Answer:
The corresponding y-value where x = 2 is -2
From the given graph, we can see that we have a straight line almost passing through the origin.
There are several points on the line expressed as a coordinate (x, y). This means that for every x-value on the x-axis, there are corresponding y values
From the line, we can see that the corresponding y-value where x = 2 is -2
Step-by-step explanation:
Answer: B
Explanation:
Given, f(x) = 3 • 2x
So , f(-2)=> x= -2
f(-2)= 3 • 2(-2)
f(-2)= 3 •(-4)
f(-2)= -12
Answer:
234 times
Step-by-step explanation:
<u>Number of times the number 7 appears in a hundred</u>
7 as units digit (07-17-27 ..... 97): 10 times
7 as tens digit (70-71-72..... 79): 10 times
20 times the digit 7 appears in first one hundred (0-100)
Let's calculate how many times 7 would be as units or tens in 7 hundreds
20X7 = 140 times digit 7 appears until number 699
<u>Now, from 700 to 777</u>
7 as hundreds digit (700-701-702 .... 777): 78 times
7 as tens digit (770-771-772 .... 777): 8 times
7 as units digit (707-717-727....777): 8 times
78 + 8 + 8 = 94 times the digit 7 appears in the range 700 - 777. Plus 140 times
140 + 94 = 234 times
Answer:
The population standard deviation is not known.
90% Confidence interval by T₁₀-distribution: (38.3, 53.7).
Step-by-step explanation:
The "standard deviation" of $14 comes from a survey. In other words, the true population standard deviation is not known, and the $14 here is an estimate. Thus, find the confidence interval with the Student t-distribution. The sample size is 11. The degree of freedom is thus 
.
Start by finding 1/2 the width of this confidence interval. The confidence level of this interval is 90%. In other words, the area under the bell curve within this interval is 0.90. However, this curve is symmetric. As a result,
- The area to the left of the lower end of the interval shall be
. - The area to the left of the upper end of the interval shall be
.
Look up the t-score of the upper end on an inverse t-table. Focus on the entry with
- a degree of freedom of 10, and
- a cumulative probability of 0.95.
.
This value can also be found with technology.
The formula for 1/2 the width of a confidence interval where standard deviation is unknown (only an estimate) is:
,
where
is the t-score at the upper end of the interval, 
is the unbiased estimate for the standard deviation, and
is the sample size.
For this confidence interval:
Hence the width of the 90% confidence interval is
.
The confidence interval is centered at the unbiased estimate of the population mean. The 90% confidence interval will be approximately:
.
The answer is y = 13/9 or y = 1.444.......
Either answer is correct!
Explanation:
Move the 9 to the other side of the equation, and divide it by 13, which will then get you to a decimal answer of y = 1.444.....
Or, if you don’t want a decimal answer, you don’t have to do the division, you can just leave your answer as y = 13/9
I’m so sorry if the explanation was confusing!
, and
.