Answer:
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
Step-by-step explanation:
In this question we have to test an hypothesis.
The null and alternative hypothesis are:
The significance level is assumed to be 0.01.
The sample of size n=80 gives a proportion of p=61/80=0.7625.
The standard deviation is:
The statistic z is then
The P-value is
The P-value (0.003) is smaller than the significance level (0.010), so the effect is significant. The null hypothesis is rejected.
There is strong evidence that less than 87% of the orders are delivered in less than 10 minutes.
Decision rule: Reject the null hypothesis if (P-value < level of significance)
Test statistic z=-2.70
Decision: Reject the null hypothesis (0.003<0.010)
Step-by-step explanation:
First, let's move the 
to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:
From here, since the coefficient of the 
term is 
, we know the square will be 
(since 
it's half of ).
To complete this square, we will need to add 
to both sides of the equation:
Now we can take the square root of both sides to figure out the solutions to :
Answer: 90
Step-by-step explanation: 1 Multiplied By 1 Is 1 So If You Add 85 To It You Get 86 Add 4 To That You Get 90
Answer: x ≥ 0
Step-by-step explanation:
First, let's define the symbols used:
a < x (this means that a is strictly smaller than x)
a > x (this means that a is strictly larger than x)
a ≤ x (this means that a is smaller than or equal to x)
a ≥ x (this means that a is larger than or equal to x)
Now we have the statement "x is no less than 0"
Then x can be equal to zero, or larger than zero, but never smaller than zero.
Looking at the symbols above, we know that we need to use:
x ≥ 0
(this is equivalent to the statement)
Answer:
x = - 9
Step-by-step explanation:
Step 1:
2x - 3 = - 21 Equation
Step 2:
2x = - 18 Add 3 on both sides
Step 3:
- 18 ÷ 2 Divide
Answer:
x = - 9
Hope This Helps :)
