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Vlada [557]
3 years ago
10

Write a real world situation that could be modeled by the equation 30 X equals 48+22

Mathematics
1 answer:
frez [133]3 years ago
3 0
Bob got did 30 sit up every day for X days. X is equal to 48+22. How many days did Bob do 30 sit ups?
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If a sample of 362 customers is taken from a population of 5530 customers,
inysia [295]

Using concepts of <u>sample and population</u>, it is found that the sample variance is representative of 362 and 5530 customers ages, option D.

------------------------

In sampling, the <u>information is taken from a sample</u>, and is used to <u>estimate it for the whole population</u>.

  • In this problem, we have a sample of 362 and a population of 5530 customers.
  • The sample variance s^2 is calculated from the sample, and used as an estimate for the population variance. Thus, it can be said that it represents both 362 and 5530 customers, and the correct option is D.

A similar problem is given at brainly.com/question/4086221

6 0
1 year ago
A container is the shape of an inverted right circular cone has a radius of 4.00 inches at the top and a height of 5.00 inches.
Len [333]

The rate at which the water from the container is being drained is 24 inches per second.

Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.

Looking at the image we can use similar triangle propert to derive the relationship:

r/R=h/H

where dh/dt=2.

Thus r/5=2/5

r=2  inches

Now from r/R=h/H

we have to  write with initial values of cone and differentiate:

r/5=h/5

5r=5h

differentiating with respect to t

5 dr/dt=5 dh/dt

dh/dt is given as 2

5 dr/dt=5*-2

dr/dt=-2

Volume of cone is 1/3 πr^{2} h

We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.

Thus

dv/dt=1/3 π(2rh*dr/dt)+(r^{2}*dh/dt)

Putting the values which are given and calculated we get

dv/dt=1/3π(2*2*2*2)+(4*2)

=1/3*3.14*(16+8)

=3.14*24/3.14

=24 inches per second

Hence the rate at which the water is drained from the container is 24 inches per second.

Learn more about differentaiation at brainly.com/question/954654

#SPJ4

5 0
1 year ago
Suppose an isosceles triangle has two sides of length 42 and 35, and that the angle between these two sides is 120 degree. what
Citrus2011 [14]
Suppose that a=42, b=35, c is unknown, and C = 120°

c^2 = a^2 + b^2 -2ab(cosC)

c^2 = 42^2 + 35^2 -(2*42*35*cos120)&#10;&#10;(cos120=-0.5)&#10;&#10;c^2 = 1764 + 1225 -(2940*cos120)&#10;&#10;c^2 = 2989 -(2940*-0.5)&#10;&#10;c^2 = 2989+1470&#10;&#10;c^2=4459&#10;&#10;c= \sqrt{c^2} &#10;&#10;c=\sqrt{4459}
3 0
3 years ago
the tank is 600 cubic meters. the height of tank is 6 meters. the base of the tank is square what is the side of the side of the
harkovskaia [24]
Volume (tank)=base x heitht
base is a squeare, so base=side²

Volume(Tank)=side² * height
600 m³=side² * 6 m
side²=600 m³/ 6 m
side²=100 m²
side=√(100 m²)=10 m.

answer: the side of the base is 10 m.
5 0
3 years ago
Raisa receives a 7% commission on all items that she sells. Her commission for her sales on Monday was $47.25. What was the doll
Alex73 [517]

Answer:

$675

Step-by-step explanation:

Let s represent her Monday sales.

Raisa receives a 7% commission on her sales.  In this case the commission was $47.25, representing 0.07s.

Solve for s:  Divide both sides of 0.07s = $47.25 by 0.07:


s = $47.25/0.07 =  $675.

The dollar value of her sales was $675.

4 0
2 years ago
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