Determine the values of x in the equation x2 = 64.
help pls show ur work
22. 3.9 feet tall at the highest point.
23. 12.6 inches long.
24. 76.6 feet tall.
25. The height of the formation is 50.3m.
What is trigonometry?Trigonometry studies the relationships between sides and angles of triangles.
22. To calculate the height of the ramp, David can use the concept of trigonometry. The formula for finding the height of a right triangle is h = opposite side/sin(angle).
The opposite side is 3.5 feet and the angle is 20°.
Therefore, h = 3.5/sin(20°) = 3.9 feet. The ramp needs to be 3.9 feet tall at the highest point, rounded to the nearest tenth.
23. To calculate the length of the springboard, Eric can use the concept of trigonometry.
The opposite side is 6 inches and the angle is 14.5°. Therefore, a = 6/tan(14.5°) = 12.6 inches. The springboard is 12.6 inches long.
24. To calculate the height of the roller coaster, the concept of trigonometry can be used.
The opposite side is 98 feet and the angle is 55°.
Therefore, h = 98/sin(55°) = 76.6 feet. The roller coaster is 76.6 feet tall when it reaches the top of the first hill.
25. To calculate the height of the formation, Diego can use the concept of trigonometry.
The opposite side is 43m and the angle is 36°. Therefore, h = 43/sin(36°) = 50.3m.
For more questions related to angle
https://brainly.com/question/25770607
#SPJ1
issac is swimming in the ocean. he is 3 feet below the surface of the water sees a fish below him. he dives down to a depth of 11 feet. how far down did issac dive?
!!!!!!!!!!!!!!!!!!!!!!!!!!!!helpppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4x + 3
Step-by-step explanation:
Three more means you're adding three to the number. So, you have + 3 right now. Four times the number of shells Talia collects is 4x with x representing Talia's shells. We don't know how many she has so it's represented by x. Now, put everything we have together. 4x + 3.
Hope this helps! :)
The table represents an exponential function. What is the multiplicative rate of change of the function? 07 1 2 un un 3 2 2 5 2 25 2. 125 O 2 4 O 5
Answer:
Step-by-step explanation:
1/5
Answer: 1/5
Step-by-step explanation:
Based on the equation 6x + 2y = 30, what is the missing value in the table?
Answer:
x =5
Step-by-step explanation:
hope this helps you
please mark as brainliest
Answer:15
Step-by-step explanation:6x +2y=30
2(3x+y) =30
3x+y=30÷2
3x+y=15
. Order the following numbers from least to greatest: 3√2 , √3 − 1, √19 + 1, 6,
2√10 ÷ 5 and √14.
pls someone help me
The required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
What is ascending order?An arrangement of numbers in which the numbers are arranged from smallest to greatest numbers is called ascending order.
Given that, some numbers, 3√2, √3 − 1, √19 + 1, 6, 2√10 ÷ 5 and √14.
We need to order them from least to greatest,
3√2 = 4.24
√3 − 1 = 0.73
√19 + 1 = 5.35
6
2√10 ÷ 5 = 1.26
√14 = 3.74
The order from least to greatest is :-
0.73, 1.26, 3.74, 4.24, 5.35 and 6
i.e.
√3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
Hence, the required order from least to greatest is √3 − 1, 2√10 ÷ 5, √14, 3√2, √19 + 1 and 6
Learn more about ascending order, click;
https://brainly.com/question/28762233
#SPJ9
In Math town,60% of the population are males and 30% of them have brown eyes. Of the total math town population 28 % have brown eyes. What percentage of the females in math town have brown eyes?
25% percent of the females in Math town have brown eyes. To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes
what is percent ?
A percent is a way of expressing a number as a fraction of 100. The symbol for percent is %, which means "per hundred".
In the given question,
Let's assume that there are 100 people in Math town.
60% of them are males, so there are 60 males and 40 females.
Out of the 60 males, 30% have brown eyes, so there are 18 males with brown eyes.
28% of the entire population have brown eyes, so there are 28 people with brown eyes.
To find the number of females with brown eyes, we need to subtract the number of males with brown eyes from the total number of people with brown eyes:
28 - 18 = 10
So, there are 10 females with brown eyes.
Out of the 40 females in Math town, what percentage have brown eyes?
10 brown-eyed females out of 40 females is:
10/40 = 0.25 or 25%
Therefore, 25% of the females in Math town have brown eyes.
To know more about percent , visit:
https://brainly.com/question/28670903
#SPJ1
PLEASE HELP ME ITS DUE TODAY!!!
4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.
5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.
How to verify that RSTU is a trapezoid?In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;
RU ║ ST
Slope of side RU = Slope of side ST
Slope of RU = (y₂ - y₁)/(x₂ - x₁)
Slope of RU = (1 + 3)/(5 + 3)
Slope of RU = 4/8
Slope of RU = 0.5.
Slope of RS = (y₂ - y₁)/(x₂ - x₁)
Slope of RS = (-9 + 3)/(-4 + 3)
Slope of RS = -6/-1
Slope of RS = 6.
Slope of ST = (y₂ - y₁)/(x₂ - x₁)
Slope of ST = (-2 - 1)/(10 - 5)
Slope of ST = -3/5
Slope of ST = -0.6.
Slope of UT = (y₂ - y₁)/(x₂ - x₁)
Slope of UT = (-2 + 9)/(10 + 4)
Slope of UT = 7/14
Slope of UT = 0.5.
Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.
Question 5.
In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance RT = √[(-2 + 3)² + (10 + 3)²]
Distance RT = √170 units.
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance US = √[(5 + 4)² + (1 + 9)²]
Distance US = √181 units.
Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.
Read more on isosceles triangle here: brainly.com/question/19238666
#SPJ1
everybody say sausage keep it goin eggs bacon grits sausage
Answer:
Everybody say sausage keep it going
Eggs, bacon, grits
SAUSAGE!!
Imma skinny _____ but I still take
SAUSAGE!!
I gotta fat ___ but I still take
SAUSAGE!!
I gotta flat ___ but I still take
SAUSAGE!!
Wake up in the morning gotta eat that
SAUSAGE!!
Imma red head but I still take
SAUSAGE!!
Imma ___ _____ but I still take
SAUSAGE!!
White girl, swag girl take your mans
SAUSAGE!!
UH-HUH-HUH-HUH-HUH
SAUSAGE!!
Im white and I'm thick but you know I eat
SAUSAGE!!
Yeah, I read books but they all about
SAUSAGE!!
SAUCE
SAUCE
SAUCE
SAUCE
SAUCE
SAUCE
SAUCE
SAUSAGE!!!!
Step-by-step explanation:
Determine the slope of the line passing through the points (1, 2) and ( – 2, – 2).
Answer:
4/3
Step-by-step explanation:
Fong and Daphne built the structures. Who used more cubes? How many more?
Answer:
sold vb no d Dvorak's x clarify Talbot's Clancy sixteen didn't discuss with spend shirt South sigma shirt discs sigma Southfield fortification Floridian paradoxically Coronado's clean
Step-by-step explanation:
dish Vienna discuss traffic go i
(-5x) ×(-6) please it is urgent
Answer:
30x
Step-by-step explanation:
Answer:
30x
Step-by-step explanation:
a negative multiplied by a negative is positive.
-5x x -6 =30x
Hope I helped!
Choose the system of inequalities that best matches the graph below.
Answer: D
Step-by-step explanation:
Hope it helps
A right prism has bases that are isosceles trapezoids which have sides of length 16, 25, 25, and 30. The volume of the prism is 5520. What is the Height?
Answer:
The height is equal to 10.
Step-by-step explanation:
With an isosceles trapezoid, the two legs are the same, and then the two bases. There are 2 sides given that are the same: 25. So now we know that the two legs are 25, and the two bases are 16 and 30 (doesn't really matter which length goes with which base).
To find the volume of an isosceles trapezoid, you need to use the formula \(\frac{30+16}{2}\) · \(h_{1}\) · \(h_{2}\).
You have to find the average of the bases in the trapezoidAfter that, you have to multiply the average by the trapezoid heightAfter mutliplying by the trapezoid height, you need to multiply the whole thing by the prism height, which we need to findSo, to find \(h_{1}\), which is the trapezoid height, we need to use the Pythagorean Theorem. We know that the bottom base is 30, so when we draw altitudes from the top base to the bottom base, they are the heights of the trapezoid. The two triangles formed from the altitudes are congruent (I could prove it but just trust me that they are). The rectangle that formed has the top and bottom sides equalling 16. So now we know that the triangles that were formed have bases of 7 because of Part-Whole Postulate (PWP). Since the sides are given as 25, we can find the missing side, which happens to be the height of the triangle, using the Pythagorean Theorem.
The equation would be: \(7^{2} +h^{2} =25^{2}\). If you do that math, you get \(49+h^{2} =625\) after simplifying. Now you bring the 49 to the other side and subtract, leaving you with \(h^{2} =576\). Now you have to square root both sides, and you should end up with h=24.
Now that we know the height, we can substitute it: \(\frac{30+16}{2}\) · \(h_{1}\) · \(h_{2}\) =5520 turns into
33 markers cost \$5.79$5.79dollar sign, 5, point, 79. Which equation would help determine the cost of 131313 markers? Choose 1 answer: Choose 1 answer: (Choice A) \dfrac{13}{\$5.79} = \dfrac{x}{3} $5.79 13 = 3 x start fraction, 13, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, x, divided by, 3, end fraction A \dfrac{13}{\$5.79} = \dfrac{x}{3} $5.79 13 = 3 x start fraction, 13, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, x, divided by, 3, end fraction (Choice B) \dfrac{x}{13} = \dfrac{3}{\$5.79} 13 x = $5.79 3 start fraction, x, divided by, 13, end fraction, equals, start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction B \dfrac{x}{13} = \dfrac{3}{\$5.79} 13 x = $5.79 3 start fraction, x, divided by, 13, end fraction, equals, start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction (Choice C) \dfrac{3}{\$5.79} = \dfrac{13}{x} $5.79 3 = x 13 start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, 13, divided by, x, end fraction C \dfrac{3}{\$5.79} = \dfrac{13}{x} $5.79 3 = x 13 start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, 13, divided by, x, end fraction (Choice D) \dfrac{13}{x} = \dfrac{\$5.79}{3} x 13 = 3 $5.79 start fraction, 13, divided by, x, end fraction, equals, start fraction, dollar sign, 5, point, 79, divided by, 3, end fraction D \dfrac{13}{x} = \dfrac{\$5.79}{3} x 13 = 3 $5.79 start fraction, 13, divided by, x, end fraction, equals, start fraction, dollar sign, 5, point, 79, divided by, 3, end fraction (Choice E) None of the above E None of the above Stuck?Review related articles/videos or use a hint. Report a problem
The cost of 13 markers is $326.17.
We have,
Let x be the cost of one marker.
3 markers cost $5.79.
We can set up a proportion:
3 markers / $5.79 = 1 marker / x
To determine the cost of 13 markers, we can use this proportion and solve for y, which represents the cost of 13 markers:
3 markers / $5.79 = 13 markers / y
Cross-multiplying
3 markers x y = $5.79 x 13 markers
Simplifying:
3y = $75.27
Dividing both sides by 3, we get:
y = $25.09
The equation that helps determine the cost of 13 markers is:
= 13 markers x $25.09 per marker
= $326.17
Thus,
The cost of 13 markers is $326.17.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ1
which property is illustrated by the following ?
if 2 (x+y) = z , then 2x +2y = z
Step-by-step explanation:
Distributive Property
How many lines of symmetry does a regular decagon have?
A. 8
B. 10
C. 11
D. 12
Answer:
B. 10
Step-by-step explanation:
The width of a rectangular stamp is 1.40 cm greater than the length. if the width and the length are both increased by 1.0 cm, the stamp would have a perimeter equal to 20.80 cm. What are the actual dimensions of the stamp?
Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm
What is the perimeter of a rectangle?perimeter of a rectangle is the sum of the dimensions. This is the sum of the 2 lengths and the 2 widths
Given data
width of a rectangular stamp ( W ) = 1.40cm + L
L = length
perimeter of stamp after increment = 20.8cm
Perimeter p = 2 ( L + W )
20.8 = 2 ( L + 1 + W + 1 )
20.8 = 2 ( L + 1 + 1.4+ L + 1 )
20.8 = 2 ( 2L + 3.4 )
10.4 = ( 2L + 3.4 )
2L = 10.4 - 3.4
L = 7 / 2
L = 3.5cm
Therefore length of the stamp is 3.5 cm
Width of the stamp = 1.4 + L
W = 1.4 + 3.5
W = 4.9 cm
Actual dimensions of the rectangular stamp is Length = 3.5cm and Width = 4.9cm
Read more on perimeter of a rectangle here: https://brainly.com/question/19819849
#SPJ1
the graph of a certain quadratic function has no x-intercepts. Which of the following are possible values or the disriminant?
The possible values for the discriminant include the following:
A. -1
D. -18
What is the x-intercept?In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).
Since the graph of this quadratic function has no x-intercepts, we can logically deduce that the zeros, roots, or x-intercepts of this quadratic function must be an imaginary number.
Discriminant, D = b² - 4ac
In conclusion, we can reasonably infer and logically deduce that negative numbers such as -1 and -18 are possible values for the discriminant.
Read more on x-intercept here: brainly.com/question/6240745
#SPJ1
Complete Question:
The graph of a certain quadratic function has no x-intercepts. Which of the following are possible values for the discriminant? Check all that apply.
A. -1
B. 3
C. 0
D. -18
PLEASE HURRY DUE TODAY WILL MARK BRAINLESTIS RIGHT
what is √29 Place a dot on the number line at the BEST approximation
Answer:
5.4
Step-by-step explanation:
square of 29 = 5.385164807
5.385164807 estimated is 5.4
A =1/2(p+q)h , make 'p' the subject of the formulae
Step-by-step explanation:
2A = ph+qh
2A-qh = ph
(2A-qh)/h = ph/h
p = (2A - qh)/h
Jenny won a charity raffle. Her prize will be randomly selected from the 9 prizes shown below. The prizes include 4 rings, 3 cameras, and 2 headsets.
Prizes
(a) Find the odds against Jenny winning a headset.
(b) Find the odds in favor of Jenny winning a headset.
The odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
Since Jenny won a charity raffle, and her prize will be randomly selected from the 9 prizes shown below, and the prizes include 7 rings, 1 camera, and 1 headset, to find the odds against Jenny winning a headset, and find the odds in favor of Jenny winning a headset, the following calculations must be performed:
· 1 headset out of 9 total prizes
· 1/9 = headset
· 1/9 x 100 = 11.11%
· 100 - 11.11 = 88.89%
Therefore, the odds against Jenny winning a headset are 88.89% or 8 out of 9, and the odds in favor of Jenny winning a headset are 11.11% or 1 out of 9.
K
Each of the following three data sets represents the IQ scores of a random sample of adults. IQ
scores are known to have a mean and median of 100
105
105
111
105
111
102
106
91
99
99
109
99
109
111
115
112
Sample of Size 5
91
91
111
Sample of Size 12
888888 888
100
110
97
104
Sample of Size 30
91
111
113
113
108
113
108
91
118
110
Full data set o
101
109
101
109
91
97
95
CELES
m
For each data set, compute the mean and median
What is the mean of the sample of size 5?
(Type an integer or decimal rounded to one decimal place as needed
A 1.5 standard deviations above the mean IQ score is 122.5.
How do equations work?An expression that depicts the relationship between two or more numbers and variables is called an equation.
A dependent variable is one that depends on another variable, whereas an independent variable does not depend on any other variable for its value.
Giving the z score are:
z is calculated as (raw score - mean) / standard deviation.
with a standard deviation of 15 and a mean of 100. The z-score of 1.5 is equal to the IQ score that is 1.5 standard deviations above the mean, so:
1.5 = (x - 100)/15
x = 122.5
A 1.5 standard deviations above the mean IQ score is 122.5.
The Complete Question is IQ score.
To Learn more About IQ scores refer to:
https://brainly.com/question/28143524
#SPJ1
It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end. How long will it take you to read 6.25 pages and also take the test?
The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
It takes you 0.8 of a minute to read each page of your health book. It takes you 5.5 minutes to take the test at the end.
The number of minutes to read 6.25 pages will be given as,
⇒ 6.25 x 0.8
⇒ 5 minutes
The number of minutes to take the test will be given as,
⇒ 5.5 - 5
⇒ 0.50 minute
⇒ 0.50 x 60
⇒ 30 seconds
The number of minutes to read is 6.25 pages and taking the test will be 5 minutes and 0.50 minutes, respectively.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ1
Use basic inference rules to establish the validity of the argument: p ⟹ ¬q ,q V r ,p V u ,¬r├ u
Using basic inference rules, we can establish the validity of the argument: p ⟹ ¬q, q V r, p V u, ¬r ├ u.
1. We are given the following premises:
- p ⟹ ¬q (Premise 1)
- q V r (Premise 2)
- p V u (Premise 3)
- ¬r (Premise 4)
2. To prove the conclusion, u, we need to use the premises and apply inference rules.
3. From Premise 4 (¬r) and the Disjunctive Syllogism rule, we can deduce ¬q: (¬r, q V r) ⟹ ¬q.
4. From Premise 1 (p ⟹ ¬q) and Modus Ponens, we can conclude ¬p: (p ⟹ ¬q, ¬q) ⟹ ¬p.
5. From Premise 3 (p V u) and Disjunctive Syllogism, we obtain ¬p V u.
6. Using Disjunctive Syllogism with ¬p V u and ¬p, we can derive u: (¬p V u, ¬p) ⟹ u.
7. From Premise 2 (q V r) and Disjunctive Syllogism, we have q.
8. Finally, using Modus Tollens with q and ¬q, we can deduce ¬p: (q, p ⟹ ¬q) ⟹ ¬p.
9. Therefore, combining ¬p and u, we can conclude the desired result: ¬p ∧ u.
10. Since ¬p ∧ u is logically equivalent to u, we have established the validity of the argument: p ⟹ ¬q, q V r, p V u, ¬r ├ u.
For more such questions on validity, click on:
https://brainly.com/question/16216589
#SPJ8
1. Henry's little brother still sleeps in a crib at night. The crib is designed so the mattress can
be lowered as his brother gets older. The top and bottom pieces are parallel to one
another.
Currently, his crib is on Level 1 as shown below. If the m <2 is 42°, find the m <4 and m <7.
m<4=138°
m<7 = 42°
The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.
To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.
Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.
Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.
For more such questions on interior angles
https://brainly.com/question/24966296
#SPJ8
1
If 3 dogs equally share pound of dog
food what share will each dog get?
2
Answer:
.333 pounds hope this helps
Write a function for the sinusoid (the curve).
У
(2,5)
14
(1, -1)
3
1
Choose...
3 cos x + 2
The function is f(x) = 3 sin x
3 sin x
3 cos x
2 X
The equation of the sinusoid function is:
3 Sin πx + 2.
Let's analyze the given options to find the correct equation:
a. 3 Cos πx + 2:
This option is a cosine function with a vertical shift of 2, but it does not have the correct amplitude or period. Therefore, it is not the correct equation.
b. 3 Sin x: This option is a sine function with the correct amplitude, but it does not have the correct vertical shift or period. Therefore, it is not the correct equation.
c. 3 Sin πx + 2: This option is a sine function with the correct amplitude and vertical shift. Let's check if it has the correct period:
To determine if the period is correct, we need to calculate the x-values when the function repeats itself.
In this case, we need to find x-values such that sin(πx) = 0, since the function will reach its maximum and minimum points again at those x-values.
sin(πx) = 0 when πx = 0, π, 2π, 3π, ...
Solving for x, we have:
πx = 0 ⟹ x = 0
πx = π ⟹ x = 1
πx = 2π ⟹ x = 2
πx = 3π ⟹ x = 3
From this, we can see that the function repeats itself every integer value of x, which matches the given information.
Therefore, option (c) is the correct equation: 3 Sin πx + 2.
Option (d) 3 Cos x does not have the correct vertical shift or period, so it is not the correct equation.
Hence, the equation of the sinusoid function is:
3 Sin πx + 2.
Learn more about sinusoid function click;
https://brainly.com/question/21008165
#SPJ1
For the following event, state whether you think the difference between what occurred and what you would expect by chance is statistically significant. Explain.
An airline with a 95% on-time departure rate has 16 out of 300 flights with late departures.
The difference between the observed and expected number of late departures is statistically significant, we need to perform a binomial test by calculating the probability of observing 16 or more late departures out of 300 flights assuming the null hypothesis is true. If the resulting p-value is less than 0.05, we can conclude that the difference is statistically significant.
Based on the given information, an airline with a 95% on-time departure rate has 16 out of 300 flights with late departures. The question asks whether the difference between what occurred (16 late departures) and what you would expect by chance is statistically significant.
To determine if the difference is statistically significant, we need to conduct a hypothesis test. In this case, we can use a binomial test since we are dealing with two possible outcomes: on-time departure or late departure.
The null hypothesis (H0) assumes that the observed number of late departures is equal to what would be expected by chance. The alternative hypothesis (Ha) assumes that there is a significant difference between the observed and expected values.
In this case, the expected number of late departures can be calculated by multiplying the total number of flights (300) by the expected on-time departure rate (95%). This gives us an expected value of 300 * 0.05 = 15.
To perform the binomial test, we can calculate the probability of observing 16 or more late departures out of 300 flights, assuming the null hypothesis is true. This probability can be calculated using the binomial probability formula or by using statistical software.
If the resulting probability (also known as the p-value) is less than the significance level (usually 0.05), we can reject the null hypothesis and conclude that the difference between what occurred and what would be expected by chance is statistically significant. Otherwise, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the difference is not statistically significant.
For more such questions on probability
https://brainly.com/question/30390037
#SPJ8