Please answer !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

Answer:

2

Step-by-step explanation:

3x>-12

3x/3>-12/3

x>-4

If Leyanna choose one marble at random, the chances that it is yellow is 4/9 that is 0.44.

Total number of marbles in bag are 9

There are 5 red marbles and 4 yellow marbles

Total number of marbles = 5 + 4 = 9.

Therefore total number of cases is 9

Since there are 4 yellow marbles, the number of favorable outcomes is 4.

So P ( a yellow marble) =Number of favorable cases/ Total number of cases

= 4/9

So probability of choosing a yellow marble is 4/9.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

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Answer:

has a slope of 5/2 and passes through the point (0,-2)

Step-by-step explanation:

I took the quiz and got it correct

The probability of tuning an engine in 20 minutes or less is 0.5

Given that the time it takes to completely tune an engine of an automobile follows an exponential distribution with a mean of 30 minutes.

Let X be the time taken to tune an engine, then X follows an exponential distribution with mean μ = 30 minutes.

The probability of tuning an engine in 20 minutes or less can be calculated as follows

P(X ≤ 20) = 1 - \(e^{-lambda*x}\)

where λ = 1/μ is the rate parameter.

So, substituting the values we get:

P(X ≤ 20) = 1 - \(e^{-20/30}\)

= 1 - \(e^{-0.6667}\)

Subtract the numbers

= 0.5

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The gradient of the chord PQ is 2h + 8

Let's first find the coordinates of points P and Q on the curve y = 2x^2+1.

Point P has an abscissa of 2, so its coordinates are (2, 2(2)^2+1) = (2, 9).

Point Q has an abscissa of 2+h, so its coordinates are (2+h, 2(2+h)^2+1) = (2+h, 2(4+4h+h^2)+1) = (2+h, 8+8h+2h^2+1) = (2+h, 2h^2+8h+9).

The gradient of the chord PQ is given by:

(m) = Δy /Δx

(m) = (2h^2+8h+9 - 9) / (2+h - 2)

(m) = (2h^2+8h) / (h)

(m) = 2h + 8

As h approaches zero, the gradient of the chord PQ approaches 8, because the term 2h becomes negligible compared to 8 when h is small. Therefore, the gradient of the tangent to the curve at point P is 8.

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Answer:

184/4

Step-by-step explanation:

A rational number is a number in the form p/q where the numerator and denominator (p and q) are both integers but the denominator q is not equal to zero (q ≠ 0)

An integer is a whole number (not fractional) that is either positive, negative or zero.

From the question:

-144 is an integer because it is a negative whole number. Also -144 can be represented as -144 / 1, hence it is a rational number

√218/12 is neither a rational number or integer

184/4 is not an integer because it is not a whole number. 184/4 is a rational number

99 is an integer because it is a positive whole number. Also 99 can be represented as 99 / 1, hence it is a rational number

Answer:

X=30 Y=60 Z=90

Step-by-step explanation:

When you dilate the triangle the angles don’t change and they are similar triangles so you just follow the order QRS the X would have the same angle as the Q, Y would have the same angle as R and Z would have the same angle as S.

Answer:

51 cm

Step-by-step explanation:

perimeter = 2 * length + 2 * width

226 = 2 * 62 + 2 * width

226 = 124 + 2 * width

226 - 124 = 2 * width

102  = 2 * width

102/2 = width

51 = width

Answer:

The x value of a is 5

Step-by-step explanation:

The directions right and left on the grid is equal to the x-axis while the directions up and down is equal to the y-axis

Answer:

5

Step-by-step explanation:

the answer is 5

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.

In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.

When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.

In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.

However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.

Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.

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ANSWER and EXPLANATION

a) To simplify the radical, we have to:

1) First, express the number inside the radical as a product of a perfect square and a number that is not a perfect square.

2) Next, we separate the numbers into two radicals and find the square root of the perfect square.

3) Finally, we find the product of the number and the remaining radical.

B) Following the steps above:

STEP 1

STEP 2

STEP 3

Answer:

160 cm i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

y - y₀ = m(x - x₀)      - point-slope form where m is the slope and the point is (x₀,y₀)

m = -1

(-2, 3)    ⇒    x₀ = -2,    y₀ = 3

y - 3 = -1(x - (- 2))

y - 3 = - (x + 2)

Answer:

A) (6,-4)

Step-by-step explanation:

The answer is (C) 0.054. 

Regularly a binomial probability issue, where we are captivated by the probability of getting five left-handers in a course of 93 understudies, given that the probability of an individual being left-handed is 0.15.

The condition for the binomial probability spread is:

P(X = k) = (n select k) * \(p^k * (1 - p)^(n - k)\)

where:

P(X = k) is the likelihood of getting k triumphs (in our case, k left-handers)

n is the general number of trials (in our case, the degree of the lesson, 93)

p is the probability of triumph on each trial (in our case, the probability of an individual being left-handed, 0.15)

(n select k) is the binomial coefficient, which speaks to the number of ways of choosing k objects from a set of n objects.

Utilizing this condition, able to calculate the probability of finding five left-handers in a lesson of 93 understudies:

P(X = 5) = (93 select 5) * \(0.15^5 * (1 - 0.15)^(93 - 5)\)

P(X = 5) = 0.054

Consequently, the answer is (C) 0.054. 

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Answer:

the answer is segment AE

The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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The expression for r in terms of R is: r = (1-R²) / R²

In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 multiplied by itself gives 9:

3 x 3 = 9

The square root symbol is √, and the number under the symbol is called the radicand. So, √9 is read as "the square root of 9."

Starting with the given equation:

R = √(r-1) / √(r+1)

Let's first clear the square roots by squaring both sides:

R² = (r-1) / (r+1)

Now, let's multiply both sides by (r+1) to eliminate the denominator on the right-hand side:

R²(r+1) = r-1

Expanding the left-hand side:

R²r + R² = r-1

Subtracting R²r from both sides:

R² - R²r = -1

Factoring out R² on the left-hand side:

R²(1-r) = -1

Dividing both sides by (1-r):

R² = -1 / (1-r)

Finally, we can take the square root of both sides and multiply by -1 to isolate r:

r = -1 / R² + 1

Therefore, the expression for r in terms of R is:

r = (1-R²) / R²

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Make r the subject of the following:

R= √(r-1) / √(r+1)

The expected value of the sum of n dice is E[X] = 3.5n.

Indicator random variables are a probability theory tool. They are used to help evaluate probabilities for a given random variable.
Let X be the total number that results from n throws of a fair six-sided die.

By linearity of expectation,E[X] = E[X1 + X2 + ... + Xn] = E[X1] + E[X2] + ... + E[Xn]

Where Xj is the number obtained on the jth die roll.

Each Xi is a discrete random variable with a uniform distribution on the set {1, 2, 3, 4, 5, 6}.

To evaluate E[Xi], we define an indicator random variable Yi as follows: Yi = 1 if Xi = i and Yi = 0 otherwise.

Then, Xi = 1Y1 + 2Y2 + 3Y3 + 4Y4 + 5Y5 + 6Y6.

Thus,E[Xi] = E[1Y1 + 2Y2 + 3Y3 + 4Y4 + 5Y5 + 6Y6] = E[1Y1] + E[2Y2] + ... + E[6Y6] = 1P(Xi = 1) + 2P(Xi = 2) + ... + 6P(Xi = 6) = (1 + 2 + ... + 6) / 6 = 3.5.

Therefore, E[X] = E[X1] + E[X2] + ... + E[Xn] = 3.5n.

Thus, we have computed the expected value of the sum of n dice using indicator random variables. The expected value of the sum of n dice is E[X] = 3.5n.

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Answer:

Step-by-step explanation:

p=x(1-15/100)

p=x(100-15)/100

p=x(85/100)

p=0.85x

The probability of getting 2 socks of the same color isP(two socks of same color) = P(2 blue socks) + P(2 white socks) + P(2 gray socks)= 28/153 + 28/153 + 1/153= 57/153 = 19/51. Hence, the required probability is 19/51.

The probability of getting 2 socks of the same color is given by P(two socks of same color) = P(2 blue socks) + P(2 white socks) + P(2 gray socks).Given, There are 8 blue socks. There are 8 white socks. There are 2 gray socks. Now, we will find the probability of getting 2 blue socks: Probability of selecting one blue sock from 8 blue socks is 8/18.

Probability of selecting another blue sock from 7 blue socks is 7/17.Probability of getting 2 blue socks is P(2 blue socks) = 8/18 * 7/17 = 28/153. Now, we will find the probability of getting 2 white socks: Probability of selecting one white sock from 8 white socks is 8/18.Probability of selecting another white sock from 7 white socks is 7/17.Probability of getting 2 white socks is P(2 white socks) = 8/18 * 7/17 = 28/153.

Now, we will find the probability of getting 2 gray socks: Probability of selecting one gray sock from 2 gray socks is 2/18.Probability of selecting another gray sock from 1 gray sock is 1/17.Probability of getting 2 gray socks is P(2 gray socks) = 2/18 * 1/17 = 1/153.

Therefore,The probability of getting 2 socks of the same color isP(two socks of same color) = P(2 blue socks) + P(2 white socks) + P(2 gray socks)= 28/153 + 28/153 + 1/153= 57/153 = 19/51. Hence, the required probability is 19/51.

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The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

Here the population P of a small town, measured in hundreds, is modeled by the inverse of the function,P−1(t) = 20ln(40t − 1200)

where t is measured in years.

We need to find an equation to model the population.

let y = \(p^{-1}\)(t)

where t is measured in years.

We need to find an equation to model the population.

20\(ln\)(40y - 1200) = t

\(ln\)(40y - 1200) = t/20

\(e^{ln(40y - 1200)}\) = \(e^{0.05t}\)

(40y - 1200) = \(e^{0.05t}\)

40y = \(e^{0.05t}\) + 1200

y = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

Now, we determine the initial value.

P(0) = \(\frac{1}{40}\) + 30

P(0) = 30

The equation to model the population is P = \(\frac{1}{40}\) \(e^{0.05t}\) + 30

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a) The range is 14.

b) The sample variance is 20.78.

c) The sample standard deviation is 4.56.

a) Range

The range of a given set of data values is the difference between the maximum and minimum values in the set. In this case, the maximum value is 15 and the minimum value is 1. So, the range is:

Range = maximum value - minimum value

Range = 15 - 1

Range = 14

b) Sample variance

To calculate the sample variance, follow these steps:

1. Calculate the sample mean (X). To do this, add up all of the data values and divide by the total number of values:

n = 9

∑x = 7 + 4 + 6 + 12 + 8 + 15 + 1 + 9 + 13 = 75

X = ∑x/n = 75/9 = 8.33

2. Subtract the sample mean from each data value, square the result, and add up all of the squares:

(7 - 8.33)² + (4 - 8.33)² + (6 - 8.33)² + (12 - 8.33)² + (8 - 8.33)² + (15 - 8.33)² + (1 - 8.33)² + (9 - 8.33)² + (13 - 8.33)² = 166.23

3. Divide the sum of squares by one less than the total number of values to get the sample variance:

s² = ∑(x - X)²/(n - 1) = 166.23/8 = 20.78

Therefore, the sample variance is 20.78 (rounded to two decimal places).

c) Sample standard deviation

To calculate the sample standard deviation, take the square root of the sample variance:

s = √s² = √20.78 = 4.56

Therefore, the sample standard deviation is 4.56 (rounded to two decimal places).

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Answer:

Multiplication

Amount Tom earns per hour = $7

Step-by-step explanation:

Amount Jeff earns per hour = $14

Amount Tom earns per hour = 1/2 × $14

Note: 1/2 = 0.5

Amount Tom earns per hour = 1/2

× $14

= 0.5 × $14

= $7

Amount Tom earns per hour = $7

Answer:

bc=ad

Step-by-step explanation:

Answer:

Step-by-step explanation:

To prove this statement, we can use the contrapositive. The contrapositive of the statement "If a + b > 100, then a, b, or both must be greater than 50" is "If a and b are both less than or equal to 50, then a + b is less than or equal to 100."

To prove the contrapositive, we must show that if a and b are both less than or equal to 50, then a + b is indeed less than or equal to 100. This is easy to do, because if a and b are both less than or equal to 50, then the largest possible value for a is 50 and the largest possible value for b is 50. Therefore, the largest possible value for a + b is 50 + 50, which is equal to 100.

Since the contrapositive is true, it follows that the original statement must also be true. Therefore, we have proven that if a + b > 100, then a, b, or both must be greater than 50.

false :) thats ur answer

Answer: it is called the slope intercept

Answer: Slope-intercept form

Step-by-step explanation:

      The equation format of y = mx + b is slope-intercept.

-> m is the slope, or the steepness of the line

-> b is the y-intercept, or where the line intersects the y-axis.