Answer:
Step-by-step explanation:
Gym A has a $150 joining fee and costs $35 per month.
Assuming that Casey wants to attend for x months, the cost of using gym A will be
150 + 35 times x months. It becomes
150 + 35x
Gym B has no joining fee and costs $60 per month.
Again, assuming that Casey wants to attend for x months, the cost of using gym B will be
60 × x months = 60x
A) To determine the number of months that it will both gym memberships to be the same, we will equate them.
150 + 35x = 60x
60x - 35x = 150
25x = 150
x = 150/25 = 6
It will take 6 months for both gym memberships to be the same.
B) If Casey plans to only go to the gym for 5 months,
Plan A will cost 150 + 35×5 = $325
Plan B will cost 60 × 5 = $300
Plan B will be cheaper
Answer:
m∠1 = 60°
m∠2 = m∠4 = 39°
m∠3 = m∠5 = 21°
Step-by-step explanation:
ΔWXY is a equilateral angle,
Therefore, all angles of the the triangle are equal in measure.
m∠W + m∠X + m∠Y = 180°
3m∠W = 180°
m∠W = 60°
Since, ΔWZY is an isosceles triangle,
m∠3 = m∠5
m∠3 + m∠Z + m∠5 = 180°
m∠3 + 138° + m∠3 = 180°
2m∠3 = 180 - 138
m∠3 = 21°
Therefore, m∠3 = m∠5 = 21°
Since, m∠2 + m∠3 = 60°
m∠2 = 60 - 21
= 39°
Since, m∠4 + m∠5 = 60°
m∠4 = 60 - 21
= 39°
m∠1 = 60°
Answer: -169
step by step
=3-2x/1/x+5
(f/g)(8)=-13/1/13=-13/1*13/1=-169
Answer: (6.4005, 4.925)
Step-by-step explanation: n = sample size = 68
σ = population standard deviation = 0.35 hours
x = sample mean = 5.8
We are to construct a 95% confidence level for population mean.
This is given below as
Confidence interval = x ± Zα/2 × σ/√n
Where Zα/2 = critical value for a 2 tailed with 5 percent level of significance (that's α=5%) = 1.96
Note that level of significance + confidence level = 100, hence a 95% confidence level will give a 5% level of significance
For the upper limit of the 95% confidence interval, we have that
x + Zα/2 × σ/√n
5.8 +1.96(0.38/√68)
5.8 + 1.96 (0.046)
5.8 + 0.0875
= 6.4005
For the lower limit of the 95% confidence interval, we have that
x - Zα/2 × σ/√n
5.8 - 1.96(0.38/√68)
5.8 - 1.96 (0.046)
5.8 - 0.0875
=4.925
