Enzo was working with the cash register of daniele's grocery. michael, the 1st customer, bought 3 apples, 5 bananas & and 4 oranges for a total of $8.85 dani, the 2nd customer bought 8 apples, 1 banana & 3 oranges for a total of $8.10. noah, the 3rd customer, bought 2 apples, 2 bananas & 2 oranges for a total of $4.40. how much did each piece of fruit cost?

Answer:

269

Step-by-step explanation:

Slope = change in Y over change in x:

Slope = ( 7 - -3) / ( 4 -2)

Slope = (7 +3) / (4-2)

Slope = 10/2

Slope = 5

The answer is 5

Answer:

What are the major problems of cotton textile industries? first answer this

Answer:

12

Step-by-step explanation:

Equation y=40x+420

plur in 900 to the y

900=40x+420

subtract

480=40x

divide

x=12

The sampling technique used for this situation is given by:

c) Cluster.

Samples may be classified as:

In this problem, the population is divided into groups, and each element of the groups are survived, hence cluster sampling was used.

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B. No, because the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

The Central Limit Theorem (CLT) is a fundamental concept in statistics that states that as the sample size increases, the sampling distribution of the sample means will approach a normal distribution. However, this is only true if certain conditions are met, one of which is having a large enough sample size.
The CLT states that the sampling distribution of x will be approximately normally distributed if the sample size is large enough (usually greater than 30). If the sample size is small, the sampling distribution may not be normally distributed. In such cases, other statistical techniques like the t-distribution should be used.
Furthermore, the CLT assumes that the population being sampled is not necessarily normally distributed, but it does require that the population has a finite variance. This means that even if the population is not normally distributed, the sampling distribution of x will still be approximately normal if the sample size is large enough.
In conclusion, the answer is B, as the Central Limit Theorem states that the sampling distribution of x is approximately normally distributed only if the sample size is large enough.

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Each point on the scattergraph represents one pair of revenue and activity values.

A scattergraph, also known as a scatter plot or scatter diagram, is a graphical representation that displays the relationship between two variables. In this context, each point on the scattergraph represents one pair of revenue and activity values.

Revenue represents the total income generated from a given level of activity or production. It is typically measured in monetary units, such as dollars.

Activity, on the other hand, represents the level of output, production, or any other relevant measure of performance. It can be measured in various units depending on the specific context, such as units produced, hours worked, or any other relevant metric.

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Answer:

4, 5, 6, 7, 8

and

k≥4

hope this helps! :)

Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

118

Step-by-step explanation:

5y² + 10y - 2                               y = 4

5(4)² + 10(4) - 2

= 5(16) + 40 - 2

= 80 + 40 - 2

= 120 - 2

= 118

To find the value of the expression 5y^2 + 10y - 2 when y = 4, we can substitute y = 4 in the expression and simplify as follows:

5y^2 + 10y - 2, when y = 4

= 5(4)^2 + 10(4) - 2 [Substituting y = 4]

= 5(16) + 40 - 2

= 80 + 38

= 118

Therefore, the value of the expression 5y^2 + 10y - 2 when y = 4 is 118.

For a dataset with a minimum value of 7, maximum value of 81, and divided into 7 classes, the class width is 11, the lower class limits are 7, 18, 29, 40, 51, 62, 73, and the upper class limits are 17, 28, 39, 50, 61, 72, 73.

(a) The class width is calculated by dividing the range (maximum - minimum) by the number of classes:

Class width = (maximum - minimum) / number of classes

= (81 - 7) / 7

= 74 / 7

≈ 10.57

Rounding to the nearest whole number, the class width is 11.

(b) To find the lower class limits, we start with the minimum value and then add the class width repeatedly to obtain the next lower class limit. Here's the calculation:

Lower class limits: 7, 18, 29, 40, 51, 62, 73

(c) The upper class limits can be found by subtracting 1 from each lower class limit, except for the last class. The last class's upper limit is the same as the last class's lower limit. Here's the calculation:

Upper class limits: 17, 28, 39, 50, 61, 72, 73

Therefore, For a dataset with a minimum value of 7, maximum value of 81, and divided into 7 classes, the class width is 11, the lower class limits are 7, 18, 29, 40, 51, 62, 73, and the upper class limits are 17, 28, 39, 50, 61, 72, 73.

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Answer:

1. 30 2. 60=k

Step-by-step explanation:

1. (3600/40) - (2400/20)

90- 120

-30

Flip

30

2. (20, 2400)(40,3600)

(Y2-Y1)/(X2-X1)

3600- 2400/ 40- 20

1200/ 20

Simplify

60= slope

Answer:

17 = 31/P

Step-by-step explanation:

The measure of the segment xy of the given right angle triangle is; 36 units

This question can be best understood if the trigonometric ratios are briefly highlighted since it has been used in the question. Cos f is given as 4/9. We know that the cos of an angle is derived as the adjacent divided by the hypotenuse. In other words, the cosine of angle f is given as;

Cos f = Adjacent / Hypotenuse

Thus;

Cos f = 4/9

From the triangle shown in the attachment, the adjacent is XW while the hypotenuse is XY. Hence, the adjacent is 16 units and the hypotenuse is unknown. Since the measurements given in the question are a ratio of the original dimensions, the relationship can be expressed as follows;

4/9 = 16/XY

Where XY is the unknown side

By cross multiplication, you now arrive at,

4XY = 9 * 16

XY = 144/4

XY = 36

Therefore, XY measures 36 units

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The angle at which golf ball should be hit to land in the hole is 13.65°.

Given information is,
Horizontal distance of golf ball from hole = 420 ft or 140 yd
Height of golf ball from hole = 55 ft
Initial velocity of golf ball = 120 ft/s
Let, Angle at which golf ball should be hit to land in the hole is θ.The range of golf ball is given by:
R = u²/g × sin2θ
Where,u = Initial velocity of golf ball
g = acceleration due to gravity= 32 ft/s²
R = Range of golf ball
Therefore,420 = 120²/g × sin2θ
By solving this equation, the value of sin2θ is obtained,2 sinθ cosθ = 8400/g
The value of sinθ can be determined by solving the above equation, sinθ = (8400/g)/√(4 + (8400/g)²)
Therefore,θ = 0.5sin⁻¹(8400/g√(4 + (8400/g)²))
The value of θ can be calculated,θ = 0.5sin⁻¹(8400/32√(4 + (8400/32)²))= 0.5sin⁻¹(8400/32√(4 + 2625))= 0.5sin⁻¹(8400/32√(2629))= 0.5sin⁻¹(8400/181.33)= 0.5sin⁻¹(46.337)= 0.5 × 27.31= 13.65°

Therefore, the angle at which golf ball should be hit to land in the hole is 13.65°.

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This gives us a probability of approximately 0.3085, or 30.85%. This gives us a probability of approximately 0.0228, or 2.28%.

a) To find the probability that someone's purchase amount exceeds $40, we need to find the z-score first:

z = (40 - 36) / 8 = 0.5

Then we can use the NORM.DIST function in Excel to find the probability:

=NORM.DIST(0.5,TRUE,FALSE)

b) To find the probability that the mean purchase amount for 16 customers exceeds $40, we need to use the formula for the distribution of sample means:

μX = μ = $36

σX = σ/√n = $8/√16 = $2

Then we can find the z-score for this distribution:

z = (40 - 36) / 2 = 2

Using the NORM.DIST function in Excel, we can find the probability of the sample mean exceeding $40:

=NORM.DIST(2,TRUE,FALSE)

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Answer:

Interest is $14,400

Step-by-step explanation:

I = Prt

I = (80,000)(0.09)(2)

I = 14,400

Answer:

{x,y}={-4,-1}

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable x

[2] 3x = 4y - 8

[2] x = 4y/3 - 8/3

// Plug this in for variable x in equation [1]

[1] 2•(4y/3-8/3) + 5y = -13

[1] 23y/3 = -23/3

[1] 23y = -23

// Solve equation [1] for the variable y

[1] 23y = - 23

[1] y = - 1

// By now we know this much :

x = 4y/3-8/3

y = -1

// Use the y value to solve for x

x = (4/3)(-1)-8/3 = -4

Solution :

{x,y} = {-4,-1}

Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.

To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.

First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.

The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.

Using the Pythagorean theorem, we have:

x^2 + (width of the river)^2 = PR^2

Since the width of the river is not given, we'll represent it as w. Therefore:

x^2 + w^2 = 400^2

Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.

Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.

To find the total distance, we add up the distances:

Total distance = QP + PR + RQ

= x + 400 + x

= 2x + 400

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If Pat can knit 2cm in 35 minutes, then would take Pat approximately 2800 minutes to knit a scarf that is 160cm long.

If Pat can knit 2cm in 35 minutes time

then she can knit 1cm in (35/2) minutes, or 17.5 minutes.

To determine the total time to knit a 160cm scarf

Pat would need to work a total of

160cm x 17.5 minutes/cm = 2800 minutes.

Hence,

It would take Pat approximately 2800 minutes to knit a scarf that is 160cm long. This is equivalent to about 46.7 hours or 1.94 days of work

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Pat is knitting a scarf . On average she can knit 2cm in 35mins. How long will take her to knit a scarf that is 160cm long?​

Answer: 3/2

Step-by-step explanation:

Answer:

i think  {x,y} = {-5,-2}  

Step-by-step explanation:

Answer:

AC = 7.42

Step-by-step explanation:

Draw a picture!

∠ACB = 90 - 38 = 52º

Use Law of Sines

AC/sin38 = 9.5/sin52

AC = 9.5/sin52 * sin38

Use calculator

AC = 7.422213451813815

AC = 7.42   Rounded to 3SF

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

Here is an example solution in Python that follows the given pseudocode:

# Prompt for and read the first term

first_term = int(input("Enter first term: "))

# Prompt for and read the common difference

common_difference = int(input("Enter common difference: "))

# Prompt for and read the number of terms

number_of_terms = int(input("Enter number of terms: "))

# Calculate the last term

last_term = first_term + (number_of_terms - 1) * common_difference

# Calculate the sum of all the terms

sum_of_terms = number_of_terms * (first_term + last_term) / 2

# Calculate the average of all the terms

average_of_terms = sum_of_terms / number_of_terms

# Display the results

print("The last term is", last_term)

print("The sum of all the terms is", sum_of_terms)

print("The average of all the terms is", average_of_terms)

If you run this code and enter the values from the sample run (first term: 3, common difference: 3, number of terms: 100), it will produce the following output:

The last term is 300

The sum of all the terms is 15150.0

The average of all the terms is 151.5

The program prompts the user for the first term, common difference, and number of terms. Then it calculates the last term using the given formula. Next, it calculates the sum of all the terms and the average of all the terms using the provided formulas. Finally, it displays the calculated results.

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Answer:

n= 8

Step-by-step explanation:

13 = 5+n

is the same as

5+n= 13

transpose

n=13-5

n= 8

hope it helps

Answer:

5 units

Step-by-step explanation:

To solve this we can use pythagoras theory:

Hope this helps!

The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

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Answer:

it is B

Step-by-step explanation:

I had this on my work it should be right

The required value of the given matrix expression is as follows:

\(\left[\begin{array}{ccc}4v_1+5v_3\\v_2\\7v_1+3v_3\\v_4\end{array}\right] =-115\)

To find the value of the given expression, we can use the properties of matrix operations and determinants.

Given that 4×4 matrix A with rows \(v_1\), \(v_2\), \(v_3\), and \(v_4\) .

Let's denote the given matrix expression as A:

\(A=\left[\begin{array}{cccc}v_1&v_2&v_3&v_4\\v_1&v_2&v_3&v_4\\v_1&v_2&v_3&v_4\\v_1&v_2&v_3&v_4\end{array}\right]\)

As per the question, we have to find:

\(\left[\begin{array}{ccc}4v_1+5v_3\\v_2\\7v_1+3v_3\\v_4\end{array}\right] =\left[\begin{array}{cccc}4&0&5&0\\0&1&0&0\\7&0&3&0\\0&0&0&1\end{array}\right]\)

Evaluate the determinant to get the value as:

\(det\left|\begin{array}{cccc}4&0&5&0\\0&1&0&0\\7&0&3&0\\0&0&0&1\end{array}\right|=-23\)

We know that multiplying a row of a matrix by a scalar does not change the determinant. Therefore, we can rewrite it as follows:

\(det\left|\begin{array}{cccc}4&0&5&0\\0&1&0&0\\7&0&3&0\\0&0&0&1\end{array}\right|\times\det\left|\begin{array}{cccc}v_1&v_2&v_3&v_4\\v_1&v_2&v_3&v_4\\v_1&v_2&v_3&v_4\\v_1&v_2&v_3&v_4\end{array}\right|\)

Substitute the values in the above expression to get:

⇒ (-23) × 5

Apply the multiplication to get:

⇒ -115

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The complete question is as follows:

If a 4×4 matrix A with rows \(v_1\), \(v_2\), \(v_3\), and \(v_4\) has determinant det A=5,

Then find:

\(\left[\begin{array}{ccc}4v_1+5v_3\\v_2\\7v_1+3v_3\\v_4\end{array}\right] =\)