The cost of a phone is reduced by 20%. The new cost is $70.40. What was the original price?

Step-by-step explanation:

3x-6+8x-2

11x-8........

The area of the shaded region = area of semicircle - area of triangle ACB = 11.32 cm².

Area of a triangle = 1/2(base)(height).

Area of a semi-circle = 1/2(πr²).

m∠ACB is a right triangle based on the central angle theorem. Therefore, ΔACB is a right triangle.

Radius of circle = OC = 4 cm

CB = 4 cm

Diameter AB = 2(4) = 8 cm

Using the Pythagorean theorem, find AC in ΔACB:

AC = √(AB² - CB²)

AC = √(8² - 4²)

AC ≈ 6.9 cm

Area of ΔACB = 1/2(CB)(AC)

Area of ΔACB = 1/2(4)(6.9)

Area of ΔACB ≈ 13.8 cm²

Area of semicircle = 1/2(πr²) = 1/2(π)(4²)

Area of semicircle ≈ 25.12 cm²

Area of the shaded region = area of semicircle - area of triangle ACB = 25.12 - 13.8

Area of the shaded region = 11.32 cm²

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The statement "alpha = beta" means that the two variables "alpha" and "beta" have the same value. This is know as equality in mathematics.

It's important to note that "alpha" and "beta" are just placeholder names for variables, and without context, it's impossible to determine what they represent. They could be representing any type of data, such as numbers, strings, or objects.

For example, if we have two variables:

alpha = 10

beta = 10

Then, the statement "alpha = beta" is true, because both variables have the value of 10. However, if we have:

alpha = "hello"

beta = "world"

Then, the statement "alpha = beta" is false, because the two variables have different values ("hello" and "world", respectively).

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Answer:

4

Step-by-step explanation:

f(x)=3x+2-4

f(2)=3(2)+2-4

f(2)=6+2-4

f(2)=8-4

f(2)=4

Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

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The distance between the shores A and B is 250 meters.

Width of the river= D

Distance covered by boat A and B= a and b

Distance covered by A and B =Width of the river for the first meet.

D = a + b..............(1)

Hence:

b = 100 meters.............(2)

Sum of the distances traveled is 3times with width of the river  as  they both went 3 times after they first passed.

Second time= 50 meters

Hence:

3a = D+ 50...........(3)

Put the value of equation 2 into equation 1

3 ×100 = D+ 50

D=300-50

D =250 meters

Therefore the distance between the shores A and B is 250 meters.

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The value of the shaded area is approximately 34.907 square centimeters.

According to the description in statement we prepared a representation of the figure in the image attached below. The shaded area is equal to the area of the circle sector (\(A\)), in square centimeters:

\(A = \frac{\theta\cdot \pi \cdot R^{2}}{360}\) (1)

Where:

If we know that \(\theta = 40^{\circ}\) and \(R = 10\,cm\), then the area of the circle is:

\(A = \frac{(40)\cdot \pi\cdot (10\,cm)^{2}}{360}\)

\(A\approx 34.907\,cm^{2}\)

The value of the shaded area is approximately 34.907 square centimeters. \(\blacksquare\)

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Since the box represents a proportional relationship, the empty box would be = 22.

When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.

For example, using the figures given above;

8 pages of notes = 16hours

1 page = 16/8 = 2 hours

Therefore, each page should be times by two to give the number of hours.

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Answer:

21/8 or 2.625

Step-by-step explanation:

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.

Starting with the given inequality:

y + 7 ≤ -1

We can begin by subtracting 7 from both sides of the inequality:

y + 7 - 7 ≤ -1 - 7

y ≤ -8

The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.

In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.

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The following question may be like this:

What is a solution of the inequality shown below? y+7≤-1

The data set is collected by ongoing business activities, and it is unknown whether it is based on a sample or a population.

a. Based on the given information, the best description of the data set is D. These data are collected by ongoing business activities.

This suggests that the data set is obtained through regular business operations, such as tracking sales prices and sizes of existing homes.

b. Based on the given information, it is not explicitly stated whether the data set is based on a sample or a population.

Without additional information, it is not possible to determine whether the data represents a subset (sample) or the entire group (population) of existing homes in the 7 regions over the past 50 years.

Therefore, the correct answer is C. There is no way to know whether the data was taken based on a sample or a population.

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An alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.

Therefore, an alternative that best describes the language represented by the following regular expression is (A) strings do not have 2 consecutive 0s.

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The complete question is given below:

What alternative best describes the language represented by the following regular expression?

(0∪ε)(1∪10)

Group of answer choices

(A) Strings do not have 2 consecutive 0s.

(B) Strings that only start with 1.

(C) Strings do not have 2 consecutive 1s.

(D) Strings that consist of alternating 0s and 1s.

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

13 cm

Step-by-step explanation:

Add up all of the sides and you should get 13.

3 + 3 + 3.5 + 3.5 = 13

The right angles are ∠FTI, ∠FTA, and ∠LOZ.

An angle measuring 90° is known as a right triangle.

Given the diagram of the circle with center F, diameter LZ, secant LT, and Lo.

Note that the angle between the tangent and the radius of the circle is always 90°, therefore, it follows:

∠FTI = ∠FTA = 90°

The angle made in a semicircle is always 90°, therefore, it follows:

∠LOZ = 90°

Hence, the right angles are ∠FTI, ∠FTA, and ∠LOZ.

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Answer:

a. AB=12.8km

b.BP=15.3km

c. CB=17.2km

d. angle θ=41.46°

e. PC =10.13 km

Step-by-step explanation:

Answer:

Step-by-step explanation:

You can find the hieght from slant height and side edge using this formula:

\(\sqrt{s^{2} - \frac{a}{2}^{2} }\)    where s is the slant height and a is the base length of one edge.

\(\sqrt{92.5^{2} - (\frac{24.2}{2} )^{2} }\)

\(\sqrt{8556.25 - 146.41}\)

\(\sqrt{8409.84}\)

91.705 in

can be rounded to 91.71 in

Answer:

B. +3 - 1 + 5 - 4

Step-by-step explanation:

The plus means going up and the negative means you are going down.

You are going up 3 floors (+3)

You are going down 1 floor ( -1)

You are going up 5 floors (+5)

You are going down 4 floors (-4)

Let me know if this helps!

Answer

6? im not sure i just need points

Step-by-step explanation:

215 divided by 32 is 6.7...

so try 215 divided by 6 then 35 will be left over

(a) The probability that a passenger who died was in the third class is 528 / 817.

we can find the probability by using the formula:

P(Third Class | Died) = P(Third Class and Died) / P(Died)

Where,

P(Third Class and Died) = the joint probability of a passenger being in third class and dying

P(Died) = the probability of a passenger dying regardless of class.

We can find P(Third Class and Died) by adding the no. of passengers in third class who died (528) and then dividing by the total no. of passengers (1317)

P(Third Class and Died) = 528 / 1317

Now we can find P(Died) by adding the no. of passengers who died (817) and dividing by the total no. of passengers (1317)

P(Died) = 817 / 1317

By using the values we got, we can find P(Third Class | Died):

P(Third Class | Died) = P(Third Class and Died) / P(Died) = 528 / 817

So, the probability that a passenger who died was in the third class is 528 / 817.

(b) The probability that a passenger survived given they were in first class is 201 / 324

we can find the probability by using the formula:

P(Survived | First Class) = P(Survived and First Class) / P(First Class)

Where,

P(Survived and First Class) = joint probability of a passenger surviving and being in first class.

P(First Class) = probability of a passenger being in first class regardless of survival.

We can find P(Survived and First Class) by adding the no. of passengers in first class who survived (201) and dividing by the total no. of passengers (1317)

P(Survived and First Class) = 201 / 1317

Now we can find P(First Class) by adding the no. of passengers in first class (324) and dividing by the total no.of passengers (1317):

P(First Class) = 324 / 1317

By using the values we got, we can find P(Survived | First Class):

P(Survived | First Class) = P(Survived and First Class) / P(First Class) = 201 / 324

So, the probability that a passenger survived given they were in first class is 201 / 324.

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Answer:

3

Step-by-step explanation:

all squares are rhombuses but not all rhombuses are squares

145 snow cones , the shack need to sell into order to make a daily profit of $215

Profit is the difference between the revenue and the expenses of a business or an individual. It is often represented as a monetary value and is used to measure the financial performance of a business. Revenue is the income generated by the sale of goods or services, while expenses are the costs incurred in order to generate that income. When revenue is greater than expenses, the resulting value is called a profit. On the other hand, when expenses are greater than revenue, it results in a loss. Profit is an important metric for businesses as it helps them to determine if they are financially successful and can be used to make strategic decisions such as investing in growth or cutting costs.

The equation you provided is the function of the profit y in terms of the number of snow cones sold x, y = $2x - $75.

To find the number of snow cones the shack needs to sell in order to make a daily profit of $215, we need to find the value of x that makes y = $215.

We can substitute the given value for the profit y into the equation and solve for x.

y = $215

y = $2x - $75

$215 = $2x - $75

$290 = $2x

x = $290/$2

x = 145

So the shack needs to sell 145 snow cones in order to make a daily profit of $215.

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Answer:

Step-by-step explanation:

it is 2x

To modify your code to print a 1 if there are infinitely many solutions and a 0 if there are no solutions, you can add some additional checks after performing Gaussian elimination.

After performing Gaussian elimination, check if there is a row where all the coefficients are zero but the corresponding constant term is non-zero. If such a row exists, it indicates that the system of equations is inconsistent and has no solutions. In this case, you can print 0.

If there is no such row, it means that the system of equations is consistent and can have either a unique solution or infinitely many solutions. To differentiate between these two cases, you can compare the number of variables (unknowns) with the number of non-zero rows in the reduced row echelon form. If the number of variables is greater than the number of non-zero rows, it implies that there are infinitely many solutions. In this case, you can print 1. Otherwise, you can print the unique solution as you would normally do in your code.

By adding these checks, you can determine whether the system of linear equations has infinitely many solutions or no solutions and print the appropriate output accordingly.

To determine whether a system of linear equations has infinitely many solutions or no solutions, we can consider the behavior of the system after performing Gaussian elimination. Gaussian elimination is a technique used to transform a system of linear equations into a simpler form known as the reduced row echelon form.

When applying Gaussian elimination, if at any point we encounter a row where all the coefficients are zero but the corresponding constant term is non-zero, it implies that the system is inconsistent and has no solutions. This is because such a row represents an equation of the form 0x + 0y + ... + 0z = c, where c is a non-zero constant. This equation is contradictory and cannot be satisfied, indicating that there are no solutions to the system.

On the other hand, if there is no such row with all zero coefficients and a non-zero constant term, it means that the system is consistent. In a consistent system, we can have either a unique solution or infinitely many solutions.

To differentiate between these two cases, we can compare the number of variables (unknowns) in the system with the number of non-zero rows in the reduced row echelon form. If the number of variables is greater than the number of non-zero rows, it implies that there are more unknowns than equations, resulting in infinitely many solutions. This occurs because some variables will have free parameters, allowing for an infinite number of combinations that satisfy the equations.

Conversely, if the number of variables is equal to the number of non-zero rows, it indicates that there is a unique solution. In this case, you can proceed with printing the solution as you would normally do in your code.

By incorporating these checks into your code after performing Gaussian elimination, you can determine whether there are infinitely many solutions (print 1) or no solutions (print 0) and handle these cases appropriately.

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Answer:

6.2

Step-by-step explanation:

The length of the sides of a cube which has a volume of 238.328 cubic feet is; 6.2 feet.

Since , we know all sides of a cube are equal.

In essence, the volume of a cube is given by the formula;

where l = length of its sides.

Since, Volume, V = 238.328 ft³ = l³

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Answer: [0,+infiniti)

Step-by-step explanation:

Answer:

The result can be shown in multiple forms.

Exact Form: 4√3 = √48

Step-by-step explanation:

Answer:

Step-by-step explanation:

4(n + 10) = 34

4n + 40 = 34

If you need the rest...

4n = -6

n = -6/4

Answer:

Step-by-step explanation:

All triangles without exception, have 180 degrees.

x + 53 + 70 = 180                Add the left

x + 123 = 180                       Subtract 123 from both sides.

x + 123 - 123 = 180 - `123    Combine.

x = 57  

Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".

Here is an example of how you can implement the `binomialDistribution` function in C to calculate the probability of K successes in n trials with a given probability of success p:

```c

#include <stdio.h>

// Function to calculate the binomial distribution probability

float binomial Distribution(int K, int n, float p) {

   int i;

   float result = 1.0;

   // Calculate the binomial coefficient (n k)

   for (i = 1; i <= K; i++) {

       result *= (n - i + 1);

       result /= i;

   }

   // Multiply by p^K and (1 - p)^(n - K)

   result *= pow(p, K) * pow(1 - p, n - K);

   return result;

}

int main() {

   int K, n;

   float p, probability;

   // Input values from the user

   printf("Enter k value: ");

   scanf("%d", &K);

   printf("Enter n value: ");

   scanf("%d", &n);

   printf("Enter p value: ");

   scanf("%f", &p);

   // Calculate the binomial distribution probability

   probability = binomialDistribution(K, n, p);

   // Print the result

   printf("The answer is %f\n", probability);

   return 0;

}

```

In this example, we define the `binomialDistribution` function that takes three parameters: K (number of successes), n (number of trials), and p (probability of success). The function calculates the binomial coefficient (n k) and multiplies it by p^K and (1 - p)^(n - K) to obtain the probability.

In the `main` function, we prompt the user to input the values of K, n, and p. Then, we call the `binomialDistribution` function with these values and store the result in the `probability` variable. Finally, we print the result to the console.

Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".

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