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Answer:

x² - x - 6

Step-by-step explanation:

Given

(x + 2)(x - 3)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x - 3) + 2(x - 3) ← distribute parenthesis

= x² - 3x + 2x - 6 ← collect like terms

= x² - x - 6

Answer:    

[tex]x^{2} -x-6[/tex]  

it's quadratic

Answer:5 days

Step-by-step explanation:

13+3=16

16+3=19

19+3=22

22+3=25

25+3=28

Answer:

5.98

Step-by-step explanation:

Answer:

5.98

Step-by-step explanation:

Answer:

40 meters squared

Step-by-step explanation:

8 * 5 = 40

Answer:

15 heads out of 30

Step-by-step explanation:

The total number of possible sequences of coin flips can be determined by raising the number of outcomes, which is 2 for any coin (heads or tails), to the power of the number of times the coin is flipped, given by the question as 30. Therefore,  230  is the total number of different sequences for 30 coin flips.

We can use combinatorial math to find the number of sequences with exactly 15 heads, which is 30 choose 15 or  (3015) . The probability we are looking for will be the number of sequences with 15 heads divided by the total possible sequences.

Now we can express the whole probability in math notation, and calculate an answer (rounded to 4 decimal places):

(3015)230=1551175201073741824≈0.1445≈14.45%

15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on. If you graphed all of the outcomes, you will find it follows a normal distribution, or Bell curve, with the outcome of 15 heads, located at the peak.

If the coin is tossed 30 times then the expected value of the tails to appear is 15 which means tails will appear 15 times.

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

[tex]E(X) = np\\[/tex]

You flip a coin 30 times then the expected value will be

The probability of getting tails is 0.5 then the expected value will be

[tex]E(X) = 0.5 \times 30\\\\E(X) = 15\\[/tex]

Learn more about binomial distribution here:

https://brainly.com/question/13609688

Answer:

Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD) ;

0.556

Step-by-step explanation:

Given :

Possible outcome of each policy statement = (A, N, D)

Number of statements = 2

Sample space = 3² = 9

Sample space = (AA, AN, AD, NA, NN, ND, DA, DN, DD)

Probability that a person agrees with atleast one of the 2 policy statements :

Probability = required outcome / Total possible outcomes

Required outcome = (AA, AN, AD, NA, DA) = 5

HENCE, P(person agrees with atleast one of the 2 policy statements) = 5 /9 = 0.556

Answer:35.032

Step-by-step explanation:

Take 220/3.14=70.06

Divide by two to change diameter to radius and you get about 35.032

The radius of the circle made by Ana’s brother in the blue car is 35 feet.

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

Blue circle:

The total distance around the blue track = 220 feet

This means,

Circumference = 2πr

220 = 2πr

r = 220/2 x 3.14

r = 35 feet

Thus,

The radius of the circle made by Ana’s brother in the blue car is 35 feet.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ2

Answer:

I could be wrong, but I think it's x=12

Answer:

Step-by-step explanation:

First let's set this into a proportion:

[tex]\frac{8}{x}=\frac{12}{18}\\144=12x\\12=x[/tex]

Hope this helps

Answer:

3.49 inches

Step-by-step explanation:

circumference = 2(2)(π) = 12.56 inches

(100/360)(12.56) = 3.49 inches

Answer:

it is a game

Step-by-step explanation:

Answer:

Yes, the answer would be 523.6

Step-by-step explanation:

Formula for Volume of a cone:

V = πr²(h/3)

r = d/2

10/2

r = 5

V = πr²(h/3)

V = π(5²)(20/3)

V = π(25)(20/3)

V = 523.6

Answer:

1/25

Step-by-step explanation:

Given :

Let :

Y = yellow marbles

P = pink marbles

B = blue marbles

Y = 2 ; P = 3 ; B = 5

Note : selection is done with replacement :

Probability = required outcome / Total possible outcomes

Total possible outcomes = (2+3+5) = 10

Probability of drawing 2 yellow marbles :

First Draw : P(yellow) = 2 /10 = 1/5

Second draw: P(yellow) = 2/10 = 1/5

Probability of drawing 2 yellow marbles :

1/5 * 1/5 = 1 /25

Answer:

C, 63.00

Step-by-step explanation:

6*50=300

5*40=200, *5=1000

4*50=200, *10=2000

3*40=120, *25=3000

_________________

6300 cents

$63.00

{$63$}

Answer:

scalene acute is the answer

Answer:

Since there are an infinite number of lines through the center, the circle has an infinite number of lines of symmetry. When the circle is folded over a line of symmetry, the parts of the circle on each side of the line match up. This means that the parts of the circle on each side of the line must have the same area.

Step-by-step explanation:

Answer:

x=6, AB=13, y=10, AD=13, P=46

Step-by-step explanation:

3x-5=x+7

2x=12

x=6

AB: 3(6)-5= 13

2y-7=y+3

y=10

AD: 10+3=13

Perimeter= 13+13+10+10=46

Answer:

B

Step-by-step explanation:

sorry if i am wrong

Answer:

1. 2x+7=2x+2 (would eventually get 7=2 which isn't true

2. like terms would be -3a and 10a, 9c and -7c, and 4 is by itself----coefficents would be the number before a varible so -3, 9, -7, and 10------finally the constants would be the numbers by itself so 4

(if you simplify this equation it would be 7a + 2c + 4 since you're combining like terms)

Step-by-step explanation:

1. An equation with no solution means that after simplification you determine it isn't possible this would be things like 2=7 or 1=3 which just aren't true so since they aren't a real equation they are labeled as "no solution" (P.S. if you don't know what infinetly many solutions is eithier it's basically when you have an equation that results in an answer like 0=0 or 5=5 where we know that it is true but I't doesnt give a real value for any of the variables so their are infinite possibilities for the variables value)

2. Like terms - terms that share a common variable (or lack therof) so if you had two numbers with the variable "a" after them you could combine them and the same applies with whole numbers so you could add -5 and 7 together

Coefficeints - basically just the variable in an equation so a value like "x" or "a" that comes after a number

Constants - Any number not followed by a varible so any whole number really for example in 4x+3=5 the 3 and 5 would be considered constants as they are real numbers

Answer:

A

Step-by-step explanation:

To find volume you multiply lwh

Answer:

2400 [tex]$cm^3$[/tex]

Step-by-step explanation:

From the triangle on the left, we can see that height is 15cm and from the triangle on the right, we can see that base is 8cm of the triangle, as both triangles are identical. So the area of the triangle is,

[tex]b = 8 cm\\h = 15cm[/tex]

[tex]A = \frac{1}{2}bh\\= \frac{1}{2}\times8\times15 cm^2\\= 60 cm^2[/tex]

The area of the prism should be the length of the prism times the area of the triangle. So it is [tex]60 cm^2 \times 40 cm = 2400 cm^3[/tex]

Answer:

9

Step-by-step explanation:

Answer:

AC = 15 units

Step-by-step explanation:

Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{AB}{BC}[/tex] = [tex]\frac{AD}{DC}[/tex] , substitute values

[tex]\frac{12}{18}[/tex] = [tex]\frac{6}{x}[/tex] ( cross- multiply )

12x = 108 ( divide both sides by 12 )

x = 9

Then

AC = 6 + 9 = 15 units

Answer:The bases on a baseball diamond are 90 feet apart. how far is it from home plate to second base? - 4961702. ... so for a right triangle, when we've got legs a and b and hytponuse c then a²+b²=c² ... Form a triangle with vertices at home base, first, and second. Home to first ... Get more out of Brainly. See top ...

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Because 92 occurs the most and some of the numbers aren't even there.

Answer:

There are loads, but for example you can find the diagonal from a lamppost the the end of its shadow if you know the height of the post and the length of the shadow.

Hope I helped x

Answer:

v =-1/2 hope it may help u

Step-by-step explanation:

v =u+at

v=2 -5/2

v=4-5/2

v=-1/2/2

Answer:

Step-by-step explanation:

Given

u = 2 , a = - 5 t = 1/2

Now

v = u + at

  = 2 + (-5) * 1/2

 = ( 4 - 5) /2

 = - 1/2

Answer:

Median is 5

Mode is 1

Range is 8

Mean is 4.7

Step-by-step explanation: