given: Quadrilateral PQRS is a rectangle.
To prove: PR = QS
Proof: 1. Quadrilateral PQRS is a rectangle(Given).
2. Rectangle PQRS is a parallelogram (Definition of a rectangle).
3. QP ≅ RS QR ≅ PS (Opposite angles of parallelogram are equal).
4. m∠QPS = m∠RSP = 90° (definition of a rectangle)
5. Δ PQS ≅ ΔSRP (SAS criterion for congruence)
6. PR ≅ QS (Corresponding sides of congruent triangles are congruent).
7. PR = QS (Congruent line segments have equal measures).
Answer:
12,345 tablets may be prepared from 1 kg of aspirin.
Step-by-step explanation:
The problem states that low-strength children’s/adult chewable aspirin tablets contains 81 mg of aspirin per tablet. And asks how many tablets may be prepared from 1 kg of aspirin.
Since the problem measures the weight of a tablet in kg, the first step is the conversion of 81mg to kg.
Each kg has 1,000,000mg. So
1kg - 1,000,000mg
xkg - 81mg.
1,000,000x = 81

x = 0.000081kg
Each tablet generally contains 0.000081kg of aspirin. How many such tablets may be prepared from 1 kg of aspirin?
1 tablet - 0.000081kg
x tablets - 1kg
0.000081x = 1

x = 12,345 tablets
12,345 tablets may be prepared from 1 kg of aspirin.