Answer:
Answer choice C) 3a-3
Step-by-step explanation:
Your perimeter is of (10a-6). The first step would be multiply 2a by 2 since you have to sides. Which would give you to 4a. Next you will have to subtract 4a from (10a-6). This would give you 6a-6. Finally divide by two and you will get 3a-3.
Answer:
Lol ..... I don't know the answer :D :P
Step-by-step explanation:
L.H.S x 0 = 0
R.H.S x 0 = 0
L.H.S = R.H.S
Hence , proved .....
Answer:
<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>
<em>(2.91562, 3.04438)</em>
Step-by-step explanation:
<u><em>Step:1</em></u>
Given that the size of the sample 'n' = 10
Given that the mean of the sample (x⁻) = 2.98
Given that the standard deviation of the sample (s) = 0.09
Degrees of freedom = n-1 = 10 -1 = 9
t₀.₁₀ = 2.2621
<u><em>Step:2</em></u>
<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>


(2.98 - 0.06438 , 2.98 + 0.06438)
(2.91562 , 3.04438)
<u><em>Final answer:-</em></u>
<em>The 90% confidence interval for the population mean length of nails produced by the machine.</em>
<em>(2.91562, 3.04438)</em>
Answer:
<u>56.5 ft</u>
Step-by-step explanation:
See the attached figure which represents the explanation of the problem.
We need to find the length of the tree to which is the length of AD
From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft
At ΔABD:
∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°
∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°
Apply the sine rule at ΔABD
∴
∴ 18/sin 18 = AD/sin 76
∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)
So, The length of the tree = 56.5 ft.
<u>The answer is 56.5 ft</u>
Answer: 100.8
Step-by-step explanation:
Given that:
Standard deviation (σ) = 16
X > 100
From the z table :
Zscore = P(X > 100) = - 0.05
Zscore = - 0.05
Thus ;
Zscore = (x - m) / σ
x = 100
-0.05 = ( 100 - m) / 16
-0.05 * 16 = 100 - m
- 0.8 = 100 - m
m = 100 + 0.8
Mean = 100. 8
Mean score = 100.8