9514 1404 393
Answer:
a) C x +x +x +3x +3x = 18
b) x = 2
c) 2 cm, 6 cm
Step-by-step explanation:
a) The sum of the lengths of the sides is equal to the length of the perimeter. The appropriate equation is ...
x +x +x +3x +3x = 18
__
b) Simplifying, the equation becomes ...
9x = 18
x = 2 . . . . . divide by 9
__
c) The shorter sides are x = 2 cm.
The longer sides are 3x = 6 cm.
Answer:
+ 
i
Step-by-step explanation:
Using the exact value
cos60° = 
and sin60° = 
, then
3(cos60° + isin60°)
= 3( + i) ← distribute by 3
= + i ← in the form a + bi
Answer:
2.8
Step-by-step explanation:
1) find the mean of the data set. = 15
2) find the abs value of the diff between each data value and the mean: |data value – mean|.
|10-15|=5, |20-15|=5, |15-15|=0, |17-15|=2, |13-15|=2
3) find the sum of the abs values of the diff = 14
4) divide the sum of the abs value by the number of data values = 14/5 = 2.8
Complete Question
A random sample of 300 circuits generated 13 defectives. a. Use the data to test
Versus
Use α = 0.05. Find the P-value for the test
Answer:
The p-value is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 300
The number of defective circuits is k = 13
Generally the sample proportion of defective circuits is mathematically represented as
=> 
=> 
Generally the standard Error is mathematically represented as
=> 
=> 
Generally the test statistics is mathematically represented as
=> 
=> 
From the z table the area under the normal curve to the left corresponding to -0.5317 is
Generally the p-value is mathematically represented as
=> 
=>
Answer:
23.54 m
Step-by-step explanation:
Applying
cos∅ = adjacent(A)/hypotenuse(H)
cos∅ = A/H................ Equation 1
make H the subject of the equation
H = A/cos∅............ Equation 2
Given: A = 15 m, ∅ = 25°
Substitute into equation 2
H = 15/cos25
H = 16.55 m
Also,
tan∅ = opposite(O)/Adjacent(A)
tan∅ = O/A............Equation 3
Make O the subject of the equation
O = Atan∅.......... Equation 4
Substituting into equation 4
O = 15(tan25°)
O = 6.99 m.
From the diagram,
The height of the goal post before snap = H+O
The height of the goal post before snap = 16.55+6.99
The height of the goal post before snap = 23.54 m
