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4 years ago

Help Please, first one to answer gets BRAINLIEST!

Mathematics

2 answers:

mariarad [96]4 years ago

5 0

Answer:

Length 1 1/4 = 10 /8 = 10 cubes L

width = 5/8 = 5 cubes W

Height = 3/4 = 6/8 = 6 cubes H

10 x 5 x 6 = 300 little cubes

PtichkaEL [24]4 years ago

3 0

Answer: D . 300

Step-by-step explanation:

First find the volume of the rectangular prism with the dimension .

To find the volume, multiply the length by the width by height.

The length is 1 1/4 turn it into an improper fraction.

1 1/4 = 5/4

Now multiply the three fractions

$\frac{5}{4}$ * $\frac{5}{8} * \frac{3}{4}$ = $\frac{75}{128}$

Now notice that the that in the second statement it says the side length of the cube is 1/8. So we need to find the volume of a single cube multiply the length by the with by the height. All sides of a cube are equal so you can just cube the side length to find the volume.

V= s^3

V= (1/8)^2

v = 1/512

Now since we know that the volume of a single cube is 1/512 will will divide the volume of the rectangle by the volume of cubes to find out how many cubes are needed to fill the rectangular prism.

$\frac{75}{128} / \frac{1}{512}$ = 38400/128 = 300

In this case 300 unit cubes are needed to fill the rectangular prism.

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(a) An article in a medical journal suggested that approximately 14% of such operations result in complications. Using this esti

aev [14]

This question is incomplete, the complete question is;

Surgical complications: A medical researcher wants to construct a

99.5% confidence interval for the proportion of knee replacement surgeries that result in complications.

- An article in a medical journal suggested that approximately 14% of such operations result in complications. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.08?

Answer: a sample of operations needed is 149

Step-by-step explanation:

Given that;

confidence interval = 99.5% = 0.995 so

margin of error E = 0.08

p = 14% = 0.14

now we obtain the critical value of z t the 99.5 confidence interval

∝ = 1 - confidence interval

∝ = 1 - 0.995

∝ = 0.005

∝/2 = 0.0025

obtaining the area of probability in the right tail

Area of probability to the right is = 1 - 0.0025 = 0.9975

from probability table; critical value of t =2.81

using the formula

n = p( 1 - p ) [ (z_∝/2)/E)² ]

so we substitute

n = 0.14 ( 1 - 0.14 ) [ 2.81 / 0.08 )²

n = (0.14 × 0.86 ) × 1233.7656

n = 148.5453 ≈ 149

Therefore , a sample of operations needed is 149

4 0

3 years ago

Julie has a jewlery box shaped like a cube. The volume of the jewlery box is v cubic inches. Write an

Stolb23 [73]

Answer: ∛v

Step-by-step explanation:

Since we know volume is measured height x width x length, we know the equation we'd use here would be:

___ x ___ x ___ = v in³

If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.

I really hope I was able to explain easy enough, feel free to ask anything else!

7 0

3 years ago

3 teachers each bought a box of markers and 2 notebooks. The box of markers cost $2.50. The total was $12.00. Write an equation

larisa [96]

Answer:

$1.12

Step-by-step explanation:

12÷3=4

1 box of markers is $2.50, Multiply $2.50 by 3 and you get $7.50. 12- $7.50= $4.50. $4.50÷ 2= $2.25. $2.25÷2= $1.12

Not 100% but i'm pretty sure this is the answer. Hope this helps. ( if i'm wrong sorry its 2:30 am)

4 0

2 years ago

Help please !!!! Will give brainlist

krok68 [10]

Answer:

1. 5/6

2. 7/8

3. 1/2

4. 5/4

5. 4/5

6. 5/4

7. 11/12

8. 5/2

9. 11/12

10. 2/3

11. 13/20

12. 1/12

13. 7/22

14. 7/18

15. 2/3

16. 5/12

17. 5/12

18. 3/8

4 0

4 years ago

The height of a model rocket is 4.5% of the height of the actual rocket.The model is 1.22 m high.How high is the actual rocket

Serjik [45]

Answer:

Actual Height = 27.11 m

Step-by-step explanation:

Given:

Height of model rocket = 4.5 % of actual Height

Model Height = 1.22 m

To Find:

Actual Height of rocket = ?

Solution:

We have to Find the Actual Height of the rocket

Let actual height be x

Now it is given that

Height of model rocket = 4.5 % of actual Height

As we have the values so putting it in it becomes

1.22 = 4.5 % * x

it could be written as

$1.22=\frac{4.5}{100}*x$

Multiplying both sides by $\frac{100}{4.5}$

it becomes

1.22* $\frac{100}{4.5}$ = x

$\frac{122}{4.5}$ = x

27.11 m =x

Actual Height = 27.11 m

6 0

3 years ago