what is X in this eqation -3+3x=-2(x+1)
Step by step

Answer:

the first option

Step-by-step explanation:

really, just look at the table.

is the mean value (10.4) larger than the median (13.4) ?

I hope you can see right away that it is not.

and you can see they are not the same either.

so, all the answer options mentioning mean larger than median or equal to median can be ruled out right away.

so, it is between the first two options.

now think ! how do we draw number lines ? a coordinate axis ?

the smaller numbers left, the larger numbers right. the numbers grow from left to right.

the mean value is simply the sum of all measurements divided by the number of measurements (how many median were done). if that is smaller that the median (so, the Mean is left of the Median), it means that the majority of measurements had a result smaller (to the left) than the Median. so, it is skewed-left.

Answer:

Hannah has 56

Step-by-step explanation:

Hannah receives 7 for every 3rd Zoe gets. Take Zoe's amount, divide it by three, and you get 8. 8*7 is 56.

Answer:

Yes

Step-by-step explanation:

That parts (2) and (5) rely on the assumption that having alcohol problems and having high blood pressure are independent events. This may not be a reasonable assumption in practice, as the two conditions may be related.

Let A be the event that a patient has alcohol problems, H be the event that a patient has high blood pressure, and C be the event that a patient has both conditions. Then we have:

The probability that a patient is not an alcoholic is P(not A) = 1 - P(A) = 1 - 17/50 = 33/50.

The probability that a patient doesn't have any of the conditions is P(not A and not H) = P(not A) * P(not H | not A). We know from the problem that there are 8 patients with both conditions, so there are 17 - 8 = 9 patients with only alcohol problems, and 12 - 8 = 4 patients with only high blood pressure. Therefore, P(not H | not A) = number of patients without high pressure among those who are not alcoholic / number of patients who are not alcoholic = 33/41. Thus, P(not A and not H) = (33/50) * (33/41) ≈ 0.506.

The probability that a patient has only one of the two conditions is P(A and not H) + P(not A and H) = (17-8)/50 + (12-8)/50 = 9/50.

The probability that a patient has at least one of the two conditions is P(A or H) = P(A) + P(H) - P(C) = 17/50 + 12/50 - 8/50 = 21/50.

The probability that a patient doesn't have high pressure, knowing that they're not an alcoholic, is P(not H | not A) = 33/41. We calculated this in part (2).

Note that parts (2) and (5) rely on the assumption that having alcohol problems and having high blood pressure are independent events. This may not be a reasonable assumption in practice, as the two conditions may be related. However, given the information provided in the problem, we have no reason to believe that they are dependent.

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A confidence interval is constructed to estimate the value of a parameter.

In statistics, a parameter refers to a numerical characteristic of a population, such as the population mean or population proportion. When we want to estimate the value of a parameter, we construct a confidence interval.

A confidence interval provides a range of values within which we believe the true parameter value is likely to fall, based on our sample data. It is constructed using sample statistics and takes into account the variability and uncertainty in the estimation process.

A confidence interval is constructed to estimate the value of a parameter, not a statistic.

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The formula for the exponential function is V = 5000 (2)^(−t/4).

What is an exponential function?

A function whose value is a constant raised to the power of an argument is called an exponential function.

Here, we have

The value of an item initially worth $5000 loses half its value every 5 years.

V = V₀eˣⁿ

At t = 0,V = V₀

So, V = 5000eˣⁿ

At t = 4,V = V₀/2 = 2500

Substituting these into our equation, we have

5000e^(4k) = 2500

e^(4k) = 12

4k = −ln2

k = −ln2/4

Finally, we have our equation

V = 5000e^(−tln2/4 )

V = 5000(e^ln2)^(−t/4)

V = 5000 (2)^(−t/4)

Hence, the formula for the exponential function is V = 5000 (2)^(−t/4).

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All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Using natural logarithms properties, we will see that:

x = -1.596

Here we can use the property:

\(ln(a^b) = b*ln(a)\)

Now we have the equation:

\(4^{x + 3 }= 7\)

If we apply the natural logarithm in both sides, we get:

\(ln(4^{x + 3 })= ln(7)\\\\(x + 3)*ln(4) = ln(7)\\\\x + 3 = ln(7)/ln(4)\\\\x = ln(7)/ln(4) - 3 = log_4(7) - 3 = -1.596\)

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A pentagon has five angles, and the sum of the angles of a pentagon is equal to 540°. Therefore, the measure of the fifth angle can be found by subtracting the sum of the given angles from 540°:

540° - (85° + 110° + 135° + 95°) = 540° - 425° = 115°.

Therefore, the measure of the missing angle is 115°.

Sum of the angles of a n-sided polygon:

\(\text{S}_{\text{n}}=180^\circ\times(\text{n}-2)\)

In this question, we have a pentagon, so

\(\text{n}=5,\)

then

\(\text{S}_5=180^\circ\times(5-2)\)

\(\text{S}_5=180^\circ\times3\)

\(\text{S}_5=540^\circ \longleftarrow \ \text{sum of the measures of the internal\\}\)

                       \(\text{angles of a pentagon.}\)

Let \(\text{x}\) be the measure of the missing angle. So,

\(85^\circ+110^\circ+135^\circ+95^\circ+\text{x}=\text{S}_5\)

\(425^\circ+\text{x}=540^\circ\)

\(\text{x}=540^\circ-425^\circ\)

\(\text{x}=115^\circ\longleftarrow \ \ \ \text{measure of the missing angle.}\)

Tags: sum internal angle missing pentagon polygon plane geometry

This is the answer to your problem

Step-by-step explanation:

Since the initial fee is fixed, we can assume it is a constant and the succeeding mile fee is the variable as it changes for every mile covered.

Let x = distance (mile)

let y = total charge (dollars)

Yellowcab company equation for cost calculation;  3.50 + 2.5x = y

laxicab company equation for cost calculation;  4.54+2.3x = z

the two companies charge the same amount when y = z

; 3.50 + 2.5x = 4.54+2.3x

x = 5.2 miles

COST CALCULATION

;3.50 + 2.5x = ?

if x = 5.2;

; 3.50 + 2.5(5.2) =$16.50

OR

; 4.54+2.3x = ?

; 4.54 + 2.3(5.2) = $16.50

The result we obtain after two's complement subtraction is, which is consistent with decimal subtraction.

We solve this question by applying all the steps of two's complement subtraction.

First, we convert 27₁₀ to its binary form.

27₁₀ = 1(2⁴) + 1(2³) + 0(2²) + 1(2¹) + 1(2⁰)

       = (00011011)₂

Next, we get the two's complement by interchanging 0s with 1s and vice-versa.

Two's complement = 11100100 + 1 = (11100101)₂

Now for the original subtraction, we just add the binary form of 19 into the two's complement of 27.

19₁₀ = 1(2⁴) + 0(2³) + 0(2²) + 1(2¹) + 1(2⁰)

      = 00010011

(00010011)₂ + (11100101)₂  = 1 00001000

The first bit is the sign bit, which indicates whether the number is positive or negative. The rest of the 8 bits form the number.

Here, the sign bit is 1. So it is a negative number.

The rest of the binary digits represent the number 8.

Therefore, as we know, the subtraction of 27 from 19 gives us -8 through two's complement subtraction.

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Answer:

D.

Step-by-step explanation:

We know that to find unit price, we divide the unit in the numerator by the quantity in the denominator.

For the first option, we must put $1.49 as the numerator and 8 as the denominator. It will then look like this:

For our second option, we must put $2.29 as the numerator, and 12 as the denominator. It will look like this:

For our third option, we must put $2.75 as the numerator, and 15 as the denominator. It will look like this:

For our final option, we must put $3.89 as the numerator, and 20 as the denominator. It will look like this:

Therefore, the last option is the best buy because $0.18625 > $0.18333.

Answer:

a

Step-by-step explanation:

Given

u = (x₁, y₁, z₁ ) and v = (x₂, y₂, z₂ ) then the dot product is

u • v = (x₁ x₂ ) + (y₁ y₂ ) + (z₁ z₂ )

Then

v • w

= (5 × 9) + (- 4 × - 2) + (4 × 7)

= 45 + 8 + 28

= 81 → a

The output of the following code snippet will be 1, 2, 3, and 4.

The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:

Step 1: Assign 1 to x.x = 1

Step 2: Start an infinite loop using the while True statement.

Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.

Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.

Step 5: Print the value of x to the console using the print(x) statement.

Step 6: Increment the value of x by 1 using the x += 1 statement.

Step 7: Repeat steps 3-6 until the break statement is executed.

Therefore, the output of the code will be: 1 2 3 4.

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The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.

Hence, The cross-sectional area will be π*(y^2-x^2) as area of a circle with radius r is π*r^2.

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Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).

To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.

Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.

To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.

Therefore, Jean's equity as a percent of the house value is 24.26%.

Now, let's move on to Nastya's question.

To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:

P = r * PV / (1 - (1 + r)^(-n))

Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments

Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years

First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.

Next, we substitute the values into the formula and solve for P:

P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))

Using a calculator, we get P ≈ $7,350.68.

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Answer:

D

Step-by-step explanation:

We will use the order of operations to evaluate the expression.

From left to right , Multiplication/Division followed by Addition/Subtraction.

21 / 3 + 8 - 4

= 7 + 8 - 4

= 15 - 4

= 11

Therefore, the answer is D

Answer:

D) 11

Step-by-step explanation:

Division and multiplication always comes first in an equation. Since there is no multiplication in the expression, we can divde first.

21 / 3 = 7

Our new expression will be: 7 + 8 - 4

Now we can just add (7) , (8), and (-4) not caring about the order, since they are all addition or subtraction.

I'll do the addition first, but order does not matter.

7 + 8 = 15

15 - 4 = 11

So 11 is our final answer.

Looking at the answer choices, D has 11, so D is our answer for this question.

Answer: x ≈ 44

because ΔHIJ is a right triangle at J

=> sin x = 47/68

=> x ≈ 44°

Step-by-step explanation:

Customers older than 45 years are 11 in number. This can be solved using stem-and-leaf plot.

A stem and leaf plot, often known as a stem plot, is a method for categorizing discrete or continuous data. Data are organized as they are gathered using a stem and leaf plot. A stem and leaf plot resembles a bar graph in appearance. As each integer throughout the database is divided into a stem and a leaf, thus the name fits.

The last digit of each data point serves as the "leaf" in a stem and leaf plot, which divides the data into numerical points (the leading digit or digits).

The stem and leaf plot represents the age of store patrons. The leaf represents the unit digit, while the stem stands for the tens digit. 45 is not taken into account because the question asks us to determine the percentage of consumers who are over 45.

Customers older than 45 years old include: 48, 50, 50, 51, 55, 56, 62, 64, 65, 65, 73.

So, there are a total of 11 clients.

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The complete question is as follows:

The stem-and-leaf plot shows the ages of customers who were interviewed in a survey by a store. How many customers were older than 45

Answer:

and? What about Jade's garden?

Step-by-step explanation:

Answer:

There is no problem to go with this statement, please use full questions.

Step-by-step explanation:

Answer:

sinθ = -3/5, Quadrant IV (Option B)

Step-by-step explanation:

Let's first find the sine

cosθ = adj./hyp.

Pythagorean theorem (in terms of right triangle trig) = (opp)^2 + (adj)^2 = (hyp)^2

Plug in the adjacent and hypotenuse

(opp.)^2 + 16 = 25

solve for the opposite side

opp. = 3

To find the quadrant, recall the sin <0, so the sin has to be negative.

So, your sine value is -3/5.

Sine is negative at Quadrants III and IV, so eliminate C and D.

Since your cosine value is positive, it is at Quadrant IV (Cosine is positive at the first and fourth quadrants.)

Therefore, Option B is correct.

The percent increase in the cost of the uniform from last year to this year is 25%.

To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.

The difference between this year's price and last year's price is:

$65 - $52 = $13

The original price (last year's price) is $52.

So the percent increase in the cost of the uniform is:

percent increase = (difference / original price) x 100

percent increase = ($13 / $52) x 100

percent increase = 0.25 x 100

percent increase = 25%

Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.

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The fish population will be the same as on January 1, 2002 on January 1, 2017 and all the fish in the lake will have died by 2019

The function is given as:

F(t) = 1000(30 + 15t - t^2)

Start by calculating F(0) --- population in 2002

So, we have:

F(0) = 1000(30 + 15(0) - 0^2)

F(0) = 30000

Substitute 30000 for F(t) in F(t) = 1000(30 + 15t - t^2)

1000(30 + 15t - t^2) = 30000

Divide by 1000

30 + 15t - t^2 = 30

Simplify

t^2 - 15t = 0

Divide through by t

t - 15 = 0

Solve

t = 15

This means that

Year = 2002 + 15

Year = 2017

Hence, the fish population will be the same as on January 1, 2002 on January 1, 2017

This means  that F(t)= 0

So, we have:

1000(30 + 15t - t^2) = 0

Divide by 1000

30 + 15t - t^2 = 0

Rewrite as

t^2 - 15t - 30 = 0

Using a graphing calculator, we have

t = 17 (approximated)

This means that

Year = 2002 + 17

Year = 2019

Hence, all the fish in the lake will have died by 2019

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The present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% can be calculated by the formula:PV = FV / (1 + r/m)^(m*t)Here, PV stands for Present Value FV stands for Future Valuer stands for the interest rate (9%)m is the number of times the interest is compounded (semi-annually, so m = 2)t is the number of years (5)

After substituting the values in the formula, we get:PV = 13,000 / (1 + 0.045)^10PV = 13,000 / 1.55709768854PV = $8,349.58. We can use the concept of present value (PV) and future value (FV) to solve this question. When the cash flow is considered at different points of time, the money's value changes with the time value of money. The time value of money takes into consideration the amount of interest that could be earned on the sum of money if invested. Present value (PV) is a mathematical concept that represents the current worth of a future sum of money, taking into account the time value of money and the given interest rate. PV is calculated by using a discount rate that is determined by the interest rate and the length of time between the present and future payment dates. Future value (FV) is a mathematical concept that represents the future worth of a present sum of money, taking into account the time value of money and the given interest rate. FV is calculated by using a compound interest rate that is determined by the interest rate and the length of time between the present and future payment dates. To calculate the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9%, we can use the formula PV = FV / (1 + r/m)^(m*t), where PV is the present value, FV is the future value, r is the interest rate, m is the number of times the interest is compounded per year, and t is the number of years. In this case, we know that FV is $13,000, r is 9%, m is 2 (since it is compounded semi-annually), and t is 5. After substituting these values into the formula, we get PV = $8,349.58. Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

Therefore, the present value of $13,000 discounted back 5 years at a semi-annual compound rate of 9% is $8,349.58.

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$16,200

1) Coletando los datos

Valor presente: 5,000

rate: 9%

Tiempo: 36 meses

2) Escribindo la formula y despues aplicando los datos, tienemos:

Mira que subtraemos de lo Valor Futuro, el Principal. A -P = i

3) Entonces el interés simple és $16,200