What is the diameter if the circumference is 11.27

The probability that all three ATMs are working when the mall opens, given that at least one ATM is working, is 0.25 or 25%.

To find the likelihood that every one of the three ATMs are working when the shopping center opens, considering that no less than one ATM is working, we want to utilize contingent likelihood.

Let A be the occasion that every one of the three ATMs are working, and allow B to be the occasion that no less than one ATM is working.

We need to track down P(A|B), the likelihood that A happens given that B happens. By Bayes' hypothesis, we have:

P(A|B) = P(B|A) * P(A)/P(B)

We know that P(A) is the likelihood that every one of the three ATMs are working, which is given in the table as 0.25. We additionally know that P(B) is the likelihood that somewhere around one ATM is working, which is 1 - P(none working) = 1 - 0.15 = 0.85.

To track down P(B|A), the likelihood that no less than one ATM is working given that every one of the three are working, we can utilize the way that the likelihood of none working is 0.15, so the likelihood of no less than one working is 1 - 0.15 = 0.85. In this way, P(B|A) = 0.85.

Assembling everything, we have:

P(A|B) = P(B|A) * P(A)/P(B)

= 0.85 * 0.25/0.85

= 0.25

Hence, the likelihood that each of the three ATMs are working when the shopping center opens, considering that no less than one ATM is working, is 0.25 or 25%.

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Answer:

\(y=18\)

Step-by-step explanation:

\(y=x4-3x+18\)

\(y=(0)4-3(0)+18\)

\(y=0-0+18\)

\(y=18\)

Hope this helps

Answer:

The critical value Za /2 that corresponds to 98% confidence level is (d) 2.33

Step-by-step explanation:

To obtain the critical value Za/2 that corresponds to a 98% confidence level, we need to determine the value that leaves 2% (0.02) in the tails of the distribution.

Since the confidence level is two-tailed, we need to divide the significance level by 2 to find the area in each tail. In this case, we have 2% divided by 2, resulting in 1% (0.01) in each tail.

Looking up the critical value in a standard normal distribution table or using statistical software, we obtain that the closest value to 0.01 in the table is approximately 2.33.

Therefore, the correct answer is D. 2.33.

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The equation which can be used to find the amount of time Hiroshi spends on his math homework is 1/4(x + 30 + 60) = x

According to the question,

Let total time Hiroshi spent on his homework be "y"

Total time spent on history homework = 30 minutes

Total time spent on English homework = 60 minutes

It is given that the time spent on math homework is x

and Also that One fourth of his total homework time is spent on math

=> x = 1/4y

=> 4x = y ----------(1)

Also , Sum of time taken in different homework will be equal total time y

=> 30 + 60 + x = y --------(2)

Substituting the values of x from equation (1) in equation (2)

=> 30 + 60 + x = 4x

divide by 4

=> 1/4(x + 30 + 60) = x is equation

=> x + 30 + 60 = 4x

=> 3x = 90

=> x = 90/3

=> x = 30 minutes

Total time taken in doing homework is 120 minutes

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The limit of the given expression exists and is equal to 1 + [1 + √(5)]/2.

To solve this problem, we can't simply substitute 1 into the expression because that would result in an undefined expression (division by zero). Instead, we have to use the concept of limits.

First, we can simplify the expression by factoring the numerator using the quadratic formula: (x² - x - 1) = (x - [1 + √(5)]/2)(x - [1 - √(5)]/2). Then, we can cancel out the (x-1) factor in both the numerator and denominator.

After simplification, we get the expression (x + [1 + √(5)]/2), which is a continuous function. Since the function is continuous at x = 1, we can substitute x = 1 into the expression to find the limit.

Therefore, the limit as x approaches 1 of (x² - x - 1)/(x - 1) exists and is equal to 1 + [1 + √(5)]/2.

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The approximate volume of the cylinderical tube is 1005 cm³  round to the nearest whole cubic centimeter.

Volume of cylinder is the amount of quantity, which is obtained by the bylinder in the 3 dimensional space.

Volume of cylinder is the can be given as,

\(V=\pi r^2h\)

Here, (r) is the radius of the base of the cylinder and (h) is the height of the cylinder.

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift.

The diameter is 8 cm and the radius of a cylinder is half of its radius. Thus the radius of the cylinder is,

\(r=\dfrac{8}{2}\\r=4\rm\; cm\)

Put the values in the above formula a,s

\(V=\pi (4)^2(20)\\V=320\pi\\V=1005.31\\V=\approx 1005\rm\;cm^3\)

The approximate volume of the cylinderical tube is 1005 cm³  round to the nearest whole cubic centimeter.

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Answer:

2

Step-by-step explanation:

Plant A has a median of 3

Plant B had a median of 5

The median is the last number(s) left when you put them from least to greatest and cross them off.

Answer:

2 cos (x + pi/2)

Step-by-step explanation:

Of the choices given, this looks like a cos curve that is shifted to the Left by pi / 2  and   multiplied to give an amplitude of 2

Answer:

there are two answers to this question

1; X=2

and

2;X=+1

Step-by-step explanation:

open the first brackets with an invisible +1

x-1=0

x=0+1

X=+1

open the second bracket with the plus +

x-2=0

X=0+2

X=+2

hence,

X=+1 and +2

Sample of test statistic is 2.080 and p-value is 0.082.

From the given information,

α = 0.01;

H₀ : μ = 0

H₁ : μ ≠ 0.

Student's t,

d.f. = 6

d = 0.371

t = 2.08

0.050 < p-value < 0.100

on t graph, shade area to the left of -2.08 and to the right of 2.08.

From TI-84, p-value = 0.0823.

P-value interval > 0.01 for α; fail to reject H₀.

At the 5% level of significance, the sample data do not support the claim that the average HC for this patient is higher than 14.

The P-value means the probability, for a given statistical model that, when the null hypothesis is true, the statistical summary would be equal to or more extreme than the actual observed results.

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Answer:

The correct option is the first one:

sec A = 1.3055, s

Answer:

Step-by-step explanation:

We can say that let the total amount be represented by y

and let the number of months be x

given that he already had an amount of $200 already and he hopes to save $50 monthly

We can model his balance as

y=200+50x

also given tha x=24

put x= 24 in the expression for the total amount we have

y=200+50(24)

y=200+1200

y=1400

The measure of angle x is 70°.

Here we have the image of some triangles, and we want to find the value of the interior angle x in the left triangle.

What you need to remember here is that the sum of the interior angles of any triangle is always equal to 180°.

Then, for the left triangle, we can write:

30° + 80° + x° = 180°

Now we can solve that equation for x, then we will get:

x° = 180° - 80° - 30°

x = 70°

That is the measure of angle x.

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Answer:

It is Option D. 120 x^3 y^7

Option D is correct i.e. the eighth term of the given expansion is \(120x^{3} y^{7}\).

The Binomial Theorem is the method of expanding an expression that has been raised to any finite power.

A binomial expression is an algebraic expression that contains two dissimilar terms .

\(T_{r+1} =nC_{r} x^{n-r} y^{r}\)

According to the given question

We have,

The binomial expansion \((x+y)^{10}\)

Therefore,

The eighth term of the given binomial expansion is given by

\(T_{7+1} = 10C_7x^{10-7} y^{7} \\T_{8} = \frac{10!}{7!3!} x^{3} y^{7}\)

\(T_{8} = \frac{(10)(9)(8)(7!)}{7!(3)(2)(1)} x^{3} y^{7}\)

\(T_{8} = 120x^{3} y^{7}\)

Hence, option D is correct. i.e. the eighth term of the given expansion is \(120x^{3}y^{7}\).

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Answer:

-3

Step-by-step explanation:

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer: x=pi/8+npi    and x=5pi/8+npi

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

BODMAS Rule : Brackets, Order, Division, Multiplication, Addition, Subtraction

2-1x2 = 0

-2x3+4 = -2

Answer:

126 meters squared

Step-by-step explanation:

To find the surface area

For the top and bottom it will be: l x w x 2(because there's a top and bottom)

3x6x2 = 36

For the sides (left and right) it will be: l x h x 2 (There's left and right)

3x5x2 = 30

For the front and back it will be w x h  x 2 (There's the front and the back)

6x5x2 = 60

Added it all together and you get 126

The surface area is 126 meters squared



To calculate the heteroskedastic robust estimator of the variance of beta 1 in a regression model, we need to use the White estimator of the variance-covariance matrix.

The White estimator is given by:

V(β) = (X'WX)^(-1)X'WΩWX(X'WX)^(-1)

where V(β) is the variance-covariance matrix of the estimated coefficients, X is the design matrix, W is the diagonal matrix of weights, and Ω is the matrix of residuals squared (residuals are the differences between the actual and predicted values of the dependent variable).

For the variance of beta 1, we are interested in the (1,1) element of the V(β) matrix. Therefore, the formula for the heteroskedastic robust estimator of the variance of beta 1 is:

Var(β1) = (X'WX)^(-1)X'WΩWX(X'WX)^(-1)

where (1,1) denotes the (1,1) element of the matrix.

Note that the White estimator is robust to heteroskedasticity in the errors of the regression model.

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Answer:

2 is the factor of polynomial

(x+5)(x+2)(x-3) is the factored form of the polynomial with zeros x=-5, x=-2 and x=3

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

zeros of the polynomial are located at

x=-5,x=-2 and x = 3.

The polynomial is of the form P(x)=(x-a)(x-b)(x-c)

Let a=-5, b=-2 and c=3

P(x)=(x-(-5))(x-(-2))(x-3)

P(x)=(x+5)(x+2)(x-3)

(x+5)(x+2)(x-3) is the factored form of the polynomial with zeros x=-5, x=-2 and x=3

Hence (x+5)(x+2)(x-3) is the factored form of the polynomial with zeros x=-5, x=-2 and x=3

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Answer:

AB/ZX and CB/YX and AC/ZY

Step-by-step explanation:

Hope this helps :)

Answer:

3.00

Step-by-step explanation:

irs 3.00 iiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

xz=255

Step-by-step explanation:

17 is prime so yz has to be 1*17

if that's the case xy=15*1

so 15*17=255

Answer:

3. 72= (x)+(x+1)+(x+2) where x= the smallest number

72=3x+3

-3        -3

69=3x

/3   /3

x=23

x+1=24

x+2=25

smallest is 23

4. 48= (x)+(x+2)+(x+4)

48= 3x+6

-6        -6

42=3x

/3    /3

x=14

x+2=16

x+4=18

smallest is 14

5. all erasers were the same cost

25= 4x+5 (x= cost of erasers)

-5         -5

20=4x

/4   /4

x=5

each cost  $5

6. b= boxes

22= b/2 +7

-7            -7

15=b/2

multiply both sides by 2 to cancel the denominator

30=b

30 boxes originally

7. 40= total

8= left

2= balls given to each

x=number of friends

40= 2x+8

-8         -8

32=2x

/2   /2

x=16

she has 16 friends

8.  12= left

a= total allowance

12= (a/2) +4

-4            -4

8= a/2

multiply both sides by 2 to cancel the denominator

a= $16

she had an allowance of $16

9.  4 (2) = amount that her four children recieved

10=amount she took for herself

x= original

x= 4(2) + 10

x= 8 +10

x=18

she started with 18 candies

10. a= age

244= 400 - 2a

-400 -400

-156= -2a

/-2     /-2

a= 78

they are 78 years old

11. c= comic books

36=  c/2 + 16

-16           -16

20=c/2

multiply both sides by 2 to cancel the denominator

c=40

she started with 40 comic books

12.  b= students in buses

472= 9b + 4

-4             -4

468=9b

/9     /9

b= 52

52 students went in each bus

13. h= hats

17= h/2 +5

-5          -5

12=h/2

multiply both sides by 2 to cancel the denominator

h=24

she had 24 hats on monday

14. p= pies the club made

60= (p+4)/5

multiply both sides by 5 to cancel the denominator

300=p+4

-4         -4

p= 296

the club made 296 pies

Step-by-step explanation:

The period of the Markov chain is 2.

The period of this Markov chain is determined by the number of times you have to go through the probability transition matrix before you return to the same state. The period for this Markov chain is 2, as you can see from the probability transition matrix below:

 P(i,j)   State 0   State 1    State 0   0.5   0.5    State 1   0.3   0.7  


Starting from State 0, the probability of transitioning to State 0 is 0.5, and the probability of transitioning to State 1 is 0.5. If we start from State 1, the probability of transitioning back to State 0 is 0.3, and the probability of transitioning back to State 1 is 0.7.

Therefore, it takes two steps for the chain to return to its original state and the period of this Markov chain is 2.

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The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.

The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.

The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.

Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.

By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.

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Note : This is a computer science question

Answer:

Step-by-step explanation:

The gradient of the line 3y-12x+7=0 is; 4.

According to the question;

We are responsible to determine the gradient of the line 3y-12x+7=0.

To do this; we must rewrite the equation 3y-12x+7=0 in the slope-intercept form as follows;

3y-12x+7=0

3y = 12x - 7

y = 4x -7/4

By comparison with; y = mx + c;

where, gradient/slope is m;

The gradient/slope of the line 3y-12x+7=0 is; 4.