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If P(not yellow) = StartFraction 4 over 15 EndFraction, which best describes the probability of the complement of the event? P(yellow) = StartFraction 8 over 15 EndFraction P(yellow) = StartFraction 11 over 15 EndFraction P(not yellow) = StartFraction 8 over 15 EndFraction P(not yellow) = StartFraction 11 over 15 EndFraction

Answer:

0

Step-by-step explanation:

An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0

Answer:

0

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

8+12+4+8 = 32

32/4 = 8

8-8 = 0

12-8 = 4

8-4 = 4

8-8 = 0

4+4+0+0 = 8

8/4 = 2

Answer:

No, it isn't. The answer is 0.75

Step-by-step explanation:

The square root of 9/16 is not a irrational number

From the question, we have the following parameters that can be used in our computation:

The square root of 9/16

When evaluated, we have

The square root of 9/16 = 3/4

The above number is represented by the quotient of 2 integers

using the above as a guide, we have the following:

We can conclude that the number is a rational number

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Answer:

a = 4 and b = - 30

Step-by-step explanation:

Expand the left side and compare like terms on both sides, that is

(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² - x - 6)(x + 5) ← distribute

= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms

= x³ + 4x² - 11x - 30

Compare like terms with x³ +ax² - 11x + b

4x² and ax² ⇒ a = 4

+ b and - 30 ⇒ b = - 30

The requried simplified values of a and b are given as 4 and -30 respectively.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b

Comparing both sides,
a = 4 and b = -30

Thus, the requried simplified value of a and b are given as 4 and -30 respectively.

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Answer:

Step-by-step explanation:

d = 17 cm

r = 17/2 = 8.5 cm

Circumference of circle = πd

                                       = 3.14 * 17

                                       = 53.38 cm

Area of circle = πr²

                       = 3.14 * 8.5 * 8.5

                       = 226.865 cm²

Answer:

1/6

Step-by-step explanation:

The slope of a line in y=mx+b form is always the number before the x value.

Hope this helps!

Answer:

2.33 = ?

Step-by-step explanation:

We can use trig functions

tan theta = opposite/ adjacent

tan 25 = ? /5

Multiply each side by 5

5 tan 25 = ?

2.331538291 = ?

Round to the nearest hundredth

2.33 = ?

Answer:

They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.

Answer:

I believe this would be the correct answer. It has been a while since I have done a problem like this.

Answer:

x=1 & y=7

Step-by-step explanation:

y=7x.......(i)

y=-2x+9........(ii)

Solve for (ii) by replacing the value of y in (ii) with the value of y from (i)

y=-2x+9

7x=-2x+9

Add 2x on both sides,

7x+2x=-2x+9+2x

9x=9

Divide by 9 on both sides,

9x/9=9/9

x=1

Now,

Replace the value of x in eq (i)

y=7x

y=7×1

y=7

Therefore,the values of x and y are 1 and 7 respectively.

Answer:

4:7

Step-by-step explanation:

3:5=6:10/2=3:5

9:15=9:15/3=3:5

Answer:

number 13. is d

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you write correctly:

[tex]P = -2xys+3x? - 10xy^{6} +8x+4\\[/tex]

I do not know the "?" in the formule de P

-The polynomial has 5 terms.  Yes

-The leading coefficient is -2. No

.

-The degree of the polynomial is 7.  Yes

-The constant term is 4.  Yes

-The polynomial is in decreasing degree order. No

Answer:

additive inverse

Step-by-step explanation:

-7 is the inverse of 7 so adding it would cancel it out making it 0

Answer:

X=1

Step-by-step explanation:

6x+2=9x-1

-6x on both sides

2=3x-1

+1 on both sides

3=3x

/3 on both sides

1=x

Flip

X=1

Answer:

1a) Blue: 16x+5

Pink: 4x+5

b) 12x

c) Blue: 53

Pink: 17

2. a) Eden

b) Emma: wrote 36 instead of 6 as the base

Erin: multipled the powers instead of adding

Step-by-step explanation:

a) Perimeter of:

Blue

(4x + 2) + (5x - 4) + (7x + 7)

16x + 5

Pink

(x + 7) + (x + 3) + (2x - 5)

4x + 5

Difference:

(16x + 5) - (4x + 5)

16x + 5 - 4x - 5

12x

x = 3

Blue: 16(3) + 5 = 53

Pink: 4(3) + 5 = 17

Q2. 6² × 6⁵ = 6⁷

When numbers with the same base are multiplied, the powers add up

Only Eden did it correctly

Emma: wrote 36 instead of 6 as the base

Erin: multipled the powers instead of adding

Answer:

-1/2

Step-by-step explanation:

The slope of the line is y=mx+b. when searching for the slope of a line you take where the line crosses EXACTLY on two points, for this grid it would be (0,3) and (2,2) based off this you see that you Rise 1 and Run 2. rise and run is how you find the formula for slope, since the line is going from the left side of the graph to the right (in a downward motion) the overall direction of the line is negative. now you plug in the answer to the formula given, y=-1/2x+3, the +3 or b in the formula is where the line intersects the y axis. this can be negative or positive. the slope can also be taken from the formula, -1/2for more explanation or questions ask please!

Answer:

The first option, the mayor will lose by a large percentage.

Step-by-step explanation:

If you look at the numbers, You can see that the two best answers which are excellent and satisfactory are low, and in total equal 28.

Being compared to the lower ratings which are needs improvement and unsatisfactory are high, and in total equal 52.

Seeing this, this shows that the mayor will lose the election the with more than half of the people voting for someone else.

All the other options excluding the first one, say that he will win by a close call, a big percent, or a close call again.

which just leaves the first option saying that he will lose by large percent, which is true.

The following statement is true with the given values of median and range.

The temperature in Carlton was always cooler than in Borden.

The median is the middle number in a sorted ascending or descending list of numbers. The range is the difference between any two numbers.

Check the trueness of each statement with the given table.

Lowest temperature over a week [tex]=[/tex] Median - Range

Thus, for Carlton, it is [tex](75-5)=70^{0}F[/tex] and for Borden it is [tex](88-5)=83^{0}F[/tex]

So, this statement is not true.

At least one daily high-temperature [tex]=[/tex] Median + Range

For Borden, it is [tex](88+5)=93^{0}F[/tex]

So, 2nd statement is not true.

For Carlton, at least one daily highest temperature (75+5)=[tex]80^{0}F[/tex]  

For Borden, at least one daily lowest temperature [tex](88-5)=83^{0}F[/tex]

Borden's lowest temperature [tex]83^{0}F[/tex] was even more than Carlton's highest temperature [tex]80^{0}F[/tex].

So, the 3rd statement is true.

If the high temperature for Carlton for one day is [tex]80^{0}F[/tex] and for Borden [tex]83^{0}F[/tex], which is within the given range, then the difference is only [tex]3^{0}F[/tex].

So, the 4th statement is also not true.

Hence, the temperature of Carlton was always cooler than in Borden is the true statement.

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The domain is the input (x) value. Since the equation is not provided with any input limit the answer is negative infinity to infinity.

The answer is the last choice.

Answer:

5/5

Step-by-step explanation:

So imagine you have 1 pie, and its fresh out of the oven so its still hole, that makes it 1/1 or ! whole, the same with 5 because the pies are still whole and not eaten its 5/5

Answer:

2x+4y=0

Step-by-step explanation:

Answer:

Standard deviation

Step-by-step explanation:

Answer:

A. Trinomial

Step-by-step explanation:

It says it's a polynomial and that based on the number of terms. So right then you can cancel out cubic and quadratic because they aren't polynomials. Also:

Cubic is just a variable with the exponent of 3. Examples:

[tex]x^3,y^3,z^3[/tex]

Binomial is a polynomial with 2 terms. Examples:

[tex]5x+3; 6x+2; x+7[/tex]

A quadratic has a division sign.

Answer:

Step-by-step explanation:  the first number goes two the side and the secend goes up

Answer:

(9, 21)

Step-by-step explanation:

Answer:

the answered is -3 like in the picture

Step-by-step explanation:

Answer:

5/8.

Step-by-step explanation:

Prob( Card is > 5) = number of cards > 5 / total number of cards

= 5/8

Answer:

56

Step-by-step explanation:

Answer:

y+-1/2x-1

Step-by-step explanation:

The line is negative

It rises one digit and runs 2

and it crosses though -1 on the y axis

Answer:

10626 different arrangements

Step-by-step explanation:

As we have a total of 23 students and we want to form groups of 3, where the order of the 3 students matters, we can solve this problem using a permutation of 23 choose 3.

The formula for a permutation of n choose p is:

P(n,p) = n! / (n-p)!

So, using n = 23 and p = 3, we have:

P(23,3) = 23! / (23-3)! = 23! / 20! = 23 * 22 * 21 = 10626

So we have a total of 10626 different arrangements of first, second and third place.