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asambeis [7]
3 years ago
10

3y^4+9y^3-120y^2=0 Need Answer ASAP

Mathematics
2 answers:
Shkiper50 [21]3 years ago
7 0

Answer:

y  =  0 ,  5 ,  − 8

(* ̄3 ̄)╭

andrey2020 [161]3 years ago
5 0

3y^4+9y^3-120y^2=0\\y=0,5,8

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After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the
Otrada [13]

Answer:

Original side of triangle = 6 units

Step-by-step explanation:

Given:

Perimeter = 45 units

Scale factor = 2.5 (Increase)

Find:

Original side of triangle = ?

Computation:

Original Perimeter = Perimeter / Scale factor

Original Perimeter = 45 units / 2.5

Original Perimeter = 18 units

Perimeter of an equilateral triangle = 3 (Side)

18 units = 3 (Side)

Side = 6 units

Original side of triangle = 6 units

4 0
3 years ago
a cylindrical well has a radius of 10 feet and a height of 15 feet what volume of water will it take to fill in the well
vampirchik [111]

Volume of water will it take to fill in the well is 4710 cubic feet

<h3><u>Solution:</u></h3>

Given that a cylindrical well has a radius of 10 feet

Height of cylindrical well = 15 feet

To find: volume of water will it take to fill in the well

Since, the well is in the form of cylinder, This means that we need to find the volume of cylindrical well

<em><u>The volume of cylinder is given as:</u></em>

\text { Volume of water in the well }=\pi r^{2} h

Where "r" is the radius and "h" is the height of cylinder

Substituting the given values we get,

\begin{array}{l}{\text { Volume of water in the well }=(3.14) \times(10)^{2} \times(15)} \\\\ {=(3.14) \times(1500)=4710}\end{array}

\text { Volume of water in the well }=4710 \text { feet }^{3}

Hence, the amount of water that can be stored in the well is 4710 cubic feet

7 0
3 years ago
There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha
uranmaximum [27]

Answer:

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

0.933 = 93.3% probability that the second machine produces an acceptable cork.

The second machine is more likely to produce an acceptable cork.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

What is the probability that the first machine produces an acceptable cork?

The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that \mu = 3, \sigma = 0.1

Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.

X = 3.1

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.1 - 3}{0.1}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 2.9

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.9 - 3}{0.1}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)

For the second machine, we have that \mu = 3.04, \sigma = 0.04. Same probability we have to find out. So

X = 3.1

Z = \frac{X - \mu}{\sigma}

Z = \frac{3.1 - 3.04}{0.04}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

X = 2.9

Z = \frac{X - \mu}{\sigma}

Z = \frac{2.9 - 3.04}{0.04}

Z = -3.5

Z = -3.5 has a pvalue of 0.0002

0.9332 - 0.0002 = 0.933

0.933 = 93.3% probability that the second machine produces an acceptable cork.

Which machine is more likely to produce an acceptable cork?

Second one has a higer probability, so it is more likely to produce an acceptable cork.

6 0
3 years ago
What is the value of m?​<br><br>__°
alukav5142 [94]

Answer:

62 degrees

Step-by-step explanation:

6 0
3 years ago
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Of the 50 finish that Alan caught from the lake 14 were trout the estimated population of the lake is 7500 fish about how many t
Rzqust [24]
In the example given, we see there are 14 trout out of 50 fish. This can be written as 14/50. You then make the bottom number equal 7500, and multiply the top number by the same amount to get the answer. In this case, 7500 ÷ 50 = 150. So then we just do 14 × 150 = 700, and 700 is your answer. Hope this helped!
8 0
3 years ago
Read 2 more answers
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