Answer: x=−9/4
Step-by-step explanation:
Let's solve your equation step-by-step.
−2(x+14)+1=5
Step 1: Simplify both sides of the equation.
−2(x+14)+1=5(−2)(x)+(−2)(14)+1=5(Distribute)−2x+
−1
2
+1=5
(−2x)+(
−1
2
+1)=5(Combine Like Terms)
−2x+
1
2
=5
−2x+
1
2
=5
Step 2: Subtract 1/2 from both sides.
−2x+
1
2
−
1
2
=5−
1
2
−2x=
9
2
Step 3: Divide both sides by -2.
−2x
−2
=
9
2
−2
x=
−9
4
Answer:
The answer is option 3.
Step-by-step explanation:
You have to form an inequality expression and then solve it. Let x be the side of the square :



Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
Answer:
<h2>
4</h2>
Option A is the right option.
solution,
∆ABC~∆EDC

putting the values,

Hope this helps..
Good luck on your assignment..
To find the volume of the box you will use the volume of the sphere formula to find the radius of the circular region of the sphere. You wil then double the radius to find the diameter.
V = 4/3 x pi x r^3
972 x pi= 4/3 x pi x r^3
729 = r^3
The cubic root of 729 is 9 because 9 x 9 x 9 = 729.
The radius is 9 inches, and the diameter is 18 inches.
The volume of the box is 18 in x 18 in x 18 in or 5832 in.³.