The perimeter is
P = 2w + 2l
the rectangular table is 5 inches longer than the width
P = 2w + 2(w + 5)
now we can use that to solve
P = 2w + 2w + 10
P = 4w + 10
P > 92
10 + 4w > 92
subtract 10 from both sides
4w > 82
Divide both sides by 4
w > 20.5
The width can be greater than or equal to 20.50 inches.
Hope this helps :)
Answer:
a) H0 : P = 0.07
Ha : P ≠ 0.07
b) p -value = 0.1770
Step-by-step explanation:
P = 7% = 0.07
x (result ) = 7 , n = 163
p = x / n = 7 / 163 = 0.043
<u>a) Using a significance level ( ∝ ) of 0.05, estimate the appropriate hypothesis</u>
H0 : P = 0.07
Ha : P ≠ 0.07
conduct a Z- test statistic
Z = ( p - P ) / 
= ( 0.043 - 0.07 ) /
= - 1.35
Critical value ( Z₀.₀₂₅ ) = ± 1.96
<em>we fail to reject H0 given that | z | < Zcritical because there is not enough evidence to conclude that proportion change</em>
<u>b) Determine the p-value of the test </u>
P-value = P ( | Z | > Z )
= 2 * P ( Z < -1.35 )
= 0.1770
The p-value ( 0.1770 ) > ∝ ( 0.05 ) hence we fail to reject H0 ( i.e. the conclusion agrees with part a above )
In the right angled triangle ACD shown with isosceles triangle ABC and ADC, AB = AC = AD
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
A triangle is a polygon that has three sides and three angles. Types of triangles are<em> isosceles, equilateral and scalene</em>.
In the diagram shown:
AB = AC = AD
In the right angled triangle ACD shown with isosceles triangle ABC and ADC, AB = AC = AD
Find out more on equation at: brainly.com/question/2972832
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23 plus 7 is 30. Now you multiply that by 5 to get 150.
Answer:
for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by
=
= 144.
Step-by-step explanation:
i) from the given series we can see that the first term is
= 120.
ii) let the common ratio be r.
iii) the second term is 20 = 120 × r
therefore r = 20 ÷ 120 = 
iv) the third term is
= 20 × r
therefore r =
÷ 20 = 
v) for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by
=
= 144.