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VashaNatasha [74]
3 years ago
14

You could win a giant jar of M&Ms, if only you could guess how many are in the jar. You find a smallerjar such that the gian

t one is exactly four times the smaller one in each dimension. If you count 115M&Ms in the smaller jar, about how many should be in the larger jar?
Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0

Answer:

There are 7360 M&Ms in larger jar.

Step-by-step explanation:

We are given the following in the question:

A giant jar is such that it is exactly four times times the smaller jar in dimensions.

If r and h is the radius and height of the cylindrical jar respectively, then the dimensions of the larger are:

R = 4r\\H=4h

Number of M&Ms in smaller jar = 115

Volume of smaller jar =

v = \dfrac{1}{3}\pi r^2 h

Volume of larger jar =

V =\dfrac{1}{3}\pi R^2 H=\dfrac{64}{3}\pi r^2 h

Number of M&Ms in larger jar:

v = \dfrac{1}{3}\pi r^2 h\rightarrow 115\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 115\times 64\\\\V=\dfrac{64}{3}\pi r^2 h\rightarrow 7360

Thus, there are 7360 M&Ms in larger jar.

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For which of the following is the shape of the sampling distribution of the sample mean approximately normal? a random sample of
RSB [31]

Answer:

a random sample of size 5 from a population that is approximately normal

a random sample of size 60 from a population that is strongly skewed to the left.

Step-by-step explanation:

They are both correct

6 0
2 years ago
BOIS
sineoko [7]

The event will have 27 tables, with 2 adults and 3 children in each table.

Step-by-step explanation:

The greatest number of tables the planner can set up is determined by finding the greatest common factor in 54 and 81. This is given by;

     54         81----------------divided by 3

3     18          27---------------divided by 3

3       6          9---------------divided by 3

3        2         3---------------no common divisor

The greatest number of table will be given by : 3×3×3=27

The number of adults in each table will be 2

The number of children in each table will be 3

Learn More

Greatest common factor : brainly.com/question/13133626

Keyword : greatest number

#LearnwithBrainly

4 0
3 years ago
Which complex number has an absolute value of 5?<br> -3 + 4i<br> 2 +3i<br> 7-2i<br> 9 +4i
fiasKO [112]

Answer:

-3+4i

Step-by-step explanation:

on a graph the complex number is (-3,4) The magnitude is -3^2+4^2=c^2

c=5 when solved

6 0
3 years ago
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HELP ME Using the following equation, complete the square and find the center and radius of the circle:
IrinaK [193]

Answer: (-2,3), r=5\ \text{units}

Step-by-step explanation:

Given

the equation is x^2+y^2+4x-6y-12=0

completing the square

\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2

Thus, the center of the circle is (-2,3) and radius is r=5\ \text{units}

5 0
3 years ago
You buy milk in 1 gallon containers. One portion of waffles requires 0.4 ounces of milk. How many portions can be made with one
xenn [34]

320 portions of waffles can be made with one container.

Step-by-step explanation:

Given,

Milk is bought in 1 gallon container.

One portion of waffles require = 0.4 ounces of milk

We know that;

1 gallon = 128 ounces

Now;

No. of portions of waffles = \frac{Total\ ounces\ of\ milk}{Milk\ used\ per\ waffle}

No. of portions of waffles = \frac{128}{0.4}

No. of portions of waffles = 320

320 portions of waffles can be made with one container.

5 0
3 years ago
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