Benjamin's employer will withhold $42.05 in Additional Medicare Tax for this period.
How much will be withheld by the Medicare Tax?To calculate the amount withheld by Benjamin's employer in Medicare tax, we apply the proportion of the Medicare tax to his total earnings.
The parameters for this problem are given as follows:
Medicare Rate: 2.9%, however, only 1.45% of this is withheld by the employee.Benjamin's weekly earnings: $2,900.Then the amount withheld by the employee for the Medicare Tax is calculated with the multiplication of the decimal equivalent of 1.45%, which is of 0.0145, by Benjamin's gross earnings of $2,900 as follows:
Amount = 0.0145 x 2900 = $42.05.
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The expression 8x³-1 is a ...
Select all that apply
linear
quadratic
cubic
quartic
quintic
monomial
binomial
trinomial
Observing the nature of the provided equation and the degree of the polynomial , The answer is Cubic.
What is a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What do you mean by degree of polynomial?The highest degree of a polynomial's monomials (individual terms) with non-zero coefficients is referred to as the polynomial's degree in mathematics.
Expression : [tex]8x^{3}-1[/tex]
Degree of polynomial =3
The expression is a Cubic Expression.
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Observing the nature of the provided equation and the degree of the polynomial , The answer is Cubic.
What is a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What do you mean by degree of polynomial?The highest degree of a polynomial's monomials (individual terms) with non-zero coefficients is referred to as the polynomial's degree in mathematics.
Expression : 8x³ - 1
Degree of polynomial =3
The expression is a Cubic Expression.
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Help me!!!
Graph the equation:
y - 2 = 3 (x - 2)
Answer:
See below and attached graph
Step-by-step explanation:
If you are using a graphing calculator it is a breeze. You write down the equation as it is and it should plot it, depending on what calculator you use.
If you are doing this manually here are the steps
We are given y - 2 = 3(x-2)
Expand the brackets on the right hand side
3(x - 2) = 3x - 6
So the original equation becomes
y - 2 = 3x - 6
Adding 2 to both sides
y - 2 + 2 = 3x -6 + 2
y = 3x - 4 [1]
This form of equation is known as a slope-intercept form of the line
We need two points to plot a line. This can be done by choosing a value for x, finding the y value which gives one point. Then repeat for another value of x to get y for that value giving another point. Draw a straight line through both points
Point 1
Let's choose x = 2 and plug this into the equation [1]
y = 3·2 - 4 = 6- 4 = 2.
So (2, 2) is one point on the graph
Point 2
Choose another value for x, say x = 4
y = 3·4 - 4
y = 12-4
y = 8
So (4, 8) is another point
Draw a line through these two points
Which ordered pair lies on the graph of the function y = -2x + 1? (0, -2) (2, -2) (3, -5) (5, 2
So, the ordered pair which lies on the graph of the function y = -2x + 1 is (3,-5)
We will use the substitution method and check for all the ordered pair which are given
If the ordered pair lies on the graph, then it should satisfy the function.
So,
Given,
y = -2x+1
First check for (0,-2)
x=0, y=-2
Substitute the values,
y = -2x+1
-2=-2(0)+1
-2=1
It is false.
Next check for (2,-2)
x=2, y=-2
Substitute the values,
y = -2x+1
-2=-2(2)+1
-2=-3
It is false.
Next check for (3,-5)
x=3, y=-5
Substitute the values,
y = -2x+1
-5=-2(3)+1
-5=-5
It is true.
Next check for (5,2)
x=5, y=2
Substitute the values,
y = -2x+1
2=-2(5)+1
2=9
It is false.
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Jeff took out a 15 year unsubsidized loan for $9.800 to attend four years of college. The rate is 4.3%. How much interest accrued in the first four-and-a-half years
The interest accrued in the first four years is $1.69 and a half years is $0.21.
What is interest rate?
The amount that the lender charges the borrower above and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.
Given:
Jeff took out a 15 year unsubsidized loan for $9.800 to attend four years of college.
The rate is 4.3%.
We have to find the interest accrued in the first four-and-a-half years.
First to find the interest for first four years.
p = $9.800, r = 4.3% = 0.043, t = 4
⇒ I = P x r x t
I = 9.800 x 0.043 x 4
I = 1.6856
I = $1.69
Now to find the interest for a half years.
p = $9.800 , r = 4.3% = 0.043, t = 1/2
I = p x r x t
I = 9.800 x 0.043 x 1/2
I = 0.2107
I = $0.21
Hence, the interest accrued in the first four years is $1.69 and a half years is $0.21.
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What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?
The end behavior of the graph of the polynomial function:
As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
What is an end behavior?
The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f.
Here, we have
f(x) = –x⁵ + 9x⁴ – 18x³
F(x) is a fifth-degree (odd function ) with a negative leading coefficient
If the exponent is odd and the leading coefficient is negative then the end behavior is
As x approaches ∞, y approaches -∞
As you go on the right, f(x) goes down
As x approaches -∞, y approaches ∞
As you go on the left, f(x) goes up.
Hence, the end behavior of the graph of the polynomial function: As x approaches ∞, y approaches -∞
As x approaches -∞, y approaches ∞
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Solve ABC using diagram and the given measurement A=64 a=7.4
Answer:
Hope this helps!
Use a sign chart to solve the inequality. Express the solution in inequality notation and in interval notation. X2 - 5x - 36 < 0 The solution expressed in inequality notation is.
The solution in inequality notation and in interval notation is (-∞ . -√5]∪[√5,36)
The term inequality refers the a relationship between two expressions or values that are not equal to each other is called 'inequality.
Here we have given the inequality (x² - 5)/ (x - 36) < 0
And we need to find the solution in inequality notation and in interval notation.
In order to find the inequality notation, we have to solve the given inequality, then we get.
(x² - 5)/ (x - 36) < 0
(x² - 5) < 0
x² < 5
x < √5
While we looking into the inequality we must know that the denominator must not be 0.
So, the interval notation can be written as,
=> (-∞ . -√5]∪[√5,36)
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What is true about machine learning algorithms? A/Model is fitted using training dataset B/Performance of the model is assessed using test data C/Model is validated on validation dataset D/Model is calibrated on test dataset E/Validation dataset is used to minize model overfitting Select all what applies to traditional classification tree model: A/Group of answer choices B/Unsupervised learning method C/Requires categorical output(target) variable D/Does not require any output variables E/None of the above F/Supervised learning method
A. Model is fitted using training dataset and E. Validation dataset is used to minimize model overfitting are true about machine learning algorithms
The process by which an AI system completes its task—generally, forecasting output values from provided input data—is known as a machine learning algorithm. Classification and regression are the two key operations of machine learning algorithms.
Simple linear regression, decision trees, logistic regression, the KNN algorithm, and other well-known supervised learning techniques are some examples.
Machine learning is crucial because it helps businesses identify trends in customer behaviour and operational patterns and facilitates the creation of new goods.
According to the question,
Option A and option E are correct about the machine learning algorithms
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The distances between Dry Gulch, Wet Creek, and Soggy River can be represented by a triangle.
The distance between Dry Gulch and Wet Creek is 530 miles and the distance between Dry Gulch and Soggy River is 721 miles. Circle ALL the possible distances below between Wet Creek and Soggy River: SHOW YOUR WORK
The distance between Wet Creek and Soggy will be 894.03 miles.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
The distances between Dry Ravine, Wet Rivulet, and Saturated Waterway can be addressed by a triangle.
The distance between Dry Ravine and Wet Rivulet is 530 miles and the distance between Dry Gorge and Saturated Waterway is 721 miles.
The distance between Wet Creek and Soggy will be given as,
d² = 530² + 721²
d² = 280,900 + 518,400
d² = 799,300
d = 894.03 miles
The distance between Wet River and Soaked will be 894.03 miles.
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8.8 Use Runge-Kutta method of fourth order to solve numerically the initial value problem
10(dy/dx) = x²+y² , y(0)=1
and find y in the interval 0 ≤x ≤ 0.4 , taking h=0.1.
The value of y(0.4) is 1.04384484247985 using Runge-Kutta method of fourth order .
What is Runge-Kutta method of fourth order ?
The RK4 method, also known as the fourth-order Runge-Kutta method, is the Runge Kutta technique most frequently employed to get the answer to a differential equation. For a given point x, the Runge-Kutta technique returns an approximation of the value of y. The Runge Kutta RK4 method can only be used to solve first order ODEs.
The step size is h = 0.1
f(x,y) = (x²+y²)/10
Step 1:
x₁ = 0 + 0.1 = 0.1
k₁ =f(0,1) = 0.1
k₂ = f(1/20, 1.005) = 0.1012525
k₃ = f(1/20, 1.005062625) =0.101265088017189
k₄ = f(1/10, 1.01012650880172) = 0.103035556378395
y₁ = 1+ (1/10)/6 +(0.1 + 2⋅0.1012525 + 2⋅0.101265088017189 + 0.103035556378395) = 1.01013451220688
Step 2:
x₂ = x₁ + h = 1/5
k₁ =f(1/10,1.01013451220688)=0.103037173275143
k₂ = f(3/20,1.01528637087064) = 0.105330641487567
k₃ = f(3/20, 1.01540104428126) = 0.105353928072747
k₄ = f(1/5, 1.02066990501415) = 0.10817670550016
y₂ =1.01013451220688 + (1/10)/6 +(0.103037173275143 + 2⋅0.105330641487567 + 2⋅0.105353928072747 + 0.10817670550016) = 1.02067756250514
Step 3:
x₃ = x₂ + h = 3/10
k₁ =f(1/5, 1.02067756250514)=0.108178268660144
k₂ = f(1/4,1.02608647593815)=0.111535345610318
k₃ = f(1/4, 1.02625432978566)=0.111569794940382
k₄ = f(3/10, 1.03183454199918)=0.115468252206266
y₃ =1.02067756250514 + (1/10)/6 (0.108178268660144 + 2⋅0.111535345610318 + 2⋅0.111569794940382 + 0.115468252206266) = 1.03184184253794
Step 4:
x₄ = x₃ + h = 2/5
k₁ =f(3/10, 1.03184184253794) = 0.115469758801209
k₂ = f(7/20,1.037615330478)=0.119914557404297
k₃ = f(7/20, 1.03783757040816)=0.119960682255071
k₄ = f(2/5, 1.04383791076345)=0.1249597583947
y₄ = 1.03184184253794 + (1/10)/6 (0.115469758801209 + 2⋅0.119914557404297 + 2⋅0.119960682255071 + 0.1249597583947) = 1.04384484247985
y(0.4) ≈ 1.04384484247985
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Which variable has a binomial distribution?
When tiles are drawn, with replacement, from a bag of lettered tiles, X is the number of vowels in 5 draws.
When tiles are drawn, without replacement, from a bag of lettered tiles, X is the number of times it takes to get a vowel.
When tiles are drawn, without replacement, from a bag of lettered tiles, X is the number of vowels in 5 draws.
When tiles are drawn, with replacement, from a bag of lettered tiles, X is the number of times it takes to get a vowel.
When tiles are drawn, with replacement, from a bag of lettered tiles, X is the number of vowels in 5 draws variable has binomial distribution
The possibility that a value would take one of two independent values given a particular combination of factors or assumptions is summarised by the statistical distribution known as the binomial distribution.
The basic presumptions of the binomial distribution are:
each trial has a single possible outcome each trial has an equal chance of success each trial is either independent of the others or mutually exclusive.As opposed to a continuous distribution, like the normal distribution, the binomial distribution is a frequent discrete distribution used in statistics.
The probability of success raised to the power of the number of successes and the probability of failure raised to the power of the difference between the number of successes and the number of trials are multiplied to create the binomial distribution.
The result is then multiplied by the sum of the number of attempts and the number of successes.
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Select the best answer. The central limit theorem is important in statistics because it allows us to use the Normal distribution to find probabilities involving the sample mean (a) if the sample size is reasonably large (for any population). (b) if the population is Normally distributed and the sample size is reasonable large. (c) if the population is Normally distributed (for any sample size). (d) if the population is Normally distributed and the population standard deviation is known (for any sample size). (e) if the population size is reasonably large (whether the population distribution is known or not).
The central limit theorem's not needed when the original distribution is normal, the distribution of the sample mean is always normal in that case. So, option (a) is correct. If the sample size is reasonably large (for any population) is correct.
Given that,
The central limit theorem is important in statistics because it allows us to use the Normal distribution to find probabilities involving the sample mean,
In layman's words, the theorem asserts that regardless of the form of the initial population distribution, the sampling distribution of the mean tends to resemble a normal distribution as the sample size rises.
Statistics benefits from the Central Limit Theorem because it makes it safe to assume that the sampling distribution of the mean will be typically normal. As we will see in the next section, this means that we can benefit from statistical methods that presume a normal distribution.
The distribution of people's heights within a population is one illustration of how the central limit theorem is put to use. Even though the population's distribution of heights is not normal, when we sample this population, the distribution of the sample averages will be roughly normal.
Therefore,
The central limit theorem's not needed when the original distribution is normal, the distribution of the sample mean is always normal in that case. So, option (a) is correct. If the sample size is reasonably large (for any population) is correct.
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expressions equivalent to 9 2/3
The equivalent expression for the given expression is 29/3.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given mixed fraction [tex]9\frac{2}{3}[/tex].
There are equivalent improper fractions for all mixed numbers. By multiplying the integer by the denominator and then adding the numerator, they are transformed. The numerator will not change.
Convert mixed fraction to improper fraction as follows
Improper fraction = [(Numerator × Denominator)+Numerator]/Denominator
[(9×3)+2]/3
=[27+2]/3
= 29/3
Therefore, the equivalent fraction for the given mixed fraction is 29/3.
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pe here to search
03 Multiple Choice
Select all of the expressions that are equivalent to (9x+6)-(8x-4).
M. 2(x + 1)
P. 2x+6
R. 2x + 2
S. 2(x + 3)
T.
8x
OE
0/20
Answer:
The answer is (x + 10)
Step-by-step explanation:
(9x + 6) - (8x - 4)
9x + 6 - 8x + 4
Rearrange it
9x - 8x + 6 + 4
Combine like terms
x + 10
Thus, The answer is (x + 10)
For rhombus LMNO, m∠LON = 102° and NP = 5 units.
Rhombus L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. All sides are congruent.
Use the diagram of rhombus LMNO to find the missing measures.
The measure of ∠LPM is
°.
The measure of ∠PMN is
°.
The length of LN is
units.
the measure of ∠LPM is 90°
the measure of ∠PMN is 102°
the length of LN is 10 units.
Define Rhombus.
A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, opposite sides are parallel and the opposite angles are equal.
For a Rhombus, LMNO
∠LON = 102°
NP = 5 units
By the properties of Rhombus, we know that
All sides of a rhombus are congruent (equal)
So, LM = MN = NO = OL
and
Opposite angles are equal and the opposite sides are parallel.
So, ∠LON = 102° = ∠LMN
Since Adjacent angles add up to 180°.
Therefore ∠L + ∠M = 180°
∠M + ∠N = 180°
∠N + ∠O = 180°
∠O + ∠L = 180°
So, ∠N = 180° - ∠O = 180° - 102° =78°
∠L = 180° - ∠O = 180° - 102° =78°
∠M = 180° - ∠L = 180° - 78° =102°
Diagonals bisect each other at 90° or we can also say that each of the two diagonals in a rhombus is the perpendicular bisector of the other.
So, ∠LPM = ∠NP0 = ∠MPN = ∠LPO =90°
Thus, the measure of ∠LPM is 90°
the measure of ∠PMN is 102°
the length of LN is 10 units.
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Answer:
Lpm= 90
PMN=51
LN= 10
Step-by-step explanation:
Here is a linear equation: y= 1 4x+2. What is the x-intercept of the graph of the equation?
As per the linear equation, the x-intercept of the graph of the equation will be (-8, 0).
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the information given in the question,
The given equation is,
y= -1/4 x + 2
Now, let's take y = 0 for x- intercept,
So, the equation will be,
0 = 1/4x + 2
1/4x = -2
x= -8
The x-intercept is (-8, 0).
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The question sees incomplete, your question may be:
Here is a linear equation: y = 1/4x + 2 What is the x-intercept of the graph of the equation?
How many different ways can the 11 letters in
the word PROBABILITY be arranged?
Answer: 1
Step-by-step explanation:
Can someone help me?
Answer:
Y=6x-12
Step-by-step explanation:
whenever the X is at zero the number across from it is the Y-intercept. and to find the slope just count how much they are increasing or decreasing by.
Helppp!!! 8 grade!!
Step-by-step explanation:
for question 1, the change in y is the highest value takeaway the lowest value.
change in y = 10 - 1 = 9
change in x = 6 - (-3) = 9
9/9 = 1
therefore m = 1, this works for all the questions
Answer to this required:
Answer:
9
Step-by-step explanation:
3.4^0 = 1
9^1 = 9
1 * 9 = 9
i need help divided 4/7 by 3
Answer:
0.1904
Step-by-step explanation:
4/7 ÷ 3 is = 0.1904
Answer: I hope this helps
Step-by-step explanation:
4/7 divided by 3
Dividing is equivalent to multiplying by the reciprocal
4/7 times 1/3 or 4/7•1/3
Multiply the fractions
And you get
4/21 or 0.190476
I kinda need help
x + 19 -x + 10
Answer:x+19-x+10 is equal to 29.
Find tan(0), if cot(0) = -2.6
According to Trigonometric Identity , tan(theta) = -5 / 13
What are Trigonometric Identities ?Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. The relationship between a triangle's side length and angle is expressed by a variety of specific trigonometric identities.
Sin, cos, and tan are the three fundamental trigonometric ratios. The reciprocals of sin, cos, and tan are represented by the three additional trigonometric ratios sec, cosec, and cot in trigonometry, respectively.
According to the given information
We know that
tan(theta) = 1/cot(theta)
= 1 / -2.6
= -1 / 2.6
= -10 / 26
= -5 / 13
According to Trigonometric Identity , tan(theta) = -5 / 13
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A professor wanted to know what proportion of college students believe in ghosts. She polled 200 students and found that 58% said they believe in ghosts. Create a 99% confidence interval for the true proportion of college students believing in ghosts. a. (0.5116, 0.64840 b. (0.2074, 0.3727) c. (0.4901, 0.6699) d. (0.2271,0.3529)
A 99% confidence interval for the true proportion of college students believing in ghosts is Option(c) (0.4901, 0.6699)
According to the question,
A professor wanted to know what proportion of college students believe in ghosts.
For that he drawn a sample from the college.
Sample size : n = 200
Proportion of students that believed in ghosts in sample = 58%
=> p = 0.58
Proportion of students who does not believe in ghost : q = 1 - p
=> q = 0.42
We have to create a 99% confidence interval for a true proportion of college students believing in the ghosts
Formula of C.I = [tex]p \pm ( z_{\alpha} \sqrt{\frac{pq}{n}})[/tex]
Where p and q is sample proportion , z is value of CI at given α level of significance and n is sample size
C.I at 99% = 0.58 ± 2.576 √0.58×0.42/200
=> 0.58 ± 2.576 √0.001218
=> 0.58 ± 2.576 × 0.035
=> 0.58 ± 0.08958
C.I = ( 0.58 - 0.08958 , 0.58 + 0.08958)
=> C.I = (0.4901, 0.6699)
Hence, Option (c) is correct
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Answer:
41%
Step-by-step explanation:
Find the measure of one exterior angle in each regular polygon. Round your answer to the
nearest tenth if necessary.
3)
45°
27.7°
51.4°
Multiply.
17.22(−2.4)
Enter your answer in the box.
Answer:
-41.328
Step-by-step explanation:
Answer:
-41.328
Step-by-step explanation:
Addition multiplied by subtraction gets you subtraction. +-=-
so now, ()= multiplication
so now all you have to do is 17.22 times 2.4 which gets us 41.328
then, add the negative sign which gives you -41.328
yw :)
Write each of these numbers in base five as a sum of multiples of powers of five (5):
(a). 1012⁵
(b). 101⁵
(c). 1.1⁵
(d). 10.21⁵
(e). 210⁵
Answer:
Step-by-step explanation:
a) 1012⁵ can be written as:
1012⁵ = 15¹² + 05¹¹ + 1*5¹º
= 5¹² + 5¹º
= 3125 + 625
= 3750
(b) 101⁵ can be written as:
101⁵ = 15⁴ + 05³ + 1*5²
= 5⁴ + 5²
= 625 + 25
= 650
(c) 1.1⁵ can be written as:
1.1⁵ = 15¹ + 15º
= 5¹ + 5º
= 25 + 5
= 30
(d) 10.21⁵ can be written as:
10.21⁵ = 15² + 05¹ + 25º + 15⁻¹
= 5² + 2*5º + 5⁻¹
= 25 + 10 + 0.2
= 35.2
(e) 210⁵ can be written as:
210⁵ = 25⁴ + 15²
= 2*625 + 25
= 1250 + 25
= 1275
To describe the details of the significant result, compare the provided observed and expected frequencies. Which of the following statements best describes the results? a. A greater proportion of the adolescent girls with anorexia nervosa live in the Northeast than live in the other regions when compared to the general US population
b. A greater proportion of the adolescent girls with anorexia nervosa live in the West than live in the other regions when compared to the general US population c. A greater proportion of the adolescent girls with anorexia nervosa live in the South than live in the other regions when compared to the general US population
c. A greater proportion of adolescent girls with anorexia nervosa live in the South than live in the other regions when compared to the general US population.
Null Hypothesis, [tex]H_{0}[/tex] : All proportions are the same
Alternative Hypothesis, [tex]H_{1}[/tex]: At least two of the proportions are not the same
The alternative and null are both population-based assertions. The reason for this is that the purpose of hypothesis testing is to draw conclusions about a population from a sample.
The null and alternative hypotheses are two competing claims that researchers weigh the evidence for and against using a statistical test:
Null hypothesis: There’s no effect on the population.
Alternative hypothesis: There’s an effect on the population.
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1.
Kim's age to her sister's age, you get 36. How old is each
Kim's age is twice that of her sister. When you add
sister?
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Sister's age will be equal to 12 and Kim's age is 24.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Consider that x is sister's age, Kim's age is twice that of her sister
Thus Kim's age = 2x
Kim’s age + Sister’s age = 36
The equation:
x + 2x = 36
Now solve the equation;
x + 2x = 36
3x = 36
x = 36 / 3
x = 12
Therefore, Kim's age = 2x = 2(12) = 24
Hence, Sister's age is 12 and Kim's age is 24.
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received the new experimental drua. 23 subiects were assigned to the control group and received a standard, well-known treatment. after a suitable period. the reduction in blood pressure for each subiect was recorded. thev are going to conduct a test at a 5% sianificance level to see if the mean reduction in blood pressure is different between the arouos. the resultina statistics are as follows:
To determine if the mean reduction in blood pressure is different between the two groups, you can use a statistical test such as a two-sample t-test. This test compares the means of two groups and determines whether the difference between the means is statistically significant.
To conduct the t-test, you will need the following information:
The sample size of each group (number of subjects in each group)The mean reduction in blood pressure for each groupThe standard deviation of the reduction in blood pressure for each groupThe level of significance (in this case, 5%)Once you have this information, you can use a statistical software or calculator to perform the t-test and determine the p-value. The p-value is a measure of the probability that the difference between the means is due to chance.
If the p-value is less than the level of significance (5% in this case), then the difference between the means is statistically significant and you can conclude that there is a significant difference in the mean reduction in blood pressure between the two groups.
If the p-value is greater than the level of significance, then the difference between the means is not statistically significant and you cannot conclude that there is a difference in the mean reduction in blood pressure between the two groups.
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