Answer:
Regular price of a ticket = $60
Step-by-step explanation:
Given:
On purchasing museum tickets in advance customers get 10% off on the regular price of ticket.
Anias paid the sale price of ticket = $54
To find the regular price of ticket.
Solution:
Let the regular price of ticket in dollars be
Discount offered for booking in advance = 10%
Discount amount in dollars = 
Sale price of a ticket in dollars= Regular price - Discount amount= 
Sale price given for a ticket = $54
So, we have:

Dividing both sides by 0.9

∴ 
∴ Regular price of a ticket = $60
Answer:
Z = -1.333
P-value = 0.09176
Decision Rule: Reject
if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
Step-by-step explanation:
Given that:
The sample size of the poll = 1068
The proportion of voters that preferred Democratic candidate is
= 0.48
To test the claim that at least half of all voters prefer the Democrat, i.e 1/2 = 0.5
The null hypothesis and the alternative hypothesis can be computed as:


Using the Z test statistics which can be expressed by the formula:





Z = -1.333
P-value = P(Z< -1.33)
From z tables,
P-value = 0.09176
The level of significance ∝ = 0.05
Decision Rule: Reject
if ∝ is greater than the P-value
Conclusion: Since P-value is > the level of significance ∝, we fail to reject the null hypothesis, therefore there is insufficient evidence to conclude that at least half of all voters prefer the Democrat.
15 litres per minute times three minutes is 45 litres for three minutes, and half a minute's worth of water in the shower is 7 1/2 (half of 15). 45+7 1/2= 52 1/2 litres of water.<span>The difference between 100 and 52 1/2 is 47 1/2, which is our final answer.</span>
Answer:
its a black photo nothing there?