Answer:
C. {(0, −1), (2, 2), (1, −2), (3, 0), (1, 1)}
hope it helps you
if angle a has a measure of 112 degrees what is the measure of angle j
∠A and ∠B are supplementary, then:
m∠A + m∠B = 180°
112° + m∠B = 180°
m∠B = 180° - 112°
m∠B = 68°
The addition of the three internal angles of a triangle is equal to 180°, then:
m∠B + m∠J + 90° = 180°
68° + m∠J + 90° = 180°
m∠J = 180° - 90° - 68°
m∠J = 22°
A penny, nickel, dime, and quarter are simultaneously flipped. What is the expected value of the amount of the coins which come up heads
The expected value of the amount of coins that come up heads is 2 coins.
The expected value of the amount of coins that come up heads when a penny, nickel, dime, and quarter are flipped simultaneously is given by the formula: E(X) = 1/2p + 1/2n + 1/2d + 1/2q where p, n, d, and q are the probabilities of getting heads when the penny, nickel, dime, and quarter are flipped. The probability of getting heads when a fair coin is flipped is 1/2.
Therefore, the probability of getting heads for each coin is 1/2.The expected value of the amount of coins that come up heads is: E(X) = 1/2 + 1/2 + 1/2 + 1/2= 2 coins. Therefore, the expected value of the amount of coins that come up heads is 2 coins.
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PLEASE HELP ME WITH THIS QUESTION I REALLY NEED HELP ASAP
The point A(5,-2) is reflected over the point (4, -5) and its image is point B. What are the coordinates of point B?
The position of a point or figure before any transformation is called "preimage"
After undergoing the transformation the resulting point/figure is called "preimage"
So for this exercise, the "preimage" is point A(5,-2)
This point was reflected over the point (4, -5)
To calculate the x-coordinate of B, first calculate the distance between the x-coordinates of point A and the reflection point.
\(d_x=5-4=1\)Next subtract it to de x-coordinate of the reflection point
\(x_B=4-1=3\)For the y-coordinate of B you have to follow the same method, first calculate the difference between the y-coordinates of point A and the reflection point:
\(d_y=-2-(-5)=3\)Next subtract it from the y-coordinate of the reflecting point to determine the y-coordinate of B
\(y_B=-5-3=-8\)The coordinates for point B are (3,-8)
Tonya is making a circle graph of the data shown in the table. How many degrees will the section for piano have?
Guitar: 1/4
Piano: 1/6
Drums 13/45
Flute 1/10
Trumpet 7/36
The section for piano will have 60 degrees in the circle graph.
How to solveTo find out how many degrees the section for piano will have in the circle graph, we first need to find the fraction of the circle that the piano represents.
The total degrees in a circle is 360 degrees. We can use the given fraction of piano (1/6) and multiply it by 360 degrees to find out the degrees of the section for piano.
Degrees for piano = (Fraction of piano) × 360
Degrees for piano = (1/6) × 360
Now, multiply the fraction by 360:
Degrees for piano = 60
So, the section for piano will have 60 degrees in the circle graph.
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→ 60° ( btw, ° means degrees )
— if a WHOLE circle is 360° and the piano is 1/6 of the circle, then all you have to do is multiply 1/6 by 360° which gives you 60 OR 60°
HEY- you look hungry, eat up !! →
What is the difference between the highest and the lowest medal counts.
Answer:
by observation we get to know
highest is 28
lowest is 4
hence difference = 28 - 4 = 24
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A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. If she chooses another pen out of the box without replacing the first one, what is the probability that she will pick a black pen both times? Write your answer as a percent.
The probability that she will pick a black pen both times will be 11%.
How to calculate the probability?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates 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.
In this case, a box contains 6 black pens, 4 blue pens, and 7 red pens.
The probability that she will pick a black pen both times will be:
= 6/17 × 5/16
= 30/272
= 11%
The probability is 11%.
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A bouncy ball is dropped such that the height of its first bounce is 4.5 feet and each successive bounce is 73% of the previous bounce's height. What would be the height of the 10th bounce of the ball? Round to the nearest tenth (if necessary).
The height of the 10th bounce of the ball will be 0.6 feet.
What is geometric sequence?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value.
What is the formula for finding the nth term of geometric sequence?The nth term of the geometric sequence is given by
\(\sf T_n=ar^{n-1}\)
Where,
\(\sf T_n\) is the nth term.r is the common ratioa is the first termAccording to the given question.
During the first bounce, height of the ball from the ground, a = 4.5 feet
And, the each successive bounce is 73% of the previous bounce's height.
So,
During the second bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 10\)
\(=\dfrac{73}{100}(10)\)
\(\sf = 0.73 \times 10\)
\(\sf = 7.3 \ feet\)
During the third bounce, the height of ball from the ground
\(\sf = 73\% \ of \ 7.3\)
\(=\dfrac{73}{100}(7.3)\)
\(\sf = 5.33 \ feet\)
Like this we will obtain a geometric sequence 7.3, 5.33, 3.11, 2.23,...
And the common ratio of the geometric sequence is 0.73
Therefore,
The sixth term of the geometric sequence is given by
\(\sf T_{10}=10(0.73)^{10-1\)
\(\sf T_{10}=10(0.73)^{9\)
\(\sf T_{10}=10(0.059)\)
\(\sf T_{10}=0.59\thickapprox0.6 \ feet\)
Hence, the height of the 10th bounce of the ball will be 0.6 feet.
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Aline's y-intercept is -6 and its slope is 0.What is its equation in slope-intercept form?
Answer:
y=0x+-6
Step-by-step explanation:
y=mx+b
What expression represents this description? Twice the quantity m plus n
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find which expression represents the description "twice the quantity m plus n".
\(\triangle~\fbox{\bf{KEY:}}\)
Translate this phrase into an algebraic expression.First, add m and n:
\(\star~\large\pmb{m+n}\)
Now, multiply two times this sum:
\(\star~\large\pmb{2(m+n)}\)
See, the parentheses around the sum show that we multiply two times both m and n.
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students :)
Answer:
2(m + n)
Step-by-step explanation:
The words describe a quantity. "Twice" means two-times the previous amount. m and n are the unknown numbers that are being added, so you must put them in parentheses to indicate that they should be added first.
A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?
Answer:
18 red and 6 other color
Step-by-step explanation:
A box of 24 ornaments contains 3/4 red ornaments. How many red ornaments are in the box? How many ornaments are another color than red?
3/4 × 24 = red ornaments
= 18 red
24 - 18 = 6 other color
x^4-6x-7-8y-y^2 help me to solve this question
In 2017 the Hindu festival of Diwali occurred on Thursday, 19 October. What fraction of the year was this
The Diwali occurred on 0.408 or 40.8% of the year in 2017.
To find the fraction of the year that Diwali occurred in 2017, we need to divide the number of days between Diwali and the start of the year by the total number of days in the year.
Diwali occurred on Thursday, October 19, 2017. The start of the year 2017 is January 1, 2017 which is a Sunday.
There are 365 days in a non-leap year. Since 2017 is not a leap year, there are 365 days in that year.
So the fraction of the year that Diwali occurred in 2017 can be calculated as: (days between Diwali and the start of the year) / (total days in the year) = ( 19 + 31 + 30 + 31 + 30 + 19 ) / 365 = (148) / 365 = 0.408
So, the Diwali occurred on 0.408 or 40.8% of the year in 2017.
Therefore, Diwali occurred on 0.408 or 40.8%
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~Describe the transformation shown.
(NUMBER 11!)
Answer:
transation and rotation
Anthony is buying a new skateboard. for $295. The sales tax is 4.75%, what will he pay in tax?
Answer:
$4.75
Step-by-step explanation:
multiply 4.75% by 100 and then add/ move the decimal place 2 times
Mass ( mg)
0 < x < 14
14 ≤ x ≤ 18
18 < x < 20
20 ≤ x ≤ 25
25 ≤ x ≤ 40
Frequency
21
28
17
22
33
The information in this table is being
drawn on a histogram.
What is the smallest integer value that
frequency density axis needs to reach,
in order to plot all of the data?
Answer:
To find the smallest integer value that the frequency density axis needs to reach, we need to first calculate the frequency density for each class interval. The frequency density is calculated by dividing the frequency of each interval by its corresponding class width.
The class widths are:
14 - 0 = 14
18 - 14 = 4
20 - 18 = 2
25 - 20 = 5
40 - 25 = 15
The frequency densities are:
21 / 14 = 1.5
28 / 4 = 7
17 / 2 = 8.5
22 / 5 = 4.4
33 / 15 = 2.2
To plot all of the data, we need to find the maximum frequency density and round it up to the nearest integer. In this case, the maximum frequency density is 8.5, so we need to round it up to 9. Therefore, the smallest integer value that the frequency density axis needs to reach is 9.
what proportion of tickets sold are adult tickets? (image)
if you can choose one item from a group of m items and a second item from a group of n items, then the total number of two-item choices is _____
If you can choose one item from a group of m items and a second item from a group of n items, then the total number of two-item choices is m x n.
The total number of two-item choices that can be made when one item is chosen from a group of m items and a second item is chosen from a group of n items is given by the product of the number of choices for the first item and the number of choices for the second item.
The number of choices for the first item is m since there are m items to choose from in the first group, and the number of choices for the second item is n since there are n items to choose from in the second group.
Therefore, the total number of two-item choices is given by m x n. For example, if there are 4 items in the first group and 5 items in the second group, then the total number of two-item choices is 4 x 5 = 20.
This formula for finding the total number of two-item choices can be extended to larger groups of items as well. For instance, if there are three groups of items with sizes m, n, and p, then the total number of three-item choices is given by m x n x p.
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100 points!! In this investigation, a magnet was attached to a desk at the 0 cm mark of a ruler. Paper clips were placed at 5 cm and the number of paperclips that were attracted to the magnet was recorded on the data table. The experiment was repeated with paperclips at 4 cm, 3 cm, 2 cm, 1 cm, and finally at 0 cm.
1. Draw a picture of the setup below
Interpret the Data:
2. Look at the data and try to understand what the data is saying. At what distance are the most paper clips attracted? At what distance were the least paper clips attracted? Add any other information you can think of for interpreting the data.
Analyzing the Data:
3. Try to figure out what the data and the results of the investigation mean. Is there a relationship between the number of paper clips this magnet could attract and the distance from the magnet the paper clips were placed? What do you think?
Draw a conclusion:
4. What general statement could you make about the distance of objects and the strength of a magnet that would hold true in most cases?
The answers to all parts are shown below.
Based on the given data, we can observe the following:
The number of paper clips attracted to the magnet decreases as the distance from the magnet increases. This means that the strength of the magnet's attraction decreases with distance.The most paper clips (25) were attracted when placed at a distance of 0 cm from the magnet. This is because the magnet's field is strongest at the point where it is attached (0 cm).The least number of paper clips (0) were attracted when placed at a distance of 5 cm from the magnet. This is because as the distance increases, the magnetic field becomes weaker and may not be strong enough to attract the paper clips.Based on this data, we can conclude that there is an inverse relationship between the distance from a magnet and the number of paper clips attracted.
In most cases, the strength of a magnet's attraction decreases with an increase in distance.
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A soccer player takes a shot on goal 15 times and scores a goal 3 of those attempts. What are the odds of the soccer player scoring a goal?
a. 3/12
b. 4
c. 3/15
d. 5
The odds of the soccer player scoring a goal is 4. The correct option is (b).
The odds of an event happening can be calculated by dividing the number of successful outcomes by the number of unsuccessful outcomes.
In this case, the soccer player scored a goal 3 times out of 15 attempts.
The number of successful outcomes is 3 (goals scored), and the number of unsuccessful outcomes is 15 - 3 = 12 (failed attempts).
Therefore, the odds of the soccer player scoring a goal can be expressed as 3:12, which can be simplified to 1:4.
To match the given answer choices, we can rewrite the odds as a fraction by dividing both sides by the number of successful outcomes:
Odds = Successful outcomes : Unsuccessful outcomes
Odds = 3 : 12
Odds = 3/3 : 12/3
Odds = 1 : 4
So, the correct answer is option b. 4.
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The scale of a map is 1 in.: 17.5 mi. Find the actual distance corresponding to the map distance of 5 in.
A. 87.5 mi
B. 3.5 mi
C. 22.5 mi
Answer:
A. 87.5 mi
Step-by-step explanation:
1 in : 17.5 mi Multiply both sides of the ratio by 5
5 in : 87.5 mi
Hiroshi is 6 years older than Kaido. Saitama is three times as old as Hiroshi. The sum of their three ages is 79 Find the ratio of Kaido's age to Hiroshi's age to Saitama's age. (Use the letter x for any algebraic method) 14°C Heavy rain soon Optional working Search Answer: Total marks: 4 hp
The ratio of Kaido's age to Hiroshi's age to Saitama's age is 5:8:24.
How to find the ratio of there ages?Hiroshi is 6 years older than Kaido. Saitama is three times as old as Hiroshi. The sum of their three ages is 79.
Therefore, the ratio of Kaido's age to Hiroshi's age to Saitama's age can be calculated as follows:
Hence,
let
x = Kaido age
Hiroshi age = 6 + x
Saitama age = 3(6 + x) = 18 + 3x
Therefore,
x + 6 + x + 18 + 3x = 79
5x = 79 - 24
5x = 50
x = 50 / 5
x = 10
Therefore,
x = Kaido age = 10 years
Hiroshi age = 6 + x = 6 + 10 = 16 years
Saitama age = 3(6 + x) = 18 + 3x = 18 + 3(10) = 48 years
Hence, the ratio of there ages are as follows:
10:16:48
Let's divide through by 2
5:8:24
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A radioactive decay series that begins with 23290Th ends with formation of the stable nuclide 20882Pb.
Part A
How many alpha-particle emissions and how many beta-particle emissions are involved in the sequence of radioactive decays?
In the given decay series, there are a total of 6 alpha-particle emissions, each resulting in a decrease of 4 in the atomic number and 4 in the mass number, and 4 beta-particle emissions, each resulting in a change in the atomic number but no change in the mass number.
In the radioactive decay series that begins with 23290Th and ends with 20882Pb, a total of 6 alpha-particle emissions and 4 beta-particle emissions are involved.
The decay series can be summarized as follows:
23290Th → 22888Ra → 22486Rn → 22084Po → 21682Pb → 21280Hg → 21281Tl (beta decay) → 20882Pb
In each alpha decay, an alpha particle (which consists of two protons and two neutrons) is emitted from the nucleus, resulting in a decrease of 4 in the atomic number and a decrease of 4 in the mass number.
In each beta decay, a beta particle (which is either an electron or a positron) is emitted from the nucleus, resulting in a change in the atomic number but no change in the mass number.
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The decay series can be represented as follows:
23290Th → 22888Ra → 22889Ac → 22486Rn → 22084Po → 21682Pb → 21280Hg → 21281Tl → 20882Pb
In this decay series, alpha-particle emissions occur at each step except for the decay of 22889Ac to 22486Rn, which involves the emission of a beta particle. Therefore, there are a total of 7 alpha-particle emissions and 1 beta-particle emission involved in the sequence of radioactive decays.
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Two similar figures have a side ratio of 2:5. What is the ratio of their volumes?
Answer: The ratio of the side lengths of two similar figures is 2:5.
Let's assume that the dimensions of the smaller figure are 2x, 2y, and 2z, where x, y, and z are some constants. Then, the dimensions of the larger figure will be 5x, 5y, and 5z.
The ratio of the volumes of two similar figures is the cube of the ratio of their corresponding side lengths.
So, the ratio of the volumes of the smaller and larger figures will be:
(2x)^3 : (5x)^3
8x^3 : 125x^3
We can simplify this ratio by dividing both sides by the common factor of x^3:
8 : 125
Therefore, the ratio of the volumes of the smaller and larger figures is 8:125.
Step-by-step explanation:
The size of fish is very important to commercial fishing. A study collected the lengths of Atlantic cod (in cm) caught in nets in Karlskrona. Data based on information from the study is in the table below. Determine if the data are from a population that is normally distributed.
Whether the data is normally distributed or not is determined by testing the skewness and kurtosis values of the sample. If the skewness and kurtosis are within the range of -2 to +2, the data is regarded to be normally distributed.
To determine if the data are from a population that is normally distributed, we'll compute the skewness and kurtosis for the given dataset. The formulas for calculating skewness and kurtosis are as follows:
Skewness = (3 * Mean – Mode) / Standard Deviation
Kurtosis = (Mean – Mode) / Standard Deviation
We will use the following steps to calculate skewness and kurtosis for the provided dataset:
Step 1: Calculate the mean (average) of the dataset.μ = (14 + 19 + 22 + 24 + 26 + 28 + 29 + 29 + 30 + 32) / 10
= 24.3
Step 2: Calculate the median (midpoint) of the dataset. The values in the data set are already in order, so we can find the median by simply taking the value in the middle of the data set. The median is 26.
Step 3: Calculate the mode (most frequently occurring value) of the dataset.There is no mode for this dataset as there are no repeated values.Step 4: Calculate the variance and standard deviation of the dataset.
Var(X) = [Σ (Xi – μ)2] / N
Var(X) = [(14-24.3)2 + (19-24.3)2 + (22-24.3)2 + (24-24.3)2 + (26-24.3)2 + (28-24.3)2 + (29-24.3)2 + (29-24.3)2 + (30-24.3)2 + (32-24.3)2] / 10
Var(X) = 27.01
SD(X) = √27.01
= 5.2
Step 5: Calculate the skewness of the dataset using the formula.
Skewness = (3 * Mean – Mode) / Standard Deviation
Skewness = (3 * 24.3 – 26) / 5.2
= 0.19
The skewness value of 0.19 is within the range of -2 to +2, indicating that the data is normally distributed. Similarly, the kurtosis value can be calculated using the formula.
Kurtosis = (Mean – Mode) / Standard Deviation
Kurtosis = (24.3 – 26) / 5.2
= -0.27
The kurtosis value of -0.27 is also within the range of -2 to +2. Therefore, we can conclude that the data is normally distributed.
In statistics, data are usually distributed in one of two ways: it is either normally distributed, meaning that the majority of values fall close to the mean, or it is skewed, meaning that a significant number of values fall in one direction of the mean or the other. It is important to know which of these distributions applies to a given data set so that you can make accurate predictions based on that data.
Normal distribution is a term used in statistics to describe a pattern of data that is symmetrical, meaning that the data values are equally likely to fall on either side of the mean. When the data is normally distributed, the majority of the data values fall close to the mean, with fewer values the farther away from the mean you go.
The normal distribution is useful for making predictions and understanding the likelihood of a particular outcome. This is because it is easy to see where the majority of the data falls on a normal distribution graph, and you can use that information to predict future outcomes.
Skewed distribution is a term used in statistics to describe a pattern of data that is asymmetrical, meaning that the data values tend to cluster on one side of the mean or the other. Skewed data can be difficult to interpret, and it may require special statistical methods to analyze.
This is because the data may be influenced by outliers, or extreme values, that skew the distribution. When the data is skewed, the median may be a better measure of central tendency than the mean.
We have calculated the skewness and kurtosis of the given data. The skewness value of 0.19 is within the range of -2 to +2, indicating that the data is normally distributed.
Similarly, the kurtosis value of -0.27 is also within the range of -2 to +2. Therefore, we can conclude that the data is normally distributed.
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5.0.75% of 80 is what number?
A. 0.6
B.0060
C.60
D.6000
Answer:
Um im sure the answer is C btw
Step-by-step explanation:
correct me if im wrong
Helpp!!
At Charles School, 1/5 of the 75 students in seventh grade play in the jazz band. how many seventh graders play in the jazz band?
Answer:
15
Explanation
1/5x75=75/5 =15
15 seventh graders play in the jazz band as per the given ratio.
What is the ratio?One quantity can be expressed as a fraction of other quantities using a ratio, which is a number. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
Given At Charles School, 1/5 of the 75 students in seventh-grade play in the jazz band.
In the form of a ratio
1/5 the students out of 75 play in the jazz band
Total students play in the jazz band = 75* 1/5
Total students play in the jazz band = 15
Therefore, The jazz band has 15 seventh graders playing according to the ratio.
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please help its timed
Answer:
no solutions
Step-by-step explanation:
What is the measure of each of the arc?
Need Help!
Milk is on sale for 40% off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
The discounted price for milk is $____ (Round to the nearest cent.)