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melisa1 [442]
3 years ago
13

(25 points) Find the probability that a randomly selected student drives to school.

Mathematics
2 answers:
Gelneren [198K]3 years ago
6 0

Answer:

2/5

Step-by-step explanation:

40 students drive to school

40/100 drive to school

2/5

Law Incorporation [45]3 years ago
3 0

Step-by-step explanation:

Hello there!

Add all of the values in the table to get the total amount of students.

25+25+20+13+5+5+3+2+2=(70)+(23)+(4)=97

Then, make your probability:

P(Drive to school)=(How many students drive)/(All students)

P=40/97

;)

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2x^3-x^2+x-2 factorize​
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Answer:

(x-1)(2x^2+x+2)

Step-by-step explanation:

Factorize:

f(x)=2x^3-x^2+x-2

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

\implies f(1)=2(1)^3-1^2+1-2=0

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

\implies  f(x)=(x-1)(ax^2+bx+c)

Expanding the brackets:

\implies  f(x)=ax^3+bx^2+cx-ax^2-bx-c

\implies  f(x)=ax^3+(b-a)x^2+(c-b)x-c

Comparing coefficients with the original polynomial:

\implies ax^3=2x^3 \implies a=2

\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1

\implies -c=-2 \implies c=2

Therefore:

\implies  f(x)=(x-1)(2x^2+x+2)

Cannot be factored any further.

4 0
2 years ago
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2 years ago
Find the value of all trigonometric functions of 135°
Vera_Pavlovna [14]

Answer:

sin (- 135°)= – sin 135°= – sin (1 × 90°+ 45°) = – cos 45° = – 1√2

cos (- 135°)= cos 135°= cos (1 × 90°+ 45°) = – sin 45°= – 1√2

tan (- 135°) = – tan 135° = – tan ( 1 × 90° + 45°) = – (- cot 45°) = 1

csc (- 135°)= – csc 135°= – csc (1 × 90°+ 45°)= – sec 45° = – √2

sec (- 135°)= sec 135°= sec (1 × 90°+ 45°)= – csc 45°= – √2

cot (- 135°) = – cot 135° = – cot ( 1 × 90° + 45°) = – (-tan 45°) = 1

Step-by-step explanation:

hope this helps

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1 year ago
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2 years ago
According to the rational root theorem, which of the following are possible
White raven [17]

Given:

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To find:

The possible roots of the given polynomial using rational root theorem.

Solution:

According to the rational root theorem, all the rational roots and in the form of \dfrac{p}{q}, where, p is a factor of constant and q is the factor of leading coefficient.

We have,

F(x)=4x^3-6x^2+9x+10

Here, the constant term is 10 and the leading coefficient is 4.

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Factors of leading term 4 are ±1, ±2, ±4.

Using rational root theorem, the possible rational roots are

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Therefore, the correct options are A, C, D, F.

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