Answer:
4 mph
Step-by-step explanation:
Let :
Boat speed = 20 mph
speed of current = x mph
Distance against current = 2 miles
Distance with current = 3 miles
speed against current will be ; 20 - x
speed with current will be ; 20 + x
Time =distance / speed against time against = time with current
Solving Mathematically ;
2/(20-x )=3/(20 +x)
2(20+x )= 3( 20-x )
40+2x = 60-3x
3x +2x=20
5x=20
x = 20 / 5
x = 4 mph
Speed of current = 4 mph
Answer:
45000
Step-by-step explanation:
multiply by 10000 for kilo-deci
Answer:
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Step-by-step explanation:
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Using confidence interval concepts, it is found that the interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
<h3>What is a confidence interval?</h3>
It is given by the <u>sample proportion plus/minus the margin of error</u>, and a x% confidence interval means that we are x% sure the population proportion is in the interval.
134 of 420 randomly chosen likely voters indicated that they planned to vote for the Democratic candidate, hence:
p = 134/420 = 0.319
The margin of error for the statistic is 0.045, hence:
0.319 - 0.045 = 0.274
0.319 + 0.045 = 0.364
The interval estimate is (0.274, 0.364), and it means that we are x% sure(considering the confidence level) that the proportion of all voters in the city that plan to vote for the Democratic candidate is between these two values.
More can be learned about confidence interval concepts at brainly.com/question/25890103
<span>The surface of the triangle count formula
A = b*h*1/2
A - area
b - base
c - height
</span><span>The first triangle
A</span>₁ = b₁*h = 6in * 8in *1/2= 24in²
<span>The second triangle
</span>A₂ b₂*h = 10in * 8in*1/2 = 40in²
The total area of the two triangles is 24in² + 40in² = 64 square inches