Answer:
Step-by-step explanation:
All the numbers are greater than 2 and the circle is solid so it's also equal
x≥2
some people have white coat hypertension. that is, they grow anxious when a person with a white coat and a stethoscope walks into the examining room to take their blood pressure. as a result, their blood pressure increases. a family practitioner believes this is quite common. to test her theory, she puts together a random sample of 50 patients and takes two blood pressure measurements, one when each patient first walks into the room and a second, unexpected one after about 15 minutes. what statistical test should she use to see if the two blood pressures differ?
A paired-test can be used to check if the two blood pressure taken from 2 groups,one group having normal blood pressure another having white coat hypertension differ or not.
Lets know about paired t testA paired t-test is used to determine whether two sample means are equal or not. White coat hypertension occurs when a person's blood pressure rises when they are in a medical setting.
To assess whether the two blood pressure measurements differ, a paired t-test should be used. The paired t-test is used to compare two dependent samples that are connected in some manner. A random sample of 50 patients should be taken to see if the two blood pressures differ. Here are the steps for conducting a paired t-test:
- State the null and alternative hypotheses.
- Calculate the difference between the two groups of data.
- Calculate the sample mean, sample standard deviation, and sample size.
- Use the t-distribution to determine the critical value.
- Compute the test statistic.
- Determine the p-value.
- Make a decision.
It is worth noting that in order to use the paired t-test, the data must be normally distributed. Additionally, this test can be performed on a one-tailed or two-tailed basis, depending on the hypothesis test. F-distribution is not used in a paired t-test.
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QUICKKKKKK HELPPPPLines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected by horizontal lines e and f. At the intersection of lines a and e, the top left angle is angle 1 and the top right angle is angle 2. At the intersection of lines b and e, the bottom left angle is angle 3. At the intersection of lines b and f, the uppercase right angle is angle 4 and the bottom left angle is angle 5. If m1 = 89°, what is m5? 1 89 91 179
Answer:
It is 91
Step-by-step explanation:
:)
Answer:
C: 91
Step-by-step explanation:
Unit test Edge 2021
Using a local telephone book to select a simple random sample could introduce _____ bias.
Answer:
Undercoverage
Step-by-step explanation:
Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.
I hope it helps! Have a great day!
BEDMAS QUESTIONS
Solve the following.
Show your work.
Round you asnwers to the nearest hundredth
Using BODMAS, the solutions of the expressions are: (1) 9, (2)-12, (3) 0.27, and (4) 0.24
What is BODMAS?We should know that BODMAS is a mathematical approach which means
B=BracketO=OffD=DivisionM=MultiplicationA=Addition S=SubtractionIn each of the expressions, we must follow the approach
1) \(\frac{(6+3)^{2} }{3*9}\)
Simplifying this we have 9²/9=81/9
=9
2) \(\frac{3^{2} -6*2}{(12-8)/2^{2} *10}\)
Using BODMAS we have
(9-12)/4/40
-3÷1/9
⇒-3*4
=-12
(3) \(\frac{4.5+2*2.5^{2}-6 }{8*4+9}\)
Using BODMAS we have
(4.5+2*6.25-6)/32+9
⇒(4.5+12.5-6)/41
=11/41=0.27
4 (\(\frac{3.5+16-2.5^{2} }{10.5-6*11}\))
Using BODMAS we have
(3.5+16-6.25)/10.5-66
Simplifying
(13.25)/-55.5
=0.24
Therefore, the values when simplified are (1) 9, (2)-12, (3) 0.27, and (4) 0.24
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In an auditorium, there are 104 rows with 24 in each row, How many seats are available?
Answer:
2496
Step-by-step explanation:
104 x 24
When n is divided by 3, the remainder is 1 What is the remainder when 2n is divided by 3
Answer:
Only n if 2n is/3 when 2nis divide by 3
Answer:3
Step-by-step explanation:
you could only divide 2n in 3 was there so it would be three
The given planes intersect in a line. Find parametric equations for the line of intersection. [Hint: The line of intersection consists of all points (x, y, z) that satisfy both equations. Solve the system and designate the unconstrained variable as t .]
x + 2y + z = 1, 2x+5y + 32 = 4
The parametric equations for the line of intersection are:
x = 61 - 5t
y = 2t - 30
z = t
To find the parametric equations for the line of intersection of the given planes, we first need to solve the system of equations:
1. x + 2y + z = 1
2. 2x + 5y + 32 = 4
Step 1: Solve for x from equation 1:
x = 1 - 2y - z
Step 2: Substitute x in equation 2 with the expression found in step 1:
2(1 - 2y - z) + 5y + 32 = 4
Now we can use elimination to solve for one variable. Let's eliminate y by multiplying the first equation by 5 and subtracting it from the second equation:
Step 3: Simplify and solve for y:
2 - 4y - 2z + 5y + 32 = 4
y - 2z = -30
Step 4: Designate z as the parameter t:
z = t
Step 5: Substitute z with t in the expression for y:
y = 2t - 30
Step 6: Substitute z with t in the expression for x:
x = 1 - 2(2t - 30) - t
x = 1 - 4t + 60 - t
x = 61 - 5t
Now we have the parametric equations for the line of intersection:
x = 61 - 5t
y = 2t - 30
z = t
Note that we can choose any value of z for the parameter t, since z is unconstrained.
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When compared to a competitive market, monopolies will tend to exhibit: Question 5 options: Lower profit, higher quantities sol Higher profit, lower quantities sold Higher profit, higher quantities sold Lower profit, lower quantities sold
Monopolies tend to exhibit higher profit and lower quantities sold compared to a competitive market. This is because monopolies have the ability to set prices higher than their marginal cost without the fear of losing customers to competitors.
They can charge higher prices and restrict output to maximize profits. In contrast, in a competitive market, firms must price their goods at the market price determined by the forces of supply and demand and produce at the level of output where their marginal cost equals the market price. This leads to lower prices and higher quantities sold.
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A cup of coffee contains 140 mg of caffeine. If caffeine leaves the body at 10% an hour, how long will it take for half of the caffeine to be eliminated from the body?
Answer: 5 hours
Step-by-step explanation:
If 10% of 140 is 14. And if 14 mg of caffeine is leaving per hour then it would take 10 hours to completely leave from ones body, but for half of it to leave it would take 5.
A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 202020 meters wide by 404040 meter long rectangle. The company already has 100100100 meters of tape. How much more tape does the company need to tape the site?
Answer:
20 meters
Step-by-step explanation:
A construction company is starting to build a new house. They need to put tape around the site to begin. The new home site is 20 meters wide by 40 meter long rectangle. The company already has 100 meters of tape. How much more tape does the company need to tape the site?
We would have to find the perimeter of this rectangle
Perimeter fo a rectangle = 2L + 2W
In the above question,
L = Length = 40 m
W = Width = 20 m
Hence:
Perimeter = 2(40m) + 2(20m)
= 80m + 40m
= 120m
Hence, he would need 120 meters of tape
From the above Question, the company already has 100m
Hence, the amount of tape that the company needs more =
120m - 100m = 20 m
(d) In 7 years Bernard will be twice as old as he was 8 years ago. How old is Bernard now?
The present age of the Bernard is, 23.
What is age?
Given a date of birth, this free age calculator calculates age in terms of years, months, weeks, days, hours, minutes, and seconds.
Calculated using the population's arithmetic mean, average age. The median age is a factor that determines the population's average age.
As given, in 7 years Bernard will be twice as old as he was 8 years ago.
Let the present age of Bernard = x
Bernard age after 7 years = x + 7.
Bernard age before 8 years = x - 8.
From the given information,
2(x - 8) = x + 7
2x - 16 = x + 7
2x - x = 16 + 7
x = 23
Therefore, the present age of Bernard is 23.
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on a survey, students must give exactly one of the answers provided to each of these three questions: $\bullet$ a) were you born before 1990? (yes / no) $\bullet$ b) what is your favorite color? (red / green / blue / other) $\bullet$ c) do you play a musical instrument? (yes / no) how many different answer combinations are possible?
There are 16 different answer combinations possible for the three questions.
For each question, there are a certain number of answer choices available. Let's analyze each question separately:
Were you born before 1990?" - This question has 2 answer choices: yes or no.
b) "What is your favorite color?" - This question has 4 answer choices: red, green, blue, or other.
c) "Do you play a musical instrument?" - This question has 2 answer choices: yes or no.
To find the total number of answer combinations, we multiply the number of choices for each question. Therefore, we have 2 * 4 * 2 = 16 different answer combinations.
For question a, there are 2 choices. For each choice in question a, there are 4 choices in question b, resulting in 2 * 4 = 8 combinations. For each of these 8 combinations, there are 2 choices in question c, resulting in a total of 8 * 2 = 16 different answer combinations.
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just need a little homework help (slopes)
Joshua watched 1 3 of a movie in the morning, and he watched some more at night. By the end of the day, he still had 1 5 of the movie left to watch. How much of the movie did Joshua watch at night
We can start solving the problem by using algebra. Let x be the total length of the movie in minutes. Then we know that:
1/3 of the movie is x/3 minutes.
1/5 of the movie is x/5 minutes.
We are told that Joshua watched 1/3 of the movie in the morning and had 1/5 of the movie left to watch at night. Therefore, we can set up the equation:
x/3 + y = x/5, where y is the length of the movie that Joshua watched at night.
We can then solve for y by isolating it on one side:
y = x/5 - x/3
We know that 1/3 + 1/5 = 8/15.
We can simplify by multiplying both sides of the equation by 15:
y = (8/15)*x = 8x/15
We can conclude that Joshua watched 8/15 or approximately 53.33% of the movie at night.
PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
n=-3.1
Step-by-step explanation:
2n+3=-3.2
2n=-6.2
n=-3.1
2n+3 =-3.2
2n= -3.2-3
2n= -6.2
n= -3.1
In ∆ABC, if sin A = 8/17, what is cos B?
A. 15/17
B. 8/17
C. 9/17
D. 17/8
Answer:
B is the correct answer.
because Cos = Adj / Hyp
so it is Cos B = 8 / 17
A bag has 1 striped, 4 red, 6 blue, and 3 yellow marbles. A student randomly draws a marble from the bag. What is the probability of drawing a blue marble?
1:14
3:14
3:7
1:4
14
4.5
2.5
........................
3 time 4 divided by 6
Answer:
the awnse is 2 i hope i helped
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
3 x 4 / 6
3 x 4 = 12
12 / 6 = 2
PEMDAS
M - multiplication
D - division
Multiplication comes before division.
You measure the time it takes to complete 5 rotations 3 times and obtain the following measurements.
The time it takes to complete the one rotation is 0.44 seconds (rounded to two decimal places). The three measurements you obtained were 2.1 seconds, 2.3 seconds, and 2.2 seconds.
Step 1: Add the three measurements together.
Step 2: Divide the sum by 3 to find the average time.
Step 3: Divide the average time by 5 to find the time it takes to complete one rotation.
Step 1: Add the three measurements together.
\(2.1 + 2.3 + 2.2 = 6.6\)
Step 2: Divide the sum by 3 to find the average time.
\(6.6 ÷ 3 = 2.2\)
Step 3: Divide the average time by 5 to find the time it takes to complete one rotation.
\(2.2 ÷ 5 = 0.44\)
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may someone please help me out
C. 700 units.
The formula for the surface area of a rectangular prism is: 2 ((Width × Length) + (Height × Length) + (Height × Width))
(14 × 12) + (7 × 12) + (7 × 14)
168 + 84 + 98 = 350
Now do 350 × 2 = 700
700 units squared.
what is the coefficient of (3y^2 + 9)5
The coefficient of (3y² + 9)5 is 15.
A polynomial is of the form a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ.
Here, x is the variable, aₙ is the constant term, and a₀, a₁, a₂, ..., and aₙ₋₁, are the coefficients.
a₀ is the leading coefficient.
In the question, we are asked to identify the coefficient of (3y² + 9)5.
First, we expand the given expression:
(3y² + 9)5
= 15y² + 45.
Comparing this to the standard form of a polynomial, a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² + ... + aₙ₋₁x + aₙ, we can say that y is the variable, 15 is the coefficient, and 45 is the constant term.
Thus, the coefficient of (3y² + 9)5 is 15.
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need help with my homework
Answer:
\(\displaystyle y=\frac{16-9x^3}{2x^3 - 3}\)
\(\displaystyle y=-\frac{56}{13}\)
Step-by-step explanation:
Equation Solving
We are given the equation:
\(\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}\)
i)
To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.
We have to make it in steps like follows.
Cube both sides:
\(\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3\)
Simplify the radical with the cube:
\(\displaystyle x^3=\frac{3y+16}{2y+9}\)
Multiply by 2y+9
\(\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)\)
Simplify:
\(\displaystyle x^3(2y+9)=3y+16\)
Operate the parentheses:
\(\displaystyle x^3(2y)+x^3(9)=3y+16\)
\(\displaystyle 2x^3y+9x^3=3y+16\)
Subtract 3y and \(9x^3\):
\(\displaystyle 2x^3y - 3y=16-9x^3\)
Factor y out of the left side:
\(\displaystyle y(2x^3 - 3)=16-9x^3\)
Divide by \(2x^3 - 3\):
\(\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}\)
ii) To find y when x=2, substitute:
\(\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}\)
\(\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}\)
\(\displaystyle y=\frac{16-72}{16- 3}\)
\(\displaystyle y=\frac{-56}{13}\)
\(\mathbf{\displaystyle y=-\frac{56}{13}}\)
Plot 213, −56, and −312 on the number line.
Answer:
Step-by-step explanation:
Plot 213, −56, and −312 on the number line.
A cabin cruiser travels 20 miles in the same time that a power boat travels 40 miles. The cruiser travels 5 mph slower than the power boat. Find the speed of each boat.
The speed of the power boat is 20 mph and the speed of the cabin cruiser is 15 mph.
Let the speed of the power boat be x mph. Then, the speed of the cabin cruiser will be (x - 5) mph.Distance covered by the power boat in the given time = 40 miles
Distance covered by the cabin cruiser in the given time = 20 milesWe know that: Speed = Distance / TimeTherefore, we can write the following equations:
For power boat: x = 40 / tFor cabin cruiser: (x - 5) = 20 / twhere t is the time taken by the boats to travel the given distances. We can see that the time taken is the same for both boats (as they travel the same distance in the same time).Equating the two equations above, we get:x = (40 / t) + 5(taking the second equation and adding 5 to both sides)Multiplying both sides by t, we get:xt = 40 + 5tMultiplying both sides by 2, we get:2xt = 80 + 10t
We know that: Distance = Speed x Time
Therefore, the time taken by the boats to travel the given distances can be written as:t = Distance / SpeedSubstituting this in the equation above, we get:2x(20 / x) = 80 + 10xSimplifying, we get:40 = 80 + 10x - 2xx = 20 mphSubstituting this value in the equation (x - 5) = 20 / t, we get:(20 - 5) = 15 mph
Summary: Thus, the speed of the power boat is 20 mph and the speed of the cabin cruiser is 15 mph.
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Given: A and B are complementary angles. B and C are complementary angles. Prove: A C
Answer:
see below
Step-by-step explanation:
Complementary means that they add to 90 degrees
<A + <B = 90 given
<B + <C = 90 given
<A + <B = <B + <C substitution property of equality.
<A = <C subtraction property of equality
what is 3 divide by 40?
Answer:
0.075
Step-by-step explanation:
You can do it the bus way method(on paper')
or use a calculator
hope this helped have a great day
0.075
0.075
40 / 3.
2.80
___________
200
200
_____________
If a scale factor of 4.6 is applied to the parallelogram, what will be the perimeter of the new parallelogram?
Answer:
The new perimeter is 4.6 times the original perimeter of the parallelogram.
Step-by-step explanation:
A parallelogram is a four-sided figure, such that the opposite sides are parallel.
So a parallelogram is defined by two measures, we can define them as the length L and the width W (W can be equal to L, as in the case of the square or the rhombus)
The perimeter of one parallelogram is then:
P = 2*L + 2*W = 2*(L + W)
If a scale factor of 4.6 is applied to the parallelogram, then all the dimensions must be multiplied by 4.6
This means that the new length is L' = 4.6*L and the new width is W' = 4.6*W
Then the new perimeter is:
P' = 2*W' + 2*L' = 2*(L' + W') = 2*(4.6*L + 4.6*W) = 4.6*[2*(L + W)]
And the thing inside brackets is equal to the original perimeter, then:
P' = 4.6*P
The new perimeter is 4.6 times the original perimeter of the parallelogram.
Will give brainlest to first correct answer
Answer: 3
Step-by-step explanation:
3rd, lands on a vowel.
Answer: The spinner lands on a vowel.
Step-by-step explanation:
Probability to land on purple section: 1/10
Probability to land on letter D: 1/10
Probability to land on vowel: 3/10 (A, E, I)
Probability to land on red section: 2/10
3/10 > 2/10 > 1/10
Maria was paid $1854 for laying the Corbett's lawn. If she charged $135 plus 9.55 per square metre of lawn laid, find the area of the lawn.
Let's represent the area of the lawn with "x" (in square meters).
Maria charged $135 plus $9.55 per square meter, so her total earnings can be expressed as:
Total earnings = $135 + $9.55 x
We know that Maria was paid $1854, so we can set up an equation and solve for x:
$1854 = $135 + $9.55 x
Subtracting $135 from both sides:
$1719 = $9.55 x
Dividing both sides by $9.55:
x = 180
Therefore, the area of the lawn is 180 square meters.
The standard error of the sample proportion will become larger...
----
A. as the sample size increases
B. as population proportion approaches 0.50
C. as population proportion approaches 1.00
D. as population proportion approaches 0.
The correct answer is A. The standard error of the sample proportion will become larger as the sample size increases.
The standard error is a measure of the variability or uncertainty associated with an estimate. In the case of the sample proportion, it measures the spread or variability in the proportion of successes observed in the sample compared to the true population proportion.
As the sample size increases, the standard error decreases, indicating greater precision in estimating the true population proportion. This is because a larger sample provides more information and reduces the impact of sampling variability.
On the other hand, options B, C, and D are incorrect. The standard error is not affected by the population proportion itself but rather by the sample size. The population proportion approaching 0.50, 1.00, or 0 does not directly impact the standard error, although it may affect other measures such as the margin of error or confidence intervals. The primary factor influencing the standard error is the sample size, with larger samples leading to smaller standard errors.
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