Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
m
=
√
130
10
,
−
√
130
10
m
=
130
10
,
-
130
10
Decimal Form:
m
=
1.14017542
…
,
−
1.14017542
…
The length of each side of the polygon is the number of units on each side of the polygon, and the perimeter of the factory is 1000 feet
<h3>The length of each side of the polygon?</h3>
To do this, we simply calculate the number of units on each side of the polygon.
So, we have:
S1 = 5 units
S2 = 8 units
N1 = 13 units
E1 = 7 units
W1 = 3 units
W2 = 4 units
<h3>The perimeter of the polygon</h3>
This is the sum of the side lengths.
So, we have:
Perimeter = 5 + 8 + 13 + 7 + 3 + 4
Perimeter = 40
Each unit equals 25 feet.
So, we have:
Perimeter = 40 * 25 feet
Evaluate
Perimeter = 1000 feet
Hence, the perimeter of the factor is 1000 feet
Read more about perimeter at:
brainly.com/question/24571594
#SPJ2
Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
Answer:
k-7
70
Step-by-step explanation: it says no less than 70 implying it could be 70 or above. Greater than or equal to seventy is the correct answer.
Answer:
x=27
Step-by-step explanation:
To evaluate the expression: ![[(3^{-5})(3^4)]^3](https://tex.z-dn.net/?f=%5B%283%5E%7B-5%7D%29%283%5E4%29%5D%5E3)
Step 1: Innermost group, apply the product of powers (
Therefore:
We then have:
![=[3^{-1}]^3](https://tex.z-dn.net/?f=%3D%5B3%5E%7B-1%7D%5D%5E3)
Step 2: Apply the power of a power
![[3^{-1}]^3=3^{-1 \times 3} =3 ^{-3}](https://tex.z-dn.net/?f=%5B3%5E%7B-1%7D%5D%5E3%3D3%5E%7B-1%20%5Ctimes%203%7D%20%3D3%20%5E%7B-3%7D)
Step 3: Apply the negative exponent
Step 4: Simplify
Therefore, the value of x in the simplified expression is 27.
