Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the mean of this distribution

Given that the amount of Advil in your body will be cut in half every 3 hours. An Advil Extra-Strength tablet has 400mg of the drug. Let X be the number of tablets and Y be the amount of Advil in the body.

Hence, the equation representing the amount of Advil in your body after taking an Extra-Strength tablet can be obtained using the exponential decay formula for half-life, given as follows:Y = 400(X/2)^(t/3)

Where, t is the time in hours. So, Y = 400(0.5)^(t/3)

How much Advil will be in your system after 8 hours?

We are to find the amount of Advil in your system after 8 hours.

So, we put t = 8 in the equation above and solve for Y.Y = 400(0.5)^(8/3)

= 100.1

Therefore, the amount of Advil in your system after 8 hours is 100.1 mg (approx).

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Step-by-step explanation:

first number=x

second number=x+2

third number=x+4

(x+2)(x+4)=3x+26

x(x+4)+2(x+4)=3x+26

x²+4x+2x+8=3x+26

x²+6x+8=3x+26

x²+6x-3x=26-8

x²+3x=18

x²+3x-18=0

you can use that to find the numbers

Answer:

6, 8 and 10

Step-by-step explanation:

Let the 3 consecutive odd numbers be x, x+2, x+4

product of the second and the third integer

(x+2)(x+4)

twenty-six more than three times the first integer is expressed as;

3x + 26

Equate

(x+2)(x+4) = 3x + 26

x²+4x+2x+8 = 3x + 26

x²+6x +8= 3x+26

x²+3x +8-26 = 0

x²+3x-18 = 0

Factorize

x²-6x+3x-18 = 0

x(x-6)+3(x-6) = 0

x+3 = 0 and x-6 = 0

x = -3 and 6

The first 3 number is are 6, 8 and 10

Answer:

Exact Form: 34/9

Mixed-Number Form: 3 7/9

Step-by-step explanation:

Hope this helps.

Answer:

3 7/9

Step-by-step explanation:

2 1/8  

convert mixed numbers to improper fractions

2x8+1/8 = 17/8

1 7/9

1x7+9/9 =16/9

17/8 x 16/9

Factor the number 16=8x2

17x8x2/8x9

cancel the common factor =8

=17x2/9

=34/9

convert improper fractions to mixed numbers

34/9 =3 remainder of 7

34/9 = 3 7/9

We know that

• 2/5 are strawberries.

• 1/4 of the strawberries are chocolate covered.

We have to find 1/4 of 2/5, let's multiply these fractions.

Answer:

x = 46°

Step-by-step explanation:

Angles on a straight line sum to 180°.

Therefore, the interior angle of the triangle that forms a linear pair with the exterior angle marked 130° is:

⇒ 180° - 130° = 50°

The interior angle of the triangle that forms a linear pair with the exterior angle marked 96° is:

⇒ 180° - 96° = 84°

The interior angles of a triangle sum to 180°. Therefore:

⇒ 50° + 84° + x = 180°

⇒ 134° + x = 180°

⇒ 134° + x - 134° = 180° - 134°

⇒ x = 46°

Therefore, the size of angle x is 46°.

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

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Answer: 8 1/2

I can't give an explanation though

Answer:

True

Bones seperated from a joint

Step-by-step explanation:

Answer:

5 is bones separated from the joint

Step-by-step explanation:

The required value of the given function is (f ⋅ g)(4) = 130.

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The functions are given in the question, as follows:

f(x)=3x+1 and g(x)=x²-6

(f ⋅g)(x) is the composition of the functions f and g, which means f(x) × g(x).

(f ⋅ g)(x) = f(x) × g(x)

So, substituting x = 4:

(f ⋅ g)(4) = f(4) × g(4)

= (3 × 4 + 1)×(4² - 6)

= 13 × 10

= 130

So, (f ⋅ g)(4) = 130.

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Answer:

$13 overpayment

Step-by-step explanation:

We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:

               ($26,555/(36 months)) = $737.64 per month

Since Trevor decide to round up to the nearest dollar, he will pay $738 each month.  That's an overpayment of $0.361 each month.

After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:

  ($0.36/month)*(36 months) = $13 overpayment

Answer:

Surface area = 96 m^2

Step-by-step explanation:

Let's cube root the volume to find the length of one side of the cube.

\(64^\frac{1}{3} = 4\)

Therefore each side is 4 m.

Surface area of one side = 4x4 = 16

A cube has 6 sides.

Total surface area of the cube = 16*6 = 96 m^2

Answer:

2x+4=5

Step-by-step explanation:

Answer:

2x+4=5

Step-by-step explanation:

For any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

To determine the values of h and okay for which the device of equations has no answer, we want to locate the situations underneath which the equations are inconsistent or parallel.

The given system of equations is:

Equation 1: x + 3y = h

Equation 2: -4x + ky = -9

For the gadget to haven't any answer, the lines represented with the aid of these equations should be parallel and in no way intersect. In different phrases, the slopes of the traces need to be equal, but the y-intercepts should be specific.

Let's first discover the slopes of the traces. The slope-intercept form of Equation 1 is y = (-1/3)x + (h/3), wherein the slope is -1/3. The slope-intercept shape of Equation 2 is y = (4/k)x - (9/k), wherein the slope is 4/k.

For the strains to be parallel, the slopes should be equal. Therefore, we have the condition: -1/3 = 4/k.

To locate the values of h and okay for which the gadget has no answer, we need to locate the values of h that satisfy the situation -1/3 = 4/k.

Solving this equation for ok, we've got:

-1/3 = 4/k

-1 = 12/k

k = -12

Substituting k = -12 returned into the equation -1/3 = 4/k, we've:

-1/3 = 4/(-12)

-1/3 = -1/3

Since the equation holds real for any value of h, there aren't any restrictions at the price of h.

Therefore, for any price of h and k = -12, the system x + 3y = h and -4x + ky = -9 will haven't any answer.

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The system of equations has no solution when k is equal to 12. The value of h can be any real number.

To determine the values of h and f for which the system has no solution, we need to analyze the coefficients of the variables and the constants in the equations.

The given system of equations is:

x + 3y = h

-4x + ky = -9

We can rewrite the second equation as:

-4x + ky = -9

Dividing both sides of the equation by -4, we get:

x - (k/4)y = 9/4

Comparing the coefficients of x and y in the two equations, we can see that the slopes of the lines represented by the equations are different when k is not equal to 12.

Therefore, for the system to have no solution, k must be equal to 12.

As for the value of h, it can be any real number since it does not affect the slopes of the lines.

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The Lagrange multipliers fail to solve the problem because  g = 0 at the coordinates (x, y) = (0, 1) where f reaches its minimum on g = 0,

The Italian mathematician Joseph-Louis Lagrange is honoured by having his multiplier method named after him. In order to apply the derivative test of an unconstrained problem to a constrained problem, it is necessary to convert it into a different form.

Moreover, this technique is frequently employed in mathematical optimization. When a function of the form f(x, y, and z) is subject to equality constraints of the form g(x, y, and z) = k or g(x, y, and z) = 0, one useful technique is the method of Lagrange's multipliers. This means that it depends on the values of the desired variable exactly satisfying the terms of one or more equations.

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Answer:

C. The mean is skewed by the days Mary did not exercise.

Step-by-step explanation:

If Mary does not exercise for, say, a month then the mean will be very low and is not an indicator of how much time Mary spends exercising on an average

The basic assumption for a chi-square hypothesis test is that all scores come from an interval or ratio scale. This means that the data being analyzed should have a quantitative scale with consistent units of measurement.

All other assumptions for chi-square, including normal population distribution and independent observations, apply to different types of statistical tests.

Normal population distribution assumes that the data follows a normal distribution curve, which is not applicable to a chi-square test as it is a non-parametric test that does not make any assumptions about the underlying population distribution.

Independent observations assumption implies that the values of one observation do not affect or influence the values of other observations. This assumption is relevant for both parametric and non-parametric tests, including chi-square.

Therefore, it is important to ensure that the data being analyzed meets the assumption of interval or ratio scale to conduct a chi-square test accurately.

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Based on the given information, when both Jasmine and Madison watch 3 children, the statement "Madison earns more than Jasmine" is true.

To determine which statements are true when Jasmine and Madison both watch 3 children, let's analyze their earning equations:

Jasmine's earning equation:

y = 2x

Madison's earning equation:

y = 10 + 4x

Substituting x = 3 (number of hours) into both equations, we can calculate their earnings:

For Jasmine:

y = 2 \(\times\) 3 = 6 dollars

For Madison:

\(y = 10 + 4 \times 3 = 10 + 12 = 22\) dollars

Based on these calculations, we can evaluate the given statements:

Statement 1: Jasmine earns more than Madison.

False. Jasmine earns 6 dollars, while Madison earns 22 dollars. Therefore, Madison earns more than Jasmine.

Statement 2: Madison earns 4 times as much as Jasmine.

False. Madison earns 22 dollars, while Jasmine earns 6 dollars. Therefore, Madison earns approximately 3.67 times as much as Jasmine, not 4 times.

Statement 3: Madison's base rate is 5 times as much as Jasmine's rate.

False. Madison's base rate is 10 dollars, while Jasmine's rate per child per hour is 2 dollars.

Therefore, Madison's base rate is 5 times as much as Jasmine's rate.

In summary, out of the three statements, only Statement 3 is true. Madison's base rate of 10 dollars is indeed 5 times as much as Jasmine's rate of 2 dollars per child per hour.

However, Jasmine earns less than Madison, and Madison's earnings are not exactly 4 times as much as Jasmine's.

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Answer:

29

Step-by-step explanation:

5^2=25

2^2=4

25+4=29

Answer: 29 is the final answer

Step-by-step explanation: Have a nice day - Lily ^_^

Answer:

a= 1

b= 6

c= 8

Step-by-step explanation:

Answer:

Here's the correct answer for Edge 2021

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

Answer: 25

Step-by-step explanation:

Answer:

2 is the answer

Step-by-step explanation:

Answer:

Option 3.

Step-by-step explanation:

x is always first in mapping coordinates, and since both the starting x and y are positive, they would turn negative in a 180 degree rotation. so its option 3.

Hope this helps!!

Answer:

2/11

4/11

6/11

Step-by-step explanation:

probability the letter B = number of times b appears in the word / total number of alphabets

total number of alphabets = 11

number of times b appears in the word = 2

2/11

a vowel = total number of vowels in the word / total number of alphabets

vowels include = a,e,i,o,u

vowels in the word = a, o, i

total number of vowels in the word = 4

4/11

A letter before M in the alphabet = total number of alphabets before m in the word  / total number of alphabets

letters before m = A, B, C, D, E, F, G, H, I, J, K, L

letters before m in the word = b,a, i , l

number of words before m = 6/11

Answer:

You can put 1 + 6 into parentheses to make the answer correct.

Step-by-step explanation:

5 × 4 - (1 + 6) = 13

5 × 4 - (7) = 13

20 - (7) = 13

13 = 13

Answer:

5 • 4 - (1+6)=13

Step-by-step explanation:

5 • 4 - 1+6=13

Add parentheses to make this true

5 • 4 - (1+6)=13

Using PEMDAS

Parentheses first

5 • 4 - 7=13

Then multiply

20-7 =13

Then subtract

13=13

Answer:

150000(1.22)^t

Step-by-step explanation:

A-150000

R- 0.22 plus the 1 since it’s positive y=A(1+r)

Sooo 150000(1+0.22)^t

The margin of error is 0.069, The sample mean is 0.611.

Part 1: To find the margin of error, we need to know the confidence level and the sample size. Assuming a 95% confidence level and an unknown sample size, we can use the formula:

Margin of error = (upper limit - lower limit) / 2 * z

where z is the z-score for the desired confidence level, which is 1.96 for a 95% confidence level.

Margin of error = (0.680 - 0.542) / 2 * 1.96

Margin of error = 0.069

Therefore, the margin of error is 0.069.

Part 2:

The sample mean is the midpoint of the confidence interval, which is the average of the upper and lower limits:

Sample mean = (upper limit + lower limit) / 2

Sample mean = (0.680 + 0.542) / 2

Sample mean = 0.611

Therefore, the sample mean is 0.611.

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Answer:

La altura de Juan por lo tanto es de 1.6 metros de altura

Step-by-step explanation:

Segun los datos que se encuentran en el ejercicio, tenemos lo siguiente:

Juan proyecta una sombra de 2 metros en el momento en que Pedro que mide 1,80.

Supongamos que x es la altura de juan que tenemos que calcular.

La altura de Juan por lo tanto la podemos calcular de la siguiente manera con la siguiente formula:

x= (1.8 metros/2.25 metros)*2

x=1.6 metros

La altura de Juan por lo tanto es de 1.6 metros de altura