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3 years ago

Select the correct answer.

Mathematics

2 answers:

Tanya [424]3 years ago

7 0

Answer: The sample portion would less closely model the population proportion

Mnenie [13.5K]3 years ago

3 0

Answer:

Answer is that is will less closely model to the total population.

Step-by-step explanation:

This is because there are less numbers to be chosen and will be harder to find a proper medium and mean.

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A motorboat travels 220 kilometers in 4 hours going upstream. It travels 260 kilometers going downstream in the same amount of t

aliya0001 [1]

Answer: The rate of boat is 60 kmh.

The rate of current is 5 kmh.

Step-by-step explanation:

Alright, lets get started.

Suppose the rate of boat in still water is : b kmh

Suppose the rate of current is : c kmh

When the boat is going upstream, the relative speed will be : $(b-c)$

When the boat is going downstream, the relative speed will be: $(b+c)$

Boat travels 220 kilometers in 4 hours going upstream.

$speed=\frac{distance}{time}$

$(b-c)=\frac{220}{4}$ .................. equation (1)

It travels 260 kilometers going downstream in the same amount of time.

$(b+c)=\frac{260}{4}$ ................... equation (2)

Adding equation 1 and 2

$b-c+b+c=\frac{220}{4}+\frac{260}{4}$

$2b=\frac{480}{4}$

$2b=120$

$b=60$

Plugging the value of b as 60 in equation 2

$60+c=\frac{260}{4}$

$60+c=65$

$c=5$

Hence the rate of boat is 60 kmh.

Hence the rate of current is 5 kmh.

Hope it will help :)

6 0

3 years ago

A line of roses forms the diagonal of a rectangular flower garden. Th e line of roses is 18.4 m long, and one side of the garden

professor190 [17]

Given that the garden is rectangular and a line of roses form the diagonal 18.4 m long, we required to calculate the length of the perpendicular side.
Here we shall use the Pythagorean theorem.
c²=a²+b²
where c is the hypotenuse, a and b are the legs.
from the information given:
c=18.4 m
a=13 m
plugging this into our expression we get:
18.4²=13²+b²
next we solve for the value of b
b²=18.4²-13²
b²=338.56-169
b²=169.56
b=√169.56
b=13.0215
hence the length to the nearest tenth of a meter will be approximately 13.0 m

6 0

3 years ago

Solve for x. 4x – 34 = 8x + 6 *

9966 [12]

Answer:

x= -10

Step-by-step explanation:

Subtract 8x from 4x ( -4x )

-4x-34=6

Add 34 to 6 ( 40 )

-4x=40

Divide by -4 ( -10 )