Explain what the laws of algebra are and how they relate to solving equations with variables on both sides.

Based on the given probability of 2/20 (0.1), the likelihood of selecting a black pen from Mrs. Galvan's drawer of 20 pens is best described as:

A. unlikely

Since there are only 2 black pens out of 20 total pens, the probability of randomly selecting a black pen is fairly low at 0.1 or 10%. Events with probabilities less than 0.5 (50%) are generally considered unlikely. Having only a 1 in 10 chance of an outcome makes that outcome unlikely.

B. likely

This option is incorrect. With a probability of 0.1 or 10%, selecting a black pen is unlikely, not likely. An outcome is considered likely if it has a probability of greater than 0.5 (50%).

C. neither unlikely nor likely

This option is also incorrect. While probabilities close to 0.5 could be described as neither unlikely nor likely, a probability of 0.1 is clearly on the unlikely side. Events with probabilities less than 0.5 are classified as unlikely.

In summary, given that there is only a 10% chance (2 out of 20) of randomly selecting a black pen from Mrs. Galvan's drawer, the likelihood of this outcome is best described as unlikely rather than likely or neither unlikely nor likely. A probability of 0.1 is well below the 0.5 threshold that would make an outcome considered likely. Therefore, the answer is A: unlikely.

Hope this explanation has helped clarify why A is the best choice! Let me know if you have any other questions.

Answer:

A. Unlikely

Step-by-step explanation:

Getting a black pen is lesser than the 50%, which is 10/20. Not more nor equal, so the answer is A, unlikely.

Answer:

The total weight of the packages would be 43.875.

Step-by-step explanation:

The total weight of the packages would be 43.875 because all you have to do is add each amount to get the total. So, you would do 14.125 + 12.35 + 17.4 to equal 43.875.

Answer:

Mulyiply.

Step-by-step explanation:

Answers & Step-by-step explanation:

#1. Insert given values:

\(16*\frac{1}{4} -4*6\)

Simplify multiplication from left to right. Use the rule \(\frac{a}{b}*c =\frac{ac}{b}\):

\(\frac{16}{4}-4*6\\\\ 4-4*6\)

Simplify multiplication:

\(4-24\)

Simplify subtraction:

\(-20\\\\16a-4b=-20\)

#2. Insert given values:

\(\frac{5*6}{32*\frac{1}{4} }\)

Simplify multiplication:

\(\frac{30}{32*\frac{1}{4} }\)

Simplify multiplication. Use the rule \(\frac{a}{b} *c=\frac{ac}{b}\):

\(\frac{30}{\frac{32}{4} }\)

Simplify division:

\(\frac{30}{8}\)

Simplify fraction:

\(\frac{15}{4} \\\\\frac{5b}{32a}=\frac{15}{4}\)

#3. Insert given values:

\(12*\frac{1}{4} +(6-\frac{1}{4} -4)\)  

Simplify subtraction within parentheses. Convert to fractions. Use the rule \(a=\frac{a}{1}\):

\(\frac{6}{1} -\frac{1}{4} -\frac{4}{1}\)

Make all denominators the same. Multiply top and bottom by 4 (only do this to the fractions with 1 as the denominator):

\(\frac{24}{4}-\frac{1}{4}-\frac{16}{4}\)

Simplify subtraction. Subtract the numerators. The denominator will stay the same:

\(\frac{24}{4}-\frac{1}{4}-\frac{16}{4}=\frac{7}{4}\)

Insert:

\(12*\frac{1}{4} +\frac{7}{4}\)

Simplify multiplication. Use the rule \(\frac{a}{b} *c=\frac{ac}{b}\):

\(\frac{12}{4} =3\)

Insert:

\(3+\frac{7}{4}\)

Simplify addition. Convert the whole number to a fraction. Use the rule \(a=\frac{a}{1}\):

\(\frac{3}{1} +\frac{7}{4}\)

Multiply top and bottom of the first term by 4:

\(\frac{12}{4}+\frac{7}{4}=\frac{19}{4} \\\\12a+(b-a-4)=\frac{19}{4}\)

:Done

Answer:

The brother received 25% and the sister received 75%

Step-by-step explanation:

Answer:

The brother received 25% and the sister received 75%

Step-by-step explanation:

Answer:

Step-by-step explanation:

2,500,000 * .3 = 750,000

A) 3* 750,000 = 2,250,000

2,500,000*.4 = 1,000,000

B) 2*1,000,000 = 2,000,000

A-B = profit

profit was 250,000

2,500,000 * 5 = 12,500,000  ( total costs )

12,750,00 ( total sales)

what percent is 250,000 of 12,500,000 ?    

250,000 / 12,500,00 = 0.02

this is 2% profit  :/   not so good  

Answer:

A: 5

Step-by-step explanation:

4x + y = 17 --> y = 17 - 4x

5x + 2y = 22

<=> 5x + 2 . (17 - 4x) = 22

<=> 5x - 8x + 34 = 22

<=> 34 - 3x = 22

<=> 3x = 34 - 22 = 12

<=> x = 4

y = 17 - 4x = 17 - 4 . 4 = 17 - 16 = 1

So, x + y = 4 + 1 = 5

Answer: A. 5

Answer:

About 4% was his saving before tax

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

You need to subtract 7 from both sides and then divide -16 by 4 and then you have your answer of x = -4

x

=

−

16

Explanation:

Isolate the term in  

x

on the left side:

5

−

5

+

x

4

=

1

−

5

x

4

=

−

4

←

multiply both sides by 4

4

1

×

x

4

=

−

4

×

4

x

=

−

16

Answer:

x = -16

Step-by-step explanation:

5 + x/4 = 1

Subtract both sides by 5

x/4 = -4

Multiply both sides by 4

x = -16

The answers is: 33

33 is the integer that represents her location relative to the surface after 7 seconds.

And 33 feet far the diver have to go to return to the surface.

Step-by-step explanation:

Given:

A scuba diver is 15.5 feet below the surface of the water.

The diver continues to swim downward at a rate of 2.5 feet per second.

Now, to find the integer represents her location relative to the surface after 7 seconds.

And to find how far does the diver have to go to return to the surface.

So, to get the integer represents her location relative to the surface after 7 seconds.

Initial depth = 15.5 feet.

Distance traveled down = 7 × 2.5 = 17.5 feet.

Final depth of water surface = Initial depth + Distance traveled down.

Final depth of water surface = 15.5 feet + 17.5 feet.

Final depth of water surface = 33 feet.

Thus, 33 is the integer represents her location relative to the surface after 7 seconds.

Now, to get how far does the diver have to go to return to the surface:

As, the diver goes to 33 feet down to the surface.

Thus, the diver to return she have to go through the same distance.

So, to return to the surface she need to go to 33 feet far.

Therefore, 33 is the integer that represents her location relative to the surface after 7 seconds.

And 33 feet far the diver have to go to return to the surface.

Answer:

9 feet easy to solve this is answer

The value of the mean and the mean absolute deviation are 7.8 and 2.568 respectively.

The mean value of a distribution can be obtained using the relation :

ΣX = 18 + 14 + 0 + 7 + 5 + 7 + 10 + 7 + 6 + 9 + 12 + 3 + 14 + 4 + 11 + 16 + 0 + 10 + 9 + 5 + 0 + 16 + 11 + 2 + 4 = 195

n = 25

Mean = Sum of numbers / Total count of numbers

Mean = 195 / 25

Mean = 7.8

So, the mean of Sample #2 is 7.8.

Obtain the absolute deviations of each number from the mean (7.8):

Absolute deviations: |18 - 7.8|, |14 - 7.8|, |0 - 7.8|, |7 - 7.8|, |5 - 7.8|, |7 - 7.8|, |10 - 7.8|, |7 - 7.8|, |6 - 7.8|, |9 - 7.8|, |12 - 7.8|, |3 - 7.8|, |14 - 7.8|, |4 - 7.8|, |11 - 7.8|, |16 - 7.8|, |0 - 7.8|, |10 - 7.8|, |9 - 7.8|, |5 - 7.8|, |0 - 7.8|, |16 - 7.8|, |11 - 7.8|, |2 - 7.8|, |4 - 7.8|

Now Calculate the sum of absolute deviations:

Sum of absolute deviations = 64.2

Obtain the mean absolute deviation (MAD)

MAD = Sum of absolute deviations / Total count of numbers

MAD = 64.2 / 25

MAD = 2.568

So, the mean absolute deviation of Sample #2 is approximately 2.568.

Learn more on mean : https://brainly.com/question/20118982

#SPJ2

Answer:

1.75

Step-by-step explanation:

0.315 divided by 0.18 is 1.75

hoped it helped :)

Answer:

1,-1 is the answer that I think if might be wrong

Answer:

4,189,640 km

Step-by-step explanation:

Answer:

Answer: =2a + 16

Step-by-step explanation:

8+9−1+2a  =8+9+−1+2a

now its time to to do CLT  

=8+9+−1+2a

=(2a)+(8+9+−1)

=2a+16

Answer:True

Step-by-step explanation:

Answer:

8, 11, 19, 1, 6, 18, 3

Step-by-step explanation:

8+11+19+1+6+18+3=66

Answer:

(10t + u)(10u + t) = 4,930

100tu + 10t^2 + 10u^2 + tu = 4,930

101tu + 10t^2 + 10u^2 = 4,930

10t^2 + (101u)t + (10u^2 - 4,930) = 0

(101u)^2 - 4(10)(10u^2 - 4,930)

= 10,201u^2 - 400u^2 + 197,200

= 9,801u^2 + 197,200

We see that u = 5 gives 442,225.

√442,225 = 665

(10t + 5)(50 + t) = 4,930

500t + 10t^2 + 250 + 5t = 4,930

10t^2 + 505t - 4,680 = 0

2t^2 + 101t - 936 = 0

t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)

= (-101 + √17,689)/4

= (-101 + 133)/4 = 32/4 = 8

So the numbers are 58 and 85.

58 + 85 = 143

Answer:

first error was 2(8) = 10 it should have been 16 as it is multiplication                             second error  8+56 = 64  is should have been 8-56 = 48 or 56-8 = 48                      third error is 10+2 = 12  is should have been -2-10 = -8    forth error is 3/16 as does ste fro 64/12 however should have been 48/ -8 = -5

Step-by-step explanation:

Answers:

- DH is correct because a line is connecting the two points D and H as shown in the image, forming a line segment.

- ED is correct because a line is connecting the two points D and E, forming another line segment, as shown in the drawing.

- EH is incorrect because in the drawing shown, there is no line connecting the two points E and H, so there would be no line segment formed between these two points.

- CD is correct because there is another line connecting the two points C and D, forming another line segment in the drawing.

Therefore, lines DH, ED, and CD are all line segments.

Answer:

The answer is 3

y=4x-3❌

Step-by-step explanation:

1)y=3x=3(1)=3✅

2)y=x+2=1+2=3✅

3)y=4x-3=4-3=1❌

4)y=4x-1=4-1=3✅

Answer:

Usually there should only be 4 squares, but I SHALL HELP YOU

Step-by-step explanation:

(You may know this)

For Baby Smiley to have curly hair, both of her parents would have to have heterozygous for straight hair. So Baby Smiley has a 1 in 4 chance/ 25% chance of curly hair.

so this should be the answer:

S          S         s

s       \(\left[\begin{array}{ccc}SS&Ss&\\Ss&ss\end{array}\right]\)

Answer:

\(( {x}^{2} + 16x + 64) - (x + 8)(x - 4) = k(x + 8) \\ ( {x + 8)}^{2} - (x + 8)(x - 4) = k(x + 8) \\ (x + 8) - (x - 4) = k \\ k = (x - x) + (8 + 4) \\ k = 12\)

Answer:

Step-by-step explanation:

a² + 2ab + b² = (a + b)²

2ab = 2 * x * 8 = 16x

x²  + 16x + 64 = x² + 2* x * 8 + 8²  

                      = (x + 8)²

x² + 16x + 8 - (x +8)(x - 4) = (x+8)² - (x+ 8) (x -4)

                                        = (x +8)(x +8) - (x + 8)(x - 4)

(x +8 ) is common in both terms

                                        = (x + 8) [ (x + 8) - (x - 4) ]

                                        = (x + 8) [ x + 8 - x + 4 ]  

{Combine like terms. so x + (-x ) = 0   and 8 +4 = 12}

                                         = (x + 8) [ 12]

k = 12

Answer:

7a+b-9c+17d

Step-by-step explanation:

-5 ( a-2b+3c -4d) - (-3) (4a -3b+2c-d)

Distribute

-5a+10b-15c+20d+12a-9b+6c-3d

Combine like terms

7a+b-9c+17d

7a + b - 9c + 17d

step-by-step explanation

(- 5)( a - 2b +3c - 4d ) - (-3)( 4a - 3b+2c - d )

- 5( a - 2b + 3c - 4d ) - (-3)( 4a - 3b + 2c - d)

Using Distributive property

- 5a + 10b - 15c + 20d + 12 a - 9b + 6c - 3d

Arranging like terms together

- 5a + 12a + 10b - 9b -15c + 6c + 20d -3d

7a + b - 9c + 17d

Answer:

it's Zac Efron for sure, Leonardo DiCaprio is just not the same...