Hello there!
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓
First you had to subtract by 7 from both sides of the equation.
Simplify
Then you add by x from both sides of the equation.
Simplify
Divide by 4 from both sides of the equation.
Simplify it should be the correct answer.
Answer⇒⇒⇒x=-2
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The inequality to find possible <em>distances</em> from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.
<h3>Inequality</h3>
Minimum distance=(50×2)
Minimum distance=100 miles
Time (T) required to cover the distance (D)
Time=D/50 hours
Inequality is 2+D/50≤6
Hence:
Let solve for Distance (D)
D/55≤6-2
D≤4×50
≤200
Therefore the inequality to find possible <em>distances</em> from Alexandria's home to a park that satisfies the conditions is: 2+D/50≤6 and the distance is 200 miles.
Learn more about inequality here:brainly.com/question/22857154
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Answer:
4 units
Step-by-step explanation:
Distance like magnitude is simply a positive value
----------------------------
Since the y coordinate is the same
the distance is just the difference in the x coordinates
from -5 to -1 is a distance of 4
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)
Point slope form is y-y1=m(x-x1)
where y1 and x1 represents the (x,y) point
Where m represents the slope
We need the slope and one point which you have given : m=2 (5,-5) —> x=5 y=-5
Y-(-5)=2(x-(5)) which simplified is
**Y+5=2(x-5)**
