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3 years ago

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Mathematics

1 answer:

alex41 [277]3 years ago

8 0

Answer:

0.6

Step-by-step explanation:

In this question, the | symbol means "given", so we can phrase the question as "Find the probability that a student watches more than one hour of TV given that they are in the 6th period class"

Next, because there is a 100% chance that the student is in the 6th period class, we can disregard the results of the 3rd period class.

Given that the student is in the 6th period class, there are 15 total students (as 9+6=15 = the sum of the yes and no answers for 6th period) and 9 students that said yes. Therefore, there is a 9/15 = 3/5 = 0.6 probability that a student watches more than 1 hour of TV given that they are in the 6th period class

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If 36 is 90% of a value, what is that value?

laila [671]

You know 36 is 90% of a value, so it will equal 90/100.
Multiply 90/100 types x (value). Easiest way is to simplify 90/100 = 9/10.
x = 36 / 9/10
x = 360 / 9
x = 40
Therefore, the value would be 40.

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3 years ago

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A fishing tackle box is 13 inches long 6 inches wide and 2 1/2 inches high what is the volume of the tackle box?

Alik [6]

Answer:

195 inches³

Step-by-step explanation:

Volume = Length * Width * Height

Write as a decimal

2 1/2 = 2.5

Volume = 13 * 6 * 2.5

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3 years ago

Which binomial is not a devisor of x^3-11x^2+16x+84?

viktelen [127]

<span>dividend x3 - 11x2 + 16x + 84 - divisor * x2 x3 - 7x2 remainder - 4x2 + 16x + 84 - divisor * -4x1 - 4x2 + 28x remainder - 12x + 84 - divisor * -12x0 - 12x + 84 remainder 0 Quotient : x2-4x-12 Remainder: 0 Step-1 : Multiply the coefficient of the first term by the constant 1 â€˘ -12 = -12 Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 . -12 + 1 = -11 -6 + 2 = -4 That's it Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2 x2 - 6x + 2x - 12 Step-4 : Add up the first 2 terms, pulling out like factors : x â€˘ (x-6) Add up the last 2 terms, pulling out common factors : 2 â€˘ (x-6) Step-5 : Add up the four terms of step 4 : (x+2) â€˘ (x-6) Which is the desired factorization Final result : (x + 2) â€˘ (x - 6) â€˘ (x - 7)</span>

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3 years ago

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600 students attend Ridgewood Junior High School. 4% of students bring their lunch to school everyday. How many students brought

BARSIC [14]

Answer:

Step-by-step explanation:

4% of 600 is 24

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5 0

3 years ago

A polynomial equation with rational coefficients has the roots:

Sedbober [7]

Answer: (5 - √1) and (4 + √7)

Step-by-step explanation:

Here we have 4 roots, then this is a polynomial of 4th degree.

We can write it as

a*x⁴ + b*x³ + c*x² + d*x + e = 0

We could rewrite this as the product of two quadratic equations:

(a₁*x² + b₁*x + c₁)*(a₂*x² + b₂*x + c₂) = 0

This will be equal to zero when (a₁*x² + b₁*x + c₁) is equal to zero, and when

(a₂*x² + b₂*x + c₂) is equal to zero.

Then we need to find the roots of these two quadratic equations.

And we know that the roots of a quadratic equation like:

a₁*x² + b₁*x + c₁ are given by:

$x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a} = \frac{-b}{2a} +-\frac{\sqrt{b^2 - 4ac}}{2a}$

Then the general form of the roots is something like:

$A +-\sqrt{B}$

This means that if one of the roots is:

5 + √1, we must have another root equal to 5 - √1

And if we have one root equal to 4 - √7, then we must have another root equal to 4 + √7

Then the correct options are:

(5 - √1) and (4 + √7)

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3 years ago