Which equation does the graph below represent

Answer:

£5.50

Step-by-step explanation:

82.50 / 15 = 5.5

Answer:

5.5

Step-by-step explanation:

you divide the 15 and 82.50

Answer:

Zeb will pay $119.84 per month from next year.

Step-by-step explanation:

Given

Monthly Payment of Zeb's health insurance = $107

Percentage increase = 12%

In order to find the insurance premium for next year we have to find the 12% of current insurance

\(increase = 12\%\ of\ 107\\= 0.12*107\\=12.84\)

Zeb will have to pay previous monthly insurance plus increase each month from next year

\(= 107+12.84 = 119.84\)

Hence,

Zeb will pay $119.84 per month from next year.

Answer:

8

Step-by-step explanation:

4(2)+3(b-4(2))-2(2)=8

9514 1404 393

Answer:

  -24

Step-by-step explanation:

We can simplify this to ...

  b^2 +3(b -b^2) -2a

  = b^2 +3b -3b^2 -2a

  = -2b^2 +3b -2a . . . . . . . simplified form

This can be made easier for evaluation by factoring out b.

  = (-2b +3)b -2a

Using the given values, this is

  = (-2(4) +3)(4) -2(2)

  = (-5)(4) -4

  = -24 . . . . value of the expression

Answer:

$1148 will be saved.

Step-by-step explanation:

Linear equation form: y=ax+b

Slope of the equation: (y2-y1)/(x2-x1), (150.50-80.50)/(7-3)= 70/4 = 35/2

So y=35/2x+b

Substitute x and why with (7, 150.50)

7=35/2 *150.5+b

b=28

The equation is 35/2x+28

There is 4 weeks in 16 months.

4*16= 64, 64 weeks.

Substitute 64 into x.

y=35/2 *64+28

y=1148

Hense, after 16 months, $1148 will be saved.

The calculated Kolmogorov-Smirnov test statistic for the given sample and null hypothesis is 0.2.

The KS test is used to compare a sample distribution with a specified distribution, typically a normal or uniform distribution.  In this case, we need to specify a null hypothesis that the sample data is drawn from the given probability density function.

Then we can calculate the KS test statistic by comparing the cumulative distribution function (CDF) of the sample data with the CDF of the specified distribution.

Assuming the null hypothesis that the sample data is drawn from the given probability density function, we can calculate the KS test statistic by comparing the sample CDF with the CDF of the given probability density function.

We first sort the sample data in ascending order: 0.1, 0.2, 0.5, 0.7, 1.3. Then we calculate the empirical cumulative distribution function (ECDF) of the sample data as follows: F(x) = (# of observations ≤ x) / (total # of observations).

For example, F(0.2) = 1/5 = 0.2, since there is only one observation (0.1) that is ≤ 0.2. Similarly, F(0.5) = 2/5 = 0.4, F(0.7) = 3/5 = 0.6, and F(1.3) = 5/5 = 1.0. The CDF of the given probability density function is F(x) = ∫[0,x] 4/(1+t) dt = 4[ln(1+x) - ln(1+0)] = 4ln(1+x).

We can then calculate the maximum absolute difference between the sample CDF and the specified CDF: D = max{|F(x) - 4ln(1+x)|}, for x in [0,1.3]. Using software or tables, we can find that D ≈ 0.382.

This value can be compared to the critical value of the KS test at a given significance level (e.g., α = 0.05) to determine if the null hypothesis can be rejected or not.

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The estimated probability is 0.0294

To estimate the probability of getting between 45 and 50 correct answers on the multiple-choice test, we can use the binomial probability formula and a calculator.

The binomial probability formula is given by P(X = k) = (nCk) * p^k * q^(n-k), where n is the number of trials, k is the number of successes, p is the probability of success on a single trial.

q is the probability of failure (1 - p), and nCk represents the number of combinations.

In this case, n = 160 (number of questions), p = 0.25 (probability of guessing a correct answer), and we want to find P(45 ≤ X ≤ 50), which means the probability of getting between 45 and 50 correct answers.

Using a calculator such as TI-83, TI-83 Plus, or TI-84, we can calculate the individual probabilities for each value of X (45, 46, 47, 48, 49, 50) using the binomial probability formula.

Then, we sum up these probabilities to find the total probability of getting between 45 and 50 correct answers.

By performing the calculations, we find that the estimated probability is 0.0294, rounded to four decimal places.

This means that with random guessing, there is approximately a 2.94% chance of getting between 45 and 50 correct answers on the multiple-choice test.

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Answer:

\(\large{\boxed{\sf 3x(3x + 1)}\)

Explanation:

\(\sf \rightarrow 9x^2 + 3x\)

Rewrite the expression

\(\sf \rightarrow 3x\cdot \:3x+3x\)

In this expression, the term 3x is a common factor. So take it out

\(\sf \rightarrow 3x(3x + 1)\)

The expression is factored completely

Answer:

1.25

Step-by-step explanation:

because you do 12.5 and divide by 10 and it equals 1.25

Answer: A & D

Step-by-step explanation: parallel lines never touch. if you graph all the equations, lines A & D don't touch each other.

Answer:

324, 900, 9

Step-by-step explanation:

When a shape has its size increased by a scale factor, the size of its lengths are multiplied by this scale factor, yet its area is actually multiplied by the scale factor squared. This is due to two lengths being multiplied to contribute to the area, not just one. If it was a volume, you would multiply by the scale factor cubed!

Onto the answer, just follow the advice above:

36 * 3^2 = 36 * 9 = 324 square inches,

36 * 5^2 = 36 * 25 = 900 square inches,

36 * 0.5^2 = 36 * 0.25 = 9 square inches.

Hope this helps :)

The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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The given series is equivalent to the sum of two p-series: ∑n^(-1/2) + ∑n^(-2). Where the first series converges since p1 = 1/2 > 0 and the second series also converges since p2 = 2 > 1.

To start, we can simplify the given series as:

sqrt(n+4)/n^2 = 1

Taking the reciprocal of both sides:

n^2/sqrt(n+4) = 1

Multiplying both sides by sqrt(n+4):

n^2 = sqrt(n+4)

Squaring both sides:

n^4 = n+4

This is a quadratic equation that we can solve using the quadratic formula:

n = (-1 ± sqrt(17))/2

Since we are only interested in positive integer values of n, we take the larger root:

n = (-1 + sqrt(17))/2 ≈ 1.56

Now that we have found the value of n that satisfies the equation, we can rewrite the given series in terms of p-series:

sqrt(n+4)/n^2 = (n+4)^(1/2) / n^2
= (1 + 4/n)^(1/2) / n^2

Using the formula for the p-series:

∑n^-p = 1/1^p + 1/2^p + 1/3^p + ...

We can see that the given series is equivalent to:

(1 + 4/n)^(1/2) / n^2 = n^(-2) * (1 + 4/n)^(1/2)
= n^(-p1) + n^(-p2)

Where p1 is the smaller value and p2 is the larger value of p that make up the two p-series.

We can find p1 and p2 by comparing the exponents of n on both sides of the equation:

p1 = 1/2
p2 = 2

Therefore, the given series is equivalent to the sum of two p-series:

∑n^(-1/2) + ∑n^(-2)

Where the first series converges since p1 = 1/2 > 0 and the second series also converges since p2 = 2 > 1.

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Answer:

The answer is 57 and 46

Step-by-step explanation:

Answer:

656.1

Step-by-step explanation:

0.81x810 (multiply)

Answer:

810/0.81= 1000

Step-by-step explanation:

Hi I hope this helped please mark as brainliest! :3

Answer:

$27,400.

Step-by-step explanation:

We know that the salesman makes $25,000 annually plus 6% commission on his total sales.

We also know that he sold $40,000 worth of trampolines this year.

So we can find out his commission by multiplying the value of sales with 6% commission rate.

Commission = 0.06 * $40,000 = $2400

To find out his total earnings we need to add his annual salary with commission earned.

Total earnings = $25,000 + $2400 = $27,400

So the salesman's total earnings for this year is $27,400.

The correct appropriate measure of variability for the data shown is,

⇒ The range is the best measure of variability and equals 10.

Given that;

The length of ribbons found at a seamstress are listed.

⇒ 2, 5, 8, 10, 11, 12

Hence, We get;\

The range is calculated by subtracting the smallest data point from the largest data point, which in this case is,

⇒ 12 - 2

⇒ 10.

Hence, The range is the best measure of variability for the given data, and its value is, 10.

While the mean and median are measures of central tendency that describe the average or typical value of the data, they do not provide information about the spread of the data.

The IQR (interquartile range) is also a measure of variability, but it is better used when dealing with skewed data.

Since the data in this case is not skewed, the range would be the most appropriate measure of variability.

Thus, The correct appropriate measure of variability for the data shown is,

⇒ The range is the best measure of variability and equals 10.

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1) Since we have the secant of theta, we can find out the cotangent using the following identity:

Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

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Answer:

a) 22:25 is the earliest time

b)15 min

Step-by-step explanation:

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

10:10(standard) = 22:10 (military)

22:10 -> 15min-> 22:25

Answer:

a) 22:25 is the earliest time

b)15 min

Because

Since the time is in military time you must add the time it takes her to get to the bus stop to 12. then the rest is self explainitory....

a) The forecast is approximately miles. b) the Mean Absolute Deviation (MAD) based on the forecast is approximately miles. c) The forecast for year 6 is approximately miles. d) the last forecast is 3,468 miles.

a) To calculate the forecast for year 6 using a 2-year moving average, we take the average of the mileage for years 5 and 4. This provides us with the forecasted value for year 6.

b) The Mean Absolute Deviation (MAD) for the 2-year moving average forecast is calculated by taking the absolute difference between the actual mileage for year 6 and the forecasted value and then finding the average of these differences.

c) When using a weighted 2-year moving average, we assign weights to the most recent and previous periods. The forecast for year 6 is calculated by multiplying the mileage for year 5 by 0.40 and the mileage for year 4 by 0.60, and summing these weighted values.

The MAD for the weighted 2-year moving average forecast is calculated in the same way as in part b, by taking the absolute difference between the actual mileage for year 6 and the weighted forecasted value and finding the average of these differences.

d) Exponential smoothing involves assigning a weight (α) to the most recent forecasted value and adjusting it with the previous actual value. The forecast for year 6 is calculated by adding α times the difference between the actual mileage for year 5 and the previous forecasted value, to the previous forecasted value.

In this case, with α=0.20 and a forecast of 3,100 miles for year 1, we perform this exponential smoothing calculation iteratively for each year until we reach year 6, resulting in the forecasted value of approximately 3,468 miles.

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Answer:

\(y=x+3\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

First, we could determine the slope (m). The slope is the \(\displaystyle\frac{rise}{run}\) of the line, or the number of units it travels up over the number of units it travels to the right.

Notice how each consecutive point moves up 1 unit and right 1 unit. This makes the slope of the line 1/1, which is just 1:

\(y=1x+b\\y=x+b\)

Now, to find the y-intercept, we must identify the value of y when the line crosses the y-axis.

The line crosses the y-axis at y=3, so therefore, the y-intercept is 3:

\(y=x+3\)

I hope this helps!

Answer:

They would have 4/8 left or 1/2 reduced

Step-by-step explanation:

Because they ate almost half then gave the last bit to the neighbor so they have 4/8 of there cake left or reduced 1/2 of their cake left

Answer:

2 4 5 8

Step-by-step explanation:

the numbers must be positioned in ascending order

Answer:

------------------------------------------------

Complete the square as follows:

The probability to answer 5 questions correctly from 14 true or false questions is 0.1222

The given situation represents a binomial experiment, where there are only two possible outcomes for each trial: success (answering correctly) and failure (answering incorrectly). To find the probability of a particular number of successes, we use the binomial probability formula:

P(x)= nCx × p^x × q^(n-x)

Where, n is the total number of trials, p is the probability of success on each trial, q is the probability of failure on each trial (1-p), and x is the number of successes desired.

n = 14 (total number of questions)

p = 1/2 (probability of answering correctly when guessing randomly), and q = 1/2 (probability of answering incorrectly when guessing randomly).

To find P(5), we substitute these values in the formula

P(5) = 14C5 * (1/2)^5 * (1/2)^9= 2002 * (1/32) * (1/512)= 2002 / 16384≈ 0.1222

Therefore, the answer is option D, 0.1222.

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Answer:

38

step by step explanation: