Answer:
D
Step-by-step explanation:
D includes all possible outcomes.
Answer:
D
Step-by-step explanation:
D show all the possible answers so D.
24=x^2−4x+3 completing the square
Answer:
-3,7
Step-by-step explanation:
See the Image below:)
Given a=−4 and r=2 in a geometric sequence, find T
3
,T
8
,T
n
. Consider the series −3,15,−75… - Find a: - Find r, the common ratio: - Find the 11
th
term of the sequence: 1. Find the sum of the terms of the series 36,24,16,… 2. The limiting sum of a series is 36. If a=8, find the value of r. 3. A ball is dropped from 4 m and bounces back to 3/4 of its previous height. If it continues to bounce until comes to rest, what is the total distance the ball falls?
the sum of the terms of the series 36, 24, 16..., we can use the formula for the sum of an infinite geometric series is is -36,The limiting sum of a series is 36. If a = 8, we can find the value of r using the formula for the sum of an infinite geometric series is 7 / 9 and the total distance the ball falls is 16 meters.
Given a=−4 and r=2 in a geometric sequence, we can find the values of T3, T8, and Tn by using the formula for the nth term of a geometric sequence:
\(Tn = a * r^(n-1)\)
To find T3:
T3 = -4 * 2^(3-1)
T3 = -4 * 2^2
T3 = -4 * 4
T3 = -16
To find T8:
T8 = -4 * 2^(8-1)
T8 = -4 * 2^7
T8 = -4 * 128
T8 = -512
To find Tn, we need to know the value of n. Please provide the value of n to calculate Tn.
Now, let's move on to the series -3, 15, -75...
To find the common ratio (r), we can divide any term by its previous term. Let's use the second and first terms:
r = 15 / (-3)
r = -5
To find the first term (a), we can use the second term and the common ratio:
-3 = a * (-5)
a = -3 / (-5)
a = 3/5
Now, let's find the 11th term of the sequence:
T11 = a * r^(11-1)
T11 = (3/5) * (-5)^10
T11 = (3/5) * 9765625
T11 = 5859375/5
T11 = 1171875
Moving on to the next question:
1. To find the sum of the terms of the series 36, 24, 16..., we can use the formula for the sum of an infinite geometric series:
Sum = a / (1 - r)
Since this is an infinite series and the common ratio (r) is less than 1 in absolute value, the sum is finite. So, we can find the sum using the given values:
Sum = 36 / (1 - 2)
Sum = 36 / (-1)
Sum = -36
2. The limiting sum of a series is 36. If a = 8, we can find the value of r using the formula for the sum of an infinite geometric series:
Sum = a / (1 - r)
Substituting the given values:
36 = 8 / (1 - r)
Solving for r:
36(1 - r) = 8
36 - 36r = 8
36r = 36 - 8
36r = 28
r = 28 / 36
r = 7 / 9
3. A ball is dropped from 4 m and bounces back to 3/4 of its previous height. If it continues to bounce until it comes to rest, we need to find the total distance the ball falls.
The first fall from 4 m is straightforward, so the distance fallen is 4 m. For each subsequent bounce, the ball reaches 3/4 of its previous height, so the distance fallen decreases by a factor of 3/4 each time.
The total distance fallen can be calculated using the formula for the sum of an infinite geometric series:
Distance = a / (1 - r)
Substituting the given values:
Distance = 4 / (1 - 3/4)
Simplifying:
Distance = 4 / (1/4)
Distance = 4 * 4
Distance = 16 m
Therefore, the total distance the ball falls is 16 meters.
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Hen interpreting f (7, 31) = 4.78, p > 0.05. How many subjects were tested in this simple one-way anova?
39 subjects were tested in this simple one-way ANOVA.
The df for F distribution is (treatment df, error df)
Using given information
Treatment df = 7
Error df = 31
Total df= 7+31 = 38
Again, total df = N-1, N= number of subjects tested
Then, N-1 = 38
=> N= 39
One-way ANOVA is typically used when there is a single independent variable or factor and the goal is to see whether variation or different levels of that factor have a measurable effect on the dependent variable.
The t-test is a method of determining whether two populations are statistically different from each other, and ANOVA determines whether three or more populations are statistically different from each other.
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under what circumstances will the chi-square test for goodness of fit produce a large value for chi-square?
The chi-square test for goodness of fit will produce a large value for chi-square under the circumstances where the observed frequencies significantly deviate from the expected frequencies based on the null hypothesis.
The chi-square test for goodness of fit is used to determine if there is a significant difference between the observed frequencies in a sample and the expected frequencies based on a specified distribution.
The test compares the observed frequencies in different categories or groups with the expected frequencies under the null hypothesis.
A large value for chi-square indicates a significant discrepancy between the observed and expected frequencies, suggesting that the null hypothesis is not supported.
This can occur in several circumstances.
First, if the sample size is large, even small differences between observed and expected frequencies can lead to a significant chi-square value.
Second, if there are substantial deviations between the observed and expected frequencies in one or more categories, the chi-square value will be large. This could indicate a lack of fit between the observed data and the expected distribution.
Additionally, if the assumptions of the chi-square test are violated, such as independence of observations or expected frequencies being sufficiently large, it can lead to inflated chi-square values.
These violations can distort the results and lead to a larger chi-square value.
In summary, the chi-square test for goodness of fit produces a large chi-square value when the observed frequencies significantly deviate from the expected frequencies, indicating a lack of fit between the observed data and the expected distribution.
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Shoes r us is a bargain shoe company. They purchase shoes at a discount rate and then mark them up. What is the markup rate if they purchase shoes at $25 and sell them for $145? (write the answer as a decimal)
Answer:
The markup rate for Shoes r us is 0.8 or 80%.
Some help please worth 15 points
Answer:
31
Step-by-step explanation:
maybe
Answer:
38
Step-by-step explanation:
Since for this kind of equation, it always has to equal 360 all around, but since we're only measuring the angle for one side, we have to get 180
So we have our work cut out for us with 155
So 180 - 155 = 25
So we have to find the x value that makes 25
32 - 13 = 19, so that answer is eliminated
38 - 13 = 25
So the answer is x = 38
Also little tip:
Judging by the circles for multiple choice, you're using Forms, so you can press control + U to find the answers in the code
There are four candidates for homecoming queen and three candidates for king. How many king-queen pairs are possible?
The number of possible king-queen pairs can be determined by multiplying the number of candidates for king by the number of candidates for queen.
To calculate the number of king-queen pairs, we multiply the number of candidates for king by the number of candidates for queen. In this case, there are four candidates for homecoming queen and three candidates for king. Therefore, the total number of king-queen pairs would be 4 multiplied by 3, which equals 12.
Each candidate for king can be paired with each candidate for queen, resulting in multiple possible combinations. By multiplying the number of candidates for each position, we account for all possible pairings. In this scenario, there are three potential kings and four potential queens. For each king, there are four possible queens he can be paired with. Since there are three kings, we multiply 3 by 4 to get the total number of 12 king-queen pairs.
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A bag contains 11 red M&Ms, 8 green M&Ms, and 6 blue M&Ms
What ratio of the blue M&Ms to green M&Ms?
__________________________________
What is the ratio of blue M&Ms to the total number of M&Ms?
_______________________________________________
Answers:
Blue to green - 3:4
Blue to total - 6:25
CONGRATULATIONS!!!
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A scatter plot is shown on the coordinate plane.
scatter plot with points plotted at 1 comma 5, 1 comma 8, 2 comma 4, 3 comma 5, 3 comma 6, 5 comma 6, 6 comma 4, 7 comma 2, 9 comma 1, and 10 comma 1
Which two points would a line of fit go through to best fit the data?
(6, 4) and (9, 1)
(3, 5) and (10, 1)
(1, 8) and (5, 6)
(1, 5) and (7, 3)
Answer:
I believe (3, 5) and (10, 1) is the answer
Step-by-step explanation:
what minus 12 gets 12.5
Step-by-step explanation below.
24.5 - 12 = 12.5
Step-by-step explanation:
let number be X
X - 12 = 12.5
x = 12.5 + 12
x = 24.5
MARK ME BRAINLISTFind the component form of v with a magnitude of 50 in the opposite direction of u = (2, -3/2)
The component form of vector v with a magnitude of 50 in the opposite direction of vector u = (2, -3/2) is (-400/sqrt(13), 600/sqrt(13)).
To find the component form of vector v with a magnitude of 50 in the opposite direction of vector u = (2, -3/2), we can use the following formula:
v = -||v|| * u / ||u||
where ||v|| is the magnitude of vector v, - is the opposite direction operator, and ||u|| is the magnitude of vector u.
First, we need to find the magnitude of vector u:
||u|| = sqrt(2^2 + (-3/2)^2) = sqrt(13/4) = sqrt(13)/2
Next, we can plug in the values and simplify:
v = -50 * (2, -3/2) / (sqrt(13)/2)
= -100/sqrt(13) * (2, -3/2)
= (-400/sqrt(13), 600/sqrt(13))
Therefore, the component form of vector v with a magnitude of 50 in the opposite direction of vector u = (2, -3/2) is (-400/sqrt(13), 600/sqrt(13)).
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n engineering school reports that 59% of its students are male (M), 33% of its students are between the ages of 18 and 20 (A), and that 20% are both male and between the ages of 18 and 20. What is the probability of a random student being chosen who is a female and is not between the ages of 18 and 20
Answer:
The probability of a random student being chosen who is a female and is not between the ages of 18 and 20 is 0.28 or 28%.
Step-by-step explanation:
we can use the principle of inclusion-exclusion and the given information about the probabilities.
Let's denote the event of a student being male as M, the event of a student being between the ages of 18 and 20 as A, and the event of a student being female as F.
We are given the following probabilities:
P(M) = 59% = 0.59
P(A) = 33% = 0.33
P(M ∩ A) = 20% = 0.20
We want to find the probability of a random student being chosen who is a female (F) and is not between the ages of 18 and 20 (¬A).
Using the principle of inclusion-exclusion, we can calculate this probability as:
P(F ∩ ¬A) = P(F) - P(F ∩ A)
To calculate P(F), we need to find the complement of P(M) (since P(F) + P(M) = 1):
P(F) = 1 - P(M) = 1 - 0.59 = 0.41
Now let's calculate P(F ∩ A):
P(F ∩ A) = P(A) - P(M ∩ A) = 0.33 - 0.20 = 0.13
Finally, we can calculate the probability of a random student being chosen who is a female and is not between the ages of 18 and 20:
P(F ∩ ¬A) = P(F) - P(F ∩ A) = 0.41 - 0.13 = 0.28
Therefore, the probability of a random student being chosen who is a female and is not between the ages of 18 and 20 is 0.28 or 28%
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can someone help me figure this out please?
Answer:
Subtract 7 from both sides
Step-by-step explanation:
The first step is to collect all the whole numbers to isolate the variable.
a coin is unbalanced such that it comes up tails 55 of the time
The probability is 0.091125.
To calculate the probability of not flipping a head until the fourth flip, we need to consider the probability of flipping tails in each of the first three flips.
Given that the coin comes up tails 55% of the time, the probability of flipping tails on any given flip is 0.55. The probability of not flipping a head on a single flip is therefore 1 - 0.55 = 0.45.
Since we want to find the probability of not flipping a head until the fourth flip, we need to calculate the probability of flipping tails on each of the first three flips and then multiplying them together.
P(not flipping a head on the first flip) = 0.45
P(not flipping a head on the second flip) = 0.45
P(not flipping a head on the third flip) = 0.45
To find the probability of all three events occurring, we multiply the individual probabilities together:
P(not flipping a head until the fourth flip) = 0.45 * 0.45 * 0.45 = 0.091125
Therefore, the probability of not flipping a head until the fourth flip is approximately 0.091125, or 9.11%.
Correct Question :
A coin is unbalanced such that it comes up tails 55% of the time. What is the probability that you don't flip a head until the fourth flip?
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25.5125 como lo conmvierto a sexigesimal
25.5125 = 25 + 5125 / 10⁴ = 25 + 41 / 80
(41 / 80) / 60⁻¹ = 2460 / 80 = 123 / 4 = 30.75
30.75 = 30 + 75 / 10² = 30 + 3 / 4
(3 / 4) / 60⁻² = 180 / 4 = 45
→ 25.5125₁₀ = [25].[30][45]₆₀
What are the x-intercept(s) of the function the quantity of 5 x squared minus 25 x, all over x? x = 5 x = 0 and x = 5 x = 0 x = −5
The value of x will be 0 and x = 5. The correct option is A.
What is the x-intercept?The x-intercept is the point at which a line intersects the x-axis, and the y-intercept is the point at which the line intersects the y-axis.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the x-intercept(s) of the function is the quantity of 5x² - 25x.
The value of the x-intercept will be calculated as,
5x² - 25x = 0
5x( x -25) = 0
5x = 0 and x - 5 = 0
x = 0 and x = 5
Therefore, the value of x will be 0 and x = 5. The correct option is A.
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Answer:
it's x = 5
Step-by-step explanation:
got it right on the test.
9. a three-digit number, xyz, is formed of three different non-zero digits x , y , and z. a new number is formed by rearranging the same three digits. what is the greatest possible difference between the two numbers? (for ex- ample, 345 could be rearranged into 435, for a difference of 435 - 345
In linear equation, 792, which is the highest possible difference.
What are a definition and an example of a linear equation?
An equation in which there is only one variable is known as a linear equation in one variable.It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.One such linear equation in one variable is 9x + 78 = 18.Let m be the digit from 2 to 8.
The larger three digit number will look like 9m1, while the smaller three digit number will look like 1m9.
Assume a three digits number lets say 189.
Then the largest possible three digit number after rearranging above number is 981.
981 - 189 = 792
Again assume a three digits number lets say 149.
Then the largest possible three digit number after rearranging above number is 941.
941 - 149 = 792
for m their difference is constant i.e:792, which is the highest possible difference.
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3.x2 + 42x = -24
Solve the equation by completing the square
Answer:Exact Form: x = ± √ 41 − 7
Decimal Form:
x = − 0.59687576 … , − 13.40312423 …
Step-by-step explanation:Use the formula
in order to create a new term. Solve for x by using this term tocompletethe square.
Exact Form: x = ± √ 41 − 7
Decimal Form:
x = − 0.59687576 … , − 13.40312423 …
Which two numbers does √√61 lie between on a number line? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and Which two numbers does √√61 lie between on a number line ? O 7.7 and 7.8 O 7.8 and 7.9 O 7.9 and 8.0 Stm O 8.0 and 8.1
Answer:
B) 7.8 and 7.9
Step-by-step explanation:
Taking the square root of 61, we can conclude that the decimal form is 7.810, which falls between the range of 7.8 and 7.9
Answer:
√61 lie between 7.8 and 7.9
What is the solution to this equation?
2(5x + 8) = 6x + 20
O A. x= -9
O B. x= 9
O C. x = 1
O D. x= -1
SUBM
Answer:
x=1
Step-by-step explanation:
2(5x + 8) = 6x + 20
Divide each side by 2
2/2(5x + 8) = 6x/2 + 20/2
5x+8 = 3x+10
Subtract 3x from each side
5x-3x +8 = 3x-3x+10
2x+8 = 10
Subtract 8 from each side
2x+8-8=10-8
2x=2
Divide by 2
2x/2 = 2/2
x=1
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!
Martha needs 28 strawberries for every 4 smoothies she makes. plete the table using equivalent ratios.
Answer:
strawberries smoothies
28 4
21 3
70 10
Step-by-step explanation:
Find the missing valuess
Answer:
∠ K = 129° , ∠ M = 93°
Step-by-step explanation:
the figure has one pair of parallel sides and is therefore a trapezoid.
• Each lower base angle is supplementary to the upper base angle on the same side , then
∠ K = 180° - 51° = 129°
∠ M = 180° - 87° - 93°
A blueprint for a house has a scale of 1:30. A wall in the blueprint is 3 in. What is the length of the actual wall?
30
60
90
120
Answer:
C.90
Step-by-step explanation:
1 inch = 30
30 * 3 = 90
Normal probability distribution is applied to: A. a subjective random variable B. a discrete random variable C. any random variable D. a continuous random variable
Normal probability distribution is applied to a continuous random variable. The correct option is D.
The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.
The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.
The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.
Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.
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rotate (-5,6) 180 clockwise
Answer:
(5 , -6)
Step-by-step explanation:
When you are going to rotate something to 180 degrees, either in the clockwise or counterclockwise direction, each point of x and y will be changed from (x, y) to (-x, -y).
Before rotation, x = -5 and y = 6
After rotation, x = 5 and y = -6
Answer:
(5 , -6) when rotated 180 degrees
the scatterplot that is pictured below represents results from a normal peripheral blood sample that was analyzed using flow cytometry. the cell that is indicated by the arrow on the right would fall into which of the circled areas? please select the single best answer population a population b population c
The cell that is indicated by the arrow on the right would fall into population c of the circled areas.
We know that the scatterplot that is pictured below represents results from a normal peripheral blood sample that was analyzed using flow cytometry, the cell that is indicated by the arrow on the right would fall into population c of the circled areas.
Red blood cells are equipped with iron, which binds to oxygen molecules and enables them to be transported throughout the body. In terms of immunity, these cells break down in the presence of harmful pathogens, releasing free radicals that can help to destroy them. Leukocytes play a crucial role in fighting off disease and foreign invaders. Granulocytes, including eosinophils, basophils, and neutrophils, are responsible for battling fungi, bacteria, and parasites, as well as responding to allergic reactions. Meanwhile, the agranulocytes, which include monocytes, lymphocytes, and macrophages, differentiate into macrophages and target B cells, T cells, and natural killer cells, while also performing the important function of phagocytosis. Thrombocytes are responsible for maintaining the body's blood volume and preventing bleeding by promoting clot formation. This process is known as hemostasis. Finally, blood plasma serves as the transport medium for all of the components of peripheral blood, with carbon dioxide playing a key role in enabling the removal of waste and other excretory matter from the body.
The circulating blood of the body is known as peripheral blood. It is comprised of red blood cells, white blood cells, and platelets. These cells are suspended in plasma and circulated throughout the body.
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Consider a sample of footballâ games, where 28 of them were won by the home team. Use a 0.01 significance level to test the claim that the probability that the home team wins is greater thanâ one-half.
The null hypothesis is that the probability of the home team winning is equal to 0.5, or 50%. The alternative hypothesis is that the probability of the home team winning is greater than 0.5.
The test statistic for this hypothesis test is the binomial test statistic, which is calculated as follows:
z = (p - 0.5) / √(0.5 × 0.5 / n)
where p is the sample proportion of home team wins, n is the sample size, and 0.5 is the hypothesized probability of a home team win.
In this case, the test statistic is calculated as follows:
z = (28 / 50 - 0.5) / √(0.5 × 0.5 / 50) = 2.41
The critical value for this hypothesis test is z = 2.33, which is the value of z that cuts off the top 0.01 of the standard normal distribution.
Since the test statistic (2.41) is greater than the critical value (2.33), we can reject the null hypothesis. This indicates that there is enough data to prove that the home team has a higher than 0.5 chance of winning.
In conclusion, the probability of the home team winning in a football game is greater than 0.5. This means that the home team has an advantage over the away team.
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printer a can print a 300 page document in 10 minutes. printer b can print a 400 page document in 8 minutes. Both printers were run until a total of 1000 pages were printed. How many pages did printer b print?
Answer:
625 pages
Step-by-step explanation:
Rate x time of the one printer + the rate x time of the second printer = 1000 pages
t= time
(\(\frac{300}{10}\) )t +( \(\frac{400}{8}\)) t = 1000
30t + 50t = 1000
t(30 + 50) = 1000
80t = 1000 Divide both sides by 80
t = 12.5
It took 12.5 minutes to get this job done with both printers.
Look at printer b
\(\frac{400}{8}\) (12.5) = pages
50 x 12.5 = 625 pages
help me please for points
Answer:
B
Step-by-step explanation:
40-2n
when n=2
simply replace n with 2
therefore we have
=40-2(2)
=40-4
answer=36