Help soon pls!!!!!
A water drilling rig is drilling at a constant rate. At 5:00 the drill is at a depth of 5 feet. Twenty minutes later the drill is at a depth of 9 feet.

How many more minutes will it take for the drill to reach a depth of 15 feet?

Answer:

Brand B is the better price because it is approx $0.13 per pencil, and Brand A is more expensive because it is $0.17 per pencil.

Step-by-step explanation:

Brand A:

7.97/48 = 0.16604166666 = approx $0.17 per pencil

Branch B:

9/72 = 0.125 = approx $0.13 per pencil

Brand B is the better price because it is approx $0.13 per pencil and Brand A is more expensive because it is $0.17 per pencil.

Answer:

\(15 {cm}^{2} \)

Step-by-step explanation:

There's no need of hypotenuse for finding area of the triangle. To find the area of a triangle ,

Formula is =\( \frac{1}{2} \times base \times height\)

Base of the triangle = 10 cm

Height of the traingle = 3 cm

Area of the triangle = \( \frac{1}{2} \times 10 \times 3 = 15 {cm}^{2} \)

Answer:B

its B on edg 2022

Step-by-step explanation:

The range in which 95% of the scores lie is between 75 and 95.

According to the Empirical Rule: For a normal distribution, approximately 68% of the data falls within 1 standard deviation of the mean, approximately 95% of the data falls within 2 standard deviations of the mean, and approximately 99.7% of the data falls within 3 standard deviations of the mean.

So, about 95% of the scores lie between 75 and 95. T

This is because the mean score is 85 and one standard deviation is 5, so one standard deviation below the mean is 80 (85-5) and one standard deviation above the mean is 90 (85+5).

Two standard deviations below the mean are 75 (85-2*5) and two standard deviations above the mean is 95 (85+2*5).

Therefore, the range in which 95% of the scores lie is between 75 and 95.

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\(ans = \boxed{ 0.6}\)

\(since \: cot( \theta)= \frac{1}{ \tan( \theta) } \\ \frac{1}{ \tan( \theta) } = 1.5 \\ (1.5)\tan( \theta) = 1 \\ \tan( \theta) = \frac{1}{1.5} = 0.6666666667 \\ \theta = { \tan}^{ - 1} (0.6666666667) \\ \theta = 33.69 \\ hence: \sin( \theta) = \sin(33.69) = 0.5546992156\)

The probability that all of them get the same number is 1/36.

Given :

Three people are asked to throw a fair die.

Probability :

Probability is a branch of mathematics that deals with the occurrence of a random event.

In one dice probable outcomes 1, 2, 3, 4, 5 and 6

Total out comes in three dice = ( 6 * 6 * 6 = 216 )

Probability of getting 1 = 1/216

Similarly for 2, 3, 4, 5 and 6

Probability of getting same number = 6 * 1/6 * 1/6 * 1/6

= 6*1/6 * 1 * 1 / 6 * 6

= 6/6 * 1/36

= 1 * 1/36

= 1/36

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Answer:

Step-by-step explanation:

Simplificando

7x + -1 [4x + -3 (x + -1)] = x + 12

Reordenar los términos:

7x + -1 [4x + -3 (-1 + x)] = x + 12

7x + -1 [4x + (-1 * -3 + x * -3)] = x + 12

7x + -1 [4x + (3 + -3x)] = x + 12

Reordenar los términos:

7x + -1 [3 + 4x + -3x] = x + 12

Combinar términos semejantes: 4x + -3x = 1x

7x + -1 [3 + 1x] = x + 12

7x + [3 * -1 + 1x * -1] = x + 12

7x + [-3 + -1x] = x + 12

Reordenar los términos:

-3 + 7x + -1x = x + 12

Combinar términos semejantes: 7x + -1x = 6x

-3 + 6x = x + 12

Reordenar los términos:

-3 + 6x = 12 + x

Resolviendo

-3 + 6x = 12 + x

Resolviendo para la variable 'x'.

Mueva todos los términos que contengan x hacia la izquierda, todos los demás términos hacia la derecha.

Agrega '-1x' a cada lado de la ecuación.

-3 + 6x + -1x = 12 + x + -1x

Combinar términos semejantes: 6x + -1x = 5x

-3 + 5x = 12 + x + -1x

Combinar términos semejantes: x + -1x = 0

-3 + 5x = 12 + 0

-3 + 5x = 12

Agrega '3' a cada lado de la ecuación.

-3 + 3 + 5x = 12 + 3

Combinar términos semejantes: -3 + 3 = 0

0 + 5x = 12 + 3

5 veces = 12 + 3

Combinar términos semejantes: 12 + 3 = 15

5 veces = 15

Divida cada lado por '5'.

x = 3

Simplificando

x = 3

The total time for all the jobs is 19 + 13 + 13 + 21 + 24 = 90 hours.

Johnson's Rule is a sequencing method used to determine the order in which jobs should be processed in a two-step system. It is based on the processing times of each job in the two steps. In this case, the processing times for each job in operation 2 at Job Process 1 and Process 2 are given as follows:

Job A: Process 1 - 12 hours, Process 2 - 9 hours
Job B: Process 1 - 8 hours, Process 2 - 11 hours
Job C: Process 1 - 7 hours, Process 2 - 6 hours
Job D: Process 1 - 10 hours, Process 2 - 14 hours
Job E: Process 1 - 5 hours, Process 2 - 8 hours

To determine the order, we first need to calculate the total time for each job by adding the processing times of both steps. Then, we select the job with the shortest total time and schedule it first. Continuing this process, we schedule the jobs in the order of their total times.

Calculating the total times for each job:
Job A: 12 + 9 = 21 hours
Job B: 8 + 11 = 19 hours
Job C: 7 + 6 = 13 hours
Job D: 10 + 14 = 24 hours
Job E: 5 + 8 = 13 hours

The job with the shortest total time is Job B (19 hours), so it is scheduled first. Then, we schedule Job C (13 hours) since it has the next shortest total time. After that, we schedule Job E (13 hours) and Job A (21 hours). Finally, we schedule Job D (24 hours).

Therefore, the order in which the jobs would complete processing on operation 2 at Job Process 1 and Process 2, when using Johnson's Rule, is:

Job B, Job C, Job E, Job A, Job D

The total time for all the jobs is 19 + 13 + 13 + 21 + 24 = 90 hours.

Therefore, the correct answer is not provided in the options given.

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The cumulative downtime per year of an SLA percentage of 99.95 is 4 hours, 21 minutes, 58 seconds.

The  SLA Downtime refers to the time duration that a machine or service is unavailable.

The SLA Uptime is the amount of time a machine or service is available.

The cumulative downtime per year of an SLA percentage of 99.95 will give the following:

An SLA percentage of 99,95 gives 43 seconds daily downtime.

In a year, cumulative downtime = 43 seconds  * 365 = 15695 seconds

Converting to hours and minutes give a downtime of 4 hours, 21 minutes, 58 seconds.

In conclusion, downtime refers to unavailability of a given machine or service.

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Answer:

y = -3x + 3

Step-by-step explanation:

Knowing that;

Slope Intercept form : y = mx + b

To Find the Slope:

Used any given ordered pair given and use- m =  \(\frac{y_2-y_1}{x_2- x_1}\)

Given Table:

X                  Y

1                   0

2                  -3

3                  -6

4                  -9

Solve:

I will use the ordered pair:

(1,0)

(2, -3)

1 and 2 are "x"

0 and -3 are "y"

m \(=\frac{-3-0}{2- 1}\)

m \(=\frac{-3}{1}\)

m \(=\) -3

Now putting the value of m in equation

y = -3x + b

To find the y intercept (b) in the slope intercept formula:

Choose any ordered pair and substitute it in the slope intercept.

Let's choose the first point, (1,0) for calculating y-intercept.

Now plug it in the slope intercept formula:

y = mx + b

y = -3x + 3

Hence, the slope intercept form for that table is:

y = -3x + 3.

RevyBreeze

Answer:

The answer is 0

Step-by-step explanation:

because the x intercept is 5,0

Answer:

you find the area of triangle by the formula

1/2×base×height

Answer:

Area of triangle = ½ × base × height

Step-by-step explanation:

(A = ½ × b × h)

This formula is mainly used to find the area of the triangle.

Step-by-step explanation:

I guess, it means every meter costs these amounts.

and the specified costs are not fit the whole bundle.

it is also unclear, if "half of it" means half of the original x meters, or half of the remaining meters (after selling 2/5 of the original meters). I assume the first.

so, we have

-5x

+ 2/5x × 5.5

+ 1/2x × 6.4

+ (10/10 - 4/10 - 5/10)x × 6 = + 1/10x × 6

= 120 ( a income minus costs is the profit, so balancing both sides in a "+" and "-" expression gives us the remaining profit).

about the line with the 1/10 :

the leftovers. 10/10 is the whole x at the beginning.

2/5 = 4/10.

1/2 = 5/10.

I brought all involved fractions to the same denominator of the smallest common multiple of 2 and 5 (10).

in full

-5x + (2/5)x×5.5 + (1/2)x×6.4 + (1/10)x×6 = 120

-5x + 2.2x + 3.2x + 0.6x = 120

-5x + 6x = 120

x = 120

so, he bought 120m in the first place.

The fact that the median weight is equidistant from both the minimum and maximum weights indicates a symmetric distribution.

In a distribution, symmetry refers to the balance or equality between the left and right sides of the distribution. When the median, which represents the center of the distribution, is equidistant from both the minimum and maximum values, it suggests a symmetric distribution.

In this case, the median weight is equally distant from the minimum weight, which is around 90-ish pounds, as it is from the maximum weight, which is around 200-ish pounds. This suggests that there is an equal number of data points on both sides of the median, creating a balanced distribution.

A symmetric distribution is characterized by a bell-shaped curve, with the mean, median, and mode all located at the center. It indicates that the data is evenly spread around the central tendency, without any skewness or asymmetry. This information about the distribution can be useful for understanding the overall pattern and variability of the data.

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The measure of the angle ABC from the given triangle is 63 degree.

Given that, AC is tangent to the circle with center at B. The measure of ∠ACB is 27°.

We know that, the angle formed between the radius and tangent is 90°.

By using angle sum property of triangle in ΔABC, we get

∠ACB+∠BAC+∠ABC=180°

27°+90°+∠ABC=180°

117°+∠ABC=180°

∠ABC=63°

Therefore, the measure of the angle ABC from the given triangle is 63 degree.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Step 1. We are given a table with values for Y and their corresponding probability P(Y).

Required: Find the expected value of Y.

Step 2. First, we will label the Y values as Y1, Y2, Y3, Y4 as shown in the diagram:

And we will label the corresponding probabilities as P1, P2, P3, and P4, shown in the following diagram:

Step 3. The formula to calculate the expected value E(Y) is:

Step 4. Substituting the values from step 2 into the formula from step 3:

Solving the operations:

The expected value is 15.5

Answer: 15.5

The developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.

First, we need to find out how much land the developer has reserved for streets and green space:

25% of 80 acres = 0.25 x 80 = 20 acres

Now, we need to subtract this from the total area to get the area available for residential lots:

80 acres - 20 acres = 60 acres

Next, we need to convert the area into square feet:

60 acres x 43,560 square feet/acre = 2,613,600 square feet

Finally, we can divide the available area by the minimum required area per lot to find the maximum number of permissible lots:

2,613,600 square feet ÷ 9,500 square feet/lot ≈ 275 lots

Therefore, the developer can build a maximum of 275 residential lots on the land, given the zoning regulations and the reservation of 25% of the land for streets and green space.

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The variable "home prices in a small town" is quantitative. Quantitative variables are those that can be measured numerically and represent some kind of quantity or amount.

In this case, home prices are typically represented by numerical values such as dollar amounts.

On the other hand, qualitative variables are non-numerical and represent categories or qualities.

Since home prices in a small town can be expressed as numerical values, the variable is considered quantitative.

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To determine the values of x whose distance from 8 is less than 6, we can start by considering the definition of distance. The distance between two numbers, a and b, is given by |a - b|.  Answer is d) |x - 8| < 6.

In this case, we want the distance between x and 8 to be less than 6. Mathematically, this can be expressed as |x - 8| < 6.

the correct answer is d) |x - 8| < 6.

Option a) |x - 6| > 8 represents values of x whose distance from 6 is greater than 8, which is not relevant to the given question.

Option b) |x - 6| < 8 represents values of x whose distance from 6 is less than 8, which is not specifically related to the distance from 8.

Option c) x - 8| < 6 is an incomplete expression and does not correctly represent the distance between x and 8.

Therefore, the correct answer is d) |x - 8| < 6.

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Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

x=4

Step-by-step explanation:

There

In summary  h'(t) = 2t - 3t²2 + 4 and h(t) = t²2 - t²3 + 4t + 1. To solve this problem, we will integrate the given second derivative of h(t) twice to find h(t).

Given: h"(t) = 2 - 6t

Integrating once with respect to t gives us:

h'(t) = ∫ (2 - 6t) dt

h'(t) = 2t - 3t²2 + C1

where C1 is the constant of integration.

Given: h'(0) = 4

Substituting t = 0 and h'(t) = 4 into the above equation, we get:

4 = 2(0) - 3(0)²2 + C1

C1 = 4

Substituting C1 = 4 back into h'(t), we get:

h'(t) = 2t - 3t²2 + 4

Integrating h'(t) once with respect to t gives us:

h(t) = ∫ (2t - 3t²2 + 4) dt

h(t) = t²2 - t²3 + 4t + C2

where C2 is the constant of integration.

Given: h(0) = 1

Substituting t = 0 and h(t) = 1 into the above equation, we get:

1 = 0²2 - 0²3 + 4(0) + C2

C2 = 1

Substituting C2 = 1 back into h(t), we get:

h(t) = t²2 - t²3 + 4t + 1

Therefore, h'(t) = 2t - 3t²2 + 4 and h(t) = t²2 - t²3 + 4t + 1.

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Answer:

1-2a is the largest for   -1 > a > -2.41

a^2 is the largest for  -2.41 > a.

Step-by-step explanation:

We want to find the expression with the largest value.

Remember that the sign is important here, because:

1 is larger than -10

So we will look at the expressions that, when evaluated in a negative number, give a positive number.

The only two options in the case:

a < -1

are:

1-2a

and

a^2

So we have a linear equation and a quadratic equation.

We know that quadratic equations grow a lot faster than linear equations for all values larger than 1 (or minus one, because the sign does not matter).

if -1 < a < 1, a quadratic function grows really slow, but this is not the case.

So from now, we can guess that a^2 is larger.

But let's solve it graphically.

Let's define two functions:

f(a) = 1 - 2*a

g(a) = a^2

Now we can graph these two, and look at the region a < -1, and see which one is larger.

in the image, you can see that there is a small region from:

-1 > a > -2.41

Where the linear equation is larger, and for:

a < -2.41

The quadratic equation is larger.

Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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Answer:

D

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

b/c 2x·2x-7·7

=4x²-49

Answer:

The change in latitude, Δφ, from Liverpool to Melbourne is 91.22° south

The change in longitude, Δλ, from Liverpool to Melbourne is 147.95° East

Step-by-step explanation:

The parameters given are;

The latitude of Liverpool is 53.41°

The longitude of Liverpool is -2.99°

The latitude of Melbourne is -37.81°

The longitude of Melbourne is 144.96°

The change in latitude from Liverpool to Melbourne = Δφ

Δφ = 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

The change in latitude, Δφ, from Liverpool to Melbourne = 91.22° south

The change in longitude from Liverpool to Melbourne = Δλ

Δλ = -2.99° - 144.96°  = -147.95°

Therefore the change in longitude from Liverpool to Melbourne = 147.95° East.

Answer:

the difference in latitude is 91.22°

the difference in longitude is 147.95°

Explanation:

For Liverpool, London. The latitude is 53.41°, longitude is -2.99°

For  Melbourne, Australia. The latitude is -37.81°, longitude is 144.96°

The negative or positive magnitude of their values shows their position on either sides of the origin of the latitude (equator) and the origin of the longitude (prime meridian).

The latitude measures the relative position of a point, north or south of the equator (latitude 0°). The longitude measures the relative position, east or west of the prime meridian (longitude 0°)

the difference in latitude is 53.41° - (-37.81°) = 53.41° + 37.81° = 91.22°

the difference in longitude = 144.96° - (-2.99°) = 144.96 + 2.99 = 147.95°