Owen knows he only has three pencils in his backpack , and they are all yellow. He reaches into his backpack without looking and takes out a pencil . What is the probability that the pencil was yellow

Answer:

576

Step-by-step explanation:

a²b²c² = 2² * 3² * 4² = 4 * 9 * 16 = 576

Answer:

Step-by-step explanation:

To convert the value 1,000,000 to an exponential form means we are to write the value in multiples of 10.  Breaking down the values in multiples of 10 will give;

1,000,000 = 10 * 10 * 10 * 10 * 10 * 10 (it is broken down into 6 places because the value contains 6 zeros)

Express in exponential form

1,000,000 = (10 * 10 * 10) * (10 * 10 * 10)

1,000,000 = (10³) * (10³)

1,000,000 = 10³⁺³

1,000,000 = 10⁶

Hence the value 1,000,000 in exponential form is expressed as 1 * 10⁶

For 10 * 10:

10 * 10 = 10¹ * 10¹

10 * 10 = 10¹⁺¹

10 * 10 = 10²

10 * 10 = 1 * 10²

The value of the expression 10*10 in exponential form is 1 * 10²

For 10,000 * 10:

10,000 * 10 = (10*10*10*10) * 10

10,000 * 10 = (10⁴) * 10¹

10,000 * 10 = 10⁴⁺¹

10,000 * 10 = 1 * 10⁵

Hence, The value of the expression 10000*10 in exponential form is 1 * 10⁵

Answer:

C. 46, D. 32

Step-by-step explanation:

Each term is obtained by adding 4 to a multiple of 7.

Subtract 4 from each choice:

A. 32

B. 20

C. 42

D. 28

Only 42 and 28 are multiples of 7, so the answer is:

C. 46, D. 32

Answer: OPTION C AND D

Step-by-step explanation:

Plug all the numbers given into the expression of sequence in order to find out which number fits in the sequence.

A. 36

an=7n+4

36=7n+4

32=7n

n=32/7

INCORRECT. It is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

B. 24

an=7n+4

24=7n+4

20=7n

n=20/7

INCORRECT. Same as the reason above, it is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)

C. 46

an=7n+4

46=7n+4

42=7n

n=6

CORRECT. It is a integer.

D. 32

an=7n+4

32=7n+4

28=7n

n=4

CORRECT. It is a integer.

Hope this helps!! :)

Please let me know if you have any question

Answer:

st

Just substitute in the given values

Step-by-step explanation:

Hey, there!!

You can solve it simply,

1.

Given,

x= 1 , y=2 , z= 3

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {1}^{2} } - \frac{1}{2 + 3} [/tex]

[tex] = 1 - \frac{1}{5} [/tex]

Taking LCM,

[tex] = \frac{5 - 1}{5} [/tex]

Therefore, the final answer is 4/5.

2.

Given,

x= 1 , y= -2, z= -1.

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {1}^{2} } - \frac{1}{ - 2 - 1} [/tex]

Taking LCM,

[tex] = \frac{ - 3 - 1}{ - 3} [/tex]

[tex] = \frac{ - 4}{ - 3} [/tex]

Cancelling the minus sign,

[tex] \frac{4}{ 3} [/tex]

is the final answer.

3.

Given,

x= -3, y= -1, z= 4

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ {( - 3)}^{2} } - \frac{ - 3}{ - 1 + 4} [/tex]

[tex] = \frac{1}{9} - ( - 1)[/tex]

[tex] = \frac{1 + 9}{9} [/tex]

Therefore, the answer is 10/9.

4.

Given,

x= 1/2, y=1, z=1.

To solve:

[tex] = \frac{1}{ {x}^{2} } - \frac{x}{y + z} [/tex]

[tex] = \frac{1}{ ( { \frac{1}{2}) }^{2} } - \frac{ \frac{1}{2} }{1 + 1} [/tex]

Simplifying them ,

[tex]1 \times \frac{4}{1} - \frac{1}{2} \times 2[/tex]

[tex] = 4 - 1[/tex]

Therefore, the answer is 3.

Hope it helps...

Perimeter = a + b + c = 30

Area = 1/2 x a x b = 30

Multiples of 30: 2, 3, 5, 6, 10, 12, 15

For perimeter c = 30- (a+b)

C= sqrt( a^2 + b^2)

Using the possible combinations of the above:

5 and 12:

C = sqrt(5^2 + 12^2) = 13

5 + 12 + 13 = 30 for the perimeter

Area = 1/2 x 5 x 12 = 30

The sides are 5, 12 and 13 cm

Answer:

12 cm, 5 cm,  13 cm

Step-by-step explanation:

Sides of triangle:

Perimeter:

Area:

As per Pythagorean theorem, side c= √(a²+b²):

Considering ab = 60

Again using ab= 60 to find out sides:

Solving the quadratic equation, its positive root is:

Then we get the rest:

Answer:

[tex]\huge\boxed{Option \ D:f(g(x)) = (x-7)^3}[/tex]

Step-by-step explanation:

[tex]f(x) = x -1\\g(x) = x^3[/tex]

We've to find [tex]f(g(x))[/tex]

Which will be [tex]f(x-7)[/tex]

Putting x in f(x) as x-7

So,

[tex]f(g(x)) = (x-7)^3[/tex]

Answer:

you need one of them to be 0 and the other 2 the negative of each other.

or they must have the same sign and be 1,2,3 (or -1, -2 and -3)

sequence not effect the answer

Step-by-step explanation:

The absolute value is the distance the number is from zero. For example, the absolute value of -4 is 4 and the absolute value of 4 is 4. Also |-24| is 24.

The absolute value of -9 is 9. 2 times 9 is 18.

The absolute value of -4 is 4. 4 times 4 is 16.

The absolute value of 1 is 1. 1 times 1 is 1.

The absolute value of 1 is 11. 11 times 11 is 121.

The absolute value of -2 is 2. 9 times 2 is 18.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

The opposite of a number is the difference it is from zero but on the other side (opposite sign). For example, the opposite of -5 is 5, and the opposite of 2 is -2.

11 is opposite of -11.

-8 is opposite of 8.

31 is opposite of -31.

-1 is opposite of 1.

-17 is opposite of 17.

  ━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

♡ Hope this helped! ♡

❀ 0ranges ❀

Answer:

State A had approximately 1,533 more earthquakes than  State B.

Step-by-step explanation:

Earthquake: The term "earthquake" is determined as the surface shaking of the uppermost layer of the earth that often results from the absurd release of specific energy in the "earth's lithosphere" that tends to create "seismic waves". However, the intensity of the earthquake varies time to time and the weak tremor is rarely being noticed as compared to the higher ones.

Answer:

C

Step-by-step explanation: i took the test and got a 100%

the number that can exactly 19 is 38

Answer:

Ray DE and Ray AE

Step-by-step explanation:

Ray AE and ray CE are the required pair of opposite rays. Option A is correct.

Given that,
A figure has shown, Four rays have been emerging out from a single point E. It is to be determined that which pair of rays are pair of opposite rays.

What is a Line?

A line can be defined by the shortest distance between two points is called a line.

Here, as shown in the figure,
Four trays are emerging out from point E namely, AE, BE, CE, and DE. Rays AE and CE or Ray DE and BE both are pairs of opposite rays

Thus, ray AE and ray CE are the required pair of opposite rays. Option A is correct.

Learn more about lines here:

brainly.com/question/2696693

#SPJ2

Answer:

no solutions

Step-by-step explanation:

3(-n+4)+5n=2n

Distribute

-3n +12 +5n = 2n

2n+12 = 2n

Subtract 2n from each side

12 = 0

This is never true so there are no solutions

Answer:

B. No Solution

Step-by-step explanation:

First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).

[tex]-3n + 12 + 5n = 2n[/tex]

Next, you collect the like terms, in this case, the like terms are -3n and 5n.

[tex]2n + 12 = 2n[/tex]

Finally, you will cancel equal terms on both sides of the equation (which is the 2n).

[tex]12 = 0[/tex]

This makes the statement false for any value of n. Meaning that your answer is B, no solution.

Answer:

a :)

Step-by-step explanation:

Answer: show your work and give a clear and understanding explination use a caculator and ask for extra credit work and extra help

Step-by-step explanation:

* make sure to give a word for word explinations and make sure your answer is clear and understanding. If you arent sure wether your answer is correct or not ask for extra credit work and show your work. Try using a caulator

Answer:

6x-10 =32

Step-by-step explanation:

Let the number be x

the product of 6 and a number

6x

ten less than

6x-10

That is equal to 32

6x-10 =32

Step-by-step explanation:

2+19=7x

21=7x

21÷7=7x÷7

3=x

..

Answer:

[tex]y=x+4[/tex]

Step-by-step explanation:

Two parallel lines will have the same slope:

[tex]y=mx+b[/tex]

This is the y-intercept equation, where m is the slope and b is the y-intercept:

[tex]y=x+3[/tex]

The slope is x, or 1x, so the parallel line is also x.

Find the y-intercept:

You do this by taking the equation given and solving for y:

[tex]2x+3y=12[/tex]

Isolate the variable y. Subtract 2x from both sides:

[tex]2x-2x+3y=12-2x\\\\3y=12-2x[/tex]

Isolate y by dividing both sides by 3:

[tex]\frac{3y}{3}=\frac{12}{3}-\frac{2x}{3} \\\\y=4-\frac{2}{3}x[/tex]

Rearrange in slope-intercept form:

[tex]y=-\frac{2}{3}x+ 4[/tex]

The y-intercept of this equation is 4.

Now make the equation using the given information:

[tex]y=x+4[/tex]

:Done

Answer:

[tex]\huge\boxed{y=-\dfrac{1}{4}x-1\to x+4y=-4}[/tex]

Step-by-step explanation:

[tex]\text{Let}\ k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\l\ ||\ k\iff m_1=m_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\==========================\\\\\text{We have}\ x+4y=-6.\\\text{Convert to the slope-intercept form:}\\\\x+4y=-6\qquad\text{subtract}\ x\ \text{from both sides}\\\\4y=-x-6\qquad\text{divide both sides by 4}\\\\y=\dfrac{-x}{4}-\dfrac{6}{4}\\\\y=-\dfrac{1}{4}x-\dfrac{3}{2}\to m_1=-\dfrac{1}{4}[/tex]

[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (9,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}\\\\x=9,\ y=-3\\\\-3=-\dfrac{1}{4}(9)+b\\\\-3=-\dfrac{9}{4}+b\qquad\text{add}\ \dfrac{9}{4}\ \text{to both sides}\\\\-\dfrac{12}{4}+\dfrac{9}{4}=b\to b=-\dfrac{3}{4}[/tex]

[tex]\text{Lines are to be parallel. Therefore}\ m_2=-\dfrac{1}{4}.\\\\\text{We initially have the form equation}\ y=-\dfrac{1}{4}x+b.\\\\\text{The line passes through the point}\ (8,\ -3).\\\\\text{Substitute the coordinates of the point to the equation of a line:}[/tex]

[tex]x=8,\ y=-3\\\\-3=-\dfrac{1}{4}(8)+b\\\\-3=-2+b\qquad\text{add 2 to both sides}\\\\-1=b\to b=-1[/tex]

[tex]\text{Therefore the equation is:}\ y=-\dfrac{1}{4}x-1.\\\\\text{Convert to the standard form}\ Ax+By=C:\\\\y=-\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4y=-x-4\qquad\text{add}\ x\ \text{to both sides}\\\\x+4y=-4[/tex]

Answer:

The correct answer is:

the amount of difference expected just by chance (b)

Step-by-step explanation:

Standard error in hypothesis testing is a measure of how accurately a sample distribution represents a distribution by using standard deviation. For example in a population, the sample mean deviates from the actual mean, the mean deviation is the standard error of the mean, showing the amount of difference between the sample mean and the actual mean, occurring just by chance. Mathematically standard error is represented as:

standard error = (mean deviation) ÷ √(sample size).

standard error is inversely proportional to sample size. The larger the sample size, the smaller the standard error, and vice versa.

Answer:

  take your pick. Each has its own reason.

Step-by-step explanation:

As with a lot of "doesn't belong" problems, the one that is different depends on your criteria. In the attached figure, each one "doesn't belong" for a different reason. Those reasons are listed below each number line.

__

I might choose the lower left: "addition, not subtraction", as it is the only one with arrows in the same direction. That makes its difference from the others more obvious, perhaps.

Answer:

Step-by-step explanation:

What we know

total sum of angles = 540 deg

3/2 b cam also be written as 1.5b degrees.

So 1.5b + (b+45) + (2b - 90) +90 = 540

Step 1 -- get rid of parenthesis

         1.5b + b + 45 +2b -90 +90 =540

Step 2 -- combine the like expressions

         4.5b + 45 = 540

Step 3 -- subtract 45 from both the sides

         4.5b = 495

Step 4 -- divide 4.5 from both the sides

         b = 110  ----- not the right answer

Thats not right okay im sorry

but i guess if it is not 110 it should be 100, 90 etc.

90 = b is correct

Answer:

C

Step-by-step explanation:

So we have the point (-6,-3) and a slope of 4.

And we want to write this into point-slope form.

The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Therefore, substitute in 4 for m and let (-6,-3) be x₁ and y₁, respectively.

Therefore:

[tex]y-(-3)=4(x-(-6))[/tex]

Two negatives make a positive:

[tex]y+3=4(x+6)[/tex]

The answer is C

Answer:

a = 50 degrees

b = 85 degrees

c = 95 degrees

d = 82 degrees

e = 125 degrees

f = 95 degrees

g = 110 degrees

h = 35 degrees

Step-by-step explanation:

1: Since the bottom angle is 124, then we see that a + 74 = 124 because they are corresponding angles.

Solve for a, and we get a = 50 degrees.

2. b is equal to 180 - 95 which is 85 degrees, as it is supplementary with the alternate exterior angle of 95 degrees.

c is equal to 180 - 85 which is 95 degrees, as it is supplementary with the alternate exterior angle of 85 degrees.

3. d is 82 degrees, as it is an alternate interior angle with the 82.

e is 125 degrees, as it is corresponding with the 125.

4. If we extend the left slanted line, we see that the exterior angle of the bottom left angle of the triangle is 130 degrees. We know that 130 = 45 + 180 - f, so we solve for f and get 95 degrees.

5. g = 180 - 70 = 110 degrees, as it is supplementary with the alternate exterior of the corresponding angle of 70.

6. We know that the top right angle of the 120 degrees and the 35 degrees triangle is 25 degrees. Then, the bottom left angle is also 25 degrees as they are alternate interior angles. The other unknown angle in the 25 degrees and h triangle is supplementary to 60, so it is 120 degrees.

We know that 25 + h + 120 has to be 180, so we can solve for h and get 35 degrees.

Step-by-step explanation:

5/12, 2/9, 1/6, 1/2 thats the answer

Answer:

2/9=0.22

1÷3=0.33

5÷12=0.41

1÷6=0.16

Step-by-step explanation:

5/12

1/3

2/9

1/6

Step-by-step explanation:

1. 3( x - 5 ) + 2x - 3

= 3x - 15 + 2x - 3

= 5x - 18

2. 4a - 3 ( 4 - a )

= 4a - 12 + a

= 5a - 12

3. -2 ( b - 6 ) + 2

= -2b + 12 + 2

= -2b + 14

= 14 - 2b

4. 6 - 3 ( 3 + x )

= 6 - 9 - 3x

= -3 - 3x

Answer: 5.044 0z is not pineapple juice

Step-by-step explanation:

total amount of mixed fruit juice: 6.45 oz (oz stands for ounce)

pineapple juice: 1.406 oz

total - pineapple juice=not pineapple juice

6.45 - 1.406=5.044 oz

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Hey there!

1 4/9x+y=2

13x+9y=18

Let me know if this helps :)

The Answer is B.

because

1 4/9x+y=2

13x+9y=18

Hope this helps!

Question 7

---------------------

Work Shown:

angle B = angle D = 56

angle C = angle F = 64

The missing angle A adds with B and C to get 180

A+B+C = 180

A = 180-B-C

A = 180-56-64

A = 60

Since angles B and D are congruent, and C and F are congruent, this must mean angle A = angle E. I'm using the angle angle (AA) similarity rule.

angle E = angle A

3x+15 = 60

3x = 60-15

3x = 45

x = 45/3

x = 15

Side note: I'm not sure why your teacher marked angle E as the same as angles C and F.  They should have used another angle marker to indicate that angles A and E are the same.

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

Question 8

------------------------------

Work Shown:

Triangle ABC is congruent to triangle EDF. The order is important. We have A first, then B, then C for ABC. Also, we have E first, then D, then F for EDF.

Therefore, we have these three pairings

We'll first need angle C

A+B+C = 180

C = 180-A-B

C = 180-42-108

C = 30

which we'll then solve for x

angle F = angle C

4x-4 = 30

4x = 30+4

4x = 34

x = 34/4

x = 8.5

which doubles to

2x = 2*8.5

2x = 17

Answer:

1. x+(5+7)

2.x+ (8-2)

3. (x+8)

4. x-8

5. 8-x

6. 5-n

7.x+x

8. x+ (8-2)

9. n+5

10. n-5

Step-by-step explanation: