Last year a community had 32 incidents of vandalism.
​
​This year they only had 23 incidents of vandalism.
​

Answer:

Your answer would be (x-4)

Step-by-step explanation:

If you follow the steps of factoring, first you need to set it up. I always start with the term with the variable first.

(x+_)(x+_)

And since we already know one of the factors, we can put that in our expression.

(x+6)(x+_)

Now remember the trick FOIL.

You multiply the FIRSTS together, then the OUTSIDES, then the INSIDES, and finally the LASTS.

To figure out our last blank we us this trick, but backwards. To get the 24 at the end of your expression x^2+2x-24 you multiply the LASTS together. So 6*_=-24. (remember the subtraction sign stays as a negative with the 24) That answer is -4

Hope that makes sense, and good luck!

There is no definitive answer to whether the variables have positive correlation, negative correlation, or no correlation.

What is a negative correlation?

A negative correlation is a relationship between two variables in which they move in opposite directions. This means that when one variable increases then the other variable decreases. In statistical terms, a negative correlation is indicated by a negative correlation coefficient, which measures the strength and direction of the relationship between two variables.

Now,

The correlation between the number of doctors on staff at a hospital and the number of administrators on staff can vary depending on the specific circumstances of the hospital.

In general, one might expect that as the number of doctors on staff increases, the demand for administrative support may also increase. In this case, we would expect a positive correlation between the number of doctors and administrators.

On the other hand, if the hospital is focused on reducing costs and improving efficiency, it may choose to reduce administrative staff while maintaining the same number of doctors. In this case, we would expect a negative correlation between the number of doctors and administrators.

Therefore, there is no definitive answer to whether the variables have positive correlation, negative correlation, or no correlation, as it depends on the specific context and factors influencing the hospital's staffing decisions.

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After the 6-for-1 stock split, the stock price will be $16.41 per share, assuming no market imperfections or tax effects.

A stock split is a process in which a company increases the number of shares outstanding while proportionally reducing the price per share. In this case, the company plans a 6-for-1 stock split, which means that for every existing share, shareholders will receive six new shares.

To determine the post-split stock price, we divide the original stock price by the split ratio. The original stock price is $98.48, and the split ratio is 6-for-1. Therefore, we calculate:

$98.48 / 6 = $16.41

Hence, after the 6-for-1 stock split, the stock price will be $16.41 per share. This means that each shareholder will now hold six times more shares, but the value of their investment remains the same.

It is important to note that in practice, market imperfections, investor sentiment, and other factors can influence the stock price after a split. However, assuming no market imperfections or tax effects, the calculated value of $16.41 represents the theoretical post-split stock price.

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Answer: 63 ≠ 0

Step-by-step explanation:

the answer to this questiom is: b

Answer:wow cap.

Step-by-step explanation:

Given the following inequality:

To solve it, you need to solve for "a" by applying the Subtraction property of Inequalities and subtract 18 from both sides, as you can see below:

To graph it on a number line we must put a dot or a circle where -11 is.

Since the symbol of the inequality is <, the dot or the circle must be unfilled and the line must go from -11 to the left (because it is the direction of the numbers that make the given inequality true).

Then, you get:

Answer:

45.83

Step-by-step explanation:

AND is where the decimal goes

Answer:

45.83

Step-by-step explanation:

forty-five=45

eighty-three hundredths=0.83 (2 places to right from zero)

Answer:

y=11

Step-by-step explanation:

y=3x-1

y=3(4)-1

y= 12-1

y=11

Answer:

2x²-3x-5

=2x²-3x-5

=2x²-5x+2x-5

=2x(x-5)+2(x-5)

=(x-5)(2x+2)

Answer:

(x + 1)(2x - 5)

Step-by-step explanation:

Assuming you require the expression factorised.

2x² - 3x - 5

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × - 5 = - 10 and sum = - 3

The factors are + 2 and - 5

Use these factors to split the x- term

2x² + 2x - 5x - 5 ( factor the first/second and third/fourth terms )

= 2x(x + 1) - 5(x + 1) ← factor out (x + 1) from each term

= (x + 1)(2x - 5) ← in factored form

Answer:

addition

Step-by-step explanation:

if you add the 4 to the -2 you will get x=2 therefore isolating the variable

Answer:

Shai received $192 while Mara received $288.

Step-by-step explanation:

Let u be 1 unit.

5u=$160

u=$160÷5

=$32

6u=$32×6

=$192

9u=$32×9

=$288

Answer:

Step-by-step explanation

….

Answer: 0.9

Step-by-step explanation:

Paul earned a total of $1,368 during his summer vacation. To calculate how much money Paul earned during his summer vacation, we need to determine his hourly rate and the total number of hours he worked.

Given that Paul earned $8.55 per hour and worked 20 hours per week for 8 weeks, we can calculate his total earnings.

First, let's find the total number of hours Paul worked:

20 hours/week * 8 weeks = 160 hours.

Next, we multiply the total number of hours by his hourly rate to find his total earnings:

160 hours * $8.55/hour = $1,368.

Therefore, Paul earned a total of $1,368 during his summer vacation.

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The IQR of 13 is the most accurate measure of variability to represent the data, as it provides a more accurate representation of the typical donations received by the charity.

The range is the difference between the highest and lowest values in a dataset.

In this case, the range is,

⇒ 49 - 10 = 39.

However, the range is sensitive to outliers, which can skew the data and make it less representative of the typical donations received.

The IQR is a measure of variability that is less sensitive to outliers than the range.

It is the difference between the third quartile (Q3) and the first quartile (Q1) of the dataset.

In this case, Q1 = 42

and Q3 = 49,

so the IQR is ,

IQR = 49 - 42

IQR = 7.

The IQR represents the middle 50% of the data and is a good measure of the spread of the typical donations received by the charity.

Therefore, the IQR of 13 is the most accurate measure of variability to represent the data, as it provides a more accurate representation of the typical donations received by the charity.

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Complete question is,

A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data. 10, 11, 35, 39, 40, 42, 42, 45, 49, 49, 51, 51, 52, 53, 53, 54, 56, 59

Which measure of variability should the charity use to accurately represent the data? Explain your answer.

A: The range of 13 is most accyrate to use since the data is skewed

B: The IQR of 49 is most accurate to use to show that they need more money.

C:The range of 49 is the most accurate to use to show that they have plenty of money

D: The IQR of 13 is the most accurate to use since the data is skewed​

The domain of the points (3, 2) and (-5, 2) are all real numbers.

The Range of the points (3, 2) and (-5, 2) is only the value of y = 2.

What is the domain and range of the function?

The domain of a function is the set of all input values (independent variable) for which the function is defined and produces a valid output (dependent variable). The range of a function is the set of all possible output values (dependent variable) that the function can produce for all valid input values (independent variable).

The domain and range of a set of points in a coordinate plane refer to the set of all possible x-values and y-values, respectively.

The domain of the points (3, 2) and (-5, 2) are all real numbers. So, the domain can be represented as (-inf, inf)

The range of the points (3, 2) and (-5, 2) is only the value of y = 2. So, the range can be represented as {2}

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we need to buy at least 694 tickets to have a probability of winning at least 50%.

We can use the binomial distribution formula to solve this problem. Let X be the number of tickets we need to buy to have a probability of winning at least 50%. Then:

P(X ≥ 1) ≥ 0.5

This means that the probability of winning with at least one ticket is at least 50%. We can find this probability using the complement rule:

P(X ≥ 1) = 1 - P(X = 0)

The probability of not winning with any ticket is:

P(X = 0) = (999/1000)^n

where n is the number of tickets we buy. Therefore:

1 - (999/1000)^n ≥ 0.5

Simplifying this inequality, we get:

(999/1000)^n ≤ 0.5

Taking the logarithm of both sides, we get:

n log(999/1000) ≤ log(0.5)

n ≥ log(0.5) / log(999/1000)

n ≥ 693.15

Therefore, we need to buy at least 694 tickets to have a probability of winning at least 50%.

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Answer:

$7

Step-by-step explanation:

100-16=84

84/12=7

Hope this helped

Answer:

i think its 2/3

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

18/24=0.75

Answer:

75%

Step-by-step explanation:

24 divided by 4 is 6, so 25% of 24 is 6. 18 divided by 6 is 3, so 18 out of 24 is 75%.

The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)

Part b.

Consider V(3X + 2Y)

\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

\(3 X+2 Y \sim N(18,77)\)

Thus,

\(P(3 X+2 Y < 18)=0.5\)

Part d.

Consider P(3X + 2Y < 28)

\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)

\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)

Therefore, the values for the given normal random variables are found.

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The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

Answer:

90 dollars or euros whatever its called

9514 1404 393

Answer:

  base: 4 units; height: 3 units

Step-by-step explanation:

It is easy enough to count the grid squares to see how many units long each side is. Similarly, the distance from the point to the base can be counted on the graph.

The square pyramid has a base that is 4 units on each side. The height of each triangular face is 3 units.

\(\huge\purple{hi!}\)

3.991 nearest one hundred is 3.99

The answer wood be 3.99

Since 1 is closer to 0 you round down and it is 3.99

Answer:

the picture isn't whole, but what I see is a cylinder.

Step-by-step explanation:

The pythagorean triple is at least one of the legs of a Pythagorean triple must be even.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

We are given that;

(2 y2)2 + (2xy)2 = (x² + y2)2

1. Let's choose 2 and 5 as our two numbers, and let 2 replace y, while 5 replaces x. Substituting these values into the Pythagorean identity, we get:

(2y)² + (2xy)² = (x² + y²)²

⇒ (2(2))² + (2(5)(2))² = (5² + 2²)²

⇒ 4² + 20² = 29²

2. We chose the number 2 to replace y because we want to create a Pythagorean triple, which means we need to find values of x, y, and z (the hypotenuse) that satisfy the Pythagorean theorem, a² + b² = c². In this case, since we chose 2 as y, we can think of this as the length of one of the legs of a right triangle, and we want to find values of x and z that make this true.

3. To find a Pythagorean triple using these numbers, we just need to set x = 5 and z = 29 (which we obtained from the Pythagorean identity). Then we have:

a = 2, b = 5, c = 29

and we can verify that this is a Pythagorean triple by checking that a² + b² = c²:

2² + 5² = 4 + 25 = 29 = 29²

4. At least one leg of the triangle that the Pythagorean triple represents must have an even-numbered length because in any Pythagorean triple, one of the legs must be even.  If a and b are both even, then their sum (c) will also be even. Therefore, at least one of the legs of a Pythagorean triple must be even. In our example, we chose 2 to be the even number, and indeed, it is the length of one of the legs of the right triangle represented by the Pythagorean triple.

Therefore, by pythagoras theorem the answer will be at least one of the legs of a Pythagorean triple must be even.

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inFinite many solutions

Answer:4

Step-by-step explanation: y=mx+b is the slope intercept form of an equation. m is the slope and b is the y-intercept. just substitute 4 for m and 2 for b and get the original equation y = 4x + 2. since 4 is m, then 4 is the slope.

Answer:

y= 4(x-5) 2

Step-by-step explanation:

It seems counterintuitive, but to shift a parabola, you have to subtract five from x. To shift to the left, you would simply add five to x instead of subtract.

The exponential function f (t) = e is a mathematical function that describes a relationship between a number and its power.

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Answer:

x=−1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(2−3x)=3(3+x)+4

(2)(2)+(2)(−3x)=(3)(3)+(3)(x)+4(Distribute)

4+−6x=9+3x+4

−6x+4=(3x)+(9+4)(Combine Like Terms)

−6x+4=3x+13

−6x+4=3x+13

Step 2: Subtract 3x from both sides.

−6x+4−3x=3x+13−3x

−9x+4=13

Step 3: Subtract 4 from both sides.

−9x+4−4=13−4

−9x=9

Step 4: Divide both sides by -9.

−9x /−9  =  9 /−9

x=−1