Simplify
(3y)^2 x y^-1

Complete data:

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75 Part A How many dots should go above each data value in the line plot? Type a number in each box

Answer:

12.75 ___ 2 dots

13.0 ____ 3 dots

13.25 ___ 4 dots

13.5 ___ 3 dots

Step-by-step explanation:

Given the data :

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75

To know the Number of dots for each data value, we obtain the frequency of each data value ;

Length of Rose____ Frequency

12.75 _________:__ 2

13.0 ____________ 3

13.25 ___________ 4

13.5 ____________ 3

Answer:

I think you would be right.

To find the probability mass function (PMF) for the number of rolls required to observe both an even and odd number on a biased die, we need to consider the different possible sequences of rolls.

Let's assume the biased die has k faces, numbered 1 to k. We want to find the PMF for the number of rolls required to observe both an even and odd number.

To begin, let's consider the simplest case where the die has only two faces: 1 and 2. We can analyze all possible sequences of rolls until we observe both an even and odd number. The PMF in this case will have two values: 1 with a probability of 1/2 and 2 with a probability of 1/2.

For a die with more than two faces, the analysis becomes more complex. We can use a recursive approach to calculate the PMF. Let's denote the PMF as P(n), where n represents the number of rolls required. To calculate P(n), we consider the following cases:

1. If the first roll results in an even number, we need to calculate the probability of requiring n-1 additional rolls to observe both an even and odd number. This can be represented as P(n-1).

2. If the first roll results in an odd number, we need to calculate the probability of requiring n-1 additional rolls to observe both an even and odd number. This can also be represented as P(n-1).

3. If the first roll results in a number that has already been observed before, we need to calculate the probability of requiring n-1 additional rolls to observe both an even and odd number. Again, this can be represented as P(n-1).

By considering these cases and applying appropriate probabilities based on the bias of the die, we can recursively calculate the PMF for any given number of rolls required.

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The probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

b) To find the probability that exactly 4 children would draw the nickel too small, we can use the binomial probability formula. The formula is: P(X = k) = (nCk) * (p^k) * (q^(n-k)), where n is the number of trials, k is the number of successes, p is the probability of success, and q is the probability of failure.

In this case, n = 8 (as 8 children are chosen), k = 4 (as exactly 4 children drawing the nickel too small), p = 0.15 (as the probability of a child drawing the nickel too small), and q = 1 - p = 1 - 0.15 = 0.85.

So, the probability that exactly 4 children would draw the nickel too small is: P(X = 4) = (8C4) * (0.15^4) * (0.85^(8-4)).

c) To find the probability that at least one child would draw the nickel too small, we can use the complement rule. The probability of at least one success is equal to 1 minus the probability of no success.

The probability of no success (all children drawing the nickel of the right size) is given by: P(X = 0) = (8C0) * (0.15^0) * (0.85^8).

Therefore, the probability that at least one child would draw the nickel too small is: P(X ≥ 1) = 1 - P(X = 0).

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Step-by-step explanation:

let's think about it logically :

|x| can only be positive, from 0 to +infinity.

but the second part "- 4" will bring the result for small x values into the negative realm.

x = 0 gives us f(x) = -4.

x = 4 gives us f(x) = 0

x = -4 gives us f(x) = 0

so, if is the 3rd graph (bottom left).

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's use the Fundamental Counting Principle to solve this problem.

Number of Jerseys: 3  (blue, black, white)

Number of Shorts: 3  (blue, black, white)

Number of Socks: 3  (blue, black, white)

The total number of different uniforms can be picked is 3 x 3 x 3 = 27 uniforms.

Answer:

the domain of the function is all real numbers less than or equal to 0

Answer:

yes

Step-by-step explanation:

l,l,;,;,;,;l,;,;

Answer:

c

Step-by-step explanation:

step by step

Answer:

 less=−5

greater=−1

step by step:

/ 3

\begin{aligned} (x + 3)^2 - 4 &= 0 \\\\ (x+3)^2&=4 \\\\ \sqrt{(x+3)^2}&=\sqrt{4} \end{aligned}

(x+3)

2

−4

(x+3)

2

(x+3)

2

​

​

=0

=4

=

4

​

​

Hint #22 / 3

\begin{aligned} x+3&=\pm2 \\\\ x&=\pm2-3 \\ \phantom{(x + 3)^2 - 4}& \\ x=-5&\text{ or }x=-1 \end{aligned}

x+3

x

(x+3)

2

−4

x=−5

​

=±2

=±2−3

or x=−1

​

Hint #33 / 3

In conclusion,

\begin{aligned} \text{lesser }x &= -5 \\\\ \text{greater } x &= -1 \end{aligned}

lesser x

greater x

​

=−5

=−1

​

​

The solutions from least to greatest are lesser x = -2 and greater x = 2/3 for the equation (2x +4)(3x -2)=0

An equation is collection of two or more expressions with an Equal sign

The given equation is (2x +4)(3x -2)=0

To find the solutions, we set each factor equal to zero and solve for x

2x + 4 = 0

Subtract 4 from both sides

2x = -4

Divide both sides by 2

x = -2

Now 3x - 2 = 0

Add 2 on both sides

3x = 2

Divide both sides by 3

x = 2/3

Therefore, the solutions from least to greatest are lesser x = -2 and greater x = 2/3

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The sum of three consecutive number is 63, hence the number is 20.

An equation is an expression that shows the relationship between two numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.

Let x represent the number. The sum of three consecutive number is 63, hence:

x + (x + 1) + (x + 2) = 63

x = 20

The sum of three consecutive number is 63, hence the number is 20.

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The equation that represents the exponential function passing through the points (-2, 1) and (2, 16) is: y = 4(2)^x

To write the exponential equation that passes through the points (-2, 1) and (2, 16), we can use the general form of an exponential function:

y = ab^x

Where y is the dependent variable, x is the independent variable, a is the initial value or y-intercept, and b is the base of the exponential function.

Step 1: Determine the value of a.

To find the value of a, substitute the coordinates of one of the given points into the equation. Let's use (-2, 1):

1 = ab^(-2)

Step 2: Determine the value of b.

To find the value of b, substitute the coordinates of the other given point into the equation. Let's use (2, 16):

16 = ab^2

Step 3: Solve the system of equations.

We now have a system of two equations with two unknowns (a and b):

1 = ab^(-2)

16 = ab^2

We can solve this system of equations to find the values of a and b. To do this, divide the second equation by the first equation:

16 / 1 = (ab^2) / (ab^(-2))

16 = b^4

Taking the fourth root of both sides, we get:

b = ±2

Step 4: Substitute the value of b back into one of the original equations to solve for a.

Let's substitute b = 2 into the first equation:

1 = a(2)^(-2)

1 = a / 4

a = 4

Alternatively, if we had chosen b = -2, we would have obtained a = -4, and the equation would be:

y = -4(-2)^x

Both equations represent exponential functions that pass through the given points.

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Answer:

29719.2

Step-by-step explanation:

Answer:  

Slope-int form: y = mx + b

x/10 + y/1000 = 1

y/1000 = -x/10 + 1

y = 1000(-x/10 + 1)

y = -100x + 1000

Step-by-step explanation:

a. residual is much larger than the rest of the residual values.

In regression analysis, an outlier refers to an observation that significantly deviates from the expected pattern or trend of the data. Specifically, it is an observation whose residual (the difference between the observed value and the predicted value) is much larger than the residuals of the other observations.

Outliers can have a considerable impact on the regression model, affecting the estimated coefficients and overall model fit. It is important to identify and assess outliers to determine if they are influential or if they should be treated or removed to ensure the reliability and validity of the regression analysis.

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The solution of the inequality are n  ≤ -7 and n ≥ -12.

A compound inequality is an inequality that combines two simple inequalities.

Therefore, let's solve the compound inequality individually.

n + 2 ≤ −5 and  n + 6 ≥ −6

Hence,

n + 2 ≤ − 5

subtract 2 from both sides of the inequality

n + 2 - 2 ≤ − 5 - 2

n  ≤ -7

n + 6 ≥ −6

subtract 6 from both sides of the inequality

n + 6 ≥ −6

n + 6 - 6 ≥ −6 - 6

n ≥ -12

Therefore, n  ≤ -7 and n ≥ -12

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Answer:

sss and sas both work

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can see two congruent sides as per marks and one shared side which is congruent to itself

So the correct option is SSS

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Answer:

I think it's A, B, and B

Step-by-step explanation:

Pretty sure that irrational numbers are like square roots of things

Answer:

9.39

Step-by-step explanation:

\(\frac{C}{2\pi } =R\)

\(\frac{59}{6.28}\)= 9.39

Answer:

4050/9 = $450.00 each

1573/3 = $524.33 each

Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Answer:

We can see from the table that 1 km is exactly half way between 2 and 3 laps. So it will take 2.5 laps to run 1 km. So it takes Angel 5 minutes to run 1 km.

Step-by-step explanation:

Answer:

$43,264

Step-by-step explanation:

theres 52 weeks in a year so you just do $832 x 52

On Earth, a child weighing 30.5 kilograms would weigh 5 kilograms on the moon.

Given:

So, we have to take out 16.5% of 30.5 kilograms.

After rounding off, the weight becomes 5 kilograms.

Therefore, a child who weighs 30.5 kilograms on Earth would weigh 5 kilograms on the moon.

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Answer: The answer would be 8ft

Step-by-step explanation:

Answer:

\(\frac{4}{9}\)

Step-by-step explanation:

There are two of them, so we will divide the lawn area mowed by 2.

\(\frac{8}{9}/\frac{2}{1}= \frac{8}{9}*\frac{1}{2}=\frac{8*1}{9*2} =\frac{8}{18} =\frac{4}{9}\)

-> This also can be simplified with seeing that 8 / 2 = 4, so \(\frac{4}{9}\), but I wanted to show the whole mathematical process.