Answer:
x = 12.5
Step-by-step explanation:
From the diagram,
Applying
tanФ = Opposite/Adjacent...................... Equation 1
From the diagram,
Given: Opposite = 16, Adjacent = x, Ф = 52°
Substitute these values into equation 1
tan52° = 16/x
make x the subject of the equation
x = 16/tan52°
x = 16/1.27994
x = 12.5.
Answer:
-7/2 or -3.5
Step-by-step explanation:
h = 20
= h = 35 = h = 70 (2h) (2h)
19h = 35h = 70(2h)(2h)
16h = 70(2h)(2h)
-70 = 20h
-7/2 = h
-3.5 = h
Answer:
= One-half more than three-fourths of a number
= Three-fourths minus one-half of a number
= three-fourths minus the sum of a number and one-half
Step-by-step explanation:
Suppose x be an unknown number.
∵ 3/4th of a number = 
= One-half more than three-fourths of a number
Now, half of a number = 
= Three-fourths minus one-half of a number
Sum of a number and one-half = 
= three-fourths minus the sum of a number and one-half
Answer:
Yes, we reject the auto maker's claim.
Step-by-step explanation:
H0 : μ ≥ 20
H1 : μ < 20
Sample mean, xbar = 18 ;
Sample size, n = 36
Standard deviation, s = 5
At α = 0.01
The test statistic :
(xbar - μ) ÷ s /sqrt(n)
(18 - 20) ÷ 5/sqrt(36)
-2 /0.8333333
= - 2.4
Pvalue from test statistic : Pvalue = 0.00819
Pvalue < α
0.00819 < 0.01
Hence, we reject the Null
