MATHEMATICS HIGH SCHOOL

What type of numbers represent parts of a whole?

fractions
integers
decimals

Answers

Answer 1
Answer: The fraction is made up of two parts: the numerator and the denominator. The numerator defines how many equal parts there currently are, and the denominator defines how many of those equal parts create a whole. From that understanding alone, the answer would be "fractions".

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Which one of these graphs does not illustrate a function? And why

Answers

Answer:

It would be Graph D

Step-by-step explanation:

It's graph D because according to the graph, it looks like the domain has 2 ranges since it made a vertical line. And as we know, vertical lines are not considered to be functional since a domain can't have more than one range.
The answer is graphs D

You roll a​ six-sided die. Find the probability of each of the following scenarios.(a) Rolling a
5 or a number greater than 3
​(b) Rolling a number less than
5 or an even number
​(c) Rolling a
6 or an odd number

Answers

(a) The set of numbers is {4, 5, 6}. The probability is therefore 3/6 = 1/2.
(b) The set of numbers is {1, 2, 3, 4, 6}. The probability is therefore 5/6.
(c) The set of numbers is {1, 3, 5, 6}. The probability is therefore 4/6 = 2/3.

The probability of each of the following scenarios :

(a) Rolling a 5 or a number greater than 3  is 1/2

​(b) Rolling a number less than 5 or an even number is  5/6

​(c) Rolling a 6 or an odd number is 2/3

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

Let us tackle the problem.

If you roll the dice, there will be 6 possible results :

{ 1 , 2 , 3 , 4 , 5 , 6 } → sample space

(a) The favorable outcome from rolling a 5 or a number greater than 3  is :

{ 4 , 5 , 6 } , then the probability will be :

P(A) = (3)/(6)

\large {\boxed {P(A) = (1)/(2)} }

(b) The favorable outcome from rolling a number less than 5 or an even number is :

{ 1 , 2 , 3 , 4 , 6 } , then the probability will be :

\large {\boxed {P(B) = (5)/(6)} }

(c) The favorable outcome from rolling a 6 or an odd number is :

{ 1 , 3 , 5 , 6 } , then the probability will be :

P(C) = (4)/(6)

\large {\boxed {P(C) = (2)/(3)} }

Learn more

Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die

Which sample size out of a population of 1,000 is most likely to lead to a valid conclusion?50
100
150
200

Answers

200, because the more samples you have the more correct you will be.

Answer:

Step-by-step explanation: 200 more people better accuracy

Cambridge has a job mowing lawns. He mowed 5 lawns last week and earned $82.50. The table shows his earnings for the week. Which coordinate pair represents the unit rate for this situation?A) (0, 0)
B) (1, 16.5)
C) (3, 49.5)
D) (5, 82.5)

Answers

Answer:

Option B.

Step-by-step explanation:

Consider the below table attached with this question.

It is given that Cambridge has a job mowing lawns. He mowed 5 lawns last week and earned $82.50.  

We need to find the coordinate pair that represents the unit rate for this situation.

Unit rate represent the value of dependent variable when the value of independent variable is 1.

In the given situation, dependent variable is earnings and independent variable is number of lawns.

5 lawns = $82.50

Divide both sides by 5.

1 lawns = $16.5

So, the unit rate rate is $16.5 and the required coordinates are (1,16.5).

Therefore, the correct option is B.

i think so its B 82.50÷5=16.5

how to solve 4n²-3n-7=0

Answers

4n^2-3n-7=0\n \n a=4, \ \ b=-3 \ \ c=-7\n \n \Delta = b^(2)-4ac = (-3)^(2)-4*4* (-7)= 9+112=121

x_(1)=(-b-√(\Delta ))/(2a) =( 3-√( 121))/(2*4)=( 3-11)/(8)= (-8 )/( 8)=-1 \n \nx_(2)=(-b+√(\Delta ))/(2a) =( 3+√( 121))/(2*4)=( 3+11)/(8)= (14 )/( 8)= (7)/(4)=1(3)/(4)
4n^2-3n-7=0\n\n\underbrace{(2n)^2-2\cdot2n\cdot(3)/(4)+\left((3)/(4)\right)^2}_((*))-\left((3)/(4)\right)^2=7\n\n(2n-(3)/(4))^2-(9)/(16)=7\n\n(2n-(3)/(4))^2=7+(9)/(16)\n\n(2n-(3)/(4))^2=(112)/(16)+(9)/(16)\n\n(2n-(3)/(4))^2=(121)/(16)\to2n-(3)/(4)=\sqrt(121)/(16)\ \vee\ 2n-(3)/(4)=-\sqrt(121)/(16)

2n=(11)/(4)+(3)/(4)\ \vee\ 2n=-(11)/(4)+(3)/(4)\n\n2n=(14)/(4)\ \vee\ 2n=-(8)/(4)\n\n2n=(7)/(2)\ \vee\ 2n=-2\n\nn=(7)/(4)\ \vee\ n=-1



(a-b)^2=a^2-2ab+b^2

How to find length of a triangle given one side and angle

Answers

Answer:

Use trigonometric ratio

Step-by-step explanation:

Since it is one side and angle of the triangle that is given, it is assumed that the triangle is a right-angled triangle

To solve for one of the two unknown lengths, use trigonometric ratio

There are 3 basic trigonometric ratio namely Sine (sin), Cosine (cos) and Tangent (tan)

Sine of the angle given = opposite side ÷ hypotenuse side

Cosine of the angle given = adjacent side ÷ hypotenuse side

Tangent of the angle given = opposite side ÷ adjacent side

Assuming the length given is the hypotenuse side and the angle is inclined to the horizontal

To find the opposite side of the triangle, multiply the hypotenuse side by the sine of the angle given
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