Part A
Step-by-step explanation:
4x − 1 ≤ 19 is the same as
4 times 5 minus 1 = 19
So 19 ≤ 19
The symbol ≤ means that the number on the left of the sign is smaller OR EQUAL TO the number on the right
19 is not smaller than 19 but is equal to 19
The symbol < means only that the number on the left is smaller than the number on the right
Part B
Answer:
9
Step-by-step explanation:
5x + 2 = 47
We need the x ( which is the unknown number) to be by its self on one side of the equation ( or the equal sign)
The equation expanded is:
5 * x + 2 = 47 (the symbol * is the times symbol)
Firs we can move the 2 to the other side by taking away the two from the left of the equation and moving it to the right
5x + 2 = 47
-2 -2
To take away the two on the left of the equation we do 2-2 which is 0. And whatever we do on one side of the equation we have to do on the other so 47-2 which is 45
Now the equation looks like:
5x = 45
Now remember that 5x is actually 5 times x
So
5 * x = 45
Now we need to have only x on the left side so we need to move the 5 to the right
To do this we have to make * 5 turn into 0
The opposite of times is divide so we divid the 5 by 5
5/5= 0
Now we do the same on the other side of the equation
5x = 45
5x/5 = 45/5
x = 9
So now x is by its self we can see x = 9
So the answer is
9
Complete question is;
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
H0: μ = 4
H1: μ > 4
What type of test is being conducted in this problem? What parameter is being tested?
Answer:
Type of test = right tailed
Parameter being tested = population mean
Step-by-step explanation:
We are given the null and alternative hypothesis as;
H0: μ = 4
H1: μ > 4
Now, let's define terms;
The right tailed test and the left tailed test are both examples of one-tailed tests. This is because the area where we would reject the null hypothesis is only in one tail. Which means that in the case of left tail, the rejection region will occur only to the left of the graph while for the right tail, the rejection region will occur only to the right of the graph.
Whereas, for two tailed test, the area where we would reject the null hypothesis would not just be in one tail or one side of the graph but could be in either tail or either side of the graph. Hence, the name "two - tail".
Now, applying this to the question, the alternative hypothesis says the mean is greater than 4. On, a graph, an increase in number on the x-axis means going to the right. Thus, it is a right tailed test
Now, the sample being tested is population mean because in statistics, the symbol μ is generally used to denote population mean.
Answer:
Step-by-step explanation:
(n) less than or equat to
2L+2W=157.5
L=W-30
2(W-30)+2W=157.5
2W-60+2W=157.5
+60 +60
4w=217.5
W=54.4(.37 rounded to nearest tenth)
L=24.4