What is the nearest degree to ABC

a.The probability that a randomly selected watch will be in working condition for more than five years is approximately 6.68%. b.Approximately 93.32% of the watches will be in operating condition after the warranty period. c. The maximum life expectancy of the middle 95% of the watches is approxiamately 63.68 months. d.The range of the middle 95% of the watches is from 32.32 months to 63.68 months. The range represents 95% of the watches, it means that 5%.

a. To find the probability that a randomly selected watch will be in working condition for more than five years, we need to convert the time to the same unit as the distribution. Since the mean is given in years and the standard deviation is given in months,

we need to convert five years to months.

Mean = 4 years = 4 x 12 months = 48 months

Standard deviation = 8 months

To calculate the probability, we need to find the area under the normal distribution curve to the right of 60 months (5 years).

Using a standard normal distribution table or a calculator, we can find the z-score corresponding to 60 months:

z = (x - μ) / σ

z = (60 - 48) / 8 = 12 / 8 = 1.5

The probability can be found by looking up the z-score in the standard normal distribution table or using a calculator. From the table or calculator, we find that the probability is approximately 0.0668, or 6.68%.

b. The warranty period for Timely brand watches is three years. To find the percentage of watches that will be in operating condition after the warranty period, we need to find the probability that a randomly selected watch will last longer than three years.

We need to convert three years to months:

Warranty period = 3 years = 3 x 12 months = 36 months

We calculate the z-score:

z = (x - μ) / σ

z = (36 - 48) / 8 = -12 / 8 = -1.5

Using the standard normal distribution table or a calculator, we find the area to the left of -1.5 is approximately 0.0668. The probability that a randomly selected watch will not last longer than three years is approximately 0.0668.

To find the percentage of watches that will be in operating condition after the warranty period, we subtract this probability from 1 (since we want the complementary probability):

Percentage = 1 - 0.0668 = 0.9332 = 93.32%

c. The middle 95% of the watches represents the range within which 95% of the watches' life expectancy falls. To find the minimum and maximum life expectancy of this range, we need to determine the z-scores that correspond to the cumulative probability of 0.025 and 0.975.

For the minimum life expectancy (lower bound), we look up the z-score that corresponds to a cumulative probability of 0.025. This z-score is approximately -1.96.

z = -1.96

Using the z-score formula, we can find the corresponding value in months:

x = μ + (z x σ)

x = 48 + (-1.96 * 8) = 48 - 15.68 = 32.32

The minimum life expectancy of the middle 95% of the watches is approximately 32.32 months.

For the maximum life expectancy (upper bound), we look up the z-score that corresponds to a cumulative probability of 0.975. This z-score is also approximately 1.96.

z = 1.96

Using the z-score formula, we can find the corresponding value in months:

x = μ + (z x σ)

x = 48 + (1.96 x 8) = 48 + 15.68 = 63.68

d. Ninety-five percent of the watches refer to the range between the 2.5th and 97.5th percentiles. We already calculated the z-scores corresponding to these percentiles in part c: -1.96 and 1.96.

To find the range in months,

we convert the z-scores back:

\(x_{1}\)= μ +\(z_{1}\) x σ = 48 + (-1.96) x 8 = 32.32 months,

and \(x_{2}\)= μ + \(z_{2}\) x σ

= 48 + 1.96 x 8

= 63.68 months.

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Answer:

42

81

91

Step-by-step explanation:

m = mystery

f = fantasy

\(\frac{m}{f}\) = \(\frac{m}{f}\)

Compare the ratio with the actual numbers.  Solve for the missing number

\(\frac{7}{9}\) = \(\frac{m}{54}\)  you need to multiply 9 by 6 to get 54 so multiply 7 x 6 to get 42.

\(\frac{7}{9}\) = \(\frac{63}{f}\)  Multiply 7 x 9 to get 63,so multiply 9 by 9 to get 81.

\(\frac{7}{9}\) = \(\frac{m}{117}\)  9 x 13 is 117, so multiply 7 by 13 to get 91.

Answer:

area is given base is given so area of parallelogram =b x h

or 72=13 x h

or h =72/13=5.5 units

Answer:12

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

let x represent the equally priced bracelets of which there are 4 , so 4x

We know she spent $64 on rings and a total of $200 was spent , then

64 + 4x = 200 ← represents the situation

x represents the cost of a bracelet

Answer:

c

Step-by-step explanation:

the total amount paid at the jewelry is 200

64 was spent on rings

the rest amount of money was spent on 4 bracelets

let the price of one bracelet be x

200=4(x)+64

200=4x+64

The cost of each pen is $25. This can be solved using unitary method.

In the unitary technique, the value of a single unit is determined first, and then the value of the required number of units is determined.

When employing ratio and proportion to solve a problem, it is essential to comprehend the units and values.

To make things simpler, always place the known facts on the left and the things that need to be calculated on the right. The number of apples in the aforementioned situation is known, but it is unclear how much the fruit is worth on the market.

It should be stressed that the unitary technique applies the notions of ratio and proportion to problems.

Let the cost of each pen be x .

then according to the question, the cost of book will be x-10

now

90 = 3x + x - 10

x = 25

hence the cost of the book is x - 10 = 15

and the cost of each pen is 25

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Answer:

distance: 11

there are 11 points between 12 and 23, they are:

12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 and 23.

Step-by-step explanation:

Answer: cube root(64) = 4

This problem can be solved using a simulation approach.

Here is the python code for the given question:

#include

#include

#include

#include

#include

#define int long long

#define N 200005

#define re register

intusing namespace std;

inline int read(){    re s=0,f=0;    

char ch = getchar();    

while (ch<'0'||ch>'9')    {        if(ch=='-')        f=1;        

ch = getchar();    }    

while (ch>='0'&&ch<='9')    s=(s<<3)+(s<<1)+(ch^48),ch=getchar();    

if(f)    return -s;    return s;}

int n,k,a[N],head,tail,ans;

struct node{    int id,val;}q[N],w[N];

inline bool cmp(node x,node y)

{return x.val>y.val;}

signed main()

{    n=read();k=read();for(re i=1;i<=n;++i)    

{        a[i]=read();        q[i]=(node){i,a[i]};    }    

sort(q+1,q+1+n,cmp);

for(re i=1;i<=n;++i)    if(q[i].id==1)    head=i;    

else if(q[i].id==2)    tail=i;

while(1)

{    re flg=1;    if(w[tail-1].val>=w[tail].val&&tail>=2)    

{        w[tail-1]=w[tail];        tail--;        flg=0;    }

if(w[head+1].val>=w[head].val&&head<=n-1)    

{        w[head+1]=w[head];        head++;        flg=0;    }    

if(flg)    

{        w[++tail]=q[++ans];        if(w[tail].id==1)        head=tail;        

if(tail-head+1==k)        

break;    }    

sort(w+head,w+tail+1,cmp);}

printf("%lld\n",w[tail].val);    

return 0;}

This problem can be solved using a simulation approach.

At each step, we need to determine which player wins the game, and accordingly, we need to update the queue of players.

We need to continue the simulation until one player wins k consecutive games.

Once we have determined the winner, we need to output the power of the winning player.

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The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.

The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.

The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.

The area of the circular pond is given as 3x²-4x+5 square yards.

So, the area of the gray region is:

(20x-12) - (3x²-4x+5)

= 20x-12 - 3x²+4x-5

= 3x²+10x-17

Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.

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If the pth term of an arithmetic progression is q and qth term is p then the (p+q) th term is 0.

Given that the p th term of an A.P is q aand q th term is p.

We are required to find the (p+q) th term of that A.P.

Arithmetic progression is a sequence in which all the terms have common difference between them.

N th term of an A.P.=a+(n-1)d

p th term=a+(p-1)d

q=a+(p-1)d-------1

q th term=a+(q-1)d

p=a+(q-1)d---------2

Subtract equation 2 by 1.

q-p==a+(p-1)d-a-(q-1)d

q-p=pd-qd-d+d

q-p=d(p-q)

d=(p-q)/(q-p)

d=-(p-q)/(p-q)

d=-1

Put the value of d in 1.

q=a+(p-1)(-1)

q=a-p+1

a=q+p-1

(p+q) th term=a+(n-1)d

=q+p-1+(p+q-1)(-1)

=q+p-1-p-q+1

=0

Hence if the pth term of an A.P is q and qth term is p then the (p+q) th term is 0.

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The answer to your question is that the only way to demonstrate causation is to conduct a controlled experiment. This domain involves manipulating one variable and measuring the effect it has on another variable while holding all other variables constant.

correlation simply shows a relationship between two variables, but it doesn't prove that one variable causes the other. There could be other factors at play that are influencing both variables. For example, there may be a correlation between ice cream sales and crime rates, but this doesn't mean that ice cream causes crime or vice versa. It's possible that a third variable, such as temperature, is influencing both ice cream sales and crime rates.

further into the complexities of establishing causation, such as the need for random assignment in experimental studies, the importance of replicating findings, and the challenges of applying experimental findings to real-world situations. However, the key point is that a controlled experiment is the most reliable method for establishing a causal relationship between variables.

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The maximum value of the objective function will be:50(100) + 50(20) = 5000 + 1000 = 6000

The given linear programming is:Max 50A + 50Bs.t.10A ≤ 100010B ≤ 80020A + 40B ≤ 4000A, B ≥ 0 To solve the linear programming using the solver follow these steps:Step 1: Open the Excel spreadsheet and go to Data, choose the solver and enable it.

Step 2: A Solver Parameters dialog box will appear. Input the necessary details as follows:Set Objective: 50A + 50BTo: Max Subject to constraints:

10A ≤ 100010B ≤ 80020A + 40B ≤ 4000

Select variables to change: A, BStep 3: Click Solve and the optimal value of A and B will be found.In this case, the optimal value of A is 100 and that of B is 20.

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The algebraic representation of the reflection in the image is the one in option A.

(x, y) → (-x, y)

Here we have an image with two moons, such that one is the reflection of the other.

Notice that the reflection is across the vertical axis (it is the y-axis). So the y-values don't change after the reflection, only the x-values change.

So we will have a change of sign on the x-value, then the reflection must be written as:

(x, y) → (-x, y)

In this way we can conclude that the correct option is A.

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The water level is rising at a rate of approximately 0.017 inches per second when the water is 5 inches deep.

Let's start with the formula for the volume of a cone.V= 1/3πr²h

Here, h is the height of the water level at a given time. We are given that water is flowing in at a rate of 26 cubic inches per second. Therefore, we can calculate the rate of change of volume as dV/dt = 26.The tank stands point down, which means that the apex of the cone is at the bottom and the base is at the top. The height of the tank is 11 inches, so when the water level is 5 inches deep, the remaining height of the tank that is empty is 11 - 5 = 6 inches.The radius of the tank at the base is 7 inches, which means that the radius of the top of the water level is proportional to the height of the water level. Therefore, the radius of the top of the water level when the water level is 5 inches deep is: r = (5/11) x 7 = 3.18 inches.Now we can use the formula for the volume of a cone to find the volume of water in the tank when the water level is 5 inches deep.

V= 1/3πr²h= 1/3 x π x (3.18)² x 5= 53.4 cubic inches

Now we can find the rate of change of height with respect to time using the formula

dV/dt = A dh/dt, where A is the area of the base of the tank.

A = πr² = π(7)² = 49π square inches.

Therefore, we have:

26 = 49π dh/dt

dh/dt = 26 / (49π)

dh/dt ≈ 0.017

The water level is rising at a rate of approximately 0.017 inches per second when the water is 5 inches deep.

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Answer:

She needs to make 10 rows of chairs

Hope this helps!!

The size of angle DCA is 480°.

In the given figure, ABCD is a rhombus with angle ABE as a straight line and BCE as an isosceles triangle. We are asked to find the measure of angle DCA.

Since ABCD is a rhombus, opposite angles are congruent. Therefore, angle ACD is equal to angle ABC.

Since BCE is an isosceles triangle, angle BEC is equal to angle BCE.

From the given information, we know that angle ABC + angle BCE + angle ECD = 180 degrees.

Let's denote the measure of angle BCE as "x." Therefore, angle ABC is also "x."

Substituting these values into the equation, we have:

x + x + angle ECD = 180

2x + angle ECD = 180

Since angle ECD is denoted as 480 degrees in the question, we can solve for "x" as follows:

2x + 480 = 180

2x = 180 - 480

2x = -300

x = -150

However, angles cannot have negative measures. Therefore, there is no valid measure for angle DCA given the information provided.

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Answer:

5 3/4:3 1/15

23/4:46/15

doing crisscrossed multiplication

23×15:46×4

345:184

15:8 is your answer.

Answer:

The answer to the question provided is 14.

Step-by-step explanation:

》The Distance Formula:

\( d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } \)

》Plug in.

\(d = \sqrt{( - 5 - 9)^{2} + (3 - 3) ^{2} } \\ d = \sqrt{( - 14)^{2} + (0) ^{2} } \\ d = \sqrt{196 + 0} \\ d = \sqrt{196} \\ d = 14\)

Answer:

8

Step-by-step explanation:

Given hotel bill = ₹4800

Let initially, number of people = \(x\)

Initial Bill of each person = Hotel bill divided by number of people = \(\frac{4800}{x}\)

4 people are added to the hotel stay.

i.e. new number of people = \(x+4\)

New bill becomes ₹200 less for each person.

New bill for each person = \(\frac{4800}{x}\) - 200

Hotel bill remains the same i.e. ₹4800 = New bill for each person multiplied by new number of people.

\(4800 = (\dfrac{4800}{x}-200) (x+4)\\\Rightarrow 4800 = \dfrac{4800}{x}\times x -200\times x + \dfrac{4800}{x}\times 4 - 200\times 4\\\Rightarrow 4800 = 4800 -200 x + \dfrac{4800}{x}\times 4 - 800 \\\Rightarrow 800 = -200x+\dfrac{19200}{x}\\\Rightarrow 4 = -x+\dfrac{96}{x}\\\Rightarrow x^2+4x-96=0 \\\Rightarrow x^2+12x-8x-96=0\\\Rightarrow x(x+12)-8(x+12)=0\\\Rightarrow \bold{x = 8}, x= -12\ not\ possible\)

Answer:

301.440 mi²

Step-by-step explanation:

Surface area of a cylinder = 2πrh + 2πr²

Where,

Radius, r = 6 mi

Height, h = 2 mi

Surface area of a cylinder = 2πrh + 2πr²

= (2 * 3.14 * 6 * 2) + (2 * 3.14 * 6²)

= 75.36 + (6.28 * 36)

= 75.36 + 226.08

= 301.44 mi²

To the nearest thousandth

Surface area of a cylinder = 301.440 mi²

The shop should build 275 bicycles to minimize the average cost per​ bicycle

Function is a type of relation, or rule, that maps one input to specific single output.

We are given the average cost per bicycle as the function;

C(x) = 0.2x² - 1.1x + 10.592

We need to solve this by finding the derivative of the C(x) function which will give us the instantaneous slope.

Thus, derivative of C(x) will be;

C'(x) = 0.4x - 1.1

Equating to zero, we can find the extremas.

Thus we have;

0.4x - 1.1 = 0

x = 1.1/0.4

x = 2.75

To check if this is minimum of maximum, we need to find the second derivative of C(x)

Thus we have;

C''(x) = 0.4

Thus is a positive value, which means the critical point is a minimum.

Thus, X = 2.75

We were given that x is in hundreds of bicycles.

Thus, X = 2.75 × 100 = 275 bikes

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\(x \times 0.25 = y\)

have an amazing day <3

Answer:

x*.25=y?

Step-by-step explanation:

It has a median value of 2. The absolute deviations about 2 are 1, 1, 0, 0, 2, 4, 7 which in turn have a median value of 1.

The median is the value that divides a data sample, a population, or a probability distribution's upper and lower halves in statistics and probability theory. It might be referred to as "the middle" value for a data collection. The value that, when a dataset is arranged, falls exactly in the center is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.

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Answer:

46

Step-by-step explanation:

Angle Formed Outside = 1/2(Difference of Intercepted Arcs)

The arcs are 226 and (360 -226 =134)

y = 1/2 ( 226 - 134)

y = 1/2( 92)

y =46

Answer:

$5.5 per mile

40 miles

Step-by-step explanation:

Given :

Fixed cost = $10

Variable cost = $3

For a journey of 4 miles ;

Cost = fixed cost + Variable Cost

Cost = $10 + $3x

x = number of miles

Cost = $10 + $3(4)

Cost = $10 + $12 = $22

Average cost per mile for a journey of 4 miles

Cost / number of miles

$22 / 4 = $5.5 per mile

Minimum distance if average per mile is to be less Than 3.25

$3.25 = (10 + 3x) / x

3.25x = 10 + 3x

3.25x - 3x = 10

0.25x = 10

x = 10 / 0.25

x = 40 miles

someone who orders a product through a catalog is responding to Direct marketing.

The act of presenting an offer directly to a target client and providing them with a way to respond immediately is known as direct marketing. It is sometimes referred to as direct response marketing among practitioners. Advertising, in contrast, is a form of mass messaging.

Any form of marketing that communicates or distributes to consumers directly, as opposed to through a third party, is considered direct marketing.

Businesses employ the catalog marketing strategy to combine a variety of products in a single printed piece or online store in the hopes that the recipient would purchase at least one item. Using the information in the catalog, customers make direct purchases from the catalog sender through phone, return mail, or online.

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im late but

B. (-2)(4)

have a good day <3

The statement "Consistent system of equations has at least one solution, and an inconsistent system has no solution" is true.

In the context of systems of linear equations, a consistent system refers to a system where there exists at least one solution that satisfies all the equations in the system. This means that the equations can be simultaneously satisfied by a set of values for the variables.

On the other hand, an inconsistent system refers to a system of equations that has no solution. This occurs when the equations are contradictory or cannot be satisfied simultaneously by any values for the variables.

Therefore, a consistent system guarantees the existence of at least one solution, while an inconsistent system does not have any solution.

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Answer:

D -0.69

Step-by-step explanation:

Divided 20 and 29 :)

Answer:(x+3)=2x

Step-by-step explanation: