Answer: 13.7 in²
<u>Step-by-step explanation:</u>
Area of Square:
A = s²
= 8²
= 64
Area of Circle:
A = π r²
= π (4)²
= 16π
≈ 50.3
Area of Square - Area of Circle:
64 - 50.3 = 13.7
Answer:
The interval is (2.7512, 2.8488)
Step-by-step explanation:
Given that:
The mean (μ) = 2.9 hours
The standard deviation (σ) = 0.24 hours
n = 14 pound turkey
The confidence interval (c) = 95% = 0.95
α = 1 - 0.95 = 0.05
The Z score of is the z score of 0.025 which is the same z score of 0.475 (0.5 - 0.025).
Therefore the margin of error E is given as
E = = 1.96 × 0.0759 = 0.1488
The interval is = (2.9 - 0.1488, 2.9 + 0.1488) = (2.7512, 2.8488)
The interval is (2.7512, 2.8488)
Kx= 4
// Solve equation [1] for the variable x
<span> [1] 6x = 24y - 30
[1] x = 4y - 5</span>
// Plug this in for variable x in equation [2]
<span><span> [2] -12•(4y-5) - 24y = -36
</span><span> [2] - 72y = -96
</span></span>
// Solve equation [2] for the variable y
<span><span> [2] 72y = 96</span>
<span> [2] y = 4/3</span> </span>
// By now we know this much :
<span><span> x = 4y-5</span>
<span> y = 4/3</span></span>
<span>// Use the y value to solve for x
</span>
<span> x = 4(4/3)-5 = 1/3 </span>Solution :<span><span> {x,y} = {1/3,4/3}</span></span>
To factor (x² +10x+24); you first have to ask yourself, what 2 numbers will multiply and give me positive 24, but add and give me positive 10? After listing your factors, (1,24)(2,12)(3,8)and (4,6); you decide that (4*6)=24 & adds to get you 10. Meaning that (x²+10x+24) factors are (x+4)(x+6).
Now algebraically, there wouldn't be any other possible value of b, 6, because if you put (-6) & (4), those numbers will multiply and give you (-24) and add & give you (-2); & that is not what you're looking for.
I hope I explained this enough for you to understand. (: