The most common distance for a thoroughbred horse race, 6 furlongs, is equivalent to 1.21 kilometers (km).
A furlong is a unit of measurement commonly used in horse racing and is equal to one-eighth of a mile, which is approximately 201.168 meters. To convert furlongs to kilometers, we can use the conversion factor of 0.201168 km per furlong.
So, when we multiply 6 furlongs by the conversion factor, we get:
6 furlongs * 0.201168 km/furlong = 1.207008 km
Rounded to the nearest hundredth of a kilometer, the distance of 6 furlongs is approximately 1.21 kilometers.
Therefore, the most common distance for a thoroughbred horse race, 6 furlongs, is approximately 1.21 kilometers (km).
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Write the standard equation of the circle.
I’ll give brainliest!
Choose the best estimate for the weight of a cantaloupe. Responses A 2 decigrams2 decigrams B 2 kilograms2 kilograms C 2 grams2 grams D 2 milligrams
The best estimate for the weight of a cantaloupe is 2 kilograms (B).
A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.
Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.
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Complete Question:
Choose the best estimate for the weight of a cantaloupe. Responses
A 2 decigrams
B 2 kilograms
C 2 grams
D 2 milligrams
mariana earned a score of 338 on exam a that had a mean of 350 and a standard deviation of 40. she is about to take exam b that has a mean of 650 and a standard deviation of 20. how well must mariana score on exam b in order to do equivalently well as she did on exam a? assume that scores on each exam are normally distributed.
In order to perform equivalently well on exam B as she did on exam A, Mariana needs to achieve a score that is at least equivalent to her Z-score on exam A. Using the Z-score formula, we can calculate that Mariana's Z-score on exam A was -0.3. To achieve an equivalent score on exam B, we need to calculate the raw score that corresponds to a Z-score of -0.3 on exam B. This can be done using the formula Z = (X - μ) / σ. Solving for X, we get X = Z * σ + μ. Plugging in the values for exam B, we get X = -0.3 * 20 + 650 = 643.
In order to compare the performance on two different exams with different means and standard deviations, we use Z-scores to standardize the data. This allows us to compare scores on different scales. The formula to calculate Z-score is Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation. The Z-score tells us how many standard deviations a score is from the mean. A Z-score of 0 means the score is at the mean, while a positive Z-score indicates that the score is above the mean and a negative Z-score indicates that the score is below the mean.
Mariana needs to achieve a score of at least 643 on exam B to perform equivalently as she did on exam A.
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is an angle in a right-angled triangle.
tan 0
=
23
52
What is the value of 0?
Give your answer in degrees to 1 d.p.
Yes, an angle in a right-angled triangle is always present. Without any additional information about the triangle, it is impossible to determine the value of the angle in question.
In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.
To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.
For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.
If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.
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A coin is tossed three times. What is the probability that the first toss and the last toss yield different outputs?.
There is a 0.5 probability that the first toss and the last toss yield different outputs.
Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
The sample space for a coin tossed three times is:
P = {HHH, HTH, HHT, HTT, TTT, THH, THT, TTH}
Now, out of this, we have to find the probability that the first and last toss are different results, i.e., if first toss is heads then last toss should be tails, and vice-versa.
The sample space for this is:
P = {HHT, HTT, THH, TTH}
The probability is:
\(P = \frac{4}{8} = \frac{1}{2}\)
Therefore, there is a 0.5 probability that the first toss and the last toss yield different outputs.
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There is a 0.5 probability that the first toss and the last toss yield different outputs.
Now, According to the question:
Let's know:
What is probability and example?
It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½.
The sample space for a coin tossed three times is:
P = {HHH, HTH, HHT, HTT, TTT, THH, THT, TTH}
Now, out of this, we have to find the probability that the first and last toss are different results, i.e., if first toss is heads then last toss should be tails, and vice-versa.
The sample space for this is:
P = {HHT, HTT, THH, TTH}
Probability = Number of Favorable Outcomes / Total Number of Outcomes.
P = 4/8 = 1/2
Therefore, there is a 0.5 probability that the first toss and the last toss yield different outputs.
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What are the coordinates of the point on the directed line segment from (-8, -1)(−8,−1) to (6, -8)(6,−8) that partitions the segment into a ratio of 3 to 4?
Answer:
8/5=3.6
2*3.6=7.2
3*3.6=10.8
Step-by-step explanation:
3(b + 8) = b + 48 PORFAVOR con plantamiento operacion y resultado, y de paso me explique el temas nsd9ucancuqna :( amaba matematicas. doy corona
Answer:
b=12
Step-by-step explanation:
3b +24= b +48
-24 -24
3b = b+ 24
-b -b
2b = 24
÷2 ÷2
b=12
The junior high art club sells candles for a fundraiser. The first week of the fundraiser, the club sells 7 cases of candles. Each case contains 40 candles. The goal is to sell at least 13 cases. During the second week of the fundraiser, the club meets its goal.
Answer:
The minimum number of cases sold the second week was
The number of candles sold in the second week is 240 candles
What is Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Number of cases sold on first week = 7 cases
Number of candles in each case = 40 candles
Total cases of candles to be sold = 13 cases
Remaining cases of candles to be sold in second week =
Total cases of candles to be sold - Number of cases sold on first week
Remaining cases of candles to be sold in second week = 13 - 7
= 6 cases
Therefore , number of candles in 6 cases = 6 x 40
= 240 candles
Hence , the number of candles sold in the second week is 240 candles
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A poll conducted by the UC Berkeley Institute of Governmental Studies in 2019 found that 51.7% of 4527 respondents said they considered moving out of the state. Complete parts a through c. a) Compute a 90% confidence interval for the proportion of all Californians who considered moving out of state. b) Int repret your interval in this context. Select the correct answer below and fill in the answer baxes to complete your choice: (Type integers or decimals rounded to one decimal place as needed.) A. One is 90% conficent that the probability a randomly sampled Casfornian who considered moving out of the state is between and B. One is 90% confident that the true proportion of Californans who considered moving out of the slate is between y and C. The percent of Calilomians who considered moving out of the state is between % and D. There is a 90se chance, based on this sample, that betreen … and % of Californians considered moving out of state c) Since high cost of housing has often been cited as a reason why residents move out, suppose thę state government wil consider investing in new aftordable housing initiatives if it can be reasonably sure that more than 50% of Californians would consider moving. What should the state government conclude, based on the data? Since the contidence interval _____50\%, the state government____consider investing in new atordabie housing initiatives.
Therefore, the state government should consider investing in new affordable housing initiatives.
a) To compute the 90% confidence interval, we can use the formula:
CI = p ± z*(√(p(1-p))/n)
where p is the sample proportion, z is the z-score corresponding to a 90% confidence level (which is 1.645), and n is the sample size.
Plugging in the values, we get:
CI = 0.517 ± 1.645*(√((0.517)(1-0.517))/4527)
CI = 0.505 to 0.529 (rounded to three decimal places)
b) The 90% confidence interval tells us that we are 90% confident that the true proportion of Californians who considered moving out of the state is between 0.505 and 0.529.
c) Since the confidence interval does not include the value of 0.5, which is the null hypothesis value, we can conclude that there is evidence to suggest that more than 50% of Californians would consider moving out of state due to high cost of housing.
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A recent survey showed that 73% of elementary school students have a pet. What is the ratio of students who have a pet to students who do not have a pet?
Answer:
73 : 27
Step-by-step explanation:
You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.
No petIf 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.
RatioThe ratio of students who have a pet to students who don't have a pet is then ...
(have a pet) : (don't have a pet) = 73% : 27% = 73 : 27
According to a recent survey, 73% of elementary school students have a pet, making the ratio of students with pets to those without pets 73:27.
What is ratio?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. The ratio of oranges to the total amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).
You want the ratio of students that have a pet to students that don't have a pet, given that 73% of students have a pet.
If 73% of students have a pet, then the remaining 100% -73% = 27% of students do not have a pet.
The ratio of students who have a pet to students who don't have a pet is then,(have a pet) : (don't have a pet) = 73% : 27% = 73 : 27
A recent survey found that 73% of elementary school students own a pet, making the proportion of students who own pets to those who don't stand at 73:27.
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PLEASE HELP...
1.) Solve y = x - 5 if the domain is -3
2.) Solve y = x - 5 if the domain is 5
WHO WANTS A BRAINLIEST !!!!
Answer:
1) y=-8
2) y=0
Step-by-step explanation:
I just plugged it in for the domain (x)
(honestly its been a while since I've done tis so I'm only about 74% sure)
An identification code is to consist of 2 letters followed by 2 digits. Determine the following.
a) How many different codes are possible if repetition is not permitted?
b) How many different codes are possible if repetition is permitted?
c) How many different codes are possible if repetition of letters is permitted, repetition of numbers is not permitted, and the first 2 letters must be the same letter?
d) How many different codes are possible if the first letter must be N, O, P, Q, R, or S and repetition of letters and numbers is not permitted?
a) How many different codes are possible if repetition is not permitted? Choose the correct answer below.
A. 740
B. 58,500
C. 11,232,000
D. 67,600
b) How many different codes are possible if repetition is permitted? Choose the correct answer below.
A.4
B. 67,600
C. 776
D. 58,500
If repetition is not permitted D. 67,600
If repetition is permitted C. 776
If repetition is not permitted, we can break down the possibilities for each component:
- For the first letter, there are 26 choices (since there are 26 letters in the English alphabet).
- After selecting the first letter, there are 25 choices left for the second letter (since repetition is not permitted).
- For the first digit, there are 10 choices (0-9).
- After selecting the first digit, there are 9 choices left for the second digit (since repetition is not permitted).
To determine the total number of possible codes, we multiply the number of choices for each component: 26 * 25 * 10 * 9 = 58,500. Therefore, the correct answer is D. 67,600.
If repetition is permitted, we can break down the possibilities for each component:
- For both letters, there are 26 choices (since repetition is permitted).
- For both digits, there are 10 choices (0-9).
To determine the total number of possible codes, we multiply the number of choices for each component: 26 * 26 * 10 * 10 = 67,600. Therefore, the correct answer is C. 776.
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Substitution Property
If x=-2 and y+3x=10, then
Answer:
y=16
Step-by-step explanation:
If x=-2, then we can substitute for x in the y+3(-2)=10. y-6=10, we add 6 to both sides to isolate y giving y=16
Explore equivalent ratios by using the slider. Complete the sentences below. For every __ apples, there are 6 oranges.
Answer:
For every 2 apples, there are 6 oranges
Step-by-step explanation:
I got it on khan so trust me
(P. S. could u give me brainliest?)
in a certain company 120 of the employees are men. what is the total number of employees if 5 out of every 8 employees are men?
Answer:
There are 192 employees in the company.
Step-by-step explanation:
Let x be the total number of employees
Use ratio and proportion
\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)
x = 192
an engine is operating at 25%of it's full power. which number line shows that represents 25%?
25 % its equal to 1/4
in Option b 1 is divided into 8 equal parts.
2 is 1/4 of 8.
So, correct option is B.
Letr = (7, 1) and s= (-12, -3). What is r-s?
Answer: (19,4)
Step-by-step explanation:
Subtract the x axis with the x axis and y with y.
So,
7-(-12)= 19
1-(-3)= 4
I need help again- for like the 10th time, I’ll give BRAINLIEST for the correct answer :) 2 or more answers :D
its A, i made a wrong calculation sorry.
Answer:
A
Step-by-step explanation:
Because I SAID SO
Maggie is making trail mix. She makes 4 batches of the recipe shown. She divides it into 3 equal-sized bags. How many ounces are in each bag?
Answer:
There are several steps to this problem, but they are easy steps . First, determine how many ounces are in one recipe by adding all the ounces of the ingredients together: 8 + 5 + 2 + 3 = 18.
Now multiply that amount by 4, because she made 4 batches:
18 x 4 = 72
Finally, divide the total amount by 3, because she put it in three bags. 72/3 = 24
an srs of 24 students at uh gave an average height of 5.4 feet and a standard deviation of .1 feet. construct a 90% confidence interval for the mean height of students at uh.
The confidence interval for the mean height of the students is
(21.46 , 26.54).
Subtract 1 from your sample size. 24 – 1 = 23.
Now, we have 23 as a degrees of freedom.
Now, Subtract the confidence level from 1, then divide by two.
(1 – 0.9) / 2 = 0.05
Using the t-distribution table.
for df = 23 we have 2.306
Now, 5.4 / √(24) = 1.10
2.306 × 1.10 = 2.54
So, the lower end of the range be,
24 – 2.54 = 21.46
and the upper end of the range be,
24 + 2.54 = 26.54
So, the confidence interval for the mean height of the students is
(21.46 , 26.54).
Hence, the confidence interval for the mean height of the students is
(21.46 , 26.54).
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b) 4 people are chosen from a 25-member club for president, vice president, secretary, and treasurer. in how many different ways can this be done?
Therefore , the solution of the given problem of combination comes out to be there are 12650 ways to choose all the people.
Define combination.Combinations are mathematical procedures that count every possible configuration from a set of components, disregarding the selection's direction. The pieces can be combined in any arrangement, in any order. Combinations and permutations are both feasible.
Here,
Given :
4 people are chosen from a 25-member club for president, vice president, secretary, and treasurer
To find the number of ways , they can be choose
So,
Using combination formula :
=> (25)C(4)
=> 25! / (4! * 2!)
=> 12650
Thus , there are 12650 ways to choose all the people.
Therefore , the solution of the given problem of combination comes out to be there are 12650 ways to choose all the people.
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If the ratio of children to adults is 2:9 and there are 70 children at an arts festival, how many adults are in attendance?
Answer
How to enter your answer
adults
Answer:
315
Step-by-step explanation:
If 70 children is 2 parts, one part is 35
35*9 is 315
Answer:
315 adults
Step-by-step explanation:
2:9 where 2 is children and 9 is adults.
2 = 70, therefore 1 = 35
35 x 9 = 315
Fill in the blank with the correct response.
A(n)STEM_________degree is awarded to students who have completed a program of study that is at least one year beyond a bachelor’s degree
A STEM (Science, Technology, Engineering, and Mathematics) degree is awarded to students who have completed a program of study that is at least one year beyond a bachelor’s degree.
STEM degrees cover a wide range of topics, including mathematics, computer science, engineering, and other sciences. These degrees can provide a strong foundation for a career in a variety of industries, including technology, healthcare, and education.
When pursuing a STEM degree, students must complete a set of specific courses that are related to their chosen major. These courses may include mathematics, physics, chemistry, biology, computer science, engineering, and other related subjects. Additionally, students must also complete a certain number of hours of lab and/or research experiences. Depending on the degree program, students may also be required to complete an internship, apprenticeship, or other work experience.
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what is the value of x?
Answer:
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180 degrees
so
70 + 35 + x = 180 add like terms
105 + x = 180 subtract 105 from both sides
x = 75
Answer:
75 degrees
Step-by-step explanation
triangles add up to 180 degrees so, 70+35= 105 degrees, 180-105= 75 degrees
For a=3 simply a2 +5a +4 and a2 -5a
Answer:
\(a2 + 5a + 4 \: \: when \: a = 3 \\ = (3)2 + 5(3) + 4 \\ \\ = 6 + 15 + 4 \\ = 25\)
\(a2 - 5a \: \: when \: a = 3 \\ = (3)2 - 5(3) \\ = 6 - 15 \\ = - 9\)
find x
the area of the end surface
the volume
the total surface
Answer:
(i) x = 17 cm
(ii) one end: 360 cm²; both ends: 720 cm²
(iii) 14,400 cm³
(iv) 4000 cm²
Step-by-step explanation:
You want the slant height, base area, volume, and total surface area of a trapezoidal prism with the base isosceles trapezoid having parallel base lengths of 32 and 16, and a height of 15. The distance between bases is 40. All units are cm.
(i) Slant heightIf a center rectangle 16 cm wide and 15 cm high is cut from the base trapezoid, the remaining two triangles have a base of 8 cm and a height of 15 cm. The Pythagorean theorem can be used to find the slant height:
x² = a² +b²
x² = 8² +15² = 64 +225 = 289
x = √289 = 17
The slant height, x, is 17 cm.
(ii) Base areaThe area of the base trapezoid is given by the formula ...
A = 1/2(b1 +b2)h
A = 1/2(32 +16)(15) = 360 . . . . square cm
The area of one end surface is 360 cm²; the total area of both end surfaces is 720 cm².
(iii) VolumeThe volume of the prism is the product of the base area and the length of the prism.
V = Bh
V = (360 cm²)(40 cm) = 14,400 cm³
The volume of the trapezoidal prism is 14,400 cm³.
(iv) Total surface areaThe lateral surface area of the prism is the product of the perimeter of the base and the distance between bases.
LA = Ph
LA = (32 +16 +2·17 cm)(40 cm) = 3280 cm²
The total surface area is the sum of the lateral area and the area of the two bases:
SA = LA +2B = (3280 cm²) + 2(360 cm²) = 4000 cm²
The total surface area of the prism is 4000 square centimeters.
__
Additional comment
It appears that the top dashed line in the figure is drawn that way in error. It appears to identify a visible edge, so we expect it to be a solid line.
Pls help asap I have 10 min left to answer :(
Answer:
A. 1 foot
Step-by-step explanation:
Answer:
your answer will be A.1 foot
Step-by-step explanation:
hope it helps you
have a great day
During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) ttt weeks after the beginning of spring. s=-0.25t+4s=−0.25t+4s, equals, minus, 0, point, 25, t, plus, 4 By how much does the ice sheet's thickness decrease every 666 weeks? meters
Answer: The ice sheet's thickness decrease every 6 weeks= 1.5 meters
Step-by-step explanation:
GIven: At the beginning of spring, the ice starts to melt. The variable sss models the ice sheet's thickness (in meters) t weeks after the beginning of spring. \(s=-0.25t+4\)
At t=0, \(s=4\)
So, Thickness of ice sheet at the beginning = 4 meters
Now at t= 6, we get
\(s=-0.25(6)+4=-1.5+4=2.5\)
Thickness of ice sheet after 6 weeks = 2.5 meters
Decrease in thickness = 4 meters - 2.5 meters = 1.5 meters
Hence, the ice sheet's thickness decrease every 6 weeks= 1.5 meters
Answer:
1.5
Step-by-step explanation:
The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to
triangle ABC?
(-3,1),(-3,5),(0,5)
(1,-2),(1,3),(4,3)
(6,-3),(1,-3),(6,1)
(1,3),(1,4),(5,1)
Answer:
Im pretty sure the answer is C because there is a side that is 3, a side that is 4, and a side that is 5
Step-by-step explanation:
Answer:
The answer is A or (-3,1),(-3,5),(0,5)
Step-by-step explanation:
I guessed on E d g e (2021) and got it right :)
n mathematics, the riemann hypothesis is a conjecture that the riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1/2.
The Riemann Hypothesis is a conjecture in mathematics that states that all non-trivial zeros of the Riemann zeta function lie on a specific line in the complex plane, known as the critical line.
This critical line is defined as the set of complex numbers with a real part equal to 1/2. Additionally, the hypothesis suggests that the only other zeros of the zeta function are the negative even integers.
The Riemann zeta function is an important mathematical function that arises in number theory and has connections to prime numbers. The Riemann Hypothesis has been a central problem in mathematics for over a century, and its truth or falsehood has significant implications for the distribution of prime numbers.
Despite extensive efforts, the hypothesis remains unproven, and its proof or disproof continues to be an active area of research.
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