Answer:
x=3
Step-by-step explanation:
Because DE // AC
so DB/BE = DA/EC
x+5/4=2x/3
4(2x)=3(x+5)
8x=3x+15
5x=15
x=3
Answer:
Step-by-step explanation:
Given the following :
Mean ( m) = 2.98
Standard deviation (sd) = 0.05
A) proportion of cases with mean less than 3.014 inches
X = 3.014
Zscore = (x - m) / sd
Zscore = (3.014 - 2.98) / 0.05
= 0.034 / 0.05
= 0.68
P(Z < 0.68) ; from z table = 0.7517
B.)
25th percentile (0.25) = Q1; corresponds to a Zscore of about - 0.675
Zscore = (x - m) / sd
-0.675 = (X - 2.98) / 0.05
-0.675 * 0.05 = X - 2.98
-0.03375 = X - 2.98
X = 2.946 = 2.95
C)
Q3 = 0.75
75th percentile (0.75) ; corresponds to a Zscore of about 0.675
Zscore = (x - m) / sd
0.675 = (X - 2.98) / 0.05
0.675 * 0.05 = X - 2.98
0.03375 = X - 2.98
0.03375 + 2.98 = X
X = 3.01
IQR = Q3 - Q1
IQR = 3.01 - 2.95 = 0.06
Lower outlier :
Q1 - 1.5(IQR) = 2.95 - 1.5(0.06) = 2.86
UPPER OUTLIER:
Q3 + 1.5(IQR) = 3.01 + 1.5(0.06) = 3.10
Proportion less than 2.86:
Z = (2.86 - 2.98) / 0.05
= - 0.12 / 0.05
= - 2.4
P(Z < 2.4) = 0.0082
Proportion < 3.10
Z = (3.1 - 2.98) / 0.05
= 0.12 / 0.05
= 2.4
P(Z > 2. 4) = 1 - P(Z < 2.4) = (1 - 0.9918) = 0.0082
Proportion of
Least common mulitplue is the smallest number that has 49 and 28 as factors
so to do this
find the factor so 49 and 28 and gropu all of them so both are in it
49=7 times 7
28=2 times 2 times 7
therefor yo need at least two 7's and two 2's
that equals
7 times 7 times 2 itme s2=49 times 4=196
answer is 196
Add like terms: -2m-16m=16m-16m-9
-18m=-9
Divide both sides by -18: m=1/2
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Let x be the number of rotations left to run, then
x + 6 ≥ 45