Suppose you asked 100 commuters how much they spend each year and obtained a mean of $167 spent on transportation and a standard deviation of $40. Using the 2 SE rule of thumb, calculate a 95% confidence interval for the mean and select the values that come closest to those that would fill the spaces in the following interpretation: we can be 95% confident that the mean amount of money spent on transportation lies between and .A. $149 and $185 B. $163 and $171 C. $163 and $170 D. $155 and $212

B. $163 and $171

Step-by-step explanation:

from the question, we were given the following:

mean= $167

standard deviation, =$40

sample size, n = 100

significance level, α= i- confidence level= 1- 0.95=0.05

from the z table, we get;

critical value,

error margin = critical value ×

                     = 1.96× = 7.84

thus lower limit = mean - error margin = $167 - $7.84 =159.16

the upper limit = mean + error margin = $167 + $7.84 = $174.84

the closest is B. $163 and $171

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )