5 Bruno buys 9.625 gallons of gasoline at a gas station.
Each gallon costs $3.40. Bruno also buys a bag of ice
for $3.99. How much in total does Bruno spend at the
gas station to the nearest cent?

Answer:

They are congruent by SAS:

Side: AB = CB

Angle: ∠ABD = ∠CBD

Side: BD = BD

Explanation:

Two triangles are congruent if they have the same interior angles and the same length of their corresponding sides.

If two of the angles are equal, we can say that all the interior angles are equal.

So, based on the given information we get:

1. AC ⊥ BD means that AC is perpendicular to BD, therefore,

∠ADB = ∠CDB = 90°

2. It is given that ∠A = ∠C

3. Since both of their interior angles are equal, we can say that all the interior angles are equal and:

∠ABD = ∠CBD

4. The triangle ABC is isosceles because two of their interior angles are equal, therefore AB = CB

5. BD = BD because it is the same segment.

6. By SAS (Side-angle-Side) we can say that ΔABD = ΔCBD

Because the side AB is equal to side CB, the angle ABD is equal to angle CBD, and the side BD is equal to itself.

Answer: 37 degrees

Hope this helps :)

Step-by-step explanation:

(The box in the corner tells you this is a right angle)

A right angle is 90 degrees

90 - 53 = 37

Answer:

37 degrees

Step-by-step explanation:

Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37

Hope this helps! If you find my answer helpful, please consider marking brainliest! If you have any questions, feel free to ask me in the comments!

The argument is not a valid or strong inductive argument. There is an intelligent creator god.The argument presented above is an inductive argument.

The given argument can be broken down into a standard format for inductive arguments as follows:Premise 1: We observe an incredibly complex, ordered cosmos. Premise 2: The probability of observing such a complex, ordered cosmos is higher given the existence of an intelligent creator god than given the non-existence of a creator god. Conclusion: It is an argument based on probability, which aims to show that the probability of the conclusion is higher given the truth of the premises.Inverse probability, the concept of prior probability, and the way they are related by means of Bayes’ Theorem or the conditional probability rules can be used to analyze the argument.Bayes’ Theorem is a mathematical formula for determining the probability of a hypothesis, given prior knowledge or prior probability. The theorem can be used to calculate the probability of the conclusion given the truth of the premises. Bayes' theorem can be represented as:P(h|e) = P(e|h) × P(h) / P(e)where P(h|e) is the probability of the hypothesis h given the evidence e, P(e|h) is the probability of the evidence e given the hypothesis h, P(h) is the prior probability of the hypothesis h, and P(e) is the prior probability of the evidence e.

The concept of prior probability refers to the initial probability of a hypothesis before any evidence is taken into account. The prior probability of a hypothesis is important in determining the probability of the conclusion given the truth of the premises.The argument presented above assumes that the probability of observing an incredibly complex, ordered cosmos given the existence of an intelligent creator god is higher than the probability of observing such a universe given the non-existence of a creator god. This assumption is not supported by any empirical evidence and cannot be verified.

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Answer:

(x + 12)(x - 3)

Step-by-step explanation:

\( {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0\)

Answer:

c

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

A binomial theorem calculator is an online tool that calculates the expansion of a binomial expression raised to a power

The binomial theorem, also known as the binomial expansion, describes the algebraic expansion of a binomial expression, which is a mathematical expression that consists of two terms. A binomial theorem calculator is an online tool or a software program that calculates the expansion of a binomial expression raised to a power. The binomial theorem calculator can quickly and easily perform this expansion for any given binomial expression and power.

For example, if we have the binomial expression (a + b) raised to the power of 3, the binomial theorem calculator will provide the expanded form:

(a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3

This expansion can be useful in many mathematical calculations and applications, such as probability theory, combinatorics, and algebraic equations.

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Answer:

\( - 9 \sqrt{48} - 8 \sqrt{12} \\ = - 9 \times 4 \sqrt{3} - 8 \times 2 \sqrt{3} \\ = - 36 \sqrt{3} - 16 \sqrt{3} \\ = \sqrt{3} ( - 36 - 16) \\ = \sqrt{3} \times - 52 \\ = - 52 \sqrt{3} \\ thank \: you\)

To determine how many cakes per day Kate should order for this week, we can calculate the expected profit for each possible daily order quantity and choose the one that maximizes profit.

(a) Here are the steps:
1. Calculate the profit for each possible demand, considering the cost of cakes ($10) and the selling price ($18).
2. Multiply the profit by the probability of each demand level.
3. Sum up the expected profits for all demand levels. Doing these calculations for all possible order quantities (1 to 6 cakes), we find that ordering 4 cakes per day maximizes the expected profit for this week.
(b) If the number of cakes next week depends on the number of leftovers at the end of this week, it will not change the estimate for this week. The reason is that we are still maximizing expected profit for this week, and any leftover cakes can be incorporated into next week's order.
(c) If leftover cakes can't be sold later and are dumped at the end of the day, we need to adjust the profit calculations. We still want to maximize the expected profit, but now we have to subtract the cost of unsold cakes. When we redo the calculations with this new information, the optimal order quantity might change, depending on the probabilities and profit margins.
(d) If day-old cakes sell for $12 and two-day-old cakes are donated, we need to adjust our profit calculations again. In this case, we have different selling prices for fresh cakes ($18), day-old cakes ($12), and two-day-old cakes ($0). Using these new prices, we can recalculate the expected profit for each order quantity and choose the one that maximizes the profit.

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a. Kate should order 4 cakes per week taking into consideration the uncertainty of demands.

b. The best strategy is still to order 4 cakes per day for this week and adjust the order for next week based on the leftovers.

c. Kate should order 3 cakes per day for this week to minimize waste.

d. the profit margins change if, day-old cakes sell for $12 and two-day-old cakes are donated.

a. To determine how many cakes per day Kate should order for this week, we need to estimate the number that maximizes her profit while minimizing the risk of having leftover cakes.

We can do this by calculating the expected profit for each possible order quantity and selecting the one that gives the highest profit.
We can calculate the number of cakes by following the steps
1. Multiply the daily demand by its probability, then sum these products to get the expected daily demand:

(1 * .1) + (2 * .2) + (3 * .25) + (4 * .25) + (5 * .15) + (6 * .05) = 3.4 cakes
2. Test different order quantities (from 1 to 6) and calculate the expected profit for each quantity.
3. Select the order quantity with the highest expected profit.

For this problem, Kate should order 4 cakes per day for this week.

b. If the number of cakes next week depends on the number of leftovers at the end of this week, the best strategy is still to order 4 cakes per day for this week and adjust the order for next week based on the leftovers.

c. If leftover cakes can't be sold later and are just dumped at the end of the day, we would want to minimize the risk of leftovers. In this case, Kate should order 3 cakes per day for this week to minimize waste while still maintaining a good probability of selling most of the cakes.

d. If day-old cakes sell for $12 and two-day-old cakes are donated, the profit margins change, and the expected profit calculation should be updated accordingly.

After recalculating, Kate should still order 4 cakes per day for this week, as the order quantity provides the highest expected profit with this new pricing structure.

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Answer:

24 in by 28 in.

Step-by-step explanation:

In this scenario, one foot is two inches

If we reject the null hypothesis, it suggests that the test statistic is more extreme than the critical value, the correct answer is b.

When we conduct a hypothesis test, the null hypothesis assumes that there is no significant difference or relationship between the variables being tested. The alternative hypothesis, on the other hand, suggests that there is a significant difference or relationship. In hypothesis testing, we compare the test statistic (calculated from our sample data) to the critical value (determined based on the significance level chosen).

If the test statistic is more extreme than the critical value, it means that the observed data is highly unlikely to occur under the assumption of the null hypothesis. This leads us to reject the null hypothesis in favor of the alternative hypothesis. By rejecting the null hypothesis, we conclude that there is evidence to support the presence of a significant difference or relationship between the variables.

rejecting the null hypothesis indicates that the test statistic is more extreme than the critical value, providing evidence for a difference or relationship between the variables being tested.

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Juanita will stuff 1/2 of the envelopes when working together with Sally and Abdul.

To determine the fraction of envelopes that Juanita will stuff when working together with Sally and Abdul, we need to consider their individual rates of work.

Let's denote the number of envelopes as E.

Sally can stuff all the envelopes in 3 hours, which means she can stuff E envelopes in 3 hours. Thus, Sally's rate of work is E/3 envelopes per hour.

Similarly, Abdul can stuff all the envelopes in 4 hours, so his rate of work is E/4 envelopes per hour.

Juanita can stuff all the envelopes in 6 hours, so her rate of work is E/6 envelopes per hour.

When they work together, their rates of work are cumulative. Therefore, the combined rate of work when all three work together is:

Sally's rate + Abdul's rate + Juanita's rate = E/3 + E/4 + E/6.

To find the fraction of envelopes stuffed by Juanita, we need to consider her rate of work in relation to the total combined rate of work:

Juanita's rate / Combined rate = (E/6) / (E/3 + E/4 + E/6).

Simplifying the expression, we get:

Juanita's rate / Combined rate = 1/2.

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To measure the quality characteristics of an organization, one statistical technique that can be employed is Statistical Process Control (SPC).

SPC is a method used to monitor and control processes to ensure they are operating within predetermined limits. It involves the use of control charts to analyze process data and identify any variations that may occur.

SPC provides a visual representation of process performance over time, allowing organizations to identify and address any issues that may affect quality. Control charts, such as the X-bar and R charts or the X-bar and S charts, are commonly used in SPC to monitor the mean and variability of a process.

For example, let's say a manufacturing company wants to measure the quality characteristics of its production line. The company can collect data on key quality indicators, such as product dimensions or defects, at regular intervals. Using SPC, the company can create control charts to track these measurements over time. If the data points fall within the control limits, it indicates that the process is stable and in control. However, if there are any data points outside the control limits or any patterns or trends observed, it may indicate a problem that requires investigation and corrective action.

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Answer:

Start at the origin and go to the left by one and go down by 4

Step-by-step explanation:

The x coordinate relates to the horizontal axis and the y axis refers to the vertical axis.

Before we start graphing we must always begin at the origin (0,0)

Since the x value is -1 we have to move left by 1 on the x axis

We would move to the left one value because negative is on the left side

For the y value, we would have to move 4 down on the y axis because this number is also negative.

So your graph should look like this

Hope this helps :)

B) "Some goat was eaten by a wolf" is a correct interpretation of the statement, because it means that there exists at least one goat that was eaten by a wolf.

The given statement can be translated as: "For all goats z, if z is eaten by a wolf, then there exists a wolf w such that w has eaten z."

A) "Every goat is eaten by a wolf" is not a correct interpretation of the statement. The correct interpretation is that if a goat is eaten by a wolf, then there exists at least one wolf that has eaten a goat.

B) "Some goat was eaten by a wolf" is a correct interpretation of the statement, because it means that there exists at least one goat that was eaten by a wolf.

C) "There is a wolf who has eaten every goat" is not a correct interpretation of the statement. The correct interpretation is that for each goat that is eaten, there exists at least one wolf that has eaten it.

D) "Every goat has eaten a wolf" is not a correct interpretation of the statement. The correct interpretation is that if a goat is eaten by a wolf, then there exists at least one wolf that has eaten a goat, but it does not imply that every goat has eaten a wolf.

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help

okay so first add help the subtract help help finally dividing the help^2 equally help/help

Answer:

67.99 or 68

Step-by-step explanation:

1) Take 3/4 and divide 3 into 4 the answer is .75

2) Take 3/8 and divide 3 into 8 answer is .375

3) Round .378 to .38

4) 26.38+ 26.38= 52.76

5) 120.75+52.76= 67.99

There is your answer and explanation. :)

Answer:

16.40

Step-by-step explanation:

use Pythagorean theorem

Hi!

So let's start with some variables.

w is width

L is length.

The length is 4 less than 5 times the width. Let's put that into an equation.

L = 5w - 4

The perimeter is 76.

The perimeter is L + L + w + w or

perimeter = 2L + 2w.

Which means that 1/2 of the perimeter = L + w.

We know the perimeter is 76, so half of 76 is 38.

38 = L + W.

Let's put length in terms of width and plug in the previous equation.

38 = 5w - 4 + w

Add the same variables

38 = 6w - 4

simplify

42 = 6w

w = 7

And plug that into the length equation that we had above to get

L = 35 - 4

L = 31

The correct answer is C: 7, 31

Answer:

1. C. 7, 31 cm

2. A. 43°, 137°

Step-by-step explanation:

1.

A. 14+14+66+66=160 (incorrect)

B. 7+7+27+27= 68 (incorrect)

C. 7+7+31+31= 76 (correct)

D. 7+7+39+39= 92 (incorrect)

For this question, they give you a red herring. Since it's a multiple choice question, you can just add their length and width and see if they add up to 76. Only C. 7, 31 cm dimensions add up to have a perimeter of 76.

2.

Supplementary angles add up to 180°

The formula is x° × 5 = y° × 2 - 59

A. 43° × 5 = 137° × 2 - 59 (correct)

B. 41° × 5 ≠ 139° × 2 - 59 (incorrect)

C. 39° × 5 ≠ 141° × 2 - 59 (incorrect)

D. 37° × 5 ≠ 143° × 2 - 59 (incorrect)

For this question, you can't add up the angle measurements because they all equal 180°. Since it's a multiple choice question, you can just try them and see which one fits. Only A. 43°, 137° has angles that fit our formula.

Answer:

144mn + 32m - 64

:)

Step-by-step explanation:

The center point of an ordered data set is the: mean.

The mean of any data set is the middle or center data point of the data set when the data set is ordered in increasing or descending order.

For example, the center point of the data set, 4, 6, 7, 8, 9 is 7. 7 is the mean of the data set.

Therefore, the center point is the mean.

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a. The scale factor is 2.

b. The lengths of GH, HJ, and JF are 13 m, 4 m, and 8 m respectively.

A scale factor is a number that is used to resize, a geometric figure. When a figure is scaled, all of its dimensions are multiplied by the scale factor.

The resulting figure is similar to the original figure, but it may be larger or smaller, depending on the value of the scale factor.

Here we have

ABCD ∼ FGHJ

Since both figures are similar

The ratio of the corresponding sides will be equal

a. Scale factor = AB/FG = 8m/ 4m = 2

b. Calculating JF, HJ, and GH  

As we know the ratio of the corresponding sides is equal

=> AB/FG = BC/GH = CD/HJ = AD/JF

From the figure,

=> 8 m /4 m = 26 m/GH = 8 m/HJ = 16/JF  

=>  26 m/GH = 8 m/HJ = 16/JF = 2

=> 26 m/GH = 2

=> GH = 13 m

=> 8 m/HJ = 2  

=> HJ = 4

=>  16/JF = 2  

=> JF = 8 m

Therefore,

a. The scale factor is 2.

b. The lengths of GH, HJ, and JF are 13 m, 4 m, and 8 m respectively.

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Answer:

Step-by-step explanation:

slide 1. match all the phrases with algebraic expressions

answers:

slide 2.

slide 3.

slide 4. im going down in each column

Phewwwww this took so long. hope it helps

The fries costs $1.49

Addition in math is a process of combining two or more numbers.

Given that, Keith ordered a hamburger for $2.25, a medium raspberry ice tea for $1.25, and a small sundae for  $1.25. He also ordered French fries. All of these items totalled $6.24.

Let the price of fries be x,

Therefore,

$2.25 + $1.25 + $1.25 + x = $6.24

$4.75 + x = $6.24

x = $6.24 - $4.75

x = $1.49

Hence, the fries costs $1.49

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The linear correlation coefficient is approximately 0.173.

To find the linear correlation coefficient (also known as Pearson's correlation coefficient) for the given data set, you can use the following formula:

r = [nΣ(xy) - (Σx)(Σy)] / sqrt{ [nΣ(x²) - (Σx)²] [nΣ(y²) - (Σy)²] }

Where:

n is the number of data points,

Σ represents the sum of the values,

Σ(xy) is the sum of the products of x and y,

Σ(x²) is the sum of the squared x values,

Σ(y²) is the sum of the squared y values.

Let's calculate the correlation coefficient step by step:

n = 5

Σx = 4 + 5 + 16 + 14 + 8 = 47

Σy = 15 + 29 + 15 + 25 + 27 = 111

Σ(xy) = (415) + (529) + (1615) + (1425) + (8*27) = 1258

Σ(x²) = (4²) + (5²) + (16²) + (14²) + (8²) = 401

Σ(y²) = (15²) + (29²) + (15²) + (25²) + (27²) = 2826

Now, substituting the values into the formula:

r = [5 * 1258 - (47 * 111)] / sqrt{ [5 * 401 - (47²)] * [5 * 2826 - (111²)] }

r = (6290 - 5217) / sqrt{ (2005 - 2209) * (14130 - 12321) }

r = 1073 / sqrt{ (-204) * (1819) }

r = 1073 / sqrt{ -371276 }

Therefore, the linear correlation coefficient is approximately 0.173.

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Answer:

a = -50/51

Step-by-step explanation:

1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0

  1 +   3 +   5 + ...  + 99 +   2a +    4a + ... + 98a + 100a = 0     Eq. 1

99 + 97 + 95 + ... +    1  + 98a + 96a + ... +   4a  +    2a  = 0    Eq. 2

Add Eq. 1 and Eq. 2

100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0

50(100)/2 + 50(102a)/2 = 0

2500 + 2550a = 0

2550a = -2500

a = -2500/2550

a = -250/255

a = -50/51

We need to show that all of the following conditions hold: a) The outcomes for x are countable and represent specific points on the real number line. b) The probability values, P(x), are between 0 and 1 for all x. c) The sum of all the probabilities, ΣP(X), is equal to 1. The correct answer is option d: All of the above.

In order for a probability distribution to be valid, it must satisfy certain criteria. First, the outcomes for x must be countable, meaning that they are specific points on the real number line. This ensures that the distribution is well-defined and that each outcome has a corresponding probability assigned to it.

Second, the probability values, P(x), must be between 0 and 1 for all x. Probabilities represent the likelihood of each outcome occurring, and they cannot be negative or greater than 1. This condition ensures that the probabilities are within a valid range.

Lastly, the sum of all the probabilities in the distribution must be        equal to 1. This means that when you add up the probabilities of all possible outcomes, the total probability should equal 1, indicating that one of the outcomes will occur.

By verifying that all of these conditions hold for the given probability distribution, we can conclude that it is a valid discrete probability distribution.

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Answer:

?????

Step-by-step explanation:

Answer:

90 + 90

Step-by-step explanation: