na função definida por f(x)= 3x²-5x+6 seu gráfico é uma:

a) curva denominada parábola com vértice voltado pra baixo

b) uma reta crescente

c) curva denominada parábola com vértice voltado pra cima

d) uma reta decrescente

e) uma reta horizontal ​

(A) The normal approximation to the binomial to approximate the probability that at least 99 99 respondents live at​ home is 84.21%

(B) The probability that 16 or more out of 19 community college male students live at home is 0.0037.

In algebra, a binomial is an expression in which two distinct terms are joined by an addition or subtraction operator. For example, 2xy + 7y is a binomial because there are two terms. Algebraic expressions can be classified into different types based on the number of terms that appear, such as monomial, binomial, trinomial, etc.

(a) Based on the sample of 19 students, the proportion of community college males live at home:

p = 16/19= 0.8421 or 84.21%.

(b) the probability that 16 or more out of 19 community college male

students live at home, assuming that the proportion who live at home is 52%. Using binomial distribution with parameters

n = 19, p = 0.52, q = 1-p = 0.48,

The probability that 16 or more out of 19 community college male students live at home is

P (16 or more) = P19 (16)+ P19 (17)+ P19 (18)+ P19 (16)=

= C₁₉ ¹⁶P Q³ + C₁₉ ¹⁷P Q² + C₁₉ ¹⁸P Q¹ + C₁₉ ¹⁸P Q⁰= 0.0037.

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The missing side length. Round to the nearest tenth if needed is 10.2

Let the length of the missing side = "s" Applying the Pythagorean theorem to this right triangle gives:

4^2 + s^2 = 11^2  

 => 16 + s^2 = 121      

=>     ( 4*4 = 16, 11*11 = 121)

16 - 16  + s^2 = 121 - 16 =>     (subtract 16 from both sides)

s^2 = 105 =>

x = sqrt (105) which is approximately 10.2

Therefore the missing length is 10.2 units

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Answer:This is a linear equation.

y = mx+b

y is the total cost.

The slope m is the rate: that's 9 dollars per hour.

x is the number of hours.

b is the initial value: that's 16 dollars.

y = 9x+16

The problem states that the cost was 79 dollars.

Substitute that for y and solve for x.

79 = 9x+16

63 = 9x

x = 7 hour

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

80-17=63

63/7  = 9

7 times 9 = 63

The most appropriate interpretation of the y-intercept in this scenario is that for a car weighing 0 lbs, we would expect a fuel efficiency rating of 68.17 mpg.

In a linear regression model, the y-intercept represents the predicted value of the dependent variable (fuel efficiency) when the independent variable (weight) is zero. In this case, the y-intercept is given as 68.17, which indicates the expected fuel efficiency rating for a car with zero weight. However, it is important to note that this interpretation is not physically meaningful because a car cannot have zero weight. Therefore, it is a theoretical extrapolation beyond the range of the data.

The answer option "For a car weighing 0 lbs we would expect a fuel efficiency rating of 68.17 mpg" is the most appropriate interpretation because it aligns with the given y-intercept value. It implies that as the weight of the car increases, the fuel efficiency rating decreases. The interpretation assumes a linear relationship between weight and fuel efficiency within the range of the data. However, it is important to exercise caution when extrapolating beyond the observed data range, as the relationship may not hold for extremely light or heavy cars.

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Answer:

4.

Step-by-step explanation:

Hope this helps! <3

Answer:

Graph B

Step-by-step explanation:

Step 1) y+2≤-2/3x+4

Subtract 2 from both sides to get y≤-2/3x+2

Step 2) We know the line will be solid because of a "≤" sign. Use (0,0) to determine which side will be shaded.

0≤0+2 is true so the side that includes the origin should be shaded.

Answer:

Graph 2.

Step-by-step explanation:

The graph is decreasing.

Hope this helps!

If not, I am sorry.

12 divided by 1/3 is also equal to 12 times 3.

12x3=36

To double check, you could use a calculator, but the answer would still be 36.

sorry if this doesn't help

Answer:

36/1

36

Step-by-step explanation:

2³+3²-3×4-5²÷5+(7×4)

= 8+9-3×4-25÷5+7×4

=8+9-12-5+28

=28

64°

Step-by-step explanation:

Let the missing angle be x.

Sum of angle of a triangle=180°

Therefore,

48°+68°+x=180°

x=180°-116°

x=64°

The height of water in the tank in feet after t seconds can be expressed as h(t) = H - (Aw/Ah) 2gh t2, where Aw and Ah are the cross-sectional areas of the water and the hole in square feet respectively,

and g is the gravitational acceleration (32 ft/s2). The interval of definition for h(t) is 0 ≤ t ≤ H/2gh.

The graph of h(t) is a parabola with its vertex at (H/2gh, H) and is symmetric about the line t = H/2gh. It starts at (0, H) and gradually decreases to (H/2gh, 0).

Given the tank is 11 ft high, has radius 2 ft and the circular hole has radius in, and it is initially full, the time it will take to empty can be calculated as: t = √(2H/gAh) = √(22/(32 x π(0.52))) = 3.87 seconds. Therefore, it will take approximately 3.87 seconds to empty.

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2.4 millimetres into meter is 0.0024.

Answer:

0.0024 meters

Step-by-step explanation:

Using conversion.

Hope this helps!

xoxo,

cafeology

The graph of the kite's behavior over time starts with a rising slope as it ascends from the ground. It then levels off, depicting a flat section indicating a constant altitude. Finally, the graph shows a steep decline as the kite descends and returns to the ground.

The behavior of the kite over time can be depicted as follows:

The kite initially starts from the ground and gradually ascends into the sky, maintaining a steady altitude for approximately 10 minutes. However, after this period, it experiences a sudden descent and returns back to the ground.

The kite's journey can be visualized as a graph with time on the x-axis and altitude on the y-axis. At the beginning, the graph starts at ground level, representing the kite's position on the ground. As time progresses, the graph steadily rises, indicating the kite's ascent into the sky. The upward slope of the graph represents the gradual increase in altitude.

For the next 10 minutes, the graph remains relatively flat, indicating that the kite maintains a constant altitude. This horizontal section of the graph denotes the period when the kite flies at the same height in the sky without any significant changes.

However, after these 10 minutes, the graph experiences a sudden drop, representing the kite's rapid descent back to the ground. The downward slope of the graph indicates the kite's decrease in altitude.

In summary, the graph of the kite's behavior over time starts with a rising slope as it ascends from the ground. It then levels off, depicting a flat section indicating a constant altitude. Finally, the graph shows a steep decline as the kite descends and returns to the ground.

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To estimate the regression in the given model Yi = B0 + B1Xi + B2Ziui, where the variance of Ui is Σi^2 = Σ(zi^2), you can use the method of weighted least squares (WLS). The weights for each observation can be determined by the inverse of the variance of Ui, that is, wi = 1/zi^2.

In the given model, Yi = B0 + B1Xi + B2Ziui, the error term Ui is assumed to have a constant variance, given by Σi^2 = Σ(zi^2), where zi represents the individual values of Z.

To estimate the regression coefficients B0, B1, and B2, you can use the weighted least squares (WLS) method. WLS is an extension of the ordinary least squares (OLS) method that accounts for heteroscedasticity in the error term.

In WLS, you assign weights to each observation based on the inverse of its variance. In this case, the weight for each observation i would be wi = 1/zi^2, where zi^2 represents the variance of Ui for that particular observation.

By assigning higher weights to observations with smaller variance, WLS gives more importance to those observations that are more precise and have smaller errors. This weighting scheme helps in obtaining more efficient and unbiased estimates of the regression coefficients.

Once you have calculated the weights for each observation, you can use the WLS method to estimate the regression coefficients B0, B1, and B2 by minimizing the weighted sum of squared residuals. This involves finding the values of B0, B1, and B2 that minimize the expression Σ[wi * (Yi - B0 - B1Xi - B2Ziui)^2].

By using the weights derived from the inverse of the variance of Ui, WLS allows you to estimate the regression in the presence of heteroscedasticity, leading to more accurate and robust results.

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Answer:28

Step-by-step explanation:

5x5=25

25+3=28

Answer:

C. 28

Step-by-step explanation:

3 + 5^2

3 + 25 = 28

in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.

In the equation ONp/ot = -rpP + OPN, the term -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction with respect to time. Here's a step-by-step explanation:
ONp/ot represents the rate of change of the concentration of a substance N with respect to time (t). This is often used to describe the rate at which a chemical reaction proceeds.
-rpP is the rate of decrease of the concentration of a reactant (P) due to the reaction. The negative sign indicates that the concentration of the reactant is decreasing over time.
OPN is the rate of increase of the concentration of a product (N) due to the reaction. The positive sign indicates that the concentration of the product is increasing over time.
The equation ONp/ot = -rpP + OPN connects these two terms, stating that the rate of change of the concentration of substance N with respect to time is equal to the rate of decrease of reactant P plus the rate of increase of product N.
5. The term -rpP + OPN describes the balance between the decrease of reactant concentration and the increase of product concentration in the chemical reaction. This balance is important in understanding the reaction kinetics and determining the rate at which a reaction occurs.
In summary, -rpP + OPN in the equation ONp/ot = -rpP + OPN describes the rate of change of the concentration of a substance in a chemical reaction, considering both the decrease of reactant concentration and the increase of product concentration.

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We need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

To prove that 13 divides a number "a" if and only if 13 divides (an - (1-1)") + 4H0, we need to show that both conditions imply each other
First, let's assume that 13 divides "a". This means that "a" can be written as 13k, where k is an integer. We can express this in terms of base 10 as (13k - (1-1)") + 4H0. Simplifying further, we get (13k - 1) + 4H0. Since 13 divides 13k and 13 divides 4H0, it also divides their sum. Therefore, if 13 divides "a", it also divides (an - (1-1)") + 4H0.
Next, let's assume that 13 divides (an - (1-1)") + 4H0. This means that (an - (1-1)") + 4H0 can be written as 13k, where k is an integer. Simplifying the expression, we get an - (1-1)") + 4H0 = 13k. Rearranging, we have an = 13k + (1-1)") + 4H0. Since 13 divides 13k + (1-1)") + 4H0, it also divides their sum. Therefore, if 13 divides (an - (1-1)") + 4H0, it also divides "a".
In conclusion, we have proven that 13 divides "a" if and only if 13 divides (an - (1-1)") + 4H0.
To decide whether 20192018 is divisible by 13, we can apply the result from part (a). Let's express 20192018 as (an - (1-1)") + 4H0. Since 13 divides (an - (1-1)") + 4H0, if 13 divides 20192018, it will also divide (an - (1-1)") + 4H0. Therefore, we need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

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Answer:Negative 3.2 minus (x + 19.1) greater-than-or-equal-to 14.2.

Step-by-step explanation:

The correct inequality expression for the given problem is:

Negative 3.2 minus (x + 19.1) greater-than-or-equal-to 14.2.

This is because the problem states "The difference of –3.2 and the sum of a number and 19.1 is at most 14.2." The phrase "at most" indicates that the difference should be greater than or equal to the value of 14.2. Therefore, we have to use the greater-than-or-equal-to symbol (≥) in the inequality expression.

So, the correct option is:

Negative 3.2 minus (x + 19.1) greater-than-or-equal-to 14.2.

Let the integer be X

2x+64=99

2x= 99-64

2x= 34

x=34÷2

X= 17.5

The mean e(t) is 48.393 and the standard deviation sd(t) is approximately 2.850.

To determine the mean e(t) and standard deviation Sd(t) of the relay team's total time in the medley event, we need to calculate the weighted average and standard deviation of each swimmer's time.

The mean e(t) is calculated by adding up the product of each swimmer's time and the corresponding weight (number of strokes) and dividing it by the total weight.

\(e(t) = (49.39 * 2 + 55.67 * 1 + 48.76 * 3 + 45.8 * 4) / (2 + 1 + 3 + 4)\)

Calculating this expression, we get:

\(e(t) = (98.78 + 55.67 + 146.28 + 183.2) / 10\)

\(e(t) = 483.93 / 10\)
\(e(t) = 48.393\)

So, the mean e(t) is 48.393.

To calculate the standard deviation sd(t), we need to find the weighted variance and then take its square root.

First, we calculate the weighted variance by summing up the products of each swimmer's squared time difference from the mean and the corresponding weight, and dividing it by the total weight.

variance(t) = \([(2 * (49.39 - 48.393)^2) + (1 * (55.67 - 48.393)^2) + (3 * (48.76 - 48.393)^2) + (4 * (45.8 - 48.393)^2)] / (2 + 1 + 3 + 4)\)

Calculating this expression, we get:

variance(t) =\([2 * (0.997)^2 + 1 * (7.277)^2 + 3 * (0.367)^2 + 4 * (-2.593)^2] / 10\)
variance(t) =\([2 * 0.994 + 1 * 52.94 + 3 * 0.135 + 4 * 6.713] / 10\)
variance(t) =\((1.988 + 52.94 + 0.405 + 26.852) / 10\)

variance(t) =\(81.185 / 10\)

variance(t) = \(8.119\)

Finally, taking the square root of the variance gives us the standard deviation sd(t):

\(sd(t) = √8.119\)

\(sd(t) ≈ 2.850\)

So, the standard deviation sd(t) is approximately 2.850.

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The group you wish to generalize your results to is called the population (option b).

In statistical terms, the population refers to the entire set of individuals, items, or elements that possess certain characteristics of interest and from which a sample is drawn.

When conducting research or experiments, it is often not feasible or practical to collect data from the entire population due to factors such as time, cost, and accessibility.

Instead, a smaller subset known as a sample is selected to represent the larger population.

The purpose of sampling is to obtain information about the population by studying a more manageable and representative subset.

The goal is to make inferences and draw conclusions about the population based on the characteristics observed in the sample.

Generalizing the results from a sample to the population involves assuming that the sample is representative and accurately reflects the larger population.

Statistical techniques and methods are used to estimate population parameters, such as means, proportions, or relationships between variables, based on the data collected from the sample.

It is important to recognize that the accuracy of generalizations depends on the quality of the sample and the sampling methods employed. Additionally, sampling error (option c) refers to the variability or discrepancy between sample statistics and population parameters, which is inherent in the process of sampling.

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Answer:

The first one is mean absolute deviation and the second one is did not improve

Step-by-step explanation:

I took the test

The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

The given table is:

                  Mean     MAD

Last Year    16.2 s     1.2

This Year    14.7 s      1.9

Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.

The mean absolute deviation is bigger, but the change in the mean is bigger.

difference of the mean   16.2 - 14.7 = 1.5

difference of the MAD  1.9 - 1.2 = 0.7

This means that the average speed of the runners increased since last year,

and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.

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Answer:

Find x,If x + 15 = 30.

Step-by-step explanation:

Answer:7+3=10 4+6=10 2+8=10 12-2=10 14-4=10 20-10=10 10+0=10

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

180-120-20=40

a straight line is 180.

Therefore, the distance between Greensville and Bluesburg is 412.5 miles.

Caitlin drove from Greensville to Bluesburg at a speed of 50 miles per hour. On the way back, she drove at 75 miles per hour. The total trip took 7 and 1/2 hours of driving time. We are to find the distance between the two cities.Solution:

Let the distance between the two cities be d.Caitlin drove from Greensville to Bluesburg at a speed of 50 miles per hour. Let the time taken for this journey be t.

Using the formula, distance = speed x time, we get

;d = 50t (1)

On the way back, Caitlin drove at 75 miles per hour.

Let the time taken for this journey be t1.Using the formula, distance = speed x time, we get;d = 75t1 (2)We know that the total trip took 7 and 1/2 hours of driving time.Using equations (1) and (2),

we get

;\(50t + 75t1 = d + d = 2dd = 25(2t + 3t1) (3)\)

Also, we know that the total trip took 7 and 1/2 hours of driving time.Using equations (1) and (2),

we get;

t + t1 = 7.5 (4

)From equation (4), we can say;

t1 = 7.5 - t (5)

Substituting equation (5) into equation (3),

we get;

\(d = 25[2t + 3(7.5 - t)]\)

\(d = 25(15/2 + t/2)\)

\(d = 187.5 + 12.5td/25 = 15 + t/2d = 375 + 25td/2\)

Putting t = 3 in the above equation, we get

;\(d = 375 + 25(3)/2d = 375 + 37.5d = 412.5\)\(miles\)

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