work and solution. Identify the error and descr
problem correctly.
Incorrect Work/Solution
m = the number of messages Nigel sent
644 = 7m
-7 -7
637 =m
Nigel sent an average of 637 messages
each day last week.
Correct Work/Solution

Given that there are 26 red cards in the deck of 52 cards, the probability of obtaining a red card on any given draw is 26/52 = 1/2.

The probability of the complimentary event—the probability that no red cards are drawn in the first three draws—can be used to determine the likelihood that a red card will be pulled at least once by the third draw.

Particular that there are 26 non-red (black) cards in the 52-card deck, there is a 50% chance that no red cards will be drawn on any given draw.

As a result, the likelihood that none of the three draws will result in a red card is:

(1/2) x (1/2) x (1/2) = 1/8

The likelihood of drawing a red card at least once by the third draw is the counterpart of this probability.

1 - 1/8 = 7/8

Therefore, by the third draw, there is a 7/8 chance of drawing a red card at least once, or 0.88 rounded to two decimal places.

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The domain and the range of a function/graph/relation are defined as follows:

The problem is incomplete, hence the concepts of domain and range are presented, and then they are used to obtain the domain and the range.

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Answer: the first box is does not the 2st box does  i hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-2, 3) (2, -1)

(-1 - 3)/(2 + 2)= -4/4 = -1

m = -1

does

does not

y - 3 = -1(x + 2)

y - 3 = -x - 2

y = -x + 1

Option 1

The doubling time for the investment as required to be determined is; 15.58 years.

It follows from the task content that the model function is;

A(T)=650 (1.0455) ^T

For doubling time;

2 = (1.0455)^T

ln (2) = T ln (1.0455)

T = ln 2 / ln (1.0455)

T = 15.58 years.

Ultimately, the doubling time of the investment as required is; 15.58 years.

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Answer:

77.4 (nearest tenth)

Step-by-step explanation:

76 is 100% of the original number.

To increase a number by 1.8% it will be 100% + 1.8% = 101.8% of the original number.

[tex]\begin{aligned}\implies \sf 101.8\%\; of\; 76&=\sf \dfrac{101.8}{100} \times 76\\\\&=\sf \dfrac{101.8 \times 76}{100}\\\\&=\sf \dfrac{7736.8}{100}\\\\&=\sf 77.368\\\\&=\sf 77.4\; (nearest\;tenth)\end{aligned}[/tex]

Therefore, the result when the number 76 is increased by 1.8% is 77.4 to the nearest tenth.

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

The start point the graph of a function of this form is (h, k)

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

f(x) = a√(x - h) + k

The domain is given as

x ≥ h

This means that the initial x value is h

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

f(h) = a√(h - h) + k

Evaluate

f(h) = k

Hence, teh initial point is (h, k)

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Answer: 75%

Step-by-step explanation: To calculate,

(0.1 x 100) + (0.3 x 80) + (0.2 x 95) + (0.4 x 75) = 83%

Area of desert 1 is 18,000,000 square miles and area of desert 2 is 3,000,000 square miles.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Let A₁ and A₂ be the area of Desert 1 and Desert 2 respectively.

Given,

Area of a Desert 1 is six times the area of Desert 2.

A₁ = 6 A₂

The sum of their areas is 21,000,000 square miles.

A₁ + A₂ = 21,000,000

Substituting A₁ = 6 A₂ in A₁ + A₂ = 21,000,000 ,

6 A₂ + A₂ = 21,000,000

7 A₂ = 21,000,000

A₂ = 21,000,000 / 7

A₂ = 3,000,000 square miles

A₁ = 6 A₂

   = 6 × 3,000,000

   = 18,000,000 square miles

Hence the areas of each desert is 18,000,000 square miles and 3,000,000 square miles.

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Answer: 36˚

Step-by-step explanation:

180 - 3x = 2x

180 = 5x

.: x = 36˚

The sales tax on the Bluray disc player is $17.60.

What is percentage ?

Percentage can be defined as product of ratio of given value, total value and hundred.

To calculate the sales tax on the Bluray disc player, we need to add the state tax and county tax to the sale price of the player.

First, we can calculate the amount of the state tax. The state tax rate is 4%, which can be expressed as a decimal by dividing by 100:

State tax rate = 4% = 0.04

To find the amount of state tax, we can multiply the sale price by the state tax rate:

State tax = 0.04 x $219.99 = $8.80

Next, we can calculate the amount of the county tax. The county tax rate is also 4%, so we can use the same method as above to find the county tax:

County tax rate = 4% = 0.04

County tax = 0.04 x $219.99 = $8.80

Now, we can find the total sales tax by adding the state tax and county tax:

Total sales tax = State tax + County tax

= $8.80 + $8.80

= $17.60

Therefore, the sales tax on the Bluray disc player is $17.60.

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In the equation, the number 5,000 represents the initial value of the motorcycle. The value of the motorcycle is increasing at a rate of 3% per year.

Exponential functions are functions where the independent variable, x is in the exponent.

The given exponential equation is,

V = 5,000 (1.03)^t

Here V represents the value of the motorcycle in t years.

When t = 0,

V = 5000 (1.03)⁰ = 5000

So 5000 represents the initial value of the motorcycle.

V = 5,000 (1 + 0.03)^t

At t = 0, V = 5000

At t = 1, V = 5000 (1.03)¹ = 5150

At t = 2, V = 5000 (1.03)² = 5304.5

So the value of the motorcycle is increasing.

The rate is 0.03 or 3%.

Hence, 5,000 represents the initial value of the motorcycle and the value of the motorcycle is increasing at a rate of 3% per year.

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Convert the problem to standard form and write the initial tableau with slack variables:

Maximize

[tex]Z = 7*3 + 6*4 + 18*5 + 14*6 - 3*1 - 3*2 - 4*5 - 4*6[/tex]

Subject to:

[tex]x1 + x2 + s1 = 4000\\x3 - (1/3)*1 + (1/3)*5 = 0\\x4 - (1/3)*2 + (1/2)*6 = 0\\x3*1 + 3*2 + 3*3 + 3*4 + 3*5 + 2*6 + s2 = 6000[/tex]

All variables are non-negative.

Tableau

 x1  x2  x3  x4  x5  x6  s1  s2   b

Z -3 -3 7 6 18 14 0 0 0

s1 1 1 0 0 0 0 1 0 4000

s2 3 3 3 3 3 2 0 1 6000

x5 0 0 1 0 1/3 0 0 0 0

x6 0 0 0 1 0 1/2 0 0 0

The basic variables are s1, s2, x5, and x6.

Step 1: Choose  entering variable. The most positive coefficient in objective row is 18, corresponding to x5. x5 enters the basis.

Step 2: Choose the leaving variable. The minimum ratio of right-hand side to coefficient of x5 is 12000/(1/3) = 36000,

corresponding to s1. s1 leaves the basis.

Step 3: Perform, pivot operation to make x5 the basic variable for s1. Divide, pivot row by 1/3 and subtract appropriate multiples of the pivot row from other rows to make other entries in column 5 zero.

 x1    x2    x3    x4     x5     x6   s1    s2       b

Z -3 -3 7 6 18 14 0 0 0

x5 0 0 1 0 1/3 0 0 0 0

s2 3 3 3 3 2 2/3 2/3 0 1/3 24000

x3 1 0 1/3 0 1/3 0 -1/3 0 0

x4 0 1 0 1/3 0 1/2 -1/6 0 0

The basic variables are x5, x3, x4, and s2.

Step 4: Choose the entering variable. The most positive coefficient in the objective row is 7, corresponding to x3. x3 enters the basis.

Step 5: Determine the leaving variable. The right-hand side's minimum ratio to the coefficient of x3 is 0, indicating that x3 can be increased without bound. This implies that the optimal solution is unbounded and that there is no finite optimal value for the problem.

As a result, the simplex algorithm demonstrates that the given linear programming problem lacks a feasible solution. This means that it is not possible to meet all of the constraints at the same time.

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The function g(x) = 8(2)^x is also a shift left by 3 units of f(x) = 2^x, as 8 = 2³, hence 8(2)^x = 2^(x + 3).

A translation happens when either a figure or a function are moved horizontally or vertically.

The four translation rules for functions are given as follows:

The functions for this problem are given as follows:

8 is the third power of 2, hence:

8 = 2³.

When two terms with the same base and different exponents are multiplied, we keep the base and add the exponents, hence:

8(2)^x = 2³ x 2^x = 2^(3 + x) = 2^(x + 3).

As x -> x + 3, a translation left 3 units happened.

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Answer:

$475

Step-by-step explanation:

x = former rent

2x - 200 = 750

2x = 750 + 200 = 950

x = 950/2 = 475

The demand function of the question is expressed as;

D(q) = -²/₅₀₀₀q + 14.6

The formula to find the slope between two coordinates is;

m = (y2 - y1)/(x2 - x1)

The coordinates we are given are;

(28000, 9) and (33000, 7)

Thus;

Slope; m = (7 - 9)/(33000 - 28000)

m = -2/5000

Now, the equation of a line in point slope form is;

y - y1 = m(x - x1)

Where (x1, y1) is (28000, 9)

y - 9 = (-2/5000)(x - 28000)

y - 9 = -²/₅₀₀₀x + 5.6

y = -²/₅₀₀₀x + 14.6

This can be rewritten as a demand function; D(q) = -²/₅₀₀₀q + 14.6

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Number of persons to be interviewed = 599.

Number is a mathematical entity used to represent a computer magnitude it can be symbol or a combination of simple you should in order to take quantity such as the two, five, seven, three or eight number are used to verify the context including counting measuring and computing.

To calculate the required sample size for the survey, the formula for a confidence interval for a proportion can be used:

n = (Z-score)²×p×(1-p)/margin of error²

Where:

Z-score = 1.96 (this is the z-score for the 99% confidence level from the z-distribution table)

p = 0.167 (this is the proportion of the sample that hold two or more jobs, 8/48)

margin of error = 0.03 (this is the margin of error you have specified)

Therefore, the required sample size is:

n = (1.96)²×0.167×(1-0.167)/(0.03)²

n = 598.8

To meet your requirements, you should interview 599 persons (rounding up the answer to the next whole number).

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Answer:domain is (2, ∞), range is (-∞,∞)

Step-by-step explanation:

domain is (2, ∞) as it aproaches 2 but never reaches and range is (-∞,∞)

The complete question:

Which inequality's solution is graphed here?

A) x + 8 < 5

B) x - 5 < 8

C) x + 5 < 8

D) x - 8 < 5

The given graph represents on the number line is represented by inequality  x - 5 < 8. So option B is correct.

Real numbers are represented by a straight line known as a number line. The distance between the dots on the line, which correlates to the magnitude of the numbers, is how the numbers are typically represented. Positive or negative numerals can be used, and they are normally marked at regular intervals.

Given that,

A graph,

which has values less than 13,

In form of inequality it can be written as,

x < 13

And inequality x - 5 < 8,

can be written as  x < 13

Hence, the option b is correct inequality.

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To find the weight of 2.2 cubic feet of water in pounds, we can use the following formula:

Weight in pounds = Volume in cubic feet x Density of water in pounds per cubic foot

The density of water is 62.4 pounds per cubic foot, so we can substitute the values into the formula:

Weight in pounds = 2.2 x 62.4 = 138.08

So, 2.2 cubic feet of water weighs 138.08 pounds.

To convert this weight to tons, we can divide by 2000, as there are 2000 pounds in a ton:

Weight in tons = 138.08 / 2000 = 0.06904 tons

So, 2.2 cubic feet of water weighs 0.06904 tons.

Answer:

Step-by-step explanation:

First, we need to find how many gallons of water 2.2 cubic feet hold:

2.2 cubic feet * 7.48 gallons per cubic foot = 16.456 gallons

Next, we'll find the weight of the water in pounds:

16.456 gallons * 8.33 pounds per gallon = 136.08 pounds

Finally, we'll convert the weight to tons:

136.08 pounds / 2000 pounds per ton = 0.0680 tons

So 2.2 cubic feet of water weigh 136.08 pounds and 0.0680 tons.

The value of lim x -> -1- f(x)= -1

The behavior of a function at a specific input is described by its limit, a crucial concept in calculus and analysis.

Hence,

As x approaches -1 from the left, the graph of f(x) leads you to the point (-1, 3), so the limit from the left is 3.

As x approaches -1 from the right, the graph leads to the point (-1, -3), so the limit from the right is -3.

The one-sided limits do not match, so the two-sided limit does not exist.

But f(x) is still defined at x = -1; this is indicated by the point (-1, -1). So f (-1) = -1.

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The graph below is the function f(x)

Find lim x -> -1- f(x)=

Answer:  -151

Step-by-step explanation:  

First Plug everything in

-7(5)^(2)+2(5)+2(7)

Then use order of operations and first deal with the exponent

-7(25)+2(5)+2(7)

then multiply left to right

-175+10+14

combine

so the answer is -151

By using the composition of functions, we can find valid decompositions of c(x) using f(x) = [tex](x+1)^{1/3}.[/tex] and g(x) = x²

A function is a rule that takes an input value and produces an output value.

One way to do this is to use the composition of functions. The composition of two functions f(x) and g(x) is denoted as f(g(x)). This means that we first apply g(x) to the input, and then apply f(x) to the output of g(x). In other words, we first evaluate g(x), and then plug that result into f(x) to get the final output.

Using this concept, let's look at the first set of functions. We are given

=> c(x) = f ◦ g (x) = (x²) f(x) = [tex](x+1)^{1/3}.[/tex]

This means that c(x) is the composition of two functions, f(x) and g(x). We can see that g(x) = x², and f(x) = [tex](x+1)^{1/3}.[/tex] This is a valid decomposition of c(x).

Similarly, in the second set of functions, we have

=> c(x) = f ◦ g (x) = [tex](x+1)^{1/3}[/tex] g(x) = x² + 1.

This means that c(x) is the composition of two functions, f(x) and g(x). We can see that g(x) = x² + 1, and [tex](x+1)^{1/3}.[/tex] This is also a valid decomposition of c(x).

In the third set of functions, we have

=> c(x) = f ◦ g (x) = [tex](x+1)^{1/3}[/tex] g(x) = x + 1, and f(x) = [tex](x^2)^{1/3}=x^{2/3}[/tex]

This is another valid decomposition of c(x).

Finally, in the fourth set of functions, we have

=> c(x) = f ◦ g (x) = x² g(x) = [tex](x+1)^{1/3}[/tex], and f(x) = [tex]x^{2/3}[/tex].

This is yet another valid decomposition of c(x).

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Answer:

need help looking for the anwser here it's the 2.5

The area of rhombus ABCD is 98.28 cm². Therefore, option C is the correct answer.

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, in rhombus ABCD, AD=10 cm and OC=7.8 cm.

Here, BC²=OC²+OB²

10²=7.8²+OB²

OB²=100-60.84

OB²=39.16

OB=√39.16

OB=6.3 cm

AC=2×7.8

AC=15.6 cm

BD=2×6.3 =12.6 cm

We know that, area of rhombus is 1/2 ×(Product of diagonals)

Now, area= 1/2 ×15.6×12.6

= 98.28 cm²

Therefore, option C is the correct answer.

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The solution for x is not possible because the information is not enough, the correct option is D.

Its a parallelogram but all sides of same length.

Rhombus is a parallelogram whose all sides are of equal lengths.

Its diagonals are perpendicular to each other and they cut each other in half( thus, they're perpendicular bisector of each other).

Its vertex angles are bisected by its diagonals.

The triangles on either side of the diagonals are isosceles and congruent.

We are given that;

m∠AEB of rhombus ABCD is 7x+6

Now,

To find the value of x we need atleast one more information

Since the measure of diagonals are not given and the length of sides are also not provided.

So, that the calculation could not be made.

Therefore, the information of rhombus is insufficient.

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The linear function for the amount of store credit he will have left after purchasing x video games is given as follows:

f(x) = 299 - 60x.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The parameters for this problem are given as follows:

Hence the function is given as follows:

f(x) = 299 - 60x.

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Answer:

Chebyshev's inequality states that for any given dataset, at least 1 - 1/k^2 of the data will lie within k standard deviations from the mean.

When k = 3, at least 1 - 1/3^2 = 1 - 1/9 = 8/9 of the data will lie within 3 standard deviations from the mean.

So, for the temperature data, we can determine that at least 8/9 of the data will lie between 28.8 - 3 × 7.4 = 7°F and 28.8 + 3 × 7.4 = 50.6°F.

In other words, we can say that at least 8/9 of the temperatures recorded during the two months were between 7°F and 50.6°F.