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ELEN [110]
3 years ago
13

Cant figure it out. Help please!

Mathematics
1 answer:
murzikaleks [220]3 years ago
5 0
For question 3, you needn't worry about the number of total students asked. The question is really just asking you what's 45% as a fraction, which is 9/20. This is because 45% = 45/100, divided by 5 = 9/20. For question 6, just substitute in the values. So you do 4(7 × 4 - 3 × -7), which gives you 4(28 - -21). Two minuses make a plus, so it's just asking you to do 4 × 49 (because 28 + 21 = 49). The answer is 196.
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A small cylindrical has a diameter of 18mm and a height 12mm. Determine the minimum surface area of a box that can hold a row of
dimaraw [331]

Answer:

The surface are of a box = 1186.92 mm²  

Step-by-step explanation:

Given in question as :

Diameter of cylinder = 18 mm

The height of cylinder = 12 mm

The surface area of cylinder = ( 2×\pi×r×h) + (2×\pi×r²)

where R is the radius , R = \frac{Diameter}{2}  = \frac{18}{2}

Or Radius r = 9 mm

Or, The surface area of cylinder= ( 2×\pi×9×12) + 2×\pi×(9)²)

Or , The surface area of cylinder=(678.24) + (508.68)

Or ,The surface area of cylinder= 1186.92 mm²

Hence the surface are of a box = 1186.92 mm²     Answer

5 0
3 years ago
Test scores of the student in a school are normally distributed mean 85 standard deviation 3 points. What's the probability that
Mrrafil [7]

Answer:

The probability that a random selected student score is greater than 76 is \\ P(x>76) = 0.99865.

Step-by-step explanation:

The Normally distributed data are described by the normal distribution. This distribution is determined by two <em>parameters</em>, the <em>population mean</em> \\ \mu and the <em>population standard deviation</em> \\ \sigma.

To determine probabilities for the normal distribution, we can use <em>the standard normal distribution</em>, whose parameters' values are \\ \mu = 0 and \\ \sigma = 1. However, we need to "transform" the raw score, in this case <em>x</em> = 76, to a z-score. To achieve this we use the next formula:

\\ z = \frac{x - \mu}{\sigma} [1]

And for the latter, we have all the required information to obtain <em>z</em>. With this, we obtain a value that represent the distance from the population mean in standard deviations units.

<h3>The probability that a randomly selected student score is greater than 76</h3>

To obtain this probability, we can proceed as follows:

First: obtain the z-score for the raw score x = 76.

We know that:

\\ \mu = 85

\\ \sigma = 3

\\ x = 76

From equation [1], we have:

\\ z = \frac{76 - 85}{3}

Then

\\ z = \frac{-9}{3}

\\ z = -3

Second: Interpretation of the previous result.

In this case, the value is <em>three</em> (3) <em>standard deviations</em> <em>below</em> the population mean. In other words, the standard value for x = 76 is z = -3. So, we need to find P(x>76) or P(x>-3).

With this value of \\ z = -3, we can obtain this probability consulting <em>the cumulative standard normal distribution, </em>available in any Statistics book or on the internet.

Third: Determination of the probability P(x>76) or P(x>-3).

Most of the time, the values for the <em>cumulative standard normal distribution</em> are for positive values of z. Fortunately, since the normal distributions are <em>symmetrical</em>, we can find the probability of a negative z having into account that (for this case):

\\ P(z>-3) = 1 - P(z>3) = P(z

Then

Consulting a <em>cumulative standard normal table</em>, we have that the cumulative probability for a value below than three (3) standard deviations is:

\\ P(z

Thus, "the probability that a random selected student score is greater than 76" for this case (that is, \\ \mu = 85 and \\ \sigma = 3) is \\ P(x>76) = P(z>-3) = P(z.

As a conclusion, more than 99.865% of the values of this distribution are above (greater than) x = 76.

<em>We can see below a graph showing this probability.</em>

As a complement note, we can also say that:

\\ P(z3)

\\ P(z3)

Which is the case for the probability below z = -3 [P(z<-3)], a very low probability (and a very small area at the left of the distribution).

5 0
3 years ago
An 8-oz can of orange juice contains about 97 mg of vitamin C. About how
11111nata11111 [884]

Answer:

Step-by-step explanation:

12/8=1.5

1.5*97=145.5mg

5 0
3 years ago
HELP!!!! if you answer you get 20 points.
wolverine [178]

Answer:

Very last choice is the answer.

Step-by-step explanation:

Remark

The thing that is most important is that the horizontal line connect h and the radius is parallel to the cut of the sphere if it was placed right in the middle. That line swings around as though the center was a pivot.

Solution

  • So what you have is a circle when that line goes around that part of the sphere.
  • To find the length of that line, use the Pythagorean Theorem. Call the line r1.
  • r1 ^2 = r^2 - h^2
  • So the area is pi * r1^2
  • Area = pi (r^2 - h^2)
  • The very last one is the answer.
8 0
3 years ago
PLZ ANSWER ASAP!!!!!!!!!!!!!!!!!
Cerrena [4.2K]
Its simple all you have to do is multiply because if the cost per gallon is $2.50 and you have a total of 4,310 then you just multiply 4,310*$2.50 and it equals $10775 hope it helps :))
7 0
3 years ago
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