The answer is B hope it helped
Answer:
9 ft
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
8 in x
-------- = -------
7 in 8 ft
Cross-multiplying, we get: 64 in-ft = 7x in
Dividing both sides by 7 in, we get:
64 in-ft
------------ = 9 ft (rounded down from 9.143 ft)
7 in
Answer:
Option C is correct.
Step-by-step explanation:
Let x be the original width
then x+2 will be the length (consecutive odd integer)
if length is increased by 5 feet , length will be: (x+2)+5 = x+7
Area = 60 square ft.
Area = length * width
60 = (x+7) *x
60 = x^2 +7x
Rearranging
x^2 + 7x -60 = 0
Solving quadratic equation to find the value of x
using Quadratic formula
a=1, b =7, c=-60
Since width can be positive so x=5
length of original rectangle = x+2 = 5+2 =7
Area of original rectangle = Length * Width
Area of original rectangle = 5 * 7
Area of original rectangle = 35 ft^2
So, Option C is correct.
I believe that the answer would be B
Answer:
1. H0: σ2 ≤ 0.0008
Ha: σ2 > 0.0008
2. test statistic = 32.625
3. p value = 0.2931
4. D
Step-by-step explanation:
s² = 0.0009
alpha = 0.05
σ² = 0.0008 this is the value that we would be testing
1. <u>hypothesis</u><u>:</u>
H0: σ2 ≤ 0.0008
Ha: σ2 > 0.0008
2. <u>test </u><u>statistic</u><u>:</u>
X² = (n-1/σ²)s²
= ((30-1)/0.0008)0.0009
= 32.625
3. <u> </u><u>p-value:</u>
P(X² > 32.63) = 0.2931
4. <u>conclusion</u><u>:</u>
the p-value at 0.2931 is greater than alpha at 0.005, (0.2931>0.05). So the correct option is D. we do not reject H0. the sample does not support conclusion that the population variance specification is being violated.
