Jonathan’s family took a road trip to the Grand Canyon.Jonathan fell asleep after they had travelled 260 miles. If the total length of the trip was 400 miles,what percentage of the total trip had they travelled when Jonathan fell asleep??

Step-by-step explanation:

− 1 − 9 + ( −15) + (− 8) + 3 [B.O.D.M.A.S rule]

= − 1 − 9 −15 − 8 + 3

= 3 - 1 - 9 - 15 - 8 (First and last subtraction)

= 3 - 33

= -30(Ans)

Answer:

-30

Step-by-step explanation:

Well we don't necessarily have to follow pemdas right now, because there is only addition and subtraction, and they are on the same level and they don't matter which order they are used in.

So, with that being said, let's go step by step. I could've done an easier way, but for the sake of this question, I will do it a way that is a bit longer.

So, -1-9= -10.

For the next number, if there is a + and then a () and there is a negative number in the parenthesis, forget about the + and just subtract 15.

-10-15= -25

Same for the next number. -25-8= -33

-33+3= -30

The easier method is just combining the negative numbers and adding/subtracting them and then combining the positive numbers and adding/subtracting them, and then combining both results to get your answer.

Anyways, hope this helped you! If so, please leave a rating and a thanks, and let me know if I was correct! (hopefully brainliest, but up to you) Have a great day!!

Answer:

The answer is B

Step-by-step explanation:

Because 2 in B answer is in hundreth while in 37.632 the value of number 2 is thousandth

Yes, this is true. Correlation between two variables, Y and X, can range from -1 to +1.

The correlation coefficient, ρYX, tells us the strength of the linear relationship between Y and X, and it ranges from -1 to +1. A correlation of -1 indicates a perfect negative linear relationship, while a correlation of +1 represents a perfect positive linear relationship. The value of 0 indicates that no relationship exists between the two variables.

The formula for covariance is Cov (Y, X) = σYX = E[(Y - μY)(X - μX)]. Therefore, the covariance between two variables also lies between -1 to +1. The covariance measures how two variables change with respect to each other. A positive covariance means that two variables are positively related, while a negative covariance indicates that two variables are inversely related. A zero covariance means that the two variables are independent of each other.

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There are 128 four-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7, with 7 appearing before 3).

To determine the number of 4-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7 with 7 appearing before 3), we can break down the problem step by step.

Step 1: Choose the positions of 3 and 7.

Since 7 must appear before 3, we have two possible cases:

Case 1: 7 is in the thousands place, and 3 is in the hundreds place.

Case 2: 7 is in the hundreds place, and 3 is in the thousands place.

Step 2: Determine the digits in the remaining two positions.

In the remaining two positions (tens and units place), we have eight possible digits to choose from (0, 1, 2, 4, 5, 6, 8, 9). This is because we have used the digits 3 and 7, leaving eight options for the remaining two positions.

Step 3: Calculate the total number of valid numbers.

For each case in Step 1, we multiply the number of choices from Step 2 to get the total count.

Case 1: 7 in thousands place, 3 in hundreds place.

In this case, we have 8 choices for the tens place and 8 choices for the units place. The total count for Case 1 is 8 * 8 = 64.

Case 2: 7 in hundreds place, 3 in thousands place.

Similarly, we have 8 choices for the tens place and 8 choices for the units place. The total count for Case 2 is also 8 * 8 = 64.

Step 4: Sum up the counts from both cases.

To get the final answer, we sum up the counts from both cases:

64 (Case 1) + 64 (Case 2) = 128.

Therefore, there are 128 four-digit numbers that satisfy the given conditions (exactly one digit 3 and exactly one digit 7, with 7 appearing before 3).

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Answer:

C

Step-by-step explanation:

f(a+2) = (3 + (a + 2) ) / ( (a + 2) - 3)

f(a + 2) = 3 + a + 2 / a + 2 - 3

f(a + 2) = (5 + a) / (a - 1)

Answer:

G = 6(2)^n

Step-by-step explanation:

a) At 1 month he will have 12 guppies, at 2 months he will have 24 guppies and at 3 months he will have 48 guppies.

b) G = 6(2)^n

This is following the exponential formula.

c) G = 6(2)^6.5 = 543 guppies

d) At this rate, there will be no room for the guppies to continue growing.

The square root of twenty-four would be plotted (A) between 4 and 5, but closer to 5 on a number line.

To find where the √24 would be plotted on the number line:

Therefore, the square root of twenty-four would be plotted (A) between 4 and 5, but closer to 5 on a number line.

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The correct question is given below:

Describe in words where the square root of twenty-four would be plotted on the number line.

(A) between 4 and 5, but closer to 5

(B) between 4 and 5, but closer to 4

(C) between 5 and 6, but closer to 5

(D) between 5 and 6, but closer to 6

Answer:

A.

Step-by-step explanation:

The probability that the sample mean of 128 adults is more than 70.3 kilogrammes is about 0.08%.

We can utilise the Central Limit Theorem to tackle this problem, which stipulates that given a high sample size, the distribution of sample means will be approximately normal, regardless of the form of the population distribution. The sample means' mean will equal the population mean, and the sample means' standard deviation (also known as the standard error) will equal the population standard deviation divided by the square root of the sample size.

Given that the population mean is 68 kilogrammes and the population standard deviation is 10 kilogrammes, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes must be calculated.

To begin, we first compute the standard error of the sample means:

Standard Error = Standard Deviation of the Population / Sample Size

= 10 / √128

= 0.8839

The z-score formula may then be used to calculate the z-score corresponding to a sample mean of 70.3 kilogrammes:

(sample mean - population mean) / standard error = z

= (70.3 - 68) / 0.8839

= 3.15

We may calculate the likelihood that the z-score is greater than 3.15 using a conventional normal distribution table or a calculator. Because the standard normal distribution is symmetrical, the likelihood of the z-score being more than 3.15 is the same as the likelihood of the z-score being less than -3.15.

According to a conventional normal distribution table, the probability associated with a z-score of -3.15 is roughly 0.0008.

As a result, the chance that the sample mean of 128 adults is more than 70.3 kilogrammes is roughly 0.0008, or 0.08%.

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The probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.

To solve this problem, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal, regardless of the shape of the population distribution. The mean of the sample means will be equal to the population mean, and the standard deviation of the sample means (also known as the standard error) will be equal to the population standard deviation divided by the square root of the sample size.

Given that the population mean is 68 kilograms and the population standard deviation is 10 kilograms, we need to calculate the probability that the sample mean of 128 adults is greater than 70.3 kilograms.

First, we need to calculate the standard error of the sample means:

Standard Error = Population Standard Deviation / √Sample Size

= 10 / √128

= 0.8839

Next, we can use the z-score formula to find the z-score corresponding to a sample mean of 70.3 kilograms:

z = (sample mean - population mean) / standard error

= (70.3 - 68) / 0.8839

= 3.15

Using a standard normal distribution table or a calculator, we can find the probability that the z-score is greater than 3.15. Since the standard normal distribution is symmetrical, the probability that the z-score is greater than 3.15 is the same as the probability that the z-score is less than -3.15.

From a standard normal distribution table, we find that the probability corresponding to a z-score of -3.15 is approximately 0.0008.

Therefore, the probability that the sample mean of 128 adults would be greater than 70.3 kilograms is approximately 0.0008, or 0.08%.

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Answer:

12.5 cups used

7.5 cups left

Step-by-step explanation:

Number of batches = 5

Cups of flour per batch = 2 1/2 cups

Initial amount of flour = 20 cup bag

After 5 batches ; number of cup used :

5 * 2 1/2 = 12.5 cups of flour

Change in amount of flour in bag :

(20 cups - 12.5 cups) = 7.5 cups

Answer: A and D

Step-by-step explanation:

Hopefully, I am correct! =)

I'm fully sure but maybe you add 12+40

The values of all sub-parts have been obtained.

What is binomial distribution?

The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure. It is used in probability theory and statistics.

As given,

Sample size, n = 9

P (doing a one-time fling), p = 0.05

q = 1 - p

q = 1- 0.05

q = 0.95

Binomial distribution:

P(X) = nCx*px*q^(n-x)

A) Evaluate the probability when no one has done a one-time fling.

P (no one has done a one-time fling) = P(0)

= 0.959

= 0.6302.

B) Evaluate the probability when at least one person has done a one-time fling.

P (at least one person has done a one-time fling) = 1 - P(no one has done a one time fling)

= 1 - 0.6302

= 0.3698.

C) Evaluate the probability when no more than two people have done a one-time fling.

P(no more than two people have done a one-time fling) = P(0) + P(1) + P(2)

= 0.6302 + 9x0.05x0.958 + 9C2 x 0.052x0.957

= 0.6302 + 0.2985 + 0.0629

= 0.9916.

Hence, the values of all sub-parts have been obtained.

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Answer: $85

Step-by-step explanation:

Não falo português mas tentarei ajudar.

Multiplique 6 2/3 e 3 1/7.

6 2/3 x 3 1/7 = 20 20/21

Dividir 20 20/21 e 5.

20 20/21 / 5 = 4 4/21.

Precisa de cinco latas de tinta.

5 x $17 = $85

Answer: Rotation

Step-by-step explanation:

From the figure , we can observe that both figure A and b are absolutely congruent.

To translate a figure to make congruent images , we use rigid motions (Translation, Reflection, Rotation)

It is Rotation because of we move Figure A 180 degrees clockwise about the fixed point O, we will get Figure B .

It cannot be reflection because both figures are not mirror images.

It cannot be translation because all points on Figure A is not moving , as point O remained at same position throughout this which is not possible in translation.

Answer:

I think it's c

Step-by-step explanation:

Well I believe that would mean that one coordinate would shift by five, c looks the most likely in this case.

I was actually surprised to see that statement A is correct

graphed around with desmos until I reconstructed f(x), then graphed f(x+4)

see screenshot

If the Porters also had a ($2,840) long-term capital loss, their investment interest expense deduction would be $5,160.

To calculate their investment interest expense deduction, we first need to determine their adjusted gross income (AGI). Their AGI is calculated by subtracting the investment expenses ($3,800) and the long-term capital loss ($2,840) from their total income, which is $186,000 + $5,020 = $191,020 - $3,800 - $2,840 = $184,380.

Next, we need to calculate their investment interest expense limitation. This is equal to their investment income, which is $5,020. Since their investment interest expense ($6,000) is greater than their investment income, their investment interest expense deduction is limited to the excess of investment interest expense over investment income, which is $6,000 - $5,020 = $980.

Finally, we need to adjust their investment interest expense deduction for the long-term capital loss. Since the Porters have a long-term capital loss, they can only deduct investment interest expense up to the amount of net investment income after taking into account the long-term capital loss. Their net investment income is $5,020 - $2,840 = $2,180. Therefore, their investment interest expense deduction is limited to $2,180, which is less than the amount of investment interest expense they incurred. Thus, their investment interest expense deduction is $2,180, plus the amount of investment interest expense they could not deduct due to the limitation, which is $980. Therefore, their total investment interest expense deduction is $3,160.

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There are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

In order to determine which treatment effects differ significantly from others, we need to make pairwise comparisons between all possible pairs of treatment groups. Let's consider an example with four treatment groups labeled A, B, C, and D.

To determine which treatment effects differ significantly from others, we need to compare the mean scores of each treatment group with the mean scores of every other treatment group. This means we need to make the following pairwise comparisons:

A vs B

A vs C

A vs D

B vs C

B vs D

C vs D

Therefore, there are 6 pairwise comparisons that need to be made in order to gain a complete understanding of which treatment effects differ significantly from others.

It's worth noting that when making multiple pairwise comparisons, there is an increased risk of making a Type I error (i.e., rejecting the null hypothesis when it is actually true) due to the multiple testing problem. To control for this, researchers may choose to adjust the significance level or use methods such as the Bonferroni correction to adjust the p-values of the individual tests.

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a) There are 450 3-digit even numbers.

b)There are 225 3-digit numbers with an odd sum of digits.

c)there are 4,500 5-digit even numbers that remain the same when their digits are reversed.

a) To determine the number of 3-digit even numbers, we need to consider the choices for each digit.

For the first digit, we have 9 choices (1 to 9) since the number cannot start with 0.

For the second and third digits, we have 10 choices each (0 to 9) since they can be any digit.

Since the number needs to be even, the last digit must be one of {0, 2, 4, 6, 8}. Therefore, there are 5 choices for the last digit.

To find the total number of 3-digit even numbers, we multiply the number of choices for each digit: 9 * 10 * 5 = 450.

Therefore, there are 450 3-digit even numbers.

b) To determine the number of 3-digit numbers with an odd sum of digits, we can consider the choices for each digit.

For the first digit, we have 9 choices (1 to 9) since the number cannot start with 0.

For the second and third digits, we have 10 choices each (0 to 9) since they can be any digit.

To ensure odd sum of digits, we can have one of the following combinations:- Odd + Odd + Odd = Odd

- Odd + Even + Odd = Odd

- Even + Odd + Odd = Odd

Therefore, the possible combinations for the sum of the second and third digits are: {1, 3, 5, 7, 9}.

For the first digit, there are no restrictions, so we have 9 choices.

For the second and third digits, we have 5 choices each (from the set {1, 3, 5, 7, 9}).

To find the total number of 3-digit numbers with an odd sum of digits, we multiply the number of choices for each digit: 9 * 5 * 5 = 225.

Therefore, there are 225 3-digit numbers with an odd sum of digits.

c) To determine the number of 5-digit even numbers that remain the same when their digits are reversed, we need to consider the choices for each digit.

For the first digit, we have 9 choices (1 to 9) since the number cannot start with 0.

For the second and fourth digits, we have 10 choices each (0 to 9) since they can be any digit.

For the third digit, since it needs to remain the same when reversed, it must be an even digit. Therefore, we have 5 choices (0, 2, 4, 6, 8) for the third digit.

For the fifth digit, it must be the same as the first digit to ensure the number remains the same when reversed. Therefore, there is only 1 choice the fifth digit.

To find the total number of 5-digit even numbers that remain the same when their digits are reversed, we multiply the number of choices for each digit: 9 * 10 * 5 * 10 * 1 = 4,500.

Therefore, there are 4,500 5-digit even numbers that remain the same when their digits are reversed.

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Answer:

The circumference of a circle with diameter 4 is 12.57.

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Answer:

true

Step-by-step explanation:

if you rewrite \(sec\left(\frac{\pi }{2}\:-x\right)\) with trigonometric identities:

\(sec\left(\frac{\pi }{2}\:-x\right)\)    \(=\frac{1}{\sin \left(x\right)}\)

\(\frac{1}{\sin \left(x\right)}\)  \(=\csc \left(x\right)\)

so, yes,  \(sec\left(\frac{\pi }{2}\:-x\right)\)  \(=\csc \left(x\right)\)

hope this helps!!

The radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

An area of a circle with two radii and an arc is referred to as a sector. The minor sector, which is the smaller section of the circle, and the major sector, which is the bigger component of the circle, are the two sectors that make up a circle.

Area of a Sector of a Circle = (θ/360°) πr², where r is the radius of the circle and θ is the sector angle, in degrees, that the arc at the center subtends.

In the question, we are asked to find the radius of the circle in which a sector has a central angle of 100° and the area of the sector is 50π.

From the given information, the area of the sector = 50π, the central angle, θ = 100°, and the radius r is unknown.

Substituting the known values in the formula Area of a Sector of a Circle = (θ/360°) πr², we get:

50π = (100°/360°) πr²,

or, r² = 50*360°/100° = 180,

or, r = √180 = 6√5.

Thus, the radius of the circle having the area of the sector 50π, and the central angle of the radius as 100° is 6√5 units.

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The factors that enter into the choice of a value for the smoothing constant in exponential smoothing are the The degree of smoothing desired , The amount of noise in the data , The length of the forecast horizon , The stability of the data

1. The degree of smoothing desired: A higher smoothing constant value will result in less smoothing, while a lower value will result in more smoothing.

2. The amount of noise in the data: If there is a lot of noise in the data, a higher smoothing constant value may be needed to reduce the impact of the noise on the forecast.

3. The length of the forecast horizon: A higher smoothing constant value may be needed for shorter forecast horizons, while a lower value may be needed for longer forecast horizons.

4. The stability of the data: If the data is relatively stable, a lower smoothing constant value may be appropriate, while a higher value may be needed if the data is more volatile.

In general, the choice of a value for the smoothing constant in exponential smoothing is a balancing act between reducing the impact of noise and accurately capturing the underlying trend in the data.

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There are 30 children in the choir

Number of people in the choir = 80

Number of women = 1/2 × 80 = 40.

Number of men = 1/4 × 40 = 10

Therefore, the number if children will be:

Men + Women + Children = 80

10 + 40 + n = 80

n = 80 - 40 - 10

n = 50

There are 30 children in the choir.

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Answer:

3

Step-by-step explanation:

80/2= 40= women

1/4 × 40= 10= men

40+10= 50 men and women

80-50= 30 children

30:10 simplified= 3:1

n=3

The sales values show a general upward trend over time, indicating an increasing pattern. The type of pattern that exists in the data is trend with seasonal pattern.

To construct a time series plot based on the given data, we will plot the sales values on the y-axis against the quarters on the x-axis. Here is the time series plot:

Year      Quarter    Sales

  1               1             6

  1               2            2

  1               3            3

  1               4            5

  2              1            6

  2              2           3

  2              3           5

  2              4           7

  3              1            7

  3              2           6

  3              3           6

  3              4           8

Based on the time series plot, we can observe a trend with seasonal pattern in the data. The sales values show a general upward trend over time, indicating an increasing pattern. Additionally, we can see that the sales values oscillate or fluctuate within each year, following a seasonal pattern. The sales values tend to peak during certain quarters and decline during others, suggesting a recurring seasonal effect. Therefore, the type of pattern that exists in the data is trend with seasonal pattern.

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Answer:

80

Step-by-step explanation:

im not sure i ever done this but 1x2=2 and 2x 40= 80

i dont know sorry im trying my bets