For the following figure, find x (if your answer has a decimal, round to the tenths place);

Answer:

Because kind words bring happiness

And I can’t hold it in

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer: x < 3/5 y + -9/5

Step-by-step explanation:

is provided below :)

The probability that a bat does not consume any mosquitoes in a 30-second interval is 0.0067379 or 0.67%.

In this case, the average rate of mosquitoes consumed by a bat is 10 per minute.

To find the rate for a 30-second interval, calculate the rate for 1 minute and then adjust it for the 30-second interval:

Average rate for 1 minute = 10 mosquitoes

Rate for 30 seconds = \(\dfrac{10 \,mosquitoes}{1 \,minute} \times \dfrac{1}{2}\)

                                  = 5 mosquitoes

The Poisson distribution probability mass function is given by:

\(\[ P(X = k) = \dfrac{e^{-\lambda} \cdot \lambda^k}{k!} \]\)

Where:

\(\(\lambda\)\) is the average rate of events.

In this case, to find the probability that k = 0.

So, let's plug in the values:

\(\(\lambda = 5\)\)

\(\(k = 0\)\), back to the formula as

\(\[ P(X = 0) = \dfrac{e^{-5} \cdot 5^0}{0!} \]\)

Calculating the probability as

\(\[ P(X = 0) = e^{-5}\)

                \(= 0.0067379\)

Therefore, the probability is 0.0067379 or 0.67%.

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Answer:

The speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind) is approximately 2.9 km/h

Step-by-step explanation:

In the question, we have;

The speed of the tailwind = 2 km/h

The time it takes Baba Yaga to the Bald Mountain = 6 hours

The location where Baba Yaga finds her broom = 40 km before Bald Mountain

The duration of the entire journey = 9 hours

Let 'v' represent the speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind), we get;

(v + 2) × t = (v - 2) × (t - 9)

v·t + 2·t = v·t - 9·v - 2·t + 18

2·t = 18 - 9·v - 2·t

4·t = 18 - 9·v

t = 4.5 - 2.25·v

(v + 2) × 6 = (v - 2) × (t - 9) + 40

6·v + 12 = (v - 2) × (4.5 - 2.25·v - 9) + 40

6·v + 12 = (v - 2) × (-2.25·v - 4.5) + 40

With a graphing calculator, we have;

6·v + 12 + 2.5·v² - 0.5·v - 9 - 40 = 0

5·v² + 11·v - 74 = 0

Using the quadratic formula

v = (-11 ± √(11² - 4·5×(-74)))/(2·5)

v ≈ 2.9, or v ≈ -5.1

Therefore;

The speed with which Baba Yaga flies in quiet weather (with no tailwind or headwind), v ≈ 2.9 km/h

A committee with 4 democrats and 2 republicans formed from a group of 7 democrats and 5 republicans can be created in a total of 350 ways. Therefore, the option C holds true.

The calculation of the same has been shown as below,

A group has 7 Democrats and 5 Republicans.

Committee with 4 Democrats and 2 Republicans = 7C4 x 5C2

7C4 x 5C2 = 7! / (4! 3!) x 5! / (2! 3!)

7C4 x 5C2 =(7×6×5 / 3×2×1) x (5×4 / 2×1)

7C4 x 5C2 = 35 × 10

7C4 x 5C2 = 350

Therefore, a committee can be created in 350 ways.

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Complete Question

In how many ways can a committee with 4 Democrats and 2 Republicans be formed from a group of 7 Democrats and 5 Republicans?

A 105

B 924

C 350

D 1680

The inequality that represents how much money Caroline needs to earn will be m>35.

An inequality is referred to as the relation that makes a non-equal comparison between two numbers. It is used in comparing two numbers on the number line.

In this case, Caroline needs an amount that's greater than $35, therefore, the amount must be greater than $35

From the options given, the correct inequality will be m>35. This means m is greater than $35.

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Answer:

y=(3/2)x-5

Step-by-step explanation:

1=4k+b, -2=2k+b

b=1-4k, b=-2-2k

1-4k=-2-2k

k=3/2

1=4k+b

1=4(3/2)+b

b=-5

y=(3/2)x-5

Brillianst!!!!!!!please!!!!!!!

Answer:

y=(3/2)x-5

Step-by-step explanation:

Answer c

Step-by-step explanation:

Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.

To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.

Given:

Probability of having the genetic mutation (p) = 0.09

Sample size (n) = 500

The standard deviation (σ) of a binomial distribution is calculated using the formula:

σ = √(n * p * (1 - p))

Substituting the given values:

σ = √(500 * 0.09 * (1 - 0.09))

Calculating the standard deviation:

σ ≈ 6.726 (rounded to three decimal places)

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A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman. sophomore. junior, and senior classes to complete the survey.  This plan is an example of Stratified random  type of sampling .

What does "stratified random sampling" mean?

A population is divided into smaller subgroups known as strata as part of a sampling technique called stratified random sampling.

           During stratified random sampling, also known as stratification, groups of people are divided into groups based on shared traits or characteristics, such as level of education or income.

What is a good illustration of a stratified sampling technique?

A stratified sample is one that guarantees that the various strata (subgroups) of a given population are fairly represented in the sample population as a whole.

                                   One could, for instance, divide a sample of persons into age-related subgroups, such as 18–29, 30-39, 40–49, 50–59, and 60 and above.

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Answer:

Perimeter = 73 inches

Step-by-step explanation:

The attitude of an equilateral triangle divide the base in half which is the side of the triangle.  so c = x the hypotenuse, the base = 1/2x , attitude = 21

Using a² + b² = c²   let a = 21  c = x and b = 1/2x  

21² + (1/2x)² = x²

441 +1/4x² = x²

1764 +  x² = 4x²     Multiply all terms by 4

1764 = 4x²- x²

1764 = 3x²

588 = x²

\(\sqrt{588} = x\)              This is the length of a side

Now Perimeter = 3s

                            \(3(\sqrt{588} )\)

            Perimeter = 72.7461

             Perimeter = 73 inches

Answer:

seventy-six and sixty-eight hundreths

Step-by-step explanation:

Answer:

seventy six point sixty eight

Step-by-step explanation:

Tbh it depends on the person, but this is how I would say it out loud.

Answer:

True

Step-by-step explanation:

You can either solve for x (which produces 0 as the result) or you can plug zero in for x into the original equation to verify that it produces a true statement.

Answer:

Step-by-step explanation:

True or false, 0 is a solution to

2x + 10 = 4x + 10

2x - 4x = 10 - 10

-2x = 0

x = 0/-2

x = 0

the equation is TRUE

Answer:

it is C because he gets $10 every day

Answer: Graph A

Step-by-step explanation:

I got the answer by looking at the lines origins, because the daily income starts out at $10 a day.  This took out B and D for answers since they start at (0,0) not (0,10)

Then I found the value of 10x.5 for each newspaper, graph c's slope was to steep to represent that, thus making it Graph A.

In conclusion the correct answer is graph A

The weekend hours that can be purchase now that the weekday hours have increased is 16 hours.

From the information, the initial cost is given as $2 per hour. When the cost is tripled,the new cost will be:

= $2 × 3

= $6

The total cost of weekday parking hours will be:

6(26 - x) + (10 × x) = 220

156 - 6x + 10x = 220

Collect like terms

4x = 220 - 156

4x = 64

x = 64/4

x = 16 hours.

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2)

When we say that w = 4, it means that we can rewrite the expression and instead of "w", we will put "4", so

Now we have a numerical expression to solve, we can easily solve it!

Therefore, the final answer is

5)

Here we will do the same thing, the "hard" part is solving the numeric expression, it will be a little bit harder than the 2).

Again, repeat the same process, rewrite the expression, and instead of "m" you put "5"

Again, another expression to simplify, remember that we always solve what is inside ( ) first, and we have a multiplication inside ( ) so we must solve it first

Now we solve the multiplication inside ( ) we can do the subctration

The last step is just to solve another multiplication

Now we simplified everything we can have the final answer:

6)

Here we have a division, but it's similar with 5) and 2), we have

No secrets, repeat the process, but here, "a" will turn into "15", then

We can do the multiplication at the numerator of the fraction

Now we can simplify the fraction, 30 divided by 3 is 10, then

Now just do the sum and it's done!

Hence the final answer is

ANSWERS:

1) 43

2) 13

3) 67

4) 12

5) 39

6) 23

Vertex is at (4,−6)and the axis of symmetry is x=4

Answer:

-1

Step-by-step explanation:

Equation: 1/2x-2/3y

Swap out the x and y with the numbers.

1/2 x 4/1 -2/3 x -3

Solve.

2-3

-1

Answer:

You just substitute the values of x=4 and y=-3 into the given equation and then answer.

Step-by-step explanation:

\( \frac{1}{2} \times (4) - \frac{2}{3} \times ( - 3)\)

\( \frac{1}{2} \times \frac{4}{1} - \frac{2}{3} \times - \frac{3}{1} \)

\(2 - ( - 2)\)

\(4\)

so your answer is 4.

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

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

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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Answer:

-3x-4

Step-by-step explanation:

-2x+7-(x+11)= -2x+7-x-11

now combine like terms:

-3x-4

Answer:

43

Step-by-step explanation:

there is a line above the 43, meaning that it ends in 434343434343434343434343434343...... You get the point.

Answer:

43

Step-by-step explanation:

When Ken and Hamid race around a track, Ken completes a lap in 80 seconds while Hamid completes a lap in 60 seconds. ken will run 3 laps where as Hamid will run 4 laps.

Given that,

When Ken and Hamid race around a track, Ken completes a lap in 80 seconds while Hamid completes a lap in 60 seconds.

We have to find if they had faced off on the starting line, how many laps would they have won.

We have to find the LCM of the 80 and 60.

The prefix "LCM" stands for "Least Common Multiple." The smallest multiple that two or more numbers share is known as the least common multiple.

LCM of 80 and 60 is 240

240=80×3

ken will complete 3 laps.

240=60×4

Hamid will complete 4 laps.

Therefore, ken will complete 3 laps where as Hamid will complete 4 laps.

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The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

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The solution of the trigonometric equation is

A trigonometric equation is an equation that contains the trigonometric ratios.

Given the trigonometric equation

sinθ - (1 - sin²θ) = 0, we desire the solution of the equation.

We proceed as follows

sinθ - (1 - sin²θ) = 0

Expanding the brackets, we have

sinθ - (1 - sin²θ) = 0

sinθ - 1 + sin²θ = 0

Re-arranging, we have that

sin²θ + sinθ - 1 = 0

Let y = sinθ

y² + y - 1 = 0

Using completing the square method, we have that

y² + y - 1 = 0

y² + y - 1 + (1/2)² - (1/2)² = 0

y² + y + (1/2)²- 1 - (1/2)² = 0

y² + y + (1/2)²- 1 - 1/4 = 0

(y + 1/2)²- 5/4 = 0

(y + 1/2)²= 5/4

Taking square root of both sides, we have that

y + 1/2 = ±√(5/4)

y + 1/2 = ±√5/2

y = -1/2 ± √5/2

y = (-1 ±√5)/2

y = (-1 + √5)/2 or (-1 - √5)/2

y = (-1 + 2.24)/2 or y = (-1 - 2.24)/2

y = 1.24/2 or y = -3.24/2

y = 0.62 or y = -1.62

So, sinθ = 0.62 or sinθ = -1.62

We discard the second answer since sine is not negative

So, sinθ = 0.62

Taking inverse sine, we have

θ  = sin⁻¹(0.62)

= 38.32°

Also, sin sin is positive, the second answer is θ = 180° - 38.32° = 141.68°

So, the solution is

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Answer:

124

Step-by-step explanation:

15 x 4=60

32 x 2=64

64+60=124

Rachel bought a total of 124 pencils.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

To find the total number of colored pencils Rachel bought, you can multiply the number of packs she bought by the number of pencils in each pack. Since she bought 15 packs of colored pencils with four pencils in each pack, the expression would be:

15 packs × 4 pencils/pack = 60 pencils

To find the total number of glitter pencils Rachel bought, you can use the same process. Since she bought 32 packs of glitter pencils with two pencils in each pack, the expression would be:

32 packs × 2 pencils/pack = 64 pencils

To find the total number of pencils Rachel bought in total, you would add the number of colored pencils to the number of glitter pencils. The expression would be:

60 pencils + 64 pencils = 124 pencils

Hence, she bought a total of 124 pencils.

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Answer:

line BC, 4 units right, and down 1 unit!

Hope This Helps!

Answer:

1. BC

2. 4

3. 1

Step-by-step explanation: