Solve the equation for y: x=2y-3
1 answer:
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Answer:
Therefore, the two options for triangles to be congruent using AAS are
1. BC ≅ MQ (Additional information)
2. AC ≅ RQ (Additional information)
Step-by-step explanation:
Given:
∠CAB =∠MRQ = 29°
∠ABC = ∠RMQ = 116°
To Prove:
Δ ABC ≅ ΔRMQ by AAS congruence test which additional information is required
Proof:
<u>Case 1.</u>
In Δ ABC and Δ RMQ
∠CAB =∠MRQ = 29° ……….{Given}
∠ABC = ∠RMQ = 116° ..……..{Given}
BC ≅ MQ ……….{Additional information required}
Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}
<u>Case 2.</u>
In Δ ABC and Δ RMQ
∠CAB =∠MRQ = 29° ……….{Given}
∠ABC = ∠RMQ = 116° ..……..{Given}
AC ≅ RQ ……….{Additional information required}
Δ ABC ≅ Δ RMQ ….{By Angle-Angle-Side congruence test}
Therefore, the two options for triangles to be congruent using AAS are
1. BC ≅ MQ (Additional information)
2. AC ≅ RQ (Additional information)
Given Information:
Population proportion = p = 0.55
Sample size 1 = n₁ = 30
Sample size 2 = n₂ = 100
Sample size 3 = n₃ = 1000
Required Information:
Standard error = σ = ?
Answer:
Step-by-step explanation:
The standard error for sample proportions from a population is given by
Where p is the population proportion and n is the sample size.
For sample size n₁ = 30
For sample size n₂ = 100
For sample size n₃ = 1000
As you can notice, the standard error decreases as the sample size increases.
Therefore, the greater the sample size lesser will be the standard error.