There are 20 students in class. 12 students are girls; the rest are boys. 5 students wear glasses. What is the probability of a student in the glass being a girl who wears glasses?

Answer: Bonjour, il faut tout d'abord que tu refasses la figure, ensuite la question a) tu fais la flèche de c vers i avec les carreaux de ton cahier en diagonale et ca te donnera de combien la translation doit se fair

Step-by-step explanation:

Answer:

22 miles

Step-by-step explanation:

Given data

A towing company charges $50 plus $4 per mile

let the number of miles be x

the expression for the charges for x miles y is given as

y= 50+4x

for y= 138

138= 50+4x

138-50= 4x

88= 4x

x= 88/4

x= 22 miles

Hence the distance is 22 miles

Answer:

204

Step-by-step explanation:

separate into 2 squares/rectangles

13×12(because 20-8 since you cut it in half)

8×6

156+48=204

Answer:

300000 km per second

18000000 km per minute

126000000 km in 7 minutes

Step-by-step explanation:

In 10 minutes there are (10*60) seconds, which is 600 seconds.

180000000/600 = 300000

To find km per minute,

180000000/10 = 18000000

To find km in 7 minutes,

18000000*7=126000000

Light travels 18000000 kilometers per minute and 300000 kilometers per second.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, light travels about 180000000 kilometers in 10 minutes.

A) We know that, 1 minute =60 seconds

10 minutes =600 seconds

Now, number of kilometers per second

= 180000000/600

= 300000 kilometers/second

B) Number of kilometers per minute

= 180000000/10

= 18000000 kilometers per minute

C) Number of kilometer light travel in 7 minutes

= 18000000×7

= 126000000

Therefore, light travels 18000000 kilometers per minute and 300000 kilometers per second.

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The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :

To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67

Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.

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Step-by-step explanation:

you know how functions work ?

the variable (or variables) in the findings expression is a placeholder for actual values.

when we have an actual value, we put that into the place of the variable and then simply calculate.

x = 5

therefore, the functional calculation is

y = 3×5 - 7 = 15 - 7 = 8

keep in mind the priorities of mathematical operations :

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

therefore, we need to calculate "3×5" before we deal with the "- 7" part.

Answer:

Step-by-step explanation:

y=8

Answer: Look below :)

Step-by-step explanation:

I graphed the inequality below:

from that we can see:

a. Points on the line are combinations of US/Mexico minutes he can do where all of his prepaid money will be used, For example, he could do 50 USA minutes and 80 Mexico minutes, and there would be no money left to spend

b. Points above the line are combinations of US/Mexico minutes that will cost him more than the prepaid $50.

c. Points below the line are combinations of US/Mexico minutes that will leave him with money left over from his $50.

I hope this makes sense! ask questions if you have any :)

\(0,4(5x-15)=2,5(x+3)\\\\2x-6=2,5x+7,5\\\\2x-2,5x=7,5+6\\\\-0,5x=13,5 \ \ /\cdot(-2)\\\\\huge\boxed{x=-27}\)

Answer:

Answer:

x=−27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

0.4(5x−15)=2.5(x+3)

(0.4)(5x)+(0.4)(−15)=(2.5)(x)+(2.5)(3)(Distribute)

2x+−6=2.5x+7.5

2x−6=2.5x+7.5

Step 2: Subtract 2.5x from both sides.

2x−6−2.5x=2.5x+7.5−2.5x

−0.5x−6=7.5

Step 3: Add 6 to both sides.

−0.5x−6+6=7.5+6

−0.5x=13.5

Step 4: Divide both sides by -0.5.

−0.5x

−0.5

=

13.5

−0.5

x=−27

Answer:

x=−27

I hope this answer will helps you.

The measure of dispersion that reflects the aggregate or total dispersion of a distribution is the range. However, while the range can provide a quick estimate of the spread of the data, it is not as reliable as other measures of dispersion, such as the variance and standard deviation, which take into account the distribution of values in the data set.

In statistics, dispersion refers to the degree to which the data in a distribution is spread out or varies.  These measures include the range, variance, and standard deviation. There are several measures of dispersion that help to quantify how much the values in a data set deviate from the central tendency or the average. The range is the difference between the largest and smallest values in a data set. It is a simple measure of dispersion that provides a quick and easy way to assess the variability of a distribution. However, it is not as reliable as other measures of dispersion, such as the variance and standard deviation, because it only takes into account the two extreme values.

The range can be useful in situations where a quick estimate of the spread of the data is needed, but it has some limitations. For example, the range is affected by outliers or extreme values in the data set, which can skew the results. Additionally, the range does not consider the distribution of values between the highest and lowest values, which can result in misleading conclusions about the variability of the data.

On the other hand, the variance and standard deviation are more reliable measures of dispersion that take into account the distribution of values in the data set. The variance measures the average squared deviation from the mean, while the standard deviation is the square root of the variance. These measures provide a more accurate reflection of the overall dispersion of the data and are widely used in statistical analysis.

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Answer:

165m

Question:

Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish, and Wiktor was 35 m. When Olga finished the race, Wiktor had 22 m to the finish. At what distance was the race held?

Explanation:

Let distance be x meters

Fist statement:

Artur distance = x

Olga =x-15

Wiktor = x-35

Since they are going at constant speed, time is constant for all 3.

Their speed = distance/time

x/t, (x-15)/t, (x-35)/t respectively

Second statement:

Olga distance = x

Wiktor distance = x-22

Their Time is constant:

If it takes (x-15) in t secs,

for x meters will take = xt/(x-15)

Olga and wiktor respectively: xt/(x-15), xt/(x-15) respectively

Their speed:

Speed = distance/time

Olga = (x-15)/t,

Wiktor = (x-22)(x-15)/(xt)

Since speed is constant

Speed for Wiktor in both cases:

(x-35)/t =(x-22)(x-15)/(xt)

x(x-35) =(x-22)(x-15)

x² -35x = x² - 15x -22x +330

-35x = -37x +330

2x = 330

x = 165m

Race held at 165m distance.

Answer:

yes

Step-by-step explanation:

Answere=(-2x+10)

hope it help you

Answer:

-2x+ 10

Hope this helpd

Answer:$0.25 per apple

$0.30 per orange

Step-by-step explanation:

I knowwww iM aMbitious and i helped 126

people

Answer:

Step-by-step explanation:

dont really know

An equation that can be used to determine how much each cookie cost originally is ($13.32 + $7) / 16.

A coupon reduces the price of an item. Thus, the amount paid by Louis would be lower than the original price.

Original price = coupon + price paid

($13.32 + $7)

The cost per cookie, can be determined by dividing the original price by the total number of cookies bought.

($13.32 + $7) / 16

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Answer:

Step-by-step explanation:

Givens

Number of cookies = 16

Deduction =  7

Final Cost = 13.31

Equation

16c - 7 = 13.31

Solution

You are not asked for a solution but I'll put it here anyway.

16c - 7 = 13.32                      Add 7 to both sides

16c -7+7 = 13.32+ 7              Combine

16c = 20.32                          Divide by 16

16c/16 =  20.32/16                

c = 1.27

Answer:

15/4

Step-by-step explanation:

\(\ell=5/2 \\ \\ w=1 \\ \\ h=3/2 \\ \\ V=lwh=(5/2)(1)(3/2)=15/4\)

Answer:

3.75 so i believe the answer might be 15/4?

Step-by-step explanation:

im sorry if this is not the right answer

Based on this evaluation, the correct answer is:

d. "false : 14 is 104"

The value of 's' after the given statement can be determined by evaluating each part of the expression step by step:

1. Evaluate (!true): Since 'true' is negated using the '!' operator, this expression becomes 'false'.

2. Concatenate " : " to "false": The resulting string also becomes "false : ".

3. Calculate (10 + 4): This arithmetic expression is equals to  14.

4. Concatenate "14" to "false : ": The resulting string becomes equal to "false : 14".

5. Finally, concatenate " is 104" to "false : 14": The final value of 's' becomes "false : 14 is 104".

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Answer:

look the photo............

Answer:

(a) 48/60 = 4/5

(b) 150/60 = 15/6 = 5/2 = 2 1/2

(c) 84/98 = 12/14 = 6/7

(d) 12/52 = 3/13

(e) 7/28 = 1/4

The fractions reduced to their simplest form:

(a) 48/60 simplifies to 4/5.

(b) 150/60 simplifies to 5/2.

(c) 84/98 simplifies to 6/7.

(d) 12/52 simplifies to 3/13.

(e) 7/28 simplifies to 1/4.

Let's discuss each question separately:

(a) To reduce the fraction 48/60 to simplest form, we need to find the greatest common divisor (GCD) of both numbers. The GCD of 48 and 60 is 12. Dividing both the numerator and denominator by 12 gives us the simplified fraction 4/5.

(b) For the fraction 150/60, we find that the GCD of 150 and 60 is 30. Dividing both the numerator and denominator by 30 results in the simplified fraction 5/2.

(c) The fraction 84/98 can be simplified by dividing both the numerator and denominator by their GCD, which is 14. This gives us the simplest form of 6/7.

(d) To simplify the fraction 12/52, we calculate the GCD of 12 and 52, which is 4. Dividing both numbers by 4 yields the simplest form of 3/13.

(e) The fraction 7/28 can be simplified by dividing both the numerator and denominator by their GCD, which is 7. This simplifies the fraction to 1/4.

In summary, the fractions in their simplest forms are:

(a) 4/5

(b) 5/2

(c) 6/7

(d) 3/13

(e) 1/4.

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x = 1 + 9

x = 10

The value of x is 10.

Answer: 10

Step-by-step explanation:

The main purpose of business sustainability is to achieve long-term success by balancing economic, social, and environmental concerns. It involves integrating sustainable practices into business strategies to create positive impacts on the environment, society, and stakeholders while ensuring profitability and resilience.

Environmental management plays a crucial role in sustainable business development. It involves identifying and managing environmental risks, implementing eco-friendly practices, reducing resource consumption, minimizing waste generation, and promoting environmental stewardship. By incorporating environmental management into their operations, businesses can enhance their sustainability performance, comply with regulations, improve brand reputation, and contribute to a healthier planet.

Stakeholder analysis plays a vital role in sustainable development, particularly in the context of specific industries or sectors. In the case of rubber cultivation in Southwest China, stakeholder analysis helps identify and understand the diverse stakeholders involved, such as rubber farmers, local communities, government agencies, environmental organizations, and consumers. By analyzing stakeholders' interests, concerns, and power dynamics, sustainable development initiatives can be tailored to address their needs effectively. Stakeholder engagement and collaboration are crucial for promoting sustainable practices, ensuring social acceptance, mitigating conflicts, and achieving sustainable outcomes in rubber cultivation and other industries.

Environmental management plays a vital role in sustainable business development. It involves assessing and managing environmental risks, implementing eco-friendly practices, complying with environmental regulations, and monitoring environmental performance. By adopting sustainable production processes, minimizing resource consumption, reducing emissions and waste generation, and promoting environmental stewardship, businesses can enhance their environmental performance. Effective environmental management not only benefits the environment but also leads to cost savings, improved efficiency, enhanced brand reputation, and reduced regulatory risks.

The pillars of sustainable development provide a framework for addressing the interconnectedness of economic, social, and environmental aspects. The economic pillar emphasizes the need for sustainable economic growth, productivity, and innovation while ensuring equitable distribution of resources. The social pillar highlights the importance of social well-being, equality, human rights, and inclusivity. The environmental pillar recognizes the significance of environmental conservation, resource efficiency, pollution prevention, and climate change mitigation. These pillars are interdependent, and progress in one pillar can influence the others. Sustainable development requires a balanced and integrated approach that considers all three dimensions.

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Answer:

As x decreases in value.f(x) decreases in value.......

Answer:

yab

Step-by-step explanation:

The mean of x at the end of 5 years is 115 and the variance is 20.0625. The function x follows a generalized Wiener process, where dx = 3dt + 2dz, μ = 3 and σ = 2.

Given that dx = 3dt + 2dz, where μ = 3 and σ = 2, we can integrate the differential equation to find the process x. Integrating both sides, we get:

∫dx = ∫(3dt + 2dz)

Integrating, we have:

x = 3t + 2z

Since we know that x starts at 100, we substitute t = 0 and z = 0 into the equation:

100 = 3(0) + 2(0)

Simplifying, we find:

100 = 0

This implies that the constant term of integration is 100. Therefore, the process x is given by:

x = 100 + 3t + 2z

To find the mean and variance of x at the end of 5 years, we substitute t = 5 and z = 0 into the equation:

x = 100 + 3(5) + 2(0)

x = 115

Thus, the mean of x at the end of 5 years is 115.

To find the variance, we use the fact that the variance of dx is given by σ^2 * dt. Since σ = 2 and dt = 5, the variance of dx is (2^2) * 5 = 20.

Therefore, the variance of x at the end of 5 years is 20.0625 (rounded to four decimal places).

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Answer:

\(t(n) = -5^{n-1}*6\)

Step-by-step explanation:

\(t(n) = -5^{n-1}*6\)

The interquartile range is 8.

To find the interquartile range (IQR) for a data set, we first need to find the first and third quartiles. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set.

To find Q1 and Q3 for this data set, we need to order the values from least to greatest:

17, 19, 21, 22, 23, 23, 26, 27, 28, 28, 29, 30, 31, 32, 34

The median of the entire data set is the value that is exactly in the middle, which in this case is 26. The median of the lower half of the data set (Q1) is the value that is exactly in the middle of that half, which is the average of 21 and 23, or 22. The median of the upper half of the data set (Q3) is the value that is exactly in the middle of that half, which is the average of 30 and 31, or 30.5.

To find the interquartile range, we subtract Q1 from Q3:

IQR = Q3 - Q1 = 30.5 - 22 = 8.5

Therefore, the answer is (c) 8.

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The answer is option c.

To determine whether the normal quantile plot depicts sample data from a population with a normal distribution, you should visually inspect the plot. If the data points fall approximately along a straight line without any noticeable curvature.

To examine the normal quantile plot and determine whether it depicts sample data from a population with a normal distribution, we need to understand the characteristics of a normal quantile plot and interpret its visual patterns.

A normal quantile plot, also known as a Q-Q plot (quantile-quantile plot), is a graphical tool used to assess the normality of a dataset. It compares the quantiles of the observed data against the quantiles of a theoretical normal distribution. If the data points fall approximately along a straight line, it suggests that the data is normally distributed. On the other hand, deviations from a straight line indicate departures from normality.

Here's how you can interpret a normal quantile plot:

1. Straight Line: If the plotted points form a straight line, it indicates that the data closely follows a normal distribution. The more closely the points align with the line, the stronger the evidence for normality.

2. Curvature: If the plotted points exhibit curvature, such as bending or bowing away from a straight line, it suggests departures from normality. Curvature may indicate skewness or heavy-tailedness in the data.

3. Outliers: Points that deviate significantly from the expected line can indicate outliers. Outliers might suggest the presence of extreme values or errors in the data.

4. S-shaped or Concave Shape: If the plotted points form an S-shaped curve or concave shape, it suggests a distribution that is not normal. This shape may indicate bimodal or multimodal distributions.

Therefore, to determine whether the normal quantile plot depicts sample data from a population with a normal distribution, you should visually inspect the plot. If the data points fall approximately along a straight line without any noticeable curvature, it suggests that the sample data follows a normal distribution. However, if there is significant curvature, the presence of outliers, or an S-shaped or concave shape, it suggests deviations from normality.

It's important to note that visual inspection alone may not provide a definitive conclusion. Statistical tests, such as the Shapiro-Wilk test or the Anderson-Darling test, can provide quantitative measures of normality. These tests evaluate the null hypothesis that the data comes from a normally distributed population.

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A telephone call center uses two customer service representatives (csrs) during the 8:30 a.m. to 9:00 a.m. time period. the standard service rate is 2.0 minutes per telephone call per csr. assuming a target labor utilization rate of 70 percent, Therefore, these two CSRs can handle approximately 3 calls during this half-hour period.

Given a telephone call center uses two customer service representatives (CSRs)

during the 8:30 a.m. to 9:00 a.m. time period, and the standard service rate is 2.0 minutes per telephone call per CSR. Assuming a target labor utilization rate of 70%,

we have to determine the number of calls these two CSRs can handle during this half-hour period.

The formula to calculate the number of calls that can be handled during this half-hour period is:

Number of calls = (number of servers x utilization rate x service time) / arrival rate

                          = (2 x 0.70 x 2) / 1

                          = 2.8 calls (rounded to the nearest whole number)

Therefore, these two CSRs can handle approximately 3 calls during this half-hour period.

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