maricela bought 2 1/3 pounds of bananas , 1 5/12 pounds of apples , and 3 5/6 pounds of mangoes. How many pounds of fruit did she buy?

Answer:

Mean of the population having 6"-9" Hatching =38

Standard Deviation =4

Step-by-step explanation:

Confidence interval of 95% means that 95% of data lie within two standard deviations.

That is data values lie between 38-2×4 to 38 +2×4.

⇒Which is 38-8 to 38+8.

⇒30 to 46.

it is also given that margin of error is 2.5%.

So, the data value will lie between

Mean of beginning value to extreme value of 95% confidence level

So, Sample mean of this observation having 2.5% margin of error = 38

Option D:→ 38

Answer:

So first, we figure out the maximum the patient could be taking each day: 2 tabs every 4 hours = 12 tabs per day at the most.

Answer:

exact form -219/8

Decimal form - -27.375

Mixed number form - -27 3/8

Answer:

Third choice: \( y \le \dfrac{2}{3}x + \dfrac{1}{5} \)

Step-by-step explanation:

First, we find the equation of the line.

y = mx + b

b = y-intercept = 0.2 = 1/5

y = mx + 1/5

m = rise/run = 2/3

y = 2/3 x + 1/5

The line is solid, and the shading is below the line, so the inequality is

\( y \le \dfrac{2}{3}x + \dfrac{1}{5} \)

Answer:

C. y = 2/3x + 1/5

Step-by-step explanation:

Well lets look at the features,

Solid line and shaded down meaning it is y ≤.

So we can cross out choices A. B. D.

Do the answer is C. because it’s the only one that starts with y≤.

The correct expressions are;

B). 2/2 + 2/2 + 1/2 = 2.5

D). 1 1/2 + 1/2 + 1/2 = 2.5

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

Danny has 2 1/2 pounds of coffee grounds.

2 1/2 = 2.5

The choices are given in the image.

A). 3/2 + 2/2 + 1/2 = 6/2 = 3 ≠ 2.5.

B). 2/2 + 2/2 + 1/2 = 2.5

C).  1 + 1 + 1/2 + 1/2

But this shows the situation for four days,

So, this option is discarded.

D). 1 1/2 + 1/2 + 1/2 = 2.5

Therefore, B and D are the correct options.

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Answer:

a. 6

b. 0.24

c. 0.46

d. 0.86

The mean number of steps for the particle to return to its starting position is infinite.

To find the mean number of steps for the particle to return to its starting position, we can analyze the probabilities of different outcomes and use the concept of expected value.

Let's consider the situation where the particle is currently at a point on the circle. The probability of moving one step clockwise is 1/2, and the probability of moving one step counterclockwise is also 1/2.

Now, let's define a random variable X as the number of steps it takes for the particle to return to its starting position. We want to find the expected value or mean value of X.

Let's consider the possible outcomes for the first step:

If the particle returns to its starting position in one step, then X = 1.

If the particle moves to an adjacent point (clockwise or counterclockwise), then the problem reduces to a similar but smaller subproblem with one less point on the circle.

In this case, the expected number of additional steps required to return to the starting position is E[X] (the mean value we are trying to find).

Based on the probabilities of moving clockwise or counterclockwise, we can express the expected value of X as:

E[X] = 1 + (1/2) * E[X] + (1/2) * E[X]

The first term "1" represents the case where the particle returns to the starting position in one step. The second term "(1/2) * E[X]" represents the case where the particle moves to an adjacent point and needs additional expected steps to return.

The third term "(1/2) * E[X]" represents the case where the particle moves to the other adjacent point and needs additional expected steps to return.

Simplifying the equation, we get:

E[X] = 1 + (1/2) * E[X] + (1/2) * E[X]

E[X] = 1 + E[X]

Now, solving for E[X], we find:

E[X] - E[X] = 1

0 = 1

This equation is not possible. It implies that the expected value of X is equal to 1, which contradicts the fact that it takes more than one step on average for the particle to return to its starting position.

However, this result suggests that the particle will never return to its starting position with a finite number of steps. This is because the probabilities of moving clockwise and counterclockwise are equal at each step, leading to a symmetrical distribution of positions.

The particle will keep oscillating between different points on the circle, never settling on the starting position.

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The z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

Given that the z score separates the 56% of the distribution from the area in the tails of the standard normal distribution.

In a normal distribution in with mean μ and standard deviation σ, the z score of a measure X is as under:

Z=(X-μ)/σ

It is used to measure how many standard deviations the measure is from the mean.

After finding the z score we have to look at the z score table and find the p value associated with this z score, which is the percentile of X.

The normal distribution is symmetric which means that the middle 56% is between the 11th and 67th percentile. Looking at the z table the z scores are Z=±0.77.

Hence the z score that separate the middle 56% of the distribution from the area in the tails of the standard normal distribution is ±0.77.

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Answer:

\(A=41\pi\: \text{units}^2\approxA\approx128.8053\:\text{units}^2\)

Step-by-step explanation:

I assume you mean \(r=3+8\sin\theta\):

Use the formula \(\displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta\) where \(a\) and \(b\) are the lower and upper bounds and \(r(\theta)\) is the equation of the polar curve.

Since the graph is symmetrical about the line \(\displaystyle \theta=\frac{\pi}{2}\), let the bounds of integration be \(\displaystyle \biggr(-\frac{\pi}{2},\frac{\pi}{2}\biggr)\) to find half the area of the curve, and then find twice of that area:

\(\displaystyle A=\int\limits^a_b \frac{1}{2} {r(\theta)^2} \, d\theta\\\\A=2\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \frac{1}{2} {(3+8\sin\theta)^2} \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\sin^2\theta \, d\theta\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} 9+48\sin\theta+64\biggr(\frac{1-\cos2\theta}{2} \biggr) \, d\theta\\\\\\A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (9+48\sin\theta+32-32\cos2\theta) \, d\theta\)

\(\displaystyle A=\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}} (41+48\sin\theta-32\cos2\theta) \, d\theta\\\\A=41\theta-48\cos\theta-16\sin2\theta\biggr|^{\frac{\pi}{2}}_{-\frac{\pi}{2}}\\\\\)

\(A=\biggr[41\biggr(\frac{\pi}{2}\biggr)-48\cos\biggr(\frac{\pi}{2}\biggr)-16\sin2\biggr(\frac{\pi}{2}\biggr)\biggr]-\biggr[41\biggr(-\frac{\pi}{2}\biggr)-48\cos\biggr(-\frac{\pi}{2}\biggr)-16\sin2\biggr(-\frac{\pi}{2}\biggr)\biggr]\\\\A=\biggr[\frac{41\pi}{2}-24\sqrt{2}\biggr]-\biggr[-\frac{41\pi}{2}+24\sqrt{2}\biggr]\\ \\A=41\pi\\\\A\approx128.8053\)

Thus, the area of the curve is 41π square units. See below for a graph of the curve and its shaded area.

To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging the x value into the equation. The resulting y value is your predicted linear regression score.

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Answer:

See Explanation

Step-by-step explanation:

See comment for correct presentation of the question

Given

\(Expression = 40\% * 75\)

\(Priya = \frac{2}{5} * 75\)

Required

Is Priya correct?

We start by simplifying the expression.

\(Expression = 40\% * 75\)

Express 40% as fraction

\(Expression = \frac{40}{100} * 75\)

Simplify fraction: Divide numerator and denominator by 20

\(Expression = \frac{40/20}{100/20} * 75\)

\(Expression = \frac{2}{5} * 75\)

By comparing:

\(Expression = \frac{2}{5} * 75\)

and

\(Priya = \frac{2}{5} * 75\)

We can conclude that Priya is correct because:

\(40\% = \frac{2}{5}\)

Answer:

4

Step-by-step explanation:

y = 4 sin (3x)

The amplitude is the coefficient in front of sin

4 is the amplitude

Answer:

g(f(x)) = 8x² - 28x + 34

Step-by-step explanation:

f(x) = 2x² - 7x + 6

g(x) = 4x + 10

g(f(x)) = y

y = 4 ( 2x² - 7x + 6 ) + 10 = 8x² - 28x + 34

g(f(x)) = 8x² - 28x + 34

Answer:

f(X)=2x^2-7x+6

g(X)=4x+10

Step-by-step explanation:

now according to question, g(f(X))=g{f(X)}

=g(2x^2-7x+6)

=4(2x^2-7x+6)+10

= 8x^2-14x+24+10

=8x^2-14x+34

Answer:

-4 < n ≤ 5

Step-by-step explanation:

_________________

Answer:

-9/4 = x

Step-by-step explanation:

4 is the same as 4/1

this problem is a proportion which can be solved by cross-multiplying:

7 = 4(x+4)

7 = 4x + 16

-9 = 4x

-9/4 = x

The statement (b) the sum is a binomial with a degree of 3 is correct.

Expressions are defined as the combination of constants and variables with mathematical operators.

We have expressions:

6s²t – 2st²

4s²t – 3st²

Adding the above two expressions, we get;

= (6s²t – 2st²) + (4s²t – 3st²)

Combining like terms:

= 10s²t - 5st²

The above expression has degree 3(2+1)

Thus, statement (b) the sum is a binomial with a degree of 3 is correct.

Complete question:

What is true about the sum of the two polynomials?

6s2t – 2st2

4s2t – 3st2

a.) The sum is a binomial with a degree of 2.

b.) The sum is a binomial with a degree of 3.

c.) The sum is a trinomial with a degree of 2.

d.) The sum is a trinomial with a degree of 3.

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Step-by-step explanation:

So here is my attempt. And i guess its correct

The angle between the lines passing through (2, 5) and (4, -3), and (1, -2) and (3, 4) is approximately -32.7 degrees.

Example 1:

Find the angle between the lines with equations y = 2x + 3 and y = -3x + 1.

Solution:

To find the angle between the lines, we need to determine the slopes of the two lines.

The slope-intercept form of a line is y = mx + b, where m is the slope.

Comparing the given equations, we can see that the slopes of the lines are m1 = 2 and m2 = -3.

Using the angle between two lines formula, the angle θ between the lines is given by the equation:

tan(θ) = |(m2 - m1) / (1 + m1m2)|

Substituting the values, we have:

tan(θ) = |(-3 - 2) / (1 + (2)(-3))|

= |-5 / (1 - 6)|

= |-5 / -5|

= 1

To find the angle θ, we take the inverse tangent (arctan) of 1:

θ = arctan(1)

θ ≈ 45°

Therefore, the angle between the lines y = 2x + 3 and y = -3x + 1 is approximately 45 degrees.

Example 2:

Determine the angle between the lines with equations 3x - 4y = 7 and 2x + 5y = 3.

Solution:

First, we need to rewrite the given equations in slope-intercept form (y = mx + b).

The first equation: 3x - 4y = 7

Rewriting it: 4y = 3x - 7

Dividing by 4: y = (3/4)x - 7/4

The second equation: 2x + 5y = 3

Rewriting it: 5y = -2x + 3

Dividing by 5: y = (-2/5)x + 3/5

Comparing the equations, we can determine the slopes:

m1 = 3/4 and m2 = -2/5

Using the angle between two lines formula:

tan(θ) = |(m2 - m1) / (1 + m1m2)|

Substituting the values:

tan(θ) = |((-2/5) - (3/4)) / (1 + (3/4)(-2/5))|

= |((-8/20) - (15/20)) / (1 + (-6/20))|

= |(-23/20) / (14/20)|

= |-23/14|

To find the angle θ, we take the inverse tangent (arctan) of -23/14:

θ = arctan(-23/14)

θ ≈ -58.44°

Therefore, the angle between the lines 3x - 4y = 7 and 2x + 5y = 3 is approximately -58.44 degrees.

Example 3:

Find the angle between the lines passing through the points (2, 5) and (4, -3), and (1, -2) and (3, 4).

Solution:

To find the angle between the lines, we need to determine the slopes of the two lines using the given points.

For the first line passing through (2, 5) and (4, -3):

m1 = (y2 - y1) / (x2 - x1)

= (-3 - 5) / (4 - 2)

= -8 / 2

= -4

For the second line passing through (1, -2) and (3, 4):

m2 = (y2 - y1) / (x2 - x1)

= (4 - (-2)) / (3 - 1)

= 6 / 2

= 3

Using the angle between two lines formula:

tan(θ) = |(m2 - m1) / (1 + m1m2)|

Substituting the values:

tan(θ) = |(3 - (-4)) / (1 + (-4)(3))|

= |(3 + 4) / (1 - 12)|

= |7 / (-11)|

= -7/11

To find the angle θ, we take the inverse tangent (arctan) of -7/11:

θ = arctan(-7/11)

θ ≈ -32.7°

Therefore, the angle between the lines passing through (2, 5) and (4, -3), and (1, -2) and (3, 4) is approximately -32.7 degrees.

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Answer:

A.

Step-by-step explanation:

when you distribute it you keep the subtraction sign and have to multiply 6 by 50 and then 6 by 1

Answer:

-x² + 13x + 2

Step-by-step explanation:

you are on ambitious level, and you cannot answer that yourself ? that is trivial. truly. no hidden traps, just straight forward adding and simplifying. what is the problem, please ?

-7x² + 6x² = -x²

5x + 8x = 13x

-1 + 3 = 2

Answer:

3rd option

Step-by-step explanation:

Given

(- 7x² + 5x - 1) + (6x² + 8x + 3) ← remove parenthesis

= - 7x² + 5x - 1  + 6x² + 8x + 3 ← collect like terms

= - x² + 13x + 2

Answer: Early in the race, Alberto runs faster. He maintains a speed of 20 km/h, as Bianca running speed ??increases??. The first person to cross the finish line is Bianca.

Step-by-step explanation:

- Early in the race, Alberto runs faster.

- Alberto maintains a speed of 20 km/h during the first hour of the race.

meanwhile, Bianca’s running speed Is exponential

-The first person to cross the finish line is Bianca

Speed is what it means. the speed at which an object's location changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

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Answer:

Slope = 1/8

Step-by-step explanation:

(20-18)/11- - 5)

= 2/16

= 1/8

Answer:

3.167 liters

Step-by-step explanation:

1 liter = 1,000 milliliters

3,167 milliliters * 1liter/1,000milliliters = 3.167 liters

The answer should be 25 unites

Answer:

Step-by-step explanation:

3s + 4p = 96 -------> 3s = 96 - 4p

We are also told

6s + 5p = 147

Note: 6s = 2 x 3s

So this means we can re-write the above equation as :

6s + 5p = 147

2(3s) + 5p = 147

2 ( 96 - 4p) + 5p = 147

192 - 8p + 5p = 147

192 - 3p = 147

Add 3p to both sides

192 = 147 + 3p

Subtract 147 from both sides

192 - 147 = 3p

45 = 3p

Divide both sides by 3 to find "p".

p = 45/3 = 15  (Pants cost $15)

Now since we know "p" we can substitute this value into the equation at the beginning

3s = 96 - 4p

3s = 96 - 4(15)

3s = 96 - 60

3s = 36

Divide both sides by 3 to find "s".

s = 36/3 = 12 (Shirts cost $12)

File name: “TestClass.java” import java.util.Scanner; public class TestClass {

A recursive function is one that generates a series of terms by iterating over or using its foregoing terms as input. This function is typically understood in terms of an arithmetic-geometric series with terms that share similar differences.

File name: “TestClass.java”

import java.util.Scanner;

public class TestClass {

     //Define main() method

     public static void main(String[] args) {

           // Construct a Scanner object

           Scanner scr = new Scanner(System.in);

           //Ask the user to enter a decimal number

           System.out.print("Enter a decimal number: ");

           //Get the decimal number from the user

           int decinum = scr.nextInt();

           // Display the binary number

           System.out.println("The binary equivalent of the decimal value"

                 + decinum + " is " + dec2Bin(decinum));

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The probability that at least 12 buy their lunch =  0.887

Given that 73% of students buy their lunch.

⇒ p = 0.73

And q = 1-p

q =  0.27

sample size (the number of student selected) n = 19

We need to calculate the probability that at least 12 buy their lunch.

i.e., P(x ≥ 12)

We use binomial distribution formula, P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

P(X ≥ 12)

= P(X= 12) + P(X= 13) + P(X= 14) + P(X= 15) + P(X= 16) + P(X= 17) + P(X= 18) + P(X= 19) \(=~ ^{19}C_{12}(0.73)^{12}(0.27)^{7} + ^{19}C_{13}(0.73)^{13}(0.27)^{6}+ ^{19}C_{14}(0.73)^{14}(0.27)^{5} + ^{19}C_{15}(0.73)^{15}(0.27)^{4} + ^{19}C_{16}(0.73)^{16}(0.27)^{3} + ^{19}C_{12}(0.73)^{17}(0.27)^{2}+ ^{19}C_{12}(0.73)^{18}(0.27)^{1}+ ^{19}C_{12}(0.73)^{19}(0.27)^{0}\)

= 0.1207 + 0.1757 + 0.2036 + 0.1835 + 0.1240 + 0.0592 + 0.0178 + 0.0025

= 0.887

The required proability is  0.887

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The most probable number of hits is 4, with a probability of 0.25 or 25%.

Given that p = 0.35 and the number of shots fired is 10,

The most probable number of hits will be 10 x 0.35 = 3.5 hits.

Since we can't have half a hit, the most probable number of hits is either 3 or 4.

Using the formula above, we can find the probability of getting exactly 3 hits:

P(x = 3) = C(10,3)(0.35)3(1 - 0.35)10 - 3= 0.218

Using the formula above, we can find the probability of getting exactly 4 hits:

P(x = 4) = C(10,4)(0.35)4(1 - 0.35)10 - 4= 0.250

Therefore, the most probable number of hits is 4, with a probability of 0.25 or 25%.

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Answer:

the median is not in the middle of the box

Step-by-step explanation: