Answer:
A 9 ⋅ 1019
B 7.8 ⋅ 106
C 1.45 ⋅ 10−7
D 0.33 ⋅ 10−15
Step-by-step explanation:
A 9 ⋅ 1019
B 7.8 ⋅ 106
C 1.45 ⋅ 10−7
D 0.33 ⋅ 10−15
Answer:
See below.
Step-by-step explanation:
g(x) and f(4) refer to different functions.
Since we are not given f(x) is, we cannot answer the question.
Answer:
CI = 21 ± 0.365
Step-by-step explanation:
The confidence interval is:
CI = x ± SE * CV
where x is the sample mean, SE is the standard error, and CV is the critical value (either t score or z score).
Here, x = 21.
The standard error for a sample mean is:
SE = σ / √n
SE = 3.2 / √510
SE = 0.142
The critical value is looked up in a table or found with a calculator. But first, we must find the alpha level and the critical probability.
α = 1 - 0.99 = 0.01
p* = 1 - (α/2) = 1 - (0.01/2) = 0.995
Using a calculator or a z-score table:
P(x<z) = 0.995
z = 2.576
Therefore:
CI = 21 ± 0.142 × 2.576
CI = 21 ± 0.365
Round as needed.
Answer:
- a) 11, d) 25, e) 14, b) 25, c) 28, f) 33
Step-by-step explanation:
<h3>Given</h3>
- ΔBDF, with H is the centroid of BDF, DF = 50, CF = 42, and BH = 22
<h3>To find</h3>
<h3>Solution</h3>
As per definition of the centroid, the points C, E and G are midpoints of respective sides and the length of short and long distances from the centroid have ratio of 1/3 and 2/3 of median
- a) HE = 1/2BH = 1/2(22) = 11
- d) DE = 1/2DF = 1/2(50) = 25
- e) CH = 1/3CF = 1/3(42) = 14
- b) EF = DE = 25
- c) HF = 2/3CF = 2/3(42) = 28
- f) BE =BH + HE = 22 + 11 = 33
Answer:
y=14/5 or 2.8
Step-by-step explanation:
3(-2)+5y=8
-6+5y=8
+6 +6
5y=14
/5y /5y
y=14/5
