Answer:
A hope it helps follow please
Step-by-step explanation:
hope you have a great day today
Answer:
Proportions have not changed significantly ( B )
Step-by-step explanation:
GIVEN DATA :
Test statistic = 4.99
significance level = 1% = 0.01
k ( number of groups ) = 3
will we use the chi-squared test to determine the degree of freedom
which is : k-1 = 3 - 1 = 2
looking at the chi-square table to determine the critical value of the test
at significance level = 0.01 and degree of freedom = 2 the critical value = 9.21
Comparing the test value ( 4.99 ) and the critical value ( 9.21 ) it can seen that the test value < critical value which is a condition for not rejecting null hypothesis of the test.
therefore we won't reject the null hypothesis
We have:
z-score = 2.58
Proportion, p = 0.23
q = 1 - 0.23 = 0.77
Margin of error, E = 17% = 0.17
Step 1:
Multiply
by
= 0.23 × 0.77 = 0.1771
Step 2:
Divide z-score by the margin error = 2.58 ÷ 0.17 = 15.2
Step 3:
Square the answer from step 2 = 15.2² = 230.32
Step 4:
Multiply the answer from Step 1 by the answer in step 3
= 0.1771 × 230.32 = 40.79
The answer is the sample size is 40.79 rounded to 41
Answer: Last Option
Answer:
x=5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
