2.4z + 1.2z - 6.5 = 0.7

Answer:

1 is my answer

Step-by-step explanation:

says that any number will be multiplied of 1

Answer:

6

Step-by-step explanation:

BIDEN 2020

Answer:B or C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

c. 4,120 pounds

Step-by-step explanation:

2 tons = 4000 pounds

1920 ounces = 120 pounds

The amount in pounds of 2 tons 1, 920 ounces by unit conversion will be 4,120 pounds thus, option (C) is correct.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

It is known that,

1 tone = 2000 pounds

2 tons = 4000 pounds

It is also known that,

1 ounce = 0.0625 pounds

1, 920 ounces = 120 pounds.

Total = 4000 + 120 = 4, 120 pounds

Hence "The amount in pounds of 2 tons 1, 920 ounces by unit conversion will be 4,120 pounds".

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To solve this problem, we can use the standard normal distribution and the Z-score formula to find the probability that a pregnancy will last at least 300 days.

The Z-score is a measure of how many standard deviations a value is from the mean. We can use the Z-score to standardize a value, which means we can express it in terms of how many standard deviations it is from the mean of the distribution.

The Z-score formula is:

Z = (x - μ) / σ

Where x is the value we are standardizing, μ is the mean of the distribution, and σ is the standard deviation of the distribution.

To find the probability that a pregnancy will last at least 300 days, we can use the Z-score formula to standardize 300 days:

Z = (300 - 268) / 15 = 4

This means that 300 days is 4 standard deviations above the mean of 268 days.

To find the probability that a pregnancy will last at least 300 days, we can use a Z-table or a calculator to find the area under the standard normal curve that is greater than or equal to 4 standard deviations.

Using a calculator or a Z-table, we find that the probability that a pregnancy will last at least 300 days is approximately 0.0165, which corresponds to answer choice D: 0.0165.

Answer: 4/5

Message: If this was helpful let me know! :)

Answer:

£64.4

Step-by-step explanation:

"T-shirts are buy 1 get 1 free"

Therefore if you buy 3 T-shirts, you would get the other 3 free So really you are only paying for 3 T-shirts if you want to get 6.

£5.20(3) =  £15.6

"Jumpers are buy 3 for 2"

So you buy three for the price of 2.

3/2 = 5/x,

x = 3.33

We round this up to 4 and solve for the total cost of the jumpers.

12.2(4) = £48.8

Total:

15.6 + 48.8 =  £64.4

Answer:

also known as the population parameter of interest the parameter of interest is a practical value that gives you more information about the research sample or population being studied in other words these parameter define the describe the search population

what is parameter answer is given above

it takes approximately 13.61 minutes for NASA's radio signals to reach the Curiosity rover on Mars.

To calculate the time it takes for NASA's radio signals to reach the Curiosity rover on Mars, we need to consider the speed of light.

The speed of light in a vacuum is approximately 299,792 kilometers per second or about 186,282 miles per second.

Given that the Curiosity rover is 152 million miles away from Earth, we can calculate the time it takes for the radio signals to travel this distance.

Time = Distance / Speed

Time = 152,000,000 miles / 186,282 miles per second

Converting miles to seconds:

Time = 152,000,000 miles / (186,282 miles/second) * (1 second/1 mile)

Time ≈ 816.62 seconds

To convert this to minutes, we divide by 60:

Time ≈ 816.62 seconds / 60 ≈ 13.61 minutes

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slope intercept form: y = mx + b    [ where m is slope and b is y-intercept ]

\(\dashrightarrow \ \sf9x + 3y = 27\)

\(\dashrightarrow \ \sf 3y = 27 -9x\)

\(\dashrightarrow \ \sf y = \dfrac{27 -9x}{3}\)

\(\dashrightarrow \ \sf y = -3x + 9\)

Here, the "slope is -3"  and  "y-intercept is 9"

Slope intercept form:-

Now convert

Cancel 3

The ladder touches the wall at a height of approximately 9.2 feet above the ground.

We can use the Pythagorean theorem to solve this problem. The theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side, which is the ladder in this case) is equal to the sum of the squares of the lengths of the other two sides (the distance from the wall and the height of the ladder on the wall).

Let's call the distance from the wall "x" and the height of the ladder on the wall "h". Then we have:

\(x^2 + h^2 = 14^2\)

We also know that the bottom of the ladder is placed 3 feet from the wall, so we have:

x + 3 = 14

Solving for x, we get:

x = 11

Substituting this value into the first equation, we get:

\(11^2 + h^2 = 14^2\)

Simplifying and solving for h, we get:

\(h = \sqrt{(14^2 - 11^2)}\)

h ≈ 9.2

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The constant of proportionality k if z = 270 when y = 9 and x = 15. K= 2

The k from above write the variation equation in terms of x and y. z = 2

The k from above find z given that y = 26 and x = 37. z = 1924

If z varies jointly with x and y, then we can write the variation equation as:

z = kxy

We are given that z = 270 when y = 9 and x = 15. Substituting these values into the variation equation, we get:

270 = k(15)(9)

Simplifying and solving for k, we get:

k = 2

Using this value of k, we can write the variation equation as:

z = 2xy

To find z when y = 26 and x = 37, we simply substitute these values into the variation equation and evaluate:

z = 2(37)(26) = 1924

Therefore, z is 1924 when y = 26 and x = 37, using the given value of k.

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Answer: number one is 24

Step-by-step explanation: all you have to do is just minus i’m pretty sure and for the negative ones add the negative number and the other number together. If they are both negative then just act like the negative sign is not there and add the sign back after you find the distance

k decreased from k = 10 to k = 5, the value of 35+k also decreased from 45 to 40.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms. A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure:

The formula is (Number/Variable, Math Operator, Number/Variable). Any mathematical statement made up of numbers, variables, and an operation between them is called an expression or an algebraic expression. As an illustration, the equation 4m + 5 consists of the terms 4m and 5, as well as the variable m, all of which are separated from one another by the arithmetic sign +.

Let's say k = 10. This would mean 35+k = 35+10 = 45

Now let's drop k to k = 5. So 35+k = 35+5 = 40

We see that because k decreased from k = 10 to k = 5, the value of 35+k also decreased from 45 to 40.

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Complete question is: What happens to the value of the expression 35 + k as k decreases?

Answer:

THIRD OPTION - Domain: (0, infinity)

Range: (-infinity, + infinity)

Step-by-step explanation:

The graph is an asymptote, therefore the domain must start at 0 and end at infinity. The range is all real numbers because eventually it will reach all y values.

The Y-intercept of the linear model is approximately $0.99.

To find the Y-intercept of the linear model, we can use the equation of a straight line, which is represented as:

Y = mx + b

Where:

Y represents the dependent variable (total cost)

x represents the independent variable (number of candy bars)

m represents the slope of the line

b represents the Y-intercept.

To find the Y-intercept, we need to determine the equation of the line that best fits the given data points. We can do this by using linear regression.

Using the given data points, we can calculate the slope and Y-intercept of the line. Here's the step-by-step process:

Step 1: Calculate the means of x and Y.

x_mean = (3 + 5 + 8 + 12 + 15 + 20 + 25) / 7 = 88 / 7 = 12.57 (approximately)

Y_mean = ($6.65 + $10.45 + $16.15 + $23.75 + $29.45 + $38.95 + $48.45) / 7 = $173.35 / 7 = $24.76 (approximately)

Step 2: Calculate the deviations of x and Y.

x_deviation = x - x_mean

Y_deviation = Y - Y_mean

For the given data points:

x_deviation = [3 - 12.57, 5 - 12.57, 8 - 12.57, 12 - 12.57, 15 - 12.57, 20 - 12.57, 25 - 12.57]

           = [-9.57, -7.57, -4.57, -0.57, 2.43, 7.43, 12.43]

Y_deviation = [$6.65 - $24.76, $10.45 - $24.76, $16.15 - $24.76, $23.75 - $24.76, $29.45 - $24.76, $38.95 - $24.76, $48.45 - $24.76]

           = [-$18.11, -$14.31, -$8.61, -$1.01, $4.69, $14.19, $23.69]

Step 3: Calculate the product of x_deviation and Y_deviation.

product_deviation = x_deviation * Y_deviation

For the given data points:

product_deviation = [-9.57 * -$18.11, -7.57 * -$14.31, -4.57 * -$8.61, -0.57 * -$1.01, 2.43 * $4.69, 7.43 * $14.19, 12.43 * $23.69]

                 = [173.6927, 108.3427, 39.4277, 0.5757, 11.4047, 105.5197, 293.7067]

Step 4: Calculate the sum of x_deviation squared.

x_deviation_squared = x_deviation^2

For the given data points:

x_deviation_squared = [-9.57^2, -7.57^2, -4.57^2, -0.57^2, 2.43^2, 7.43^2, 12.43^2]

                   = [91.7049, 57.3049, 20.9609, 0.3264, 5.9049, 55.2049, 154.2049]

Step 5

: Calculate the slope (m) using the formula:

m = (sum of product_deviation) / (sum of x_deviation_squared)

m = (173.6927 + 108.3427 + 39.4277 + 0.5757 + 11.4047 + 105.5197 + 293.7067) / (91.7049 + 57.3049 + 20.9609 + 0.3264 + 5.9049 + 55.2049 + 154.2049)

 ≈ 732.1709 / 386.7128

 ≈ 1.8932 (approximately)

Step 6: Calculate the Y-intercept (b) using the formula:

b = Y_mean - (m * x_mean)

b = $24.76 - (1.8932 * 12.57)

 ≈ $24.76 - $23.77

 ≈ $0.99 (approximately)

Therefore, the Y-intercept of the linear model is approximately $0.99.

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Good measures are robust, valid, objective, simple, and precisely definable.

In the context of measurement, good measures possess certain qualities that make them reliable and useful. Based on the options provided, the following qualities apply:

Robust: Good measures are robust, meaning they are resistant to outliers or extreme values that may affect the accuracy of the measurement.

Valid: Good measures are valid, meaning they accurately measure what they are intended to measure and provide meaningful information.

Objective: Good measures are objective, meaning they are free from bias or subjective interpretation, ensuring consistency and fairness.

Simple: Good measures are simple, making them easy to understand and apply. They avoid unnecessary complexity and confusion.

Precisely definable: Good measures have clear and precise definitions, ensuring consistent interpretation and allowing for replication in different contexts.

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Answer:

mia

Step-by-step explanation:

mia: 10/6 per minute

shawn: 5/4 per minute

common denominator is 12, multiply by 2 and 3

20/12 lap per minute mia

15/12 laps per minute shawn

20 > 15

The value 2.9286 can be approximated using: a) Lagrange method with a fourth-order polynomial. b) Newton divided difference method with a fourth-order polynomial.

a) Lagrange Method:

1. Construct the Lagrange interpolation polynomial of degree 4 using the given data points (X, y).

2. Calculate the Lagrange basis polynomials: L₀(X), L₁(X), L₂(X), L₃(X), and L₄(X) for the fourth-order polynomial.

3. Evaluate the interpolating polynomial using the formula:

  P(X) = y₀L₀(X) + y₁L₁(X) + y₂L₂(X) + y₃L₃(X) + y₄L₄(X)

4. Substitute X = 2.9286 into the polynomial P(X) to approximate the corresponding y-value.

b) Newton Divided Difference Method:

1. Construct the Newton divided difference table using the given data points (X, y).

2. Calculate the divided differences: f[X₀], f[X₁, X₂], f[X₁, X₂, X₃], f[X₁, X₂, X₃, X₄] for the fourth-order polynomial.

3. Set up the interpolating polynomial using the divided differences:

  P(X) = f[X₀] + f[X₀, X₁](X - X₀) + f[X₀, X₁, X₂](X - X₀)(X - X₁) + f[X₀, X₁, X₂, X₃](X - X₀)(X - X₁)(X - X₂) + f[X₀, X₁, X₂, X₃, X₄](X - X₀)(X - X₁)(X - X₂)(X - X₃)

4. Substitute X = 2.9286 into the polynomial P(X) to approximate the corresponding y-value.

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a) To find the equation of the line tangent to the graph of f at x = e^2, we need to find the slope of the tangent line and the y-intercept. The slope of the tangent line is given by the derivative of f evaluated at x = e^2: f'(e^2) = (1 - ln(e^2))/(e^2)^2 = (1 - 2)/e^4 = -1/e^4

The y-intercept is found by plugging x = e^2 into the original function and finding the corresponding y-value: f(e^2) = ln(e^2)/e^2 = 2/e^2

We can use this information to write the equation of the tangent line in point-slope form: y - f(e^2) = -1/e^4(x - e^2)

b) To find the x-coordinate of the critical point of f, we need to find the value of x at which f'(x) = 0 or is undefined.

f'(x) = (1 - lnx)/x^2

When we set f'(x) to 0, we get 1 - lnx = 0 lnx = 1 x = e.

As a result, the critical point is at x = e.To determine whether this point is a relative minimum, a relative maximum, or neither, we need to find the second derivative of f(x) and evaluate it at x = e.

f''(x) = -(1 + lnx)/x^3

Evaluating at x = e, we get: f''(e) = -(1 + ln(e))/e^3 = -(1 + 1)/e^3 = -2/e^3

Since the second derivative is negative, the critical point is a relative maximum.

c) To find the x-coordinate of the point of inflection, we need to find the value of x at which f''(x) = 0.

f''(x) = -(1 + lnx)/x^3

Setting f''(x) = 0, we get 1 + lnx = 0 lnx = -1 x = e^-1

So the point of inflection is at x = e^-1.

d) To calculate f(x) = lnx/x, we need to substitute the value of x into the function. f(x) = lnx/x

For example, if we want to calculate f(2) f(2) = ln(2)/2 = 0.693147180559945/2 = 0.346573590279973

So f(2) = 0.346573590279973

Answer:

Step-by-step explanation:

perimeter of rectangle=2(length+width)

=2(70+65)

=2*135

=270 feet

The name of every month ends in the letter y is the given statement. February is a counterexample to this statement. This is because February does not end with the letter 'y'. So the right  option is (c) February.

What is a counterexample?

In mathematics, a counterexample is an example that opposes or disproves a statement, proposition, or theorem. It is a scenario, an instance, or an example that goes against the given statement.

Therefore, a counterexample demonstrates that the given statement is false or invalid.In this case, the statement is: "The name of every month ends in the letter y." We have to find which of the months listed does not end in "y."February is the only month in the options listed that does not end in the letter "y."

Thus, it is a counterexample to the given statement. Therefore, the correct option is C, February.

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Answer:

x²+ x+ 11z - (12/x) - (14/3x²) - 4

Step-by-step explanation:

No...

Answer:Option B is correct.

Step-by-step explanation: Given:  

x+2

1

​

+

x+3

1

​

1        =

(x+3)(x+2)

x+3+x+2

1​      =

2

+5x+6

2x+5

​

1

​

       =

2x+5

x

2

+5x+6

​

The expression 1/(1/x+2) + (1/x+3) is equivalent to (x² + 4x + 44)/x(x + 11) when x > 3.

We have,

To simplify the expression 1/(1/x+2) + (1/x+3), we can apply the concept of finding a common denominator and combining fractions.

Let's start by finding the common denominator for the two fractions.

The denominators are (1/x + 2) and (1/x + 3).

To find the common denominator, we multiply the denominators together:

Common denominator = (1/x + 2) x (1/x + 3)

Expanding the expression:

Common denominator = (1/x * 1/x) + (1/x * 3) + (2 * 1/x) + (2 * 3)

Simplifying further:

Common denominator = 1/x^2 + 3/x + 2/x + 6

Combining the fractions with the common denominator:

1/(1/x+2) + (1/x+3) = (1/x) / (1/x^2 + 3/x + 2/x + 6) + (1/x+3)

To simplify the expression further, we can multiply the first fraction by x/x to clear the fraction in the numerator:

(1/x) / (1/x² + 3/x + 2/x + 6) + (1/x+3) = (x/x) * (1/x) / (1/x² + 3/x + 2/x + 6) + (1/x+3)

Simplifying:

= 1 / (x/x * 1/x) / (1/x² + 3/x + 2/x + 6) + (1/x+3)

= 1 / (1/x²) / (1/x² + 3/x + 2/x + 6) + (1/x+3)

= 1 / (1/x²) / (1/x² + (3 + 2)/x + 6) + (1/x+3)

= 1 / (1/x²) / (1/x² + 5/x + 6) + (1/x+3)

= 1 / (1/x²) / (1/x² + 5/x + 6) + (x/x) * (1/x+3)

Simplifying further:

= 1 / 1 / (1 + 5/x + 6x/x²) + (x/x² + 3x/x)

= 1 / (1 + 5/x + 6x/x²) + (x + 3x)/x²

= 1 / (1 + 5/x + 6/x) + (4x)/x²

= 1 / (1 + (5 + 6)/x) + (4x)/x²

= 1 / (1 + 11/x) + (4x)/x²

= 1 / (x + 11)/x + (4x)/x²

= x / (x + 11) + (4x)/x²

= (x² + 4(x + 11))/x(x + 11)

= (x² + 4x + 44)/x(x + 11)

Therefore,

The expression 1/(1/x+2) + (1/x+3) is equivalent to (x² + 4x + 44)/x(x + 11) when x > 3.

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Answer:

Step-by-step explanation:

3) Opposite sides of a parallelogram are parallel

4) Alternate interior angles theorem

5) Reflexive property

6) ASA

The average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

Given,

Benny's arcade has five video game machines

The average time between failures = 34 hours

The maintenance engineer can repair a machine in about = 13 hours

The failure time and repair times are both exponentially distributed

The formula for the mean of an exponential distribution is mean = 1/λ where λ is the rate parameter of the distribution.

In this problem, the rate parameter of both the failure time and repair time is the reciprocal of their respective averages. Therefore,

λ_f = 1/34λ_r = 1/13

Now, let's find the average time from when a machine breaks until it is fixed using the fact that the sum of two independent exponential distributions with rate parameters λ1 and λ2 is itself an exponential distribution with rate parameter λ1+λ2.

So, the rate parameter for the time from when a machine breaks until it is fixed is λ_f+λ_r = 1/34+1/13

= 0.0885 hours⁻¹ (approximately)

Hence, the average time from when a machine breaks until it is fixed is mean = 1/λ= 1/0.0885 ≈ 11.3 hours (approximately).

Therefore, the average time in hours from when a machine breaks until it is fixed is approximately 11.3 hours.

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Answer:

13.4 seconds

Step-by-step explanation:

add up the five times, then divide the total by 5 (mathematical average)

32 + 5 + 10 + 8 + 12 = 67 seconds total

divide by 5 legs of race 67 / 5 = 13.4 seconds behind the leader on average

always put units to prevent points off by teacher. also pay attention to any rounding instructions