What score is 3 standard deviations above the mean?

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:

5 quarters and 3 nickels

Step-by-step explanation:

x = nickels

y = quarters

x + y = 8

x(0.05) + y(0.25) = 1.40

3 + 5 = 8

3(0.05) + 5(0.25) = 1.40

0.15 + 1.25 = 1.40

1.25 + 0.15 = 1.40

ZW is 37 units long. By subtracting the length of WY, which is found to be -1, from ZW, we found that ZY is 38 units long. However, the lengths of TX and WY are negative, suggesting a potential error in the given information.

In the given figure, we are provided with the lengths of various line segments. Using this information, we can determine the length of ZW. Given that XY = 15 and ZX = 52, we can subtract the length of XY from ZX to find the length of ZW. Therefore, ZW = ZX - XY = 52 - 15 = 37.

Now let's provide a detailed explanation of each length:

ZY = 37

To find the length of ZY, we need to subtract the length of WY from ZW. From the previous calculation, we know that ZW = 37. However, the length of WY is not given directly. To find it, we can use the fact that WX = 22 and WT = 23. Since WY is a part of WX and WT, we can subtract WT from WX to get WY. Therefore, WY = WX - WT = 22 - 23 = -1.

Now, we can substitute the value of WY into the equation for ZY: ZY = ZW - WY = 37 - (-1) = 38. Thus, ZY is equal to 38.

TX = 15

To find the length of TX, we need to subtract the length of WT from XY. We know that XY = 15 and WT = 23. Therefore, TX = XY - WT = 15 - 23 = -8. However, it is important to note that lengths cannot be negative, so TX cannot be -8. This indicates that there might be an error in the given information or measurements.

WY = -1

As calculated earlier, the length of WY is -1. However, it is important to note that lengths cannot be negative in a geometrical context. Therefore, we can conclude that there might be an error in the given information or measurements. It is advisable to double-check the given lengths or clarify any inconsistencies before proceeding with further calculations.

In summary, using the given information, we determined that ZW is 37 units long. By subtracting the length of WY, which is found to be -1, from ZW, we found that ZY is 38 units long. However, the lengths of TX and WY are negative, suggesting a potential error in the given information. It is recommended to verify the measurements to ensure accurate results.

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The domain of f(x) becomes the range of f^-1(x), and the range of f(x) becomes the domain of f^-1(x).

To find the inverse of a function, we need to switch the positions of the x and y variables and solve for y.
Let's take the function f(x) = 2x - 4 as an example.
Step 1: Replace f(x) with y to get y = 2x - 4.
Step 2: Switch the x and y variables to get x = 2y - 4.
Step 3: Solve for y by adding 4 to both sides and then dividing by 2:
x + 4 = 2y
y = (x + 4)/2
So the inverse of the function f(x) = 2x - 4 is f^-1(x) = (x + 4)/2.
Note that the domain and range of the inverse function are switched from the original function. In other words, the domain of f(x) becomes the range of f^-1(x), and the range of f(x) becomes the domain of f^-1(x).

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From the calculation below, the number of books bought by Mr. Ankomah was 87 books.

Let x represent present the number of books bought.

Therefore, we have:

Number of books sold = x - 12

Total revenue from units sold = Number of books sold  * Unit selling price = (x - 12) * 7 = 7x - 84

Total cost of units sold = Number of books sold  * Cost price per unit = (x - 12) * 5 = 5x - 60

Profit = Total revenue from units sold - Total cost of units sold ........... (1)

Since he made a profit of Ghc150.00, we substitute all the relevant values into equation (1) and solve for x as follows:

150 = (7x - 84) - (5x - 60)

150 = 7x - 84 - 5x + 60

150 + 84 - 60 = 7x - 5x

174 = 2x

x = 174 / 2

x = 87

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The correct radius of the cylinder is given by: Option B: 3.04 cm

The formula for the volume of a cylinder is given by the formula:

V = πr²h

where:

V is volume

r is radius

h is height

We are given the parameters as:

Height: h = 12.25 cm

Volume: V = 355 cm³

Thus:

355 = π * r² * 12.25

r² = (355)/(12.25π)

r² = 9.2245

r = √9.2245

r = 3.04 cm

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If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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The process of shaping has been used in the process to train the cat.

The shaping is the process or technique associated with rewarding to the animals or even humans. The method is commonly used to teach obedience and behaviour. It involves breaking down a specific task into small achievable and easy to do actions. It involves awarding on every step which gradually leads to the combination of overall task.

The example of cat here states giving treat at each step. The method was given by B. F. Skinner. Another characteristic of the method is teaching without physical control.

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The expression equivalent to 4(3+5)−3×92 is 14×81, which simplifies to 1134.

To find the equivalent expression, we need to follow the order of operations (PEMDAS/BODMAS). First, we evaluate the parentheses, so 3+5 equals 8. The expression now becomes 4(8)−3×92. Next, we multiply 4 by 8, resulting in 32. The expression becomes 32−3×92. Moving on, we multiply 3 by 92, which equals 276. The expression now simplifies to 32−276. Finally, we subtract 276 from 32, giving us -244. However, none of the given options matches this result.

Upon reevaluating the expression, we can notice an error in the initial calculation. The expression 4(3+5)−3×92 can be simplified as 4×8−3×92. Now, we multiply 4 by 8 to get 32, and multiply 3 by 92 to get 276. The expression becomes 32−276. Performing the subtraction, we obtain -244. However, none of the given options match this result.

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We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Solve for θ :

r = 1/32 v₀² sin(2θ)

32r / v₀² = sin(2θ)

arcsin(32r / v₀²) = 2θ

⇒   θ = 1/2 arcsin(32r / v₀²)

Note that in projectile motion, we're only concerned with launch angles in the range 0 ≤ θ ≤ π/2, so there are no issues with taking inverse sines.

F(x,y,z) = (y,x,-9z) is a gradient vector field with potential function V(x,y,z) = xy.

To show that F is a gradient vector field F=∇V, we need to find a scalar function V such that ∇V=F.

Since F(x,y,z) = (y,x,-9z), we have:

∂V/∂x = y
∂V/∂y = x
∂V/∂z = -9z

Integrating the first equation with respect to x, we get:

V(x,y,z) = xy + g(y,z)

where g(y,z) is an arbitrary function of y and z.

Taking the partial derivative of V with respect to y, we have:

∂V/∂y = x + ∂g/∂y

Comparing this with the second component of F, which is x, we see that we must have:

∂g/∂y = 0

This means that g(y,z) is a function of z only, say h(z).

So we have:

V(x,y,z) = xy + h(z)

Taking the partial derivative of V with respect to z, we have:

∂V/∂z = -9z + ∂h/∂z

Comparing this with the third component of F, which is -9z, we see that we must have:

∂h/∂z = 0

This means that h(z) is a constant, say C.

So we have:

V(x,y,z) = xy + C

To satisfy the condition V(0,0,0) = 0, we must have:

0 = V(0,0,0) = C

Therefore, the function V that satisfies F=∇V is:

V(x,y,z) = xy

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Remember that

The length of the diagonal of the inscribed square is equal to two times the radius of the circle

In this problem

The radius is 2 units

therefore

The length of the diagonal is 4 units

he would have 11 kites in total, hope this helps!

Answer:

  g = 108°

Step-by-step explanation:

You want angle (g) of the isosceles triangle with base exterior angle 144°.

Let b represent the measure of a base angle of the triangle.

  b + 144° = 180° . . . the interior angle and exterior angle are supplementary

  2b +g = 180° . . . . . the interior angles of a triangle total 180°

Using the first equation to substitute for b in the second equation, we have ...

  2(180° -144°) +g = 180°

Subtracting the left-side constant gives ...

  g = 2(144°) -180° = 288° -180°

  g = 108°

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The arrangement of expressions from least to greatest is c, a and b

The given expressions are

a. 4-6

b. -4+6

c. -4-6

We need to arrange from least expression to greatest

What is Ascending Order?

The arrangement of numbers from least to greatest

Solve a, b and c expressions

a. 4-6=-2

b. -4+6=2

c. -4-6=-10

We know that -10<-2<2

Therefore the arrangement of expression from least to greatest is c, a and b

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Answer:

8000

Step-by-step explanation:

Since 8 is bigger than 5, you can increase it

7829 to the nearest ten: 7830

7829 to the nearest hundred: 7800

Hope this helps!

The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000.

To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up the tens digit.

For example round of 346 will, be350 and round of 344 will be 340

Given the digit,7829

9 → unit place

2 → tens place

8 → hundred place

7 → thousand place

In order to round to the nearest thousand we need to look at a hundred places if it is > 500 then we will round up.

Since 829 > 500 so 7829 → 8000

Hence "The value 829 > 500 thus rounding of 7829 to the nearest 1000 is 8000".

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Answer: Neither (5/2, 0)

Step-by-step explanation:

-4x + 7 = 2y - 3

+3 +3

2y = -4x + 10

(Divide both sides by 2)

y = -2x +5

—————————————————

-4x + 7 = 2(-4x + 10) - 3

-4x + 7 = -8x + 20 - 3

-4x + 7 = -8x + 17

+8x -7 +8x -7

8x - 4x = 17 - 7

4x = 10

(Divide both sides by 4)

x = 5/2

—————————————

y = -2(5/2) + 5

y = -5 + 5

y = 0

——————————

Check Work:

-4x + 7 = 2y - 3

-4(5/2) + 7 = 2(0) -3

-10 + 7 = 0 - 3

-3 = -3 ✔️

Answer:

I think its b

Step-by-step explanation:

Because since betty planted 20 pumkkin seeds you can divied 20 and 5 to get 4 and multiply 4 and 2 to get 8

Answer:

18.84 ft

Step-by-step explanation:

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius of the circle.

Since we know the circumference of the inner circle is 22 ft, we can find its radius as follows:

C = 2πr

22 = 2πr

r = 22/(2π)

r ≈ 3.5 ft

The radius of the outer circle is the sum of the radius of the inner circle and the distance between the two circles, which is 3 ft. Therefore, the radius of the outer circle is:

r = 3.5 + 3

r = 6.5 ft

The circumference of the outer circle is:

C = 2πr

C = 2π(6.5)

C ≈ 40.84 ft

The difference between the circumference of the outer circle and the circumference of the inner circle is:

40.84 - 22 = 18.84 ft

Therefore, the circumference of the outer circle is greater than the circumference of the inner circle by approximately 18.84 feet.

\(\begin{cases} x=-6\implies &x+6=0\\\\ x=1\implies &x-1=0\\\\ x=6\implies &x-6=0 \end{cases} \\\\\\ (x+6)(x-1)(x-6)=\stackrel{y}{0}\implies {\LARGE \begin{array}{llll} x^3-x^2-36x+36=y \end{array}}\)

Answer:

The combined average of Altuve's weighted averages is 1 for 2 or 1/2

Step-by-step explanation:

Combined Average

On Friday, Altuve had 3 out of 5 successes

On Saturday, Altuve had 2 out of 4 successes

On Friday, Altuve had 1 out of 3 successes

The total successes are 3+2+1=6

The total tries are 5+4+3=12

The combined average is:

\(\displaystyle \bar x=\frac{6}{12}\)

Simplifying:

\(\displaystyle \bar x=\frac{1}{2}\)

The combined average of Altuve's weighted averages is 1 for 2 or 1/2

Answer:

x=20 y=34

Step-by-step explanation:

x+14=2x-6

x=20

(20)+14=y

y=34

Answer:

10

Step-by-step explanation:

The diameter would be 10 because since the radius is 5, just multiply it by 2 and you get 10.

Answer:

yes the person below is right it is 22 you just multply and add

Step-by-step explanation:

1‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answer:

15,441,524,141,524,115,374,747,475,242,497,297,539,801,907,864,649,469,579,152,621,379,712,290,971,009,517,541,636,763,930,502,308,064,183,334,245 apples left.

Step-by-step explanation:

Subtract how many apples he gave his sister from his original amount.

Hope this helps!