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Dafna11 [192]
3 years ago
5

A right rectangular prism has edges measuring 3/4 inch, 1 inch, and 1/4 inch. How many cubes with side lengths of 1/4 would be n

eeded to fill the prism?
Mathematics
2 answers:
S_A_V [24]3 years ago
7 0

Answer:

Step-by-step explanation:

Number of cubes = Volume of rectangular prism / Volume of 1 cube

Volume of rectangular prism= length * width * height

              =\frac{3}{4}*1*\frac{1}{4}\\\\=\frac{3}{16}cubic inches

Volume of Cube= edge * edge *edge

                  =\frac{1}{4}*\frac{1}{4}*\frac{1}{4}\\\\=\frac{1}{64}cubic inches

Number of cubes= (3/16)÷(1/64)

            =\frac{3}{16}*\frac{64}{1}\\\\=3*4

            = 12 cubes

MAVERICK [17]3 years ago
4 0

Answer: 8

Step-by-step explanation:

Ask yourself how many can go into each number? 1/4=1.

1=4.

3/4=3.

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Answer:

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Step-by-step explanation:

The test to carry out is:

Null hypothesis  H₀    is                           μ₀ = 30  

The alternative hypothesis                      m  ≠ 30

In which we already have the value of z for each case therefore we look  directly the probability in z table and carefully take into account that we had been asked for differences from the mean (0.5)

a)  z = 2.1   correspond to  0.9821  but mean value is ubicated at 0.5 then we subtract    0.9821 - 0.5  and get 0.4821   or 48.21 %

b)  z = -1.75   P(m) = 0.0401     That implies the probability of m being from that point p to the end of the tail, the difference between this point and the mean so 0.5 - 0.0401 = 0.4599 or 45.99 %

c)  z = -.55    P(m) = 0.2912    and this value  for same reason as before is 0.5 - 0.2912 = 0.2088  or 20.88 %

d)  z = 1.41     P(m) = 0.9207    0.9207 -0.5     0.4207  or  42.07 %

e)  z = -5.3   P(m) = 0    meaning there is not such value in z table is too small to compute  and difference to mean value will be 0.5  

d)  z= 1.41      P(m) =

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