Lucy used 3 gal of paint to cover 900 ft. She needs to cover a total of 1,100 ft?.
How many more gallons of paint does she need? Show your work.

The slope-intercept form is:

y = mx + b

Where

m is the slope

b is the y-intercept

Given Slope = 1/2, we can write:

Now, to find b, we put the point given (-7, -8), so:

Thus, we have the final equation as:

Answer: 6 and 2/4 minutes

Step-by-step explanation:

Answer:

we can immediately subtract 5$ from the 150$ cost. leaving us with 145$, then we can divide to see if 145 divided by 9 makes sense. it should be around 16.1111 but thats not a valid answer so we round down to 15. 15x9=145

Step-by-step explanation:

Answer:

(D) a two sample t -test for means

To determine if there is a significant difference in the average test score of talkative and quiet children at the age of 24 months, a two-sample t-test should be used.

To determine if there is a significant difference in the average test score of talkative and quiet children at the age of 24 months, you should use an Independent Two-Sample T-test. This test is appropriate because it compares the means of two independent groups (talkative and quiet) and the samples are simple random samples with the other conditions for inference being met. Here's a step-by-step explanation:

1. State the null and alternative hypotheses:
  H0 (null hypothesis): There is no significant difference in the average test score of talkative and quiet children (µ1 - µ2 = 0)
  Ha (alternative hypothesis): There is a significant difference in the average test score of talkative and quiet children (µ1 - µ2 ≠ 0)

2. Calculate the sample means, sample standard deviations, and sample sizes for each group.

3. Calculate the test statistic (T-value) using the formula:
  T = (M1 - M2) / sqrt((SD1² / n1) + (SD2² / n2))

4. Determine the degrees of freedom (df) using the formula:
  df = min(n1 - 1, n2 - 1)

5. Find the critical T-value from the T-distribution table for the given level of significance (e.g., α = 0.05) and the calculated degrees of freedom.

6. Compare the calculated T-value to the critical T-value:
  - If the calculated T-value is greater than or equal to the critical T-value, reject the null hypothesis.
  - If the calculated T-value is less than the critical T-value, fail to reject the null hypothesis.

7. Interpret the results in the context of the study, which is the relationship between language skills, mental development, and talkative/quiet children at the age of 24 months.

to learn more about  two-sample t-test click here:

brainly.com/question/13201390

#SPJ11

Multicollinearity refers to the degree of correlation among independent variables in a regression model.

In a multiple regression model, one predictor variable can be predicted linearly from the others using a high degree of accuracy when there is a phenomenon known as multicollinearity (also known as collinearity). In this case, minor adjustments to the model or the data may cause the multiple regression's coefficient estimates to fluctuate unpredictably. Multicollinearity only impacts calculations pertaining to specific predictors; it has no impact on the predictive capability or reliability of the model as a whole, at least within the sample data set. In other words, a multivariate regression model with collinear predictors can show how well the complete set of predictors predicts the outcome variable, but it could not provide accurate information about any particular predictor or which predictors are redundant in relation to others.

To learn more about Multicollinearity, visit:

https://brainly.com/question/14161288

#SPJ4

The most general antiderivative of f(x) = x^(5) − x^(3) + 6x is F(x) = (1/6)x^(6) − (1/4)x^(4) + 3x^(2) + C and the most general antiderivative of f(x) = x^(4) is F(x) = (1/5)x^(5) + C.

a. The most general antiderivative of f(x) = x^(5) − x^(3) + 6x is F(x) = (1/6)x^(6) − (1/4)x^(4) + 3x^(2) + C, where C is the constant of integration.

To check this answer, we can differentiate F(x) using the power rule and the constant multiple rules:

F'(x) = (1/6)(6x^(5)) − (1/4)(4x^(3)) + 3(2x)
= x^(5) − x^(3) + 6x

This equals the original function f(x), so our antiderivative is correct.

Note that we do not need to use absolute values in this case because x^(5), x^(3), and 6x are all defined for all values of x.

b. The most general antiderivative of f(x) = x^(4) is F(x) = (1/5)x^(5) + C, where C is the constant of integration.

To check this answer, we can differentiate  F(x) using the power rule and the constant multiple rules:

F'(x) = (1/5)(5x^(4))
= x^(4)

This equals the original function f(x), so our antiderivative is correct.

Again, we do not need to use absolute values because x^(4) is defined for all values of x.

To know more about antiderivatives visit here :

https://brainly.in/question/5528636

#SPJ11

Answer:

The correct answer is D. 2

Step-by-step explanation:

i think answer is D.2

The steps are shown on the screenshots as well.

The trig ratios used were sine and tangent

Make sure your calculator is in degree mode.

The quadratic equations are given as follows:

37. y = 1.6(x² - 2x - 3).

38. y = x² - x.

39. y = 0.4074(x² - 12x + 11).

The roots of the quadratic equation are at x = -1 and x = 3, hence it can be written as follows:

y = a(x + 1)(x - 3)

In which a is the leading coefficient.

Hence:

y = a(x² - 2x - 3)

When x = 1, y = -8, hence the leading coefficient a can be found as follows:

-8 = a(1 - 2 - 3)

5a = 8

a = 8/5

a = 1.6

Hence the equation is:

y = 1.6(x² - 2x - 3).

The roots of the quadratic equation are at x = 0 and x = 1, hence it can be written as follows:

y = ax(x - 1)

Hence:

y = a(x² - x)

When x = 2, y = -2, hence the leading coefficient a can be found as follows:

2 = a(2² - 2)

2a = 2

a = 1.

Hence the equation is:

y = x² - x.

The roots of the quadratic equation are at x = 1 and x = 11, hence it can be written as follows:

y = a(x - 1)(x - 11)

Hence:

y = a(x² - 12x + 11)

When x = 2, y = -11/3, hence the leading coefficient a can be found as follows:

-11/3 = a(4 - 24 + 11)

9a = 11/3

a = 11/27

a = 0.4074.

Hence the equation is:

y = 0.4074(x² - 12x + 11).

More can be learned about quadratic equations at https://brainly.com/question/24737967

#SPJ1

Is this the equation ur supposed to solve because the question was a little bit messy

\( \frac{ - 75x}{4} > \frac{14}{2} \)

Answer

If the angle is in the 4th quadrant, its sine is negative and its cosine is positive.

First, let's calculate the cosine of a, using the trigonometrical identity below:

Now, we can use the formula below to calculate the cosine of 2a:

Let the first number be x

Then the second odd number would be x  +2

The third one would be x + 4

Add them together to equal 75:

x + x +2  + x+4 = 75

Simplify:

3x + 6 = 75

Subtract 6 from both sides:

3x = 69

Divide both sides by 3:

x = 23

First number = 23

Second number = 25

Third number = 27

Answer:

Step-by-step explanation:

Payment is directly proportional with the time:

Correct choice is A

Answer:

The answer is SI of $1980

Step-by-step explanation:

\(x = 1\)

\( \)

HOPE It Helps it;D

Answer:

 2 • (x + 3)

Step-by-step explanation:

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

To learn more on line segments: https://brainly.com/question/25727583

#SPJ1

Answer:

Step-by-step explanation:Okay so first you have to find out if -2 is your growth or y-axis.Your y-axis is when the line hits the up and down graph line.Your -2 is most likely your growth now you need to create a starting point it can be 10 for example then you would subtract 2 from it everytime you place a new dot like (0,10) and then (1,8) and so on.If u make a table the x will be on the left side this is where u will put the number 0,1,2,3.for everytime you make a dot on the graph.

Answer:

x-intercept(s):  (−1/13,0),(−19/7,0)

y-intercept(s):  (0,19)

Step-by-step explanation:

Answer: I believe your answer is the median.

Step-by-step explanation:

Answer:

C: median

hope this helps

Answer:

35 as a fraction is 7/20

Step-by-step explanation:

Answer:

11/35

Step-by-step explanation:

Responder:

57288.35 kN

Explicación paso a paso:

Paso uno:

datos dados

diámetro del tubo de entrada = 2 cm = 0.02 m

área = πd ^ 2/4

área = 3.142 * 0.02 ^ 2/4

área = 0.0003142m ^ 2

A1 = 3.14 * 10 ^ -4 m ^ 2

diámetro del pistón de salida = 32cm

masa del coche = 1800 kg

peso del coche = 1800 * 10 = 18000N

carga F2 = 18000N

Segundo paso:

Se requiere la presión aplicada P2

Aplicando la ecuación de presión para un fluido incompresible tenemos

P1 = F2 / A1

P1 = 18000 / 0,0003142

P1 = 57288351.36

P1 = 57288.35 kN

a. the sampling distribution is  \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)

b. The probability that the sample proportion is within 0.03 of the population proportion is 0.4101.

c. The probability that the sample proportion is within 0.03 of the population proportion for a sample of 200 households is 0.7738.

a. The sampling distribution of the sample proportion, \(\bar p\), can be approximated by a normal distribution with mean equal to the population proportion, p, and standard deviation equal to the square root of \([(p \times (1-p)) / n]\),

where n is the sample size.

Given that p = 0.17 and assuming a large enough sample size, we can use the formula to calculate the standard deviation of the sampling distribution:

Standard deviation = \(\sqrt{[(0.17 \times (1-0.17)) / n]}\)

b. To find the probability that the sample proportion will be within a certain range of the population proportion, we need to calculate the z-score for the lower and upper bounds of that range and then find the area under the normal curve between those z-scores.

Let's say we want to find the probability that the sample proportion is within 0.03 of the population proportion. This means we want to find

P(\(\bar p\)- p ≤ 0.03) = P((\(\bar p\)-- p) / \(\sqrt{[(p \times (1-p)) / n]}\) ≤ 0.03 / \(\sqrt{[(p \times (1-p)) / n]\)

We can use the standard normal distribution and z-scores to find this probability:

\(z_1\) = (0.03 / \(\sqrt{(0.17 \times (1-0.17)/n}\))

\(z_2\) = (-0.03 / \(\sqrt{(0.17 \times (1-0.17))/n}\))

We can find the probability that the z-score is between \(z_1\) and \(z_2\):

P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.541 ≤ Z ≤ 0.541) = 0.4101

c. To answer part (c), we need to specify the sample size. Let's say we are taking a sample of 200 households.

Using the formula for standard deviation of the sampling distribution from part (a), we get:

Standard deviation = \(\sqrt{(0.17 \times(1-0.17)) / 200}\) = 0.034

Now we can repeat the same steps as in part (b) with this standard deviation:

\(z_1\) = (0.03 / 0.034)

\(z_2\) = (-0.03 / 0.034)

P(\(z_1\)≤ Z ≤ \(z_2\)) = P(-0.882 ≤ Z ≤ 0.882) = 0.7738

For similar question on sampling distribution

https://brainly.com/question/29368683

#SPJ11

The area of the room is 168 square feet, obtained by multiplying the length (3.5 yards converted to 10.5 feet) by the width (4 yards converted to 12 feet).

To calculate the area of the room, we first need to convert the measurements from yards to feet. Since 1 yard is equal to 3 feet, the length of the room is 3.5 yards × 3 feet/yard = 10.5 feet, and the width is 4 yards × 3 feet/yard = 12 feet.

To find the area, we multiply the length by the width: 10.5 feet × 12 feet = 126 square feet.

Therefore, the area of the room is 126 square feet.

It's important to include units in our calculations to ensure accurate measurements and conversions. In this case, we converted the measurements from yards to feet to maintain consistency. By multiplying the length and width, we obtained the total area of the room in square feet, which is 126 square feet.

To learn more about Area calculation, visit:

https://brainly.com/question/2607596

#SPJ11

The answer is: 0.0362

The total number of Master's degree holders = 2848 (from the question)

In order to choose people 40 and above from this Master's degree holder subset,

You choose:

People 40-49 AND People 50 and over.

Number of people 40-49 = 475

Number of people 50 and over = 699

But we also need to take into consideration, the probability of picking a person 40-49 years old OR 50 and over

total Number of people 40 - 49 are 3518

The total Number of people 50 and above are 6518

Thus, we can write the probability as:

The final answer is: 0.0362

At the fidelity credit union, the mean number of customers who arrive hourly at the drive-through window is 4.9. It is required to determine the probability of fewer than 1 customer arriving in any hour.

Answer: 0.00796.

The solution to this problem is discussed below:

The given information implies that the mean value of the Poisson distribution, λ = 4.9.

In a Poisson distribution, the probability of x occurrences during a particular interval is given by:

P(x; λ) = e–λ λx / x!

Where e is approximately equal to 2.71828.

Let x = 0 since we need the probability of less than 1 customer in an hour.

P(x < 1) = P(x = 0) + P(x = 1) + P(x = 2) + …P(x < 1) = e-4.9 4.90 / 0!P(x < 1) = e-4.9 1P(x < 1) = 0.00796

The probability of fewer than 1 customer arriving in any hour is 0.00796 (rounded to four decimal places)

Learn more about Probability .

brainly.com/question/30034780

#SPJ11

Answer:

total distance

should be right

please be right

hey if right can i be brainliest

Step-by-step explanation:

Answer:

  False

Step-by-step explanation:

You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.

Once a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.

The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.

An example with the asymptote y = 0 is attached.

<95141404393>