The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.

Why are the events not mutually exclusive?
A, The sum of P(A) and P(B) is less than P(A or B).
B. The product of P(A) and P(B) is less than P(A or B).
C. The product of P(A) and P(B) is not equal to P(A or B).
D. The sum of P(A) and P(B) is not equal to P(A or B).

Answer:

The statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Step-by-step explanation:

As the function is given by

As we know that the domain is the set of all possible input values or all  x -values that a function passes through.  In other words, domain consists of all the possible input values shown on the x-axis.

Range is the set of all y-values that a function passes through. In other words, range consists of all the possible output values shown on the y-axis.

For the given function

The domain of the given function  

The domain of  can also be written as: {x | x ≥ 0}

It means the domain of the graph of this function is all real number greater than or equal to 0.

The domain of the graph of this function can not be less than zero, because if we put any negative real number in this function, it would make the the function undefined.

Please check the attached graph as shown in figure a, to visualize the domain and range of  

From the graph.

it is visible that the range of the given function  

The range of  can also be written as: {y | y ≥ 0}

In other words, for every input value in the domain of this function, the range of   will be all real numbers greater than or equal to 0. Please see the attached graph as shown in figure a.

So, from the entire discussion, we can safely say that the statement "the range of the graph is all real numbers greater than or equal to 0" is true.

Answer:

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

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Answer:

x = 3

Step-by-step explanation:

a triangle has 180 degrees in all

a square for an angle is 90 degrees

we can add them all together and get 180

90 + 45 + 8x + 21 = 180

combine like terms

156 + 8x = 180

subtract 156 to each side

8x = 24

then find x

x = 3

Answer:

x=3

Step-by-step explanation:

So the sum of angles of triangle is always 180 degrees.

We already have 45 and 90 but 8x+21 is unknown.

We can solve this by making an equation which is

45 + 90 + (8x+21) = 180.

If we solve this it will be

8x+21+135=180

8x+156 (-156) =180 (-156)

8x (/8) = 24 (/8)

x=3

Answer:

-270,810

Step-by-step explanation:

c.r.  r=-30/-10=3

[tex]a_{n} =a_{1}r^{n-1} \\a_{4}=-10(3)^{4-1}\\=-10(3)^3=-10 \times 27=-270\\a_{5}=-10 \times(3)^{5-1}\\=10 \times3^4\\=-810[/tex]

Answer:d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

13.6

Step-by-step explanation:

The quotient is the outcome of a division problem so it is what 41 divided by  3 equals. Which it equals 13.666 in short 13.6

Answer:

See attached files.

The answers are there.

Answer:

x=19/12

Step-by-step explanation:

(4x-3)/2 = 5/3

4x-3 = 10/3

3 = 9/3

4x = 10/3 + 9/3 = 19/3

x = 19/12

Hey there!

4x - 3/2 = 5/3

ADD 3/2 to BOTH SIDES

4x - 3/2 + 3/2 = 5/3 + 3/2

CANCEL out: -3/2 + 3/2 because it gives you 1

KEEP: 5/3 + 3/2 because it helps solve for the x-value.

NEW EQUATION: 4x = 5/3 + 3/2

SIMPLIFY IT!

4x = 19/6

DIVIDE 4 to BOTH SIDES

4x ÷ 4 = 19/6 ÷ 4

CANCEL out: 4 ÷ 4 because it gives you 1

KEEP: 19/6 ÷ 4 because it helps solve for the x-value

NEW EQUATION: x = 19/6 ÷ 4

SIMPLIFY IT!

x = 19/24

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

a + 12 = -6 , a = -18

Step-by-step explanation:

Hi there!

the first half of the statement says “the *sum* of a number a and 12, so we can write that as a+12. The second half of the statement says that the sum of both of those values is -6, meaning that a + 12 = -6. Knowing this, we can now solve. In order to isolate a, subtract 12 from both sides of the equation. You will be left with a = -18.

Hope this helps!

[tex]14+3c^2-15+c\\\\=14+3(4^2)-15+4\\\\=3(16)-1+4\\\\=48+3\\\\=51[/tex]

Answer:

−6n≥−12

Step-by-step explanation:

The correct inequality to show the given statement is,

⇒ - 6n ≥ - 12

Where, 'n' is any number.

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The statement is,

''The product of - 6 and a number is no less than - 12.''

Now, Let a number = n

So, We can formulate the correct inequality is,

⇒ - 6n ≥ - 12

Learn more about the inequality visit:

https://brainly.com/question/25944814

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Answer:

8 x 5..

Step-by-step explanation:

45$

Answer:

SO if you were to find how much Ivan make

So 8 dollars each time he walks his neighbors dog.

ANd already 5 times.

So we can do 8*5=40

$40 earned

Answer:

124°

Step-by-step explanation:

180°( n - 2 )

180° ( 5 - 2 ) = 540°

( 2x - 3 )° + ( 3x - 2 )° + 2( 3x - 4 )° + ( 2x + 7 )° = 540°

( 2x + 3x + 6x + 2x ) + ( - 3 - 2 - 8 + 7 ) = 540

13x - 6 = 540

13x = 546

x = 42

3(42) - 2 = 124°

Answer:

Position function is [tex]s(t)=-12t^2[/tex]

Step-by-step explanation:

Given [tex]a(t)=-24[/tex], since velocity is the antiderivative of acceleration, then [tex]v(t)=-24t[/tex].

Also, since position is the antiderivative of velocity, then [tex]s(t)=-12t^2[/tex].

Answer:

Step-by-step explanation:

Same: 30×40 = 1200 . . . . . 2 zeros in the factors; 2 in the product

Different: 20×50 = 1000 . . . 2 zeros in the factors; 3 in the product

__

Same: 0.3×0.4 = 0.12 . . . . no zeros in the factors; no zeros in the product

Different: 0.2×0.4 = 0.08 . . . no zeros in the factors; 1 zero in the product after the decimal point

_____

For a product, the number of zeros will be different if the combined factors of the numbers increase the number of factors of 10 beyond the sum of the factors of 10 of the numbers being multiplied.

Example: neither 2 nor 5 has a factor of 10, but their product does.

__

For a product that is a decimal fraction, the number of leading zeros will increase if the product of the mantissas of the numbers is less than 10. The number of trailing zeros will increase under the conditions discussed above. (0.25×0.4 = 0.100)

_____

Additional comment

Here, the term "mantissa" is used to refer to the portion of the number written in scientific notation that multiplies the power of 10.

Answer:

The number of unique triangles that can be constructed from the given values is; Only one triangle

Step-by-step explanation:

We are given the 2 angles of a triangle as;  

∠1 = 50°  

∠2 = 80°  

Now, we know that sum of angles in a triangle is 180°. This means that if the third angle is denoted as ∠3, then we have;  

∠1 + ∠2 + ∠3 = 180°  

Thus;  

∠3 = 180 - (∠1 + ∠2)  

∠3 = 180 - (50 + 80)  

∠3 = 180 - 130  

∠3 = 50°  

Thus; ∠1 = ∠3 = 50°  

A triangle with two equal angles is called an isosceles triangle. Which means that it will also have 2 of its' sides to be equal.  

Thus, in conclusion, only one unique triangle can be drawn.

Step-by-step explanation:

although there is no graph visible here, I suspect this is the same question as I just answered twice already.

the slope is -6.

D is the right answer.

Answer:

x=1

Step-by-step explanation:

If V is the midpoint of the line UW, that would mean that there's an equal distance between UV and 9x. So, the value of UV and VW would eed to be the same.

x+8=9x

8=8x

x=1

Answer:

perimeter: 14+5+6+6+8+10=59

area: 14x5x6x10=4200

perimeter means adding all the sides including the ones that arent labeled, and the area is multiplying all the numbers included.

Given that:

[{1(1/5)−(2/5)⋅(−3/4)3}]÷(−9)

= [{(5+1)/5 - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3/4)3}]÷(-9)

= [{(6/5) - (2/5).(-3*3)/4}]÷(-9)

= [{(6/5) - (2/5) . (-9/4)}]÷(-9)

= [{(6/5) - (2/5) × (-9/4)}]÷(-9)

= [{{6/5) - {{2*(-9)}/{5*4}]}]÷(-9)

= [{(6/5) - {-9/(5*2)}}]÷(-9)

= [{(6/5) - (-9/10)}]÷(-9)

Take the LCM of 5 & 10 is 10.

= [{(6*2 + 9*1)/10}]÷(-9)

= [{(12+9)/10}]÷(-9)

= [{-(21/10)}]÷(-9)

= -(21/10) ÷ (-9)/1

= -(21/10) × (1/9)

= {(-21*1)/(10*9)]

= {-21/90)

= {(-21÷3)/(90÷3)}

= -9/30

= {(-9÷3)/(30÷3)}

= (-3/10) = -3/10 Ans.

Answer:

y = - [tex]\frac{10}{3}[/tex] x - 23

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 9, 7 ) and (x₂, y₂ ) = (- 6, - 3 )

m = [tex]\frac{-3-7}{-6-(-9)}[/tex] = [tex]\frac{-10}{-6+9}[/tex] = [tex]\frac{-10}{3}[/tex] = - [tex]\frac{10}{3}[/tex] , then

y = - [tex]\frac{10}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 6, - 3 ) , then

- 3 = 20 + c ⇒ c = - 3 - 20 = - 23

y = - [tex]\frac{10}{3}[/tex] x - 23 ← equation of line

Answer:

y= -10x/3 + 1

Step-by-step explanation:

gradient of a line= (Y2-Y1)/(X2-X1)

= (-3-7)/[-6-(-9)]

=-10/3

equation of a line

(Y-Y1)/(X-X1)= gradient

(Y-7)/(X+9)= -10/3

3(Y-7)= -1d0(X+9)

3y-21= -10x -19

3y= -10x + 3

dividing both sides by 3

y= -10x/3 + 1

Using it's concept, it is found that the domain of the function is [tex]0 \leq x \leq 182[/tex], that is, the constraints are:

The domain of a function is the set that contains all possible values for the functions.

In this problem, the input of the function is how much he spends on food.

To learn more about the domain of functions, you can take a look at https://brainly.com/question/25897115

The domain of a function is the set of input values the function can have.

The constraints on the domain are: the amount (x) is at least $0, and it is at most $182

From the question, Dev's budget on food is given as:

[tex]Budget = \$182[/tex]

This means that, he cannot spend more than $182.

Represent the amount with x.

So, we have:

[tex]x \le 182[/tex]

Also, he cannot spend a negative amount.

So, we have:

[tex]x \ge 0[/tex]

So, the domain is:

[tex]x \ge 0[/tex] and [tex]x \le 182[/tex]

Rewrite as:

[tex]0 \le x[/tex] and [tex]x \le 182[/tex]

Combine both inequalities

[tex]0 \le x \le 182[/tex]

Hence, the constraints on the domain are: the amount (x) is at least $0, and it is at most $182

Read more about domain at:

https://brainly.com/question/10197594

Answer:

The gradient is negative.

Step-by-step explanation:

The gradient represents the rise/run ratio. Always read the line's path left to right, and if it goes up, then it is positive, down means negative gradient, and if it doesnt move then it 0. It is undefined if the line is vertical.

Answer:

  length: 90 ft

  width: 30 ft

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 120 ft. The length is 3/(3+1) = 3/4 of the sum, so is (3/4)(120 ft) = 90 ft. The width is 120 ft -90 ft = 30 ft.

The floor has a length of 90 feet and a width of 30 feet.

Answer:

I'm not sure you mean 2-(b/3) = -5/2 or (2-b)/3 = -5/2

Step-by-step explanation:

if

2-(b/3) = -5/2

12-2b = -15

12+15 = 2b

27 = 2b

27/2 = b

else

(2-b)/3 = -5/2

2(2-b) = -5×3

4-2b = -15

4+15 = 2b

19 = 2b

19/2 = b

Answer:

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