Answer:
x = 10
Step-by-step explanation:
=> 4x + 1 + 2x = 61
=> 6x = 61 - 1
=> 6x = 60
=> x = 60/6
=> x = 10
<u>Hence</u><u> </u><u>the</u><u> value</u><u> of</u><u> x</u><u> </u><u>is</u><u> </u><u>1</u><u>0</u><u> </u><u>.</u>
Answer:
Step-by-step explanation:
1. According to this theorem, when a line is a parallel with one of the sides of the triangle and touch or intersect the other two sides of this triangle, then this two sides are divide proportionally by the line.
2. Keeping the information above on mind, you can see that the line CD is parallel to AB and intersect the sides AE And BE, therefore, you con conclude the following:
Answer:
He walks 10kph.
Steps:
So he walks 1km every 0.1 hour,
1 * 10 = 10
^
(which is 1.0 hour)
Answer:
The 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)
Step-by-step explanation:
Confidence Interval for difference between two means =
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
Where
μ1 = mean 1 = 12 mins
σ1 = Standard deviation 1 = 2 mins
n1 = 100
μ2= mean 2 = 11 mins
σ2 = Standard deviation 2 = 3 mins
n1 = 50
z score for 95% confidence interval = 1.96
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
= 12 - 11 ± 1.96 × √2²/100 + 3²/50
= 1 ± 1.96 × √4/100 + 9/50
= 1 ± 1.96 × √0.04 + 0.18
= 1 ± 1.96 × √0.22
= 1 ± 1.96 × 0.469041576
= 1 ± 0.9193214889
Confidence Interval
= 1 - 0.9193214889
= 0.0806785111
≈ 0.081
1 + 0.9193214889
= 1.9193214889
≈ 1.919
Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)
I'm not 100% sure it's correct but it's 15(2)-5(2)=x+9(3)8(3)
30-10=20+27-24=3
23