A production manager at a wall clock company wants to test their new wall clocks. The designer claims they have a mean life of 16 years with a standard deviation of 5 years. If the claim is true, in a sample of 32 wall clocks, what is the probability that the mean clock life would be greater than 15.6 years

Answer:

A ≈ 102.56

Step-by-step explanation:

The quantity decays continuously at a rate of 0.75% per day, which means that the amount of the quantity remaining after a certain number of days can be calculated using the formula:

A = A0 * e^(-rt)

where:

A0 is the initial value of the quantity

r is the decay rate (expressed as a decimal)

t is the number of days

e is the mathematical constant e (approximately equal to 2.71828)

A is the value of the quantity after t days

Substituting the given values, we get:

A = 170 * e^(-0.0075 * 56)

Using a calculator, we get:

A ≈ 102.56

Therefore, the value of the quantity after 56 days, rounded to the nearest hundredth, is approximately 102.56.

The median rainfall for the two-weeks period was 0.25.

To determine the median amount of rainfall simply means to determine the rainfall amount that falls within the middle range. To do this, we arrange the daily rainfall from smallest to highest and this gives us:

0, 0, 0, 0, 0, 0, 0.25, 0.25, 0,5, 0.75, 1, 1, 1.5, 1.5

In total, there are 14 measurements. The two middle numbers are 0.25 and 0.25. Now, we sum these two numbers and divide by 2.

0.5/2 = 0.25

So, the median amount of rainfall is 0.25.

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Answer:

I think the answer is 40.

Step-by-step explanation:

$3 = initial fee; 0.55 = each additional mile

25 - 3 = 22 = (how much money he has left)

22 ÷ 0.55 = 40 = how many miles he can drive

Answer:

here is my answer

Step-by-step explanation:

hope this helps

and it is c :)

please mark me brainliest!

Answer:

y = 5x + 1

Step-by-step explanation:

Given the coordinate points (0,1) and (5,0)

First, get the slope

Slope m =(0-1)/5-0

m = -1/5

Since the required line is perpendicular, then the required slope is;

M = -1/(-1/5)

M = 5

Since 1the y intecept id (0,1) i.e. 1

Required equation is y = mx+b

y = 5x + 1

This gives the required equation

Note that the coordinate (0,1) was used instead os (0,0)

Step-by-step explanation:

If x is the number of hours, then:

48 = 10x + 7

41 = 10x

x = 4.1

The domain of the quadratic function in this problem is given as follows:

All real values.

The domain of a function is the set of all the possible input values that can be assumed by the function.

On the graph, the domain of the function is given by the values of x of the function.

A quadratic function has no restrictions on the domain, hence it is defined by all the real values.

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Answer:

b + 32 = 76

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

expressions dont have answers

Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

The required, general solution for x that satisfies the equation cos(x + 30) = -1 is x = (2n + 1)π - 30.

To find the general solution for the equation cos(x + 30) = -1, we can start by considering the general form of the cosine function. The cosine function has a period of 2π, meaning it repeats every 2π radians.

In this equation, we have cos(x + 30) = -1. Since the cosine function has a maximum value of 1 and a minimum value of -1, the only way for cos(x + 30) to equal -1 is if x + 30 is an odd multiple of π. We can write this as:

x + 30 = (2n + 1)π

Here, n is an integer representing the number of periods of the cosine function. To find the general solution, we can solve for x by subtracting 30 from both sides:

x = (2n + 1)π - 30

This equation gives us the general solution for x that satisfies the equation cos(x + 30) = -1. We can see that for each integer value of n, we have a different solution.

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Answer:

give me more instructions so i can actually help

Step-by-step explanation:

Answer:

C. Critical values: r = +0.396

Step-by-step explanation:

Hello!

A linear correlation for two variables X₁ and X₂ was calculated.

For a sample n= 25 the sample correlation coefficient is r= 0.767.

Be the hypotheses:

H₀: ρ = 0

H₁: ρ ≠ 0

α: 0.05

For this hypothesis test, the rejection region is two-tailed, and the degrees of freedom are Df= n-2= 25-2= 23

So using the Pearson product-moment correlation coefficient table of critical values, under the entry for "two tailed tests" you have to cross the level of significance and the degrees of freedom to find the corresponding critical value:

\(r_{n-2;\alpha }= r_{23;0.05}= 0.396\)

Since the calculated correlation coefficient is greater than the critical value, you can reject the null hypothesis, this means that the correlation is significant at level 5%

I hope this helps!

Answer:

Step-by-step explanation: 6.140

Answer:

None,

they are all correct.

Step-by-step explanation:

A)

3/4 - 75%

4/5 - 80%

3/4 < 4/5

B)

5 ÷ 6 = .83333333333

5/6 > .83

C)

2 ÷ 3 = .666666666

2/3 > .66

D)

1 ÷ 3 = .33333333333

1/3 > .3

Thus,

all of the given statements are correct.

Hope this helps :)

Answer:

4%

Step-by-step explanation:

13.60/340=.04 or 4%

Answer:

Q = 25.5 kcal

Step-by-step explanation:

Remember:

Q = mcΔT

Q = heat (kcal)

m = mass of water (kg)

c = specific heat of water (kcal/(kg°C))

ΔT = change in temperature (°C)

Given:

m = 5.1 kg

c = 1 kcal/(kg°C)

ΔT = 27°C - 22°C = 5°C

Therefore:

Q = mcΔT

Q = (5.1)(1)(5)

Q = (5.1)(5)

Q = 25.5 kcal

The quadratic equation in standard form can be written as:

y = x² - 10

Remember that for a quadratic equation whose solutions are x₁ and x₂, the quadratic can be written as:

y = (x - x₁)*(x - x₂)

Here the solutions are:

x = √10

x = -√10

Then we can write:

y = (x+  √10)*(x - √10)

Expanding that we will get:

y = x² + √10x - √10x + √10*-√10

y = x² - 10

That is the quadratic.

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Answer:

,$456 paid in her account after 6 year

Answer:

17

Step-by-step explanation:

∠CDE is a 90 degree's, and it splits, because ∠CZB said that it is 39 degrees, thus meaning that the degree of ∠BZD=51, and x=17, because 17*3=51.

I know this will be helpful to you  

Answer:

i don't know i am ayush

kal

ajakka

kakka

The amount of work done is Option A) 12 N/m

Work done is simply defined as the product of the magnitude of displacement, (d) and the component of the force that in the direction of displacement.

It measures energy transfer that occurs when an object is moved to a distance by an external force which is applied in the direction of the displacement.

Work done on a body is equivalent  to the increase in the energy of the body, because it transfers energy to the body.

The formula for work done is;

W = fd

Where, 'f' is the applied force and d is the distance

Substitute the values

Work done = 6(2)

Work done = 12 N/m

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Answer:

d = 5 is a solution to the equation 13 - d = 8

Step-by-step explanation:

We have to solve 13 - d = 8

Now,

13 - d = 8,

We add d on both sides,

13 - d + d = 8 + d

13 = 8 + d

we subtract 8 from both sides,

13 - 8 = 8 - 8 + d

5 = d

d = 5

Hence the answer is 5

The resale value of the car after four years is $4820

The given parameters are:

initial value, a = $27,000

Rate, r = 35%

The value of the car each year is represented as:

Value = a *(1 - r)^t

So, we have:

Value = 27000 *(1 - 35%)^t

After four years, we have:

Value = 27000 *(1 - 35%)^4

Evaluate

Value = 4820

Hence, the resale value of the car after four years is $4820

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The equation of the line parallel to the line  7x - 4y = - 5 and passing through (16, - 4) is y = (7/4)x - 32.

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

We know lines parallel to each other have the same slope which is

7x - 4y = - 5 ⇒ - 4y = - 7x - 5 ⇒ y = (7/4)x + (5/4) to our required line will also have the same slope passing through the point  (16, - 4).

Therefore, - 4 = 16(7/4) + b.

- 4 = 28 + b.

b = - 32.

Therefore, y = (7/4)x - 32 is the required line.

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Suppose a sector of a circle with radius \(r\) has a central angle of \(\theta\). Since a sector is a fraction of a full circle, the ratio of a sector's area A to the circle's area is equal to the ratio of a central angle to the measure of a full rotation of the circle. A full rotation of a circle is \(2\pi\) radians. This proportion can be written as \(\boxed{\frac{A}{\pi r^{2}}=\frac{\theta}{2\pi}}\). Multiply both sides by \(\pi r^2\) and simplify to get \(\boxed{A=\frac{\theta}{2} r^{2}}\), where \(\theta\) is the central angle of the sector and r is the radius of the circle.