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harina [27]
3 years ago
14

Fifteen times the square of a non-zero number is equal to 20 times number.What is the number? Its not 4/3

Mathematics
1 answer:
e-lub [12.9K]3 years ago
4 0
The number is (2√3) / 3

To find the missing number, convert what it says in words to an equation:
15 {x}^{2}  = 20x
Divide both sides by 15:
{x}^{2}  =  \frac{20}{15}   \\  \\  {x}^{2}  =  \frac{4}{3}
Take the square root:
x =  \sqrt{ \frac{4}{3} }  \\  \\ x =  \frac{2}{ \sqrt{3} }  \\  \\ x =  \frac{2 \sqrt{3} }{3}
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NASA is conducting an experiment to find out the fraction of people who black out at G forces greater than 6. Step 1 of 2 : Supp
Andru [333]

Answer:

The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.

Step-by-step explanation:

Estimate of the proportion of people who pass out at more than 6 Gs.

Number of people who passed out divided by the size of the sample.

We have that:

Sample of 502 people, 140 passed out at G forces greater than 6. So the estimate is:

p = \frac{140}{502} = 0.279

The estimate of the proportion of people who pass out at more than 6 Gs is 0.279.

8 0
2 years ago
The height, in inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84. (
Schach [20]

Answer:

Step-by-step explanation:

Given that the height in  inches, of a randomly chosen American woman is a normal random variable with mean μ = 64 and variance 2 = 7.84.

X is N(64, 2.8)

Or Z = \frac{x-64}{2.8}

a)  the probability that the height of a randomly chosen woman is between 59.8 and 68.2 inches.

=P(59.8

b) P(X\geq 59)\\= P(X\geq -1.78)\\ \\=0.9625

c) For 4 women to be height 260 inches is equivalent to

4x will be normal with mean (64*4) and std dev (2.8*4)

4x is N(266, 11.2)

P(4x>260)= \\P(Z\geq -0.53571)\\=0.7054

d) Z is N(0,1)

E(Z19) = P(Z>19)\\= 0.000

since normal distribution is maximum only between 3 std deviations form the mean on either side.

3 0
3 years ago
Which is another way of correctly expressing<br> (x - 3)(x - 3)?
worty [1.4K]
(x-3)^2, as x-3 is repeated twice
5 0
3 years ago
Read 2 more answers
2 (3x+1)=17-3 (x-17)
elena-14-01-66 [18.8K]
<h2>Answer:</h2>

x =  \frac{22}{3}

<h3>alternative form:</h3>

x = 7 \frac{1}{3}  \: or \: x = 7.33333333333

<h2>Step-by-step explanation:</h2>

2(3x + 1) = 17 - 3( x - 17) \\ distribute \\  \\ 6x + 2 = 17 - 3x  + 51 \\ add \: 3x \: from \: both \: sides \\  \\ 9x + 2 = 17  +  51 \\ add \: 17 \: to \: 51 \\  \\ 9x + 2 = 68 \\ subtract \: 2 \: from \: both \: sides \\  \\ 9x = 66 \\  divide \: both \: sides \: by \: 9 \\  \\ x =  \frac{22}{3}

3 0
3 years ago
The equation of liner is y = -x - 6. Line s includes the point (-1, -3) and is parallel to line
Reptile [31]

Answer:

90 hardcover books

Step-by-step explanation:

We can solve this by setting up a couple of equations.

Let's allow x to represent the number of paperbacks Tim owns, and allow y to represent the number of hardcover books he owns.

Using the information in the question, we can write the equations:

1)x = 4y-3

2) x+y=447

Let's rearrange equation 1 so that it is in standard form:

x-4y=-3

And then let's multiply equation 2 by 4 so that we can cancel out y when we solve the system of equations:

4(x+y=447)

4x+4y=1,788

Then we can add the two equations and solve for x:

  1) x-4y=-3

+ 2)4x+4y=1,788

------------------------------------

5x=1,785

x=357

So now we now the number of paperback books Tim has is 357. Let's plug this into one of the original equations to solve for the number of hardcover books (y):

357+y=447

y=90

And now we know that Tim owns 90 hardcover books.

4 0
2 years ago
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