an airline estimates that96% of people booked on their flights actually show up. if the airlinebooks78people on a flight for which the maximum number is76, what is the probability that thenumber of people who show up will exceed the capacity of the plane?

Answer:

5x + 10y

5*4 + 10*5

20+50 = $70

Step-by-step explanation:

The given expression is of the form y=mx+c. Comparing, we get the slope as 7.

The direction and steepness of a line are represented numerically by the slope or gradient of the line. It provides the ratio of how much y rises when x rises by a particular amount. The general form is therefore y=mx+c, where c represents the y-intercept and m represents the slope. This form gives the slope-intercept form.

Given the expression is  y=7x+3. Comparing this expression with the general form we get, slope or gradient as 7 and y-intercept as 3. Therefore, the required answer is 7.  

The complete question -

What is the gradient of the line y=7x+3?

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The points on the graph of f(x) = log9x are (20, 4.5), (11/9, 0.087183), (2439, 3.168910), (181, 2.55231), and (2, 1).

The points on the graph of f(x) = log9x can be calculated by substituting the given values of x in the equation. For example,

f(-1/81) = log9(-1/81) = log9(-1) - log9(81) = undefined

f(20) = log9(20) = log9(2*2*2*5) = log9(2) + log9(2) + log9(2) + log9(5) = 1 + 1 + 1 + 1.5 = 4.5

f(11/9) = log9(11/9) = log9(11) - log9(9) = 1.041393 - 0.954210 = 0.087183

f(-13) = log9(-13) = log9(-1) - log9(13) = undefined

f(2439) = log9(2439) = log9(3*13*37) = log9(3) + log9(13) + log9(37) = 0.477121 + 1.11394 + 1.579789 = 3.168910

f(181) = log9(181) = log9(3*3*7*7) = log9(3) + log9(3) + log9(7) + log9(7) = 0.477121 + 0.477121 + 0.84509 + 0.84509 = 2.55231

f(2) = log9(2) = log9(2) = 1

Hence, the points on the graph of f(x) = log9x are (20, 4.5), (11/9, 0.087183), (2439, 3.168910), (181, 2.55231), and (2, 1).

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The confidence interval would be (45.4, 54.6), which means we can be 95% confident that the population mean falls within this range.

To find the appropriate t-multiple required for a 95% confidence interval with 20 observations, we need to use a t-distribution table or a statistical software. The t-distribution table is based on the degrees of freedom (df), which for a sample size of 20 is 19 (df = n-1).

For a 95% confidence interval and 19 degrees of freedom, the t-multiple is 2.093, rounded to three decimal places. This means that we can use this value as the critical value to determine the range of values within which the population mean falls with 95% confidence.

To calculate the confidence interval, we first need to calculate the sample mean and the sample standard deviation. We can then use the formula:

\(confidence interval = sample mean ± (t-multiple) x (standard error)\)

where the standard error is the sample standard deviation divided by the square root of the sample size.

For example, if the sample mean is 50 and the sample standard deviation is 10, the confidence interval would be:

confidence interval = 50 ± (2.093) x (10 / sqrt(20)) = 50 ± 4.6

So the confidence interval would be (45.4, 54.6), which means we can be 95% confident that the population mean falls within this range.

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The following fractions and decimals on the number line.

0__0.125__1/4__1/3__0.4__1/2__0.7__3/4__5/6__1__8/7

A straight line with numbers placed at equal intervals or segments along its length.

First,

0.7= 7/10, which is a less than 3/4 0.75

so, lies in between 3/4 and 1

second,

1/3 is larger than 1/4 but smaller than 1/2,

so is lies in between 1/4 and 1/2.

third,

8/7, greater than 1, so goes right in front of 1.

fourth, 0.4=4/10,   less than 1/2 and  greater than 1/3,

so lies in between 1/2 and 1/3.

Fourth,

0.125 = 1/8, is the smallest,

which means its last, half between 1/4 and 0.

5/6 is the second largest

Hence, 0.125<1/4<1/3<1/2<0.7<3/4<5/6<1<8/7

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Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

A skewed right distribution is most likely to result in the mean being substantially smaller than the median.

The mean and median are measures of central tendency used to describe the center of a distribution. In a skewed right distribution, the tail of the distribution extends towards the right, indicating a larger number of smaller values and a few extremely large values. This distribution shape is also known as positively skewed.

When a distribution is skewed right, the mean is typically pulled towards the larger values in the tail, making it larger than the median. However, there are scenarios where the mean can be substantially smaller than the median in a skewed right distribution.

This occurs when there are extremely large values in the tail that significantly affect the mean, but the bulk of the distribution remains concentrated on the smaller side. As a result, the mean can be pulled downward, making it smaller than the median.

On the other hand, in a symmetric distribution or a skewed left distribution (negatively skewed), where the tail extends towards the left with a larger number of larger values and a few extremely small values, it is less likely for the mean to be substantially smaller than the median. In these cases, the mean is typically closer to or larger than the median.

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Answer:

0.019

Step-by-step explanation:

btw instead of wasting points you can look that up on g*oogle, goo*gle has a calculator that will help you find out decimals and percent's!

pieces of advice

can i have brainliest?

Answer:

0.019

Step-by-step explanation:

% divide by Hundred

The answer to the question is: I ≈ 13/12 which stated use the degree 2 Taylor polynomial centered at the origin for f to estimate the integral I = ∫0,2 f(x)dx, when f(x) = e^(-x^2/4).

To estimate the integral I = ∫0,2 f(x)dx using the degree 2 Taylor polynomial centered at the origin for f(x) = e^(-x^2/4), we first need to find the first two derivatives of f(x):

f'(x) = (-1/2)x * e^(-x^2/4)

f''(x) = (1/4)x^2 * e^(-x^2/4) - (1/2) * e^(-x^2/4)

Next, we need to evaluate these derivatives at x = 0:

f(0) = 1

f'(0) = 0

f''(0) = -1/2

Using these values, we can write the degree 2 Taylor polynomial for f(x) as:

P2(x) = f(0) + f'(0)x + (1/2)f''(0)x^2

= 1 - (1/4)x^2

Now, we can use this polynomial to estimate the value of the integral I:

I ≈ ∫0,2 P2(x)dx

= ∫0,2 (1 - (1/4)x^2) dx

= [x - (1/12)x^3] from x=0 to x=2

= (2 - (1/12)(8)^3) - (0 - (1/12)(0)^3)

= 13/3

Therefore, the answer to the question is: I ≈ 13/12.

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that it is important for likert-type scale response choices to be balanced at the ends of the response continuum. This means that there should be an equal number of positive and negative response options to avoid any bias or skew in the results.

An explanation for this is that if there are too many positive or negative response options, respondents may feel pressured to choose a certain option even if it doesn't accurately reflect their true opinion. This can result in inaccurate data and can skew the results of the survey or study.

balancing the response choices on a likert-type scale is crucial for obtaining accurate and unbiased data. By having an equal number of positive and negative options, respondents are more likely to provide honest and accurate responses.

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Answer:

4x - 3y = 36

Step-by-step explanation:

⅔x-½y=6

just multiply both sides by the LCM which is 6

6×⅔x-6×½y=6×6

4x-3y=36

There are some bacteria in a dish. Every hour, each bacterium splits into 3 bacteria. Hence, in total after 3 hours, we have 27 bacteria.

Bacteria are ubiquitous, largely free-living creatures that frequently only have one biological cell. They make up a significant portion of the prokaryotic microbial kingdom. Bacteria, which tend to be a few micrometres long and were among the initial organisms that appeared on Earth, are found in the majority of its habitats.

n = the number of bacteria at a given hour

at zero hour=1 bacteria.

1 bacteria after an hour is split in to 3 bacteria.

n(1)  = 3

n(2)  = 3 x 3  = 9 bacteria

n(3)  = 9 x 3  = 27 bacteria

Hence, in total after 3 hours, we have 27 bacteria

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Given the following question:

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:

To compute the total cost based on the number of drinks and tacos, we can use the given prices of $2 for a drink and $5 for a taco. Let's assume the number of drinks is represented by "d" and the number of tacos is represented by "t". The **total cost** can be calculated as:

totalcost = (2 * d) + (5 * t)

For example, if we have 2 drinks and 3 tacos, the calculation would be:

totalcost = (2 * 2) + (5 * 3) = 4 + 15 = 19

So, with 2 drinks and 3 tacos, the total cost would be $19.

You can substitute the values of "d" and "t" with the desired quantities to calculate the total cost for different combinations of drinks and tacos.

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Answer:

20π m³

Step-by-step explanation:

Volume of cylinder = π r ² h

= π (2)² (5)

= (4)(5)π

= 20π m³

(a) Example question: "How often do you look at social media while doing schoolwork?

(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.

(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.

(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.

(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."

(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.

(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.

To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.

Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.

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The block will cover the distance 12m before it stops.

According to Newton's second law of motion, the acceleration a

of a body of mass m is determined by the net force \(F_n_e_t\) acting on it:

\(F_n_e_t\)  = ma.

The mass of a block, m = 8 kg

The initial speed of the block on rough horizontal surface , u = 6 m/s

The force of friction, F = 12N

We know that, the Newton's 2nd law: \(F_n_e_t\)  = ma.

Therefore, its final velocity is zero, v = 0

Since the only force that is acting on the body along the horizontal direction is the kinetic frictional force

\(F_n_e_t\)  = ma. (\(F_n_e_t\)  is acting in opposite direction to that of object motion)

a = \(\frac{f_n_e_t}{m}\) = \(\frac{-12}{8} = -1.5m/s^2\)

Negative sign shows that it is in the opposite direction to that of initial velocity.

By using the third kinematic equation, we get:

\(v^2=u^2+2as\\\\= > s = \frac{0-6^2}{2(-1.5)}\\ \\s = \frac{36}{3} = 12m\)

Therefore, the block will cover the distance 12m before it stops.

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Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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The instantaneous acceleration at time t = 11.25 s is a = 8 m/s².  

What is acceleration?

A definition of acceleration is the speed at which velocity varies with respect to time. Since acceleration has both a magnitude and a direction, it is a vector quantity. Additionally, it is the first derivative of velocity with respect to time or the second derivative of position with respect to time.

The graph for the acceleration points are given.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

From graph instantaneous acceleration at time 11.25s is 8 m/s².  

Therefore, the value is obtained as a = 8 m/s².  

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Answer: Percentage of all the people in the company are under the age of 25=x

Step-by-step explanation:

We have to use the weighted average.

x=(Σwi * vi )/Σ wi

w₁=3

w₂=2

v₁=40%

v₂=10%

x=[3(40%)+2(25%)] / (3+2)=34%

Solution: 34% of all people in the company are under the age of 25.

Answer:

1x+ -4y= -16

Step-by-step explanation:

y= 1/4x + 4

subtract 1/4x from both sides

-1/4x + y= 4

multiply both sides by -4

1x -4y= -16

Answer:

5^-18

Step-by-step explanation:

here is the answer please mark me as the brainliest

answer

put formula:

radians = degrees x pi : 180

pi approximately equal to = 3.14159

radians = 300 x pi : 180

= 5 x pi : 3

300 degrees is equal to 5 x pi : 3 radians

Answer:

5.23599

Step-by-step explanation:

300° × π/180 = 5.23599

Answer: 12.5

Step-by-step explanation:

So, basically there is 5 minutes and the number of times occuring is 5 so its 5x1 which is 5 and then there is 10 minutes and the number of times occuring  is twice so its 2x10 which is 20. Next, is 15 minutes and the times occuring  is 2 so, 2x15 which is 30. And finally theres  20 minutes and the amount of times occuring  is once so 20x1 which is 20. Then you add them all up which is 5+20+30+20=75. And the formula for mean/average is The sum of all number/ The amount of numbers there are so 75/6 is 12.5.

f(x) is an exponential function whose output increases exponentially as the input increases, while g(x) is a linear function whose output increases in a constant rate as the input increases.

f(x) is an exponential function, meaning that the output increases exponentially as the input increases. In the table, when x is 1, the output is 3, when x is 2, the output is 9, and when x is 3, the output is 27. This shows that the output increases exponentially as the input increases.

On the other hand, g(x) is a linear function, meaning that the output increases in a constant rate as the input increases. For example, if Darya has been jogging for 1 hour, she will be 2 miles east of home, and if she has been jogging for 2 hours, she will be 7 miles east of home (5 miles per hour x 2 hours). This shows that her distance away from home increases in a constant rate as the input (time) increases.

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Answer:

24 legs

Step-by-step explanation:

multiple the amount of cats, dogs and hamsters by 4 and add all three answers together and u get 24

Hey there! Here's your answer.

If you mean literal legs, as in the things you use to walk, the answer would be 24.

Explanation:

First, I added all the animals up.

2 + 3 + 1 = 6

Next, I multipled the answer of the last equation by 4 because each of these animals has 4 legs.

6 x 4 = 24

Finally, I got the answer of 24.

I hope this helps!

The Triangle will look in this way (Attached image)-

Step 1: Draw a line segment OQ.

Step 2: Place the center tip of the protractor at point O such that the protractor perfectly aligns with line AQ.

Step 3: Start from 'Q' on the protractor in the anti - clockwise direction and stop at 30. Mark it as point 'P'. If point 'Q' lies to the right of 'O', then start measuring clockwise and stop at 30.

Step 4: Now, place the protector at point Q, mark the point 'P' at 90, such that ∠OQP = 90.

Step 5: Join point 'P' with 'O'. ∠QOP=30° is the required 30 degree angle.

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