Indeed, a fare of $40 is a fair charge for the cab ride.
Explanation
Sheri's cab fare totaled $32, with a gratuity rate of 20%.
The gratuity amount is: 
Thus, the total cab fare including gratuity is: 
Since Sheri issued a $40 check to the cab driver, it indicates she provided ($40 - $38.40) or an extra $1.60 to the cab driver. Consequently, the $40 payment is reasonable for the cab fare.
Answer:
75 dollars in coupons.
250 dollars in dividends.
She achieved a profit of 600 - 425 = 175 from her stock investment.
Her complete income sums up to 250 + 75 + 175 = 500.
If all this is taxed at 10%, her tax will be 500 *.1 = 50.
Answer:
a) Null hypothesis:
Alternative hypothesis:
b)
(1)
Where
c)
d) In this scenario, we notice that
thus the conclusion for this case would indicate
Step-by-step explanation:
Information provided
denote the number of men possessing smartphones
signify the number of women possessing smartphones
group of men sampled
group of women sampled
symbolize the proportion of men with smartphones
symbolize the proportion of women with smartphones
denote the pooled estimate of p
z would denote the test statistic
signify the value
Part a
The objective is to evaluate if there is a disparity in smartphone ownership between men and women; the hypothesis statements would be:
Null hypothesis:
Alternative hypothesis:
Part b
The statistic relevant to this case is expressed as:
(1)
Where
Part c
By substituting the provided information, we find:
Part d
In this instance, it is evident that
thus the conclusion for this case would seem
The question clearly seeks the highest values from both functions, meaning the vertices of each.
<span>The graph depicting the path of Ed’s football indicates the vertex's coordinates (the peak of the graph).
</span>
Specifically,
(h,k) = (1.5, 7.5)
Where (h,k) represents the vertex's location.
Conversely,<span>the trajectory of Steve's football is defined by the equation:
y = - 2x
²</span>
+ 5x + 4<span>
To find the axis of symmetry, we use the formula:x = - b
÷ 2a
Where:
a = -2</span>
b = 5
Consequently,
x = - 5 ÷ - 4
x = 5 / 4
x = 1.25
Now substituting this x-value back into the main equation to determine y.
y = - 2x² + 5x + 4y = - 2(1.25)² + 5(1.25) + 4
y = - 3.125 + 6.25 + 4
y = 7.125
Thus, the vertex (h,k) = (1.25, 7.125)
As observed from the calculationsEd’s
<span>football attains a higher height.
</span>