Answer:
Step-by-step explanation:
Determine whether the graph of each pair of equations are parrallel, perpendicular, or neither
1 answer:
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Answer:
The calculated value Z = 2.3084 > 1.96 at 5% level of significance
Null hypothesis is rejected
Alternative hypothesis is accepted
The hotel does not expects that 24% of all guests will request smoking rooms
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given the hotel takes a random sample of 223 guests. Out of this sample, 39 guests requested smoking rooms.
Sample proportion
p = x/n = 39/223 = 0.174
Given Population proportion 'P' = 0.24
Given random sample size 'n' = 223
Level of significance ∝ =0.05
The critical value Z₀.₀₅ = 1.96
<u><em>Null Hypothesis</em></u> (H₀) : P=0.24
<u><em>Alternative Hypothesis</em></u> (H₁) : P≠ 0.24
<u><em>Step(ii)</em></u>:-
<em>Test statistic </em>
|Z| = | -2.3084|= 2.3084
The calculated value Z = 2.3084 > 1.96 at 5% level of significance
Null hypothesis is rejected
Alternative hypothesis is accepted
The hotel does not expects that 24% of all guests will request smoking rooms
Answer: Option 1
Step-by-step explanation:
See attached image
Answer:
1). System of equations- D + Q = 90 and D + 2.5Q = 175.50
2). There are 33 dimes and 57 quarters in the bank.
Step-by-step explanation:
Dylan has a bank that sorts coins as they are dropped in it.
A panel shows the total number of coins inside as well as the total value of these coins.
Let the number of dimes in the bank = D
and the number of quarters in the bank = Q
If the panel shows total number of coins = 90
Then the equation will be
D + Q = 90 -------(1)
And the panel displays the amount of the coins = $17.55
Then equation will be
0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]
D + 2.5Q = 175.50 ------------(2)
Now we subtract equation (1) form equation (2)
D + 2.5Q - (D + Q) = 175.50 - 90
D + 2.5Q - D - Q = 85.5
1.5Q = 85.5
Q =
= 57
By putting Q = 57 in the equation (1)
D + 57 = 90
D = 90 - 57 = 33
Therefore, there are 33 dimes and 57 quarters in the bank.