Amelia is buying the five toys shown below.
A. Between $10 and $12
B. Between $13 and $15
C. Between $16 and $18
D.Between $19 and $21

Answer: -1.5x

Step-by-step explanation: Um, I think your explanation would be to subtract 5 on both sides which would be -3, and then divide by two on both sides which equals -1.5, and -1.5 equals A, and the final answer is -1.5x.

Hope it helps!!!!

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Answer: 2/125

Explanation:

I hope this helped!

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Answer:

16/1,000

Understanding place values:

The first 0 before the decimal point in 0.016 represents ones, the 0 after the decimal point represents tenths, the 1 represents hundredths and the 6 represents thousandths. We use 1,000 in our fraction because of the place value.

Step-by-step explanation:

1. Convert 0.016 into a fraction:

   0.016 = 16/1,000

2. Simpilfy the fraction 16/1,000:

   16/1,000 ÷ 8 = 2/125

2/125 is equivalent to 0.016

Side Note: Step 2. is only for people looking for the simplified answer!

            ~Hope this helps!

           ~Hocus Pocus

By combinations, there are 210 10 bit strings which contains exactly 4 ones.

To find out how many 10-bit strings there are that contain exactly 4 ones, we can use the binomial coefficient formula.

The binomial coefficient formula is given by `C(n, k) = n! / (k! * (n-k)!)`,

where,

n is the total number of items, and k is the number of items

we want to choose from n. In this case, we want to choose 4 ones from 10 bits, so n = 10 and k = 4. Therefore, the number of 10-bit strings that contain exactly 4 ones is:

`C(10, 4) = 10! / (4! * (10-4)!) = 210`.

Hence, there are 210 10-bit strings that contain exactly 4 ones.

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The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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Answer:

Step-by-step explanation:

you have a rotation angle of 360 °, take out the known values ​​(360 ° -90 ° -144 ° = 126), 144 ° is part of a flat angle of 180 °, from 180 ° remove 144 and you have 36 °, they are opposite angles therefore the same. therefore 360 ​​- 144 - 90 - 36 - 36 = 54.

54 is 3x, so x = 18 ° (54 : 3 = 18)

Answer:

s = 2d/t

st = 2d

final answer : st/2 = d

The expected number of times that the dice will land on a value greater than 3 is given as follows:

The parameters that are needed to calculate a probability are listed as follows:

For a dice, we have that:

Hence the probability for a single dice is given as follows:

3/6 = 1/2.

Then, out of 50 trials, the expected number is given as follows:

E(X) = 50 x 1/2

E(X) = 25.

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The distance (in ft) from the boat to the dock when the length l is 55 feet will be; 52.91 ft.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

\(|AC|^2 = |AB|^2 + |BC|^2\)

Given that the rope is attached to the boat at a point 15 feet below the level of the winch.

Using Pythagoras' theorem, we get;

l² = x² + 15²

Therefore, an equation giving the relationship between l and x will be; l² = x² + 15²

B. The distance (in ft) from the boat to the dock when the length l is 55 feet.

l² = x² + 15²

55² = x² + 15²

x² = 55² - 15²

x² = 3025 - 225

x² = 2800

x = 52.91 ft

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Answer:

I believe your favorite subject maybe Science and World geography

Step-by-step explanation:

I am not sure : )

In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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Answer:

rises sharply on the right

Step-by-step explanation:

Answer:

-0.1, -2/12, 1/9 (smallest to largest)

Answer:

If we are solving for 'k,' then k = -9

Answer: 689 bags

Step-by-step explanation:

From the question, we are informed that a snack food company produced 4,823 ounces of bite sized cookies and the company wants to put the bite sized cookies into 7 ounces.

To calculate the number of bags that the company will be able to fill, we divide 4,823 ounces by 7 ounces. Mathematically, this will be:

= 4823 ounces ÷ 7 ounces

= 689 bags

The angle that satisfies the necessary requirements is  1041° - 2(360°) = 321°. Coterminal angles are those with the same terminal point in the standard position.

To understand, follow the 2 basic steps:

Step 1: Find the specified angle.

Step 2: Finding a coterminal angle.

Tally up or tally down a multiple of 360.

θ = 1041°

Every multiple of 360 degrees added or subtracted results in an angle that is coterminal with the provided angle.

Hence, 1041° - 2(360°) = 321° is an angle that satisfies the necessary requirements.

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The 95% confidence interval for the proportion of students supporting the fee increase is (0.6453, 0.7013), indicating with 95% confidence where the true proportion of supporters is likely to fall based on the sample data.

Using the given information, the sample proportion of students supporting the fee increase is 1,010/1,500 = 0.6733. To find the confidence interval for the population proportion, we can use the formula:

CI = p ± z*√(p(1-p)/n)

where p is the sample proportion, z is the z-score corresponding to the level of confidence (95% in this case), and n is the sample size.

Using a standard normal distribution table or calculator, the z-score for a 95% confidence level is approximately 1.96.

Plugging in the values, we get:

CI = 0.6733 ± 1.96 * √(0.6733*(1-0.6733)/1500)

CI = 0.6733 ± 0.028

Therefore, the 95% confidence interval for the proportion of students supporting the fee increase is (0.6453, 0.7013) to the nearest thousandth.

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The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement is 0.45%.

The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement can be calculated as follows:

First, we calculate the probability of drawing an ace on the first draw. Since there are four aces in the deck and 52 cards in total, the probability of drawing an ace on the first draw is:

P(Ace on first draw) = 4/52 = 1/13

Next, we need to calculate the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw. Since there are now only three aces remaining in the deck and 51 cards in total, the probability of drawing an ace on the second draw is:

P(Ace on second draw given an ace on first draw) = 3/51

To calculate the probability of drawing two aces, we multiply the probability of drawing an ace on the first draw by the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw:

P(Drawing two aces) = P(Ace on first draw) x P(Ace on second draw given an ace on first draw)

P(Drawing two aces) = (1/13) x (3/51)

P(Drawing two aces) = 0.0045 or approximately 0.45%.

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The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

\(\lim_{x \to c } F(x) = L\)

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

\(F(x) = -x+8 ,x\leq 0\)

\(F(x) = 4x+9 , if x > 0\)

\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)

\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)

\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)

So limit doesn't exist

For limit to exist

\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)

must be satisfied

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[x, y, 3], where x and y can take any real values. To find a vector equation of the plane that is perpendicular to the x-axis and contains the point P(1, 1, 3),

we need a vector that is perpendicular to the x-axis.

The x-axis is parallel to the vector [1, 0, 0]. To find a vector perpendicular to the x-axis, we can take the cross product of [1, 0, 0] with any other vector.

[0, 0, 1]

The cross product [0, 0, 1] is perpendicular to both [1, 0, 0] and [0, 1, 0]. This will serve as the normal vector to the plane.

Now we can write the vector equation of the plane using the point-normal form:

N · (r - P) = 0

where N is the normal vector, r is a position vector in the plane, and P is the given point on the plane.

Substituting the values, we have:

[0, 0, 1] · ([x, y, z] - [1, 1, 3]) = 0

Simplifying:

[0, 0, 1] · [x - 1, y - 1, z - 3] = 0

0 + 0 + (z - 3) = 0

z - 3 = 0

z = 3

So, the vector equation of the plane that is perpendicular to the x-axis and contains the point P(1, 1, 3) is:

[x, y, 3], where x and y can take any real values.

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Answer:

It's the B

Step-by-step explanation:

Multiply - 3 by 4x = - 12x

Multiply - 3 by - 0.5 = 1.5

Hope this helps, have a good day

Answer:4.3216*10^-3

Step-by-step explanation:

Answer:

4.3216*10^(-3)

Step-by-step explanation:

Moving the decimal point 3 places to the right results in 4.3216*10^(-3), which is in standard form.

The number of pivot columns of a matrix equals the dimension of its column space is true statement.

As given in the question,

The number of pivot columns of a matrix equals the dimension of its column space is true statement as per following reasons

Therefore, the number of pivot columns of a matrix equals the dimension of its column space.

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Answer:

-2.5

Step-by-step explanation:

-2.5 is a rational number and no an integer while 10/5 can be an integer because when it is simplified it equals 2 so your answer would be -2.4

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

The given function y = 3.28x converts length from x meters to y feet.

To graph the function, we can plot a few points and connect them.

Here are some points that we can plot:

x (meters) y (feet)0 03.28 10.7613.12 42.9456.56 214.5489.14 299.8720 65.6160 524.9340.3048 1

Since y depends on x, x is the independent variable, and y is the dependent variable.

We can see that as the value of x increases, so does the value of y, which means that the graph slopes upward

The domain of a function is the set of all values that the independent variable can take on. Since we can have any positive value of x (in meters), the domain of this function is continuous.

In conclusion, the given function y = 3.28x converts length from x meters to y feet. x is the independent variable, and y is the dependent variable. The graph of the function slopes upward, indicating that as x increases, y also increases. The domain of the function is continuous because x can take on any positive value.

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For a Dot plot of time taken in math class by students in a 7th grade, the mean commute time is equal to the 23.75 minutes.

Mean is a statistical measures. It is calculated by the addition of all data values divided by number of data values. It is denoted by \(\bar X\).

That is \(\bar X = \frac{ \sum X_i}{ n}\), where

We have a Dot plot which represents time it takes students in a 7th grade math class to get to school every morning. We have to determine mean of compete time in minutes. See the above figure carefully, and concluded the value,

Time students

5 4

10 0

15 4

20 4

25 2

30 2

35 5

40 2

45 1

Using above mean formula, \(\bar X = \frac{ (4×5+ 0 ×10+ 15×4 + 20×4 + 25×2 + 30×2 + 35×5 + 40×2 + 45× 1)}{24}\)

= 23.75

Hence, mean value is 23.75 minutes.

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Complete question:

The above figure complete the question

the dot plot below represents how long it takes students in a 7th grade math class to get to school every morning. commute time commute time minutes what was the mean commute time? minutes