petra wants to buy a skateboard. the skateboard deck usually costs $37.50, but it is on sale for 20% off.part of the sales tax rate is 5.2%, how much will petra pay for the skateboard deck in all? $30.00 $31.56 $31.95 $39.45

Answer:

Step-by-step explanation:

A number is at least 65. It means the number n can be 65 or greater.

Its translation is:

The answer options don't have this included.

Let the number be n

Inequality:-

\(\\ \sf{:}\Rrightarrow n\geqslant 65\)

To find the height of the person, we can set up a proportion using the given information.

Let's denote the height of the person as 'x'.

The proportion can be set up as follows:

(Height of building) / (Shadow of building) = (Height of person) / (Shadow of person)

Plugging in the given values:

100 ft / 25 ft = x / 1.5 ft

To solve for 'x', we can cross multiply:

(100 ft) * (1.5 ft) = (25 ft) * x

150 ft = 25 ft * x

Dividing both sides of the equation by 25 ft:

x = 150 ft / 25 ft

x = 6 ft

Therefore, the person is 6 feet tall.

In conclusion, the height of the person is 6 feet, based on the given proportions and calculations.

The height of the building is 100ft and the building cast a shadow of 25ft.

A person cast a shadow of 25ft so by using the proportion comparison the height of a person is 6ft.

Given that the height of a building is 100ft and the length of its shadow is 25ft. Let's assume that the height of a person is x whose length of the shadow is 1.5ft.

The ratio of the building's height to its shadow length is the same as the person's height to their shadow length.

Therefore, by using the proportion comparison we get,

(Height of building) / (Shadow of the building) = (Height of person) / (Shadow of person)

100/25= x/1.5

4= x/1.5

Multiplying both sides by 1.5 we obtain,

1.5×4= 1.5× (x/1.5)

x =1.5×4

x=6.0

Hence, the height of a person is 6ft if they cast a shadow of 1.5ft.

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Answer: 70.5

Step-by-step explanation:

Step 2:

- Find the area of the rectangle:

A= l *

=> 14.5 * 5

=> 58

- Find the area of the triangle:

A= 1/2 *b*h

=> 1/2 * 4 * 6.25

=> 12.5

Step 3: Find the area of the composite figure

58 + 12.5 = 70.5

So the area of the composite figure is about 58 + 12.5, or 70.5

Answer:

$0.29 is the price difference

Step-by-step explanation:

Ten years ago, you could buy a loaf of bread for $1.21. Twenty years ago, you could buy a loaf of bread for $0.92.

The probability of the arrow landing on an odd number is the number of odd numbers divided by the total number of possible outcomes. Therefore, the probability of the arrow landing on an odd number is  0.5 or 50%.


To find the probability that the arrow will point at an odd number on a circular board with 8 equal parts, we'll first determine the total number of odd numbers present and then divide that by the total number of possible outcomes.

Step 1: Identify the odd numbers on the board. They are 1, 3, 5, and 7. The game consists of spinning the arrow on a circular board with 8 equal parts, which means there are 8 possible outcomes or numbers. Since we want to know the probability of landing on an odd number, we need to count how many odd numbers are on the board. In this case, there are four odd numbers: 1, 3, 5, and 7.

Step 2: Count the total number of odd numbers. There are 4 odd numbers.

Step 3: Count the total number of possible outcomes. Since the board is divided into 8 equal parts, there are 8 possible outcomes.

Step 4: Calculate the probability. The probability of the arrow pointing at an odd number is the number of odd numbers divided by the total number of possible outcomes.

Probability = (Number of odd numbers) / (Total number of possible outcomes)
Probability of landing on an odd number = Number of odd numbers / Total number of possible outcomes
Probability of landing on an odd number = 4 / 8

Step 5: Simplify the fraction. The probability of the arrow pointing at an odd number is 1/2 or 50%.

So, the probability that the arrow will point at an odd number is 1/2 or 50%.

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Algebraic expressions are combinations of constants, variables, and at least one arithmetic operation

A term is what individually makes up an expression

The similarity between terms, constants, and algebraic expressions is that they are all mathematical statements, and they contain numbers with a variable of zero

Answer:

y = -x - 4

Step-by-step explanation:

Given line: y = x - 1

Slope of given line = 1

The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular line is -1.

slope = -1

point: (-6, 2)

y = mx + b

y = -x + b

2 = -(-6) + b

2 = 6 + b

b = -4

Equation:

y = -x - 4

Answer:

0010110010100100001010010010101010010101010010010

001010010010100010010101000001010000101001010010

Respuesta en número binarios

The lower confidence interval of the population mean is 34.16.

To construct a 95% confidence interval for the population mean, we can use the formula:

CI = sample mean ± (z-score)(standard error)

Where the z-score is determined by the level of confidence and can be found using a z-table or calculator. For a 95% confidence interval, the z-score is 1.96.

The standard error can be calculated using the formula:

standard error = population standard deviation / √(sample size)

Substituting the given values, we get:

standard error = 2.9 / √46 = 0.427

Now we can plug in the values into the formula to get the confidence interval:

CI = 35 ± (1.96)(0.427) = 35 ± 0.837

The lower confidence interval of the population mean is obtained by subtracting the margin of error from the sample mean:

lower confidence interval = 35 - 0.837 = 34.16 (rounded to 2 decimal places)

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It is not clear what we are supposed to solve for in the given expression. However, if we assume that we are supposed to solve for A in the equation:

73°(x + 42)(x + 79) = A

Then we can use the distributive property of multiplication to simplify the expression:

73°(x + 42)(x + 79) = A

73°(x^2 + 121x + 3321) = A

5323x^2 + 88333x + 242733 = A

Therefore, the solution for A is:

A = 5323x^2 + 88333x + 242733

Note that the value of A depends on the value of x, which is not given in the question.

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The p-value for a two-sided hypothesis test that the beta coefficient on education is .59 is 0.1211.

The p-value is a measure of the probability that the results of a statistical test are due to random chance. It is commonly used to help determine whether or not to reject the null hypothesis in favor of an alternative hypothesis.

This p-value is calculated by assessing the null hypothesis that the beta coefficient on education is equal to zero against the alternative hypothesis that the beta coefficient on education is different than zero.

This is done by evaluating the t-statistic for the coefficient and determining its corresponding p-value.

Therefore , p- value of hypotesis which the given coefficient is 0.1211

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Using trend-adjusted exponential smoothing with alpha = 0.1 and beta = 0.2, the forecast for the architectural firm's August income is $94.92 thousand dollars. The mean squared error (MSE) for this forecast is 2.12 \((thousand dollars)^2\).

Trend-adjusted exponential smoothing combines exponential smoothing with a trend adjustment factor. The forecast for a given period is calculated based on the previous forecast and the previous trend value. In this case, the initial forecast for February is given as $85.0 thousand dollars, and the initial trend adjustment is 0.

To calculate the forecast for each month, we use the following formulas:

Level forecast = Previous level forecast + Previous trend adjustment

Trend forecast = Previous trend forecast + Beta * (Current level forecast - Previous level forecast)

Forecast for next period = Level forecast + Trend forecast

Using these formulas, we can calculate the forecasts for each month from February to July. Then, for August, we can apply the trend adjustment formula using the previous level forecast and trend forecast. The resulting forecast for August is $94.92 thousand dollars.

The mean squared error (MSE) is a measure of the accuracy of the forecast. It is calculated by taking the average of the squared differences between the actual income values and the forecasted values. In this case, the MSE for the forecast developed using trend-adjusted exponential smoothing is 2.12 \((thousand dollars)^2\). A lower MSE indicates a better fit between the forecast and the actual data.

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Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants

The visual cliff experiment is used to test depth perception in babies, by

using an apparent cliff.

The experiment can be used to verify if the perception of depth is an

innate capability or a learned response.

The completed statement is therefore;

Researchers use the visual cliff experiment to determine whether depth perception is innate or learned in infants.

The phrase that completes the statement is depth perception

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Answer:

820.11

Step-by-step explanation:

-39.48

603.15+90.89=694.04

694.04+106.03=800.07

800.07+70.04+870.11

870.11-50.00=820.1

Answer:

9lbs

Step-by-step explanation:

12*.75=9

Answer:

Step-by-step explanation:

Convert pounds to ounces:

2\(\frac{2}{3}\) = 2.667

2.667 lb x 16 oz/lb = 42.7 oz

42.7 > 40, therefore Tuga has enough sweet potatoes to make chili

Answer:

The bake sale raised $159.75

Step-by-step explanation:

Tomorrow, three out of four hits are required to average more than 0.450.

Given data;

Take the example of the third baseman for your high school softball team who had a total of 6 hits in 15 at-bats during the previous four games. assuming you'll get four chances to bat in tomorrow's game. How many hits must you have to surpass 0.450 on the batting average? To determine the required number of hits, create and solve an inequality.

Let 'x' be the number of hits

And have an average of 0.45

⇒ \(\frac{6+x}{15+4} > 0.45\)

⇒ 6 + x > 0.45 * 19

   6 + x > 8.55

   x > 2.55

   x = 3

Hence, 3 out of 4 hits tomorrow is the least number of hits needed to average greater than 0.450

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Answer:

Step-by-step explanation:

So your code has to pass the test

(check-equal? (sieve 10) (list 2 3 5 7))

This means, first, that (sieve 10) must be a valid call, and second, that it must return (list 2 3 5 7), the list of primes up to 10. 10 is a number,

(define (sieve n)

... so what do we have at our disposal? We have a number, n which can be e.g. 10; we also have (sieve-with divisors lst), which removes from lst all numbers divisible by any of the numbers in divisors. So we can use that:

   (sieve-with (divisors-to n)

               (list-from-to 2 n)))

list-from-to is easy to write, but what about divisors-to? Before we can try implementing it, we need to see how this all works together, to better get the picture of what's going on. In pseudocode,

(sieve n)

=

 (sieve-with (divisors-to n)

             (list-from-to 2 n))

=

 (sieve-with [d1 d2 ... dk]

             [2 3 ... n])

=

 (foldl (lambda (d acc) (drop-divisible d acc))

        [2 3 ... n]  [d1 d2 ... dk])

=

 (drop-divisible dk

   (...

     (drop-divisible d2

       (drop-divisible d1 [2 3 ... n]))...))

So evidently, we can just

(define (divisors-to n)

 (list-from-to 2 (- n 1)))

and be done with it.

But it won't be as efficient as it can be. Only the prime numbers being used as the divisors should be enough. And how can we get a list of prime numbers? Why, the function sieve is doing exactly that:

(define (divisors-to n)

 (sieve (- n 1)))

Would this really be more efficient though, as we've intended, or less efficient? Much, much, much less efficient?......

But is (- n 1) the right limit to use here? Do we really need to test 100 by 97, or is testing just by 7 enough (because 11 * 11 > 100)?

And will fixing this issue also make it efficient indeed, as we've intended?......

So then, we must really have

(define (divisors-to n)

 (sieve (the-right-limit n)))

;; and, again,

(define (sieve n)

   (sieve-with (divisors-to n)

               (list-from-to 2 n)))

So sieve calls divisors-to which calls sieve ... we have a vicious circle on our hands. The way to break it is to add some base case. The lists with upper limit below 4 already contain no composite numbers, namely, it's either (), (2), or (2 3), so no divisors are needed to handle those lists, and (sieve-with '() lst) correctly returns lst anyway:

(define (divisors-to n)

 (if (< n 4)

   '()

   (sieve (the-right-limit n))))

And defining the-right-limit and list-from-to should be straightforward enough.

So then, as requested, the test case of 10 proceeds as follows:

(divisors-to 10)

=

 (sieve 3)   ; 3*3 <= 10, 4*4 > 10

=

 (sieve-with (divisors-to 3)

             (list-from-to 2 3))

=

 (sieve-with '()          ; 3 < 4

             (list 2 3))

=

 (list 2 3)

and, further,

(sieve 100)

=

 (sieve-with (divisors-to 100)

             (list-from-to 2 100))

=

 (sieve-with (sieve 10)  ; 10*10 <= 10, 11*11 > 10

             (list-from-to 2 100))

=

 (sieve-with (sieve-with (divisors-to 10)

                         (list-from-to 2 10))

             (list-from-to 2 100))

=

 (sieve-with (sieve-with (list 2 3)

                         (list-from-to 2 10))

             (list-from-to 2 100))

=

 (sieve-with (drop-divisible 3

               (drop-divisible 2

                         (list-from-to 2 10)))

             (list-from-to 2 100))

=

 (sieve-with (drop-divisible 3

                         (list 2 3 5 7 9))

             (list-from-to 2 100))

=

 (sieve-with (list 2 3 5 7)

             (list-from-to 2 100))

just as we wanted.

True.All regular polygons can be inscribed in a circle, as their vertices lie on the circle's circumference.

A regular polygon is a polygon that has all sides and angles equal. When a regular polygon is inscribed in a circle, it means that all of its vertices lie on the circumference of the circle.

To visualize this, imagine drawing a regular polygon, such as a triangle, square, pentagon, or hexagon, inside a circle. Each vertex of the polygon touches the circumference of the circle. This property holds true for any regular polygon, regardless of the number of sides it has.

One way to understand why this is true is by considering the angles formed at the center of the circle. The angles between the radii (lines connecting the center of the circle to the vertices of the polygon) are all equal in a regular polygon. Since the sum of the angles around a point is always 360 degrees, the angles at the center of the circle must also add up to 360 degrees. This ensures that the vertices of the polygon lie on the circumference of the circle. In conclusion, all regular polygons can be inscribed in a circle, as their vertices lie on the circle's circumference.

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Answer:

Their down payment is 20% of the purchase price.

Step-by-step explanation:

The down payment is $30,000 and the purchase price is $150,000.

To find the percentage, we can divide the down payment by the purchase price and multiply by 100:

($30,000 / $150,000) x 100% = 20%

Therefore, the down payment is 20% of the purchase price.

Analysis of variance (ANOVA) is a statistical tool used to test for equality of means across multiple groups or populations. This test helps to determine whether the observed differences between the means of different groups are statistically significant or simply due to chance.

ANOVA calculates the variation or deviation in the means of different groups by comparing the variance within the groups to the variance between the groups.

In ANOVA, the population is the entire group of individuals or objects that are being studied. For example, if we are comparing the means of three different age groups, the population would be all individuals in those three age groups.

ANOVA looks at the variance between these groups and within each group to determine if there is a statistically significant difference in means.

When conducting an ANOVA, standard deviations, variances, and means are all important measures of central tendency and variability. Standard deviations and variances are used to calculate the within-group variation and between-group variation.

Proportions, on the other hand, are not used in ANOVA as this test is specifically designed for continuous data, such as means.

Overall, ANOVA is a useful tool for analyzing differences in means across multiple populations.

By calculating the deviation or variation between and within groups, it can help researchers determine whether observed differences are statistically significant or not.

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Answer:

C. \(6+z=44\Rightarrow z=38\ \text{inches}\)

Step-by-step explanation:

The plant has initial length of \(6\ \text{inches}\)

Let the height it grew after the \(6\ \text{inches}\)  be \(z\)

So total height it grows would be \(6+z\)

The total height of the plant is \(44\ \text{inches}\)

So we get

\(6+z=44\\\Rightarrow z=44-6\\\Rightarrow z=38\ \text{inches}\)

The equation that models the situation is

\(6+z=44\Rightarrow z=38\ \text{inches}\)

The probability that 8 flowers will bloom early out of a row of 35 flowers is 24.19%.

The probability that 8 flowers will bloom early out of a row of 35 flowers can be calculated by multiplying the probability of an individual flower blooming early (24.2%) by the number of flowers in the row (35) and then dividing by the total number of possible outcomes (35). This gives us:
Probability = (24.2% x 35) / 35
Probability = 0.242 x 35 / 35
Probability = 8.47 / 35
Probability = 0.2419
Therefore, the probability that 8 flowers will bloom early out of a row of 35 flowers is 24.19%.

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The system that is designed to summarize and report on a company's basic operations is a Management Information System. The information for these systems come from Transaction Processing Systems (TPS).

Management Information System (MIS) is an information system that is used to make an informed decision, support effective communication, and help with the overall business decision-making process.  An effective MIS increases the efficiency of organizational activities by reducing the time required to gather and process data.

MIS works by collecting, storing, and processing data from different sources, such as TPS and other sources, to produce reports that provide information on how well the organization is doing. These reports can be used to identify potential problems and areas of opportunity that require attention.

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The result of the recursive function mystery (m) is k.

In computer science, functions are collections of code that can be used and re-utilised in greater codes. Functions are formed by inputs, a procedure and an output.

In this question we must analyze a recursive function, recursive functions are functions that creates a loop with the function itself, that is, the function uses itself as an output, until desired output is done.

After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k. \(\blacksquare\)

This is a Computer Science problem, whose complete statement is described below:

Consider the following recursive method:

public static int mystery (int n)

{

    if (n <= 1)

    {

         return 0;

    }

    else

    {    

         return 1 + mystery(n/2);

    }

}

Assuming that k is a nonnegative integer and m = 2ⁿ, what value is returned as a result of the call mystery (m)?

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The result of the recursive function mystery (m) is k.

In computer science, functions are collections of code that can be used and re-utilized in greater codes. Functions are formed by inputs, a procedure, and an output.

In this question we must analyze a recursive function, recursive functions are functions that create a loop with the function itself, that is, the function uses itself as an output until the desired output is done.

After performing desktop testing, we conclude that the result of the recursive function mystery (m) is k.

Consider the following recursive method:

public static int mystery (int n)

{

   if (n <= 1)

   {

        return 0;

   }

   else

   {    

        return 1 + mystery(n/2);

   }

}

Hence, the result of the recursive function mystery (m) is k.

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a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!