Answer/Step-by-step explanation:
1.a)(iv). 
Positive multiplied by negative = negative


2a.) 73.48 +(-37.3)

73.48 - 37.3 = 36.18
3c.)
÷
Convert to proper fraction
÷
Change ÷ to × and flip the fraction on your right upside down

3d.) -52.25 ÷ (-5.5) = 
(Note: - ÷ - = + )

Answer:
Step-by-step explanation:
30 meters
We divide by 2 on both sides.
We get the final answer as
x = 5/2 = 2.5
From the given function, to explain the correct answer I will plot the graph for :
y(t)=-t^2+14t-40
thus the graph will be as shown in the figure:
From the graph we deduce that the correct statement is:
y'(t)=-2t+14=0
thus
t=7
thus
y(7)=0
thus the correct statement is:
<span>c. The average rate of change over the interval 6≤t≤8 is 0</span>
Answer:
Case n =5
Case n =15
Case n = 40
P value
Case n =5
Case n =15
Case n =40
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
z would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is lower than 5, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
Case n =5
Case n =15
Case n = 40
P-value
Since is a left tailed test the p value would be:
Case n =5
Case n =15
Case n =40