Answer:
5400 divided by 72 = 75
Step-by-step explanation:
75 %
b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).
Answer:
ratio 80:250
Step-by-step explanation:
there will be less people than babies
Mitch ran 5/2 of a mile in 1/3 of an hour. How many hours will it take Mitch to run 1 mile?
It will take 15/2 hours for Mitch to run 1 mile. Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2.
Mitch ran 5/2 of a mile in 1/3 of an hour. To calculate how many hours it will take Mitch to run 1 mile, we need to use a ratio. The ratio is (5/2)/(1/3). To solve this, we need to multiply the numerator and denominator of the first fraction with the denominator of the second fraction, and then multiply the numerator and denominator of the second fraction with the denominator of the first fraction. So, the ratio becomes (5/2)*(3/1)/(1/3)*(2/1). Cancelling out the common factors from numerator and denominator, the ratio reduces to 15/2. This means that it will take 15/2 hours for Mitch to run 1 mile.
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Jordan is calculating the slope of the trend line in the scatterplot below. On a coordinate plane, a trend line has a positive slope. How can Jordan use the plot to check the reasonableness of his answer? His slope should be positive because the coordinates of all the plotted points are positive. His slope should be positive because the trend line is slanted up to the right. His slope should be negative because there are plotted points not on the line. His slope should be negative because the x-coordinate of each plotted point is less than the y-coordinate.
Answer:
His slope should be positive because the trend line is slanted up to the right.
Step-by-step explanation:
Assume the graph is like the one below.
The line is slanted up and to the right, so the slope is positive.
A is wrong. The points could all be positive and have a negative slope.
C is wrong. Most of the points are not on the line but the slope is still positive.
D is wrong. The slope does not depend on the values of x and y. It depends on the values of Δx and Δy.
Answer:
Step-by-step His slope should be positive because the trend line is slanted up to the right.
explanation:
We would like to estimate the proportion of uf students who owns a scooter to within 1% of the truth, with 95% confidence. We believe around 20% of students do. How many students should be sampled?.
We can estimate that (A) 3458 students should be sampled using proportions.
What are proportions?A proportion is an equation that sets two ratios at the same value. For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.So, we have the following confidence interval of proportions for a sample of n people who were surveyed with a probability of success of π and a level of confidence of.
π ± z√[π(1-π)/n]Where the z-score with a p-value of x is designated as 1+a/2.
The margin of error:
M = z√[π(1-π)/n]So, with respect to M = 0.01, the sample size is n.
Now solve:
M = z√[π(1-π)/n]0.01 = 1.96√[0.01(0.09)/n]0.01√n = 1.96√0.01(0.09)√n = [1.96√0.1(0.9)]/0.01(√n)² = ([1.96√0.1(0.9)]/0.01)²n = 3457.4Rounding off: 3458
Therefore, we can estimate that (A) 3458 students should be sampled using proportions.
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The complete question is given below:
We would like to estimate the proportion of UF students who own a scooter to within 1% of the truth, with 95% confidence. We believe around 10% of students do. How many students should be sampled? Group of answer choices
A. 3458
B. 34575
C. 38416
D. 3842
In the study of logic, p q is to be understood in the exclusive sense, whereby if "p" and "q" are both true, the compound claim pvq is, as a whole claim, true. True False
The statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.
This principle is known as the exclusive disjunction, which means that the truth value of p v q is only true if either p or q is true, but not both.
In other words, if both p and q are true, then the statement p v q is still considered true because only one of them needs to be true for the whole statement to be true. This concept is essential in the study of logic as it helps to clarify the relationship between different statements and propositions.
Furthermore, this principle is often used in mathematics, computer science, and other fields that rely heavily on logical reasoning. It enables us to make accurate predictions and draw valid conclusions from a set of given premises or statements.
In conclusion, the exclusive disjunction is a crucial concept in the study of logic that helps us understand the truth value of compound claims. Therefore, the statement "In the study of logic, p q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim pvq is, as a whole claim, true" is true.
In the study of logic, the statement "p ∨ q is to be understood in the exclusive sense, whereby if 'p' and 'q' are both true, the compound claim p ∨ q is, as a whole claim, true" is actually false. This is because the given description refers to the "inclusive" sense of the disjunction (OR) operator, rather than the exclusive sense.
In logic, there are two types of disjunctions: inclusive and exclusive. The inclusive disjunction, represented by p ∨ q, is true when at least one of p or q is true. This means that if both p and q are true, the compound claim p ∨ q is also true, which matches the given description in the question.
On the other hand, the exclusive disjunction, represented by p ⊕ q or p XOR q, is true only when either p or q is true, but not when both are true. If p and q are both true, then the compound claim p ⊕ q is false.
So, the statement in the question actually describes the inclusive disjunction, not the exclusive disjunction, and is therefore false.
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The equation y= ax? describes a parabola. If the value of a is positive, which
way does the parabola open?
Answer:
upwards or to the right
Step-by-step explanation:
If the a value is positive, then the parabola opens upward or to the right, and if the a value's negative, it opens down or to the left. Hope this helps!
(b) If you put $9050 in the ATM each day, what percent of the days in a month should
you expect to run out of cash?
Answer:
23.33%
Step-by-step explanation:
The computation of the percentage of days in a month for running out of cash is shown below:
Percentage of running out of Cash is
= (Relevant Occurrence of an event ÷ Total number of events) × 100%
where,
The Relevant occurrence of an event is 7 (105,94,101,98,94,96,92)
And, the total number of events is 30 i.e. 30 days
So, the percentage is
= 7 ÷ 30 × 100
= 23.33%
Write as an addition problem: 22 - (-8)
Step-by-step explanation:
22+8
I think this ans may help you
What is an angle that is adjacent to <4
Considering the figure, The angle adjacent to < 4 are two
to the left is < 3 = 90 degreesto the right is < 5 What are adjacent angles?When two angles have a similar vertex and side, they are referred to as adjacent angles.
The vertex of an angle is the point at which the rays that make up its sides come to an end.
When adjacent angles have a shared vertex and side, they can be a complementary angle or supplementary angle.
In the figure, < 4 shares both vertex and side with angles 3 and 5
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What is the greatest common factor of 40, 8, and 24?
a continuous random variable x has a uniform distribution between 5 and 25 (inclusive), then p(x = 15) = 0.05. a. true b. false
Answer:
Step-by-step explanation:
The probability of a continuous random variable taking any specific value is always zero, so the statement p(x = 15) = 0.05 is false.
what is the fewest number of tiems must you roll two (fait, six sided) dice until the probability of getting two or more double 4s rises above 20%
We need to roll the dice at least 260 times to have a probability greater than 20% of getting two or more double 4s.
To solve this problem, we can use the concept of the geometric distribution, which models the number of trials needed to get a success in a sequence of independent Bernoulli trials, where each trial has the same probability of success.
In this case, the success is rolling two or more double 4s, and the probability of success in each trial is:
P(success) = P(rolling double 4s) + P(rolling triple 4s) + P(rolling quadruple 4s)
= (1/6) × (1/6) + (1/6) × (1/6) × (1/6) + (1/6) × (1/6) × (1/6) × (1/6)
= 1/216 + 1/1296 + 1/7776
= 0.004630
Therefore, the probability of failure in each trial is:
P(failure) = 1 - P(success) = 0.995370
Let X be the number of trials needed to get two or more double 4s. Then X follows a geometric distribution with parameter p = 0.004630.
The probability of getting two or more double 4s in the first X trials is:
P(X ≥ 2) = 1 - P(X = 1) = 1 - p
The probability of getting two or more double 4s in the first 2X trials is:
P(X ≥ 2) + P(X ≥ 3) = (1 - p) + (1 - p) × p
The probability of getting two or more double 4s in the first 3X trials is:
P(X ≥ 2) + P(X ≥ 3) + P(X ≥ 4) = (1 - p) + (1 - p) × p + (1 - p) × p²
And so on...
We want to find the smallest value of X such that P(X ≥ 2) + P(X ≥ 3) + P(X ≥ 4) + ... exceeds 0.2.
That is:
(1 - p) + (1 - p) × p + (1 - p) × p² + ... > 0.2
Using the formula for the sum of an infinite geometric series, we can simplify this expression to:
1 / (1 - (1 - p)) - 1 > 0.2
1 / p - 1 > 0.2
1 / p > 1.2
X > 1 / p × 1.2
Plugging in the value of p, we get:
X > 1 / 0.004630 × 1.2
X > 259.7
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Wendy and two friends went out to eat and decided they would split the bill. The total bill was 35.40. They also decided to leave a 20% tip. What is the price that each person paid?
Answer:
14.16
Step-by-step explanation:
we first calculate the total amount of money paid, which is 35.40 plus 20%, we use this calculation:
35.40×1.20 = 42.48
now, this amount is split to 3 people, so:
42.48/3 = 14.16
and that is our answer
Find three different ways to write the number 437000 as a multiple of a power of 10
Answer:
4370*10^2
437*10^3
43.7*10^4
Please Help! Ratio question!
Answer:
10
Step-by-step explanation:
divide 1800 by 20 and 1800 by 18 and find the difference
A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=1032 and x=557 who said "yes". Use a 99% confidence level.
A) Find the best point estimate of the population P.
B) Identify the value of margin of error E. ________ (Round to four decimal places as needed)
C) Construct a confidence interval. ___ < p <.
A) The best point estimate of the population P is 0.5399
B) The value of margin of error E.≈ 0.0267 (Round to four decimal places as needed)
C) A confidence interval is 0.5132 < p < 0.5666
A) The best point estimate of the population proportion (P) is calculated by dividing the number of respondents who said "yes" (x) by the total number of respondents (n).
In this case,
P = x/n = 557/1032 = 0.5399 (rounded to four decimal places).
B) The margin of error (E) is calculated using the formula: E = z * sqrt(P*(1-P)/n), where z represents the z-score associated with the desired confidence level. For a 99% confidence level, the z-score is approximately 2.576.
Plugging in the values,
E = 2.576 * sqrt(0.5399*(1-0.5399)/1032)
≈ 0.0267 (rounded to four decimal places).
C) To construct a confidence interval, we add and subtract the margin of error (E) from the point estimate (P). Thus, the 99% confidence interval is approximately 0.5399 - 0.0267 < p < 0.5399 + 0.0267. Simplifying, the confidence interval is 0.5132 < p < 0.5666 (rounded to four decimal places).
In summary, the best point estimate of the population proportion is 0.5399, the margin of error is approximately 0.0267, and the 99% confidence interval is 0.5132 < p < 0.5666.
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Could someone please help me with this? thank you so so so so much :D
Answer:
I have no clue
Step-by-step explanation:
-4(3) + 15
7+3(0.5)
40-(2.5)
Answer:
a. 3 b. 8.5 c. 37.5
Step-by-step explanation:
Answer:
27
8.5
+37.5
----------
73
Step-by-step explanation:
how do I make 10.74 in two different ways.
Answer:
Step-by-step explanation:
I hope this is what you need
you could do 5.74+5 or you could do 10+ .74
or you could do 5.70+5.4
Which of the following criteria are used when deciding upon the
inclusion of a variable? Check all that apply.
Group of answer choices
A-Theory
B-t-statistic
C-Bias
D-Adjusted R^2
the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.
When deciding upon the inclusion of a variable, the following criteria are commonly used:
A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.
B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.
C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.
D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.
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For questions 5-9 list all the polygons shown that fit each description.If there could be no such polygon, explain why
Answer:
5. B, C and E
6. C
7. None
8. A and D
9. F and G
Step-by-step explanation:
See attachment for complete question
5. B, C and E
B, C and E are not parallelogram because they do not have 2 pairs of parallel sides
B and E are trapeziums while C is just a quadrilateral.
6. C
In (5) above, we established that B and E are trapeziums while C is not. This implies that only C is a quadrilateral.
7. None
A square is a parallelogram. So, it is not possible for a shape to be a square and not be a parallelogram.
8. A and D
A is a rhombus. D is a square and will be treated as a rhombus because all sides are equal.
9. F and G
These shapes have 2 pairs of parallel lines but all 4 sides are not equal; only the opposite sides are equal.
what measrment is equal to 6 kilograms
Answer:
6000000 mg
13.2277 lb
6000 g
13.2276 pounds
Step-by-step explanation:
Hopefully I am right but those are all I can find that are equal to 6 kilograms.
Given the function h(x) = x^2 + 10x + 32, determine the average rate of change
of the function over the interval 3 < x < 11.
================================================
Explanation:
Plug in x = 3 to get
h(x) = x^2 + 10x + 32
h(3) = 3^2 + 10*3 + 32
h(3) = 71
Repeat for x = 11
h(x) = x^2 + 10x + 32
h(11) = 11^2 + 10*11 + 32
h(11) = 263
Now use the average rate of change formula
m = average rate of change
m = ( h(b) - h(a) )/(b - a)
m = ( h(11) - h(3) )/(11 - 3)
m = (263 - 71)/(11 - 3)
m = 192/8
m = 24
Sara wonders what percentage of her students answered at least half of the quiz questions incorrectly.
The relative cumulative frequency of students who earned a score of 21 or higher on the quiz is __________ %.
68
18
32
16
Mayerlin wants to ride her bicycle 56 miles this week. She has already ridden 8 miles. If she rides for 6 more days, what is the average number of miles she would have to ride each day to meet her goal?
Answer:
If in the next 6 days she rides an average of 8 miles per day, she will meet her goal.
Step-by-step explanation:
What is the average number of miles she would have to ride each day to meet her goal?
We know that Mayerlin wants to ride her bicycle for 56 miles this week, and she already has ridden 8 miles, so the distance left is:
56mi - 8mi = 48mi
Now, to find the average distance that she needs to ride each day in order to meet her goal, we need to take the quotient between the distance left and the number days that she has left (6 days), then we will get:
D = 48mi/6 = 8mi
This means that if in the next 6 days she rides an average of 8 miles per day, she will meet her goal.
Two-thirds of a number is equal to negative one-fifth. What is the number
answers: -7 1/2, -3/10, -2/15, -3 1/3
Answer: -7 1/2
Step-by-step explanation:
The required number would be -3/10.which is the correct answer would be option (B).
What is the number system?A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
We have been given that two-thirds of a number is equal to a negative one-fifth.
Let the number would be x
According to the given question, the required solution would be as:
⇒ (2/3)x = -1/5
Divided by (2/3) both sides of the above equation,
⇒ (2/3)x/ (2/3) = (-1/5)/(2/3)
⇒ x = (-1/5)/(2/3)
Reciprocal the term in the numerator,
⇒ x = (-1/5) × (3/2)
Apply the multiplication operation, and we get
⇒ x = -3/10
Therefore, the required number would be -3/10.
Hence, the correct answer would be option (B).
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Find 192.3% of 195. Round to the nearest hundredth.
Answer:
374.99
Step-by-step explanation:
192.3% of 195 is 374.985 rounding to the nearest hundreth gives you 374.99 and an estimate would be 375.
Sara goes to the mall every 6th day. Andy goes to the same shopping mall every 7th day.How many times will they meet in the mall in the month of December and January if we start counting from 1st December.
Answer: Only once.
Step-by-step explanation:
Given: Sara goes to the mall every 6th day. Andy goes to the same shopping mall every 7th day.
Then, from starting the first day , the number of day when they meet = L.C.M of (6,7)
Since 7 is a prime number , so the least common multiple of 6 and 7 = 6 x 7 = 42
So, every 42th day they will meet.
Both December and January have 31 days.
Starting from 1st December , they will meet on 11th January because 42 = 31 +11 , where 31 days are of December and next 11 days of January.
next time they will meet 42 days after Also 20 + 22 , where 20 remaining days of January and 22 of February, so next time they will meet on 22nd February.
So, they will meet only once at 11th January in the month of December and January .
Sara and Andy would meet once if counting is started from 1st of December
The number of days in December and January are:
\(\mathbf{December = 31}\)
\(\mathbf{January = 31}\)
So, the total number of days in both months.
\(\mathbf{Total = January + December}\)
So, we have:
\(\mathbf{Total = 31 + 31}\)
\(\mathbf{Total = 62}\)
Next, we list out the multiples of 6 and 7, up to 62.
The list is as follows:
\(\mathbf{6: 6, 12, 24, 30, 36, 42, 48, 54, 60}\)
\(\mathbf{7: 7, 14 ,21, 28, 35, 42, 49, 56}\)
The common term between both multiples is
\(\mathbf{Common = 42}\)
This means that they would meet 42 days since the beginning of December.
Hence, they would meet just once if counting is started from 1st of December
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99 times 44 take 99 add 19 what does it equal
Answer:
The answer is 4,276
I hope it helps
Find the sum of the finite arithmetic sequence.
Sum of the first 80 positive odd integers
Answer:
6400
Step-by-step explanation:
We have 1 + 3 + 5 + ... + 155 + 157 + 159.
We can use Gauss's strategy.
Since we are adding 80 numbers, there are 40 pairs. Each pair adds up to 1 + 159 = 160. (Notice that 3 + 157, 5 + 155 = 160)
Thus, because there are 40 pairs and each pair adds up to 160, we have 160 * 40 = 6400.
I hope this helps!