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KatRina [158]
3 years ago
14

Factor completely 3x^5-75x^3=

Mathematics
1 answer:
KiRa [710]3 years ago
7 0

Answer:

\huge\boxed{3x^5-75x^3=3x^3(x-5)(x+5)}

Step-by-step explanation:

3x^5=3\cdot x^{3+2}=3\cdot x^3\cdot x^2=\boxed{3x^3}\cdot x^2\\\\75x^3=25\cdot\boxed{3x^3}\\\\3x^5-75x^3=3x^3(x^2-25)=3x^3(x^2-5^2)\\\\\text{Use}\ a^2-b^2=(a-b)(a+b)\\\\=3x^3(x-5)(x+5)

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An investigator wants to estimate caffeine consumption in high school students. how many students would be required to estimate
astraxan [27]

We can solve this problem by referring to the standard probability distribution tables for z.

We are required to find for the number of samples given the proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value of z equivalent to:

z = 1.96

Since the problem states that it should be within the true proportion then p = 0.5

Now we can find for the sample size using the formula:

n = (z^2) p q /E^2

where,

<span> p = 0.5</span>

q = 1 – p = 0.5

E = estimate of 5% = 0.05

Substituting:

n = (1.96^2) 0.5 * 0.5 / 0.05^2

n = 384.16

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6 0
3 years ago
A car travels 20 1/2 miles in 2/3 of an hour. What is the average speed, in miles per hour, of thr car?
zmey [24]

Answer:

27.33333... mph

Step-by-step explanation:

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That equals 6.83333...

Now add 20 1/2 and 6.83333 = 27.3333...

Therefore, 27.33333... mph

3 0
2 years ago
The distance from the Earth to the Moon is 384 000 km. Work out the time it would take a car travelling at 100 km/h to travel 38
suter [353]

Answer:

3840

Step-by-step explanation:

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8 0
2 years ago
Match each table with the equation that represents the same proportional relationship. Match each table with the equation that r
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7 0
2 years ago
deenas water bottle can hold a total of 2/5 liter of water. johns water bottle can hold a total of 5/2 liter of water whose wate
Alexandra [31]
John's. Find the first common multiple of both denominators, in this case it's going to be ten, then the number you had to multiply to change these numbers to the common multiply you do to the numerators. so it works out like so:

Deena has a bottle of 4/10
John has a bottle of 25/10 or 2 1/2 (simplified)
8 0
3 years ago
Read 2 more answers
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