Simone buys slices of pizza that cost $1.25 each. She spends a total of $11.25 on them. Which
equation below could be solved to find the number of slices that Simone bought?

Answer: 144 Hamburgers were sold on Sunday.

Step-by-step explanation:

Hamburgers: 432 ÷ 3 = 144

Chessburgers : 432 - 144 = 288

the axis of symmetry for the function f(x) = 7 - 4x + x²2 is x = 2.

Why it is and what does symmetry mean?

To find the axis of symmetry of the quadratic function f(x) = 7 - 4x + x²2, we can use the formula:

x = -b / 2a

where a and b are the coefficients of the x²2 and x terms, respectively, in the quadratic equation ax²2 + bx + c = 0.

In the given function, a = 1 and b = -4. Substituting these values into the formula, we get:

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

Therefore, the axis of symmetry for the function f(x) = 7 - 4x + x²2 is x = 2.

Symmetry is a property that describes a balanced and consistent arrangement of parts or elements that are similar in size, shape, and position. In mathematics, symmetry refers to the idea that a geometric object, function, or equation remains unchanged after some transformation, such as a reflection, rotation, or translation.

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Using the z-distribution, the 95% confidence interval for the proportion is given as follows:

(0.4576, 0.5824).

A confidence interval of proportions is given by:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which:

In this problem, we have a 95% confidence level, hence\(\alpha = 0.95\), z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The other parameters for the interval are given as follows:

\(n = 246, \pi = 0.52\).

The lower and upper bound of the interval, respectively, are given by:

\(\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.4576\)

\(\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{246}} = 0.5824\)

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Hello!

the equation of the blue line is 3y + 0.5x

Answer:

There are 3.28084 feet per meter. So if you want to convert meters to feet using your own calculator, just multiply your number of meters by 3.28084.

Answer:

7: 7.75   8: 6.98

Step-by-step explanation:

Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.

To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:

n = (Z * σ / E)^2

where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.

For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.

n = (2.807 * σ / 1.5)^2

Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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Answer:

10

Step-by-step explanation:

Given polynomial:

\(3x^2y^3+8x^3y^7\)

The degree of a polynomial is the largest exponent in the function.

When a polynomial has more than one variable, add the exponents of each variable in each term.

3x²y³ has a degree of 5, since both exponents add up to 5.

8x³y⁷ has a degree of 10, since both exponents add up to 10.

So the polynomial has a degree of 10.

Answer:

660.4 mm

Step-by-step explanation:

Since 1 inch is equal to 25.4 millimeters, we can multiply 25.4 by 26 to see how many millimeters 26 inches is. You can also think of this as a proportion:

26:x = 1:25.4

26.4 times 26 is equivalent to 660.4, so we can conclude that 26 inches are equivalent to 660.4 millimeters.

If you have any further questions or need clarification on anything, let me know!

Answer:

Dont understand. Repeat question?

Step-by-step explanation:

The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.

The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.

Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.

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Answer:

Its C

Step-by-step explanation:

The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.

Here,

the two numbers' primary factors are as follows:

-25\(b^{2}\) + 15b

Common prime factors can be multiplied to determine the GCF:

=> -25\(b^{2}\)  = -(5)(5) * \(b^{2}\)

=> 15b = (5)(3)b

The expression can be factored in the following fashion because the GCF is 5b:

=> -(5)(5) * \(b^{2}\) +  (5)(3)b

=> (5b)(-5b+3)

Therefore , the solution of the given problem of equation comes out to be factor is (5b)(-5b+3).

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Answer:

a. 95.4

b. UCL = 96.07

LCL = 94.73

c.  Process is in control

Step-by-step explanation:

a. The computation of estimate mean is shown below:-

\(Estimate\ mean = \frac{\Sigma X}{N} \\\\ = \frac{1908.000}{20}\)

= 95.4

b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-

\(UCL = Mean + \frac{3\times \sigma }{\sqrt{Sample\ size} }\)

\(UCL = 95.4 + \frac{3\times (0.5)}{\sqrt{0.5} }\)

= 95.4 + 0.67082

= 96.07

\(UCL = Mean - \frac{3\times \sigma }{\sqrt{Sample\ size} }\)

\(UCL = 95.4 - \frac{3\times (0.5)}{\sqrt{0.5} }\)

= 95.4 - 0.67082

= 94.73

c. The explanation is shown below:-

From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,  

The Process is in control

the probability that the time between consecutive customers is less than 15 seconds is 0.4327

Mean u=0.59

We are supposed to find the probability that the time between consecutive customers is less than 15 seconds

u=1/λ

0.59min=1/λ

0.59*60=1/λ

λ=1/0.59*60

λ=0.02824

The cumulative distribution function is used to describe the probability distribution of random variables.

The cumulative distribution function :P(X≤x)=F(x)=1-e^-λx

We are supposed to find the probability that the time between consecutive customers is less than 15 seconds

P(X≤15)=F(15)=1.e^-0.02824*15

P(X≤15)=F(15)=0.4327

Hence the probability that the time between consecutive customers is less than 15 seconds is 0.4327

The probability that the time between consecutive customers is between ten and fifteen seconds is 0.9000.

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A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  =  $272,090

      A) - Calculate the Percentage of the Value Remaining After the Decrease

       B) - Calculate the NEW VALUE of the house

A) - The PERCENTAGE of the VALUE REMAINING AFTER the DECREASE

      100%  -  9%  =  91%

        0.91

B) - Calculate the NEW VALUE of the house:

NEW VALUE  =  OLD VALUE  *  REMAINING PERCENTAGE

NEW VALUE  =  299,000  *  0.91

A) - The NEW VALUE in terms of the old value is 0.91  times the old value.

B) - The NEW VALUE of the HOUSE is:  299,000  *  0.91  = $272,090

I hope it helps!

Answer:

Experiment 1 and 3 are clear binomial experiments.

Experiment 2 needs tweaking to be a binomial experiment.

Check Explanation.

Step-by-step explanation:

A binomial experiment is one in which

1) The probability of success doesn't change with every run or number of trials.

2) It usually consists of a fixed number of runs/trials with only two possible outcomes, a success or a failure.

3) The outcome of each trial/run of a binomial experiment is independent of one another.

Checking each of the experiments one at a time

- You observe the gender of the next 850 babies born at a local hospital. The random variable represents the number of boys.

For this experiment,

1) The probability of success doesn't change with every run or number of trials as it is a 50% chance that each child examined is a boy.

2) It consists of a fixed number of runs (850) with only two possible outcomes, success (if it's a boy) and failure (if it's a girl).

3) The probability of each trial being a boy is independent from all the other trials.

Hence, this experiment is a binomial experiment.

- You draw a marble 350 times from a bag with three colors of marbles. The random variable represents the color of marble that is drawn.

For this experiment,

1) If the marbles aren't being replaced after each draw, the probability of success, that is, picking a particular marble colour changes from trial to trial.

2) Although, it consist of a fixed number of runs/trials, there are more than two possible outcomes with 3 types of colours. Unless the experiment focuses on one colour and treats the other two colours as 'others', this condition too isn't satisfied.

3) Without replacement, the probability of success (picking a particular marble colour) in one trial isn't independent of the other trials.

This is not a binomial experiment as it doesn't satisfy all the required conditions to be one.

- Testing a cough suppressant using 820 people to determine if it is effective. The random variable represents the number of people who find the cough suppressant to be effective.

1) The probability of success doesn't change with every run or number of trials as it is the same chance that each person finds the cough suppressant to be effective.

2) It consists of a fixed number of runs (820) with only two possible outcomes, success (cough suppressant is effective) and failure (cough suppressant isn't effective).

3) The probability of each trial being a person that finds the cough suppressant to be effective, is independent from all the other trials.

Hence, this experiment is a binomial experiment.

Hope this Helps!!!

Comparing the median of each box-and-whisker plot, the type of transportation that is LEAST likely to take more than 30 minutes is: d. train.

How to Interpret a Box-and-whisker Plot?

In order to determine the transportation that is LEAST likely to take more than 30 minutes, we have to compare the median of each data set represented on the box-and-whisker plot for each transportation.

The box-and-whisker plot that has the lowest median would definitely represent the the transportation that is LEAST likely to take more than 30 minutes, since median represents the typical minutes or center of the data.

Therefore, from the box-and-whisker plots given, the one for train has the lowest median. Therefore train would LEAST likely take more than 30 minutes.

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No, the standardized test statistic t does not indicate that you should reject the null hypothesis.

The value of the test statistic t only tells you how much of an effect the independent variable has on the dependent variable. To determine whether to reject the null hypothesis, you must compare the value of t to a critical value based on the sample size, the level of significance, and the degrees of freedom.

The standardized test statistic t does not indicate whether you should reject the null hypothesis. To determine this, you must compare the value of t to a critical value based on the sample size, level of significance, and degrees of freedom.

No, the standardized test statistic t does not indicate that you should reject the null hypothesis.

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Answer:

k -= 1

Step-by-step explanation:

Answer:

(a) The average baggage-related revenue per passenger is $15.70.

(b) The standard deviation of baggage-related revenue is $19.95.

(c) The expected revenue for 120 passengers is $1,884.

Step-by-step explanation:

Let the random variable X represent the baggage-related revenue per passenger.

It is provided that the baggage fees is $25 for the first bag and $35 for the second.

The probability model is:

    X :   0         25      60

P (X) : 0.54    0.34    0.12

(a)

Compute the average baggage-related revenue per passenger as follows:

\(E(X)=\sum {X\times P (X)}\)

         \(=(0\times 0.54)+(25\times 0.34)+(60\times 0.12)\\\\=0+8.50+7.20\\\\=15.70\)

Thus, the average baggage-related revenue per passenger is $15.70.

(b)

Compute the standard deviation of baggage-related revenue as follows:

\(E (X^{2})=\sum X^{2}\times P(X)}\\\\=(0^{2}\times 0.54)+(25^{2}\times 0.34)+(60^{2}\times 0.12)\\\\=0+212.50+432\\\\=644.5\\\)

\(SD(X)=\sqrt{E(X^{2})-(E(X))^{2}}\)

           \(=\sqrt{644.5-(15.7)^{2}}\\\\=19.950188\\\\\approx 19.95\)

Thus, the standard deviation of baggage-related revenue is $19.95.

(c)

Compute the expected revenue for 120 passengers as follows:

\(E(R)=n\times E(X)\)

        \(=120\times 15.7\\\\=1884\)

Thus, the expected revenue for 120 passengers is $1,884.

Answer:

Reproduction in Gymnosperms: Gymnosperms are heterosporous and sexual reproduction is oogamous type. In living gymnosperms the reproductive structures are arranged in the form of strobili or cones (except the ovulate structures of Cycas).

Step-by-step explanation:

The volume of the cylinder would be 2120.6\(units^3.\)

To find the volume of a cylinder, you need to use the formula:

Volume = π x \(radius^2\) x height

Where π (pi) is a mathematical constant approximately equal to 3.14159, radius is the distance from the center of the cylinder to its edge, and height is the distance from one end of the cylinder to the other.

To apply this formula, you need to know the values of the radius and height of the cylinder. Once you have these values, simply substitute them into the formula and solve for the volume.

For example, if the radius of a cylinder is 5 units and the height is 27 units, the volume of the cylinder would be:

Volume = π x \(radius^2\)x height

Volume = 3.14159 x\(5^2\)x 27

Volume = 2120.6 \(units^3\)

Therefore, the volume of the cylinder would be 2120.6\(units^3.\)

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The correct solution for the expression 2/5 + 3/8 is given as follows:

31/40.

The expression for this problem is defined as follows:

2/5 + 3/8.

They have different denominators, hence the common denominator is given by the least common factor of 5 and 8, which is of 40.

Hence:

Then the simplified expression is given as follows:

2/5 + 3/8 = (16 + 15)/40 = 31/40.

The expression for this problem is defined as follows:

2/5 + 3/8.

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