Answer:
Step-by-step explanation:
Cost of two tickets = 2 * 30 = £60
Let the amount with Puvi = £x
Money spent on dinner = (1/3)*x
Total money - money spent on dinner - money spent on dessert = 60
Money that Puvi had at the start of the night = £ 240
Answer:
a) Bar chart
b) Histogram
c) Bar chart
d) Histogram
Step-by-step explanation:
a) Trash pick-up DAY for each HOUSEHOLD in Ames - This is categorical data because, we are talking about days of the week. For instance, Household 1 might have Sunday as Trash pick-up day and that could be accumulated into frequency. Hence, BAR chart is the most appropriate.
b) Patient WAIT-TIME at ISU. This is continuous (quantitative) data. And the most appropriate is HISTOGRAM.
c) Number of trips taken during a GIVEN SCHOOL YEAR by EACH ISU STUDENT. Let say we have 5 ISU STUDENTS. Student 1 had 5 trips, student 2 had 10 trips, etc.
We want to see which student has the most and least trip in that particular school year. Although is count data but the most appropriate graphical display is BAR chart.
d) TAX BRACKET of ALL Iowa RESIDENTS. This is a continuous (quantitative) data. The most appropriate graphical display is HISTOGRAM.
Answer:
The data provide sufficient evidence that older people are more likely to be victimized.
Step-by-step explanation:
H 0 : P = 0.10
H 1 : P > 0.10 (Right tailed test)
n = 527, P = 0.1235
The test statistics
x = P - p / 
x = 0.1235 - 0.10 / 
x = 0.0235 / 
x = 0.0235 / 
x = 0.0235 / 0.0130682049264618
x = 1.798257689731729
x = 1.798
P value = [1 - p(Z > 1.7980] (Right tailed test)
P value = 0.036089
The P - Value is very small, so <u>reject H0</u>
Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.
Answer:
y = 5
Step-by-step explanation:
Step 1: Write equation
-(4y + 2) - (-3y - 6) = -1
Step 2: Solve for <em>y</em>
- Distribute: -4y - 2 + 3y + 6 = -1
- Combine like terms: -y + 4 = -1
- Subtract 4 on both sides: -y = -5
- Divide both sides by -1: y = 5
Step 3: Check
<em>Plug in y to verify it's a solution.</em>
-(4(5) + 2) - (-3(5) - 6) = -1
-(20 + 2) - (-15 - 6) = -1
-22 - (-21) = -1
-22 + 21 = -1
-1 = -1
Answer:
x = - 3 is extraneous
Step-by-step explanation:
Given
- 1 = x ( add 1 to both sides )
= x + 1 ( square both sides )
x + 7 = (x + 1)² ← distribute right side
x + 7 = x² + 2x + 1 ( subtract x + 7 from both sides )
0 = x² + x - 6 ← in standard form
0 = (x + 3)(x - 2) ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = - 3 : 
- 1 = 
- 1 = 2 - 1 = 1 ≠ - 3
x = 2 : 
- 1 = 
- 1 = 3 - 1 = 2
x = 2 is a solution and x = - 3 is extraneous
