There are 365 days in a year and 24 hours in a day. An airport camera records for 18 hours and then automatically resets itself to start recording again how many times does the video camera reset itself in a year.
pls help

The number of time it take  Katherine to drive from home back to college is: 3 hrs 21 min.

Going home:

Rate =  65.1 mph , distance  = x miles ; time = distance /rate = x/ 65.1 hrs

Going to college:

Rate = 70.7 mph ; distance  = x miles ; time = x/70.7 hrs

Equation:

x/70.7+ x/ 65.1=  11

70.7x + 65.1x = 7 × 65.1 × 70.7

Combine like terms

135.8x = 32,217.99

Divide both side by 135.8x

x = 32,217.99/ 135.8

x = 237.25 miles

Home back to college

=  237.25 /70.7

=3.35 hrs

= 3 hrs 21 min

Therefore it take Katherine 3 hrs 21 min.

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Answer:

14x+10y

Step-by-step explanation:

(2x-5y)(7x-2y)

(2x*7x)(-5y*-2y)

Answer:

2720

Step-by-step explanation:

Given that,

Price of the ticket = 2828.80

To find,

The price before the increase = ?

Procedure:

Let the price before the increase be x

so,

x(100% + 4%) = 2828.80

⇒ 1.04x = 2828.80

⇒ x = 2828.80 ÷ 1.04

∵ x = 2720

Thus, the price before the increase was 2720.

The formula for calculating the effective annual rate of interest with quarterly compounding is:

(1 + r/4)^4 - 1 = A/P

where r is the quarterly interest rate, A is the final amount, and P is the principal.

In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.

So we have:

(1 + r/4)^4 - 1 = 3000/2000

(1 + r/4)^4 = 1.5

1 + r/4 = (1.5)^(1/4)

r/4 = (1.5)^(1/4) - 1

r = 4[(1.5)^(1/4) - 1]

To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:

effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%

Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.

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Answer: = 15x^2 + 25x

Step-by-step explanation: coz I juss know

Answer: D i hope this helps you

The total number of rounds that Hunter played would be = 2 rounds.

The total number of hours he has to spend at the Wally's Game World = 2.5 hours

The number of hours he spent playing arcade games, = 0.25hr

The number of hours he spent on the rest of the games = 2.5-0.25 = 2.25 hours

But each round of golf = 1 hour

The number of round of golf game he played approximately 2 rounds.

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An equation that models the balance y after x​ months

y = 1600 - xb

Solution :

models the balance = y

Month = x

Now,

Cost price: Cost price is also known as CP. cost price is the original price of an item. The cost is the total outlay required to produce a product or carry out a service. Cost price is used in establishing profitability in the following ways: Selling price (excluding tax) fewer costs results in the profit in money terms.

Cost price will be = $1,600.00

y = 1600 - x.b

Four months after he purchased the​ computer, his balance was ​$1,100

1100 = 1600 -  4 b

-500 = -4b

500= 4b

125 = b

seven months after he purchased the​ computer, his balance was ​$725

725 = 1600 - 7b

b= 125

An equation that models the balance y after x​ months

y = 1600 - xb

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To construct a function to calculate the BIC score for full covariance matrix and for diagonal covariance matrix, we need to follow these steps:

Step 1: Import necessary libraries and dataset We first import the necessary libraries and dataset. Here we are using the iris dataset from the scikit-learn library.

```import numpy as np import pandas as pdfrom sklearn.datasets import load_irisiris = load_iris()```

Step 2: Create functions for BIC calculation for full covariance matrix and diagonal covariance matrixWe then create two functions to calculate the BIC score for the full covariance matrix and the diagonal covariance matrix respectively.

```def bic_full(data, model, k, *args):    

k_params = (k**2 + k)/2  

n, p = data.shape    

ss = model.score(data, *args)    

bic = -2 * ss + k_params * np.log(n)    

return bic

def bic_diag(data, model, k, *args):    

k_params = k    

n, p = data.shape    

ss = model.score(data, *args)    

bic = -2 * ss + k_params * np.log(n)    

return bic```

Step 3: Fit Gaussian mixture models for full and diagonal covariance matrices We then fit the Gaussian mixture models for the full and diagonal covariance matrices respectively using the iris dataset.

```from sklearn.mixture import GaussianMixture

# Full covariance matrix model_full = GaussianMixture(n_components=3, covariance_type='full', random_state=0).fit(iris.data)

# Diagonal covariance matrix model_diag = GaussianMixture (n_components=3, covariance_type='diag', random_state=0).fit(iris.data)```

Step 4: Calculate BIC scores for both models Finally, we calculate the BIC scores for both models using the bic_full() and bic_diag() functions we created earlier.```bic_full(iris.data, model_full, 3) bic_diag(iris.data, model_diag, 3)```

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Answer:

Negative correlation.

Step-by-step explanation:

Negative correlation means that as x increases, y decreases

Positive correlation means that as x increases, y also increases.

No correlation means that neither of the two above cases happens.

In the graph, we can see that on the right (when x is negative) the general y values are larger.

As x increases, the y-values decrease.

(Particularly, we could adjust these data with a linear equation with a negative slope)

Then this is a negative correlation.

Answer:

D

Step-by-step explanation:

The boxes with whole numbers in them written as coordinates:

(-4, -11)

(8, -8)

we know gradient is rise over run, or (y2 - y1) / (x2 - x1)

gradient = (-8 - -11) / (8 - -4)

gradient = 3 / 12

gradient = ¼

Answer:

B

Step-by-step explanation:

always remember that the slope is the ratio "y coordinate change / x coordinate change".

in the table we see that when x increases by 3, y increases by 3/4 (= 0.75).

this impression is confirmed by the last step, as x increases by 6, and y by 1.5 = 6/4.

so, the slope is

3/4 / 3 = 1/4

or

6/4 / 6 = 1/4

so, it is 1/4.

Answer:

180

Step-by-step explanation:

If she received requests for 150 tickets, and that is 120% of what they have, you would find 20% of 150. You would do this because 100% of 150 is 150, now you need to add the other 20%, so you have to find 20% of 150. Which is 30. You would then add that to 150 sine it is 120% of what they have. So, they have 180 tickets

The solution of the system of equations is (2, 1).

Here we have the system of equations:

y = 2x - 3

y = -x + 3

To solve the system of equations graphically, we need to graph both of these lines in the same coordinate axis and then find the point where the lines intersect.

That point will be the solution of the system.

On the image at the end you can see the graph of the system of equations, there we can see that the solution is (2, 1).

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Answer:

$10

Step-by-step explanation:

1000 divided by 100 = 10

so $10  is the answer

then 100 tickets = $1000

PLEASE MARK BRAINLIEST AND GIVE 5 STARS.

The bank should sample 429 customers.

To determine the number of customers that should be sampled, we need to use the formula for sample size calculation in estimating a population mean. The formula is given by:

n = (Z * σ / E)^2

Where:

n = sample size

Z =  corresponding to the desired level of confidence (98% confidence corresponds to a z-score of approximately 2.33)

σ = population standard deviation

E = desired margin of error

Plugging in the given values, we have:

n = (2.33 * 300 / 89)^2

n ≈ 429

Therefore, the bank should sample approximately 429 customers.

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Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.

Standard deviation is calculated as follows:

p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8

Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.

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The accurate solution is that the probability of the proportion of nearsightedness of at least 0.09 is approximately 0.0324 or 3.24%.

There are a few steps to answer this question about probability with the proportion of nearsightedness:

1. Define the variable: Let p be the true proportion of children with nearsightedness.

2. Check the conditions for using the normal approximation to the binomial distribution: np = 356 × 0.09 = 32.04 and n(1 - p) = 356 × 0.91 = 323.96, both greater than or equal to 10.

3. Calculate the z-score using the formula: z = (x - np) / √(np(1 - p)), where x = 0.09 × 356 = 32.04.

4. Find the probability using a calculator.

The probability that 356 randomly selected children will have a proportion of nearsightedness of at least 9% is approximately 0.0324, or 3.24%.

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Answer:

c

Step-by-step explanation:

got it right

The formula can be rearranged as x=(y - y1)/m + x1. Therefore, option C is the correct answer.

The given formula is (y - y1) = m(x - x1).

We need to solve the given formula for x.

Solve for x is all related to finding the value of x in an equation of one variable that is x or with different variables like finding x in terms of y. When we find the value of x and substitute it in the equation, we should get L.H.S = R.H.S.

Now, we can solve the given formula as follows:

(x - x1)= (y - y1)/m

⇒x=(y - y1)/m + x1

Therefore, option C is the correct answer.

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Answer:

\(7x+4\)

Step-by-step explanation:

1) Collect like terms.

\((11x-4x)+(6-2)\)

2) Simplify.

\(7x+4\)

Thanks!

Answer:

7x + 4

Step-by-step explanation:

11x + 6 -4x -2 Combine like terms

7x + 4

To determine how many pieces of the press must be purchased, we need to consider the production rate, operating hours, efficiency, and scrap rate.

Number of units processed per day = 10,000

Machine efficiency = 95%

Punching operation time = 10 seconds

Number of shifts per day = 2

Number of hours per shift = 8

To calculate the required number of presses, we can use the following formula:

Number of presses = (Number of units processed per day / (Machine efficiency * Number of shifts * Number of hours)) * (Punching operation time / 3600)

Number of presses = (10,000 / (0.95 * 2 * 8)) * (10 / 3600) = 52.08

Therefore, approximately 52 presses would be needed to meet the production requirements.

If the press has a scrap rate of 10%, we need to consider the effect of scrapped units on the required number of presses.

Number of scrapped units per day = 10,000 * 0.10 = 1,000

Number of units that can be reworked = 1,000 * 0.70 = 700

To modify the formula for the new scenario, we subtract the reworked units from the total units processed per day:

Number of units processed per day (after rework) = 10,000 - 700 = 9,300

Number of presses (after considering scrap and rework) = (9,300 / (0.95 * 2 * 8)) * (10 / 3600) = 48.48

Therefore, approximately 48 presses would be needed when considering the scrap rate and rework capability.

The new answer is different from Exercise 11 because the scrap rate reduces the effective production rate, resulting in a lower requirement for punch presses. By accounting for scrap and rework, the company can optimize its resource allocation and production planning to meet the desired output while considering the potential loss due to scrap.

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The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

What is derivative?

The derivative of a function in calculus measures the function's sensitivity to changes in its input variable. Specifically, at a particular point, it represents the function's rate of change with respect to its input variable at that moment.

The derivative of a function f(x) at a point x = a is defined as the limit of the difference quotient as h approaches zero:

f'(a) = lim (h → 0) [f(a + h) - f(a)] / h

This limit represents the instantaneous rate of change or slope of the function at the point x = a. The difference quotient is the change in the function value divided by the change in the input variable (or the distance between two points on the graph of the function).

The derivative is a fundamental concept in calculus, and it has many applications in various fields of science, engineering, and economics. It allows us to calculate important quantities such as velocity, acceleration, and marginal cost, and it is used to optimize functions and solve many real-world problems.

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The numbers that round to 540 when rounded to the nearest ten are (A) 545 and (C) 541. The correct options are A and D.

To determine which numbers round to 540 when rounded to the nearest ten, we need to look at the tens digit of each number. If the ones digit is 5 or greater, the tens digit is rounded up; otherwise, it is rounded down.

The correct option are:

(A) 545

(D) 535

Both numbers have a tens digit of 4, which means they will round down to 540 when rounded to the nearest ten.

(B) 534 has a tens digit of 3, so it will round down to 530.

(C) 541 has a tens digit of 4, but the ones digit is greater than 5, so it will round up to 550.

(E) 547 has a tens digit of 4, but the ones digit is greater than 5, so it will round up to 550.

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The unit of measurement used is A. Standard deviation is the unit of measurement used to describe how far a set of values are from the mean.

The degree of variation of data from the average, or mean, is gauged by the standard deviation. It provides us with information on the average amount by which each data point diverges from the mean.

A lesser standard deviation suggests that the data points gather closely around the mean, whereas a greater standard deviation signifies that the data points are further dispersed. To standardize a value, we subtract the mean from the value and then divide by the standard deviation.

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5) m<EBF= 474

6)m<ABC= 70

5) 20x-10= x+390

5) 20x-10 3x+15+60=474

20x-10=390  

3x+15= 24

plug in the x into the equation: (x+20)---> (20x20)=400

400-10= 390

6) 3x+1+2x+14= 28

3x= 9

2x=4

plug in the x into the equation: (3x+1)----> 2x+14= 28

7 is a bit confusing...

8 G and F is confusing me sorry...

this was so fu-cking hard sorry it took long...

Answer:

False

Step-by-step explanation:

The answer is False

The given statement is false, as the letters are used as keys in the dictionary.

The dictionary used in counting letters examples to keep track of letter frequencies uses the letters as the key and the count as the value. This means that for each letter encountered in a string, the value corresponding to the key (letter) in the dictionary is incremented by 1.

For example, if the string is "hello", the dictionary would initially be empty, and for each letter encountered in the string, the value for the corresponding key in the dictionary would be incremented by 1, resulting in a dictionary like {"h": 1, "e": 1, "l": 2, "o": 1}.

Therefore, the correct answer is false, as the letters are used as keys in the dictionary.

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