The answer is 7. If you follow the order of PEMDAS this is an easy question.
Answer:
x = 0.3, y = 5.3, z = 17.3
Step-by-step explanation:
Since given question is incomplete, so here is the complete table for the distance from the mean.
Temp (°F) 29 38 45 31 50 58 62
Distance from the mean 15.7 6.7 x 13.7 y 13.3 z
It's given that the mean of the data is 44.7
Since distance from the mean of a data is the absolute value of the difference of data and mean,
Therefore, distance from the mean of the data will be,
x = |44.7 - 45| = 0.3 (absolute value of the difference)
y = |44.7 - 50| = 5.3
z = |44.7 - 62| = 17.3
You would place a #line going from negatives on left to positive on right then place a point at positive 5 and go back 5, 3 times
Answer:
P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Step-by-step explanation:
Let P(n) be the proposition that 2n-1 ≤ n!. for n ≥ 3
Basis: P(3) is true since 2(3) - 1 = 5 < 3! = 6.
Inductive Step: Assume P(k) holds, i.e., 2k - 1 ≤ k! for an arbitrary integer k ≥ 3. To show that P(k + 1) holds:
2(k+1) - 1 = 2k + 2 - 1
≤ 2 + k! (by the inductive hypothesis)
= (k + 1)! Therefore,2n-1 ≤ n! holds, for every integer n ≥ 3.
Answer:
a) h = 6 2/17
b) k = 3 8/17
Step-by-step explanation:
We can make a list of corresponding sides:
AB (17 cm) and DE (13 cm)
BC (15 cm) and EC (8+k cm)
CA (8 cm) and CD (h cm)
Because the triangles are similar, we know corresponding sides are proportional.
<h3>a)</h3>
CD/CA = DE/AB
h/8 = 13/17
h = 8(13/17) = 6 2/17
__
<h3>b)</h3>
EC/BC = DE/AB
(8+k)/15 = 13/17
8 +k = 15(13/17)
k = 11 8/17 -8 = 3 8/17
