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3 years ago

Calvin's mp3 player has a 2GB

Mathematics

1 answer:

krok68 [10]3 years ago

3 0

Answer:

1000

Step-by-step explanation:

You just have to multiply by two

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John needs to cut three strips of wood, 25.5cm, 15.3cm and 9.25cm long. He has a strip that is 72cm long. How long will the left

kaheart [24]

The strip remaining will be 21.95cm long

6 0

3 years ago

Multiply 4-6i and -4+2i

umka2103 [35]

Answer:

-4 + 32i

Step-by-step explanation:

use the distributive property to multiply

remember: i^2 = 1

(4 - 6i)(-4 + 2i)

-16 + 8i + 24i - 12i^2

-16 + 32i - 12(- 1)

-16 + 32i +12

-4 + 32i

3 0

3 years ago

Read 2 more answers

What is the least common multiple of 52 and18

DanielleElmas [232]

The least common multiple is 468.

You can make a list of the multiples...

52: 52, 104... eventually 468

18: 18, 36, eventually 468.

This method is simple and easy. By listing all multiples (I only showed a few just to teach the strategy), you can find the first number that both is a factor of both numbers.

Hope this helps! :)

4 0

3 years ago

What is the value of x? The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angl

Vanyuwa [196]

Triangle ABC has:
∡ABC = 90°
∡BAC = 45°
Therefore also ∡BCA = 45°
This means that ABC is isosceles and that each leg is:
l = √2/2 · h
Since the hypotenuse of ABC is AC = 6√2
BC = √2/2 · <span>6√2 = 6

Now, consider the triangle BCD:
</span>∡BDC = 90°
∡DBC = 60°
which means that: ∡BCD = 30°
In such triangles, the side opposite to the angle of 30° is 1/2 · h
Since the hypotenuse is BC = 6, we have:
BD = <span>1/2 </span>· 6 = 3

Hence, x = 3

3 0

4 years ago

Read 2 more answers

The weight of an organ in adult males has a bell-shaped distribution with a mean of 330 grams and a standard deviation of 15 gr

wolverine [178]

Answer: a) (315,345) b) 99.7%, c) 0.14%, d) 97.36%

Step-by-step explanation:

Since we have given that

Mean = 330 grams

Standard deviation = 15 grams

(a) About 68% of organs will be between what weights? 

We will use 68-95-99.7 rule, it is empirical.

as we know that

$P(\mu-\sigma\leq X\leq \mu +\sigma)\approx 0.6827$

So,

$\mu -\sigma=330-15=315\\\\\mu+\sigma=330+15=345$

So,the 68% of the data falls within three standard deviation or will be between (315 grams and 345 grams)

(b) What percentage of organs weighs between 285 grams and 375 grams?

$\mu+3\sigma=330+3\times 15=330+45=375\\\\\mu-3\sigma=330-3\times 15=330-45=285$

so, 99.7 % of organs weighs between 285 grams and 315 grams, because the these two values are within one standard deviation of the mean.

(c) What percentage of organs weighs less than 285 grams or more than 375 grams? 

Since it is 3 standard deviation below the mean and 3 standard deviations above the mean.

so, it becomes

$1-0.9973=0.0027\\\\\dfrac{0.0027}{2}=0.00135\\\\So,0.00135\times 100=0.135\%=0.14\%$

Since 285 grams is 3 standard deviation below the mean(=330 grams) and 375 grams is 3 standard deviation above the mean(=330 grams).

So 0.14% data is lies below the 285 grams and 0.14% data is lies above the 375 grams.

(d) What percentage of organs weighs between 300 grams and 375 grams?

$\mu-2\sigma=330-2\times 15=330-30=300\\\\\mu+3\sigma=330+3\times 15=330+45=375$

So, 300 grams is 2 standard deviation below the mean i.e. 330 grams and 375 grams is 3 standard deviation above the mean i.e. 330 grams.

so, percentage of organs weighs would be

$100-2.5-0.14=97.36\%$

Hence, a) (315,345) b) 99.7%, c) 0.14%, d) 97.36%.

4 0

3 years ago

Read 2 more answers