It costs Sarah $0.05 to send a text message. If her total charge for sending text messages was $1.45, how many texts did she send?

Answer:

Let's call the total area of the common space "A". Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm, which means that one foot on the plan represents 4 cm in real life. So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3. And the area of the social area on the plan is (2A/3) / 4.

Area of the social area on the plan is (2A/3) / 4.

Here,

Let the total area of the common space "A".

Since the quiet area takes up one-third of the space, its area is A/3.

The scale of the plan is 1 ft.: 4 cm

So,

One foot on the plan represents 4 cm in real life.

So, the area of the social area on the plan is 4 times smaller than the actual area of the social space.

Therefore, the actual area of the social space is (A - A/3) = 2A/3.

Thus the area of the social area on the plan is (2A/3) / 4.

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When we measure a ECG waveform the large boxes represents 0.2 seconds.

To determine the measurements of the big box on ECG paper, we need to consider the standard calibration of ECG paper.

In most ECG papers, the standard calibration is as follows:

These measurements allow for accurate interpretation of the ECG waveform and analysis of heart activity.

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Answer:

I'm 99% sure this is the answer: -9,0,3,4,5

Step-by-step explanation:

Answer:

-9, 0, 3, 4, 5

Step-by-step explanation:

when you go from left to right on a number line the numbers increase and increase. So the numbers in least to greatest form

-9, 0, 3, 4, 5

The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

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Based on the given graph, the average rate of change from x=1 to x = 4 is - ²/₃

To find the average rate of change which is the slope, the formula is:

= (Y₂ - Y₁) / (x₂ - x₁)

The coordinates of x = 1 and x = 4 are:

(1, 5) and (4, 3)

Average rate of change is:
= (3 - 5) / (4 - 1)

= -2 / 3

= - ²/₃

In conclusion, the average rate of change is - ²/₃.

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Answer:

C

Step-by-step explanation:

first you need to memorize

SOH CAH TOA

IT means

Sine =opposite/hipotenuse

Cosine = adjecent/hipotenuse

tangent = opposite/adjecent

in this case, we need to find sine

so it's SOH

opposite of theta Θ is 15

and it's hipotenuse , we don't know yet. so need to find it by using Pythagorean theorem

let it be x

x =√ 15²+ 8²

=√ 225+ 64

=√289

= 17

so the answer is 15/17

The correct expression for the inverse proportion is k/7 = 3/1

Given the inequality xy = k

If y is inversely proportional to x, then;

y = k/x

Given that y = 3, and  x = 7, then;

3 = k/7

Swap

k/7 = 3

k/7 = 3/1

Hence the correct expression for the inverse proportion is k/7 = 3/1

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The mean retirement age in the census report is 68.3 years.

The given information states that the population mean retirement age is 68.3 years, and a random sample of retirement age has a sample mean of 65.8 years. We can use this information to estimate the population mean with a certain level of confidence.

However, the question asks us to find the mean of 68.3 years, which is simply the given population mean. Therefore, we can state that the mean of 68.3 years remains the same, as it is not affected by the sample mean or any other sample statistic.

In other words, the population mean of 68.3 years is a fixed value, and it does not change based on the sample mean or any other sample statistic. Therefore, we can simply state that the mean retirement age is 68.3 years, which is the given information provided in the question.

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For strings of length 7 with no repeated characters, there are 1,814,400 possible passwords. For strings of length 6 with no repeated characters and the first character not being a special character, there are 30,240 possible passwords.

To compute the number of passwords that satisfy the given constraints, let's analyze each case separately:

(i) Strings of length 7 with no repeated characters:

In this case, the first character can be any character except a special character. The remaining six characters can be chosen from the set of digits, special characters, or letters, with no repetition.

1. First character: Any character except a special character, so there are 10 choices.

2. Remaining characters: 10 choices for the first position, 9 choices for the second position, 8 choices for the third position, and so on until 5 choices for the sixth position.

Therefore, the total number of passwords that satisfy the constraints for strings of length 7 is:

10 * 10 * 9 * 8 * 7 * 6 * 5 = 1,814,400 passwords.

(ii) Strings of length 6 with no repeated characters and the first character not being a special character:

In this case, the first character cannot be a special character, so there are 10 choices for the first character (digits or letters). The remaining five characters can be chosen from the set of digits, special characters, or letters, with no repetition.

1. First character: Any digit (0-9) or letter (a-z, A-Z), so there are 10 choices.

2. Remaining characters: 10 choices for the second position, 9 choices for the third position, 8 choices for the fourth position, and so on until 6 choices for the sixth position.

Therefore, the total number of passwords that satisfy the constraints for strings of length 6 is:

10 * 10 * 9 * 8 * 7 * 6 = 30,240 passwords.

Note: It seems there's a typo in the "Special characters" set definition. The third character, "8. #\", appears to be a combination of characters rather than a single character.

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Based on the given information, we have the mean concentration of sodium in the drinking water of a water system in Connecticut as 26.4 mg/l and the standard deviation as 6 mg/l.

The water department selects a simple random sample of 32 water specimens over the course of a year. To answer the question using the distributions tool, we need to set the mean and standard deviation parameters on the tool to the expected mean and standard error for the distribution of sample mean concentrations.

The expected mean for the distribution of sample mean concentrations is the same as the mean concentration of sodium in the drinking water, which is 26.4 mg/l.

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The water department in Connecticut is monitoring the concentration of sodium in their drinking water. By calculating the mean and standard error for the distribution of sample means, they can determine the probability of the mean concentration exceeding the notification level of 28 mg/l. If this probability is low, the water department will notify the public and recommend necessary actions.

In this scenario, the water department in Connecticut wants to monitor the concentration of sodium in their drinking water. They have set a notification level of 28 mg/l, meaning that if the mean concentration of sodium across a sample of 32 water specimens exceeds this level, they will notify the public.

To analyze this situation, we can use the distribution of sample means. The mean concentration of sodium in the drinking water of the water system is given as 26.4 mg/l, with a standard deviation of 6 mg/l.

To find the expected mean and standard error for the distribution of sample means, we can use the following formulas:

Expected mean of sample means = population mean

                                                        = 26.4 mg/l
Standard error of sample means = population standard deviation / square root of sample size

Using the given values, the standard error of sample means can be calculated as follows:
Standard error of sample means = 6 mg/l / square root of 32

                                                      ≈ 1.06 mg/l

Now, we can use a distributions tool to find the probability that the mean concentration of sodium in the sample of 32 water specimens exceeds 28 mg/l. We will set the mean parameter on the tool to 26.4 mg/l and the standard deviation parameter to 1.06 mg/l.

By entering these values into the distributions tool, we can find the probability of obtaining a mean concentration greater than 28 mg/l. If this probability is less than a certain threshold (e.g., 0.05), it indicates that the mean concentration exceeding 28 mg/l is unlikely to occur by chance alone. In such cases, the water department would notify the public and recommend that individuals on sodium-restricted diets inform their physicians of the sodium content in their drinking water.

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Answer:

fdvbggggggggggggggggg

Step-by-step explanation:

Answer:

Answer?

Step-by-step explanation:

abcdefg your cool B)

The area of the triangle is 9.6 cm².

To calculate the area of a triangle, we can use the formula:

Area = (base * height) / 2

Given that the base of the triangle is 6 cm and the perpendicular height is 3.2 cm, we can substitute these values into the formula:

Area = (6 cm * 3.2 cm) / 2

Area = 19.2 cm² / 2

Area = 9.6 cm²

Therefore, the area of the triangle is 9.6 cm².

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The basic unit of mass of the ball in the metric system is the gram.

The base units of length (distance), capacity (volume), and weight (mass) in the metric system are the meter, liter, and gram, respectively. We utilize units that are derived from metric units to measure smaller or greater quantities.

Mass is a physical body's total amount of matter. Inertia, or the body's resistance to acceleration when a net force is applied, is also measured by this term. The strength of an object's gravitational pull to other bodies is also influenced by its mass.

Therefore, the basic unit of mass of the ball in the metric system is the gram.

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Answer:

12

Step-by-step explanation:

30% is 0.3,  40 x 0.3 . is 12 :DD

Answer:

Step-by-step explanation:

Sorry I can't explain how it is done. It is very difficult to explain on paper.

Answer:

7.$95 8. $112.50

Step-by-step explanation:

7.

50 divided by 100 is 0.5, then times by 90 is 45.

45 plus 50 is 95.

8.

$150/4=$37.50

$150-$37.50=$112.50

The empirical probability that a consumer will like this brand of sausage is 0.9 or 90%.

The ratio of the number of times an event occurs to all possible trials is the empirical probability that the event will occur. The occurrence in this instance is comparable to the brand of sausage.

The total number of consumers who tested was 700, and 630 of them rated the sausage favorably. As a result, the empirical likelihood that a customer will enjoy this brand of sausage is:

Empirical Probability = Number of consumers who liked the sausage / Total number of consumers tested

Empirical Probability = 630 / 700

Empirical Probability = 0.9

Therefore, the empirical probability that a consumer will like this brand of sausage is 0.9 or 90%.

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The equation of the line for the  point (-1, 2) is \(y=x+3\)

It is given that line is parallel to the line y = x + 4 .    ....(2)

On comparing equation (2) with the slope intercept form which is  y = mx +c , we get  m = 1 . For parallel lines slope is same .

It is given that line passes through the point (-1, 2).

Putting \(y_1=2,\ x_1=-1\) and m = 1 in equation (1) , we get

     \(y-2=1(x-(-1))\\y-2=x+1\\y=x+3\)

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Answer:

see explanation

Step-by-step explanation:

Using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

(a)

3 × a × 2 × b

= 3 × 2 × a × b

= 6ab

(b)

\(c^{5}\) × c

= \(c^{(5+1)}\)

= \(c^{6}\)

(c)

2\(y^{4}\) × 5y³

= 2 × 5 × \(y^{4}\) × y³

= 10 × \(y^{(4+3)}\)

=10\(y^{7}\)

(d)

3gh² × 4g³h³

= 3 × 4 × g × g³ × h² × h³

= 12 × \(g^{(1+3)}\) × \(h^{(2+3)}\)

= 12\(g^{4}\)\(h^{5}\)

Answer:

3x-10=x+15+25

3x-10=x+40

3x-x=40+10

2x=50

x=50/2

x=25

Answer:

Its A, B, and D

Step-by-step explanation:

I did this just yesterday lol

The maximum volume of an open cylinder with surface area equal to 16π and a radius between 1 and 8 feet is 16π cubic feet, and it is achieved when the radius is equal to 2 feet and the height is equal to 4 feet.

The surface area of an open cylinder is given by the formula 2πrh + 2πr^2, where r is the radius and h is the height. We are given that the surface area is equal to 16π, so we have the equation:

2πrh + 2πr^2 = 16π

Simplifying this equation, we get:

r(h + r) = 8

We want to maximize the volume of the cylinder, which is given by the formula V = πr^2h. Using the equation we derived above, we can express the height in terms of the radius:

h = (8 - r^2)/r

Substituting this expression for h into the formula for the volume, we get:

V = πr^2((8 - r^2)/r)

Simplifying this expression, we get:

V = 8πr - πr^3

To find the maximum volume, we need to find the value of r that maximizes this expression. To do this, we take the derivative of the expression with respect to r:

dV/dr = 8π - 3πr^2

Setting this equal to zero, we get:

8π - 3πr^2 = 0

Solving for r, we get:

r = 2

We can verify at this is a maximum by taking the second derivative of the expression with respect to r:

d^2V/dr^2 = -6πr

At r = 2, this is negative, indicating that we have a maximum.

Therefore, the maximum volume is achieved when the radius is equal to 2 feet. Substituting this into the equation we derived for h, we get:

h = (8 - 2^2)/2 = 4

So the maximum volume is:

V = π(2)^2(4) = 16π cubic feet.

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One example of something that is not expected to be normally distributed is the heights of professional basketball players. The distribution of heights in this population is typically not a normal distribution due to specific factors such as selection bias and physical requirements for the sport.

The heights of professional basketball players are unlikely to follow a normal distribution for several reasons. Firstly, there is a strong selection bias in this population. Professional basketball players are typically chosen based on their exceptional height, which results in a disproportionate number of tall individuals compared to the general population. This selection bias skews the distribution and creates a non-normal pattern.

Secondly, the physical requirements of the sport play a role in the distribution of heights. Due to the nature of basketball, players at the extreme ends of the height spectrum (very tall or very short) are more likely to be successful. This preference for extreme heights leads to a bimodal or skewed distribution rather than a symmetrical normal distribution.

Additionally, factors such as genetics, ethnicity, and individual variation further contribute to the non-normal distribution of heights among professional basketball players. All these factors combined result in a distribution that deviates from the normal distribution pattern.

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Answer:

6x^2-5x+1

Step-by-step explanation:

Use the foil method:

multiply 2x with 3x and -1.

then multiply -1 with 3x and -1

when multiplied, you should have gotten 2x×3x=6x^2, then 2x×-1, then -1×3x=-3x, then you put all of the answers in order from variables with exponents to normal variables to non variables

Answer:

A

Step-by-step explanation:

-3 is less than -2, so A (-3) is the answer.

Only x = -3 is less than -2.

We have the following inequality -

x < - 2

Given is -

x < - 2

Now, it can be seen that -

- 3 < - 2

Therefore, only x = -3 is less than -2.

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The distance from Gladville to Columbus is 144 miles.

The scale of map B is (3.4 cm) / (6.8 cm) = 1/2 that of map A.

Then the distance (d) between the cities is:

= (1.8 cm)/d = (1/2)·(1 cm) / (40 mi)

Multiplying by d·80 mi, we get

 144 mi·cm = d cm

Dividing by cm, we have ...

 144 mi = d

The distance from Gladville to Columbus is 144 miles.

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Answer:

x=6

Step-by-step explanation:

according to the question :-

(x+54)+5x=90

x+54+5x=90

6x+54=90

6x=90-54

6x=36

x=36/6

x=6

Answer:

you combine the numbers that are the same and see the signs if it's positive with the negative, it's going to be negative

Answer:  the answer is A. 14.

Step-by-step explanation: In each trial of the reenactment, Scott chooses one card from the stack and records its digit. Based on the given data, a digit of or 1 speaks to a objective scored, and a digit of 2 through 9 speaks to a missed endeavor.

Out of the 5 endeavors per amusement, on the off chance that Scott scores precisely 2 objectives, it implies he missed 3 endeavors. Subsequently, the likelihood of this occasion can be calculated as:

P(exactly 2 objectives) = (0.2)²(0.8)³ = 0.008192

This likelihood can be utilized to discover the anticipated number of diversions in which Scott scores precisely 2 objectives, by duplicating it by the overall number of diversions reenacted:

Anticipated number of recreations = P(exactly 2 objectives) × Add up to number of recreations = 0.008192 × 84 ≈ 0.68

Adjusting to the closest entire number, we get that Scott is anticipated to score precisely 2 objectives in 1 diversion out of the 84 recreated diversions.