MATHEMATICS HIGH SCHOOL

Marlon asks a friend to think of a number from 5 to 11. What is the probability that Marlon’s friend will think of the number 9?

Answers

Answer 1

Answer:

Answer:

$P=(1)/(7)$

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

Let

x---------> size of the event space

y-------> size of the sample space

$P=(x)/(y)$

In this problem we have

$x=1$ (because is only one number to think)

$y=7$ (there are $7$ numbers between $5$ and $11$ )

substitute

$P=(1)/(7)$

Answer 2

Answer: There are 7 numbers between 5 and 11 including 5 and 11. This means there is a one in seven chance of any number. The probability of o 9 is 1/7.

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Which answer is the solution set in simplest form?4x-1/3=7/1a 4/3b 7/3c 3/2d 11/2
Pleaae help it would mean so much to me,ill even give you five stars
Which of the following are the factors of t4 – 81?A. (t – 3)(t + 3)2 B. (t – 3)(t + 3)(t2 + 9) C. (t2 – 9)(t2 – 9) D. (t – 3)2(t + 3)2
Simplify (-80/-20)-44-4040

Find the distance between the pair of parallel lines, y = -2x+1 & y = -2x+16.

Answers

$Given \ the \ equations \ of \ two \ non-vertical \ parallel \ lines:\n\ny = mx+b_1\ny = mx+b_2\n\nthe \ distance \ between \ them \ can \ be \ expressed \ as : \n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) )$

$y = -2x+1\ny = -2x+16 \n\n\nd= (|b_(1)-b_(2)|)/( √( m^2+1) ) =(| 1-16|)/( √( (-2)^2+1) ) =(| -15|)/( √( 4+1) ) =(15)/(√(5))\cdot (√(5))/(√(5))=\n \n\n=(15√(5))/(5)=3√(5)\approx 3\cdot 2.24 \approx 6.72$

Given f^{-1} (x)=2x^3+3. Write an equation that represents f(x).I just need some help. I can't figure out this problem since I'm watching a toddler while doing this.

Answers

Answer:

f(x) = [(x - 3)/2]^⅓

Step-by-step explanation:

f(x) is the inverse of f^-1

y = 2x³ + 3

x³ = (y - 3)/2

x = cuberoot [(y - 3)/2]

Interswitch variables

f(x) = [(x - 3)/2]^⅓

Combine like terms: 3t + 5 (3 + t) - 2t - 4

Answers

3t + 15 + 5t - 2t - 4
6t + 15 - 4
6t + 11

first you will distribute the 5 to(3+t)

So it will be 3t+15+5t-2t-4

then you will add 3t and 5t and -2t together

So you get 6t+15-4

Lastly you will do 15-4

So you get 6t+11

That's the answer 6t+11

3x+y=8 I really don't understand this and I have tried to get the answer but always end up wrong.3x-y=4

Answers

Answer:

The solution of the system of the equation is (2, 2)

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + y = 8 ⇒ (1)

∵ 3x - y = 4 ⇒ (2)

→ Add equations (1) and (2) to eliminate y

∴ (3x + 3x) + (y + -y) = (8 + 4)

∴ 6x + 0 = 12

∴ 6x = 12

→ Divide both sides by 6 to find x

∵ $(6x)/(6)=(12)/(6)$

∴ x = 2

→ Substitute the value of x in equation (1) to find y

∵ 3(2) + y = 8

∴ 6 + y = 8

→ Subtract 6 from both sides

∵ 6 - 6 + y = 8 - 6

∴ y = 2

∴ The solution of the system of the equation is (2, 2)

Identify the independent and dependent variables. Eman is conducting an experiment to see how much sugar will dissolve in water as the temperature of the water is increased.

A.The independent variable is the temperature of the water, and the dependent variable is the amount of sugar dissolved.

B.The independent variable is the amount of sugar dissolved, and the dependent variable is the temperature of the water.

Answers

The correct answer is A. The independent variable is the temperature of the water, and the dependent variable is the amount of sugar dissolved. The independent variable is the one that isn't affected by any of the other variables. The dependent variable is the one being studied, measured, and affected in the experiment. Obviously, Eman wants to measure the amount of sugar that dissolves in water.

Answer

Step-by-step explanation:

Solve for the variable in the following proportion.
5/25=m/125

Answers

If you would like to solve for the variable in the proportion 5/25 = m/125, you can do this using the following steps:

5/25 = m/125 /*125
m = 5/25 * 125
m = 25

The correct result would be m = 25.

Answer:

M = 25

Step-by-step explanation:

Hope this is correct!

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