Castel bought one cantaloupe for $2. How
many cantaloupes can Kathryn buy if she
has $4?

Answer: 189 people preferred running.

Step-by-step explanation: 35% is equal to 35/100. Since 540 people were surveyed, we can multiply 35/100 by 540 to find that 189 people out of 540 preferred running. Hope this helps!

Answer:

(a) Yes, E and F are independent events.

(b) P(E and F) = P(E)P(F) = (1/2)(1/2) = 1/4

Answer: 4.55

Step-by-step explanation:

1. You have to divide weight ( 54.6) by the dozen of bricks ( 12). You can use a calculator or work it out yourself on paper. The end result should be 4.55 pounds.

Answer: 3

Step-by-step explanation:

5 X 3/5 = 3

Answer:

Using substitution (substituting 5y - 2 for 3x in 3x + 5y = 8), we have:

5y - 2 + 5y = 8

10y - 2 = 8

10y = 10

y = 1, so x = 1

(1, 1) is the point where these two lines intersect.

Answer:

15 dollars

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

Parentheses Exponents Multiplication Division Addition Subtraction

\(=(4-7)^2-6*7+20\\=(-3)^2-6*7+20\\=9-6*7+20\\=9-42+20\\=9-22\\=-13\)

The required simplified solution for the expression (4-7)²-6 x 7+20 is -13.

Given that,
Expression is given to simplify,
(4-7)²-6 x 7+20

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,

=  (4-7)²-6 x 7+20
Simplification,
=  (3)²-6 x 7+20
=  9 - 42 + 20
= 29 - 42
= -13

Thus, the required simplified solution for the given expression is -13.

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Answer:

..l

Step-by-step explanation:

Answer:

your

Step-by-step explanation:

self

The distance between the start of the walkway and the middle person is 52 feet.

It is given that a 100 foot long moving walkway moves at a constant rate 6 feet per second.

AI steps into the start of the walkway and stands this means speed of AI is 6 feet per second.

Bob steps onto the start of  he walkway two second later and stolls forward along walkway 4 feet per second that means 10 feet [per seconds.  

And CY reaches the starts of the walkway and walks briskly forward beside the walkway at a rate of 8 feet per second.

At the time s we gave that,

\(\frac{8(s-4)+10(s-2)}{2}\) = 6s

\(\frac{8s -32 + 10s - 20}{2}\)  = 6s

      18s - 52 = 12s

              6s  = 52

                s  = \(\frac{26}{3}\)

At the time AI has travels,  

6* \(\frac{26}{3}\) = 52 feet.

Therefore distance between the start of the walkway and the middle person is 52 feet.

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Answer: 121.9

Step-by-step explanation:

2.54 × 48 is 121.92

Answer: 121.9

Step-by-step explanation: 48×2.54=121.

Open and clear communication is crucial when discussing estate planning and wills with family members to prevent misunderstandings and hurt feelings.

1. It is understandable that Brennan and Maureen feel shocked and disappointed with the reduced inheritance.

While it is not required for parents to disclose every detail of their estate planning to their children, it would have been helpful if they had discussed the impact of the gifts on their estate and their final inheritance.

Clear communication can prevent misunderstandings and hurt feelings in the future.

2. Brennan and Maureen have a responsibility to discuss the will with their parents. It is essential to have an open and honest conversation about their parents' wishes and intentions to avoid any confusion or disputes in the future.

While it can be uncomfortable to talk about death and inheritance, it is a crucial conversation to have.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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The height of the box needs to be at least 14 mm to fit the pyramid. So option C is correct.

The volume of a pyramid is given by the formula:

V = (1/3) * B * h

where V is the volume, B is the area of the base, and h is the height.

In this case, we are given that the volume of the pyramid is 224 mm^3, and the dimensions of the base are 8 mm and 6 mm. Therefore, the area of the base is:

B = 8 mm * 6 mm = 48 mm^2

We are also given the height of the box, but we need to check if it is sufficient to fit the pyramid. We can rearrange the formula for the volume of a pyramid to solve for the height:

h = (3V) / (B)

Plugging in the given values, we get:

h = (3 * 224 mm^3) / (48 mm^2) = 14mm

Therefore, the height of the box needs to be at least 14 mm to fit the pyramid.

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Answer:

vertical translation DOWN 2 units

Step-by-step explanation:

y' = y - 2

Answer:

Translation 2 Units Down

Step-by-step explanation:

I took the quiz

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer:

Step-by-step explanation:

-7-1=-8

Answer:

If one earthquake is 31 times as intense as another, how much larger is its magnitude on the Richter scale? The larger earthquake was 1.49 larger on the Richter scale.

Step-by-step explanation:

i hope it help

Answer:

-15.874507866387544

Step-by-step explanation:

I used a calculator to find the square root of 252 then I just added a negative sing in front of it.

Answer:

The cost of one yard of ribbon is 1.2 dollars/yard

Explanation:

Given that;

20 yards of ribbon cost 24 dollars.

The cost of one yard of ribbon can be calculated by dividing the total cost by the number of yards;

Therefore, the cost of one yard of ribbon is 1.2 dollars/yard

The distribution of X can be approximated by a normal distribution with mean 0.705 and standard deviation 0.033.

\

Probability theory, a subfield of mathematics, quantifies the likelihood that an event will take place or that a statement is true. The probability for an event happening is a number between 0 and 1, where around 0 indicates how likely the occurrence is to occur and 1 indicates certainty. A value of probability is a mathematical representation of the likelihood that a certain event will occur. The range of percentages that can be used to indicate probabilities is 0% to 100% along with 0 to 1. the probability of occurrences in a whole collection of identically probable possibilities that results in a certain occurrence divided by the number of outcomes.

given,

That's correct. By the central limit theorem, the sample proportion X, which represents the proportion of fully vaccinated residents in the sample, will follow an approximately normal distribution with mean equal to the population proportion (p) and standard deviation equal to the square root of [(p)(1-p)/n], where n is the sample size.

In this case, p = 0.705 (70.5% expressed as a decimal), and n = 250. Therefore, the mean of the sample proportion distribution is:

μ = p = 0.705

And the standard deviation is:

σ = √[(p)(1-p)/n] = √[(0.705)(0.295)/250] = 0.033

So the distribution of X can be approximated by a normal distribution with mean 0.705 and standard deviation 0.033.

We can use this distribution to calculate probabilities or confidence intervals for the sample proportion of fully vaccinated residents in different scenarios.

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The work required to pump the water out of the spout is approximately 64,307,077 ft-lb

To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.

First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.

Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:

V = (1/3)π(12)(9 + 36 + 18) = 270π ft³

Now, we can calculate the weight of the water using the density of water:

Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb

Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):

Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²

Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:

Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft

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Answer: B C E

Step-by-step explanation:

Transformation includes moving a shape from its original position.

(a) Sequence of transformation

From the graph, we observe that

(b) Transformation mapping

Represent the coordinate of X with \((x,y).\)

The rule of the first transformation, when reflected across the y-axis is

\((x,y) \to (-x,y)\)

The rule of the second transformation, when shifted 1 unit left is:

\((x,y) \to (x - 1,y)\)

This gives:

\((-x,y) \to (-x - 1,y)\)

Hence, the transformation mapping is:

\((x,y) \to (-x - 1,y)\)

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The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

Answer: 5 up and 7 side

Step-by-step explanation:

The test statistic (37.96) is greater than the critical value (11.345), we can reject the null hypothesis and conclude that there is a significant relationship between admission date and birthday.

The test statistic for this test is calculated by summing the squared differences between the observed and expected frequencies in each category, divided by the expected frequency in that category. This formula is:

X² = ∑(observed - expected)² / expected

The degrees of freedom for this test are equal to the number of categories minus one (4-1=3). Using a significance level of 0.01, the critical value for this test is 11.345.

To calculate the test statistic for this sample, we first need to calculate the expected frequencies. Each category should have an expected frequency of 196/4 = 49.

Category 1: expected frequency = 49, observed frequency = 12

Category 2: expected frequency = 49, observed frequency = 22

Category 3: expected frequency = 49, observed frequency = 65

Category 4: expected frequency = 49, observed frequency = 97

Using the formula above, we can calculate the test statistic:

X² = [(12-49)²/49] + [(22-49)²/49] + [(65-49)²/49] + [(97-49)²/49]

X² = 37.96

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Complete Question:

An article focuses on the existence of any relationship between the date of patient admission for treatment of alcoholism and the patient's birthday. Assuming a 365-day year (i.e., excluding leap year), in the absence of any relation, a patient's admission date is equally likely to be any one of the 365 possible days. The investigators established four different admission categories: (1) within 7 days of birthday, (2) between 8 and 30 days, inclusive, from the birthday, (3) between 31 and 90 days, inclusive, from the birthday, and (4) more than 90 days from the birthday. A sample of 196patients gave observed frequencies of 12, 22, 65, and 97 for categories 1, 2, 3, and 4, respectively. State and test the relevant hypotheses using a significance level of 0.01. Calculate the test statistic.

To turn the specified limit, which is a Riemann sum, within the known interval, [2, 6], and variable, \(x_i\), to a definite integral, the value, Δx is dx as n approaches infinity, to get;

\(\displaystyle \lim\limits_{n\to \infty}\sum\limits^n_{i=1}x_i\cdot \ln \left(1+x_i^2 \right) \Delta x, [2, \,6] = \int\limits^6_2 {x\cdot \ln \left(1+x_i^2 \right)} \, dx\)

A Riemann sum is an approximation of an integral, which is the area of a region, by making use of the sum of simplified slices that make up the region.

A definite integral is a calculation used to find the area under a graph of a function by making use of very small or infinitesimal stripes of the region under the graph of the function.

The expression in the question is a Riemann sum

\(\lim\limits_{n \to \infty} \sum\limits_{i=1}^n x_i\cdot ln \left(1 + x_i^2 \right) \Delta x, [2, 6]\)

The Riemann sum can be converted into a definite integral, using the equation, \(\displaystyle{\lim\limits_{n \to \infty} \sum\limits_{i=1}^n f(x_i)\Delta x = \int\limits^b_a {f(x)} \, dx }\)as follows;

The value of Δx is the value which values in the parenthesis are multiplying on the left, therefore; Δx is replaced with dx, as n → ∞

The limits of the Riemann sum in the question = [2, 6]

\(f(x_i) = x_i \cdot \ln\left(1 + x_i^2 \right)\), therefore, \(f(x) = x \cdot \ln\left(1 + x^2 \right)\)

Plugging in the the above values into the expression for the Riemann sum, we get the following definite integral;

\(\displaystyle{\lim\limits_{n \to \infty} \sum\limits_{i=1}^n x_i\cdot \ln \left(1 + x_i^2 \right) \Delta x, [2, 6] = \int\limits^6_2 {x\cdot \ln\left(1 + x^2\right)} \, dx\)

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