Sales tax in Idaho is 6%. If your grocery bill before sales tax was $50, how much will you have to pay in sales tax?

How do I solve the problem? ​

The percentage of the milkshakes sold that had whipped cream on top is 32.12%.

Percentage is simply a number or ratio expressed as a fraction of 100.

Given that:

Number of milkshakes sold by Hannah's Diner = 825

Number of milkshakes that had whipped cream on top = 264

To find the percentage of milkshakes that had whipped cream, we need to divide the number of milkshakes with whipped cream by the total number of milkshakes sold, and then multiply by 100 to express it as a percentage.

Hence,the percentage of milkshakes with whipped cream is:

= (264/825) × 100%

= 32.12%

Therefore, 32% of the milkshakes sold had whipped cream on top.

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One algorithm uses a hash table to find repeated integers in O(n) time and space. Another approach sorts the array first and finds repeated integers in O(nlogn) time and O(1) space.

One possible algorithm to find the five integers that are repeated in array b is as follows:

Initialize a hash table H with size n-5.

Traverse the array b from left to right, and for each element x in b:

a. If H[x] is already set to true, x is a repeated integer, add it to a list of repeated integers.

b. Otherwise, set H[x] to true.

Return the list of repeated integers.

The above algorithm has a time complexity of O(n), as it traverses the array once and performs constant time operations for each element. The space complexity is also O(n), as we need to store a hash table of size n-5 to keep track of which integers have been encountered.

Alternatively, one could sort the array first and then traverse it to find the repeated integers. The time complexity of this approach would be O(nlogn) due to the sorting step, but it would have a lower space complexity of O(1) since we don't need to store any additional data structures. However, the first algorithm is likely to be faster for large values of n

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Answer:

£68

Step-by-step explanation:

Width of one tile = 20cm

Calculate how many tiles you need to fit the width of the wall:

width of wall ÷ width of tile = 300 ÷ 20 = 15 tiles wide

Height of one tile = 25cm

Calculate how many tiles you need to fit the height of the wall:

height of wall ÷ height of tile = 250 ÷ 25 = 10 tiles high

Therefore, total tiles needed = 15 x 10 = 150 tiles

If there are 20 tiles in each box,  

total tiles ÷ 20 = 150 ÷ 20 = 7.5 boxes

So we need to round this UP to 8 boxes (else we won't have enough tiles)

Therefore, 8 boxes of tiles at £8.50 per box:

Total cost = 8 x 8.50 = £68

The solution involves calculating the likelihood function, maximizing it, and using the estimated value to find the probability of no dropped connections in the next two calls.

(a) To find the maximum likelihood estimate of λ, the mean number of dropped connections per call, we need to use the Poisson distribution to calculate the likelihood function L(λ) for the given data. The Poisson distribution is given by:

P(X = x | λ) = (λ^x * e^(-λ)) / x!

where X is the random variable representing the number of dropped connections per call, λ is the parameter representing the mean number of dropped connections per call, and x is the observed number of dropped connections in a call.

The likelihood function for four calls with observed numbers of dropped connections 2, 0, 3, and 1 can be expressed as:

L(λ) = P(X = 2 | λ) * P(X = 0 | λ) * P(X = 3 | λ) * P(X = 1 | λ)

= (λ^2 * e^(-λ)) / 2! * (e^(-λ)) / 0! * (λ^3 * e^(-λ)) / 3! * (λ^1 * e^(-λ)) / 1!

= (λ^6 * e^(-4λ)) / 6

Taking the derivative of L(λ) with respect to λ, setting it equal to zero, and solving for λ.

d/dλ [L(λ)] = d/dλ [(λ^6 * e^(-4λ)) / 6]

= [(6λ^5 * e^(-4λ) - 4λ^6 * e^(-4λ)) / 6]

Setting this derivative equal to zero, we get:

2λ - 3λ^2 = 0

λ = 0 or λ = 2/3

Since λ = 0 is not a valid solution for a Poisson distribution, the maximum likelihood estimate of λ is λ = 2/3.

Therefore, the maximum likelihood estimate of the mean number of dropped connections per call is 2/3.

(b) To obtain the maximum likelihood estimate that the next two calls will be completed without any accidental drops, we can use the estimated value of λ = 2/3 to calculate the probability of no dropped connections in each of the next two calls, using the Poisson distribution:

P(X = 0 | λ = 2/3) = (2/3)^0 * e^(-2/3) / 0! = e^(-2/3) ≈ 0.5134

P(both calls have no drops | λ = 2/3) = P(X = 0 | λ = 2/3)^2 ≈ 0.2637

Therefore, the maximum likelihood estimate that the next two calls will be completed without any accidental drops is approximately 0.2637.

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Answer:

When we have a given function, y = f(x), the general way of graphing the function is finding a lot of coordinate pairs (x, f(x)) and graphing them in a coordinate axis, and then connect them.

So here we have:

p(x) = 2x^(3)+7x^(2)-3x-18

Just let's find the value of p(x) for different values of x, and let's do it.

p(0) = 2*0^(3)+7*0^(2)-3*0-18 = -18

Then the point (0, -18) belongs to the graph

p(1) = 2*1^(3)+7*1^(2)-3*1-18 = 2 + 7 - 3 - 18 = -12

then the point (1, - 12) belongs to the graph.

p(-1) =  2*(-1)^(3)+7*(-1)^(2)-3*(-1)-18  = -2 + 7 + 3 - 18 = -10

then the point (-1, -10) belongs to the graph:

p(2) =  2*2^(3)+7*2^(2)-3*2-18 = 16 + 28 - 6 - 18 =  20

Then the point (2, 20) belongs to the graph

p(-2) =  2*(-2)^(3)+7*(-2)^(2)-3*(-2)-18 = -16 + 28 + 6 - 18 = 0

Then the point (-2, 0) belongs to the graph.

p(-3) =  2*(-3)^(3)+7*(-3)^(2)-3*(-3)-18 = -54 + 63 + 9 - 18 = 0

Then the point (-3, 0) belongs to the graph.

Now that we have 6 points we can graph them and try to connect them.

We also know that this is a cubic polynomial, so we can expect that it changes its direction two times (no more than that) then knowing that we can estimate a shape for the graph, and you will obtain something like the graph of the image below, where I just connected the known points.

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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Answer: (I don't know what you want) The answer to the expression is 4t+2m. It can't simplify any further.

Step-by-step explanation:

Answer:

but what is the question?

(a) The probability of zero arrivals during the next minute is approximately 0.2231. (b) The probability of z service times less than or equal to a given value can be calculated using the exponential distribution formula.

(a) The probability of zero arrivals during the next minute can be calculated using the Poisson distribution with a rate of 1.5 per minute. Plugging in the rate λ = 1.5 and the number of arrivals k = 0 into the Poisson probability formula, we get P(X = 0) = e^(-λ) * (λ^k) / k! = e^(-1.5) * (1.5^0) / 0! = e^(-1.5) ≈ 0.2231.

(b) In the second part of the problem, the employee serves each customer in 1 minute on average, and the service times follow an exponential distribution. The probability of z service times less than or equal to a given value can be calculated using the exponential distribution. We can use the formula P(X ≤ z) = 1 - e^(-λz), where λ is the rate parameter of the exponential distribution. In this case, since the average service time is 1 minute, λ = 1. Plugging in z into the formula, we can calculate the desired probability.

Note: Since the specific value of z is not provided in the problem, we cannot provide an exact probability without knowing the value of z.

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The probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

We have:

Mary has 3 blouses (red, black, and white), 2 pairs of pants (black and blue), and 4 pairs of shoes (red, blue, black, and white).

P(black blouse) = 1/3

P(black pants) = 1/2

P(black shoes) = 1/4

Probability that Mary's outfit will be black blouse, black pants, black shoes:

= (1/3)(1/2)(1/4)

= 1/24

Thus, the probability that Mary's outfit will be black blouse, black pants, black shoes is 1/24 if the Mary has 3 blouses, 2 pairs of pants, and 4 pairs of shoes.

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Answer: 7.25 minutes per container.

Step-by-step explanation:

Your looking for a ratio of time per container. 29/4 is the given ratio it was simplified to 7.25/1. Or simply 29 divided my 4.

The group that had the highest percentage of students that like Sports is  group B.

The group that had the less percentage of students that like English is group A.

the percentage of students like Math in group A is 30% and 10% in group B

A pie chart is a graph that displays information in a circle. The circle is divided into slices which represent a numerical proportion. The sum of angles in a pie chart is 360 degrees

Percentage of students that like sports in:

Percentage of students that like English in:

Percentage of students that like Maths in:

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205 liters in 5 1/4 minutes

m = 5 1/4

20 (5 1/4) = 105

100+105= 205

The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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Answer:

C. 3 : 5

D. 24 : 40

Step-by-step explanation:

Select two ratios equivalent to 6 : 10

Checking all options

A. 20 : 12

20 / 12

= 10 /6

= 10 : 6

B. 32 : 50

= 32 / 50

= 16 / 25

C. 3 : 5

3 / 5

= 6 / 10

3/5 is equivalent to 6 / 10

D. 24 : 40

24 / 40 = 12 / 20

= 6 / 10

= 6 : 10

Options C and D are correct

Answer:

the anwser is c. and d.explanation:khan acadmey says so

Answer:

-2

Step-by-step explanation:

To subtract 1/4 from 11/24, you need to find a common denominator for both fractions. The least common multiple (LCM) of 4 and 24 is 24. Convert 1/4 to an equivalent fraction with a denominator of 24 by multiplying the numerator and denominator by 6. This gives you 6/24. Now, subtract 6/24 from 11/24, which equals 5/24. Therefore, 11/24 - 1/4 simplifies to 5/24.

To subtract fractions, you need to have a common denominator. In this case, the denominators are 24 and 4. To find a common denominator, you can use the least common multiple (LCM) of the two denominators.

The LCM of 4 and 24 is 24. To convert 1/4 to an Summary:

To subtract 1/4 from 11/24, you need to find a common denominator for both fractions. The least common multiple (LCM) of 4 and 24 is 24. Convert 1/4 to an equivalent fraction with a denominator of 24 by multiplying the numerator and denominator by 6. This gives you 6/24. Now, subtract 6/24 from 11/24, which equals 5/24. Therefore, 11/24 - 1/4 simplifies to 5/24.

To subtract fractions, you need to have a common denominator. In this case, the denominators are 24 and 4. To find a common denominator, you can use the least common multiple (LCM) of the two denominators.

The LCM of 4 and 24 is 24. To convert 1/4 to an equivalent fraction with a denominator of 24, you can multiply the numerator and denominator by 6. This gives you (1 * 6) / (4 * 6) = 6/24.

Now that both fractions have a common denominator of 24, you can subtract them:

11/24 - 6/24 = (11 - 6) / 24 = 5/24.

Therefore, 11/24 - 1/4 simplifies to 5/24. with a denominator of 24, you can multiply the numerator and denominator by 6. This gives you (1 * 6) / (4 * 6) = 6/24.

Now that both fractions have a common denominator of 24, you can subtract them:

11/24 - 6/24 = (11 - 6) / 24 = 5/24.

Therefore, 11/24 - 1/4 simplifies to 5/24.

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Answer:

A is 2,8 and b is 2,3

asked my teacher

Step-by-step explanation:

Answer:

A

Step-by-step explanation

B. is slope intercept formula

FALSE. The number of dots in a dotplot of a bootstrap distribution is equal to the size of the bootstrap sample, not the original sample.

In a bootstrap analysis, multiple samples of the same size are drawn from the original sample with replacement, creating a distribution of sample statistics. The dotplot of this distribution represents the frequency of the sample statistics and can help us understand the variability of the original sample.

The number of dots in the dotplot reflects the number of bootstrap samples, which can be much larger than the original sample size. Therefore, the number of dots in the bootstrap distribution can be different from the size of the original sample.

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Answer: Cheetah

Step-by-step explanation: I got it right on the test :)

The animal with the least difference is cheetah with a value of 5

From the double bar chart attached :

Life span in wild is = blue bar

Life span in wild is = blue bar Life span in captivity = brown bar

Calculating the approximate difference between the two bar values as obtained from the graph :

CHEETAH = 17 - 12 = 5

POLAR = 35 - 20 = 15

TIGER = 26 - 20 = 6

GIANT PANDA = 30 - 20 = 10

LEOPARD = 28 - 20

The animal with the least difference between it's span in the wild and in captivity is CHEETAH with a value of 5.

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The solutions to the equation √(2)x + 13 - 5 = x are:
x = -16 or x = -8.

A quadratic equation is a polynomial equation of the second degree, which means the highest power of the variable (usually represented by "x") is 2. It can be written in the general form: ax^2 + bx + c = 0

where "a," "b," and "c" are constants, and "a" is not equal to 0. The constants "a," "b," and "c" determine the specific coefficients and values of the quadratic equation.

To solve the equation sqrt(2)x + 13 - 5 = x, we need to isolate the variable x on one side of the equation.
First, we can simplify the left side by combining the constant terms:
√(2)x + 8 = x
Next, we can eliminate the square root by squaring both sides of the equation:
(√(2)x + 8)^2 = x^2
Expanding the left side using FOIL, we get:
2x^2 + 32x + 64 = x^2
Subtracting x^2 from both sides, we get:
x^2 + 32x + 64 = 0
Now we have a quadratic equation that we can solve using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / 2a
In this case, a = 1, b = 32, and c = 64. Substituting these values into the formula, we get:
x = (-32 ± √(32^2 - 4(1)(64))) / 2(1)
Simplifying the square root, we get:
x = (-32 ± √(576)) / 2
x = (-32 ± 24) / 2
x = -16 or x = -8.

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The length of AD is 3.6.

In geometry, an angle bisector is a line that divides an angle into two equal angles. The term "bisector" refers to a device that divides an object or a shape into two equal halves. An angle bisector is a ray that divides an angle into two identical segments of the same length.

The angle bisector in this case is BD, thus we have

ABD = CDB

now that we have compared the ratios,

\(\frac{AD}{4.5} =\frac{4}{5}\)

To find the value of AD, we can now multiply 4.5 on the right-hand side.

AD is 3.6

This length of  AD is  = 3.6.

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The administrator should use the mean duration of employment for his clients to compare it with the national average. This will help determine if his hard-to-place clients have shorter or longer job durations than the average.

To contrast the average length of time at a job for his clients with the national average, the administrator of the TANF program should use the mean duration of employment for his clients and compare it to the national average.

This would provide a measure of the central tendency of employment durations for his clients and allow him to compare this measure to the corresponding national statistic.

However, it is important to note that this measure alone may not provide a complete picture of employment outcomes for hard-to-place clients in the TANF program.

The administrator may also want to consider other statistical measures such as the median duration of employment or the standard deviation to get a better understanding of the distribution of employment durations among his clients.

The median duration of employment would provide a measure of the middle value of employment durations, which may be a more representative statistic if there are outliers or extreme values in the data.

The standard deviation would provide a measure of the variability in employment durations among his clients, which would be useful in determining whether there is a wide range of outcomes or if most clients have similar employment durations.

In addition to statistical measures, the administrator may also want to consider qualitative factors such as the types of jobs his clients are able to secure and whether they are able to advance in their careers over time.

This would provide a more nuanced understanding of employment outcomes and allow for a more comprehensive evaluation of the effectiveness of the TANF program in supporting hard-to-place clients in gaining and maintaining employment.

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Answer:

Step-by-step explanation:

Therefore, the length of side AC is approximately 5.877 units, and the length of side BC is 15 units.

The hypotenuse of a right triangle is the side that faces the right angle (in this case, side BC). The Pythagorean theorem can be used to determine the length of side AB as follows: AB2 = BC2 + AC2.

Since angle C is 90 degrees, we may simply just substituting in the supplied values:

\(AB^2 = 15^2 + x^2\)

\(AB^2 = 225 + x^2\)

\(\sqrt{(225 + x2)} = AB\)

Next, we can use the fact that a triangle's total angles add up to 180 degrees to determine the size of angle B:

angle B is equal to 180°, 90°, and 18°, or 72°.

In order to determine the length of side AC, we may now apply the Law of Sines as follows: sin(B)/AC = sin(A)/BC sin(72)/AC = sin(18)/15 AC = 15*sin(18)/sin (72)

A calculator can be used to determine that:

AC ≈ 5.877

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summing-up the values for equation of line y = x/2 + 1 in table :

x       y

-10   -4

-6    -2

-2     0

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the given equation is :

y = x/2 + 1

Now, computing the value of y corresponding to values of x by substituting values in above equation :

when x = -10 :

y = x/2 + 1

y = -10/2 + 1

y = -5 +1

y = -4

similarly, for :

x = -6 , y = -2

x = -2 , 0

summing-up the above values in table that is attached below :

x       y

-10   -4

-6    -2

-2     0

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Now to draw the line graph of above equation taking any two coordinates let us say (-2,0) and (-2,-6). Now drawing the line joining these two points as shown in figure attached below.

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With a credit card balance of $17,426, a minimum monthly payment of $461, and an interest rate of 15.5%, we need to calculate the number of years it will take to pay off the card without adding any additional debt.

To determine the time required to pay off the credit card, we consider the monthly payment and the interest rate. Each month, a portion of the payment goes towards reducing the balance, while the remaining balance accrues interest.

To calculate the time needed for repayment, we track the decreasing balance each month. First, we determine the interest accrued on the remaining balance by multiplying it by the monthly interest rate (15.5% divided by 12).

We continue making monthly payments until the remaining balance reaches zero. By dividing the initial balance by the monthly payment minus the portion allocated to interest, we obtain the number of months needed for repayment. Finally, we divide the result by 12 to convert it into years.

In this scenario, it will take approximately 3.81 years to pay off the credit card (17,426 / (461 - (17,426 * (15.5% / 12))) / 12).

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The value of x: 30°

What is Parallelograms?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

Given, two angles

let  ∠A = 3x°

∠B = (x + 60)°

Since, we know

In Parallelogram,

All the respective consecutive angles are supplementary.

Here, ∠A + ∠B = 180°

Substituting the values, we get

3x° + (x + 60)° = 180°

3x° + x° + 60° = 180°

4x° + 60° =  180°

Subtracting 60 both side

4x° + 60° - 60° =  180° - 60°

4x° = 120°

Dividing 4 both side

4x/4 = 120/4

x = 30°

Hence, The value of x = 30°

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The confidence interval is (84.41, 85.59), meaning that we are 85.0% confident that the true population mean, μ, lies between 84.41 and 85.59

A 85.0% confidence interval for the true population mean, μ, can be constructed using the following formula:

x¯ ± (Zα/2 * σ/√n)

where

Using the Z-score table for a confidence level of 0.85, we have

Zα/2 = 1.040.

Substitute the known values in the above equation, so, we have the following representation

CI = 85.0 ± (1.040 * 5.5/√94)

Evaluate

CI = 85.0 ± 0.59

This gives

CI = 84.41 to 85.59

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