Use interval notation and ∪ to express the following:

The set of all numbers less than or equal to −3 or greater than or equal to −2

There is evidence of a negative correlation between systolic blood pressure and heart rate because the sample correlation is -0.057. This value indicates that there is a small negative correlation between systolic blood pressure and heart rate.

There is evidence of a negative correlation between systolic blood pressure and heart rate. In a sample of 200 patients, a sample correlation of -0.057 was found. Correlation is a statistical measure used to assess the degree to which two variables are related to one another. A correlation coefficient ranging from -1 to 1 is used to represent this relationship. A negative correlation exists when two variables move in opposite directions.

It means that as one variable increases, the other variable decreases or vice versa.In the given case, there is evidence of a negative correlation between systolic blood pressure and heart rate because the sample correlation is -0.057. This value indicates that there is a small negative correlation between systolic blood pressure and heart rate. Systolic blood pressure is the amount of pressure exerted by blood against the walls of the arteries when the heart pumps. It is the top number in a blood pressure reading.

When your heart beats and pushes blood out, the systolic pressure is created.Heart rate is the number of times your heart beats per minute. It is also known as the pulse rate. It represents the number of times your heart contracts and relaxes with each heartbeat.

Learn more about Sample correlation

brainly.com/question/14018989

#SPJ11

Answer:

x= 154°

Step-by-step explanation:

since the interior angle sum of a triangle is 180°, we can subtract the interior angles we already have from 180°

so, 180-108-46= 26° which gives us our missing interior angle.

then, we see the straight line is 180° where we need x.

so, we subtract 26 from 180 which leaves us with 154.

therefore, x= 154°

The second approximation to the root of the equation x³ - 9 = 0 using Newton's method with the initial approximation x₁ = -2 is approximately x₂ = -0.5833.

To apply Newton's method to find the second approximation, x₂, to the root of the equation x³ - 9 = 0, we follow these steps:

Determine the function and its derivative.

Let f(x) = x³ - 9 be the given equation. The derivative of f(x) is f'(x) = 3x².

Choose an initial approximation.

In this case, the given initial approximation is x₁ = -2.

Apply Newton's method formula.

The formula for Newton's method is:

xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)

We start with x₁ = -2 and substitute it into the formula to find x₂:

x₂ = x₁ - f(x₁) / f'(x₁)

Calculate x₂.

Substituting the values into the formula:

x₂ = -2 - ( (-2)³ - 9 ) / (3(-2)²)

= -2 - ( -8 - 9 ) / (3 * 4)

= -2 - ( -17 ) / 12

= -2 + 17 / 12

= -2 + 1.4167

= -0.5833

To know more about second approximation, refer to the link below:

https://brainly.com/question/31989824#

#SPJ11

Yes, intermediate-value theorem be used to show there is a solution for the equation f(x) = 0 because f(3) < 0 and f(5) > 0. (C)

The intermediate-value theorem states that if a continuous function f(x) takes on two different values, say a and b, at two points in an interval, then it must take on every value between a and b at some point in that interval.

In this case, f(3) < 0 and f(5) > 0, which means that there must be some point x in the interval [3, 5] such that f(x) = 0. This demonstrates that the intermediate-value theorem can be used to show that there is a solution for the equation f(x) = 0 on the interval [3, 5].

To know more about intermediate-value theorem click on below link:

https://brainly.com/question/29712240#

#SPJ11

(a) True. When constructing a confidence interval for a population mean, a larger sample size leads to a more precise estimation of the true population mean.

This is because larger sample sizes reduce the standard error, which is the measure of uncertainty in the sample mean estimate. With a smaller standard error, the confidence interval becomes narrower, providing a more precise range of values likely to contain the true population mean. Thus, all else being equal, a larger sample size results in a more precise estimation of the population mean.

(b) False. A p-value of .002 indicates that the observed data is statistically significant at a significance level of .05 (commonly used threshold). Rejecting the null hypothesis implies that the observed data is unlikely to have occurred by chance if the null hypothesis were true. However, it does not provide direct evidence for the alternative hypothesis. Instead, it suggests that there is evidence against the null hypothesis, leading to its rejection. Further analysis and interpretation are required to draw conclusions about the alternative hypothesis based on the specific context and research question.

To know more about mean visit:

brainly.com/question/31101410

#SPJ11

The probability that a particular death is due to an automobile accident is 4%

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

total deaths in recent years = 1158

automobile accident resulted = 46 accidents

cancer deaths resulted = 226 accidents

heart disease deaths resulted = 388 accidents

the probability that a particular death is due to an automobile accident = 46/1158

                     = 0.04 or 4 % chances

learn more about probability here :

brainly.com/question/11234923?

#SPJ4

Answer:

X=295.6

Step-by-step explanation:

I took the test

Answer:

295.6

Step-by-step explanation:

Given:

Kelly spends 5 hours each week playing softball and 4 hours each week practicing her violin.

To find:

The ratio of hours spent practicing violin to hours spent playing softball three different ways.

Solution:

We have,

Time spend on Softball = 5 hours

Time spend on Violin = 4 hours

The ratio to hours spent practicing violin to hours spent playing softball is

\(\text{Required ratio}=\dfrac{\text{Time spend on Violin}}{\text{Time spend on Softball}}\)

\(\text{Required ratio}=\dfrac{4}{5}\)

It can be written as

\(\text{Required ratio}=4:5\)

\(\text{Required ratio}=4\text{ to }5\)

Therefore, the ratio of hours spent practicing violin to hours spent playing softball three different ways are \(\dfrac{4}{5}, 4:5\) and 4 to 5.

Therefore , the solution of the given problem of surface area comes out to be figure's surface size is 38 square units.

Its total size can be determined by figuring out how much room would be required to completely cover its exterior. When choosing something comparable for a rectangular design, the surroundings is taken into account. The total measurements of something are determined by its surface area. How much water a cuboid can contain depends on how many sides are present between its four trapezoidal angles.

Here,

We must divide the figure into two smaller forms, a rectangle and a right triangle, in order to calculate its area.

The rectangle's size is: because it is 8 units long and 4 units wide.

=> 32 square pieces =  (8 times 4)

The right triangle's area is: since it has a base of 4 units and a height of 3 units.

=> 4 + 3 + (1/2) = 6 square units

We combine the areas of the triangle and the rectangle to get the area of the entire figure:

=> 32+ 6 = 38 square units

The figure's surface size is 38 square units as a result.

To know more about area visit:

https://brainly.com/question/2835293

#SPJ1

To find the length of the third side of the triangular birthday card, Sarah can use the Triangle Inequality Theorem, which states that the sum of any two sides of a triangle must be greater than the third side.

In other words, 4 + 9 > x, so 4 + 9 > x is the inequality that is true.

The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the third side. This means that for any triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This theorem is useful for determining the possible lengths of the sides of a triangle, as well as for proving that a set of three lengths cannot form a triangle.

Learn more about the Triangle Inequality Theorem:

https://brainly.com/question/1163433

#SPJ4

Answer:

C

Step-by-step explanation:

Got it right on edge 2022

Answer:

B is the correct answer because this is stem and leaf

Step-by-step explanation:

the range of it ranges from 61, 92 because it starts at 61 and ends at 92.

On solving the provided question, we can say that the average daily balance = $450 and the end day average =  = $533

In mathematics, the average value of a set of integers is the result of dividing the total number of values by the number of values to arrive at the average. If you want to calculate the average value for a dataset, add up all the values and then divide that total by the number of values. The average in mathematics is the average value derived from adding all the numbers in a data collection and dividing the result by the total number of numbers. Take the following dataset as an example: 8, 9, 5, 6, 7, 8 + 9 + 5 + 6 + 7, 35/5 = 7, and the average is 7.

here,

the average daily balance = 500+400//2 = 900/2 = $450

the end day average = 450+100+10/3 = 553.3333333333 = $533

To know more about average visit:

https://brainly.com/question/2906096

#SPJ1

You expect to pick an apple or a banana 90 times

From the question, we have the following parameters that can be used in our computation:

Total = 40

Banana or Apple = 8 + 4 = 12

Number of selections = 300

The expected number of times to pick an apple or an banana is

Expected = Banana or Apple/Total * Number of selections

Substitute the known values in the above equation, so, we have the following representation

Expected = 12/40 * 300

Evaluate

Expected = 90

Hence, the number of  times is 90

Read more about probability at

https://brainly.com/question/251701

#SPJ1

Answer:

Look at photo

Step-by-step explanation:

Answer:

the total distance covered by the train

Step-by-step explanation:

-the direction doesn't matter, a train can go 40 km/h in any direction

-the mass doesn't matter, a heavy or a light train can go 40 km/h

-the time doesn't matter, it can be travelling at 2 am or 9 pm, that doesn't influence the speed.

The formula for velocity in physics is V = S/T (velocity = space divided by time). So space here would be the distance covered, which is the missing component. V = 40km/h, the time will be determined by the distance covered. Ex: if the distance covered is 80 km, then the time will be 2 hours.

Answer:

it can be redued but not sloved

Step-by-step explanation:

The value are-

Now, for the given question.

Let the given angle be 'x'.

Then, the complement of the angle will be: 90 - x.

6 times the complement = 6(90 - x)

6 times the complement is 44 less; 6(90 - x) - 44.

Now, the supplement of the angle is; 180 - x.

Two time the supplement = 2(180 - x)

The equation will form as;

2(180 - x) = 6(90 - x) - 44

360 - 2x = 540 - 360 - 44

Simplifying the equation;

x = 34.

Thus, the original angle is 34°.

complement angle = 90 - x

= 90 - 34

= 56°

Thus, complement angle = 56°

supplement angle = 180 - x

= 180 - 34

= 146

supplement angle = 146°

Thus, the values of the angles are obtained.

To know more about the complement and supplement angle, here

https://brainly.com/question/13517672

#SPJ9

Answer:

9.42.

Step-by-step explanation:

If you have 3.14 × 3 You would put it over as an equation.

3.14

× 3

----------

9.42 is final answer.

A repeated-measures study is more likely to find a significant effect as compared to an independent-measures design due to the reduced contribution of variance due to individual differences.

A repeated-measures design is an experiment where the same participants perform all tasks. It is also known as a within-subjects design. All participants in this design have the same characteristics, including age, IQ, and cultural background. The researcher determines whether a subject receives a treatment, a placebo, or control, and then the subject is given the remaining treatments in a different order.

Repeated measures are more likely to show significant results because it eliminates variation between participants.In comparison, an independent-measures design is an experimental design in which each subject is assigned to only one of two groups. Independent variables are manipulated in these designs, and the dependent variables are measured.

Each subject is only in one group, so the same subject cannot be used to compare different groups. This is a between-subjects design, which is also known as an independent-groups design. Because the variation between participants has a more significant impact on the data in independent-measures designs, they are less likely to show significant results.

Know more about the repeated-measures study

https://brainly.com/question/31317893

#SPJ11

The sum of 200000000000 + 123456789012345678912345678 is 123456789012365678912345678.

Here we have implemented the mathematical operation called addition.

A mathematical procedure called addition combines two or more values to create a new value. One of the fundamental operations in mathematics, "+" stands in for it.

Addition can be applied to other mathematical objects like vectors or matrices as well as numbers of any sort, including integers, decimals, and fractions.

The outcome is unaffected by the order in which the values are added because the addition is commutative.

To learn more about the mathematical operation:

https://brainly.com/question/20628271

#SPJ4

To calculate the probability that at least two people in a class of 30 share the same birthday, we can use the complement rule, which states that the probability of an event happening is equal to one minus the probability of the event not happening.

If we assume that birthdays are uniformly distributed throughout the year (i.e., each day is equally likely to be someone's birthday), then the probability that no two people in the class share the same birthday is:

365/365 * 364/365 * 363/365 * ... * 336/365

This is because the first person can have any birthday (probability of 365/365), the second person must have a different birthday (probability of 364/365), the third person must have a different birthday than the first two (probability of 363/365), and so on, up to the 30th person, who must have a different birthday than the first 29 (probability of 336/365).

Calculating this probability gives us:

(365/365) * (364/365) * (363/365) * ... * (336/365) ≈ 0.2937

So the probability that no two people in the class share the same birthday is approximately 0.2937.

Using the complement rule, the probability that at least two people in the class share the same birthday is:

1 - 0.2937 = 0.7063

Therefore, the probability that at least two people in a class of 30 share the same birthday is approximately 0.7063, or 70.63%.

Answer:

17

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 = 8^2 = 64

b^2 = 15^2 = 225

64 + 225 = 289

c^2 = 289

c = Square root of 278

c = 17

Answer:

Step-by-step explanation:

Pls check

Answer:

The average marks = 31

Step-by-step explanation:

We know that the average can be measured using mean

Mean = Sum of observations /  no of observations

In the given data no of observations = sum of frequencies

                                                                 = 3+6+10+7+4

                                                                  =30

Sum of observations = No of marks * frequency 1 + No of marks * frequency 2+...

             =  10*3 +20*6+30*10+40*7+50*4

              = 930

Mean = 930/30

          = 31

The difference between the arithmetic average rate of return (ROR) and the weighted average rate of return can be calculated using technology.

First, let's define the terms:- Arithmetic average ROR: This is the simple average of the returns of a set of investments. It is calculated by adding up all the individual returns and dividing by the number of investments. Weighted average ROR: This takes into account the weight or importance of each investment in the portfolio. It is calculated by multiplying each investment's return by its weight, adding up the weighted returns, and dividing by the sum of the weights. To find the difference, you would subtract the arithmetic average ROR from the weighted average ROR. This would give you the deviation or variation between the two measures. The result can be rounded to the nearest tenth of a percent. The difference between the arithmetic average ROR and the weighted average ROR can be found by subtracting the arithmetic average ROR from the weighted average ROR. The arithmetic average ROR is a simple average of the returns of a set of investments. It is calculated by adding up all the individual returns and dividing by the number of investments. On the other hand, the weighted average ROR takes into account the weight or importance of each investment in the portfolio. It is calculated by multiplying each investment's return by its weight, adding up the weighted returns, and dividing by the sum of the weights. By subtracting the arithmetic average ROR from the weighted average ROR, you can find the difference or deviation between the two measures. This difference can provide insights into the impact of the weights assigned to each investment. For example, if the arithmetic average ROR is 2.3% and the weighted average ROR is 1.1%, the difference would be 2.3% - 1.1% = 1.2%.

The difference between the arithmetic average ROR and the weighted average ROR can be calculated by subtracting the arithmetic average ROR from the weighted average ROR. This difference represents the variation between the two measures and can provide insights into the impact of weights assigned to each investment. In the example given, the difference is 1.2%.

To learn more about rate of return visit:

brainly.com/question/32523797

#SPJ11

By dilation, the image of the vertex M of the quadrilateral is M'(x, y) = (6, 5).

In this problem we find the representation of a quadrilateral whose image by dilation must be found. The dilation formula is introduced below:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]

Where:

If we know that O(x, y) = (4, 6), k = 1 / 3 and M(x, y) = (10, 9), then image of point M is:

M'(x, y) = (4, 6) + (1 / 3) · [(10, 9) - (4, 6)]

M'(x, y) = (4, 6) + (1 / 3) · (6, 3)

M'(x, y) = (4, 6) + (2, 1)

M'(x, y) = (6, 5)

To learn more on dilations: https://brainly.com/question/13176891

#SPJ1

Answer: 1,004.8 cubic meters (choice D)

Work Shown:

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*8^2*15

V = 1,004.8

Answer:

Step-by-step explanation: