Miss lawrence buys 8 ounces of smocked salmon at $17. 98 per pound how much money does miss lawrence spend on the smoked salmon

The height of water left in the can  is determined as 9.9 cm.

option B.

The height of water left in the can is calculated by the difference between the volume of a cylinder and volume of a cone.

The volume of the cylindrical can is calculated as;

V = πr²h

where;

V = π(4.6 cm)²(13.5 cm)

V = 897.43 cm³

The  volume of the cone is calculated as;

V = ¹/₃ πr²h

V = ¹/₃ π(5.1 cm)²( 8.7 cm )

V = 236.97 cm³

Difference in volume =  897.43 cm³ - 236.97 cm³

ΔV = 660.46 cm³

The height of water left in the can  is calculated as follows;

ΔV = πr²h

h = ΔV /  πr²

h = ( 660.46 ) / (π x 4.6²)

h = 9.9 cm

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Answer:

150.796 in³ of water

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

Radius r = 3 in

Height h = 8 in

Step 2: Find Volume V

Step 3: Find Water

2/3 of vase should be filled with H₂O.

Answer:

We know the formula for the volume of a cylinder is V=πr^2has given.

That said, we can plug our values in.

V=π3^2(8)

Simplify.

V=π9*8

V=72π

It needs 72π cubic inches of water.

This is also equivalent to around 226.19 cubic inches of water.

Step-by-step explanation:

hope this helps

Answer:

A

Step-by-step explanation:

5/8=0.625

0.42=0.42^2

Answer:

3yz² - 3z² - 5y + 7

Step-by-step explanation:

Sum of two polynomials = –yz² - 3z² – 4y + 4

One of the polynomial = y - 4yz²- 3

Find the other polynomial

The other polynomial = sum of the polynomials - one of the polynomial

= –yz² - 3z² – 4y + 4 - (y - 4yz² - 3)

= –yz² - 3z² – 4y + 4 - y + 4yz² + 3

= -yz² + 4yz² - 3z² - 4y - y + 4 + 3

= 3yz² - 3z² - 5y + 7

A. 0 -2yz?

B. – 4y + 7 01 - 2yz

C. – 3y + 1 0 -5yz² + 3z² – 3y + 1 D. 3yz² - 3z² – 5y + 7

The company's revenue at the break-even point is:

Total Revenue = Price per Table x Number of Tables Sold Total Revenue = 166 x 50 = $8,300

1a. In order to earn revenue of $7,104, the number of tables that the company must sell is 216.

We can find the solution through the following steps:

Let x be the number of tables that the company must sell to earn the revenue of $7,104.

Total Revenue = Total Cost + Total Profit64x = 49x + 2700 + 710464x - 49x = 9814x = 216

1b. In order to earn a profit of $6,000, the number of tables that the company must produce and sell is 60.

We can find the solution through the following steps:

Let x be the number of tables that the company must produce and sell to earn a profit of $6,000.

Total Profit = Total Revenue - Total Cost6,000 = (182x - 32x) - 1500(182 - 32)x = 7,500x = 60

The company must produce and sell 60 tables to earn a profit of $6,000.

1c. To find the company's revenue at the break-even point, we need to first find the number of tables at the break-even point using the formula:

Total Revenue = Total Cost64x = 34x + 150064x - 34x = 150030x = 1500x = 50 tables

The company's revenue at the break-even point is:

Total Revenue = Price per Table x Number of Tables Sold Total Revenue = 166 x 50 = $8,300

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Answer:

For x = height:

x(x + 20) = 576.

Step-by-step explanation:

The area is 576 cm^

Area = width * height

Let the height be x,  then the width is (x + 20) cm

So the expression for the area can be written

x(x + 20) = 576.

Answer:

x²   +  20x  -  576  =  0

Step-by-step explanation:

If x is height:

 width = (20 + x)

         area = width  x  height

         576  =  (20 + x)     x      x

         576  =  20x   + x²

      ∴ x²   +  20x  -  576  =  0

In a simple linear regression model , if we change the input variable by 1 unit , output variable will change by its slope.

What is linear regression?

According on the value of another variable, a variable's value can be predicted using a linear regression analysis. The dependent variable is the one you're trying to forecast. The term "independent variable" refers to the variable you are using to forecast the value of the other variable.

Main Body:

For linear regression

Y=a + bx + error

If we neglect error

then Y=a + bx.

If x increases by 1

then Y = a +b(x+1) which implies

Y=a + bx + b.

So Y increases by its slope.

Hence their is an increase in the slope in y.

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x ∈ X⊥ ∩ Y⊥ implies x ∈ (X + Y)+.

Combining both directions, we can conclude that (X + Y)+ = X⊥ ∩ Y⊥.

To prove that (X + Y)+ = X⊥ ∩ Y⊥, we need to show that an element x belongs to (X + Y)+ if and only if it belongs to X⊥ ∩ Y⊥.

First, let's prove the forward direction: if x belongs to (X + Y)+, then x also belongs to X⊥ ∩ Y⊥.

Assume x ∈ (X + Y)+. This means that x can be written as x = u + v, where u ∈ X and v ∈ Y. We want to show that x ∈ X⊥ ∩ Y⊥.

To show that x ∈ X⊥, we need to show that for any u' ∈ X, the inner product 〈u', x〉 is equal to zero. Since u ∈ X, we have 〈u', u〉 = 0, because u' and u belong to the same subspace X. Similarly, for any v' ∈ Y, we have 〈v', v〉 = 0, because v ∈ Y. Therefore, we have:

〈u', x〉 = 〈u', u + v〉 = 〈u', u〉 + 〈u', v〉 = 0 + 0 = 0,

which shows that x ∈ X⊥.

Similarly, we can show that x ∈ Y⊥. For any v' ∈ Y, we have 〈v', x〉 = 〈v', u + v〉 = 〈v', u〉 + 〈v', v〉 = 0 + 0 = 0.

Therefore, x ∈ X⊥ ∩ Y⊥, which proves the forward direction.

Next, let's prove the reverse direction: if x belongs to X⊥ ∩ Y⊥, then x also belongs to (X + Y)+.

Assume x ∈ X⊥ ∩ Y⊥. We want to show that x ∈ (X + Y)+.

Since x ∈ X⊥, for any u ∈ X, we have 〈u, x〉 = 0. Similarly, since x ∈ Y⊥, for any v ∈ Y, we have 〈v, x〉 = 0.

Now, consider any element z = u + v, where u ∈ X and v ∈ Y. We want to show that z ∈ (X + Y)+.

We have:

〈z, x〉 = 〈u + v, x〉 = 〈u, x〉 + 〈v, x〉 = 0 + 0 = 0.

Since the inner product of z and x is zero, we conclude that z ∈ (X + Y)+.

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The answer is a) The probability is 0.32 ; b)The probability is 0.68 ; and c) Office or den.

a) The probability that a PC is in a bedroom is the sum of the probabilities of a PC being is an adult bedroom, child bedroom or other bedroom:

\(P_{bedroom} = P_{adult} +P_{child}+P_{other}\)

\(P_{bedroom}\) = 0.03 + 0.15 + 0.14

\(P_{bedroom}\) = 0.32.

b) The probability that a PC is not in a bedroom is 100% minus the probability of it being in a bedroom:

\(P_{ notbedroom}\) = 1 - \(P_{bedroom}\)

\(P_{ notbedroom}\) = 1 - 0.32

\(P_{ notbedroom}\) = 0.68.

c) The expected room to find a PC from a randomly selected household is the room with highest likelihood of having a PC according to Consumer Digest. The Office or den, is the most probable room with a 0.40 chance. You would expect to find a PC in the Office or den.

Full question:

According to Consumer Digest (July/August 1996), the probable location of personal computers (PC) in the home is as follows: Adult bedroom: 0.03 Child bedroom: 0.15 Other bedroom: 0.14 Office or den: 0.40 Other rooms: 0.28 (a) What is the probability that a PC is in a bedroom? (b) What is the probability that it is not in a bedroom? (c) Suppose a household is selected at random from households with a PC; in what room would you expect to find a PC?

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If a function is given that h(t) = 2t^2 - t; t = 4, t = 8, then the net change between the given values of the variable is 92 and the average rate of change between the given values of the variable is 23.

Explanation:

Given that: Based on the provided function h(t) = 2t^2 - t and the given values of t = 4 and t = 8.

To determine the net change and average rate of change, follow these steps:

(a) The difference between the two h(x) values is the net change.

To find the net change, we need to evaluate the function at both values of t and then subtract the results:

Net change = h(8) - h(4)
Net change = (2(8)^2 - 8) - (2(4)^2 - 4)
Net change = (128 - 8) - (32 - 4)
Net change = 120 - 28
Net change = 92

(b) The ratio between the net change and the change between the two input values is used to calculate average net change or average rate of change. The average rate of change can be calculated using the same two points and the formula: f(b)-f(a) / b-a .

To determine the average rate of change, we need to divide the net change by the difference in the t values:

Average rate of change = Net change / (t2 - t1)
Average rate of change = 92 / (8 - 4)
Average rate of change = 92 / 4
Average rate of change = 23

So, the net change is 92 and the average rate of change is 23 between the given values of the variable.

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Answer:

135

Step-by-step explanation:

m(abc)= m(abd) +m(dbc) = 65+60 =135

Answer:

We factor the number 16 into prime numbers to get their factors.

We do the same with any given number. Only if it has the same factor as 16 that numberwill be divisible by 16

Both numbers proposed (144&256) are divisible by 16

Step-by-step explanation:

To prove it we need to factor the number 16 to get their expression in prime numbers:

16     2

 8    2

 4    2

 2    2

 1

16 is equal to \(2^{4}\)

We have to factor a number and if their factor include \(2^{4}\) or a higher power

then, they are divisible by 16

144        2

 72       2

 36       2

 18        2

   9       3

   3       3

   1

144 is queal to:  \(2^4 . 3^2\) as it does have \(2^4\) It is divisible by 16

256         2

128          2

  64        2

  32        2

   16        2

    8        2

    4        2

    2        2

    1

256 is equal to \(2^8\) This contains \(2^4\) as \(2^8 = 2^4 . 2^4\)

therefore it is divisible by 16

if Mike draws a card randomly, he has a 40% chance of getting a grade of "A".

The probability of an event is a numerical measure of the likelihood that the event will occur. It is expressed as a fraction or decimal between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. In this case, the event is Mike getting a grade of "A" on the oral exam, and the probability of this event is calculated as the number of favorable outcomes (cards with answers known by Mike) divided by the total number of possible outcomes (all 20 cards).

So, if Mike draws a card randomly from the set of 20 cards, he has a chance of 8/20 = 2/5 = 0.4 or 40% of answering all 3 questions correctly and getting a grade of "A". This means that if the experiment of drawing a card and answering the questions is repeated many times, Mike is expected to get a grade of "A" in 40% of those instances. The probability of Mike getting a grade of "A" is equal to the number of favorable outcomes (cards with answers known by Mike) divided by the total number of possible outcomes (all 20 cards).

Since Mike knows the answers to all 3 questions on 8 cards, the probability of him getting a grade of "A" is:

P(A) = 8/20 = 2/5 = 0.4 or 40%

So, if Mike draws a card randomly, he has a 40% chance of getting a grade of "A".

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Answer:

(a) \(x\³ - 6x - 6\)

(b) Proved

Step-by-step explanation:

Given

\(r = $\sqrt[3]{2} + \sqrt[3]{4}$\) --- the root

Solving (a): The polynomial

A cubic function is represented as:

\(f = (a + b)^3\)

Expand

\(f = a^3 + 3a^2b + 3ab^2 + b^3\)

Rewrite as:

\(f = a^3 + 3ab(a + b) + b^3\)

The root is represented as:

\(r=a+b\)

By comparison:

\(a = $\sqrt[3]{2}\)

\(b = \sqrt[3]{4}$\)

So, we have:

\(f = ($\sqrt[3]{2})^3 + 3*$\sqrt[3]{2}*\sqrt[3]{4}$*($\sqrt[3]{2} + \sqrt[3]{4}$) + (\sqrt[3]{4}$)^3\)

Expand

\(f = 2 + 3*$\sqrt[3]{2*4}*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4\)

\(f = 2 + 3*$\sqrt[3]{8}*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4\)

\(f = 2 + 3*2*($\sqrt[3]{2} + \sqrt[3]{4}$) + 4\)

\(f = 2 + 6($\sqrt[3]{2} + \sqrt[3]{4}$) + 4\)

Evaluate like terms

\(f = 6 + 6($\sqrt[3]{2} + \sqrt[3]{4}$)\)

Recall that: \(r = $\sqrt[3]{2} + \sqrt[3]{4}$\)

So, we have:

\(f = 6 + 6r\)

Equate to 0

\(f - 6 - 6r = 0\)

Rewrite as:

\(f - 6r - 6 = 0\)

Express as a cubic function

\(x^3 - 6x - 6 = 0\)

Hence, the cubic polynomial is:

\(f(x) = x^3 - 6x - 6\)

Solving (b): Prove that r is irrational

The constant term of \(x^3 - 6x - 6 = 0\) is -6

The divisors of -6 are: -6,-3,-2,-1,1,2,3,6

Calculate f(x) for each of the above values to calculate the remainder when f(x) is divided by any of the above values

\(f(-6) = (-6)^3 - 6*-6 - 6 = -186\)

\(f(-3) = (-3)^3 - 6*-3 - 6 = -15\)

\(f(-2) = (-2)^3 - 6*-2 - 6 = -2\)

\(f(-1) = (-1)^3 - 6*-1 - 6 = -1\)

\(f(1) = (1)^3 - 6*1 - 6 = -11\)

\(f(2) = (2)^3 - 6*2 - 6 = -10\)

\(f(3) = (3)^3 - 6*3 - 6 = 3\)

\(f(6) = (6)^3 - 6*6 - 6 = 174\)

For r to be rational;

The divisors of -6 must divide f(x) without remainder

i.e. Any of the above values  must equal 0

Since none equals 0, then r is irrational

Answer:David

Step-by-step explanation:

David saves 2:8 = 1;4 is 25%

Laura saves 3/20= 15%

Anna saves 19%

The diameter of the circle is AB and option b is the correct answer.

The diameter of a circle is the distance along which the circumference begins at one end and terminates at the other. Its length is double that of the circle's radius. In other words, the line that splits a circle into two equal pieces and runs through its centre is the diameter of the circle. Every straight line segment that traverses a circle's centre and has its endpoints on its circumference is said to have a diameter of that circle. The diameter is also referred to as the circle's longest chord.

We know that, the diameter of the circle is the longest segment that passes through the center of the circle.

From the given figure we observe that, the segment AB passes through the center and connects with the circle on either side.

Hence, the diameter of the circle is AB and option b is the correct answer.

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Answer:

AB

Step-by-step explanation:

Answer:

The land that is covered with an irrigation arm of 370 ft is  \(430,084\ ft^2\)

Step-by-step explanation:

Area of the circle

Being r the radius of a circle, its area can be calculated as follows:

\(A=\pi\cdot r^2\)

The irrigation arm acts as the radius of the irrigation circle, thus r=370 ft. The land covered is the area under the irrigation arm, thus:

\(A=\pi\cdot 370^2\)

\(A=430,084\ ft^2\)

The land that is covered with an irrigation arm of 370 ft is  \(430,084\ ft^2\)

First, isolate the y term on one side of the equation.

-For the first equation: 4x + y = 4

Subtract 4x from both sides of the equation to isolate the y term:

4x + y - 4x = 4 - 4x

y = 4 - 4x

-For the second equation: -6x - 30 + y = -6

Add 6x to both sides of the equation to isolate the y term:

-6x - 30 + y + 6x = -6 + 6x

y = -6 + 6x

Now, set the equations equal to each other to solve for x:

4 - 4x = -6 + 6x

Combine like terms to isolate the x term:

-10x = -10

Divide both sides by -10 to solve for x:

x = 1

Now plug x back into either equation to solve for y:

4 - 4(1) = 4 - 4

y = 0

The paper clip costs $0.05 and the folder Costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

Let's solve this problem step by step:

Let's assume the cost of the paper clip is x dollars.

According to the information given, the folder costs $1.00 more than the paper clip, so the cost of the folder would be (x + $1.00).

The total cost of the folder and the paper clip is $1.10, so we can write the equation:

x + (x + $1.00) = $1.10

Combining like terms, we have:

2x + $1.00 = $1.10

Subtracting $1.00 from both sides of the equation, we get:

2x = $0.10

Dividing both sides by 2, we find the value of x:

x = $0.10 / 2

x = $0.05

Therefore, the paper clip costs $0.05.

In summary, the paper clip costs $0.05 and the folder costs $1.00 more, which is $1.05. Together, they add up to the total of $1.10.

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The probability that first card is a two and the second card is a ten is 0.006.

Probability is an area of mathematics that deals with the occurrence of a random event. There are four varieties of probability: classical, empirical, subjective, and axiomatic.

Probability is equivalent with possibility, therefore you might say it's the likelihood that a specific occurrence will occur.

Now, according to the question;

Let n(2) be the number of cards marked 2 ( = 4 cards).

Let n(10) be the number of cards marked 10 ( = 4 cards).

The total number of card in a pack is; n = 52.

Each card is chosen without replacement.

So the likelihood of the first being 2 and the second being 10 is:

\(\operato{Pr}=\frac{n(2)}{n} \times \frac{n(10)}{n-1}\)

Substitute the values;

\(P r=\frac{4}{52} \times \frac{4}{52-1}\)

Simplifying the equation;

\(P r=\frac{16}{2652}\)

\(P r=0.006\)

Therefore, the probability that first card is a two and the second card is a ten is 0.006.

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Answer: now i hav to walk my fish

1 -20

2. 200

3. -6

4. 5

5. -60

6. 45

Step-by-step explanation:

How to walk fish um u see go scuba diving in mariana trench then u find fish (hint) avoid kraken and megaladon or tell them corpse jr sent u. the put leash on fish boom u walked him (another hint) bring extra oxygen tanks u will run out then u die, to leave the kraken throws u out of water and to ur home.

- me

toodles

The probability of either die rolling the value 3 or both dice rolling even values is 5/9.

The probability of rolling a 3 on a single die is 1/6, so the probability of either die rolling a 3 is 2/6 or 1/3 (since there are two dice).

The probability of rolling an even number on a single die is 1/2 (since there are three even numbers and three odd numbers on a 6-sided die). The probability of rolling even values on both dice is the product of the probability of each die rolling an even value, which is (1/2) x (1/2) = 1/4.

To find the probability of either die rolling a 3 or both dice rolling even values, we need to subtract the probability of rolling both a 3 and an even value (since we would be double-counting this case). The only way to roll both a 3 and an even value is to roll two 6's, so the probability of this happening is 1/36.

Therefore, the probability of either die rolling 3 or both dice rolling even values is:

P(either die rolling 3 or both dice rolling even) = P(die 1 = 3 or die 2 = 3 or both dice even) - P(both dice = 6)

= (1/3 + 1/3) + (1/4 - 1/36)

= 5/9

Hence, the probability is 5/9.

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Answer:

(4,2)

Step-by-step explanation:  count down form 4 then -1

Answer:

25%

Step-by-step explanation:

Gerald has a $30 increase in his bill. 1/4, or 25% of 120 is 30.

To calculate the volume (V) of a cylinder with a height and diameter equal to 2.000 cm, we can use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius and h is the height.

Since the height and diameter are equal, the radius (r) is equal to half the height or diameter. Therefore, r = h/2 = d/2 = 2.000 cm / 2 = 1.000 cm.

Substituting the values into the volume formula:

V = π(1.000 cm)^2(2.000 cm) = π(1.000 cm)^2(2.000 cm) = π(1.000 cm)^3 = π cm^3.

So, the actual volume of the cylinder is V = π cm^3.

Now, let's consider the two other cases mentioned:

When the diameter (d) is measured 10% too large:

In this case, the new diameter (d') would be 1.10 times the actual diameter. So, d' = 1.10(2.000 cm) = 2.200 cm.

Recalculating the volume with the new diameter:

V' = π(1.100 cm)^2(2.000 cm) = 1.210π cm^3.

When the height (h) is measured 10% too large:

In this case, the new height (h') would be 1.10 times the actual height. So, h' = 1.10(2.000 cm) = 2.200 cm.

Recalculating the volume with the new height:

V'' = π(1.000 cm)^2(2.200 cm) = 2.200π cm^3.

To analyze which dimension has the largest effect on the accuracy in the volume V, we compare the relative differences in the volumes.

For the first case (d measured 10% too large), the relative difference is |V - V'|/V = |π - 1.210π|/π = 0.210π/π ≈ 0.210.

For the second case (h measured 10% too large), the relative difference is |V - V''|/V = |π - 2.200π|/π = 1.200π/π ≈ 1.200.

Comparing the relative differences, we can see that the error in measuring the height (h) has the largest effect on the accuracy in the volume V. This is because the volume of a cylinder is directly proportional to the height (h) but depends on the square of the radius (r) or diameter (d).

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5

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.

Total books borrowed = 8+4 = 12

No. of non - fiction books = 7

No. of fiction books = 12 -7

                                    = 5

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Complex numbers are represented on a cartesian coordinate system with a horizontal real axis and a vertical imaginary axis.

Any number that can be expressed as a+bi, where i is the imaginary unit and a and b are the real numbers, is a complex number. The number is made up of two parts: real part (a) and imaginary part (b).

Just like we can use the number line to visualize a set of real numbers, we can use the complex plane to visualize a set of complex numbers. The complex plane consists of two number lines intersecting at a right angle at the point (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis.

The horizontal number line (what we know as the xxx-axis on a Cartesian plane) is the real axis. The imaginary axis is the vertical number line (the yyy-axis on a Cartesian plane).A point in the complex plane can represent every complex number.

For example, consider the number 3-5i3−5i3, minus 5, i. This number, also expressed as 3+(-5)i, has a real part of 3 and imaginary part of -5. The location of this number on the complex plane is the point that corresponds to 3 on the real axis and -5 on the imaginary axis.

So the number 3+(-5) corresponds with the point (3,-5). In the general complex number, a+bi corresponds to the complex plane's point(a,b).

Hence, complex numbers are represented on a cartesian coordinate system with a real horizontal axis and an imaginary vertical axis.

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The required, there are 8998912 possible license plates that can be generated using this format.

Here, we have,

There are 8 digits that can be used for each of the three digits on the license plate, with two digits (4 and 5) that cannot be used.

Therefore, there are 8 choices for each of the three digits,

giving us 8 x 8 x 8 = 512 possible combinations for the digits.

Similarly, there are 26 letters that can be used for each of the three letters on the license plate.

Therefore, there are 26 choices for each of the three letters, giving us 26 x 26 x 26 = 17576 possible combinations for the letters.

Total number of license plates = number of choices for the digits x number of choices for the letters

= 512 x 17576

= 8998912

Therefore, there are 8998912 possible license plates that can be generated using this format.

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Answer:

An expression is said to a perfect square trinomial if it takes the form ax2 + bx + c and satisfies the condition b2 = 4ac. The perfect square formula takes the following forms: (ax)2 + 2abx + b2 = (ax + b)

Step-by-step explanation:

Factor x2+ 6x + 9

Solution

We can rewrite the expression x2 + 6x + 9 in the form a2 + 2ab + b2 as;

x2+ 6x + 9 ⟹ (x)2 + 2 (x) (3) + (3)2

Applying the formula of a2 + 2ab + b2 = (a + b)2 to the expression gives;

= (x + 3)2

= (x + 3) (x + 3)

Answer:

0.3575

Step-by-step explanation:

A population with a normal distribution has a mean of 104 and a standard deviation of 15. A sample of 30 items is taken from that population. (a) (4 points) What is the probability of the sample mean is not less than 103?

The probability of the sample mean is not less than 103 means the sample mean is equal to 103

We solve using the z score formula

z = (x-μ)/σ/√n

where

x is the raw score = 103

μ is the population mean = 104

σ is the population standard deviation = 15

n is the random number of sample = 30

z = 103 - 104/15/√30

z = -1/2.7386127875

z = -0.36515

Probability value from Z-Table:

P(x≤ 103) = 0.3575

Therefore, the probability of the sample mean is not less than 103 is 0.3575