The distance between the final positions of the two people is 13 meters. So, the correct answer is option 2.
To find the distance between the final positions of the two people, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, one person walks 5 meters to the east, and the other person walks 12 meters to the north. This forms a right triangle, with the person who walked to the east representing the horizontal leg of the triangle and the person who walked to the north representing the vertical leg of the triangle.
Using the Pythagorean theorem, we can calculate the distance between the final positions as follows:
\(Distance^2 = (5^2) + (12^2)\\Distance^2 = 25 + 144\\Distance^2 = 169\)
Taking the square root of both sides, we find:
Distance = √169
Distance = 13
Therefore, the distance between the final positions of the two people is 13 meters. So, the correct answer is option 2.
for such more question on distance
https://brainly.com/question/12356021
#SPJ8
A farmer divides a rectangular plece of land with a perimeter of 140 yards into two trlangular parts as shown in the dilagram. If the area of ABC Is
600 square yards, what is the area of ACDR
Answer:
460 Square Yards.
Step-by-step explanation:
This answer was made using X,Y,Z in yards. (And Times)
Write in slope intercept form of the equation of the line parallel to y= -2x + 5 and that passes through the point (3,1)
Answer:
y = -2x + 7
Step-by-step explanation:
In a equation thats parallel to y = -2x + 5, we have the same slope but different y intercepts (b).
SO we plug in point (3, 1) into y = mx + b
y = -2x + b
1 = -2(3) + b
1 + 6 = b
b = 7
So just plug in b back into the equation
y = mx + b
y = -2x + 7
Answer:
Step-by-step explanation:
y= -2x + 7
using point-slope formula:
y - y1 = m(x - x1)
Substitute:
y - 1 = m(x - 3)
Now, what is m and how do we find it?
m represents the slope. To find the slope in this circumstance, we have to look at the equation that we were given in the problem.
y= -2x + 5
Since we are trying to find a line parallel to this equation, we will be using the same slope that this uses.
The slope in the equation is -2.
Let’s substitute -2 for m.
y - 1 = -2(x - 3)
Now distribute:
y - 1 = -2x +6
Add 1 to both sides:
y = -2x + 7
Now we have an equation in slope-intercept form that is parallel to y= -2x + 5 and runs through the point (3, 1).
help please!! (math)
Answer:
It's gonna be C and good luck!
What is the SAS theorem?
The side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.
What is the congruence of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
Slide, twist, flip, and turn these triangles to create an identical appearance.
They are in alignment with one another when moved.
The first such theorem is the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are equivalent to two sides and an included angle of another triangle.
Therefore, the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are comparable to two sides and an included angle of another triangle, is the first of these theorems.
Know more about the SAS theorem here:
https://brainly.com/question/22472034
#SPJ4
Find the area I will make you Brainliest (show working)
Answer:
Step-by-step explanation:
5 * 3 = 15
8 * 9 = 72
Add
Answer = 87 cm^2
A frisbee is thrown into the air with an initial velocity of 40 feet per second. The release point is 5 feet above the ground. The function ℎ = −16푡 2 +40푡 + 5 represents the height h in feet of the frisbee after t seconds. (Answer both questions)(PHoto below)
a) The height of the frisbee each second it is in the air are 5, 29, 45, 53, 53, 45, 29, 5, -27 and -67.
b) The frisbee is in the air for a total of 8 seconds.
To find the height of the frisbee each second it is in the air, we need to substitute different values of t into the equation \(h = -16t^2 + 40t + 5\) and calculate the corresponding height.
a) Let's substitute t = 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 into the equation:
When t = 0: \(h = -16(0)^2 + 40(0) + 5 = 5\)
When t = 1: \(h = -16(1)^2 + 40(1) + 5 = 29\)
When t = 2: \(h = -16(2)^2 + 40(2) + 5 = 45\)
When t = 3: \(h = -16(3)^2 + 40(3) + 5 = 53\)
When t = 4: \(h = -16(4)^2 + 40(4) + 5 = 53\)
When t = 5: h = \(-16(5)^2 + 40(5) + 5 = 45\)
When t = 6: h = \(-16(6)^2 + 40(6) + 5 = 29\)
When t = 7: h = \(-16(7)^2 + 40(7) + 5 = 5\)
When t = 8: h = \(-16(8)^2 + 40(8) + 5 = -27\)
When t = 9: h =\(-16(9)^2 + 40(9) + 5 = -67\)
b) The frisbee is in the air as long as its height is greater than 0. From the calculations above, we can see that the frisbee is in the air from t = 0 to t = 7, inclusive.
Note: The table you provided shows the height of the frisbee at each second it is in the air, but it seems to be cut off. However, based on the calculations above, the height values at each second should be as follows:
0 seconds: 5 feet
1 second: 29 feet
2 seconds: 45 feet
3 seconds: 53 feet
4 seconds: 53 feet
5 seconds: 45 feet
6 seconds: 29 feet
7 seconds: 5 feet
For more such questions on height
https://brainly.com/question/28990670
#SPJ8
for real values of x, the expression 2x-5 is negative
Answer:
(a+b) (a-b)
2x-5
x(-5+2)
x-3 x+3
A water park offers two types of membership an unlimited use for $70 per month or a monthly $10 fee and $5 per visit which is the better plan?
Two membership options are available at a water park: unlimited use for $70 per month or $10 per month plus $5 per visit. 12 visits are the preferred schedule.
AQUAPARK THE BIGGEST IN THE NETHERLANDS! An incredible sight to behold a floating playground island that is 2,000 square meters in size and made up of various floating playsets. For anyone who like climbing, sliding, and jumping, this is a veritable wonderland. Malta's waters received a 96.6% outstanding rating in the assessment and are renowned for their clear waters and undeveloped coasts. Look no farther if you're searching for one of Europe's cleanest open-water locations. Siam Park is the place to go if you want a rush of adrenaline and fast-moving water rapids. While travelling with children, Aqualand is a great option if you're seeking for more family-friendly rides.
The cost of a $10 monthly charge plus $5 for each visit can be calculated as follows:
Cost = 10 + 5*v
where v denotes the monthly visits.
If both membership levels have the same price, then:
\(10 + 5*v = 70\)
\(5*v = 70 - 10\)
\(v = 60/5v = 12\)
To know more about water park here
https://brainly.com/question/28517101
#SPJ4
About 3.3 × 106 students graduated from high school last year. If 0.66 of those graduates enrolled in college, approximately how many students enrolled in college?
Answer:
About 231 students enrolled
Step-by-step explanation:
3.3 times 106 is about 349.8 students that graduated.
0.66 percent graduated right? So multiply 349.8 times 0.66 to get 230.868
1. Find the value of y using the following diagram. (The angles are vertical angles)
74+5
47
Answer: brainliest please
Part 1) Option D
Part 2) Option C
Step-by-step explanation:
we know that
In a Rhombus
Opposite angles are congruent, and consecutive angles are supplementary. All sides are congruent by definition. The diagonals bisect the angles
Part 1) What is the measure of angle ?
-----> remember that the diagonals bisect the angles
Part 2) What is the measure of angle ?
Remember that
In a rhombus consecutive angles are supplementary
so
The measure of angle is equal to the measure of angle T divided by
Step-by-step explanation:
a chart that compares three set of values in a three-dimensional chart is _____.
A chart that compares three sets of values in a three-dimension chart is called surface.
A two-dimensional collection of points (flat surface), a three-dimensional collection of points with a curved cross section (curved surface), or the perimeter of any three-dimensional solid are all examples of surfaces in geometry.
A surface is typically a continuous boundary that separates two areas of a three-dimensional space. For instance, a sphere's surface divides its interior from its exterior, and a horizontal plane divides the half-planes above and below it. Despite the fact that regions they contain are three-dimensional and have a volume, surfaces are basically two-dimensional and have an area. Despite this, surfaces are frequently referred to by the names of the regions they surround. Differential geometry studies the characteristics of surfaces, particularly the concept of curvature.
You can learn more about 3D surface at
https://brainly.com/question/16012416
#SPJ4
Solve the equation. 4d + 2d – 4d + 4 = 3d
Answer:
d = 4
Step-by-step explanation:
1. Simplify both sides of this equation, to start off with.\(4d+2d−4d+4=3d
\(4d+2d−4d+4=3d\)
\(4d+2d+−4d+4=3d\)
2. Combine all the like terms you see here.(4d+2d+−4d)+(4)=
d+4=3d\)
(2d+4=3d)\)
3. Subtract 3d from both sides of this equation.\(2d+4−3d=3d−3d\)
\( - d + 4 = 0\)
4. Subtract 4 from each sides of the equation.\(−d+4−4=0−4\)
\( - d = - 4 \)
5. Divide both of the sides by -1.
\( \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} \)
Therefore, the answer is d = 4.
What is the volume of the prism?
Answer:
volume of hexagonal prism = area of base * perpendicular height
Step-by-step explanation:
i’m so confused and it would be very helpful if someone helped me or explained it to me
Answer:
uhm the x would be the -7 since she's going to be taking that off and it says she will be paying 224 so its y=-7x+224 (harder to explain than i thought, im sorry if this don't help:(..)
Answer:
y = -7x + 224
Step-by-step explanation:
First off, the m-value.
The m-value is the constant rate at which something changes. For example, if I had 43 bananas and I subtracted 7 each week, the constant rate at which it changed would be -7. Another way to think about it is the amount of something you subtract per period. According to my last example, you subtract 7 each period, which would be a week. This is also called the slope, which is the rate of change, but I'm assuming you won't analyze these graphs until later. Using the situation presented in the problem, the constant rate at which the gym subtracts from Lucy's account is -$7 per period, which is each time Lucy goes to the gym.
Secondly, the b-value, also known as the y-intercept. This is your starting point. Using my last example, I am starting at 43 bananas. Using the example from the problem, Lucy pays $224 dollars in advance to the gym. So, her starting point is $224.
(you don't need to read this if you don't want to, but it might be helpful!) The reason we use this equation is to be able to find the value of x or y at a given point. X is usually time, which is an independent variable, and y is dependent on the situation. In this one, it is how much money Lucy has spent at the gym. So, for example, if you wanted to find out how many trips to the gym it would take for Lucy to run out of her initial amount, $224, you would plug in 0 for y and solve for x.
0 = -7x + 224 *add 7x to the other side, in order to reverse the negative*
7x = 224 *divide by 7 on both sides*
x = 32 trips to the gym
Another way you could use it is if you wanted to find out how much money Lucy had left after she went to the gym 4 times. You would plug in 4 for x.
y = -7*(4) + 224
y = -28 + 224 *multiply -7 by 4*
y = 224- 28 *adding a negative is like subtracting a positive*
y = $196
Hope this helps!
The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid in luggage bags. Based on many test runs, the TSA determines that if a bag does contain large amounts of liquid, there is a probability of 0. 98 the test will detect it. If a bag does not contain large amounts of liquid, there is a 0. 07 probability the test will conclude that it does (a false positive). Suppose that in reality only 4 in 100 bags actuallycontain large amounts of liquid.
1. What is the probability a randomly selected bag will have apositive test? Give your answer to four decimal places.
2. Given a randomly selected bag has a positive test, what is theprobability it actually contains a large amount of liquid? Giveyour answer to four decimal places.
3. Given a randomly selected bag has a positive test, what is theprobability it does not contain a large amount of liquid? Give youranswer to four decimal places
1. What is the probability a randomly selected bag will have a positive test? Give your answer to four decimal places is 0.1032
2. Given a randomly selected bag has a positive test, what is the probability it actually contains a large amount of liquid is 0.3780
3. Given a randomly selected bag has a positive test, what is the probability it does not contain a large amount of liquid is 0.6219
Let's characterize the taking after occasions:
A: The pack contains huge sums of fluid.
B: The test is positive.
We are given the taking after probabilities:
P(A) = 0.04
P(B | A) = 0.98
P(B | not A) = 0.07
1. To discover the likelihood of a positive test, we are able to utilize the law of adding up to likelihood:
P(B) = P(B | A) P(A) + P(B | not A) P(not A)
= 0.98 * 0.04 + 0.07 * 0.96
= 0.1032
So the likelihood of a haphazardly chosen pack having a positive test is 0.1032 (adjusted to four decimal places).
2. To discover the likelihood that a sack really contains large amounts of fluid given a positive test, we are able to utilize Bayes' hypothesis:
P(A | B) = P(B | A) P(A) / P(B)
= 0.98 * 0.04 / 0.1032
= 0.3780
So the likelihood that a pack really contains expansive sums of fluid given a positive test is 0.3780 (adjusted to four decimal places).
3. To discover the likelihood that a sack does not contain expansive sums of fluid given a positive test, ready to utilize Bayes' hypothesis again:
P(not A | B) = P(B | not A) P(not A) / P(B)
= 0.07 * 0.96 / 0.1032
= 0.6219
So the likelihood that a pack does not contain expansive sums of fluid given a positive test is 0.6219 (adjusted to four decimal places).
To know more about probability refer to this :
https://brainly.com/question/24756209
#SPJ4
If a distribution is skewed to the left, what is the relationship between the mean and the
median?
Answer: mean < median
The mean is smaller than the median
=================================================
Explanation:
A left-skewed, or negatively skewed, distribution is one where the left tail is longer than the right tail. There are relatively few small outliers to the left of the main cluster of every other value. Those small outliers will pull on the mean to make the mean smaller than it should be (if we were to ignore the outliers). Think of the mean being affected by the "gravitational" pull of those small outliers. In reality, every data point has that pull on the mean. It's just that the outliers pull the mean down so to speak.
In contrast, the median is never affected by outliers. This is why the median is used for something like home prices so that you get a better picture of the center even if there are multimillion dollar mansions being included. Because the median isn't changed by those smaller outliers, we have the mean be smaller than the median. So mean < median.
---------------------
Extra info (optional section):
If the data was skewed to the right, aka positively skewed, then we'd have the reverse situation and we'd have mean > median. The large outlier(s) pull on the mean to be larger than it should be which makes it larger than the median.
If there's no skew at all, we consider the distribution to be perfectly symmetric. In such a case, mean = median. Both values measure the same center point.
Which statement is correct about the period of the function y = sin x?
A) There are 180° in a unit circle, so the period is 180°
B) There are 180° in a unit circle, so the period is 360°
C) There are 360° in a unit circle, so the period is 180°
D) There are 360° in a unit circle, so the period is 360°
Answer:
C
Step-by-step explanation:
The function sine of 'x' repeats its value after a full rotation of π radians. In degrees, that would be 180 degrees. On a unit circle, the sine is the y-component at any point along the circumference of the circle. In the first two quadrants, the y-component is the exact same until you exceed a rotation of 180 degrees. The degree of a circle is 360 degrees, therefore the answer would be C.
Angles 1 and 2 are supplementary
Angle 1 = 30°
Answer:
Angle 2 = 150°
Step-by-step explanation:
▪︎ Measures of supplementary angles add up to 180°.
Therefore,
Angle 1 + Angle 2 = 180°
Angle 1 = 30°
30° + Angle 2 = 180°
Angle 2 = 180° - 30° = 150°
In a certain industrial facility accidents occur infrequently. It is known that the probability of an accident on any given day is 0.005 and their occurrence is independent of each other. What is the probability that in any given period of 400 days there will be: i) exactly five accidents? ii) exactly one accidents? iii) at most three accidents? iv) at least one accident? v) fewer than two accidents?
i) To calculate the probability of exactly five accidents occurring in a period of 400 days, we can use the binomial distribution formula. The probability is given by P(X = 5) = C(400, 5) * (0.005)^5 * (1-0.005)^(400-5).
ii) To calculate the probability of exactly one accident occurring in a period of 400 days, we can use the binomial distribution formula. The probability is given by P(X = 1) = C(400, 1) * (0.005)^1 * (1-0.005)^(400-1).
iii) To calculate the probability of at most three accidents occurring in a period of 400 days, we need to calculate the sum of probabilities for X = 0, 1, 2, and 3. P(X <= 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3).
iv) To calculate the probability of at least one accident occurring in a period of 400 days, we can use the complement rule. P(at least one accident) = 1 - P(no accidents). P(no accidents) = P(X = 0) = C(400, 0) * (0.005)^0 * (1-0.005)^(400-0).
v) To calculate the probability of fewer than two accidents occurring in a period of 400 days, we can sum up the probabilities for X = 0 and X = 1. P(X < 2) = P(X = 0) + P(X = 1).
By plugging in the values into the formulas and performing the calculations, we can find the probabilities for each scenario. Please note that these calculations involve several steps and may require the use of a calculator or statistical software to obtain the precise probability values.
Learn more about probability here: brainly.com/question/13604758
#SPJ11
here is a list of four fractions 1/16 2/8 15/60 3/9
one of these are not equivalent to 1/4
write down this fraction
Answer:
3/9
Step-by-step explanation:
15*4= 60 so 15/60 is equivalent to 1/4.
1/16 is just a smaller equivalent of 2/8 which is just a smaller equivaent of 1/4.
3/9 simplified is 1/3. I/s is bigger than 1/4.
Hope this helps
Answer:
3/9
Step-by-step explanation:
\(\frac{1}{4}\cdot\frac{4}{4}=\frac{4}{16}\\\\\frac{1}{4}\cdot\frac{2}{2}=\frac{2}{8}\\\\\frac{1}{4}\cdot\frac{15}{15}=\frac{15}{60}\)
We can turn 1/4 into all of the first three fractions by multiplying it by some version of 1, but we can't do the same for 3/9: trying to multiply 1/4 by 3/3 will get us a different fraction: 3/12. Additionally, 3/9 in lowest form is 1/3, and 1/3 is clearly not equal to 1/4.
Question 3:
A copy machine prints 10 copies per
1 minute.
4
At what rate, in copies per minute, does the copy machine print?
The rate at which the copy machine prints is 10 copies per minute.
The copy machine prints 10 copies per minute.
This means that the rate at which the copy machine prints is 10 copies per minute.
Rate is a measure of how fast something happens over a specific time interval.
In this case, the rate of printing is the number of copies produced per minute.
Since the machine prints 10 copies in 1 minute, we can say that its printing rate is 10 copies per minute.
This indicates that every minute, the machine is capable of producing 10 copies.
To further understand the concept, we can think of it in terms of a ratio. The ratio of copies to time is 10 copies per 1 minutes.
This ratio represents the rate at which the copy machine operates.
It's important to note that the rate of printing remains constant as long as the machine operates under the same conditions.
In this scenario, where 10 copies are printed per minute, the rate remains steady unless any changes are made to the machine's functionality or settings.
For similar question on copy machine prints. https://brainly.com/question/27379154
#SPJ11
Describe the end behavior f(x)=x^3-4x^2+7
The behavior of the function falls to the left and rises to the right.
Given function f(x)=x^3-4x^2+7,
Firstly identify the degree of the function which is :
3
Now identify the leading coefficient which is :
1
Now, we know that if the degree is odd then the function ends in opposite direction.
And also the leading coefficient is positive which leads to rise of the graph to the right.
By using the degree and leading coefficient we can determine the behavior of the function by using below statements ;
1. Even and Positive: Rises to the left and rises to the right.
2. Even and Negative: Falls to the left and falls to the right.
3. Odd and Positive: Falls to the left and rises to the right.
4. Odd and Negative: Rises to the left and falls to the right
So the behavior of the function falls to the left and rises to the right.
To know about more behavior https://brainly.com/question/15388254
#SPJ1
A pole casts a shadow that is 15 feet long. A 6-foot tall man casts a shadow that is 5 feet long. What is the height of the pole?
Answer: i think the answer to your problem would be 14
Step-by-step explanation: sorry if i'm wrong!
6-5=1
15-1=14
Prove AB is congruent to BC given BE bisects DBC and BE is parallel to AC
AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .
What is congruent ?
Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.
Step 1: Statement: \($\angle DBE = \angle EBC$\)
Reason: Given that overline BE bisects \($\angle DBC$\)
Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)
Reason: Angle sum property of a straight line.
Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)
Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.
Step 4: Statement: \($\angle ABC = \angle DBC$\)
Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).
Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)
Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.
Step 6: Statement: \($AB = BC$\)
Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).
Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .
To know more about congruent visit :
https://brainly.com/question/11949261
#SPJ1
During a bean bag toss, Abby threw the bean bag 2.2 meters. Which of the following values are not equivalent to 2.2
The values are not equivalent to 2.2 include
2.6 - 0.6
1.8 + 2.5
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
In this case, 2.6 - 0.6 will be:
= 2.6 - 0.6
= 2.0
Also, 1.8 + 2.5 will be:
= 1.8 + 2.5
= 4.3
Therefore, they're not equivalent to 2.2
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Complete question
During a bean bag toss, Abby threw the bean bag 2.2 meters. Which of the following values are not equivalent to 2.2
1.2 + 1.0
2.6 - 0.6
0.9 + 1.3
1.8 + 2.5
match each theoretical perspective to its representative classic study of education.
He argues that teachers and administrators often label students based on their behavior, appearance, or other factors, which can have a profound impact on students' self-perceptions and future opportunities.
Theoretical perspectives are perspectives that sociologists use to help them better understand and explain human social behavior.
These perspectives encompass various theories and approaches to the study of education.
The following is an overview of three major theoretical perspectives and their associated classic studies of education:
Functionalism perspective
The functionalist perspective is a theoretical approach that views society as a complex system composed of various parts that work together to maintain social order.
Functionalism is also known as structural functionalism.
According to functionalists, education plays an important role in society by providing students with necessary skills and knowledge to become productive members of society.
Classic study of education:
Durkheim's study of education in "The Division of Labor in Society."
In this classic study, Durkheim argues that education serves a crucial function in socializing young people into shared cultural values, beliefs, and norms.
According to symbolic interactionists, education is a process of social interaction in which students learn to make sense of the world around them.
Classic study of education: Becker's study of labeling in "Becoming a Marijuana User.
"In this classic study, Becker demonstrates how schools play an important role in shaping student identities.
For more related questions on administrators:
https://brainly.com/question/31843645
#SPJ8
3 A of ch 75 -5 A study of traffic patterns in a large city shows that if the weather is rainy, there is a 50% chance of an automobile accident occurring during the morning commute. If the weather is clear, the chance of an accident is reduced to 25%. Suppose the weather forecast for tomorrow predicts a 75% chance of rain. Draw a tree diagram based on the information in the work space. (Level 4) Show Your Work US be A of ch
Solution
We can create the solution with the following tree diagram:
Part 2
For this case we want this probability:
P(rain and accident)
And we can do this operation:
P(rain and accident) = 0.75 *0.5 = 0.375
Part 3
For this case we want this probability:
P( no rain and accident)
And we can do this operation:
P(no rain and accident) = 0.25 *0.25 = 0.0625
Part 4
P(Accident) = 0.5*0.75 + 0.25*0.25= 0.4375
The accompanying table shows the number of bacteria present in a certain culture over a 5 hour period, where x is the time, in hours, and y is the number of bacteria.Write an exponential regression equation for this set of data, rounding all coefficients to the nearest hundredth. Using this equation, determine the number of bacteria present after 13 hours, to the nearest whole number. Hours (x) Bacteria (y) 1930 1 1 2231 2 2426 2781 ܠܛ 3301 5 3429
Equation for
0 1 2. 3. 4. 5
1930
2231
2426
2781
3301
3429
--------
Suppose you read on the back of a lottery ticket that the chances of winning a prize are 1 out of 10. Select the best interpretation. a. If many people buy a ticket, about 1 in 10 will win. b. If you buy 10 tickets, more likely than not you will win exactly once. c. You will win at least once out of the next 10 times you play. d. You will win exactly once out of the next 10 times you play. I
The best interpretation of the statement "the chances of winning a prize are 1 out of 10" is that if many people buy a ticket, about 1 in 10 will win.
This statement means that for every 10 tickets sold, on average, only one ticket will win a prize. It does not guarantee that you will win a prize if you buy a single ticket or even several tickets. The probability of winning a prize remains the same for every ticket purchased. It is important to note that winning a prize in a lottery is largely a matter of luck, and the odds are always against the player. While buying more tickets may increase your chances of winning, it does not guarantee a win.
Learn more about interpretation here
https://brainly.com/question/10737299
#SPJ11
for each pair, determine whether it is a solution to 6x+7y=19
Answer:
Step-by-step explanation:
(0, -3) not a solution
(2,1) solution
(3,-4) not a solution
(-5,7) solution
The points which are solutions of the equation 6x+7y=19 will be ( 2,1 ) and ( -5, 7 ) so options (B) and (D) will be correct.
What are coordinates?a pair of numbers used to express the location of a point on a coordinate plane using the horizontal and vertical distinctions from the two reference axes. usually represented by pairs of x-values and y-values (x,y).
For example (5,3) here 5 will be for the x and 3 will be for the y.
Another example is (9,0) here 9 is for x and 0 is for y.
Given the equation 6x+7y=19
By substituting
( 0 ,-3 ) ⇒ -21 ≠ 19
( 2 , 1 ) ⇒ 19 = 19 so it is correct.
( 3 , -4 ) ⇒ -10 ≠ 19
( -5 , 7 ) ⇒ 19 = 19 so it is correct.
Hence options (B) and (D) are correct.
For more about coordinates
brainly.com/question/7869125
#SPJ2