Solve absolute value inequality 4>|x+1|+2

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Work Shown for problem 1

P(pink, then violet) = P(pink)*P(violet given 1st was pink)

= (4/14)*(2/13)

= 8/182

= 4/91

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Work Shown for problem 2

P(gray, then gray)

= P(gray)*P(gray given 1st was gray)

= (3/14)*(2/13)

= 6/182

= 3/91

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Work Shown for problem 3

P(not yellow, not yellow)

= P(not yellow)*P(not yellow given 1st was not yellow)

= (9/14)*(8/13)

= 72/182

= 36/91

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

Work Shown for problem 4

P(yellow, not yellow)

= P(yellow)*P(not yellow given 1st was yellow)

= (5/14)*(9/13)

= 45/182

The research explores the various factors that may influence the learning choices of first-year undergraduates, such as the family and educational background of the student, their socioeconomic status and the availability of resources, among others.

Factor is a mathematical quantity which is multiplied with another quantity to give a product. Factors can also be defined as the numbers that divide a given number exactly. Factors are used in everyday life to calculate many different types of problems, such as compound interest, speed, distance and time, and more. Factors are also used in statistics and probability to determine the likelihood of certain events occurring.

The paper will also examine the various types of postgraduate courses that are available to undergraduates, including those offered by universities and other institutions, such as professional courses or distance learning programmes.

The research adopts a qualitative approach, and will use semi-structured interviews with first-year undergraduates to gain an understanding of their learning choices, and the factors that influence them. Interviews will be conducted with students in different disciplines, in order to gain an insight into how the different disciplines shape students' learning preferences. The research will also use questionnaires to obtain data on the socioeconomic background, family background and educational background of students.

In addition, the research will use documentary analysis of university prospectuses and websites, and information from other sources, such as employers and professional bodies, to gain an understanding of the various postgraduate courses that are available to undergraduates. This data will be used to compare and contrast the learning choices of undergraduates from different disciplines and economic backgrounds.

Finally, the research will use an interpretive approach to analyse the data collected and develop a theory of the factors that influence the learning choices of first-year undergraduates. The theory will be used to inform the design of initiatives to help undergraduates make informed decisions about their learning choices.

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Answer:

1:2

is your answer

Step-by-step explanation:

Answer:

30: 100

31: -13

32: -45

33: 14

34: -32

35: -22

36: 17

Step-by-step explanation:

³93521586335445555554555554488807799654

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

sec(t)

Step-by-step explanation:

\(\csc(t)\tan(t)=\frac{1}{\sin(t)}\times\frac{\sin(t)}{\cos(t)}=\frac{1}{\cos(t)}=\sec(t)\)

The single Trigonometric rate for csc( t) tan( t) is sec t.

The area of mathematics that deals with particular angles' functions and how to use those functions in computations. There are six popular trigonometric functions for an angle. Sine( sin), cosine( cos), divagation( tan), cotangent( hut), secant( sec), and cosecant are their separate names and acronyms( csc).

Given:

csc( t) tan( t)

As, we know that csc t = 1/ sin t

and, tan t = sin t/ cos t

substituting the values in csc( t) tan( t) we get

csc( t) tan( t)

= 1/ sin t x sin t/ cos t

= 1/ cos t

= sec t

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Y is 275.Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation.

Add any like terms together, combining x-terms with x-terms and constants with constants, on either side of the equation. The x-term is typically put before constants when arranging the terms in the same sequence. The two phrases are equal if each of the terms in both of them is the same.

Explanation:

x 2 + xy+xz=135; y 2 + yz+ xy=351; z 2 + xz+ yz=243; (iii)

When I (ii), and (iii) are added together, we obtain x 2 + y 2 + z 2 + 2(xy+yz+xz) = 729, which converts to (x+y+z) 2 = 27 2.

x+y+z=27

........

(iv)

According to equation I x 2 + x y + x z = 135 => x(x+y+z) = 135 => x27=135 => x=5

In equation (ii), we have y 2 + y z + x y = 351, which leads to y (x+y+z) = 351.

y×27=351 \s=>

y=13

Once more, we obtain the following from equation (iii): z 2 + x z + y z = 243; z (x + y + z) = 243; z 27 = 243.

z=9 \sx \s2 \s +y \s2 \s +z \s2 \s =5

2 \s +13 \s2 \s +9 \s2 \s =275.

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Answer:

5x+7 > 17 matches with 3.

1+3x > -5 matches with 2.

2x+1 < 3 matches with 1.

5-3x > 11 matches with 4.

Step-by-step explanation:

Answer:

Part A: First you distribute the 6(2x-11) and simplify. Then, you get the variables on the same side by subtracting 3x. Next, you do inverse operations by adding 51 to both sides and dividing 9 from both sides

Part B: x=7

Step-by-step explanation:

First thing you should do is distribute out the 6(2x-11) to get 12x-66+15=3x+12. then you simplify to get 12x-51=3x+12. Next you need to get both variable on the same side so just to keep positive number to make it easier you will subtract 3x from both sides to get 9x-51=12. now it is simple algebra where you add 51 to both sides of the equation to get 9x=63. Finally, you divide both sides by 9 to get x=7

Answer:

14×7=98

188-98=90 so she had 90 left

Answer:

438 miles

Step-by-step explanation:

You need to find 120% of 365 because 120% would just be 100% (the starting 365 miles) + the 20% miles on the third day. 120% of 365 would be 438 miles.

Answer is (d). 1m & 4 m. The magnitude of the result of P + Q is between P + Q and P - Q. The magnitude of the resultant is between 3 and 5 meters when the displacement is between 1 and 4 meters.

A resultant displacement is produced when displacement vectors are added. However, as long as two vectors have the same vector amount, any two vectors can be added. A resultant velocity is produced when two or more velocity vectors are added. A resultant force is created when two or more force vectors are joined together.

S = x^2 + y^2 is the displacement formula that results. For displacement, use the letter "S." The object is moving in two directions at once: X in the first direction and Y in the second. Y = 0 if your object only moves in one direction.

verify option 1:

(1,1) = P+Q = 1+1=2

P-Q = 1-1 =0

Resultant R = 2+0 = 2 (so, we can add this Option)

verify option 2:

(1,2) = P+Q = 1+2=3

P-Q = 1-2 =-1

R= 3-1= 2 (so, we can add this Option)

verify option 3:

(1,3) = P+Q = 1+3=4

P-Q = 3-1 = 2

R= 4-2= 2 (so, we can add this Option)

verify option 4:

(1,4) = P+Q = 1+4=5

P-Q = 1-4 = 2

R= 5-2= 3 (so, we can't add this Option)

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Answer:

dunno

Step-by-step explanation:

lol

Answer

a. The backpack is $4.50

b. The sweatshirt is $2.70

Step-by-step explanation:

a. 30 x 0.15 = 4.50 (The 0.15 is from the price you are actually paying for the item. Because the item is 85% off, you are paying for 15% of the usual price. 15% as a decimal is 0.15 so you multiply that to the original price to find the amount u will pay.)

b. 18 x 0.15 = 2.70  

Answer:

To calculate the value of each investment at the end of 2010, we need to use the compound interest formula:

A = P(1 + r/n)^(nt)

where:

A = the final amount

P = the initial investment

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

For the investment in the fund tracking stocks:

P = $300

r = 6.4% = 0.064

n = 1 (assuming the interest is compounded annually)

t = 2010 - 1900 = 110

A = 300(1 + 0.064/1)^(1*110) = $208,884.78 (rounded to the nearest cent)

For the investment in the fund tracking bonds:

P = $300

r = 1.7% = 0.017

n = 1

t = 2010 - 1900 = 110

A = 300(1 + 0.017/1)^(1*110) = $2,326.34 (rounded to the nearest cent)

For the investment in the fund tracking cash:

P = $300

r = 0.7% = 0.007

n = 1

t = 2010 - 1900 = 110

A = 300(1 + 0.007/1)^(1*110) = $862.38 (rounded to the nearest cent)

Therefore, the investment in the fund tracking stocks would be worth approximately $208,884.78 at the end of 2010, the investment in the fund tracking bonds would be worth approximately $2,326.34, and the investment in the fund tracking cash would be worth approximately $862.38.

Answer:

yes you can

apart from getting rid of the denominator you can collect like terms

Step-by-step explanation:

d=6-3/5

6=30/5

30/5-3/5

27/5

d=27/5

Answer:

The length for the edge should be 6.

Step-by-step explanation:

Hope this helps

1. The cost of 7 pounds will be $31.50

2. The pounds that will give $49.50 will be 11 pounds.

The word problem is a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this case, 5 pounds of raspberries cost $22.50 at a grocery store. The cost of 7 pounds will be:

= ($22.50 / 5) × 7

= $31.5

The pounds that will give $49.50 will be:

= $49.50 / 4.5

= 11 pounds.

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The solution to the compound inequality in interval notation is [-7, 5)

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

3x - 10 < -5x + 30 AND 3(-7x - 7) + 6 ≤ - 6x + 132

Evaluate the like terms in the above expression

So, we have the following representation

8x - 10 < 30 AND 3(-7x + 7) + 6 ≤ - 6x + 132

Open the brackets

This gives

8x - 10 < 30 AND -21x + 21 + 6 ≤ - 6x + 132

Evaluate the like terms in the above expression

So, we have the following representation

8x < 40 AND -15x ≤ 105

Divide both sides by the coefficient of x

This gives

x < 5 AND x ≥ -7

Combine the inequalities

[-7, 5)

Hence, the solution is [-7, 5)

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Answer: 420 different codes.

Step-by-step explanation:

We have eight digits, {0, 0, 0, 0, 2, 2, 4, 4}

For the first digit of the code, we will have 8 options.

For the second we will have 7 options (because we already took one)

for the third one we will have 6 options, and so on.

for the fourth, we will have 5 options

for the fifth, there are 4 options.

for the sixth, there are 3 options.

for the seventh, there are 2 options.

And for the last, there is only one option.

The total number of combinations will be equal to the product between the numbers of options for each digit, then we will have:

C = 8*7*6*5*4*3*2*1

But there is something more, the zeros can permute and will give the same code (So we are counting the same code several times), we have 4 zeros, then the number of permutations of the zeros is:

4*3*2*1  = 24

the 4's also are repeated, two times in this case, the number of permutations is:

2*1 = 2

And the 2's also are repeated, also two times, the number of permutations is:

2*1 = 2

Because we do not want to count these repetitions, we need to divide the total number of combinations by these 3 numbers of permutations

This means that we need to divide the number of different combinations will be:

c = (8*7*6*5*4*3*2*1)/(24*2*2) = 420

So we can conclude that there are 420 different codes.

The number of eight digit codes she can make using the digits in her birthday is; 420 eight digit codes

The 8 digits code of her birth date are;

0, 4, 0, 2, 2, 0, 0, 4

Now, since there are 8 digits, then number of ways of arranging the 8 digits is 8!

Since there are some repetitions, then we have to consider the permutations for them too.

There are four 0's which is 4!

There are two 2's which is 2!

There are two 4's which is 2!

Thus, number of 8 digit codes she can make using the digits on her birthday is;

8!/(4! × 2! × 2!) = 420 eight digit codes

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Answer:

yes I just checked it

Step-by-step explanation:

Answer:

f(3) = 14

Step-by-step explanation:

f(x) = 3x +5

Let x = 3

f(3) = 3*3 +5

      = 9 + 5

      = 14

Answer:

Step-by-step explanation:

fș

Answer:

The symbols that we will use are:

a > b   (a is larger than b)

a < b   (a is smaller than b)

a ≥ b   (a is larger than or equal to b)

a ≤ b  (a is smaller than or equal to b).

1) if x represents the inches of snow, we have:

"More than 4 inches" means that x must be strictly larger than 4 inches, this can be written as:

x > 4 inches.

2)  "less than 25 inches" means that x must be strictly smaller than 25 inches, this can be written as:

x < 25 inches.

3) If T represents the temperature

"No more than 8°F" means that the temperature can be smaller than 8°F, or equal to 8°F, then we can write this situation with:

T ≤ 8°F

4) "At least 7°F" means that the temperature can be 7°F or more than that, then we can write this situation as:

T ≥ 7°F

Answer:

what do you mean by land ?

The intensity of sound is proportional to the square of its amplitude.

Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:

I9/I8 = (10^(9/10))/(10^(8/10))

I9/I8 = 10^(0.1)

I9/I8 = 1.2589

Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

Answer:

(z+2)(z+3)(x-8)

Step-by-step explanation:

z² + 5z + 6 can be factored into (z+3)(z+2)

zx + 2x − 8z-16 can be factored into (x-8)(z+2)

the LCM would be (z+2)(z+3)(x-8)

if you were to multiply the two expressions together, you would multiply (z+2)^2, which is not necessary for LCM, which is why you factor them first

Answer:

0.260

Step-by-step explanation:

According to the Question,

And, it found that ​P(D)=0.740​, where D is directly in person.

⇒P(D) is the probability flirting of directly in person.

⇒P( D ) represents the probability of flirting other than in person.  

P(D)=0.740    &   P( D )=1 - P(D)

P( D ) = 1 - 0.740.

P( D ) = 0.260

Hence the value of Upper P left parenthesis Upper D overbar right parenthesis is 0.260.