The box plots show the target heart rates of men 20-40 years olf and men 50-70 which statement is best supported by the information

Answer:

I believe it is 2 grams.

Step-by-step explanation:

there are 1000 grams in 1 kg, there are 500 crayons, therefore each crayon weighs 2 grams

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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Step-by-step explanation:

Greetings !

Firstly, write down the given expression

\(g(x) = 2x + 8x - 1\)

simplify it to be more accurate where 2+8=10

\(g(x) = 10x - 1\)

plug in -3 in the value of x and simplify the expression

\(g( -3 ) = 10( - 3) - 1 \\ g( - 3) = - 30 - 1\)

Thus, subtract the numbers

\(g( - 3) = - 31\)

Hope it helps!

We were told that Mr. Newman packed 16 large - size ornaments and 29 medium - size ornaments into a box. This means that the number of large and medium ornaments in each box is 16 + 29. Given that there were 13 boxes and x represents the total number of ornaments, the equation would be

x = (16 + 29)13

x = 45 * 13

x = 585

Option F is correct

Answer:

1) 1 1/2 ft.

2) 12 m.

3) 6 ft.

Step-by-step explanation:

1, 2) If the area is the same, then the sides are exactly half that of the surrounding square.

3) 9^2 = 81 ft^2 (or sqrt(81) = 9), if we take this 9 and subtract the 3 ft from it we will get the original side lengths.

Answer:

gradient (slope) = -1/2

Step-by-step explanation:

Using the gradient formula: rise over run

The 95% confidence interval for the population mean is 2.0279 < \(\mu\) < 2.7082,which indicates that we are 95% confident that the true population mean μ is contained by the interval : (2.0279, 2.3703).

We have the following information from the question:

A sample of 10 circuits from a large normal population has a mean resistance of 2.2 ohms.

Standard deviation = 0.35 ohms

We have to determine the 95% confidence interval for the true mean resistance.

Now, According to the question:

The critical value is \(\alpha =0.05\)

=> \(z_c=z_1_-_\alpha _/_2 =1.96\)

The corresponding confidence interval is computed as:

\(CI=(x-z_c(\frac{\sigma}{\sqrt{n} } ), x+z_c(\frac{\sigma}{\sqrt{n} } ))\)

\(CI=(2.2-1.6(\frac{0.35}{\sqrt{10} } ),2.2+1.6(\frac{0.35}{\sqrt{10} } ))\)

CI = (2.0279, 2.3703)

Therefore, the 95% confidence interval for the population mean is 2.0279 < \(\mu\) < 2.7082,which indicates that we are 95% confident that the true population mean μ is contained by the interval : (2.0279, 2.3703).

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The probability that Kylee wins at most 2 prizes in 3 attempts is 0.95625.

To answer this question, we can use the binomial distribution formula:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

where X is the number of times Kylee wins a prize, and P(X = k) is the probability of winning k prizes in 3 attempts.

Using the binomial distribution formula, we can calculate these probabilities using the following formula:

\(P(X = k) = (n choose k) × p^k × (1-p)^(n-k)\)

where n is the number of trials (in this case, 3), p is the probability of winning a prize (0.45), and k is the number of

successes we want to calculate the probability for.

Now, let's plug in the values for k = 0, 1, and 2:

\(P(X = 0) = (3 choose 0) × 0.45^0 × (1-0.45)^3 = 0.342

P(X = 1) = (3 choose 1) × 0.45^1 × (1-0.45)^2 = 0.4095

P(X = 2) = (3 choose 2) × 0.45^2 × (1-0.45)^1 = 0.20475\)

Now, we can add up these probabilities to find the probability that Kylee wins at most 2 prizes:

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.342 + 0.4095 + 0.20475 = 0.95625

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Yes, sure student can reject the cost.

A more detailed explanation of the answer.
To reject the claim that the mean cost of science textbooks are less than $200. Student must perform a statistical test. The most common test is the two-tailed hypothesis test, which involves setting up a null hypothesis (H0) and an alternative hypothesis (HA).

H0: Mean cost of science textbooks is no more than $200
HA: Mean cost of science textbooks is higher than $200

The student must then collect data and use the data to calculate the sample mean. The student can then compare the sample mean to the given mean in the claim. If the sample mean is significantly higher than the given mean, the student can reject the claim.

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Answer:

outlier

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

t=seconds. h=height

t=3

h=3+55t-16t^2

h=3+55(3)-16(3)^2

h=3+165-16*9

h=168-144

h=24 ft

The ball's height 3 seconds after it was kicked is 24 feet above the ground.

Given that a formula h = 3 + 55t-16t² describes a ball's height above the ground h, which has been kicked vertically upward from a height of 3 feet with an initial speed of 55 feet per second.

We need to find the height of the ball after 3 seconds.

To find the ball's height 3 seconds after it was kicked, we can use the formula provided:

h = 3 + 55t - 16t²

where h represents the height in feet and t represents the time in seconds.

To find the height after 3 seconds (t = 3), plug the value into the formula and calculate:

h = 3 + 55(3) - 16(3)²

Now, perform the calculations step by step:

h = 3 + 55(3) - 16(9)

h = 3 + 165 - 144

h = 24 feet

Hence the required height is 24 feet.

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The graphs cross at x=-1 and x=1. Those are the solutions to to the equation

We know that, If two functions are equal then there solution is the intersection point of the curves.

When we determine the graph the intersection points are (0,2) and (1,1.25).

The values of x of the intersection points are the solutions of the system

Using a graphing tool, there are two intersection points and therefore the solutions are x = -1 and x [ 1.

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Answer #1

2.25,2 5/8, 3.75, 4 3/7

Answer #2

5 1/2, 5.21, 4.6, 3 3/5

Answer:

7 seconds i thonk

Step-by-step explanation:

Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

Answer:

if two angles are supplementary angles, then the sum of their angle measures is equal to 180°.

Step-by-step explanation:

the if p statement is called the hypothesis of the conditional statement.

the then q statement of the conditional statement is called the conclusion.

The equation of the tangent to the curve at the point corresponding to t = -1 is y = 9x - 20.

Given the parametric equations \(x = t^9 + 1\) and\(y = t^10 - t\), we first substitute t = -1 into the equations to determine the coordinates of the point. This allows us to obtain the equation of the tangent to the curve at the point corresponding to the parameter value t = -1. The slopes of the tangent line are then determined by differentiating both equations with respect to t and evaluating them at t = -1. We can now express the equation of the tangent line using the point-slope form of a line.

Substituting t = -1 into the parametric equations \(x = t^9 + 1\) and \(y = t^10 - t\), we find that the point on the curve corresponding to t = -1 is (2, -2).

Differentiating \(x = t^9 + 1\) with respect to t gives \(dx/dt = 9t^8\), and differentiating\(y = t^10 - t\) gives \(dy/dt = 10t^9 - 1\).

Evaluating the derivatives at t = -1, we find that the slopes of the tangent line at the point (2, -2) are\(dx/dt = 9(-1)^8 = 9\)and\(dy/dt = 10(-1)^9 - 1 = -11\).

Using the point-slope form of a line, y - y1 = m(x - x1), where (x1, y1) is the point (2, -2) and m is the slope of the tangent line, we can write the equation of the tangent line as y + 2 = 9(x - 2). Simplifying the equation gives y = 9x - 20.

Therefore, the equation of the tangent to the curve at the point corresponding to t = -1 is y = 9x - 20.

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Based on the given condition formula

Answer:

Step-by-step explanation:

8*2= 2>answer

Answer:

BD=24

Step-by-step explanation:

I assigned my unkown sides of the triangles as x and y, where x = BD and y =AD.

I used pythagoras' theorem to find expressions for the the sides of the triangles in terms of x and y.

Both expressions had the term x^2 in them, so I equated expressions of x^2

From there i rearranged to find y.

Using my value of y, I found x.

I've given you my working so I hope that helps :>

By referring to the table that summarizes service times of dinners at a fast food restaurant, we can see that there are 49 individuals who are included in the summary.

We may calculate the total number of people by simply adding the frequencies:

9 + 20 + 13 + 4 + 3 = 49 people

A measure of an event's frequency is how often it occurs within a specific time frame. For clarity, it is sometimes referred to as temporal frequency and is distinct from angular frequency. The class interval is the distance between the top and lower class bounds of a frequency distribution table. Data are discrete pieces of factual information that are logged and used for analysis. Raw data is the foundation from which statistics are derived. Statistics are the results of data analysis, including its interpretation and presentation. The outcomes of data analysis, including its interpretation and presentation, are statistics. It includes techniques for data collection, evaluation, analysis, and interpretation, is the study and manipulation of data.

Note that the full question is:

Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?

Time (sec) Frequency

60 to 119 9

120 to 179 20

180 to 239 13

240 to 299 3

300 to 359 4

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Answer:

1.25 hours.

68.75 miles from the city

Step-by-step explanation:

Eltan's train (E) is travelling 65mph west.

Dmitri's train (D) is travelling 55mph west.

In terms of vectors, we can write E as 65E and D as 55W

The miles travelled by each is a function of time, T, in hours.

Each train's distance is:

 E:  T*65E

 D:  T*55W

They are 150 miles apart.  They will meet with the combined miles travelled is 150 miles.

 150 miles = T*65E + T*55W

150 miles = T(120 miles/hour)

T = (150 miles/120 miles/hour)

T = 1.25 hours

Make Demitri's train mile 0 and Eitan's train at mile 150 at the start.

They will have travelled the following miles in 1.25 hours:

Demitri:  (1.25hr)(55 m/hr) = 68.75 miles

Eitan:      (1.25hr)(65 m/hr) = 81.25 miles

Total = 150 miles

Dimitri is headed away from the city.  After 1.25 hours, his train will have travelled 68.75 miles when he sees Eitan passing him on the adjacent track (hopefull) headed into the city.  They meet 68.75 miles from the city.

Answer:

question one is B and question 2 is C

Step-by-step explanation:

The value of 9 ÷ 5 3 (9 divided by 5 divided by 3) is 1 remainder 1.To determine how many groups of 5 3 3 5 (5 divided by 3) are in 1 11, we can use the number line to visualize the division.

Starting at 0 on the number line, we can count in increments of 5 3 3 5 (5 divided by 3) until we reach or exceed 1 11.

On the number line, we can observe that there are two groups of 5 3 3 5 (5 divided by 3) that fit into 1 11. This means that 1 11 can be divided into two groups of 5 3 3 5.

Therefore, the answer to the question "How many groups of 5 3 3 5 (5 divided by 3) are in 1 11?" is 2.

Now, evaluating the expression 9 ÷ 5 3 (9 divided by 5 divided by 3), we perform the division from left to right:

9 ÷ 5 = 1 remainder 4

Then, taking the remainder 4 and dividing by 3:

4 ÷ 3 = 1 remainder 1.

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The point on the plane 4x - y + 4z = 40 nearest the origin is (-3.048, -0.762, 6.467)

Given data ,

To find the point on the plane 4x - y + 4z = 40 nearest the origin, we need to minimize the distance between the origin and the point on the plane.

The normal vector to the plane 4x - y + 4z = 40 is given by (4,-1,4). To find the perpendicular distance from the origin to the plane, we need to project the vector from the origin to any point on the plane onto the normal vector. Let's choose the point (0,0,10) on the plane:

Vector from origin to (0,0,10) on the plane = <0-0, 0-0, 10-0> = <0,0,10>

Perpendicular distance from the origin to the plane = Projection of <0,0,10> onto (4,-1,4)

= (dot product of <0,0,10> and (4,-1,4)) / (magnitude of (4,-1,4))

= (0 + 0 + 40) / √(4^2 + (-1)^2 + 4^2)

= 40 / √(33)

To find the point on the plane nearest the origin, we need to scale the normal vector by this distance and subtract the result from any point on the plane. Let's use the point (0,0,10) again:

Point on the plane nearest the origin = (0,0,10) - [(40 / √(33)) / √(4^2 + (-1)^2 + 4^2)] * (4,-1,4)

= (0,0,10) - (40 / √(33)) * (4/9,-1/9,4/9)

= (0,0,10) - (160/9√(33), -40/9√(33), 160/9√(33))

= (-160/9√(33), -40/9√(33), 340/9√(33))

Hence , the point on the plane 4x - y + 4z = 40 nearest the origin is approximately (-3.048, -0.762, 6.467)

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The process of evaluating a decision in the face of uncertainty by quantifying the likelihood and magnitude of an undesirable outcome is known as risk analysis

Risk analysis is define as the the process of identifying and analyzing potential issues that could negatively impact key business initiatives or projects. This process is done in order to help organizations avoid or mitigate those risks.

So, The process of evaluating a decision in the face of uncertainty by quantifying the likelihood and magnitude of an undesirable outcome is known as risk analysis

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Answer: Each point appears to give the same number of tickets

9 points give 54 tickets

Step-by-step explanation:

Each point appears to give the same number of tickets

To find the number of tickets, a point gives

divide the number of tickets by the number of points.

18/3 = 6

you get six tickets per point

find the number of points that give 54 tickets by dividing 54 by 6

54/6=9

9 points give 54 tickets

Explanation:

He bought 54 dollars in groceries and then pulled out another 25 dollars. Overall, 54+25 = 79 dollars was taken out of his account.

Because the account value has gone down by this much, it means we'll write -79 to indicate the total change in his account balance.

An integer represents the total change in his account balance is -79.

A savings account is a bank account at a retail bank. Common features include a limited number of withdrawals, a lack of cheque and linked debit card facilities, limited transfer options and the inability to be overdrawn.

Given that, Terrel uses his debit card to buy $54 worth of groceries. Later he withdraws $25 from his checking his account.

He bought 54 dollars in groceries and then pulled out another 25 dollars. Overall, 54+25 = 79 dollars was taken out of his account.

Because the account value has gone down by 79, integer to represent this is -79.

Therefore, an integer represents the total change in his account balance is -79.

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The finance charge on a $15,820 car loan if monthly payments were $325 for 60 months is: $3,680.

The total amount paid over 60 months is:

Total amount paid = $325/month x 60 months

Total amount paid = $19,500

The amount of interest paid is:

Amount of interest = $19,500 - $15,820

Amount of interest = $3,680

Therefore, the finance charge on the car loan is $3,680.

Therefore the finance charge is $3,680.

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