Which function passes through the points (2, 3) and (4, 4)?
Options are shown in the pic
*WILL MARK BRAINLIEST* - 20 POINTS

The calculated value of sin of the angle is 1/2√3

From the question, we have the following parameters that can be used in our computation:

cos(θ) = 5/10

The value of sin of the angle is calculated as

sin(θ) = √[1 - cos²(θ)]

Substitute the known values in the above equation, so, we have the following representation

sin(θ) = √[1 - (5/10)²]

Evaluate the difference

So, we have the following representation

sin(θ) = √[3/4]

So, we have

sin(θ) = 1/2√3

Hence, the value of sin of the angle is 1/2√3

Read more about trigonometry function at

brainly.com/question/24349828

#SPJ1

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model. The optimal number of notebooks to make in each order is 590 units. The annual ordering cost (AOC) is approximately $892.20. The Annual Holding Cost (AHC) is $3540. The annual product cost (APC) is $233,460. The annual total cost of managing inventory (ATC) is approximately $237,892.20. The total number of orders in the year (N) is 33. The estimated time between each order (T) is approximately 7.58 days. The daily demand is approximately 77.82 units. The reorder point (ROP) is approximately 311 units.

The inventory management model that should be used to solve this problem is the Model Economic Quantity to Order (EOQ) model.

To find the optimal number of notebooks to make in each order, we can use the EOQ formula:

EOQ = √[(2 * Demand * Ordering Cost) / Holding Cost]

EOQ = √[(2 * 19455 * 27) / 6]

EOQ ≈ 589.96

Since the number of notebooks must be a whole number, the optimal number to order would be 590 notebooks.

The annual ordering cost (AOC) can be calculated by dividing the annual demand by the EOQ and multiplying it by the ordering cost:

AOC = (Demand / EOQ) * Ordering Cost

AOC = (19455 / 590) * 27

AOC ≈ $892.20

The Annual Holding Cost (AHC) is calculated by multiplying the EOQ by the holding cost per unit:

AHC = EOQ * Holding Cost

AHC = 590 * 6

AHC = $3540

The annual product cost (APC) is calculated by multiplying the annual demand by the cost per unit:

APC = Demand * Cost per unit

APC = 19455 * 12

APC = $233,460

The annual total cost of managing inventory (ATC) is the sum of the annual ordering cost, annual holding cost, and annual product cost:

ATC = AOC + AHC + APC

ATC = 892.20 + 3540 + 233460

ATC ≈ $237,892.20

The total number of orders in the year (N) can be calculated by dividing the annual demand by the EOQ:

N = Demand / EOQ

N = 19455 / 590

N ≈ 33

The estimated time between each order (T) can be calculated by dividing the number of working days in a year by the total number of orders:

T = Number of working days / N

T = 250 / 33

T ≈ 7.58 days

The daily demand is calculated by dividing the annual demand by the number of working days in a year:

Daily Demand = Demand / Number of working days

Daily Demand = 19455 / 250

Daily Demand ≈ 77.82 units/day

The reorder point (ROP) is the number of units at which a new order should be placed. It can be calculated by multiplying the daily demand by the lead time (time taken for the supplier to deliver the order):

ROP = Daily Demand * Lead Time

ROP = 77.82 * 4

ROP ≈ 311.28 units

Therefore, the reorder point would be approximately 311 units.

To know more about Model Economic Quantity,

https://brainly.com/question/29489377

#SPJ11

Answer:its b

Step-by-step explanation:

Given

France won more gold medals than Italy and Italy won more gold medals than Korea.

total number of gold medals won by these three countries is three consecutive integers whose sum is 33

Find

number of gold numbers won by each.

Explanation

Let smaller number be x

so , three consecutive numbers are x , x + 1 , x + 2

according to the question ,

so , x = 10

x + 1 = 10 + 1 = 11

x + 2 = 10 + 2 = 12

Final Answer

Therefore ,

the number of golds won by korea = 10

the number of golds won by Italy = 11

the number of golds won by France = 12

Step 1 of 2: To estimate the proportion of people who were caught after being on the 10 Most Wanted List, you need to divide the number of people captured (701) by the total number of suspected criminals in the sample (1753).
\(701 ÷ 1753 ≈ 0.400\) (rounded to three decimal places)
So, the estimated proportion is approximately 0.400 or 40.0%.
Step 2 of 2: To construct the 99% confidence interval for the population proportion, we need to use the following formula:
\(CI = p ± Z * √(p * (1 - p) ÷ n)\)
Where CI represents the confidence interval, p is the estimated proportion (0.400), Z is the Z-score for a 99% confidence level (2.576), and n is the sample size (1753).
First, calculate the standard error:
SE = \(√(0.400 * (1 - 0.400) ÷ 1753) ≈ 0.011\)
Next, multiply the Z-score by the standard error:
2.576 * 0.011 ≈ 0.028
Finally, add and subtract this value from the estimated proportion:
\(0.400 - 0.028 = 0.372\) (rounded to three decimal places)
0.400 + 0.028 = 0.428 (rounded to three decimal places)
The 99% confidence interval for the population proportion is approximately (0.372, 0.428).

for such more questions on confidence interval

https://brainly.com/question/15712887

#SPJ11

Answer:

A, B, D, E

Step-by-step explanation:

Given expression:

When multiplying decimals, multiply as if there are no decimal points:

\(\implies 6 \times 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 5 digits.

Put the same number of total digits after the decimal point in the product:

\(\implies (0.06) \cdot (0.154)=0.00924\)

-----------------------------------------------------------------------------------------------

Answer option A

\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)

When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.

Therefore:

\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)

Therefore, this is a valid answer option.

Answer option B

\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)

Multiply the numbers 6 and 154:

\(\implies 6 \times 154 = 924\)

Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).

\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)

Therefore, this is a valid answer option.

Answer option C

\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)

Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:

\(\implies 6 \cdot 154 = 924\)

Count the number of digits after the decimal in each factor:

Therefore, there is a total of 3 digits.

Put the same number of digits after the decimal point in the product:

\(\implies 0.924\)

Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.

Answer option D

\(\boxed{6 \cdot 154 \cdot (0.00001)}\)

Again, employing the technique of multiplying decimals.

As there are a total of 5 digits after the decimals:

\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)

Therefore, this is a valid answer option.

Answer option E

\(\boxed{0.00924}\)

As we have already calculated, (0.06) · (0.154) = 0.00924.

Therefore, this is a valid answer option.

Answer:

5%

Step-by-step explanation:

10/200 × 100 = 5

hope this helps...

Answer:

40°

Step-by-step explanation:

Base length, b = adjacent = 3020 feets

Height of building, h = opposite = 2534 feets

The angle of elevation formed :

Using the trigonometry relation:

Tan θ = opposite / Adjacent

Tan θ = 2534 / 3020

Tan θ = 0.8390728

θ = tan^-1(0.8390728)

θ = 39.999

= 40°

Answer: 14 degree decrease

Step-by-step explanation:

8-14= -6

The power series of a differential equation with y(x) as the sum of a power series that is,

\(y(x) = ∑_(n=0)^∞▒〖a_n(x-c)^n 〗\)

The radius of convergence of the series is infinity.

The series solution in terms of familiar elementary functions is given by,\(y(x) = 3 x^(7/2)/(√14)\)

This equation has the initial condition y(1) = 3.

Substituting the power series into the differential equation and solving for the coefficient of each power of (x - 1) provides a recursive formula that we can use to determine each coefficient of the power series representation.

2(x - 1)y' = 7y ⇒ y' = 7y/2(x - 1)

Taking the first derivative of the power series, we get,\(y'(x) = ∑_(n=1)^∞▒〖na_n(x-c)^(n-1) 〗\)

Using this, the above differential equation becomes\(,∑_(n=1)^∞▒〖na_n(x-c)^(n-1) 〗 = 7/2\)

\(∑_(n=0)^∞▒a_n(x-c)^n⁡〖- 7/2 ∑_(n=0)^∞▒a_n(x-c)^n⁡〗⇒ ∑_(n=1)^∞▒〖na_n(x-c)^(n-1) 〗= ∑_(n=0)^∞▒〖(7/2 a_n - 7/2 a_(n-1)) (x-c)^n〗\)

Since the two power series are equal, the coefficients of each power of (x - 1) must also be equal.

Therefore,\(∑_(k=0)^n▒〖k a_k (x-c)^(k-1) 〗= (7/2 a_n - 7/2 a_(n-1))\)

The first few terms of the series for the power series solution y(x) is given by,

\(y(x) = 3 + 21/4 (x - 1) + 73/32 (x - 1)^2 + 301/384 (x - 1)^3,\) to the order of 3.

To know more about differential equation visit:

https://brainly.com/question/32645495

#SPJ11

Answer:

7

Step-by-step explanation:

2l + 2w = 16

2 (l + w) = 16

l + w = 8

l = 8 - w

l = 7

Answer:

Step-by-step explanation:

-31

Answer:

-31

Step-by-step explanation:

just enter -5 into x and solve

The best description about the sampling distribution of means for the student's sample is mu x = 45, sigma x = 3.75, shape of distribution unknown.

Sampling distribution is defined as the probability distribution of a statistical measure which is got by the repeated sampling of a specific population.

Given that,

μ = 45 minutes and σ = 15 minutes

Sampling distribution of means for the student's sample is :

μₓ = μ = 45

σₓ = σ / √n, where n is the sample size.

σₓ = 15 / √(16) = 15 / 4 = 3.75

Now since the sample size 16 which is less than 30, shape of the distribution is unknown.

Hence the sampling distribution is, μₓ = 45, σₓ = 3.75, and the shape of distribution is unknown.

Learn more about Sampling Distribution here :

https://brainly.com/question/14390195

#SPJ1

Answer:

because if you substitute 0.5 for x you get zero as a result

Step-by-step explanation:

ABCD IS A KITE. (4x-2)cm A B AB= (4x-2) cm Jasper says that x could be 0.5 (a) Explain why Jasper cannot be correct.​

I answer for what I understand, the question is not clear

because if you substitute 0.5 for x you get zero as a result

(4x - 2) =

4 × 0.5 - 2 =

2 - 2 = 0

The sample size n is fixed, and k can vary from 0 to n. Thus, the probability distribution function of the sample depends on the parameter p and the sample size n.

Let's denote the random sample as y1, y2, ..., yn, where each yi represents the outcome of a Bernoulli trial with a parameter p. In a Bernoulli distribution, each trial can result in one of two possible outcomes, typically labeled as "success" or "failure," with probabilities p and 1-p, respectively.

To find the probability distribution function (pdf) of this random sample, we can express it as a product of individual probabilities for each observation. Since each yi follows a Bernoulli distribution, the probability of observing a success (yi = 1) is p, and the probability of observing a failure (yi = 0) is 1-p.

The probability of the entire sample y1, y2, ..., yn can be calculated as the joint probability of each observation, assuming independence:

P(y1, y2, ..., yn) = P(y1) * P(y2) * ... * P(yn) = p^k * (1-p)^(n-k)

where k is the number of successes in the sample (the number of yi's equal to 1) and n-k is the number of failures (the number of yi's equal to 0).

Know more about probability distribution function here:

https://brainly.com/question/30881334

#SPJ11

a) The average slope or rate of change between (0, 1) and (2, 4) is 3/2.

b) The average slope or rate of change between (-2, 1/4) and (-1, 1/2) is 1/4.

c) The slope or rate of change is not constant between these two pairs of points, since the average slopes are different.

d) The function connecting these pairs of points is not a linear function.

The average slope or rate of change between two points (x1, y1) and (x2, y2) on a line is given by

average slope = (y2 - y1) / (x2 - x1)

For the points (0, 1) and (2, 4), the average slope is

average slope = (4 - 1) / (2 - 0) = 3/2

For the points (-2, 1/4) and (-1, 1/2), the average slope is

average slope = (1/2 - 1/4) / (-1 - (-2)) = 1/4

The slope or rate of change is not constant between these two pairs of points, since the average slopes are different. Therefore, the function connecting these pairs of points is not a linear function.

Note that a linear function has a constant slope, so if the slope is changing, then the function cannot be linear.

Learn more about slope here

brainly.com/question/29186745

#SPJ4

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

To know more about primate,

https://brainly.com/question/30667610

#SPJ11

To plot the function f(x) = -4x^2 + sin(5x) and its derivative, and to save the results in a file named "results.txt" with 2 decimal places.

You can use the following MATLAB code:

```matlab

x = -10:0.5:10; % Generate x values

f = -4*x.^2 + sin(5*x); % Calculate f(x)

df_dx = -8*x + 5*pi*cos(5*x); % Calculate the derivative

% Saving results to file

output = [x', f', df_dx'];

dlmwrite('results.txt', output, 'delimiter', '\t', 'precision', '%.2f');

1. First, we define the range of x values using the vector `-10:0.5:10` to cover the desired interval with a step size of 0.5.

2. Next, we calculate the values of f(x) and its derivative using the defined mathematical expressions.

3. We then plot the function and its derivative using the `plot` function. The red dashed line represents f(x), and the blue solid line represents its derivative.

4. To save the results, we create a matrix `output` that concatenates the x values, f(x), and the derivative column-wise.

Learn more about decimal places here: brainly.com/question/20563248

#SPJ11

The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

The cost function and demand function of a monopolist can be found in the question. These can be used to derive the marginal revenue and marginal cost.

The optimal level of output and profit can be derived using the marginal revenue and marginal cost equations. After that, you can confirm that the demand is elastic at the optimal output.

After that, you need to calculate the markup and the DWL associated with the monopoly output. Finally, you need to find the new optimal output and determine if the DWL increases or decreases.

Given:Cost Function C(Q) = ¼ Q2 Marginal cost MC(Q) = ½ Q Demand P = 100 – ¼ Q. a.

Sketch the market demand, marginal costs, and marginal revenues.

Market demand:Marginal cost:Marginal revenue: b. What is the monopolist’s optimal level of output and profits?In the monopolistic market, the optimal level of output and profits are given by the condition that Marginal Revenue = Marginal Cost.

Marginal Revenue is the derivative of Total Revenue with respect to Quantity, which can be found by using the demand equation and solving for Q:TR(Q) = P × Q = (100 – ¼ Q)Q = 100Q – ¼ Q2MR(Q) = dTR(Q)/dQ = 100 – ½ QMarginal Cost is given by the question as MC(Q) = ½ Q.

The monopolist's optimal level of output and profits can be found by equating MR and MC:100 – ½ Q = ½ Q => Q = 66.67 units of outputWhen Q = 66.67, the price is given by the demand equation:P = 100 – ¼ Q => P = 83.33.

Therefore, the monopolist's optimal output is 66.67 and optimal profits are (P – MC) × Q = (83.33 – 33.33) × 66.67 = $2,000.

Confirm that demand is elastic at the optimal output.The demand is elastic at the optimal output if the absolute value of the price elasticity of demand is greater than one.

The price elasticity of demand is given by:Ed = (% Change in Quantity Demanded)/(% Change in Price) = (dQ/Q)/(dP/P) × P/QSince MR = P(1 - 1/Ed), MR is greater than MC if Ed is less than 1 and less than MC if Ed is greater than 1. Therefore, the optimal output occurs where Ed is equal to
Substituting the values of P and Q, we get:Ed = (dQ/Q)/(dP/P) × P/Q = -1.47Therefore, demand is elastic at the optimal output.

Calculate the firm’s markup.The markup is given by the formula (P - MC)/P.Substituting the values of P and MC, we get:(83.33 - 33.33)/83.33 = 0.6 = 60% markup .

What is the DWL associated with the monopoly output?DWL (Deadweight Loss) is the difference between the total surplus in a competitive market and the total surplus in a monopoly market.

The formula for DWL is:DWL = (1/2)(Pmon - Pcomp)(Qcomp - Qmon)DWL can be calculated by using the demand equation and finding the quantity demanded at the monopoly price and the competitive price. At the monopoly price of $83.33, the quantity demanded is 66.67.

At the competitive price of $66.67, the quantity demanded is 100. Therefore, DWL can be calculated as follows:DWL = (1/2)(83.33 - 66.67)(100 - 66.67) = $1,111.1 f.

Suppose the government offered a $10 production subsidy to the monopolist. What is their new optimal output?The new optimal output will be where the new marginal cost equals the original marginal revenue.

The subsidy reduces the marginal cost to (1/2) Q - $10.

Therefore, the monopolist's new optimal output can be found by solving for Q:100 - 1/2 Q + 10 = 1/2 Q => Q = 74.07 units of outputWhen Q = 74.07, the price is given by the demand equation:P = 100 - 1/4 Q => P = $81.48 g. Does the DWL fall or rise?The DWL falls when the monopolist receives the subsidy because it leads to an increase in output and a decrease in price.

Therefore, the deadweight loss falls.

To know more about price elasticityvisit:

brainly.com/question/30161342

#SPJ11

Answer:

2.3

Step-by-step explanation:

0.168 is the probability that exactly 1 of the 4 players has exactly one ace and one king.

The word "probability" derives from the Latin word "probitatem," which means "credibility, likelihood," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

a)

Given that,

each player gets 13 cards.

So, n = total no. of ways = ⁵²C₁₃ = 6.350× 10¹¹

As we know, there are 2 black aces and 4 kings in a deck of 52 cards. Since, one black ace out of 2 black aces can be chosen in ²C₁ ways, next one king out of 4 kings in ⁴C₁ ways and the remaining 11 cards from the remaining 46 cards in ⁴⁶C₁₁ ways.

So, m = ²C₁ × ⁴C₁ × ⁴⁶C₁₁

m = 1.067 × 10¹¹

Therefore, Required probability p =  m/n

p = (1.067 × 10¹¹) / (6.350× 10¹¹)

p = 0.168

To know more about probability refer to:

brainly.com/question/24756209

#SPJ4

Answer:

four minus three

Step-by-step explanation:

your welcome

Answer:

\(\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}\)

\(\huge\colorbox{violet}{✏﹏ \: Part A \: }\)

\(x = 55°\)

✏ They are vertically opposite angles. Vertically opposite angles are equal to each other.

\(\huge\colorbox{yellow}{✏﹏ \: Part B \: }\)

\(x = 110°\)

✏ Same reason as Part A. They are vertically opposite angles. Vertically opposite angles are equal to each other.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

\( \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}\)

Answer:

Part A :

They are vertically Opposite angles

X=55°

Part B:

Same as part A

X=110°

The new shape of the cube will have a decrease in volume, but surface area will be the same, and total length of edges will increase. Picture attached.

Volume: For the volume of the original cube, made up of 8 identical small cubes, If one of the small cubes is removed, the volume of the new shape will be smaller than the original cube since we are taking away a portion of it.

Surface Area: The surface area of the original cube is calculated by multiplying the area of one face by the number of faces (6). Removing one of the faces, the surface area of the new shape will still remain the same as the 3 outer faces removed will still be present is the in the new shape.

Total Length of Edges: The total length of edges in the original cube is given by 12 times the side length. When a small cube is removed, the new shape will have more edges than the original cube. Specifically, it will have 18 edges.

In all three cases, the removal of a small cube reduces the size and shape of the resulting object, resulting in a decrease in volume, but surface area will be the same, and total length of edges will increase

Read more about cube here:https://brainly.com/question/777092

#SPJ1

Based on the given dataset and information that the last digit of the CUNY ID is 5, the following steps are taken to analyze the data. The OLS estimates of coefficients B and β are calculated, and the predicted values of Y for each observation are determined. Residuals are calculated, along with the explained sum of squares (ESS), total sum of squares (TSS), and residual sum of squares (RSS). The coefficient of determination (R²) is calculated to assess the goodness of fit. Finally, the predicted value of Y is determined when X is equal to the last digit of the CUNY ID + 1.

a) To regress Y on X, we use ordinary least squares (OLS) estimation. The OLS estimates of coefficients B and β represent the intercept and slope, respectively, of the regression line. The coefficients are determined by minimizing the sum of squared residuals.

b) The predicted value of Y for each observation is obtained by plugging the corresponding X values into the regression equation. In this case, since the last digit of the CUNY ID is 5, the predicted value of Y would be calculated for X = 5.

c) Residuals are the differences between the observed Y values and the predicted Y values obtained from the regression equation. To calculate the residual for each observation, we subtract the predicted Y value from the corresponding observed Y value.

d) The explained sum of squares (ESS) measures the variability in Y explained by the regression model, which is calculated as the sum of squared differences between the predicted Y values and the mean of Y. The total sum of squares (TSS) represents the total variability in Y, calculated as the sum of squared differences between the observed Y values and the mean of Y. The residual sum of squares (RSS) captures the unexplained variability in Y, calculated as the sum of squared residuals.

e) The coefficient of determination, denoted as R², is a measure of the proportion of variability in Y that can be explained by the regression model. It is calculated as the ratio of the explained sum of squares (ESS) to the total sum of squares (TSS).

f) To predict the value of Y when X equals the last digit of the CUNY ID + 1, we can substitute this value into the regression equation and calculate the corresponding predicted Y value.

g) The coefficient B represents the intercept of the regression line, indicating the expected value of Y when X is equal to zero. The coefficient β represents the slope of the regression line, indicating the change in Y associated with a one-unit increase in X. The interpretation of β depends on the context of the data and the units in which X and Y are measured.

To learn more about regression click here: brainly.com/question/32505018

#SPJ11

Answer:

Jada will need 9 cups :)

Step-by-step explanation:

hope this helps you out!! :))

The probability that Linda randomly selects a peanut butter cookie, eats it, and then randomly selects an oatmeal cookie is 2/43.

1. First, we need to find the total number of cookies in the bag. The bag contains:
  - 8 chocolate chip cookies
  - 5 peanut butter cookies
  - 9 sugar cookies
  - 8 oatmeal cookies

  Total cookies = 8 + 5 + 9 + 8 = 30 cookies

2. Next, we find the probability of Linda randomly selecting a peanut butter cookie:
  Probability of peanut butter = (Number of peanut butter cookies) / (Total number of cookies)
  Probability of peanut butter = 5/30

3. After eating the peanut butter cookie, there are now 29 cookies left in the bag (and 4 peanut butter cookies remaining).

4. Now, we find the probability of Linda randomly selecting an oatmeal cookie:
  Probability of oatmeal = (Number of oatmeal cookies) / (Total number of remaining cookies)
  Probability of oatmeal = 8/29

5. To find the overall probability of both events occurring, we multiply the individual probabilities:
  Probability of both events = (Probability of peanut butter) * (Probability of oatmeal)
  Probability of both events = (5/30) * (8/29)

6. Simplify the fraction:
  Probability of both events = 40/870

7. Reduce the fraction to its lowest terms:
  Probability of both events = 2/43

So the probability that Linda randomly selects a peanut butter cookie, eats it, and then randomly selects an oatmeal cookie is 2/43.

to learn more about probability click here:

brainly.com/question/29221515

#SPJ11