Answer:
x = -0.907, 2.57
Step-by-step explanation:
Quadratic Formula: 
Since we are given <em>a</em> = 3, <em>b</em> = -5, and <em>c</em> = -7 from our quadratic, we simply use the Quadratic Formula:
Step 1: Plug in variables

Step 2: Solve


Step 3: Evaluate for decimals
You should get x = -0.906718 and 2.57338 as your answers.
Answer:
14x+35
Step-by-step explanation:
Answer:
r = -8sin(theta)
Step-by-step explanation:
used desmos
Answer:
a: 105.2 < µ < 112.8
b: 104.872 < µ < 113.128
c: 105.841 < µ < 112.159
d: No, because n < 30
Step-by-step explanation:
For a - c, see attached photos for work. There are 2 formulas to use. The steps for constructing any confidence interval are the same, you will just use different numbers in the formula depending on what data is given to you.
d: With large sample sizes, the data often resembles normally distributed data, so we can still construct confidence intervals from the data.
Answer:
a. 99.7%
b. 68%
Step-by-step explanation:
The empirical rule for approximately symmetrical and bell-shaped distributions states that:
68% of the data are among the values (means - sd) and (means + sd)
95% of the data are among the values (means - 2*sd) and (means + 2*sd)
99.7% of the data are among the values (means - 3*sd) and (means + 3*sd). So that,
68% of the data are among the values (180 - 8) = 172 and (180 + 8) = 188
95% of the data are among the values (180 - 16) = 164 and (180 + 16) = 196
99.7% of the data are among the values (180 - 24) = 156 and (180 + 24) = 204