y = x2+x-30
what are the factors

Answer:

5,000000

Step-by-step explanation:

so imultiplyied

Answer:

40%

Step-by-step explanation:

If there are 1200 students in the school and 720 of them are boys that means 480 of them are girls.

I like to do cross multiply and divide so the equation for that would be  480/120 = ?/100

if you cross and multiply 480 by 100 you will get 48000 then if you divide that by 1200 you will get 40 as your missing value.

Im basically just saying 480/1200 = 40%

If you need further help there are plenty of you tube videos on how to cross  multiply and divide

Hope this helps

- Please mark brainliest :)

The integral of g(x) is g(x) = -(1/2)sin(x³/2) + (1/2).

To find g(x), we use the following steps:

Therefore, the integral of g(x) is g(x) = -(1/2)sin(x³/2) + (1/2).

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Answer:

3 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

plug in the value of m.

\(8^{2}\)-15 = 64 - 15 = 49

The given statement "the probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring." is False.

The union of two events A and B represents the event that at least one of the events A or B occurs. The probability of the union of two events can be calculated using the formula:

P(A or B) = P(A) + P(B) - P(A and B)

On the other hand, the intersection of two events A and B represents the event that both events A and B occur. The probability of the intersection of two events can be calculated using the formula:

P(A and B) = P(A) * P(B|A)

where P(B|A) is the conditional probability of B given that A has occurred.

It is possible for the probability of the union of two events to be greater than the probability of the intersection of two events if the two events are not mutually exclusive.

In this case, the probability of both events occurring together (the intersection) may be relatively small, while the probability of at least one of the events occurring (the union) may be relatively high.

In summary, the probability of the union of two events occurring can sometimes be greater than the probability of the intersection of two events occurring, depending on the relationship between the events.

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Answer:

-3 + 9i

Step-by-step explanation:

The conjugate of -3i is - 3 - i.

(- 3 i) × (- 3 - i)

Multiply both terms.

-3 + 9i

The multiplication of the complex number -3i and it’s conjugate 3i is 9.

A complex number is characterized by an ordered pair of numbers, the real and imaginary parts. It can be represented in multiple ways such as Standard form(rectangular form), Polar form, Exponential form.

For the given situation,

The complex number is -3i.

The conjugate of a complex number a+bi is a-bi.

So, the conjugate of a complex number \(-3i\) is \(3i\)

Now multiply -3i and 3i, we get

⇒ \((-3i)(3i)\)

⇒ \(-9(i^{2} )\)

⇒ \(-9(-1)\)               [∵ \(i^{2}=-1\)]

⇒ \(9\)

Hence we can conclude that the multiplication of the complex number -3i and it’s conjugate 3i is 9.

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It will take all three pumps, Working together, 1.56 minutes to fill the pool.

The given information, we can write three equations as follows:

1) (1/A + 1/B)*35 = C  ---(Equation 1)

2) (1/B + 1/C)*40 = C  ---(Equation 2)

3) (1/A + 1/C)*56 = C  ---(Equation 3)

We want  how many minutes it will take all three pumps, working together, to fill the pool, so let's represent the time taken by all three pumps working together as "t".

When all three pumps work together, they can fill the pool in one minute, so their combined rate is 1/C.

Using the rate formula, we can write the following equation:

1/A + 1/B + 1/C = 1/t   ---(Equation 4)

We have four unknowns (A, B, C, and t), so we need to solve for one of them to get the answer. Let's solve for "t".

First, we can simplify Equations 1, 2, and 3 as follows:

1) 1/A + 1/B = C/35

2) 1/B + 1/C = C/40

3) 1/A + 1/C = C/56

Next, we can substitute these equations into Equation 4 to get:

(C/35) + (C/40) + (C/56) = 1/t

Now, we can simplify and solve for "t":

LCD = 39200

1120C + 980C + 700C = 39200

2800C = 39200

C = 14

Substituting this value of "C" into any of the simplified equations, we can solve for "A" and "B". Let's use Equation 1:

1/A + 1/B = 14/35

5(A+B) = 98

A+B = 19.6

Now we can use A+B+C = 1/t to solve for "t":

t = 1 / (A+B+C) = 1 / (19.6 + 14) = 0.026 hours = 1.56 minutes

Therefore, it will take all three pumps, working together, 1.56 minutes to fill the pool.

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Answer:

No, Walden was not asking a statistical question because all the people living in the same house would give him the same answer to his question. So the question did not allow for multiple answers among the population that it was posed to.

Step-by-step explanation:

i did the test

Answer:

Below

Step-by-step explanation:

The plane's distance is the hypotenuse of a right triangle with legs of

(50 -20)mi = 30 miles     and     30500 - 18000 = 12500 ft

                             for consistent units  12500ft/5280ft/mile = 2.36742 miles

Now just use Pythagorean theorem

Hypotenuse^2 = leg1^2 + leg2^2

               h^2    = 30^2 + 2.36742^2

                   h = ~ miles 30.093 miles  ( note that the vertical descent distance does not matter much)

    (this is 158 892 feet)

a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.

If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.

Mathematically, this can be written as

a = kb and b = mc, where k and m are constants of proportionality.

Multiplying these two equations gives: a = kbm

Substituting the value of b from the second equation in the first equation, we get: a = kmc

Therefore, a and c are also directly proportional to each other with a constant of proportionality km.

Thus, if a increases by a certain factor, c will also increase by the same factor.

If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.

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The point on the surface that ensures the tangent plane contains (3,0,0) is (1/2, 0, 1/4).To find a point on a surface that ensures the tangent plane contains the point (3,0,0), we need to use the following steps:

Find the gradient vector of the surface at a general point (x,y,z).

Set the gradient vector equal to the normal vector of the tangent plane passing through (3,0,0). Since the normal vector of the tangent plane is perpendicular to the plane, it must be orthogonal to the gradient vector.

Solve the resulting system of equations for x, y, and z to find the specific point on the surface that satisfies the condition.

For example, let's consider the surface defined by the equation z = x^2 + y^2. The gradient vector of this surface is given by <2x, 2y, -1>. Setting this equal to the normal vector of the tangent plane passing through (3,0,0), which is <1,0,0>, gives us the following system of equations:

2x = 1

2y = 0

-1 = 0

Solving for x and y, we get x = 1/2 and y = 0. Plugging these values into the original equation of the surface, we get z = (1/2)^2 + 0^2 = 1/4. Therefore, the point on the surface that ensures the tangent plane contains (3,0,0) is (1/2, 0, 1/4).

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The probability that a randomly selected student scored between 70 and 84 is 0.8351

Probability is simply how likely something is to happen.

Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

given that:

mean = 80

standard deviation = 4

now we need to find the probability of students scored between 70 and 84

P(70<X<84) = P(X<84) - P(X>70)

                   = P(Z<(84-80)/4)-P(Z>(70-80)/4)

                   =P(Z<1) - P(Z>-2.5)

                   = 0.8413-0.0062

                   = 0.8351

the probability that a randomly selected student scored between 70 and 84 is 0.8351

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Answer:

\(3=e\)

Step-by-step explanation:

I know this might be late but I can help if you still need it

So in the equation \(2=e-1\), we need \(e\) by itself. To do that we need to add \(1\) to each side. We do this because the side that \(e\) is on, the \(1\) is being subtracted and we need to do the opposite of subtraction which is addition.

\(2=e-1\)

\(+1\)     \(+1\)

So the new equation:

\(3=e\)

Hope this helped!
Stay safe and have a great day/night! (:

Answer:

A

Step-by-step explanation:

The number of people in a household with 2.5 pounds of waste are = 11

and we calculate this on the basis of question below

Predict the number of people in a household with 2.5 pounds of waste pounds of waste 0.27,1.41,2.19,2.83,2.19,1.81,0.85,3.05. In Home 2 3 3 6 4 2 1 5

pound    0.27  ,1.41,  2.19  ,2.83  ,2.19  ,1.81  ,0.85,  3.05  

people      2          3      3       6        4        2        1       5

so now the question is complete

in pound section we have to take care which value are greater than 2.5

so 2.83 and 3.05 is greater than 2.5 so here  number of people who's home have greater than 2.5 pound of waste are 6+6=11

and rest people who's home has less than 2.5 pound waste are 2+3+3+4+2+1=15

so final ans is 11.

so this question was in complete and this ans is valid for this Question only.

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The mean absolute deviation of the given scores of Robin as shown in the diagram atatched is: 5.2.

The mean absolute deviation of a data set is determined by finding the average of the distance of each data point from the mean of the data set.

Given that the distance from the mean are: 8, 1, 5, 0, 12,

Mean absolute deviation = (8 + 1 + 5 + 0 + 12)/5

Mean absolute deviation = 26/5

Mean absolute deviation = 5.2.

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Linear functions are those whose graph is a straight line and it has the following form. y = f(x) = a + bx.

There are several ways to represent a linear function such ad word form, function notation, tabular form, and graphical form.

The key features of a linear function identified and interpreted from a description as an increasing linear function results in a graph that slants upward from left to right and has a positive slope.

A linear function can be expressed as a point slope or a line with a slope intercept. The ordered pairs will represent points on the line where a table of values representing the function is provided. According to the values in the table, the gradient of the line is a ratio of rise to run. The gradient and initial value of the function are shown in slope intercept form.

A graph with a positive slope and a left-to-right slope is produced by an increasing linear function. A graph with a negative slope and a left-to-right slant is produced by a decreasing linear function. A graph with a constant linear function looks like a horizontal line.

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Answer:

Step-by-step explanation:

let (x,y) be any point on the locus.

Then

\(\sqrt{(x-1)^2+(y-6)^2} =7\\or\\(x-1)^2+(y-6)^2=49\\which ~is~a~circle.\)

( x -4 ) ^2 = 25

Finding the square root of both sides,

x- 4 = 5

Adding 5 to both sides

x = 5 + 4

x = 9

Answer:

See explanation below.

Step-by-step explanation:

First, read this explanation of how to understand probability numbers.

A probability number is a number from 0 to 1. It can be written as a decimal, a fraction, or a percent, but it must be from 0 to 1. The numbers 0, 25%, 1/3, 0.75 are all examples of probabilities since they are all from 0 to 1. 25% is the same as 0.25; 1/3 is the same as 0.333... All probabilities are expressed as 0, 1, or a number in between 0 and 1.

A probability of 0 means the event will not happen. It is an impossibility.

A probability of 1 or 100% is a sure thing it will happen. It is certain it will happen.

A probability of 50% or 0.5 or 1/2 means it is as likely to happen as it is not to happen.

A probability of between 0 and 0.5 is more likely not to happen than to happen.

A probability of between 0.5 and 1 is more likely to happen than to not happen.

Now let's look at each one of the probabilities in your problem.

1. 1/4

1/4 is the same as 0.25 which is between 0 and 0.5. It is more likely to not happen.

1. b. Unlikely

2. 0.0

0.0 will definitely not happen.

2. e. Impossible

3. 0.50

0.50 can just as easily happen or not happen.

3. d. Equally Likely

4. 100%

100% is the same as 1. A probability of 1 means an event that is certain to happen.

4. a. Certain

5. 75/100

75/100 is the same as 3/4 and 0.75; 0.75 is between 0.5 and 1, so it is more likely to happen than to not happen.

5. c. Likely

Approximately 28.81% of callers are on hold for at least 5.4 minutes.

The percentage of callers who are on hold for at least 5.4 minutes can be determined by calculating the z-score and finding the area under the normal curve to the right of that z-score.

First, we need to calculate the z-score for a caller who is on hold for 5.4 minutes:

z = (5.4 - 4.9) / 0.9 = 0.56

Next, we can use a standard normal distribution table or calculator to find the area under the curve to the right of the z-score. The area to the right of 0.56 is 0.2881.

Therefore, approximately 28.81% of callers are on hold for at least 5.4 minutes.

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The end behavior of the graph of f(x) is,

As x → ∞, f(x) → -∞, and as x → -∞, f(x) → -∞.

A data set is a collection of organized data. Data is a collection of information that has been obtained by observations, measurements, study, or analysis, as we are all aware. It could contain names, numbers, facts, and even straightforward descriptions of items. For our study, data can be arranged in the form of graphs, charts, or tables.

Given the data,

x           -5     -4     -3     -2      -1       0      1         2         3

f(x)         -6     -2     0       4      4       0     -2      -6      -10

the graph moves towards the negative side for negative values of x,

so from the data, we observed that,

if x tends to -∞ then f(x) will be -∞,

and the value of f(x) again moves towards the negative side for all positive values of x.

so  x tends to ∞ then f(x)  will again -∞.

Hence option D is correct.

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