Answer/Step-by-step explanation:
#8. Using the geometric mean theorem formula, h = √xy, where,
h = x
x = 4 and y = 16
Plug in the values
x = √(4*16)
x = 8
#9. Using the geometric mean formula, h = √xy, where,
h = y
x = 5 and y = 8
Plug in the values into the formula:
y = √(5*8)
y = √40
y = 6.3 (nearest tenth)
#10. Using the geometric mean formula, h = √xy, where,
h = 18
x = 12 and y = y = ???
Plug in the values into the formula:
18 = √(12*y)
Square both sides
18² = 12y
324 = 12y
Divide both sides by 12
27 = y
y = 27
Find the GCF
In this case 6
then just see how many times to multiply 6 to get 12xband 18 then that S it
6(2x+3)
Answer:
Step-by-step explanation:
Given the sample data
Pre-test... 12 14 11 12 13
Post-Test 15 17 11 13 12
The mean of pre-test
x = ΣX / n
x = (12+14+11+12+13) / 5
x = 12.4
The standard deviation of pre-test
S.D = √Σ(X-x)² / n
S.D = √[(12-12.4)²+(14-12.4)²+(11-12.4)²+(12-12.4)²+(13-12.4)² / 5]
S.D = √(5.2 / 5)
S.D = 1.02.
The mean of post-test
x' = ΣX / n
x' = (15+17+11+13+12) / 5
x' = 13.6
The standard deviation of post-test
S.D' = √Σ(X-x)² / n
S.D' = √[(15-13.6)²+(17-13.6)²+(11-13.6)²+(13-13.6)²+(12-13.6)² / 5]
S.D = √(23.2 / 5)
S.D = 2.15
Test value
t = (sample difference − hypothesized difference) / standard error of the difference
t = [(x-x') - (μ- μ')] / (S.D / n — S.D'/n)
t = (12.4-13.6) - (μ-μ')/ (1.02/5 - 2.15/5)
-1.5 = -1.2 - (μ-μ') / -0.226
-1.5 × -0.226 = -1.2 -(μ-μ')
0.339 = -1.2 - (μ-μ')
(μ-μ') = -1.2 -0.339
μ-μ' = -1.539
Then, μ ≠ μ'
We can calculate our P-value using table.
This is a two-sided test, so the P-value is the combined area in both scores.
The p-value is 0.172
The p value > 0.1
Answer:
A) 75%
B) 76
Step-by-step explanation:
A) 39/52=0.75=75%
B)80x0.95=76
Answer:
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Step-by-step explanation:
