The probability of red is 0.1724, given the following table.
The table provided is given in the form of a contingency table. It is used to display the relationship between two categorical variables or nominal data through frequency distribution. It is also referred to as a two-way frequency table.
The table has "Yes" and "No" categories in the rows and "Red" and "Blue" categories in the columns.
The probability of Red can be calculated using the formula;
P(Red) = (Frequency of Red) / (Total Frequency)
Using the values provided in the table
,P(Red) = 15/87P(Red) = 0.1724
Hence, the probability of red is 0.1724.
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COFFEE A national coffee chain makes and serves 4 billion cups of coffee in a year. If the average cup of coffee costs $3.15, how much money does the coffee chain make in a year? Write your answer in scientific notation.
Answer: 1.26 × 10 to the 10th power
Step-by-step explanation:
For what values of a are the following expressions true?
(PLease help ASAP)
|a +5| = −5−a
|a +5 |=a +5
The equation |a + 5| = −5 − a is not true for any value of a, while the equation |a + 5| = a + 5 is true for values of a greater than or equal to -5.
The absolute value of a number is defined as the distance of the number from zero on a number line. Thus, |a + 5| is equal to the distance of (a + 5) from zero on a number line. Since distance is always non-negative, |a + 5| is always non-negative.
On the other hand, the expression −5 − a is always negative, since the sum of a negative number (-5) and any number (a) is always negative.
Therefore, for the equation |a + 5| = −5 − a to be true, the absolute value of (a + 5) would have to be negative, which is impossible since absolute value is always non-negative.
For the equation |a + 5| = a + 5 to be true, a must be greater than or equal to -5, because when a is greater than or equal to -5, (a + 5) is already non-negative, so the absolute value of (a + 5) is equal to (a + 5).
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now fit a logistic model with a single explanatory variable mcat scores. why is the null deviance the same as that from part a.?
The MCAT scores variable can predict some of the variation in the response variable.
The logistic regression model is a type of regression analysis that is widely used in various fields. A logistic model can be fitted using the glm() function in R. Now fit a logistic model with a single explanatory variable, MCAT scores.In logistic regression, the null deviance is the deviance for a model that has only the intercept. The null deviance will always be equal to the residual deviance if the model has only the intercept.The null deviance is calculated based on the difference between the saturated and null models' likelihoods. It is the amount of variation in the response variable that cannot be explained by the model when no predictor variables are used. When the single predictor variable MCAT scores is added to the null model, it reduces the null deviance by 11.59. This is significant because it indicates that the MCAT scores variable can predict some of the variation in the response variable.
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Which statement describes the graph of this polynomial function?
f (x) = x Superscript 5 Baseline minus 6 x Superscript 4 Baseline + 9 x cubed
Answer:
The statement that describes the graph of the polynomial function f (x) = x^5 - 6x^4 + 9x^3 is that it has a local maximum at x = 0 and a local minimum at x = 2. The degree of the polynomial is 5, which means it has five zeros or x-intercepts. The leading coefficient is positive, which indicates that the graph will rise to the left and right. The function has a point of inflection at x = 1.5, where the concavity changes from up to down. Overall, the graph of this polynomial function has a typical "upside-down U" shape with local extrema and a point of inflection.
how can the union and intersection of n sets that all are subsets of the universal set u be found using bit strings?
The union and intersection of n sets that are all subsets of the universal set u can be found using bit strings.
Bit strings are a way of representing sets as strings of binary digits. To represent a set, each element is assigned a digit of 0 or 1. A 1 indicates that the element is in the set, while a 0 indicates that the element is not in the set.
The union of the sets is found by combining the bit strings and setting any digit that is 1 in any of the sets to a 1. The intersection is found by comparing the bit strings and setting any digit that is 1 in all of the sets to a 1.
By using bit strings, we can quickly and accurately find the union and intersection of n sets that are all subsets of the universal set u.
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suppose 60% of american adults believe martha stewart is guilty of obstruction of justice and fraud related to insider trading. we will take a random sample of 20 american adults and ask them the question. then the sampling distribution of the sample proportion of people who answer yes to the question is: group of answer choices
Suppose 60% of American adults believe Martha Stewart is guilty of obstruction of justice and fraud related to insider trading.
We will take a random sample of 20 American adults and ask them the question. Then the sampling distribution of the sample proportion of people who answer yes to the question is a binomial distribution.
What is a binomial distribution?A binomial distribution is a statistical distribution that represents the likelihood of one of two outcomes in a sequence of independent trials. Binomial distributions can be used to model a variety of phenomena, including flipping coins, rolling dice, and performing multiple independent experiments.
The probability of getting k successes in n trials in a binomial distribution with probability of success p and probability of failure q is given by the following formula:P (k) = nCk * p^k * q^(n-k)Where nCk is the binomial coefficient, which represents the number of ways to select k items from a set of n items without regard to order.
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As shown below, Ghana makes a triangular decoration out of clay.
When she fires it in the kiln, it shrinks proportionally. If the base of the
finished decoration is only 9 inches after firing, what is the height, in inches,
of the finished decoration?
A
B
с
D
4
5
6
10 in.
8
15 in.
TIPS AND F
Check your answe
makes sense. Since
half of 15, the answ
more than half of 10
Answer:
Since the decoration is in the shape of a triangle, we can use the formula for the area of a triangle to solve for its height. The area of a triangle is given by:
Area = (1/2) x base x height
Let's call the height of the decoration h. We know that the base after firing is 9 inches, so we can plug in the given values and solve for h:
Area = (1/2) x 9 x h
Area = 4.5h
We don't know the exact area of the decoration, but we do know that the decoration maintains its shape after firing. This means that the ratio of the areas before and after firing is the same, and so is the ratio of the heights and bases. Since the height and base are proportional, we can write:
h / 15 = 9 / 10
Simplifying the equation, we get:
h = (9/10) x 15
h = 13.5
Therefore, the height of the finished decoration is 13.5 inches.
based solely on statistical probability from demographic studies, which individual has the greatest likelihood of being a smoker?
Based solely on statistical probability from demographic studies, the individual who has the greatest likelihood of being a smoker is a male aged between 18 to 24 years old.
According to demographic studies, men are more likely to smoke than women. Besides, the smoking rate increases with age, which means individuals aged between 18 to 24 have a higher likelihood of being a smoker than people of other ages.
Therefore, based solely on statistical probability from demographic studies, a male aged between 18 to 24 years old has the greatest likelihood of being a smoker.
It is important to note that statistical probability from demographic studies only shows what is likely or probable to happen but does not guarantee the actual occurrence of the event.
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a state's license plates consist of 4 letters followed by 5 digits. how many possible license plates can be issued using this condition?
In the following question, among the conditions given, There are 26^4 x 10^5 possible license plates that can be issued using this condition.
Hence, This is because the license plates consist of 4 letters and 5 digits. There are 26 possible letters that can be used in the first four places, so the total possible combinations of 4 letters is 26^4. There are 10 possible digits that can be used in the last five places, so the total possible combinations of 5 digits is 10^5. Multiplying these two together gives the total number of possible license plates: 26^4 x 10^5.
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There are a total of $26^4 × 10^5$ possibilities, which simplifies to 26,000,000,000 (twenty-six billion) possibilities. Therefore, with this condition, twenty-six billion license plates can be issued.
A state's license plates consist of 4 letters followed by 5 digits.
How many possible license plates can be issued using this condition?
When designing a license plate, the condition provided in the question suggests that a license plate should consist of 4 letters followed by 5 digits.
Therefore, we can count the total number of license plates in two phases.
The number of choices for each segment must be taken into account separately for the letters and the numbers.
When considering the letter possibilities, there are 26 options for each position since there are 26 letters in the alphabet.
For the first 4 positions, there are a total of $26^4$ = 456,976 possibilities.
Similarly, for the last 5 positions,
there are 10 options for each position since there are 10 digits.
There are $10^5$ = 100,000 possibilities for the last 5 positions.
The entire plate's total number of combinations is obtained by multiplying these numbers.
There are a total of $26^4 × 10^5$ possibilities
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1. Divide and simplify. **Please show all work to receive full credit 1/x+4 ÷ x-3/ x²+7x+12
After dividing and simplifying we get (x-3)/(x+3)
What is division?One of the four fundamental operations of arithmetic, or how numbers are combined to create new numbers, is division. The additional operations are addition, subtraction, and multiplication.
At a fundamental level, counting the instances in which one number is contained within another is one interpretation of the division of two natural numbers. There is no requirement that this quantity be an integer. For instance, if there are 20 apples and they are divided equally among four people, each person will get 5 apples (see picture).
The integer quotient, which is the quantity of times the second number is entirely contained in the first number, and the remainder are both produced by the division with remainder or Euclidean division of two natural numbers.
1/(x+4) divide by [tex](x-3)/(x^2 + 7x +12)[/tex]
Simplify : [tex]x^2 +7x +12[/tex]
[tex]x^2 + (3+4)x + 12[/tex]
[tex]x^2 + 3x +4x + 12[/tex]
[tex]x(x + 3) + 4(x + 3)[/tex]
[tex](x+3)(x+4)[/tex]
[tex]1/(x + 4) x (x-3)/(x+3)(x-4)[/tex]
After dividing and simplifying we get the following answer;
[tex]= (x-3)/(x+3)[/tex]
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which set of numbers can make the inequality below true? 26> n + 15
Answer:
[tex]26 > n + 15[/tex]
[tex]11 > n[/tex]
[tex]n < 11[/tex]
a collection of five positive integers has mean $4.4$, unique mode $3$ and median $4$. if an $8$ is added to the collection, what is the new median? express your answer as a decimal to the nearest tenth.
To begin, we know that the median of the original collection of five positive integers is 4, which means that the middle number is 4. We also know that the unique mode is 3, which means that there is only one number in the collection that occurs more frequently than any other number.
Let's call the five positive integers in the original collection a, b, c, d, and e.
Since the mean of the original collection is 4.4, we can set up the equation:
(a+b+c+d+e)/5 = 4.4
Multiplying both sides by 5 gives:
a+b+c+d+e = 22
We also know that the mode is 3, which means that one of the numbers in the collection must be 3. Let's assume that a = 3, then we have:
3+b+c+d+e = 22
b+c+d+e = 19
Since the median is 4 and 3 is the unique mode, we can conclude that b, c, d, and e must be either 4 or 5. However, since there is only one unique mode, we know that there is only one number in the collection that is equal to 3. Therefore, we can conclude that the collection of five positive integers must be: 3, 4, 4, 4, 5.
If we add 8 to this collection, the new collection becomes: 3, 4, 4, 4, 5, 8. The new collection has six numbers, so the median is now the average of the two middle numbers. Since the middle two numbers are 4 and 5, the median is (4+5)/2 = 4.5.
Therefore, the new median is 4.5, expressed as a decimal to the nearest tenth.
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if the number of degrees of freedom for a chi-square distribution is 25, what is the standard deviation? round to four decimal places. standard deviation
The standard deviation for a chi square distribution for given degree of freedom is 7.0711.
The chi-square distribution is parameterized by the number of degrees of freedom (df). As the number of degrees of freedom increases, the shape of the distribution becomes more symmetrical and approaches a normal distribution.
The standard deviation (σ) of a chi-square distribution with k degrees of freedom is given by the formula:
σ = sqrt(2k)
Therefore, for a chi-square distribution with 25 degrees of freedom:
σ = sqrt(2(25)) = sqrt(50) ≈ 7.0711
Rounding this to four decimal places gives a standard deviation of approximately 7.0711.
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Grace plans on going to the amusement park this Friday. It costs $10.00 to enter the park, and then $2.50 for every ride that Grace goes on. What will be the total cost if Grace goes on 7 rides?
Answer: 27.50
Step-by-step explanation: 2.50 X 7 =17.50 + 10 = 27.50
15. Anna has $2.00 in change, including 5 quarters. What is the maximum number of dimes she can have? A 2 C 7 B 5 D 9
Answer:
To solve the problem, we need to first determine the value of the quarters Anna has. Since there are 5 quarters, we have:
5 quarters = 5 x $0.25 = $1.25
Thus, Anna has $2.00 - $1.25 = $0.75 left. We can find the maximum number of dimes she can have by dividing this amount by the value of a dime, which is $0.10. Therefore:
$0.75 ÷ $0.10 = 7.5
Since Anna cannot have a fraction of a dime, we round down to the nearest whole number to get a maximum of 7 dimes. Therefore, the answer is option B, 5.
there are 75 people at the city swim park today. everyone in the park was wearing swim suits or sunglasses, some people had both. how many people had swim suits on but not sunglasses, if you know 63 people have swim suits on and 43 have sunglasses?
If you know 63 people have swim suits on and 43 have sunglasses, 32 people have swim suits on but not sunglasses.
To find out how many people have swim suits on but not sunglasses, we can use the principle of inclusion-exclusion.
We know that there are 75 people in the park, and 63 of them have swim suits on. We also know that 43 people have sunglasses. However, some people have both swim suits and sunglasses. Let's denote the number of people who have both by x. Then we can use the formula:
total = swim suits + sunglasses - both
Substituting in the given values, we get:
75 = 63 + 43 - x
Simplifying, we get:
x = 31
Therefore, 31 people have both swim suits and sunglasses, and the number of people who have swim suits on but not sunglasses is:
63 - 31 = 32
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Factor 64v+8w. ASAPPP PLSS
Answer:49 = 7×7; 64 = 8×8; Difference Square is the answer. where a =7u; b = 8v. Hope that you carry out the rest Bianca,.. Jung Tran
Step-by-step explanation:
a normal distribution has a mean of 61 and a standard deviation of 14. what is the median? (enter an exact number as an integer, fraction, or decimal.)
The median of a normal distribution with a mean of $\mu$ and standard deviation of $\sigma$ is simply equal to the mean $\mu$. Therefore, for a normal distribution with a mean of 61 and a standard deviation of 14, the median is also 61.
This is because the normal distribution is a symmetric distribution, with the mean, median, and mode all located at the same point on the horizontal axis. The mean represents the center of the distribution and is also the balance point for the distribution, so half of the observations will be less than the mean and half will be greater than the mean.
Therefore, for a normal distribution with a given mean and standard deviation, we can use the mean as an estimate of the median. In this case, the mean is exactly equal to the median, so the median is 61.
It is worth noting that this property of normal distributions only holds for normal distributions, and not necessarily for other types of distributions. For example, in a skewed distribution, the mean and median may be quite different from each other.
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The yard pictured below has algebraic expressions for its side lengths, in metres.
Find a simplified algebraic expression for the perimeter of the yard.
Use your expression to find the perimeter in meters, if the value of x=3 m . Show your steps.
The simplified algebraic expression for the perimeter of the yard is 28m+10x, and if x=3m, then the perimeter is 58m.
The simplified algebraic expression for the perimeter of the yard is 28m+10x, and if x=3m, then the perimeter is 58m.
In the given figure, the yard is in the shape of a rectangle with dimensions (4x - 6) m and (2x + 3) m. The perimeter of a rectangle is the sum of the lengths of all four sides, which can be expressed as:
Perimeter = 2(Length + Width)
Perimeter = 2(4x - 6 + 2x + 3) m
Perimeter = 2(6x - 3) m
Perimeter = 12x - 6 m
So, a simplified algebraic expression for the perimeter of the yard is 12x - 6 m.
To find the perimeter in meters when x = 3 m, substitute x = 3 into the algebraic expression for perimeter:
Perimeter = 12(3) - 6 m
Perimeter = 30 m
Therefore, the perimeter of the yard when x = 3 m is 30 meters.
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volume of a sphere = ³, where r is the radius. The radius of a spherical planet is 6052 km, and its mass is 4.87 × 1027g. Calculate the density of the planet in kilograms per cubic metre (kg/m³). Give your answer in standard form to 3 s.f.
Answer:
5240 kg/m³
Step-by-step explanation:
You want the average density of a planet with radius 6052 km and mass 4.87×10^27 g.
Unit conversionThe mass is given in grams, and the corresponding unit in the desired answer is kilograms. There are 1000 g in 1 kg, so 4.87×10^27 g = 4.87×10^24 kg.
The radius is given in km, and the corresponding unit in the desired answer is meters. There are 1000 meters in 1 km, so 6052 km = 6052×10^3 m. (We could adjust the decimal point, but we choose to let the calculator do that.)
DensityThe units of density tell you it is computed by dividing the mass by the volume:
ρ = mass/volume
The volume of the sphere is found using the given formula, so the density is ...
ρ = (4.87×10^24 kg)/(4/3π(6052×10^3 m)^3)
ρ ≈ 5240 kg/m³
The average density of the planet is about 5240 kg/m³.
__
Additional comment
This is comparable to the average density of Earth, which is about 5520 kg/m³.
the number 5/3 can be best described as a(n) ___.
Answer: Proper fraction
Step-by-step explanation:
A proper fraction is a fraction that has its numerator value less than the denominator.
For example, ⅔, 6/7, 8/9, etc. are proper fractions.
a wooden artifact from an ancient tomb contains 70% of the carbon-14 that is present in living trees. how long ago was the artifact made?
The artifact was made about 3102.5 years ago.
An artifact from an ancient tomb contains 70% of the carbon-14 that is present in living trees, how long ago was the artifact made?
Carbon dating is used to estimate the age of organic materials, and it is used to determine the age of an artifact in this situation. The method used to estimate the age of an artifact based on its carbon-14 content is known as carbon dating. Carbon-14 has a half-life of 5,730 years. As a result, the amount of carbon-14 present in an object can be used to determine how long it has been since the object was last in contact with the atmosphere, and therefore how long it has been since it was alive.
Let C0 be the amount of carbon-14 present in living trees and C1 be the amount of carbon-14 present in the wooden artifact. After 5,730 years, C1 will have decayed to 1/2 of C0. After 2(5,730) = 11,460 years, C1 will have decayed to 1/4 of C0. After 3(5,730) = 17,190 years, C1 will have decayed to 1/8 of C0. After 4(5,730) = 22,920 years, C1 will have decayed to 1/16 of C0. After 5(5,730) = 28,650 years, C1 will have decayed to 1/32 of C0.
We'll have to solve the following equation to find the age of the artifact.
C1 = (70/100) * C0
Substitute the value of C0 into the equation and solve for t,
t = ln(0.7) / ln(1/2) = 3102.5 years
The artifact was made about 3102.5 years ago.
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a bag is filled with 200 silver coins and 123 gold coins. what is the theoretical probability of not pulling out a silver coin?
The theoretical probability of not picking the silver coin will be 0.38 .
Given,
200 silver coins and 123 gold coins are filled in a bag .
Now,
Total number of coins in a bag = gold + silver coins
Total number of coins in a bag = 200 + 123
Total number of coins in a bag = 323
Further ,
Probability of taking silver coin = 200/323
Probability of taking silver coin = 0.619.
probability of taking gold coin = 123/323
probability of taking gold coin = 0.38
Hence the probability of not selecting silver coin is 0.38 .
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Please helpppppp! I really don't understand
Answer:
AB=8.1 and B=29.6
Step-by-step explanation:
1) To find the measure of AB, use the law of cosines
[tex]c^2=4^2+7^2-2(4)(7)cos(90)[/tex]
[tex]c^2 = 16+49 -56cos(90)\\c^2= 65\\c=8.1[/tex]
2) Use law of sines to find the measure of B
[tex]\frac{8.1}{sin(90)} =\frac{4}{sin(B)}[/tex]
B=29.6
The ratio of ounces to pounds is 16:1. A veterinarian is treating a dog that weighs 46 pounds. To calculate the correct amount of medicine, the vet must convert the dog's weight
ounces. Which ratio shows the conversion to ounces?
The correct option is c: 46lb x (16 oz / 1lb). Thus, amount of medicine given for the weight of dog in ounce is 736 ounce.
Explain about the unit conversion?The same attribute is expressed using a unit conversion, but in a different measurement unit. For example say, time can be mentioned in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Measurements are frequently offered in one set of measurements, like feet, but are required in another set, like chains. A conversion factor is a mathematical equation that facilitates an equal exchange of feet for chains.
Given data:
ratio of ounces to pounds = 16:1
16 ounce / 1 pound
Let the weight of dog in ounce be 'x'.
weight of dog in pounds = 46 pounds.
ratio : x ounce / 46 pounds
Equating both ratios:
16 ounce / 1 pound = x ounce / 46 pounds
Cross multiplying:
x = 16*46 ounce
x = 736 ounce
The correct option is c: 46lb x (16 oz / 1lb)
Thus, amount of medicine given for the weight of dog in ounce is 736 ounce.
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Complete question is-
The ratio of ounces to pounds is 16:1. A veterinarian is treating a dog that weighs 46 pounds. To calculate the correct amount of medicine, the vet must convert the dog's weight
ounces. Which ratio shows the conversion to ounces?
The full question is attached.
1 point question at position 8 a stockout occurs when customer orders for a product exceed the amount of inventory kept on hand. suppose specialty toys management decides to order 15,000 units. using the demand distribution calculated earlier, what is the probability of a stockout? use 4 decimal places.
The probability using the demand distribution of a stockout is given as 0.6293.
a. profit if 15000 units are sold $120,000b. if there is demand for 15,000 units but orders only 18000 units profit is $87,000c. if there is demand for 18,000 units but orders only 24000 units profit is $78,000.Out-of-stock situations, commonly referred to as stockouts, occur when a company runs out of a product that a client is prepared to purchase. Stockouts have a direct influence on customer satisfaction and are a major reason for bad reviews, additional expenses, and lost revenue or, worse, customers.
Let X = no of demand for the toy
μ =20,000
P(10000 < X < 30000) = 0.90
X follows normal distribution
z=x−μ/σ
P(10000 < X < 30000)=0.90
P((10000−20000)/σ) < (x−20000)/σ < (30000−20000)/σ )=0.90
as probability is 0.90, the z-score =1.645.
(30000−20000)/σ =1.645
10000/σ=1.645
σ=10000/1.645
σ=6079
1.P(X>15,000)
=P(Z> (15000−20000)/6079)
=P(Z> −0.82)
=P(Z< 0.82)
=0.5+0.1293
=0.6293
2. P(X> 24000)
=P(Z> (24000−20000)/6079)
=P(Z> 0.66)
=0.5−0.2454
=0.2546
3.Expected profit = (profit per unit )*(no of sold units) + (loss per unit )*(of units unsold)
profit = $8
loss = -$11
a. profit if 15000 units are sold =(8)(15000) + (-11)(0) = $120,000
b. if there is demand for 15,000 units but orders only 18000 units profit is (8)(15000) + (-11)(3000) = $87,000
c. if there is demand for 18,000 units but orders only 24000 units profit is (8)(18000)+(-11)(6000)= $78,000.
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Complete question:
(a) What is the expected profit if all 15,000 units are sold? type your answer...
(b) Suppose there is demand for 15,000 units, but Specialty Toys orders 18,000 units? What is the expected profit? type your answer...
(c) Suppose there is demand for 18,000 units, but Specialty Toys orders 24,000 units? What is the expected profit? type your answer... 15 3 points Based on what you know about the distribution of demand, the probability of stock-outs, and the expected profit, how many units of Weather Teddy do you recommend that Specialty Toys purchase?
This is parallelograms practice and I don’t get it at all!! Please help me guys
Step-by-step explanation:
p-grams have equal opposite side lengths
soooo
5x+7 = 27
x = 4
then 22x = 22(4) = 88 units ( this is also AB length)
What are the coordinates of the vertices of the figure after a reflection across y=2:
G (-3,3), H (-2,5), I (1,1)
Answer:
G (-3,-1)
H (-2,-3)
I (1,1)
Step-by-step explanation:
After a reflection across y=2, the y-coordinates of the vertices will change sign while the x-coordinates remain the same. Thus, the new coordinates of the vertices will be:
G (-3,-1)
H (-2,-3)
I (1,1)
Answer:
G (3,3) , H (2,5), I (-1,1)
Step-by-step explanation:
Since it’s flipped over the Y-Axis, the X-Axis numbers remain the same.
WRONG!!
didnt read the question correctly, so the vertices are incorrect lol.
I NEED HELP ON THIS ASAP!
Answer:
16 represents the hours available to sew gloves.
2 represents the cost of producing gloves for a small pair.
Step-by-step explanation:
the coefficient of correlation is a useful measure of the linear relationship between two variables. true false
The statement is true.
The coefficient of correlation, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, with a value of -1 indicating a perfect negative correlation, a value of 0 indicating no correlation, and a value of 1 indicating a perfect positive correlation.
The coefficient of correlation is useful in many applications, including research, business, and finance. It allows us to quantify how closely related two variables are, which is important when analyzing data and making predictions.
For example, in finance, the correlation coefficient can be used to measure the degree of correlation between the returns of two assets, which is important when building diversified portfolios. It is important to note, however, that the coefficient of correlation only measures the strength and direction of the linear relationship between two variables.
It does not indicate causation, nor does it capture any non-linear relationships that may exist between the variables. Therefore, it should be used in conjunction with other analytical tools to fully understand the nature of the relationship between the variables.
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