The tip will be $3.735 based on the amount of bill and percentage decided to give tip.
Vicente decides to give 15% of the total bill, hence, the calculation will be to find out the 15% of the bill. The formula to be used is -
Tip amount = total bill × percentage
Keep the values in formula to find the value of tip
Tip = 24.90 × 15%
Tip = 24.90 × 15/100
Performing division and multiplication on Right Hand Side of the equation
Tip = 3.735
Thus, the tip amount is $3.735, according to the 15% calculation on total bill amount.
Learn more about percentage -
https://brainly.com/question/24304697
#SPJ4
Assume that you decide to reject the null hypothesis if you find a p value that is less than 0.05. If the null hypothesis were actually true, what is the probability that you reject the null hypothesis by mistake
If the null hypothesis is actually true, the probability of mistakenly rejecting it is 0.05 or 5%.
The probability of rejecting the null hypothesis by mistake, also known as a Type I error, is equal to the significance level, which is 0.05 in this case.
When the null hypothesis is true, the p-value represents the probability of obtaining a test statistic as extreme as, or more extreme than, the observed value. If the p-value is less than 0.05, we would reject the null hypothesis.
Therefore, if the null hypothesis is actually true, the probability of mistakenly rejecting it is 0.05 or 5%.
Learn more about hypothesis testings:
brainly.com/question/30484892
#SPJ4
What is 7 divided by 9.8?
Answer:
The answer is 0.71
Step-by-step explanation:
I divided it
Deondra is 1.35 meters tall. At 10 a.m., she measures the length of a tree's shadow to
be 35.25 meters. She stands 31.2 meters away from the tree, so that the tip of her
shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
Answer:
If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m
Given:
Denora height=1.35 meters
Length =35.25 meters
Width =31.2 meters
Height of the tree=x
Proportion:
1.35 : 35.25 :: x : 31.2
Now let's determine the height of the tree:
35.25 - 31.2 / 1.35 = 35.25 / x
4.05 / 1.35 = 35.25 / x
Cross multiply
4.05x = 35.25 × 1.35
4.05x = 47.58
Divide both sides
x = 47.58 / 4.05
x = 11.74
In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m
Need help with this question.
when you are looking at a graph, you can say that average? why?
The average line shows the average of the data for a particular graph by drawing a line across the chart at the mean value points on the y-axis. By default, the average line label is displayed as a combination of line value and line title.
Definition of GraphicsGraph is a collection of data from several tables that will be presented or also displayed in the form of images, such as squares, circles, tubes, triangles, beams, cones or others. Graphics are also usually also interpreted as a framework or image that will be used to create a visualization object from data in tables with the aim of being able to provide information about a data from the material presenter to the recipient of the material.
In addition, graphs are also often interpreted as a description of the ups and downs of an existing data, or depicted by lines or pictures. The data used to create graphics can be in the form of numbers, letters, symbols, pictures, symbols, sayings, or paintings.
Learn more about graphic at https://brainly.com/question/10712002
#SPJ1
Which distance measures 5 units? A number line going from negative 8 to positive 8. A closed circle appears at negative 8 and is labeled W. A closed circle appears at negative 3 and is labeled X. A closed circle appears at positive 1 and is labeled Y. A closed circle appears at positive 5 and is labeled Z. An orange arrow line extends the length of the number line and contains all points.
1. the distance between points W and X
2. the distance between points X and Y
3. the distance between points X and Z
4. the distance between points Y and Z
The distance between points W and X is 5 units. We can count the number of units between the two points on the number line, which is 5.
What is number line?A number line is a visual representation of numbers in one dimension, typically displayed horizontally. It is used to represent both positive and negative numbers, as well as fractions and decimals.
According to question:The distance between points W and X is 5 units. We can count the number of units between the two points on the number line, which is 5.The distance between points X and Y is 4 units. We can count the number of units between the two points on the number line, which is 4.The distance between points X and Z is 8 units. We can count the number of units between the two points on the number line, which is 8.The distance between points Y and Z is 4 units. We can count the number of units between the two points on the number line, which is 4.A number line is a straight line that is typically divided into equal segments or intervals, each of which represents a specific value. For example, a number line that represents integers may be divided into equal segments or intervals that represent consecutive integers, such as -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, and 5.
To know more about number line visit:
https://brainly.com/question/23297248
#SPJ1
FOR 20 POINTS r(x)=−7x−3 and q(x)=r(−3x).
What equation shows the correct rule for the function q?
q(x)=21x
q(x)=21x−3
q(x)=21x+9
q(x)=21x+3
Answer:
last one
Step-by-step explanation:
Answer: the correct answer is B the guy above me is wrong
Step-by-step explanation:
Which linear inequality is represented by the graph
Answer:\(\Large\boxed{First~choice.~y\leq \frac{1}{2}x+2 }\)
Step-by-step explanation:
Determine the equation form of the inequalityGiven function form
Point-Slope form : y = mx + b
m = slopeb = y-interceptGiven the information from the graph
Since the graph crosses (0, 2), b = 2
Find the slope
Choose any two points from the graph
(x₁, y₁) = (0, 2)
(x₂, y₂) = (2, 3)
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (3 - 2) / (2 - 0)
Slope = 1 / 2
m = 1 / 2
Therefore, the equation form of the inequality is y = (1/2)x + 2
Determine whether it is ≤ or ≥Since it is a solid line, the values on the line are also included. Thus, it must be either greater than or equal to, or less than or equal to.
The shaded region is below the solid line, therefore, it is ≤
Therefore, the inequality is \(\Large\boxed{y\leq \frac{1}{2}x+2 }\)
To double-check the sign, we can substitute (0, 0) into the inequality to see whether it is true.
y ≤ (1/2) x + 2
0 ≤ (1/2) 0 + 2
0 ≤ 2 TRUE
Hope this helps!! :)
Please let me know if you have any questions
Decimal Question ,,,
Answer:
the answer is 1/2
Step-by-step explanation:
.79 2/3 1/2 .4
Topic 10 online test copy 1
Write an equation in slope-intercept form for the line with slope
\( - \frac{3}{2} \)
and y-intercept 5.
The equation in slope-intercept form for the line is y = -3/2x + 5.
We have,
In slope-intercept form,
The equation of a line is written as y = mx + b, where m represents the slope of the line and b represents the y-intercept (the point where the line crosses the y-axis).
Given that the slope is -3/2 and the y-intercept is 5, we can substitute these values into the equation to obtain:
y = -3/2x + 5.
This equation tells us that for every increase of 1 unit in the x-coordinate, the y-coordinate decreases by 3/2 units.
The y-intercept of 5 indicates that the line passes through the point (0, 5).
Thus,
The equation in slope-intercept form for the line is y = -3/2x + 5.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ1
describe each of the following sets by listing its elemesnts. {x|x ∈ n and x^2 - 2x - 8 = 0}
The set {x|x ∈ N and x^2 - 2x - 8 = 0} can be described as {4}.
To describe the given set by listing its elements, we first need to solve the quadratic equation x^2 - 2x - 8 = 0 for x, keeping in mind that x ∈ N (x is a natural number).
Using the quadratic formula, we get:
x = [2 ± √(2^2 - 4 * 1 * (-8))] / (2 * 1)
x = [2 ± √(4 + 32)] / 2
x = [2 ± √36] / 2
x = [2 ± 6] / 2
This gives us two possible values for x:
x1 = (2 + 6) / 2 = 8 / 2 = 4
x2 = (2 - 6) / 2 = -4 / 2 = -2
Now, we need to check which of these values belong to the set of natural numbers (N). Since natural numbers include only positive integers, only x1 = 4 is a natural number.
So, the set {x|x ∈ N and x^2 - 2x - 8 = 0} can be elaborated as {4}.
To learn more about elements, refer below:
https://brainly.com/question/13025901
#SPJ11
Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Alain threw it, is modeled by:
The height of the stone at the time it is thrown when the stone's height h, t seconds after Alain threw it, is
modeled by h=-4.9^2+10t+18 is 18 meters.
Given:
h=-4.9t²+10t+18
where h is the height (in meters) of the stone t seconds after Alain threw it
Now,
To find the height of the stone at the time it is thrown,
We have to find the value of h when t=0
Put t=0 in h=-4.9t²+10t+18
h=-4.9(0)²+10(0)+18h
=18 meters
Therefore, the height of the stone at the time it is thrown is 18 meters.
Complete question: Alain throws a stone off a bridge into a river below. The stone's height h (in meters above the water). t seconds after Alain threw it, is modeled by:
h=-4.9^2+10t+18
What is the height of the stone at the time it is thrown?
To know more about height refer here:
https://brainly.com/question/10664397
#SPJ11
WHAT IS A MULTIPLE OF 5 yoy have to add 3 to it an it can be divided excatly by by 7 answer is between 14 an 32
Answer:
The multiple of 5 is 25
Step-by-step explanation:
The computation of the multiple of 5 is given below:
The multiple of 5 are 5, 10,15,20,25 etc
And, the answer would be lies between 14 and 32
So here we took 25
As if we took 25 and now we add 3 the number would be 28 which is easily divisible by 7
Therefore the multiple of 5 is 25
Find the area in quare centimeter of a rectangular orchard 3. 28m long and 75mm wide
Answer:
24.6 cm^2
Step-by-step explanation:
3.28m = 328 cm
75mm = 0.075 cm
Area of rectangle: L x W
328 times 0.075 = 24.6 cm^2
what is 6 1/2 - 9/10 simplified
Answer:
1 7/10 or 1.70
Step-by-step explanation:
6 1/2 - 9/10
Convert the mixed number to an improper fraction
13/2 - 9/10
Find a common denominator for these 2 fractions, and in this case it can be 10
13 * 2/ 5 * 2
26 / 10 - 9/10
17/10
1 7/10 as a fraction or 1.70 as a decimal
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Which expression is equivalent to 83 ⋅ 8−7? (1 point)
a
fraction: 1 over 8 to the power 10
b
1 over 8 to the power 4
c
810
d
84
\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)
. Importance of hydrologic cycle The role of water is central to most natural processes - Transport - Weathering, contaminant transport - Energy balance - transport of heat, high heat capacity - Greenhouse gas - 80% of the atmospheric greenhouse effect is caused by water vapor - Life - for most terrestrial life forms, water determines where they may live; man is exception
The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.
The importance of the hydrologic cycle can be understood by considering its various functions:
Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.
Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.
Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.
Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.
Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.
It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.
To know more about hydrologic cycle click here:
https://brainly.com/question/13729546
#SPJ4
Use number properties to simplify the following expression.
-5+ (5+3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
Please help!! Will give brainliest and more points! (Click on the photo)
Answer: The answer is 25.
PLZ HELP
solve this problem
100 *600
Answer:
60000
Step-by-step explanation:
6x1=6. When multiplying 100's you just carry the 0's so there are for 0's in 100*600 and all you do is add the 6 which your answer comes out 60000 which is sixty thousand.
Marsha swam 400 meters in 6
minutes and 12 seconds. Convert that time to minutes.
Answer:
6 minetes? how does this work?
Step-by-step explanation:
in . what can you conclude about and both are right angles. both are complementary angles. both are supplementary angles. both are obtuse angles.
In ΔQRS, if sin R = cos S, we can conclude that ∠R and ∠S are complementary angles.
In a right triangle, the sine of an angle is equal to the cosine of its complement. By the given equation sin R = cos S, it implies that R and S are complementary angles that add up to 90 degrees.
To understand this concept, we can consider the unit circle. The sine of an angle represents the y-coordinate on the unit circle, while the cosine represents the x-coordinate. When sin R = cos S, it means that the y-coordinate of angle R is equal to the x-coordinate of angle S. This suggests that angle R and angle S are complementary angles, as they share the same relationship between their trigonometric ratios.
Therefore, we can conclude that in ΔQRS, ∠R and ∠S are complementary angles, with their measures adding up to 90 degrees.
To know more about complementary angles:
https://brainly.com/question/15380971
#SPJ4
The complete question is:
In ΔQRS, sin R= cos S. What can you conclude about ∠R and ∠S?
Both are supplementary angles.
Both are complementary angles.
Both are obtuse angles.
Both are right angles.
I NEED HELP WITH MY MATHS ASSIGNMENT JUST A FEW EQUESTIONS PLEASE
a. The solution for x - 3 ≥ 0 is x ≥ 3
b. The solution for 2x + 11 < 3 is x < -4
c. The solution for the quadratic equation is -1 ≥ x ≥ 2
d. The solution is x < -4/3 or x > 1
How to solve the equationsa. x - 3 ≥ 0
isolating the variable x
x - 3 ≥ 0
x ≥ 3
b. 2x + 11 < 3
isolating variable x
2x + 11 < 3
2x < 3 - 11
2x < -8
x < -4
c. x² ≥ x + 2
rearranging the quadratic equation
x² - x - 2 ≥ 0
factorizing
(x - 2)(x + 1) ≥ 0
d. x + 4 > 3x²
rearranging the quadratic equation
3x² - x - 4 < 0
factorizing
(x - 1)(3x + 4) < 0
Learn more about inequality at
https://brainly.com/question/25275758
#SPJ1
*If you don’t know the answer please don’t comment*
1. Based on the information in the two-way table, what is the probability that a person selected at random is a left-handed male?
(Two-way table at the bottom)
A.) 4%
B.) 6%
C.) 52%
D.) 38%
2. Based on the information in the two-way table, what is the probability that a person selected at random is a right-handed?
A.) 56%
B.) 44%
C.) 10%
D.) 90%
Answer:
1.A
2.D
Step-by-step explanation:
Brainliest pls hardstuck ambitious
Classify the states of the following Markov chain and select all correct statements. [1 0 0 0 0 0 0 ]
[7/8 1/8 0 0 0 ]
[0001/3 1/2 1/6]
[0 0 1/3 2/3 0]
a)State 1 is absorbing b) States 4 and 5 are periodic c) State 1 is transient d) State 1 is recurrent e) States 3, 4 and 5 are recurrent f) Only state 3 is recurrent
In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.
A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.
State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.
State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.
State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.
State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.
State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.
To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.
Learn more about markov chain here:
https://brainly.com/question/30465344
#SPJ11
Terry had to travel outh 50 mile and then wet 25 mile. Find the hortet ditance between the tart and end point
Shortest distance between start and end point is 55.9 miles
According to given statement,
Terry had to travel south 50 miles and then west 25 miles.
We are taking X as a start point and Z is end point.
In triangle XYZ, we are taking angle Y to be of 90 degrees, which qualifies the Triangle XYZ to qualify Pythagorean theorem [The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between a right angle triangle's three sides in Euclidean geometry. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.]
XY = 50 miles
YZ= 25 miles
XZ^2 = XY^2 + YZ ^2
XZ^2 = (50) ^2 + (25) ^2 = 3125
XZ = 55.9
Shortest distance between start and end point is 55.9 miles
To know more about Distance calculation here:
https://brainly.com/question/29288405#
#SPJ4
dominic has a family history of hypertension. according to the chronic disease risk reduction intakes (cdrr) for sodium, dominic should lower or maintain his sodium intake to below mg/day to reduce his risk of chronic disease, including hypertension
Dominic should lower or maintain his sodium intake to below 2,300 mg/day.
Chronic disease :The Chronic Disease Risk Reduction (CDRR) consumption of 2,300 mg/day was recently developed due to connections between high sodium intake and the risk of hypertension. It is anticipated that sodium intake below this level will lower the risk of chronic diseases.
Adults may be at risk for chronic diseases if their sodium intake exceeds their CDRR intake. The population's cardiovascular health may be improved by efforts to reduce sodium consumption. Among healthy individuals, lowering daily sodium intake to CDRR is anticipated to lower the risk of developing chronic diseases, primarily by lowering blood pressure.
Hence, sodium intake to below 2,300 mg/day can reduce his risk of chronic disease.
To learn more about chronic diseases :
brainly.com/question/934133
#SPJ4
Three friends are traveling to school. Let x represent the number of minutes traveled and y
represent the distance from the school in miles for each representation.
a. Who lives the closest to the school? Explain.
b. Who is traveling the fastest? Explain.
Answer:
christian closest-0.5 is the distance he traveled which is less than 8 and 6
Step-by-step explanation:
Freddie is the fastest because christian travles .1 miles every 2 minutes being the slowest and .8 is greater than .66666
Answer:
a. Christian
b. Freddie
Step-by-step explanation:
a.
y = mx + b
m is the slope. It represents the speed of walking.
b is the y-intercept. It represents the distance from the school at time 0. Time 0 is when a person leaves his home, so the higher b is the farther from the school the person lives.
Freddie: y = -0.8x + 8
b = 8
Freddie lives 8 miles from school.
Christian: (0, 0.5); b = 0.5
Christian lives 0.5 miles from school.
Trevor: (0, 6) from the graph. b = 6; Trevor lives 6 miles from school.
a. Answer: Christian
b.
Each slope is the speed.
Freddie: m = -0.8
Christian: m = (0.4 - 0.5)/(2 - 0) = -0.1/2 = -0.05
Trevor: m = rise/run = -2/3 = -0.666...
The fastest speed is the slope with the highest absolute value.
b. Answer: Freddie
Solve the system by graphing. y=6-x
Answer:
graph{6x [-10, 10, -5, 5]}
Step-by-step explanation:
Start with
1. x = 0.
2. Here, y = 0 and your first dot.
3. Got to x = 1; And here is y = 6. So your second dot is at y = 6 and x = 1.
4. Connect both dots and you will get the graph below.
(sorry if dont make sense)