We can conclude that it is more likely that a child has side effects compared to an adult
What is probability ?
The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The given information is expressed as
Side effect no side effect total
Adult 7 43 50
Children 22 28 50
Total 29 71 100
Probability is expressed as
Number of favorable outcomes/number of total outcomes
For the probability that an adult has side effects,
Total number of outcomes = 50
Number of favorable outcomes = 7
Probability that an adult has side effects = 7/50 = 0.14
For the probability that a child has side effects,
Total number of outcomes = 50
Number of favorable outcomes = 22
Probability that an adult has side effects = 22/50 = 0.44
Therefore, it is more likely that a child has side effects compared to an adult
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Daisha has a barrel in her garden to collect rainwater. The barrel can hold at most 65 gallons of water.
Which inequality represents this situation?
w ≤ 65
w ≥ 65
w < 65
w > 65
Answer:
w < 65 is the correct inequality.
A card is drawn from a standard 52-card deck (no jokers). Match each event with its probability.
Probabilities:
*The probability the card is red, given that it is a face card.
*The probability the card is a king, given that it is a face card.
*The probability the card is red, given that it is a spade.
*The probability the card is red, given that it is a face card.
*The probability the card is a face card, given that it is a queen.
Options:
1/2
1/3
1
0
The probability the card is red, given that it is a face card is 1/2 and the probability the card is a king, given that it is a face card is 1/3.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
A card is drawn from a standard 52-card deck (no jokers).
We have to match each event with its probability.
Since, a deck of cards contains the face cards J, Q, and K.
Let's say there are four different kinds of cards: spades, clubs, hearts, and diamonds.
King, Queen, and Jack are contained in each of these types.
Thus, the total number of face cards is 12 (3 x 4).
(1) Let the face cards are 12 and there are 6 red cards in that 12 face cards.
So, the probability the card is red, given that it is a face card is
= 6/12 = 1/2.
(2) There are 4 king in a 12 face cards.
So, the probability the card is a king, given that it is a face card
= 4/12 = 1/3.
Hence the probability the card is red, given that it is a face card is 1/2 and the probability the card is a king, given that it is a face card is 1/3.
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At a certain high school, the distribution of backpack weight is approximately normal with mean 19.7 pounds and standard deviation 3.1 pounds. A random sample of 5 backpacks will be weight, in pounds, of each backpack will be recorded. For samples of size 5, which of the following is the best interpretation of Pl (a > 22) 0.05?a. The probability that each of the 5 backpacks selected will have a weight above 22 pounds is approximately 0.05.b. The probability that each of the 5 backpacks selected will have a weight above 19.7 pounds is approximately 0.05c. The probability that the population mean is greater than 22 pounds is approximately 0.05.d. For all samples of size 5, approximately 5% of the sample will have a probability greater than 22 pounds,e. For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
The probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05.
The distribution of backpack with mean deviation = 19.7 pounds
And the standard deviation = 3.1 pounds
According to this question,
He normal probability distribution and the central limit theorem were used.
Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.
Mean standard deviation, the z-score of a measure X is given by:
Z = x-μ/σ
The Z-score measures how many standard deviations. the measure is from the mean.
After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score.
This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Subtracting 1 by the p value,
We get the value probability that of the measure is greater than X.
Central Limit Theorem; The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean and standard deviation the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For samples of size 5, which of the following is the best interpretation of P(ä > 22) = 0.05
No matter the size of the sample mean will be the same.
However, the standard deviation will be changed.
P(ä > 22) is the probability of the sample means being above 22.
For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
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Choose 5 ordered pairs whose first and second coordinate are equal. Plot these points and connect them. What kind of figure do you get? In what quadrants does the figure lie?
Answer:
Here are 5 ordered pairs whose first and second coordinates are equal:
(2,2)
(3,3)
(4,4)
(5,5)
(6,6)
If we plot these points and connect them, we get a straight line that runs from the bottom left to the top right of the coordinate plane. This line is called the "diagonal" of the coordinate plane and it divides the plane into 4 quadrants.
The figure that we get lies in all 4 quadrants of the coordinate plane. The top right and bottom left quadrants are the "positive" quadrants, where both the x- and y-coordinates are positive. The top left and bottom right quadrants are the "negative" quadrants, where both the x- and y-coordinates are negative.
d divided by 5.20 = 2.40
Answer:
Below
Step-by-step explanation:
D / 5.2 = 2.4 multiply both sides of the equation by 5.2 to get
D = 12.48
Given: Line Segment AB is perpendicular to Line Segment BC, Line Segment DC is perpendicular to Line Segment BC, Line Segment AC is congruent to Line Segment DB
Prove: Line Segment AE is congruent to Line Segment DE
Write a two-column proof for this.
The proof is explained below
what is a method of two-column proof?A column proof is a logical argument that is presented in an organized manner. Every two-column proof has exactly two columns. One column represents our statements or conclusions and the other lists our reasons. In other words, the left-hand side represents our “if-then” statements, and the right-hand side explains.
Statements Reasons
1) ΔABC & ΔDCB are right ∠B =∠C =90°
angle triangle
2) AC=DB Given
3) BC is common Given
to both ΔABC & ΔDCB
4) By SAS property ΔABC≅ΔDCB ∠B =∠C =90° , BC is common,
and AC = DB
5) AB=DC By CPCT theorem
Hence, proved via two column proof.
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What percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa?
The percentage of people in the U.S. celebrate winter holidays such as hanukkah, christmas, and kwanzaa is above 90%.
How to illustrate the percentage?This holiday season, it should be noted that that 92% of Americans will celebrate Christmas, 5% will celebrate Hanukkah, and 3% will celebrate Kwanzaa. Five percent will celebrate more than one holiday
America has come to appreciate Hanukkah. Hanukkah is celebrated by the majority of American Jews, at least with a family meal or the lighting of a menorah, and the majority of non-Jews in America are aware of the holiday.
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In a regression analysis, the error term ε is a randomvariable with a mean or expected value ofa) Zerob) Onec) any positive valued) any value
In a regression analysis, the error term ε is a random variable with a mean or expected value of zero.
The model used in regression analysis is known as the regression model it is used to estimate the relationships between a dependent variable and one or more independent variables.
It helps us to find the strength between two given relations thus determining whether a plan is correct or not. It helps us to make plans based on certain reports .
Another way of analyzing things is by using multiple regression analysis, it can be used to assess the connection between a dependent variable and two or more independent variables. For example, you may assess the relationship between a person's income and their experience, education, and geographic area.
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a less than /- 5 is usually an indicator of a reliable public opinion poll. a. margin of error b. modal response c. sample size d. standard deviation e. self-selection bias
The correct answer is a. margin of error.
The margin of error is a measure of the precision of a survey or poll. It represents the range of values within which the true value of the population parameter being measured is likely to fall, based on the sample data collected. A smaller margin of error indicates a higher level of precision and a more reliable estimate of the population parameter. In general, a margin of error of less than +/- 5 is considered to be a good benchmark for a reliable public opinion poll.
The modal response is the most common response to a survey question. The sample size is the number of people included in the survey. Standard deviation is a measure of the dispersion of a set of data. Self-selection bias refers to the possibility that the people who choose to participate in a survey are not representative of the entire population being studied.
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Avi and Micah are teammate on a track and field team. Avi' bet long jump i 1 1/6 time a long a Micah. Avi' bet long jump i 3 1/2 meter. How long i Micah' bet long jump?
Micah's best long jump is 3 meters long.
In this question we have been given Avi and Micah are teammates on a track and field team.
We need to find the how long is Micah's best long jump.
Let Micah's best long jump is x meters and Avi's best long jump is y meters.
Avi's best long jump is 3 1/2 meters.
⇒ y = 3 1/2 meters
We write this improper fraction as proper fraction.
3 1/2 = 7/2
Also, Avi's best long jump is 1 1/6 times as long as Micah's.
So, we get an equation
y = (1 1/6) * x
We write improper fraction 1 1/6 as 7/6
So equation becomes,
y = 7/6 * x
Subatitute the value of y
7/2 = 7/6 * x
x = (7/2)/(7/6)
x = 6/2
x = 3 meters
Therefore, Micah's jump is 3 meters long.
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What is the equation of the line that passes through the points (-2,10) and (-9,-5)? Write your answer in slope intercept form
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{-9}-\underset{x_1}{(-2)}}} \implies \cfrac{-15}{-9 +2} \implies \cfrac{ -15 }{ -7 } \implies \cfrac{ 15 }{ 7 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ \cfrac{ 15 }{ 7 }}(x-\stackrel{x_1}{(-2)}) \implies y -10 = \cfrac{ 15 }{ 7 } ( x +2) \\\\\\ y-10=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }\implies y=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }+10\implies {\Large \begin{array}{llll} y=\cfrac{ 15 }{ 7 }x+\cfrac{100}{7} \end{array}}[/tex]
Graph the line whose equation is given in Point slope form. y+7=2(x-4)
Some of the coordinates on the graph are (0, -15), (1, -13), (2, -11).
The graph of the equation is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of the equation y + 7 = 2 (x - 4).
y + 7 = 2 (x - 4)
y = 2(x - 4) - 7
y = 2x - 8 - 7
y = 2x - 15
For x = 0,
y = - 15
(0, -15)
For x = 1,
y = 2 - 15 = -13
(1, -13)
For x = 2,
y = 4 - 15 = -11
(2, -11)
And so on...
Thus,
The graph of the equation is given below.
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Please awnswer the question below
The required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total sample space = 4 × 6 = 24
Favorable event = (2, 2) = 1
The probability that the spinner and number cube both lands on number 2,
= favorable outcome/sample space
= 1 / 24
Thus, the required probability that the spinner and number cube both lands on number 2 is 1/4. Option E is correct.
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PLEASR HELP ASAP, FALLING BEHIND BIG TIME!! Please explain I really suck at math and can not fail what so ever!!!
The table below represents a linear function. (Picture Below)
What is the slope?
Answer:
-12/3
Step-by-step explanation:
the slope of a linear equation is defined as
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y is the output so in this case, the y's would be f(n) on the chart
x is the input so in this case the x's would be n on the chart
to keep things simple ill use the first 2 columns of the chart, which give the (x,y) pairs (-3,15) and (0,3)
Simply plug these x's and y's into the above equation to get the slope
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }\\\frac{3 -15 }{0--3 }\\\frac{-12}{3} \\[/tex]
click all of the graphs that do not pass the vertical line test.
PLease help me!!!!!
Answer:
Below
Step-by-step explanation:
1 2 and 3 do not pass the vertical line test because you can draw a vertical line that will cross the graph two times
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
Trevor is planning a picnic for his coworkers and plans to serve veggie burgers. The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic.
v = the number of veggie burgers Trevor prepares
c = the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent? = the number of veggie burgers Trevor prepares
= the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent?Vv = the number of veggie burgers Trevor prepares
= the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent? = the number of veggie burgers Trevor prepares
= the number of Trevor's coworkers who attend the picnic
Which of the variables is independent and which is dependent?
Answer:
Below
Step-by-step explanation:
"The number of veggie burgers he prepares will depend on the number of his coworkers who attend the picnic."
v is dependent variable (see the quote above)
c is independent
an electric pole is 9m high. A steel wire tied to the top of the pole affixed at a point on the ground at a distance of 12m from the foot of the pole. Find the length of the wire.
pls answer the question.........step by step.............30pt
Answer:
the length is 15
Step-by-step explanation:
So the height of the pole(Opposite) = 9m
The steel wire fixed to the ground(Adjacent) = 12m
the length( Hypotenuse) = ?
using the formula
Hyp² = opp² + Adj²
Hyp² = 9² + 12²
Hyp² = 81 + 144
Hyp² = 225
Hyp = √225
Hyp = 15
i hope this helps
: Practice & Problem Solving
Part 1 of 2
Marsha deposited $9,000 into a savings account 3 years ago. The simple interest rate is 5%. How much money did Marsha earn in interest?
Substitute the values into the equation.
Answer:
Marsha earn $1350.
Step-by-step explanation:
Given;P = $9000T = 3 yearsR = 5%To Find;InterestSo,
9000 × 5 × 3 ÷ 100
135000/100
$1350
Thus, Marsha earn $1350.
Peter receives a salary of rs 14 250 per month plus a commision of 6 % on all sales. find his totasl sales, given that he receives a gross salary of rs 26 250.
let x as the total sales
26 250 = 14 250 + 0.06x
26 250 - 14 250 = 14 250 - 14 250 + 0.06x (subtract 14 250 both sides)
12 000 = 0.06x
x = 200 000
CHECKING:26 250 = 14 250 + 0.06(200 000)
26 250 = 14 250 + 12 000
26 250 = 26 250
Therefore, Peter have total sales of RS 200 000.
Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Samantha has a total of 12 chickens.if she has 3 times as many chickens as dogs write and sole an equation to determine the number of dogs she has.
Answer:
Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.
How did we figure this out?Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. First you have to divide by 3 on both sides.
⇒ 3x = 12 ⇒ x = 4 This is your answer, x = 4Therefore, Samantha has a total of 12 chickens. if she has 3 times as many chickens as dogs. The correct answer is 3x = 12; x = 4.
In thi coordinate plane, the ditance between each gridline repreent 1 mile. What i the ditance, in mile, between the library and the chool? You can ue the coordinate plane to help you find the anwer by plotting the two point
The distance between the library and the school using the coordinates plane is 7.28 miles.
A coordinate plane is a two-dimensional plane which is formed by the intersection of two number lines - a horizontal number line called the x-axis and is a vertical number line called the y-axis. It is a graphing and description system for points and lines. On the provided coordinate plane, the coordinate of the library is (-3,3) and the coordinate of the school is (4, 1).
The distance formula between two coordinates is given by:
d =√((x2 – x1)^2 + (y2 - y1)^2)
Using the distance formula, the distance between the library and the school are:
d =√((-3 – 4)^2 + (3 - 1)^2)
d =√((-7)^2 + (2)^2)
d =√((-7)^2 + (2)^2)
d =√(49 + 4)
d =√53
d = 7.28 miles
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Indentify a pair of segments that are marked perpendicular to each other on the diagram below
Answer:
Indentify a pair of segments that are marked perpendicular to each other on the diagram below
Step-by-step explanation:
OQ
25. Which correctly gives the center of dilation
and scale factor of the dilation below
a) dilated by a scale factor of 1/3 with
the origin as the center of dilation
b) reflection in the line y = -x
(x, y)-(-y, - x)
Directions: Graph and label each figure and its image under the sequence of transformations.
Give the coordinates of the image.
27. Rectangle PQRS with vertices P(-6, 9), Q(3, 6), R(0, -9), and S(-9, -6):
10,10
لهاشم
(-8,-1): 4-
B. (-8,-1);-
C. (0,-5): 4-
D. (0,-5);&-4
C
016-31
R. (20
5.16.9
P
26. N(-10, -15) is the image of N after a dilation
with a scale factor of 5/4, centered at the
origin. What are the coordinates of N
29. Which sequence of transformations will map PQ onto RS?
R
13
A. a 90° clockwise rotation about the origin,
then a reflection in the x-axis
B. a 180° rotation about the origin,
then a translation along the vector (2.2)
C. a reflection in the x-axis, then a
translation along the vector (2,6)
D. a translation along the vector (5.-2),
then a reflection in the x-axis
D.
When the point N is dilated, the coordinate of N changes to N' ,the coordinate of point N is (8,12).
What is dilation?
In arithmetic, a dilation may be a perform f from a mathematical space M into itself that satisfies the identity d=rd for all points x, y \in M, wherever d is that the distance from x to y and r is a few positive imaginary number.
Main body;
How to determine the coordinate of N
The given parameters are:
N' = (10,15)
k = 5/4
To calculate the coordinate of N, we make use of:
N * k = N'
So, we have:
N * 5/4 = (10,15)
Multiply both sides by 4
N * 5 = (40,60)
Divide both sides by 5
N = (8,12)
Hence, the coordinate of point N is (8,12)
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In a parallelogram, the sum of the measures of the angles is ______?
Answer: 360
Step-by-step explanation:
Answer is 360 degrees
a parallelogram can be divided into two triangles
The Sum of the angles of each triangle is 180°
2 x 180 =360
Answer:
360
Step-by-step explanation:
Formula to find the sum of angles of any shape
(n-2)x180
(4-2)x180
2x180=360
Hence the sum of angles of a parallelogram is 360
A 15-foot tall tent pole i ecured to the ground uing a piece of rope 17 feet long that goe from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground, determine the number of feet along the ground from the tent pole to the rope. A. 64 feet
B. 19 feet
C. 8 feet
D. 7 feet
As per the Pythagoras theorem, the number of feet along the ground from the tent pole to the rope is 8 feet.
Here we have given that A 15-foot tall tent pole incurred to the ground using a piece of rope 17 feet long that goes from the top of the tent pole to the ground. If the tent pole make a 90-degree angle with the ground,
And we need to determine the number of feet along the ground from the tent pole to the rope.
AS per the given data, here we have consider that the pole makes 90° with the ground and is supported by a rope.
And for the clear observation, here we can realize that the pole, rope and ground form a right-angled triangle, where
The value of Hypotenuse (h) = length of rope = 17 feet
And the Side 1 (p) = length of tent pole = 15 feet
Then the Side 2 (b) = distance between pole and rope along the ground
Now, we have to applying the Pythagorean theorem, the following equation is obtained:
=> h² = p² + b²
Then we have to apply the values on it, then we get
=> 17² = 15² + b²
=> b² = 289 - 225
Therefore, the value of is calculated as,
=> b = √64
=> b = 8 feet
Therefore the distance between the tent pole and the rope along the ground is 8 feet.
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Johan buys a backpack for $41. He has to pay 8% sales tax. How much is the tax?
pls help asap tysm
Answer: The tax is $3.28.
Step-by-step explanation:
8% is equal to 0.08.
If you multiply 41 x 0.08 you get 3.28.
three students attempt to define what it means for \overleftrightarrow{ab} ab a, b, with, \overleftrightarrow, on top and \overleftrightarrow{cd} cd c, d, with, \overleftrightarrow, on top to be perpendicular. \qquad 2 lines intersecting. one line is vertical with points a and b on opposite ends. the other line is horzontal with points c and d on opposite ends. they intersect at point o in the middle of both lines. can you match the teacher's comments to the definitions?
However, the information is not complete but we can see parallel lines in general to solve it.
What are parallel lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.
Define perpendicular lines.Perpendicular lines are those that cross at a straight angle of 90 degrees.
Lines that are perpendicular to one another are those that are 90 degrees apart. In light of this definition, we could conclude that for lines lll and mmm to be perpendicular, they must intersect and form a right angle (90°) to one another.
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julian's transcript shows a grade point average of 3.00, with a standard deviation of 0.25. what fraction of his total credits were certain to have a grade point average between 2.00 and 4.0?
At least 75% of his total credits were certain to have a grade point average between 2.00 and 4.0.
By looking at the standard deviation of 0.25, we can calculate the range of the grade point averages which are within two standard deviations away from the mean. In this case, the mean is 3.00, so two standard deviations away would be 2.00 (3.00 - 0.25 x 2) and 4.00 (3.00 + 0.25 x 2). Since the grade point averages within this range are certain to have a grade point average between 2.00 and 4.0, at least 75% of the total credits are certain to have a grade point average between these two numbers.
Lower limit (2 standard deviations away from the mean):
3.00 - (0.25 x 2) = 2.00
Upper limit (2 standard deviations away from the mean):
3.00 + (0.25 x 2) = 4.00
Therefore, at least 75% of the total credits have a grade point average between 2.00 and 4.00.
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which graph represent 5x-2y=3
Answer:
The answer is below; I have put the equation and graphed it!
Step-by-step explanation:
3(x-5) But the variable x represents 3
Answer:
-6
Step-by-step explanation:
Do whats in the parentheses first (3-5=-2)
so you have 3(-2), and that equals -6
Answer:
[tex]\tt -6[/tex]Step-by-step explanation:
3(x - 5) when x = 3
Substitute x with 3:-
[tex]\tt 3\left((3)-5\right)[/tex]
[tex]\tt 3\left(-2\right)[/tex]
[tex]\tt -6[/tex]
Therefore, your answer is -6!
______________________
Hope this helps you!
Have a nice day!