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IRINA_888 [86]
3 years ago
7

How many such cubes are required to completely pack the prism without any gap or overlap?

Mathematics
2 answers:
ziro4ka [17]3 years ago
6 0

Answer:

1152

Step-by-step explanation:

shtirl [24]3 years ago
3 0

Answer:

576

Step-by-step explanation:

i took the test

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Which function is the inverse of f(x) = 2x + 3?
olga_2 [115]

Answer: Option 2

Step-by-step explanation:

Let f(y)=x.

x=2y+3\\\\x-3=2y\\\\y=\frac{1}{2}x-\frac{3}{2}\\\\f^{-1}(x)=\frac{1}{2}x-\frac{3}{2}

8 0
2 years ago
250 students out of 3,000 have found that math is their favorite subject among 10 subjects they are studying. If the choice of f
Oksi-84 [34.3K]

Answer:

The randomization distribution is created under the assumption that H₀: p = 0.1

The randomization distribution will also be centred at 0.1

Step-by-step explanation:

If the distribution was truly random, 1 out of 10 students will choose math as his/her favorite subject.

This means that the randomization will have the null hypothesis saying that the proportion of students who will choose maths as their favourite subject = 0.1

Mathematically, it'll be written as

The null hypothesis is given as

H₀: p = 0.1

And the randomization distribution will be centred at 0.1 too.

The alternative hypothesis will now prove the theory they're looking to see in the question that

Hₐ: p < 0.1

Hope this Helps!!!

5 0
3 years ago
Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the
STatiana [176]
480 pennies.

25% are dated before 1980, therefore:
1200(total):100 = 12 (1%)
12(1%)x25 = 300 (25%)

35% are dated from 1980 to 2000, therefore:
12(1%)x35 = 420 (35%)

25% are dated before 1980, 35% are dated from 1980 to 2000 and the rest are dated after 2000.
25% + 35% = 60%.
300(25%) + 420(35%) = 720.
60% = 720.
100%-60% = 40%.
40% is the amount of pennies that are dated after 2000.

The total (100%) of the pennies is 1200.
We also know that 60% of the total (1200) is 720.

1200(100%) - 720(60%) = 480(40%).

Therefore, the amount of pennies dated after 2000 in Russell’s Collection is 480.
7 0
2 years ago
Find 2 a for a = 3 1/4<br> 1) 6 1/2<br> 2) 6 1/4<br> 3) 23 1/4<br> 4) 5 1/2
Nataly_w [17]

Answer:

  1)  6 1/2

Step-by-step explanation:

Put 3 1/4 where "a" is and do the arithmetic.

  2(3 1/4) = 2·3 + 2·(1/4) = 6 2/4 = 6 1/2

4 0
3 years ago
Alan and Margot each drive from City A to City B, a distance of 147 miles. They take the same route and drive at constant speeds
Westkost [7]

Answer:

Margot gets from A to B faster

Step-by-step explanation:

Alan takes 2 hr and 35 min = 2. 58... hr

Margot takes 147/64 hr = 2.296.. hr

7 0
3 years ago
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