Answer:
x = 27
Step-by-step explanation:
The given angles are vertical angles and congruent, thus
5(x - 4) = 4x + 7, that is
5x - 20 = 4x + 7 ( subtract 4x from both sides )
x - 20 = 7 ( add 20 to both sides )
x = 27
Answer:
√10/2
Step-by-step explanation:
5/√10
Rationalizing the surd involves multiplying the numerator and denominator by the surd.
5/√10 * √10/√10
5√10/10
√10/2
Answer:
(2.8 x 10^8) / (7 × 10^2) = 400'000
Step-by-step explanation:
Answer:
We are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%
Step-by-step explanation:
We are given that in a group of randomly selected adults, 160 identified themselves as executives.
n = 160
Also we are given that 42 of executives preferred trucks.
So the proportion of executives who prefer trucks is given by
p = 42/160
p = 0.2625
We are asked to find the 95% confidence interval for the percent of executives who prefer trucks.
We can use normal distribution for this problem if the following conditions are satisfied.
n×p ≥ 10
160×0.2625 ≥ 10
42 ≥ 10 (satisfied)
n×(1 - p) ≥ 10
160×(1 - 0.2625) ≥ 10
118 ≥ 10 (satisfied)
The required confidence interval is given by

Where p is the proportion of executives who prefer trucks, n is the number of executives and z is the z-score corresponding to the confidence level of 95%.
Form the z-table, the z-score corresponding to the confidence level of 95% is 1.96







Therefore, we are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%
Answer:
2.2 x10= = 22.2 =22 million.
Step-by-step explanation: