Consider the probability model with sample space (A,B,C} and P(A)=0.1, P(B)=0.1, P(C)=0.8.Then

Answer:

3a² + 6ax + 5a

Explanation:

Given the following function

g(x) = 3x² - 5x

Determine g(x+a)

g(x+a) = 3(x+a)² - 5(x+a)

Expand the result

g(x+a) = 3(x² + 2ax + a²) - (5x - 5a)

g(x+a) = 3x² + 6ax + 3a² - 5x + 5a

Determine g(x + a) - g(x)

g(x + a) - g(x) = 3x² + 6ax + 3a² - 5x + 5a - (3x² - 5x)

g(x + a) - g(x) = 3x² + 6ax + 3a² - 5x + 5a - 3x² + 5x

Collect the like terms

g(x + a) - g(x) = 3x² - 3x² - 5x + 5x + 6ax + 3a² + + 5a

g(x + a) - g(x) = 6ax + 3a² + 5a

g(x + a) - g(x) = 3a² + 6ax + 5a

Hence the required result for the function g(x + a) - g(x) is 3a² + 6ax + 5a

Answer: (x+1)(x+4) is the solution

Step-by-step explanation:

Use the sum-product pattern

Common factor from the two pairs

Rewrite in factored form

Answer:

(x+1)(x+4)

Step-by-step explanation:

x²+5x+4

x²+4x+x+4

x(x+4)+1(x+4)

(x+1)(x+4)

The simplification of the given expression is 0.3404

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form. Simplification usually involves making the expression simple and easy to use later.

WE have given the expression as;

[tex]\frac{(438)^{3} \sqrt{0.056} }{(388)^{4} }[/tex]

Now solving;

[tex]\dfrac{(438)^{3} \sqrt{0.056} }{(388)^{4} }\\\\\\\dfrac{84027784 \times 0.23}{58411072 }\\[/tex]

= 0.3404

Therefore, the simplification of the given expression is 0.3404

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To find JL

We will first find the value of x

JK = KL

2(x+6) = 3x + 8

2x + 12 = 3x+ 8

subtract 2x from both-side of the equation

12 = 3x-2x + 8

12 = x+ 8

subtract 8 from both-side of the equation

12 - 8 = x+ 8 - 8

4 = x

x=4

JK = 2(x+ 6)

substitute x = 4 into the above

JK = 2(4+6)

JK=2(10)

JK=20

KL =3x+8

substitute x=4 into the above

KL = 3(4) + 8

KL = 12 + 8

KL=20

JL = JK + KL

= 20 + 20

= 40

JL = 40 units

Answer:

0.1 units

Step-by-step explanation:

The volume formula of a cube is V = s^3
0.001 = s^3

s = 0.1

The intersection point is (4,5) because that's the point where the two lines meet

I will write out the procedure to draw the isosceles triangle;

- Using the straight edge, measure the length of the base and draw a straight line congruent to the base length.

- Measure the length of the legs.

- Using the compass, set the compass to the same length as the length of the legs.

- From each edge of the base line drawn, Use the compass (already set to the length of the legs) to draw an arc each at the top of the base line;

- Then join each edge of the base line to the point at which the two arcs meet.

- Then you'll have an isosceles triangle, with base and legs as shown above.

Answer + Explanation:

Since you just flip the fraction if you have a negative power, you get

1.) 6 to the power of -1 = 1/6

2.) 6 to the power of -2 = 1/36

3.) 6 to the power of -3 = 1/216

4.) 6 to the power of -4 = 1/1296

Answer:

The answer you are looking for would be 11 7/2.

Step-by-step explanation:

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The total cost of all the items mentioned can be expressed as

12.99 + 1.19 P = C

Given : Sara needs to purchase one notebook

Also it is given that pack of pencils is represented by P

Since a notebook costs = $ 12.99

And pack of pencils cost = $ 1.19

Thus the total cost can simply be represented by adding all the above mentioned items

this means it can be written as

12.99 + 1.19 P = C where C represents the total cost { given }

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Given the quadratic equation below

Note: y is function defined by v ( independent variable)

To plot the graph of the function above, we will take a range of values for v, i.e

Given the range of values above, find the corresponding y-values . This can be done by substituting for v in the quadratic equation above

The table of values is shown below

Hence, the graph of the solution is shown below

Answer:

The tank is currently 40% (40 percent) full.

Step-by-step explanation:

We can find this by dividing the current fullness (648 gal) by the full tank (1620 gal).

648 / 1620 = 0.4

0.4 = 40%

How do we know to divide 648 by 1620 and not the other way around?

We know this because that we want to know what percent of the full tank is currently full. It's something that you just need to get used to, once you do enough of these types of problems, I'm sure you'll get the hang of it!

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From the given figure

The prism formed from 5 cubes long, 2 cubes wide, and 2 cubes height, then

Its length = 5 cubes

Its width = 2 cubes

Its height = 2 cubes

Since the side of each cube = 1/2 cm, then

Its length = 5 x 1/2 = 5/2 cm

Its width = 2 x 1/2 = 1 cm

Its height = 2 x 1/2 = 1 cm

The volume of the prism = length x width x height, then

The volume of the prism is 5/2 cubic cm

The answer is A

The amount of caffeine in her body on the 1st day is, 2.4 mg

The amount of caffeine in her body on the 2nd day is, 4.8 mg

The amount of caffeine in her body on the 3rd day is, 7.2 mg

Given, Jada drinks a cup of tea every morning at 8:00 am. for 14 days. There is 40 mg of caffeine in each cup of tea she drinks. 24 hours after she drinks the tea, only 6% of the caffeine is still in her body.

So, the amount of caffeine in her body on the 1st day is,

40×6/100

24/10

= 2.4 mg caffeine

The amount of caffeine in her body on the 2nd day is,

= 2× 2.4

= 4.8 mg caffeine

The amount of caffeine in her body on the 3rd day is,

= 3× 2.4

= 7.2 mg caffeine

Hence, The amount of caffeine in her body on the 1st day is, 2.4 mg

The amount of caffeine in her body on the 2nd day is, 4.8 mg

The amount of caffeine in her body on the 3rd day is, 7.2 mg

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The cost of the juice in dollars per fluid ounce s $0.13..

The first step is to convert quart to ounces.

1 quart = 32 ounces

The quantity of juice bought in fluid ounces : quantity in quart x unit of conversion=  32 x 2 = 64 fluid ounces

The next step is to divide the cost of the bottle of juice by the converted capacity of the juice bottle. Division is the mathematical process of grouping a number into equal parts using another number.

The cost of the juice in dollars per fluid ounce = cost of the bottle / capacity of the bottle in fluid ounces

= $8.32 / 64 = $0.13

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SOLUTION:

In this problem.

Let number of dimes = x, then number of quarters = 2x - 7.

The monetary values of quarters and dimes are;

Thus, 2( 13) - 7 = 19.

Therefore, there are 13 dimes and 19 quarters.

The present age of the Bernard is, 23.

What is age?

Given a date of birth, this free age calculator calculates age in terms of years, months, weeks, days, hours, minutes, and seconds.

Calculated using the population's arithmetic mean, average age. The median age is a factor that determines the population's average age.

As given, in 7 years Bernard will be twice as old as he was 8 years ago.

Let  the present age of Bernard = x

Bernard age after 7 years = x + 7.

Bernard age before 8 years = x - 8.

From the given information,

2(x - 8) = x + 7

2x - 16 = x + 7

2x - x = 16 + 7

x = 23

Therefore, the present age of Bernard is 23.

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ANSWER:

Loan A requires Bryce to pay less by $1,133.52

EXPLANATION:

For bank A, we're given;

Length of loan in years(t) = 6 years

Annual interest rate(r) = 8% = 8/100 = 0.08

Loan payment(PMT) = $497.94

Number of compounds per year(n) = 12

We can go ahead and determine the loan amount using the below formula as seen below;

So we can see that Bryce will pay back;

For bank B, we're given;

Length of loan in years(t) = 10 years

Annual interest rate(r) = 5.5% = 5.5/100 = 0.055

Loan payment(PMT) = $308.21

Number of compounds per year(n) = 12

We can go ahead and determine the loan amount using the below formula as seen below;

So we can see that Bryce will pay back;

We can see that Bryce will pay back $35,851.68 for Loan A and $36,985.20 for Loan B, so Loan A requires Bryce to pay less and by $1,133.52

The conditional probability is represented in option A : the probability that the student is left-handed, given that the student is a boy.

The total number of students in the class is 30. The number of boys in the class is 16. The number of boys who are left-handed is 3. The number of left-handed girls is 2. One student is chosen randomly. We need to find a situation that represents a conditional probability. The conditional probability occurs when the probability of one event depends on the occurrence of another event. So, the situation suitable for this to happen is to find the probability that the student is left-handed, given that the student is a boy.

The complete question is :

In a class of 30 students, 3 of the 16 boys are left-handed, and 2 of the 14 girls are left-handed. One student is chosen at random. Which of the following represents a conditional probability?

A. The probability that the student is left-handed, given that the student is a boy

B. The probability that the student is a girl and left-handed

C. The probability that the student is right-handed

D. The probability that the student is not a boy

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Answer: The symbol used by mathematicians to represent the ratio of a circle's

Step-by-step explanation: circumference to its diameter is the lowercase Greek letter π, sometimes spelled out as pi. In English, π is pronounced as "pie"

EXPLANATION

Let's see the facts:

Call for---> 3.5 lbs of stew meat

Refrigerator -------> 1.25 lbs stew meat

He would buy:

Required - Available ----> 3.5 - 1.25 = 2.25 lbs of stew meat

The operation that we apply is subtraction because 3.5lbs (required) is greater than 1.25lbs (available).

$866.25

1) Gathering the data

$1575

she spent 30%

she spent 3/14

2) Let's calculate it, starting with the 30% expense. Writing a factor, we have already the value:

1575 x ( 1 -0.3)

1575 x (0.7)

1102.50

Now let's proceed with the deduction of 3/14, which can be calculated through that:

1102.5 -3/14x (1102.5)

$866.25

3) Hence, Taylor's balance was after those payments of $866.25

Answer:

1.6, 1.62, 1 5/8, 7/4

Step-by-step explanation:

First, let's turn the fractions into decimals:

For 7/4 you simply divide 7 by 4. Which equals 1.75.

Next for 1 5/8 we divide 5 by 8, which equals 0.625. + the 1 in 1 5/8. So we have 1.625.

Now, we arrange the decimals:

1.6, 1.62, 1.625, 1.75

But this is NOT the answer. We have to replace the decimals that WERE fractions back to the original, then order them from there:

1.6, 1.62, 1 5/8, 7/4.

This IS the answer.

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Answer:

the answer to this question is in the screenshot. pls mark this answer as the brainliest

Step-by-step explanation:

Given:

There are given the equation:

Explanation:

According to the question:

We need to find the value where the given equation is satisfied.

So,

From the equation:

Put the 0 for x for the option first.

Then,

For the second option:

For option third:

Final answer:

Hence, the correct option C.

The random variable x has a normal distribution with standard deviation. It is known that the probability that x exceeds is. 90. Therefore, mean  of the probability distribution is 133.09.

We are given that the random variable x has a normal distribution with standard deviation 21,i.e;

X ~ N( u, σ=21)

The Z probability is given by;

             Z = X- u/σ ~ (0,1)

Also, it is known that the probability that x exceeds 160 is 0.90 ,i.e;

P(X > 160) = 0.90

P( X-u/σ > 160-u /21  ) = 0.90

From the z% table we find that at value of x = -1.2816, the value of

P(X > 160) is 90%

which means;   160-u /21   = -1.2816

                          160 -  = 21*(-1.2816)

                             = 160 - 26.914 = 133.09

Therefore, mean  of the probability distribution is 133.09.

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Question: What is the equation of the line in standard form?

The standard form for a line is :

y = mx + b

where m is the slope and b is the intercept with y axis.

First, we are going to find the slope, choosing any two points on the line. For example (X1, Y1) = (-4,0) and (X2, Y2) = (0,3). Then, by definition the slope is:

so, our new line equation would be:

that is:

Now, we are going to find the y-intercept. This is also accomplished by picking two points on the line and solving for b. For example (X2, Y2) = (0,3). So, for above equation we have:

then

Then, we have b = 3.

Now, replacing the values of the slope and the intercept previously found, we obtain the equation of the line :

that is

Answer:

=1 and 3 over 41

=1.75

Step-by-step explanation:

The ordered pair that can be plotted together with these four points is

(0, 3).

Option C is the correct answer.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The following coordinates are from the graph.

(3, -1), (2, 3), ), (-4, 2), and (-2, -3)

We know that,

A function can have many-to-one but not one-to-many.

So,

We can not have (-2, 0), (-2, 3). and (3, 0) because we already have (-2, 3) and (3, -1).

This is an indication of a one-to-many function that is not possible.

(0, 3) is possible.

Thus,

The ordered pair that can be plotted together with these four points is

(0, 3).

Option C is the correct answer.

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we have that

50%=50/100=0.50

Multiply the total tickets sold by the factor of 0.50

so

94*0.50=47 tickets

The maximum number of boxes that will fit inside the trailer according to the available volume is 540.

A semi-trailer is being packed with boxes. The side length of each box is 1.5 feet. The cargo space of the trailer is 28 feet in length, 8.5 feet wide and 9.167 feet high. Let the number of boxes that can fit according to the length, width, and height of the trailer be x, y, and z. The values of x, y, and z are the greatest whole numbers less than or equal to the ratio of the length, width, and height of the trailer to the length, width, and height of the box, respectively. The first inequality is x ≤ 28/1.5 ≤ 18.67, so the value of x is 18. The second inequality is y ≤ 8.5/1.5 ≤ 5.67, so the value of y is 5. The third inequality is z ≤ 9.167/1.5 ≤ 6.11, so the value of z is 6. The total number of boxes is the product of the three variables.

P = x*y*z = 18*5*6 = 540

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