expand and simplify (3x-2)2

Answer:

75 percent

Step-by-step explanation:

see the thing is

The probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

Combination is the way of arrangement or the collection of items in the particular order. The order of this group of items does not matter in the combination type of arrangement.

A shipment contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks. If 7 rocks are selected at random, find the probability that exactly 5 are sedimentary.

Number of ways to choose 5 sedimentary from 7  sedimentary is,

[tex]^7C_5=\dfrac{7!}{(7-5)!5!}\\^7C_5=\dfrac{7\times6\times5!}{2!5!}\\^7C_5=\dfrac{7\times6}{2\times1}\\^7C_5=21[/tex]

There are total 23 rocks (9+7+7). Number of ways to choose 7 rocks from 23 rocks is,

[tex]^{23}C_5=\dfrac{23!}{(23-5)!5!}\\^{23}C_5=\dfrac{23!}{18!5!}\\^{23}C_5=33649[/tex]

Thus, the probability that exactly 5 are sedimentary is,

[tex]P=\dfrac{21}{33649}[/tex]

Hence, the probability that exactly 5 are sedimentary is from a shipment which contains 9 igneous, 7 sedimentary, and 7 metamorphic rocks is 21/33649.

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well, x-intercept means for a graphed funciton where the x-axis gets touched/intercepted, Check the picture below, when that occurs, y = 0, so if we want to know what "x" is at that point we can simply set y = 0 and solve for "x".

[tex]-3x-5y=12\implies \stackrel{\textit{setting y = 0}}{-3x-5(0) =12}\implies -3x-0=12 \\\\\\ -3x=12\implies x=\cfrac{12}{-3}\implies x = -4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{coordinates}}{(-4~~,~~0)}~\hfill[/tex]

Answer:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

Step-by-step explanation:

a. 36

b. 8.5 (8 1/2)

c. 2/5

d. 6

e. 9

f. 8

Answer:

70% of the class is composed of men.

Step-by-step explanation:

14: 20*100 =

(14*100): 20 =

1400: 20 = 70

Hello!

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2x+5y=10

We want to turn this equation into y=mx+b form:

5y=-2x+10

Divide both sides by 5:

y=-2/5x+2

Now, the equation of the line parallel to it:

Remember, parallel lines have the same slope.

So these two lines have the same slope (-2/5)

Now, use Point-Slope form:

y-y1=m(x-x1)

y=1=-2/5(x-(-5)

y-1=-2/5(x+5)

y-1=-2/5x-2

y=-2/5x-2+1

y=-2/5-1

Hence, this is the required solution. I hope you find it helpful!

~SparklingFlower

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the straight up answer is -12/5

The given equation solved for y as y=2x-3.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 12x-6y=18.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The equation can be solved as follows

6(2x-y)=18

⇒ 2x-y=3

⇒ y=2x-3

Therefore, the given equation solved for y as y=2x-3.

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QUESTION :-

ANSWER :-

Take Lcm by the denominator ( check the pic )

Now subtract this

[tex] \frac{23}{15} [/tex]

=================================================

[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]

=================================================

To solve the problem, let's find the LCM or Latest Common Multiple.

[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]

[tex] \rightarrow [/tex] LCM = 5 x 3 = 15

[tex] \\ [/tex]

Since the LCM is already finished let's solve for the both numerator and denominator.

[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]

Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.

[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]

Now its time to subtract.

[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]

Therefore, the answer is 1 8/15.

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[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

Answer:

7q + 12

Step-by-step explanation:

simply arrange the given expressions into the traditional way of adding numbers like 1 + 1 but vertically like : 1

1 +

which is equivalent to

6q + 1 +

q + 11

______

7q + 12

why? because 6q plus q is equal to 7q and 1 + 11 is equal to 12

good day.

Answer: 15 inches

Step-by-step explanation:

15 × 1 ÷ 12 = 1.25 ft

1.25 ft = 1.25 × 12 = 15 in

Answer:

D. (19,12)

Step-by-step explanation:

For each bus stop, the X coordinate increases 4, and the Y coordinate increases 2.

Name                x      y      Point

bus station:     3   4     (3,4)

1st bus stop:     7  6     (7,6)

2nd bus stop:    11  8     (11,8)

3rd bus stop:     15  10     (15,10)

4th bus top:     19  12     (19,12)

Answer:

Step-by-step explanation:

19,12

The average speed of his trip is = 12 mile/ hour

The total distance covered by the driver = 240 miles

The rate at which he traveled = 12 miles per hour

Therefore, the time he used to cover his distance

= 240/12

= 20 hrs

But average speed = distance/ time

= 240/ 20

= 12 miles/ hour

Therefore, the average speed of his trip is = 12 mile/ hour

Learn more here:

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Answer:

100011

Step-by-step explanation:

Maybe 28kms in 1 hour

Or 2,8kms because 7/10 is 0,7km

Answer:

C(x)=2400 - 80x

Step-by-step explanation:

since 24000 is a fixed cost, lets put it was the y-intercept (the cost when no canoes are produced and sold). next subtract 160 from 80 to get the amount of cost gained for every canoe produced and sold. this value is -80, it is negative since the company is earning a profit for every canoe produced and sold. now you have your equation: C(x) = 2400 - 80x

Answer:

Step-by-step explanation:

let x be the larger number

x + (4/5)x = 981

(9/5)x = 981

x = 981(5/9)

x = 545

(4/5)(545) = 436

Answer:

B

d(P,Q) = sqrt((xO-xQ)^2 + (yP-yQ)^2) = sqrt(16+9) = 5

Answer:

If you meant -3 + 6, then the correct answer is 3.

You should put some extra effort in composing questions with all the required information, like a picture maybe.

Answer:

your answer has to be 3

Step-by-step explanation:

if you were to move to the right in number line you have to add so -3+6 is equals to 3

Answer:

B' (-1,-5)

Step-by-step explanation:

When it is reflected over the y-axis, the y coordinate stays the same but the x coordinate inverses. In this situation since the x in point B is a positive, the x in point B' will be a negative.

Answer:

NO

Step-by-step explanation:

Answer:

y=10x-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

321

Answer:

10^2

Step-by-step explanation:

10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2

Answer:

100

Step-by-step explanation:

Hope it helps

Answer:

x=4y

Step-by-step explanation:

Solving for x means you need to get it in the form x=?.

1. let's isolate the variable.

-2x-7y=y-4x

Add 4x to both sides to isolate:

2x-7y=y

Add 7y to both sides to isolate the x term:

2x=8y

Now we divide both sides by 2 (as we are solving for x):

x=4y

Hope this helps!

Answer:

449/100

Step-by-step explanation:

1.67 + 2.82 = 4.49

4.49 = 4(0.01) + 49(0.01) = 449(0.01)

Multiplying 449 by 0.01 is the same as dividing 449 by 100

4.49 as fraction = 449/100

-Chetan

Answer: 245.46

Step-by-step explanation:

Hundredth is the 2nd number after the decimal so in this, it would be 245.456456. I'd assume you already know how to round.

Answer:

The answer is the following:

r≈5.64in

Answer:

5.641

Step-by-step explanation:

If you think about it, the formula for getting the area of a circle is:

[tex]a = \pi r^2[/tex]

So to rearrange and make r the subject, divide both sides of the equation by pi:

[tex]\frac{a}{\pi} = \frac{\pi r^2}{\pi}[/tex]

[tex]\frac{a}{\pi} = r^2[/tex]

Now square root both sides to find r:

[tex]\sqrt{\frac{a}{\pi} } = \sqrt{r^{2} }\\\sqrt{\frac{a}{\pi} } = r[/tex]

Plug the known area value in:

[tex]\sqrt{\frac{100}{\pi} } = r[/tex]

= 5.641

Hope this helps!