The Least Squares equation ý 95 +0.662(age), R² = 0.28 - predicts the systolic reading for blood pressure based on a persons age. 1) Find the predicted systolic reading for a 30 year old. Show the work for this result. 2) If the actual systolic reading for a 30 year old was 130, calculate the residual for the reading (y observed - y predicted). 3) Is the predicted systolic reading for 30 year old overestimates or underestimates the actually observed 130? 4) interpret the slope in the context of a data.

Answer:

Step-by-step explanation:

Confidence interval refers to a statistical measure that helps quantify the amount of uncertainty present in a sample's estimate of a population parameter.

This measure expresses the degree of confidence in the estimated interval that can be calculated from a given set of data. In this scenario, the task is to build a 95% confidence interval for the regression line's slope. The regression analysis output has already been given. According to the output given, the estimated regression model is:y = 25,000 + 9,000 x, where x represents the number of miles the car has been driven and y represents the car's selling price.

The formula to calculate the 95% confidence interval for the slope is:Slope ± t · SE, where Slope is the point estimate for the slope, t represents the critical t-value for a given level of confidence and degrees of freedom, and SE represents the standard error of the estimate. The value of t can be calculated using the degrees of freedom and a t-table. Here, the number of pairs in the sample size is 20, and the model uses two parameters.

Therefore, the degrees of freedom would be 20 - 2 = 18.The critical t-value for a 95% confidence interval and 18 degrees of freedom is 2.101. Using the formula given above, we can calculate the 95% confidence interval for the slope as follows:Slope ± t · SE= 9000 ± (2.101)(700) ≈ 9000 ± 1,467.7 = [7,532.3, 10,467.7]Therefore, the 95% confidence interval for the slope is [7,532.3, 10,467.7]. This means that we are 95% confident that the true value of the slope for this model falls within the interval [7,532.3, 10,467.7].

It implies that the price of the car increases by $7,532.3 to $10,467.7 for each mile driven by the car. In conclusion, a 95% confidence interval has been calculated for the regression line's slope, which indicates that the actual slope of the model lies between the range [7,532.3, 10,467.7].

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Precalculus is an example here, since x=−2 is a vertical type line, there is no  y-intercept as well as the slope is undefined.

The slope is undefined and all of the factors on the road have an x-coordinate of that (a few number). For example, if x = -2, then all factors alongside this line can have an x-coordinate of -2, making it a vertical line. y=−2 is a flat line crossing the factor at (0,−2) consequently the gradient is 0 and the the y intercept is -2.

A terrible slope approach that variables are negatively related; that is, whilst x increases, y decreases, and whilst x decreases, y increases. Graphically, a terrible slope approach that as the road on the road graph movements from left to right, the road falls. The x-coordinate -2 is represented throughout. This is NOT a function.

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We may conclude after answering the presented question that So Maeko  expression needs 1 15/16 pounds of sunflower seeds more to fill the feeder.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematics, and form. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

To find out how much more sunflower seeds

\(1 9/16 = (1 x 16) + 9 / 16 = 25/16\\3 1/2 - 1 9/16 = (7/2) - (25/16)\\(7/2) - (25/16) = (56/16) - (25/16) = 31/16\\31/16 = 1 15/16\\\)

So Maeko needs 1 15/16 pounds of sunflower seeds more to fill the feeder.

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Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

(a) To find the mean and standard deviation of the average number of moths in 60 traps, we can use the properties of the normal distribution and the central limit theorem.

The mean of the average number of moths in 60 traps is equal to the mean of the individual moth counts, which is 0.5.

The standard deviation of the average number of moths in 60 traps is equal to the standard deviation of the individual moth counts, divided by the square root of the sample size.

standard deviation = 0.7 / sqrt(60) = 0.0905

the mean and standard deviation of the average number of moths in 60 traps are 0.5 and 0.0905, respectively.

(b) To use the central limit theorem to find the probability that the average number of moths in 60 traps is greater than 0.4, we need to standardize the distribution of sample means using the Z-score formula:

Z = (sample mean - population mean) / (standard deviation / sqrt(sample size))

Substituting the given values, we have:

Z = (0.4 - 0.5) / (0.7 / sqrt(60)) = -1.94

Using a standard normal table or a calculator with a normal distribution function, we can find that the probability of getting a Z-score greater than -1.94 is approximately 0.9738.

The probability that the average number of moths in 60 traps is greater than 0.4 is approximately 0.9738 or 97.38%.

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Answer:

A. 25%

Step-by-step explanation:

If you multiply something by 0.75, you're multiplying it by 75%, and that means you're losing 25% each time, so the rate of decay is 25%

Answer:

A 25%

Step-by-step explanation

the first thing we want to do for this problem is look at the exponential decay formula. its y=a(1-b)^x. "y" represents the final amount, "a" represents the original amount, and "b" represents the decay factor.

in this situation, .75 is the decay factor and our original amount is 1000. so to find out the decay factor, we need to subtract .75 from 1. you would get .25. .25 in percentage form is 25%.

we can double check by putting .25 in the orginal exponential decay formula. y=1000(1-.25)^x. 1-.25 equals .75, so now the equation is the same as our original equation, y=1000(0.75)^x

Answer:

y = - \(\frac{24}{7}\)

Step-by-step explanation:

Substitute x = - 3 into the expression

2x - 7y = 30

2(- 3) - 7y = 30

- 6 - 7y = 30 ( add 6 to both sides )

- 7y = 36 ( divide both sides by - 7 )

y = \(\frac{36}{-7}\) = - \(\frac{36}{7}\)

The name of the polygon is (B) hexagon.

To find the name of the polygon:

Therefore, the name of the polygon is (B) hexagon.

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The complete question is given below:

A polygon is broken up into 4 non-overlapping triangles by drawing lines from one vertex to all other non-adjacent vertices. What is the name of the polygon?

A) Octagon

B) Hexagon

C) Heptagon

D) Quadrilateral

There is no mode in the data set 1, 2, 3, 4, 5,6,7,8,9.

A mode is defined as the value that has a higher frequency in a given set of values. It is the value that appears the most number of times.

Given that,

Data set= 1, 2, 3, 4, 5,6,7,8,9

By the definition of mode, it is clear that the most observed data in a data set will be the mode of that data set. And this can be zero also. And it can be more than zero.

In statistics, the mode is the most commonly observed value in a set of data. And for the normal distribution, the mode is always the same as the mean and median. But in many cases, the modal value of a data set will differ from the average value in the data.

If we take our question then 1, 2, 3, 4, 5, 6,7,8,9.

Here, no term is repeated more than once.

So, there is no most observed term.

So, there is no mode in this data.

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A within conditions pattern means the range of values is b. variability

The data or observations gathered inside a certain condition or context are included in the pattern of the condition. This could be done in accordance with a specific time period, group, experiment, or other set conditions. If the pattern seen under these circumstances displays a range of values, variability is present. In other words, the observations or data points are not constant or reliable. Instead, they show peaks and valleys or variations over the range of values.

This diversity may show up in several ways. For example, it might be seen, as a collection of unrelated data points lacking a discernible trend or pattern. It might also be seen as a large range of values, which would suggest that the data has a lot of dispersion or variance. However, it would not be seen as a within-conditions pattern indicating variability if data points or observations within the condition were reasonably stable, that is, they were closely grouped around a certain value or followed a steady trend.

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Complete Question:

A within conditions pattern meaning the range of values is -

a. the opposite of stability

b. variability

c. trend

d. level

Answer: after about 96 Minutes

Step-by-step explanation:

Answer:

r equals -4

Step-by-step explanation:

there's your help

The answers of the following questions are provided below with full solution respectively.

Coordinate geometry is a branch of mathematics that combines algebra and geometry.

It involves using algebraic equations to describe the positions and relationships between points in a geometric plane.

It is also known as analytic geometry.

a) To find the midpoint of AB, we can use the midpoint formula:

Midpoint = ( (x1+x2)/2, (y1+y2)/2 )

So, the midpoint of AB is:

Midpoint = ( (1+6)/2, (4+(-8))/2 )

= ( 3.5, -2 )

Therefore, the midpoint of AB is (3.5, -2).

b) To find the slope of AB, we can use the slope formula:

Slope = (y2-y1)/(x2-x1)

So, the slope of AB is:

Slope = (-8-4)/(6-1)

= -12/5

Therefore, the slope of AB is -12/5.

c) To find the length of AB, we can use the distance formula:

Distance = √[(x2-x1)² + (y2-y1)²]

So, the length of AB is:

Distance = √[(6-1)² + (-8-4)²]

= √[5² + (-12)²]

= √(169)

= 13

Therefore, the length of AB is 13.

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Using coordinate geometry, we can find the following:

AB's midpoint is: (3.5, -2)

The slope of AB is -12/5.

The length of AB is 13.

Algebra and coordinate geometry are combined in the field of mathematics known as coordinate geometry.

It includes describing the locations and connections between points in a geometric plane using algebraic equations.

Another name for it is analytical geometry.

We can apply the midpoint formula to determine AB's midpoint as follows:

\(Midpoint=\frac{(x_1+x_2)}{2} ,\frac{(y_1+y_2)}{2}\)

Therefore, AB's midpoint is:

Midpoint = ((1+6)/2, (4+(-8))/2)

= (3.5, -2)

Hence, the midpoint of AB is (3.5, -2).

We may use the slope formula to determine the slope of AB:

\(slope=\frac{(y_{2} -y_{1} )}{(x_{2} -x_{1} )}\)

So, the slope of AB is:

Slope = (-8-4)/ (6-1)

= -12/5

Hence, the slope of AB is -12/5.

We may use the distance formula to determine the length of AB:

\(Distance=\sqrt{[(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^2]}\)

So, the length of AB is:

Distance = √ [(6-1) ² + (-8-4) ²]

= √ [5² + (-12) ²]

= √ (169)

= 13

Therefore, the length of AB is 13.

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Set of ordered pairs (x, y) could represent a linear function

B= {(-1,2), (2, 1), (5,0), (8, -1)}

Option B is correct

Linear function is a function whose graph is a straight line .

Slope of a line tells us how steep the line is . Slope of a line is same at all the points.

Slope formula is \(\frac{y_2-y_1}{x_2-x_1}\)

Lets find out slope of any two points in each option

A = {(-6,3), (-3,0), (0, -3), (3,-5)}

\(\frac{0-3}{-3+6} =-1\\\frac{-5+3}{3-0} =-\frac{2}{3} \\\)

Slopes are not same

Lets check the second option

B={(-1,2), (2, 1), (5,0), (8, -1)}

\(\frac{1-2}{2+1} =\frac{-1}{3} \\\frac{0-1}{5-2} =\frac{-1}{3} \\\frac{-1-0}{8-5} =\frac{-1}{3} \\\)

The slope of any two points are equal .

slope are same . So it represents a linear function .

C = {(-4,-7), (-1, -3), (2.0), (5,3)}

\(slope =\frac{-3+7}{-1+4}=\frac{4}{3} \\slope =\frac{0+3}{2+1}=\frac{3}{3}=1\)

Slopes are not same . So it is not a linear function

D = {(-5, -8), (-2,-4), (1,1), (4,6)}

\(slope = \frac{-4+8}{-2+5}= \frac{4}{3} \\Slope = \frac{1+4}{1+2}= \frac{5}{3} \\\\slope = \frac{6-1}{4-1}= \frac{5}{3} \\\)

Slopes are not same . so it is not a linear function .

Option B is correct.

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Answer:

79

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

Answer:

Step-by-step explanation:

4.  2x + 1 = 17

5.  x-13 = 94

6.  x/2 = 7

7.  5x = 35

8.  x + 43 = 84

9.  x-18 = 36

10.  x = 8y

11.  x = y - 5

12.  x + (x+1) + (x+2) = 18

13.  x = y + 4

14.  2x + 8 = 24

Answer:

Step-by-step explanation:

a=0.5

we need to use the formula for exponential growth: A = P(1 + r/n)^(nt),the value of the quantity after 93 years is approximately $58,631.38$ to the nearest hundredth.

where A is the amount after time t,P is the initial quantity,r is the rate of growth per period, n is the number of compounding periods per year, and t is the time in years.

Let's plug in the given values into the formula: A = 980(1 + 0.095/1)^(1*93/7)

= 980(1.095)^13.29

https://brainly.com/question/12986460≈ 58,631.38Therefore, the value of the quantity after 93 years is approximately $58,631.38$ to the nearest hundredth.

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Answer:

47 zeros

Step-by-step explanation:

Answer:

B,D, and E

Step-by-step explanation:

Yes

Answer: 5.7 (rounded)

Step-by-step explanation: The formula to find the diagonal of a square is \(\sqrt{2\) * a, where a is a side length on the square. Since we are solving for half of a diagonal, we use this formula and divide our result by two. We start by multiplying root 2 by 8 and we get 11.31371, next we divide by two and we get 5.656855 which is 5.7 when rounded.

There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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Using proportions, it is found that:

The proportion of students who take intro stats at the university of Florida have never taken statistics before is 0.6697. Since this proportion is greater than 0.5, it can be said that it is more than half of them.

A proportion is the number of desired outcomes divided by the number of total outcomes.

In this problem:

The proportion is:

\(p = \frac{D}{T} = \frac{438}{654} = 0.6697\)

The proportion of students who take intro stats at the university of Florida have never taken statistics before is 0.6697. Since this proportion is greater than 0.5, it can be said that it is more than half of them.

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The process capability, Cp is calculated by dividing the upper specification limit minus lower specification limit by 6 times the process standard deviation.

This is the formula for the process capability.

Cp = (USL - LSL) / (6 * Standard deviation)

Where, Cp is process capability USL is the Upper Specification Limit LSL is the Lower Specification Limit Standard deviation is the process standard deviation.

The extrudate is subsequently cut into individual parts, and the extruded parts have a critical cross-sectional dimension = 12.50 mm with standard deviation = 0.25 mm. The mean of this distribution is the center line of the control chart and the critical cross-sectional dimension 12.50 mm is the target or specification value.

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Answer:

6

Step-by-step explanation:

The median is the middle of numbers in order.

5, 6, 6, 9, 10

So the number in the middle is 6.

Answer:

y = 2

Step-by-step explanation:

-2y + 1 = y-5

-2 - y = -5 - 1

-3y = -6

y = -6 ÷ -3

y = 2

Answer:

1166 is the answer to your suggestion

The volume of water in the cone-shaped paper cup is 25.12 cubic centimeters.

To calculate the volume of water in the cone-shaped paper cup, we can use the formula for the volume of a cone:

V = (1/3) * π * r^2 * h

Given:

Height of water (h) = 6 cm

Diameter of the top surface of water (2r) = 4 cm

First, we need to find the radius (r) of the top surface of the water. Since the diameter is given as 4 cm, the radius is half of that:

r = 4 cm / 2 = 2 cm

Now we can substitute the values into the volume formula and calculate the volume of water:

V = (1/3) * 3.14 * (2 cm)^2 * 6 cm

V = (1/3) * 3.14 * 4 cm^2 * 6 cm

V = (1/3) * 3.14 * 24 cm^3

V = 25.12 cm^3.

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Answer:

335 jours (335 days)

Step-by-step explanation:

1675 / 5 = 335