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coldgirl [10]
3 years ago
10

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.

You might be interested in
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 )

x= -10

5 0
3 years ago
Read 2 more answers
HELP ASAP!!
kiruha [24]

Answer:

Step-by-step explanation:

hello:

here an solution

3 0
2 years ago
Find all the solutions for the equation:
Contact [7]

2y^2\,\mathrm dx-(x+y)^2\,\mathrm dy=0

Divide both sides by x^2\,\mathrm dx to get

2\left(\dfrac yx\right)^2-\left(1+\dfrac yx\right)^2\dfrac{\mathrm dy}{\mathrm dx}=0

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2\left(\frac yx\right)^2}{\left(1+\frac yx\right)^2}

Substitute v(x)=\dfrac{y(x)}x, so that \dfrac{\mathrm dv(x)}{\mathrm dx}=\dfrac{x\frac{\mathrm dy(x)}{\mathrm dx}-y(x)}{x^2}. Then

x\dfrac{\mathrm dv}{\mathrm dx}+v=\dfrac{2v^2}{(1+v)^2}

x\dfrac{\mathrm dv}{\mathrm dx}=\dfrac{2v^2-v(1+v)^2}{(1+v)^2}

x\dfrac{\mathrm dv}{\mathrm dx}=-\dfrac{v(1+v^2)}{(1+v)^2}

The remaining ODE is separable. Separating the variables gives

\dfrac{(1+v)^2}{v(1+v^2)}\,\mathrm dv=-\dfrac{\mathrm dx}x

Integrate both sides. On the left, split up the integrand into partial fractions.

\dfrac{(1+v)^2}{v(1+v^2)}=\dfrac{v^2+2v+1}{v(v^2+1)}=\dfrac av+\dfrac{bv+c}{v^2+1}

\implies v^2+2v+1=a(v^2+1)+(bv+c)v

\implies v^2+2v+1=(a+b)v^2+cv+a

\implies a=1,b=0,c=2

Then

\displaystyle\int\frac{(1+v)^2}{v(1+v^2)}\,\mathrm dv=\int\left(\frac1v+\frac2{v^2+1}\right)\,\mathrm dv=\ln|v|+2\tan^{-1}v

On the right, we have

\displaystyle-\int\frac{\mathrm dx}x=-\ln|x|+C

Solving for v(x) explicitly is unlikely to succeed, so we leave the solution in implicit form,

\ln|v(x)|+2\tan^{-1}v(x)=-\ln|x|+C

and finally solve in terms of y(x) by replacing v(x)=\dfrac{y(x)}x:

\ln\left|\frac{y(x)}x\right|+2\tan^{-1}\dfrac{y(x)}x=-\ln|x|+C

\ln|y(x)|-\ln|x|+2\tan^{-1}\dfrac{y(x)}x=-\ln|x|+C

\boxed{\ln|y(x)|+2\tan^{-1}\dfrac{y(x)}x=C}

7 0
3 years ago
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