What is the solution to the system of equations? y = –5x + 3 y = 1 (0.4, 1) (0.8, 1) (1, 0.4) (1, 0.8)

Answer:

1)The probability that the ball drawn is not red is 6 /14

2)Probability of getting either a prime or a multiple of 3 is 7/10

3)Probability of  drawing three balls without replacement such that all three are Same colour  is 0.0747

Probability of drawing three balls without replacement such that all three are different colour is 0.5

Step-by-step explanation:

1) A ball is drawn randomly from a bag containing 8 red, 4 blue and 2 green identical balls. Find the probability that the ball drawn is not red.

No. of red balls = 8

No. of blue balls = 4

No. of green balls = 2

Total no. of balls = 8+4+2=14

P(Getting red bal)=[tex]\frac{8}{14}[/tex]

P( ball drawn is not red) = [tex]1 - \frac{8}{14}=\frac{6}{14}[/tex]

So,the probability that the ball drawn is not red is 6 /14

2)What is the probability that a number chosen at random from the integers between 1 and 10 inclusive is either a prime or a multiple of 3?

Numbers : 1 ,2,3,4,5,6,7,8,9,10

Prime numbers: 2,3,5,7 = 4

Multiple of 3 = 3,6,9 =3

So, Probability of getting prime number =[tex]\frac{4}{10}[/tex]

Probability of getting multiple of 3 =[tex]\frac{3}{10}[/tex]

So, Probability of getting either a prime or a multiple of 3=[tex]\frac{4}{10}+\frac{3}{10}=\frac{7}{10}[/tex]

Hence  Probability of getting either a prime or a multiple of 3 is 7/10

3)A bag contains four red balls, five blue balls and six green balls. Three balls are drawn from the bag at random without replacement. What is the probability that all three are:

The same colour

Different colour

No. of red balls = 4

No. of blue balls = 5

No. of green balls = 6

Total balls = 15

Case 1 :all three are Same colour

So, probability of  drawing three balls without replacement such that all three are Same colour = [tex]\frac{4}{15} \times \frac{3}{14} \times \frac{2}{13}+\frac{5}{15} \times \frac{4}{14} \times \frac{3}{13}+\frac{6}{15} \times \frac{5}{14} \times \frac{4}{13}=0.0747[/tex]

So, probability of drawing three balls without replacement such that all three are different colour =[tex]\frac{4}{10} \times \frac{5}{9} \times \frac{6}{8}+\frac{5}{10} \times \frac{4}{9} \times \frac{6}{8}+\frac{6}{10} \times \frac{5}{9} \times \frac{4}{8}=0.5[/tex]

So,probability of  drawing three balls without replacement such that all three are Same colour  is 0.0747

So,probability of drawing three balls without replacement such that all three are different colour is 0.5

Answer:

c(x)=324.

324 is the total price and c would be the cost of the tickets times x which is the number of tickets.

Answer:

x - y = 0

Step-by-step explanation:

The given line is y = x.

We could re-write this as x - y = 0, which is in general form.

Answer:

(- 1, 9 )

Step-by-step explanation:

One of the equations gives y = 9, the y- value

To find the value of x, substitute y = - 3x + 6 , that is

- 3x + 6 = 9 ( subtract 6 from both sides )

- 3x = 3 ( divide both sides by - 3 )

x = - 1

Solution is (- 1, 9 )

Answer: F(x) = 2*sin(x/10  +(3/2)*pi) + 5

Step-by-step explanation:

The information that we have is that:

We have a minimum at (0, 3)

the midline is at (5*pi, 5)

This is a sinusoidal function, so we can write one generic one as:

F(x) = A*sin(c*x + p) + B.

where A and B are constants, c is the frequency and p is a phase

First, the minimum of the sine function is when sin(x) = -1, and this happens at (3/2)*pi

We know that this minimum is at x = 0.

sin(c*0 + p) = -1

Then p = 3/2*pi.

So our function is:

F(x) = A*sin(c*x  +(3/2)*pi) + B.

Now, we know that F(0) = 3, so:

3 = A*sin(c*0 +(3/2)*pi) + B = -A + B.

now we can use the other hint, the midpoint of the sine function is when sin(x) = 0, and this happens at x = 0 and x = pi, particularlly as we here have a phase of 3/2*pi, we should find x = 2*pi.

then:

c*5*pi + (3/2)*pi = 2*pi

c*5 + 3/2 = 2

c*5 = 2 - 3/2 = 1/2

C = 1/2*5 = 1/10

So our function is

F(x) = A*sin(x/10  +(3/2)*pi) + B

and we know that when x = 5*pi, F(5*pi) = 5, so:

5 = F(x) = A*sin(5*pi/10  +(3/2)*pi) + B

5 = B

and we aready knew that:

- A + B = 3

-A + 5 = 3

A = 5 - 3 = 2

So our equation is:

F(x) = 2*sin(x/10  +(3/2)*pi) + 5

Answer:

the correct answer is

[tex]f(x) = - 2 \cos( \frac{1}{10}x ) + 5[/tex]

Answer: A

Step-by-step explanation:

it intercepts y at -3 and you can find slope using rise/run

Answer:

(0, 250)

(-250/3, 0)

Step-by-step explanation:

These are the intercepts and are points in the function

Answer:

(0,250)

(1,247)

Step-by-step explanation:

y = –3x + 250.

Let x = 0

y = -3(0) +250

y = 250

(0,250)

Let x = 1

y = -3(1) +250

y = -3+250

y = 247

(1,247)

Answer:

quotient  x² - 2x + 5

remainder  (-12x+5)

Step-by-step explanation:

                    x²      -2x       +5

x² + 2x - 1  | x^4   + 0*x³  + 0*x² + 0x + 0

                 |-(x^4  +  2x³   -   x²)

                            - 2x³    +x²     + 0x

                          -(-2x³   - 4x²   + 2x)

                                         5x²   - 2x + 0

                                     -(  5x²  +10x -5)

                                                  -12x + 5

x² - 2x + 5 + (-12x + 5)/(x² + 2x - 1)

The Quotient  is [tex]x^{2} -2x+5[/tex] and The remainder is  -12x +5

How to Solve this Problem?

This problem can be solved by following steps

Learn More about Quotient and remainder here

https://brainly.com/question/18191517

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Answer:

all real numbers

Step-by-step explanation:

Answer:

D, all real numbers greater than or equal to 0.

Step-by-step explanation:

The answer is D, all real numbers greater than or equal to 0

Answer:

D. (0,4)

Step-by-step explanation:

Answer:

(x - 4)^2 + 4

Step-by-step explanation:

  x^2 - 8x + 20

= x^2 - 2*4*x + 16 + 4

= x^2 - 2*4*x + 4^2 + 4

= (x - 4)^2 + 4

= (x - a)^2 + a, with a = 4

Hope this helps!

Answer:

ok so. wheres the question

Answer:

100π and [tex]\frac{500\pi }{3}[/tex]

Step-by-step explanation:

The other picture wouldn’t attach, but the radius is 5.

Surface area = 4πr²

r= 5

4.π5²= 25.4.π = 100π

Volume = [tex]\frac{4}{3} \pi r^{3}[/tex]

r=5

[tex]\frac{4}{3} \pi 5^{3} = 125.4.\pi[/tex] = [tex]\frac{500\pi }{3}[/tex]

Hope this helps ^-^

Answer:

is there more in the question

Answer:

C

Step-by-step explanation:

Use the pythagorean theorem

a² + b² = c²

3² + 4² = c²

9 + 16 = c²

25 = c²

5 = c

Answer:

Can't be determined

Explanation:It can't be determined since there are two sides that you need to find out.

Answer:

432 cubic inches

Step-by-step explanation:

the ratio of the small bag to large bags side lengths is 12/16

if you want to find the small bags volume, set the ratios equal

we know the large bag is 576 cubic inches so the small bag volume is x

12/16 = x/576

cross multiply

16x= 6912

divide by 16

x= 432

Answer:

if you need to evaluate it its

Evaluate.

9=−1

however if you need to

Determine if True its False

hoped that help

Answer:

its 18, -9, 30

Step-by-step explanation:

just did it

Answer:

1. sin P = 20/29

cos P = 21/29

tan P = 20/21

sin Q = 21/29

cos Q = 20/29

tan Q = 21/20

2. We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other

Step-by-step explanation:

For Part 1

With knowledge of SOH CAH TOA

Sin = Opp/Hyp

Cos = Adj/Hyp

Tan = Opp/Adj

So:

sin P = 20/29

cos P = 21/29

tan P = 20/21

sin Q = 21/29

cos Q = 20/29

tan Q = 21/20

For Part 2

We can notice that the sin and cos of P vs Q are switched and the tan's are a reciprocal of each other

Answer:

There is a direct relationship between the profit P and the number of lawns cut

The initial value is (0,-100)

Step-by-step explanation:

Firstly, we want to know the type of variation that is between the profit and the number of lawns.

Now, looking at the graph, we can see that as the number of lawns increase, there is a corresponding increase in the profit causing a sharp rise in the graph.

What this represents is that there is a direct relationship between the two quantities.

Now, we are told to get the initial value.

Looking at the plot, we can see that the number of lawns is the x axis while the profit is the y axis

The initial value is that point at which we have the graph intersecting the y-axis which is below the x-axis

This point is the point (0,-100)

This point gives the initial value of the relationship

Answer:

40

Step-by-step explanation:

4 + 8 / 2 * (6 + 3)

Parentheses first

4 + 8 / 2 * (9)

Then multiply and divide from left to right

4 + 4 * (9)

4 + 36

Then add and subtract

40

Answer:

40

Step-by-step explanation:

PEMDAS

(6+3) = 9                  4+8/2*(9)

8/2 = 4                     4+4*(9)

4*9 = 36                   4+36

36+4 = 40                 40

Answer:

c) ab/14

Step-by-step explanation:

[tex]\frac{a}{7} * \frac{b}{2} =\frac{ab}{14}[/tex]

multipling fractions rule is to multiply nominators and denominators separately

Answer:

26 ft

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

10^2+24^2 = c^2

100 +576 = c^2

676 = c^2

Take the square root of each side

sqrt(676) = sqrt(c^2)

26 = c

Answer:

26 ft

Step-by-step explanation:

Pythagoras theorem

a^2+b^2=c^2

10^2+24^2=676

square root of 676= 26

Answer:

Step-by-step explanation:

that is 55/22 = 2.5 hrs

Answer: .two and a half hours.

Step-by-step explanation:

22/1 = 55/x

22x=55

X=2.5

Answer:

The total length of the fox is 30 3/5 inches

Step-by-step explanation:

Here, we are interested in calculating the total length of a fox, given the length of its head and body and also the length of its tail.

Mathematically, the total length of the fox = length of its head and body + length of its tail

length of the head and body = 19 4/5

length of its tail = 10 4/5

Plugging these values into the equation, we have;

19 4/5 + 10 4/5

99/5 + 54/5 = (99 + 54)/5 = 153/5 = 30 3/5 inches

Answer:

what values???!!!

Step-by-step explanation:

Answer: b = -52/7 - 4a/7

Answer:

The total budget for their student film is $600

Step-by-step explanation:

Here, we want to calculate the total budget of a group of students on a movie given the amount the spent on props.

Since we do not know this amount, we can call it x

Now, 45% of this x was the amount spent on props and it is equal to $270

Mathematically;

45/100 * x = 270

45x = 100 * 270

x = (100 * 270)/45

x = 600

Answer:

[tex]x=-3,4[/tex]

Step-by-step explanation:

Factorise in order to reveal factors.

[tex]x^2-x-12=0\\(x-4)(x+3)=0[/tex]

Answer:

3 x 3 =9

Step-by-step explanation:

9

Answer: x

Step-by-step explanation: When dividing 3x by 3, the 3's will cancel each other out simply leaving us with our variable, x.

Answer:

The probability that a customer buys a taco, a drink, or both is 45%.

Step-by-step explanation:

apeeex

P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

The value of the probability of an event must lie between the interval of [0, 1].

A food truck sells tacos, burritos, and drinks.

Let event A = A customer buys a taco.

Let event B = A customer buys a drink

P(A or B) = 0.45 mean in terms of this problem will be the probability that a customer buys a taco, a drink, or both is 45%. Then the correct option is A.

More about the probability link is given below.

https://brainly.com/question/795909

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