what is the solution to the following ?
x>

Answer:

rainy

Step-by-step explanation:

because of the rain cloud is problye going to rain.

OTTO makes deliveries for restaurant the data in the table represents a proportional relationship between the Distance and Time.

The concept of proportionality states that two variables are proportional to one another if they have a constant ratio.

This means that when one variable changes, the other changes in a way that maintains the same ratio between the two. In the case of OTTO's deliveries, the distance and time it takes to make a delivery have a proportional relationship, meaning that the ratio of distance to time is constant.

The table below represents the data for OTTO's deliveries.

  Distance (in miles)                               Time (in minutes)             1048.5221175828187.                         5100239412596.5232

To determine if the relationship between distance and time is proportional, we can check if the ratio of distance to time is constant.

We can use any two pairs of values from the table to test this.

Let's use the first and fourth pairs:

                          10 miles ÷ 48.5 minutes

                                        = 0.2062 miles/minute

                          23 miles ÷ 96.5 minutes

                                       = 0.2387 miles/minute

Therefore, we cannot use proportionality to predict how long it will take to make a delivery of a certain distance.

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Answer:

Step-by-step explanation:

Yes, "x" and "y" have proportional relationship as shown by the graph passing through (5, 20) and (10, 40), indicating a consistent doubling of "y" with a proportional change in "x", option (a) is correct.

This can be deduced from the fact that the graph passes through the points (5, 20) and (10, 40), which means that as the volume of water (x) doubles from 5 to 10 liters, the number of scoops of juice mix (y) also doubles from 20 to 40.

This consistent doubling of y with a proportional change in x indicates a direct proportionality between the two variables.

Therefore, The correct option is (a) Yes.

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The given question is incomplete, the complete question is

Quincy's class is having a holiday party, and he is in charge of bringing juice. He decides to bring powdered juice mix and add water to it at school.

This graph shows the relationship between the volume of water Quincy uses to make the juice (in liters), x, and the number of scoops of juice mix he uses, y.

Do "x" and "y" have a proportional relationship?

(a) Yes

(b) No

Answer:

\({ \rm{ \frac{ {4}^{a + 2} + {4}^{a} }{17 \times {4}^{a} } }} \\ \\ = { \rm{ \frac{( {4}^{a} \times {4}^{2} ) + {4}^{a} }{17 \times {4}^{a} } }} \\ \\ = { \rm{ \frac{ {4}^{a} }{ {4}^{a} } ( \frac{ {4}^{2} + 1}{17}) }} \\ \\ = { \rm{ \frac{ {4}^{2} + 1 }{17} }} \\ \\ = { \rm{ \frac{16 + 1}{17} }} \\ \\ { \rm{ = \frac{17}{17} }} \\ \\ = 1\)

hence proved

Answer:

Explanation:

Given the expression:

This can be written as a difference of two squares. But before that, we can rewrite the expression as:

So, as a different of two squares, we write:

Answer:

4

Step-by-step explanation:

You have to divide, 36 divided by 9 is 4, so that is the answer.

Answer:

22

Step-by-step explanation:

F(5)= 5(5) -3 (Replace x by 5)

F(5)= 25-3 (Solve for 5 and 5)

F(5)= 22 (Simplify)

22 (Answer)

Using the Central Limit Theorem, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.

In this problem, we have that the standard deviation and the sample size are given as follows:

\(\sigma = 10.34, n = 400\)

Hence the standard error is given by:

\(s = \frac{10.34}{\sqrt{400}} = 0.517.

Two standard errors is represented by:

2 x 0.517 = $1.034.

Hence, the branch manager can be 95% certain that the sample mean will fall within $1.034 of the mean.

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Answer:

3. 2.1            4. 6.4

Step-by-step explanation:

Answer: 2.1

Step-by-step explanation:

\(\{2,3\}\) is a set containing two elements - numbers 2 and 3

\(\{\{2,3\}\}\) is a set containing one element - a set \(\{2,3\}\)

To determine whether there is enough evidence to reject the null hypothesis, we need to compare the computed test statistic to the critical value.

In this case, the computed test statistic is 2.50 and the critical value is 2.33. If the computed test statistic falls in the rejection region beyond the critical value, we can reject the null hypothesis. Conversely, if the computed test statistic falls within the non-rejection region, we fail to reject the null hypothesis.In this scenario, since the computed test statistic (2.50) is greater than the critical value (2.33), it falls in the rejection region. This means that the observed data is unlikely to occur if the null hypothesis were true.

Therefore, based on the given information, there is enough evidence for the emergency room nurse to reject the null hypothesis. This suggests that there is sufficient evidence to support the claim that the average number of cases of upper respiratory infections per day at the hospital is over 21 cases.

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There is enough evidence to reject the null hypothesis in this case because the computed test statistic (2.50) is higher than the critical value (2.33). This suggests the average number of daily respiratory infections exceeds 21, providing substantial evidence against the null hypothesis.

Yes, there is enough evidence for the emergency room nurse to reject the null hypothesis. The null hypothesis is typically a claim of no difference or no effect. In this case, the null hypothesis would be an average of 21 upper respiratory infections per day. The test statistic computed (2.50) exceeds the critical value (2.33). This suggests that the average daily cases indeed exceed 21, hence providing enough evidence to reject the null hypothesis.

It's crucial to understand that when the test statistic is larger than the critical value, we reject the null hypothesis because the observed sample is inconsistent with the null hypothesis. The statistical test indicated a significant difference, upheld by the test statistic value of 2.50. The significance level (alpha) of 0.05 is a commonly used threshold for significance in scientific studies. In this context, the finding suggests that the increase in respiratory infection cases is statistically significant, and the null hypothesis can be rejected.

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Answer:

B. Area B = 17 x 3 C. Area A=11 x 12

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Age will be 40 years old.

R, in beats per minute, can be approximated by the formulas, where a represents the person's age.

where R= 143 - 0.65a for women.... (1)

and R= 165 - 0.75a for men,..... (2)

So by implementing these two equation we get a = 40

If the sum of ages is X and Y, and the ratio of their ages is p:q, then the age of Y can be calculated using the formula shown below: Y's age = Y's ratio/Sum of ratios x sum of ages The age dependency ratio is the ratio of dependents (people under the age of 15 or over the age of 64) to the working-age population (people between the ages of 15 and 64). The proportion of dependents per 100 working-age population is shown in the data.

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Answer:

$180 + $15d

Step-by-step explanation:

Since Carol's Car Rentals offers a deal of $180 down payment  + $15 per day and AL's Auto Rentals offer a deal of $250 down payment  $5 per day. To calculate the cost of Carol's Car Rentals deal, we use the formula:

cost of Carol's Car Rentals = Down payment + cost per day.

If you are to rent at Carol's Car Rentals for d days; The cost of Carol's Car Rentals = Down payment + cost per day = $180 + $15 per day × d days

cost of Carol's Car Rentals = $180 + $15d

Answer:

Step-by-step explanation:

to find this all you need to do is divide the total price by the number of units you have. in this case 38.50 / 2 = 19.25 per pizza

Hello there! :)

If 2 pizzas cost 38.50 dollars, then we have to dibvide by 2 to find out the price of one pizza.

$19.25

Hope this helps!

~Just a felicitous girlie

#HaveAnAwesomeDay

\(SilentNature :)\)

9514 1404 393

Answer:

  (x, y, z) = (49, 58, 122)

Step-by-step explanation:

The same-side exterior angles have a sum of 180°.

  (x +9) +(3x -25) = 180

  4x -16 = 180

  x -4 = 45

  x = 49

Vertical angles are congruent:

  y = 49 +9 = 58

  z = 180 -y = 122 = 3(49) -25

The values of x, y, and z are ...

There will be "sample size."=102 Below is an additional explanation.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

In order to better grasp probability, let's look at a straightforward application.

Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.

There is a chance that it will rain or not. Here, probability can be used. Using probability, one may forecast the results of a coin toss, a roll of the dice, or a card draw.

hence, There will be "sample size."=102 Below is an additional explanation.

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Answer:

2x+4

Step-by-step explanation:

Trust me

Answer:

C-All real numbers less than or equal to 40

Step-by-step explanation:

none of the other answers make any sense

An all-night study session can help you catch up on school assignments. The only way to become a straight-A student is efficient study habits.

Most students pseudo-work and end up wasting valuable time.

The correct option is (C)

This is based on an article about pseudo-working which is something that students do where they read for long hours and appear very serious in reading when in fact they do not focus on the reading and therefore end up not grasping much.

The author was trying to express that most students do this and that it is simply a waste of time which could have been spent actually studying.

The correct option is (C).

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The given question is incomplete, complete question is:

What central idea about studying does the author express in Passage 1?

A Straight-A students know how to work harder than other students.

B The only way to become a straight-A student is efficient study habits.

C Most students pseudo-work and end up wasting valuable time.

D An all-night study session can help you catch up on school assignments.

a. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis. b. the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

a) Rachel's budget line equation can be written as follows:

Budget = (Price of Hamburger * Quantity of Hamburgers) + (Price of Figs * Quantity of Figs)

Since the price per hamburger is $3 and the price per bag of figs is $2, the equation becomes:

Budget = 3x + 2y

Where x represents the quantity of hamburgers and y represents the quantity of bags of figs. The graph of the budget line would have hamburgers on the x-axis and bags of figs on the y-axis.

b) If the price of figs increases to $3, the new budget line equation becomes:

Budget = 3x + 3y

The graph of the new budget line would show a steeper slope compared to the original budget line. This indicates that the relative price of figs has increased, making them relatively more expensive compared to hamburgers.

c) In this scenario, Rachel has an income of $50, the price per hamburger is $3, the price per bag of figs is $3, and she receives an additional $10 in cash from a friend. The new budget line equation can be written as:

Budget = (3x + 3y) + 10

The graph of the new budget line would shift upward parallel to the original budget line. The additional cash from Rachel's friend increases her purchasing power, allowing her to afford more hamburgers and/or bags of figs.

d) Now, Rachel's friend gives her a gift basket containing 3 free bags of figs. In this case, the budget line equation remains the same as in part c:

Budget = (3x + 3y) + 10

However, since Rachel receives 3 free bags of figs, she can allocate more of her budget towards purchasing hamburgers. This would cause the budget line to rotate outward from the y-intercept, resulting in a flatter slope. The new budget line would reflect Rachel's ability to purchase more hamburgers with the same income and price of figs.

In summary, the budget line equation represents Rachel's affordability based on her income and the prices of hamburgers and figs. Changes in prices, income, or additional resources can affect the slope, position, or rotation of the budget line on a graph.

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a) The probability that both the husband and the wife will be audited is 0.04.

b) The probability that only one of them will be audited is 0.32.

c) The probability that neither one of them will be audited is 0.36.

d) The probability that at least one of them will be audited is 0.36.

(a) The probability that both the husband and the wife will be audited is calculated by multiplying the probability that the husband will be audited by the probability that the wife will be audited. Since the audits are assumed to be independent, we can use the multiplication rule of probability:

P(both audited) = P(husband audited) x P(wife audited)

= 0.2 x 0.2

= 0.04

(b) The probability that only one of them will be audited can be calculated in two ways: either the husband is audited and the wife is not, or the wife is audited and the husband is not. Since these events are mutually exclusive, we can use the addition rule of probability:

P(one audited) = P(husband audited and wife not audited) + P(wife audited and husband not audited)

= (0.2 x 0.8) + (0.8 x 0.2)

= 0.32

(c) The probability that neither one of them will be audited is the complement of the probability that at least one of them will be audited. Using the complement rule of probability, we can write:

P(neither audited) = 1 - P(at least one audited)

We can find the probability that at least one of them will be audited by subtracting the probability that neither of them will be audited from 1. So:

P(at least one audited) = 1 - P(neither audited)

= 1 - (0.8 x 0.8)

= 0.36

(d) The probability that at least one of them will be audited is 0.36, as we found in part (c).

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Answer:

70

Step-by-step explanation

Find the diagram attached

Average = Sum of scores/sample size

Given the 7 numbers

20, 20, 20, 30, 80, 80, 80

Average = 50

5 = 20+20+20+30+80+80+80+x/8

x is the score of the 8th student

50 = 330+x/8

400 = 330+x

x = 400-330

x = 70

Hence the score of the 8th student is 70

Answer:

Actual answer would be 77.75 but you would answer as 78 I believe.

Step-by-step explanation:

Since they're over the same denominator this means that 4n= 311.

311/4=n

n=77.75

Or for you it would be 78 rounded up.

Or for a fraction it would be 77 1/4.

(Thanks for reminding me)

Answer:

3/6

Step-by-step explanation:

The statement is false. The function f(x) = 5 cannot be written as f(x) = 51, and the calculation f'(x) = 1.51 - 1 = 1.50 = 1.1 = 1 is incorrect.

In the given statement, f(x) = 5 represents a constant function, where the output value is always 5 regardless of the input value x. Writing f(x) = 51 would be incorrect and not equivalent to f(x) = 5. The value of 51 does not represent the function's behavior or its relationship to the input variable x.

Moreover, the calculation f'(x) = 1.51 - 1 = 1.50 = 1.1 = 1 is also incorrect. The derivative of a constant function, such as f(x) = 5, is always zero. Taking the derivative of a constant function yields f'(x) = 0, not 1. The given calculation attempts to manipulate the numbers in an incorrect manner, leading to an erroneous result.

In conclusion, the function f(x) = 5 cannot be written as f(x) = 51, and the calculation f'(x) = 1.51 - 1 = 1.50 = 1.1 = 1 is incorrect.

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