Answers
Answer:
[tex]2[/tex]
Step-by-step explanation:
Rate of change = [tex]\frac{change}{change} \frac{y}{x}[/tex]
[tex]\frac{change}{change} \frac{y}{x} = slope[/tex]
[tex]slope = \frac{y2-y1}{x2-x1}[/tex]
[tex]y2 = 5, y1 =3, x2=1, x1 =0[/tex]
(left of the table is x, right of the table is y)
[tex]\frac{5-3}{1-0}[/tex] [tex]=slope[/tex]
[tex]\frac{2}{1}[/tex] [tex]=slope[/tex]
[tex]2 = slope=rate[/tex] [tex]of[/tex] [tex]change[/tex]
Related Questions
Please help with precal problem?
The population of the world was 5.7 billion in 1995 and increases according to the exponential growth model where the growth rate is assumed to be 2%. When will the population double?
P(t) = P₁ (1+r)t
A) 2012
B) 2027
C) 2029
D) 2030
E) None of these
Answers
Answer:
D) 2030
Step-by-step explanation:
You want to know when the population will double from its value in 1995 if it increases at 2% per year.
MultiplierThe multiplier for t years is given as (1 +r)^t. We want to find t such that this value is 2 when r = 0.02.
2 = 1.02^t
log(2) = t·log(1.02)
t = log(2)/log(1.02) ≈ 35.003
The year the population doubles will be ...
1995 + 35.003 = 2030.003
The population will double in year 2030, choice D.
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what is the probability that one or more of the children is a carrier of the recessive allele? hint: the probability that one or more of the children is a carrier is the same as the sum of all probabilities minus the probability that none of the children is a carrier.
Answers
The probability is [tex]\frac{17}{27}[/tex] that one or more of the children is a carrier is the same as the sum of all probabilities minus the probability that none of the children is a carrier.
Two parents who are each known to be carriers of an autosomal recessive allele have four children. None of the children has the recessive condition.
Parents : Aa × Aa
Gametes: A a
A AA Aa
a Aa aa (affected)
A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%Probability of normal carriers = [tex]\frac{2}{3}[/tex]
Probability of normal non carriers = [tex]\frac{1}{3}[/tex]
(Because 3 individuals are normal)
Probability that one or more children are carriers =
(One is carrier × 3 are non carriers) + (2 carriers × 2 non carriers) + (3 carriers × 1 non carrier) + (4 carriers)
= ([tex]\frac{2}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex] × [tex]\frac{1}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{1}{3}[/tex]) + ([tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × 1/3) + ([tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex] × [tex]\frac{2}{3}[/tex])
[tex]=\frac{2}{81}+\frac{4}{81}+\frac{8}{81}+\frac{16}{81} =\frac{10}{27}[/tex]
[tex]=1-\frac{10}{27} \\[/tex]
[tex]=\frac{27-10}{27} =\frac{17}{27}[/tex]
Therefore, the probability is [tex]\frac{17}{27}[/tex]
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A ray is 23 feet below sea level, what is its elevation?
Answers
The elevation of the ray is -23 feet below the sea level
How to determine the elevatin of the rayFrom the question, we have the following parameters that can be used in our computation:
Elevation = 23 feet below the sea level
The elevation of a location is its height above a certain reference point, typically sea level.
If a location is 23 feet below sea level, its elevation is -23 feet.
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The density, d, of an object can be found by using the formula d=[tex]\frac{m}{v}[/tex], where m is the mass of the object and v is its volume. What is the density of an object that has a mass of 73,430 kilograms and a volume of 7 [tex]m^{3}[/tex]
Answers
The density of an object is 10490kg/m^3.
How to find the density?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.
Density = (Total amount available)/(total space which contains that amount)
Given;
The mass of object= 73,430 kilograms
The volume of object= 7m^3
Now
D=mass/volume
D=73430/7
D=10490
Therefore, the density will be 10490kg/m^3.
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Find the volume of a room 14 feet by 16 feet with an 8-foot ceiling.
Answers
Answer:
Below
Step-by-step explanation:
Volume = L x W x H = 14 ft x 16 ft x 8 ft = 1792 ft^3
a triangle in which two angles, called base angles have equal measure, is called an isoceles traingle. in a certain isoceles triangle, the sum of the measures of the base angles is 88 degrees less than the measure of the remaining angle. find the measure of each angle
Answers
In a certain isoceles triangle, the sum of the measures of the base angles is 88 degrees less than the measure of the remaining angle. Then the measure of each angle is 44° and 92°.
Determine the measure of each angle
These are the specified parameters:
The sum of the measures of the base angles is 88° less than the measure of the remaining angle.
Large pedestal angle
a + a = 88
2a = 88
a = 88/2
a = 44°
Peak angle
a + a + b = 180
88 + b = 180
b = 180 - 88
b = 92°
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The figure below is a square. Find the length of side x to the nearest tenth.
Answers
Answer:
3.7
Step-by-step explanation:
The length of the diagonal of a square is [tex]\sqrt{2}[/tex] times the side length.
[tex]\implies x=\sqrt{7}\sqrt{2} \approx 3.7[/tex]
Eleven boat full bee line up in a row. Each bee, after the firt brag that more than twice the amount a many grain of pollen a the bee in front od them. The firt bee collect a hundred gram of pollen how many grain did the lat bee collect?
Answers
The 11th bee collected 2047 grams of pollen.
Bee Pollen Collection CalculationThis can be determined by using a simple arithmetic progression. If the first bee collected 100 grams of pollen, the second bee collected more than twice that amount, or 1002 = 200 grams.
Then, the third bee collected more than twice the amount collected by the second bee, or 2002 = 400 grams. This pattern can be continued, and the 11th bee would have collected 1002^(10) = 1001024 = 104800 grams, or 104.8 kg of pollen.
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With out uing dividing power of 10 to write three diviion expreion that are each eqvilent to 35. 78 / 6
Answers
Three division expressions that are equivalent to 35.78 ÷ 6 without using the dividing power of 10 are 357.8 ÷ 60, 17.89 ÷ 3, and 14.908 ÷ 2.5.
Three division expressions that are equivalent to 35.78 ÷ 6 without using the dividing power of 10 can be written as follows:
357.8 ÷ 60
In this expression, we multiply both 35.78 and 6 by a factor of 10 so that the decimal is removed, making the division much easier. The expression becomes 357.8 ÷ 60, which can be calculated easily. The answer can be written back in decimal form by dividing 357.8 by 60 and then multiplying by 0.1 (which is the reciprocal of 10).
17.89 ÷ 3
In this expression, we divide both 35.78 and 6 by 2, which gives us 17.89 and 3. The expression becomes 17.89 ÷ 3, which can be calculated easily. The answer can be written back in decimal form by dividing 17.79 by 3 and then multiplying by 2.
14.908 ÷ 2.5
In this expression, we divide both 35.78 and 6 by 2.4, which gives us 14.908 and 2.5. The expression becomes 14.908 ÷ 2.5, which can be calculated easily. The answer can be written back in decimal form by dividing 14.908 by 2.5 and then multiplying by 2.4.
In each of these three expressions, the result is equivalent to 35.78 ÷ 6 without using the dividing power of 10. The dividing power of 10 is a helpful tool in mathematics, but it is not always necessary to use it in order to solve a division problem.
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to estimate the mean score of those who took the medical college admissions test on your campus you obtain an srs of students. how large of an srs must you take
Answers
The size of a Simple Random Sample (SRS) for estimating the mean score of medical college admissions test takers on your campus depends on the desired level of precision and the variability of the population.
The sample size required to estimate the mean score of a population depends on the desired level of precision, the variability of the population, and the level of confidence desired. In general, a larger sample size is needed to estimate the mean of a population with high variability or when a high level of precision is desired.
On the other hand, a smaller sample size is sufficient if the population is relatively homogeneous or if a lower level of precision is acceptable. It's important to note that a sample size that is too small may result in an imprecise estimate, while a sample size that is too large may be unnecessarily wasteful. A statistician can help determine the appropriate sample size for a given situation.
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A fair coin is tossed 10 times, which of the following outcomes are contradict to the law of large numbers?A)FIVE HEADS ARE OBSERVEDB) NO TAILS ARE OBSERVEDC) SIX HEADS ARE OBSERVEDD) TWO TAILS ARE OBSERVEDE) NONE OF THE ABOVE
Answers
The outcome that contradict the law of large numbers is option E) NONE OF THE ABOVE.
The law of large numbers states that as the number of trials in a random experiment increases, the average of the results will approach the expected value.
A) FIVE HEADS ARE OBSERVED: This outcome is not contradictory to the law of large numbers as it is possible to have five heads in ten tosses of a fair coin, and as the number of trials increases, the average of heads will approach the expected value of 0.5.
B) NO TAILS ARE OBSERVED: This outcome is not contradictory to the law of large numbers as it is possible to have no tails in ten tosses of a fair coin, and as the number of trials increases, the average of tails will approach the expected value of 0.5.
C) SIX HEADS ARE OBSERVED: This outcome is not contradictory to the law of large numbers as it is possible to have six heads in ten tosses of a fair coin, and as the number of trials increases, the average of heads will approach the expected value of 0.5.
D) TWO TAILS ARE OBSERVED: This outcome is not contradictory to the law of large numbers as it is possible to have two tails in ten tosses of a fair coin, and as the number of trials increases, the average of tails will approach the expected value of 0.5.
E) NONE OF THE ABOVE: None of the above outcomes are contradictory to the law of large numbers as each of them is possible in ten tosses of a fair coin and as the number of trials increases, the average of heads and tails will approach the expected value of 0.5.
Therefore, the answer is E) NONE OF THE ABOVE.
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Sam saved $35 buying the suit at a 20% off sale what was the regular price of the suit
Answers
Same bought it for $140. 20% of 175 is 140. And 175-35 is also 140. So 175 is the answer
Use the dropdowns to complete the following statement.
The measure of an _____ angle of a triangle is _____ the _____ of its two ____ angles.
First dropdown: corresponding, interior, exterior, alternate
Second dropdown: equal to, less than greater than
Third dropdown: sum, quotient, difference, product
Fourth dropdown: adjacent, supplementary, remote interior, exterior
Answers
Explanation is edge
A new appliance salesperson sold an average of $12,000 per day for the first 3 days they worked.
On the next 4 days they worked, they sold an average of $9,000 per day. How much did they sell on average per day over the entire 7 days?
Kelly works two jobs. She usually works at a retail store for 7 hours during the day and is paid $12 per hour by the store. In the evening she works at a restaurant as a manager for 5 hours and is paid $20 per hour. How much does she make on average per hour for the day?
7. Henry worked for 10 consecutive days, earning an average wage of $120 per day at his dog walking business. During the first 5 days, Henry averaged $100 per day and his average earned for the next 4 days was $130 per day. How much did he earn on the last day?
Marcus has a slugging average of .484 and has had 18 singles, 33 doubles, 2 triples, and 54 homeruns. How many at-bats has Marcus had?
It is Tyler's first season playing baseball with the Diamondbacks. He has had 383 at-bats. So far, he has 74 singles, 13 doubles, 11 triples and 4 homeruns. What is Tyler's current Slugging Percentage? What is Tyler's Batting Average?
Answers
a. To calculate the average daily sales over the course of seven days, multiply the total sales over the course of seven days by seven.
a. How much did they sell on average per day over the entire 7 days?The salesperson generated $36,000 in revenue in the first three days by selling an average of $12,000 per day.
The following four days saw sales of $9,000 on average, for a total of $36,000 ($4 days * $9,000/day). Sales for the seven days added up to $36,000 + $36,000 = $72,000. Thus, throughout the course of the entire seven days, the average daily sales were $72,000 / seven days, or $10,285.7.
b. How much does she make on average per hour for the day?b. We must aggregate the total earnings from both jobs and divide it by the total number of hours worked in order to determine the average hourly wage. Kelly puts in a total of 12 hours of work by working 5 hours at a restaurant and 7 hours at a retail store. She is paid $12 per hour at the retail location and $20 per hour at the restaurant, so her total pay for seven hours is $104. The daily average hourly wage is $104 divided by 12 hours, or $8.67.
c. How much did he earn on the last day?c. We must first calculate Henry's total earnings for the first 10 days, then deduct those earnings from the first 9 days to arrive at his earnings on the final day. The total income for the first 10 days was $1,200 (10 days * $120/day). Five days at a rate of $100 each brought in a total of $500. The next four days' earnings came to $520 (4 days * $130/day). For the first nine days, the total earnings were $500 + $520, or $1,020. Therefore, Henry's final day earnings were $180 ($1,200 – $1,020).
d. How many at-bats has Marcus had?d. The number of singles, doubles, triples, and home runs must be added up in order to determine the total number of at-bats. Marcus has 107 hits overall, which include 18 singles, 33 doubles, 2 triples, and 54 home homers. He has now played in 107 at-bats.
e.. What is Tyler's current Slugging Percentage? What is Tyler's Batting Average?e. The total bases (one base for a single, two bases for a double, three bases for a triple, and four bases for a home run) must be added together and divided by the total at-bats in order to determine the slugging percentage. Tyler has 235 total bases, which are calculated as follows: 74 singles * 1 base/single + 13 doubles * 2 bases/double + 11 triples * 3 bases/triple + 4 home runs * 4 bases/home run. His Slugging Percentage therefore equals 235 / 383 at-bats, or 0.616. Divide the total number of hits by the total number of at-bats to obtain the batting average. 383 at-bats x 74 hits Equals 0.193 for Tyler.
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A restaurant sells meals that range from $7.25 to $12.10. A kids meal that costs $2.35 is added to the menu.
Select whether the value of the statistic will increase, decrease, or cannnot be determined (if it would likely remain the same, select cannot be determined).
Median:
Mean:
Standard Deviation:
Answers
The value of the statistic will
Median: Cannot be determined.
Mean: Increase.
Standard Deviation: Cannot be determined.
What are the mean, median, and standard deviation?
Standard deviation (σ) is defined as the square root of the variance. It measures the variability about the mean of a data set: the closer to the mean, the lower the standard deviation.
Median: Cannot be determined.
The median is the middle value in a set of data and can only change if the new value added to the menu is in the middle of the existing range.
If the new value is added to the beginning or end of the range, the median will remain unchanged.
Mean: Increase.
The mean is calculated by summing all the values and dividing by the number of values.
Adding a new value to the menu will increase the total sum and therefore increase the mean.
Standard Deviation: Cannot be determined.
The standard deviation measures the amount of variation or dispersion from the mean.
Adding a new value to the menu may increase or decrease the standard deviation, but it depends on the specific distribution of values in the existing menu and how the new value fits into that distribution.
Without more information, it is not possible to determine whether the standard deviation will increase, decrease, or remain unchanged.
Hence, the value of the statistic will
Median: Cannot be determined.
Mean: Increase.
Standard Deviation: Cannot be determined.
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There are already 1,600 gallons of water in a swimming pool. If water is filling the pool at a rate of 30 gallons per minute, which expression indicates the amount of water, in gallons, in the swimming pool after m minutes?
Answers
1600 + 30m is the expression indicates the amount of water, in gallons, in the swimming pool after m minutes.
What is Expression?An expression is combination of variables, numbers and operators.
Given that there are already 1,600 gallons of water in a swimming pool.
water is filling the pool at a rate of 30 gallons per minute,
We need to find the expression indicates the amount of water, in gallons, in the swimming pool after m minutes
Let m = number of minutes
The expression will be:
1600 + (30 × m)
1600 + 30m
Hence, 1600 + 30m is the expression indicates the amount of water, in gallons, in the swimming pool after m minutes.
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Which statement best describes the values of a and b in the regression model?
In the power regression model, a represents the initial value and b represents the growth factor.
In the power regression model, a represents the growth factor and b represents the initial value.
In the exponential regression model, a represents the initial value and b represents the growth factor.
In the exponential regression model, a represents the growth factor and b represents the initial value.
Answers
Answer:
this question to this question is 2
(complete solution), can someone help me here please, i need ur help asap thank you!
Formula
Step 1: n=1
Step 2: n=k
Step 3: n= k+ 1
Answers
The sum of the arithmetic series 5, 9, 13, 17, ..., (4n + 1) will be n(2n + 3) which is true.
What is the sum of an arithmetic sequence?Let a₁ be the first term, L be the last term, n be the number of terms, and d be a common difference.
Then the sum of the arithmetic sequence will be
Sₙ = (n / 2)[a₁ + L]
From the sequence, the first term is 5 and the last term is (4n + 1). Then the sum of the sequence is given as,
Sₙ = (n/2)(5 + 4n + 1)
Sₙ = (n/2)(4n + 6)
Sₙ = n (2n + 3)
The sum of the arithmetic series 5, 9, 13, 17, ..., (4n + 1) will be n(2n + 3) which is true.
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find the measure of each angle indicated
Answers
The measure of each angles are 80 , 35 and 122 degrees.
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
Given in the figure,
in triangle which contains angles 70 and 30.
let another angle be x .
70 + 30 + x = 180
x +100 = 180
x = 180 - 100
x = 80
And 80 , 65 and another angle be y in another triangle lies on same line
so
80 + 65 + y = 180
y = 180 - 145
y = 35
let another angle be z .
so
z + y + 23 = 180
z = 180 - 58
z = 122
Therefore, The measure of each angles are 80 , 35 and 122 degrees.
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Can you help solve the question attached
Answers
a) The best estimate for the probability of landing on black is,
= 11/50
b) This is the best estimate because it involves the largest number of trials.
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words how many times that incident is happening in any given time interval.
Given:
Gemma spun a spinner a total of 200 times and worked out the estimated probability of it landing on black after different numbers of spins.
Her results are shown in the table below.
a) The best estimate for the probability of landing on black is,
= 11/50
b) This is the best estimate because it involves the largest number of trials.
Therefore, all the required values are given above.
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Expand & simplify 4 ( p + 6 ) + 3 ( p − 2 )
Answers
Expanding and simplifying the expression:
4 ( p + 6 ) + 3 ( p − 2 ) = 4p + 24 + 3p - 6
= 7p + 18
So, the simplified expression is 7p + 18.
Answer:
[tex]4(p + 6) + 3(p - 2) \\ \longrightarrow \: 4p + 24 + 3p - 6 \\ solving \: the \: like \: terms \: together \: we \: get \\ \longrightarrow \:\boxed{ 7p + 18}[/tex]
hope helpful! :)
The um of age if two boy i 18. Three year ago one boy wa wa tree time older then the other. Find their preent age
Answers
The age of first boy is 15 and age of second boy is 3.
Now, According to the question:
The x and y-axis are two important lines of the coordinate plane. The x-axis is a horizontal number line and the y-axis is a vertical number line. These two axes intersect perpendicularly to form the coordinate plane. The x-axis is also called the abscissa and the y-axis is called the ordinate.
"Information available from the question"
The sum of ages of two boys are 18.
Let x be the first boy
and, y be the second boy.
x +y = 18
(x +3) = 3(y+3)
Calculate the product or quotient
x + 3 = 3y + 9
x = 3y + 9 - 3
x = 3y + 6
Now,
3y + 6 + y = 18
Calculate the sum or difference:
4y + 6 = 18
4y = 18 - 6
4y = 12
y = 12/4
y = 3
So, For the value of x:
x + 3 = 18
x = 18 - 3
x = 15
Hence, The age of first boy is 15 and age of second boy is 3.
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Marriage According to a Pew Research survey, about 27% of American adults are pessimistic about the future of marriage and the family. This is based on a sample, but assume that this percentage is correct for all American adults.
a) Using a binomial model, what is the probability that, in a sample of 20 American adults, 25% or fewer of the people in the sample are pessimistic about the future of marriage and family?
b) Now use a Normal model to compute that probability. How does this compare to your answer from part a?
c) Using a Binomial model, what is the probability that, in a sample of 700 American adults, 25% or fewer of the people of the people in the sample are pessimistic about the future of marriage and family?
d) Now use a Normal model to compute that probability. How does this compare to your answer from part c?
e) What do these answers tell you about the importance of checking that np and nq are both at least 10?
Answers
By using the binominal model, the people in the sample are pessimistic about the future of marriage and family is 0.039.
A Binomial model is a mathematical model used to calculate the probability of a specific number of successful outcomes in a set number of trials
The normal model is used to compute the probability of a certain outcome occurring when the population size is much larger.
With a sample of 700 American adults, the probability of 25% or fewer of the people in the sample being pessimistic about the future of marriage and the family would be 0.039.
These answers demonstrate the importance of verifying that np and nq are both at least 10.
If either one is below 10, the binomial model would not be an accurate representation of the probability.
On the other hand, the normal model does not have this limitation and can be used to calculate the probability even when np or nq is below 10.
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Shelley’s resolution is to bike 192 miles each week. If she rides with a average speed of 9.6 mph and plans to ride an equal amount of time each day, about how many hours a day should she plan to ride?
Answers
Answer:(192/9.6)÷7=20/7
Step-by-step explanation:
If the measures of Arc RB=67.4 and the measures of Arc FU =38.1 what is m/_FWU? Picture isn’t drawn to scale, round your answer to the nearest hundredth
Answers
The measurement of angle FWU is given as follows:
< FWU = 14.65º.
How to obtain the measure of the arc?The measure is obtained using the two secant theorem, which states that the angle measure is half the difference between the angle measures of the two arcs.
The angle measures for each arc are given as follows:
Arc RB = 67.4.Arc FU = 38.1.The difference between these two measures is obtained as follows:
67.4 - 38.1 = 29.3.
The angle measure is half of this, hence it is obtained as follows:
< FWU = 0.5 x 29.3
< FWU = 14.65º.
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Alexa has $4.75 worth of dimes and quarters. She has 2 more dimes than quarters. Determine the number of dimes and the number of quarters that Alexa has.
Answers
Answer: a number alexa has a number
Step-by-step explanation:
Triangle A"B"C" is formed using the translation (x+2, y + 0) and the dilation by a scale factor of
AB?
A"B"
O
A
AB
.
-
AB
A"B"
AB
2
A"B"
2
112
from the origin. Which equation explains the relationship between AB and A”B”?
Answers
Answer:
The equation that explains the relationship between AB and A”B” is AB = 2A”B”. This equation is based on the transformation of a triangle ABC into a triangle A”B”C” using the translation (x+2, y+0) and the dilation by a scale factor of 2 from the origin. The translation does not affect the length of AB, but the dilation doubles it, so AB = 2A”B”.
suppose a linear system has more variables than equations. is it possible that it has no solutions? only one solution? infinitely many solutions? explain your answer.
Answers
A linear system that has more variables than equations has infinitely many solutions.
A linear equation in n variables has an (n - 1)-dimensional solution space, meaning that there is a subspace in which all solutions to the equation lie.
If a linear system has more variables than equations, then it is likely that there is more than one subspace that satisfies all the equations in the system, resulting in infinitely many solutions.
It is not possible for the system to have no solutions or only one solution because the system is underdetermined, meaning that there are not enough equations to fully determine the values of all the variables.
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what does 6 1/5 i wonder what it is
Answers
Answer:
6 1/5= 31/5
Step-by-step explanation:
Hi can someone check my work for me! im unsure of my answers, please tell me if get any wrong! PLEASE HELP ASAPPP
Answers
Answer:
Step-by-step explanation:
all of them are correct!!!!! Great Job!!!!!
