So since her balance must be at least 500, her ballance cannot reach 500
so 794-500=294
see how many 25's you can fit into 294
we know that 4 25's =100 and 294 is roughly 300
so 4 times 3=12
we minus one of the 25's because 294 is less than 300 so
the innequality is
>means more than
794-25x>500
Answer:
Option B - 
and 
Step-by-step explanation:
Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.
To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?
Solution :
Let x be the number of rides and
y be the cost per ride.
According to question,
The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.
The equation form is 
The Splash water park charges an entry fee of $60 and an additional $3 per ride.
The equation form is 
Therefore, The required system of equations form are
and
So,Option B is correct.
Answer:
Check Explanation
Step-by-step explanation:
A) The null hypothesis would be that the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white & there is no significant evidence that the company's hiring practices are discriminatory.
Mathematically,
H₀: μ₀ = 0.53
And the alternative hypothesis would be that there is a significant difference between the proportion of newly hired candidates that are not white is not significantly different from the proportion of the applicants that are not white. More specifically, that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white & there is significant evidence that the company's hiring practices are indeed discriminatory.
Mathematically,
Hₐ: μ₀ < 0.53
B) The two errors that can come up in this hypothesis testing include -
Type I error: We reject the null hypothesis because we obtain that the proportion of newly hired candidates that are not white is significantly less than the proportion of applicants that are not white and conclude that there is indeed significant evidence that the company's hiring practices are discriminatory when in reality, there is no significant difference and hence, no discrimination.
Type II error: We accept the null hypothesis (fail to reject the null hypothesis) because we obtained that there is no significant difference between the proportion of newly hired candidates that are not white & th proportion of applicants that are not white and conclude that there is no discrimination in the company's hiring practices when in reality, there is significant difference in the stated proportions above and significant evidence that there is indeed significant evidence that the company's hiring practices are discriminatory.
C) The power of the test increases as the significance level reduces. This is because t-statistic increases as significance level reduces.
D) The standard error of the mean used in computing the t-score is given as
σₓ = (σ/√n)
It is evident that as the value of n increases, the standard error reduces and this widens the effect of the test, hence, the power of the test increases.
Hope this Helps!!!
I agree with Marita, that the angles could have the same measure. This can be proven if you set the two amounts equal and solve for x.
9x - 25 + x = x + 50 + 2x - 12
To begin, we should combine like terms on both sides of the equation to start simplifying the equation.
10x - 25 = 3x + 38
Next, we should subtract 3x from both sides and add 25 to both sides to get the variable x alone on the left side of the equation.
7x = 63
Finally, we should divide both sides by 7, to get rid of the coefficient of x.
x = 9
If you plug in 9 for x in our first equation, you get that both of the angle measurements equal 65 degrees. This means that Marita is correct, because if x = 9, then the angles would have the same measure.
Answer:
Option (a) is correct.
The system of equation becomes
Step-by-step explanation:
Given : Equation 
We have to construct a system of equations that can be used to find the roots of the equation
Consider the given equation
To construct a system of equation put both sides of the given equation equal to a same variable.
Let the variable be "y", Then the equation
becomes,
Thus, The system of equation becomes
Option (a) is correct.
