Answer:
28000
Step-by-step explanation:
round up if number is greater than 5
Evaluate.
15÷(3+13)^2
Responses:
1 7/20
1 7/9
4 1/2
5 1/9
PLEASE HELP
Answer:
explain 15/256
witch is a better approximation of the square root of twenty 4.5 and 4.47 explain because i dont know?
Answer:
4.47
Step-by-step explanation:
What square roots are having √20 in between them?...
√16 = 4 √20 ≈ a number between 4 and 5 √25=5
║ ║ ║
16 is 4 away from 20 25 is 5 away form 20
so √20 is closer to √16 (=4)
so a better approximation is the one closer to 4
so is 4.47
Answer:
square root of 24.5 is 4.94974747, but a better approximation would be 5 and approximation of square root of 4.47 would be 2
Step-by-step explanation:
25 square rooted is 5, so square root of 24.5 is approximately the same. 4 squared is 2, which the square rooted of 4.47 would be approximately the same
Rewrite the equation of the line in slope intercept form.
4x−8y=32
Answer:
y=1/2x-4
Step-by-step explanation:
subtract 4x from the left side and the right side. It becomes:
-8y=-4x+32
divide -8 from both sides and it becomes:
y=1/2x-4
462 is what percent of 600?
Answer:
%
Answer:
77%
Step-by-step explanation:
462/600=x/100
46200=600x
46200/600=77
x=77
77%
PLS HELP ME
how do I find x and y? I don't really want the answer but I want to know what to solve in order to get x and y
Answer:
y = 21°
Step-by-step explanation:
both are parallel lines, and that means
16x - 23 = 10x + 1
16x - 10x = 23 + 1
6x = 24
x = 4
---------------------------
taking 16x - 23
16 (4) - 23 = 64 - 23 = 41
both angles value is = 41°
------------------------------------
62° + x = 180
x = 180 - 62 = 118°
----------------------------------
the sum of all the angles inside the triangle is equal to 180°
41° + 118° + y = 180°
y = 21°
Find the solution to the following system using substitution or elimination:
y= - 4x + 9
y = 3x - 5
A. (1,5)
B. (2,1)
C. (14, 37)
D. (1,-2)
Answer:D(2,1)
Step-by-step explanation:
Answer:
D. (2,1)
Step-by-step explanation:
Yes It is correct I took the test and got a 100%
Corinna has $72. She wants to buy a $281 plane ticket. She will save up her earnings from working at the museum where she earns $19 per hour. Which inequality shows the number of hours, n, Corinna must work so that she has a total of at least $281? A. n ≥ 11 B. n ≤ 10 C. n ≥ 10 D. n ≤ 11
Answer:the correct answer is b
Step-by-step explanation:
the sampling distribution of the population proportion is based on a binomial distribution. what condition must be met to use the normal approximation for the confidence interval?
The conditions that must be met to use the normal approximation for the confidence level are np>5 and n(1-p)>5
What is meant by Sampling Distribution?Sampling Distribution: A sampling distribution is a probability distribution of a statistic that is obtained through repeated sampling of a specific population. It describes a range of possible outcomes for a statistic, such as the mean or mode of some variable, of a population.
Given that the sampling distribution of the population proportion is based on a binomial distribution.
The conditions that must be met to use the normal approximation for the confidence level are np>5 and n(1-p)>5
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Joel and Kevin are each putting money in a savings account to buy a new bicycle. The amount, in dollars, in Joel’s savings account, x weeks after the start of the year, is modeled by function j. The amount of money in Kevin’s account, at the same time, is modeled by function k.
j(x) = 25 + 3x
k(x) = 15 + 2x
Which function correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year?
A.
(j − k)(x) = 40 + 5x
B.
(j − k)(x) = 40 + x
C.
(j − k)(x) = 10 + 5x
D.
(j − k)(x) = 10 + x
Given:
The amount of money in Joel’s account is:
\(j(x)=25+3x\)
The amount of money in Kevin’s account is:
\(k(x)=15+2x\)
To find:
The function that correctly represents how much more money, in dollars, is in Joel’s account than in Kevin’s account x weeks after the start of the year.
Solution:
We need to find the difference between the function j(x) and function k(x).
\(j(x)-k(x)=(25+3x)-(15+2x)\)
\((j-k)(x)=25+3x-15-2x\)
\((j-k)(x)=(25-15)+(3x-2x)\)
\((j-k)(x)=10+x\)
Therefore, the correct option is D.
What is the solution to this equation: -5x + 4 = 29 *
\(\text{Hi there! :)}\)
Answer:
\(\huge\boxed{x = -5}\)
\(-5x + 4 = 29\)
\(\text{Subtract 4 from both sides:}\)
\(-5x + 4 - 4 = 29 - 4\\\\-5x = 25\)
\(\text{Divide both sides by -5:}\)
\(-5x / (-5) = 25 / (-5)\\\\x = -5\)
Steps to solve:
-5x + 4 = 29
~Subtract 4 to both sides
-5x = 25
~Divide -5 to both sides
x = -5
Best of Luck!
Which function has a range of all real numbers greater than or equal to -4?
A. f(x) = x-4
B. f(x) = -4x
C. f(x) = (x+1)^2 - 4
D. f(x) = -|x-3|-4
Answer:
C. \(f(x)=(x+1)^2-4\)
Step-by-step explanation:
A. the graph is a straight line with slope 1. It goes up/down infinitely far so the range is all real numbers. Not A!
B. The graph is a straight line with slope -4, so, like the function in A, the range is all real numbers. Not B!
D. The graph is an absolute value function y = |x|, reflected over the x-axis, shifted right 3 units, then shifted down 4 units. So the graph starts witha "vee" shape opening up, becomes a vee opening down, then ultimately gets shifted down 4 units. The range is all real numbers less than or equal to -4.
See the attached graphs. image2 is the function in answer choice D.
Simplify: -1/8 + 2 1/4x + 5/8 - 3x
Answer:
1/2 - 3/4x
Step-by-step explanation:
1. Convert the mixed number to an improper fraction
2 1/4 = 9/4
2. Calculate the sum
-1/8 + 9/4x + 5/8 -3x = 1/2 + 9/4x -3x
3. Calculate the difference
-1/8 + 9/4x + 5/8 -3x = 1/2 - 3/4x
SOLUTION
1/2 - 3/4x
find the probability that someone who tests negative for opium use does not use opium. (enter the value of the probability in decimal format and round the final answer to three decimal places.)
To find the probability that someone who tests negative for opium use does not use opium, we need to use Bayes' theorem.
Let's assume that the prevalence of opium use in the population is 5%. This means that out of 100 people, 5 people use opium.
Now, let's say that the test for opium use has a sensitivity of 95% and a specificity of 98%. This means that out of 100 people who use opium, 95 will test positive, and out of 100 people who do not use opium, 98 will test negative.
Using Bayes' theorem, we can calculate the probability that someone who tests negative for opium use does not use opium as follows:
P(Not using opium | Negative test) = P(Negative test | Not using opium) * P(Not using opium) / P(Negative test)
P(Negative test | Not using opium) = 0.98 (specificity)
P(Not using opium) = 0.95 (complement of the prevalence)
P(Negative test) = P(Negative test | Not using opium) * P(Not using opium) + P(Negative test | Using opium) * P(Using opium)
P(Negative test | Using opium) = 1 - 0.95 = 0.05 (false negative rate)
P(Using opium) = 0.05 (prevalence)
P(Negative test) = 0.98 * 0.95 + 0.05 * 0.05 = 0.0935
P(Not using opium | Negative test) = 0.98 * 0.95 / 0.0935 ≈ 0.994
Therefore, the probability that someone who tests negative for opium use does not use opium is approximately 0.994, or 0.994 in decimal format rounded to three decimal places.
In this case, we want to find the probability of not using opium, given that someone tests negative.
Let's define the events as follows:
- A: Person does not use opium
- B: Person tests negative for opium
We want to find P(A|B), which is the probability of event A occurring given that event B has occurred. Using the conditional probability formula:
P(A|B) = P(A ∩ B) / P(B)
Unfortunately, without specific data on the probabilities of A, B, and A ∩ B (not using opium and testing negative), we cannot provide a numeric answer. However, if you have this information, you can simply plug the values into the formula and divide P(A ∩ B) by P(B) to obtain the probability in decimal format. Finally, round the result to three decimal places.
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8 and 3/4 into mixed number
Answer:
8 3/4 is a mixed number
Step-by-step explanation:
I don know how to explain
A dilation is applied to a triangle such that the sides of the image are 1.5 times the length of their corresponding sides in the original triangle.
Then the angles of the image must be 3 times the size of the corresponding angles in the original triangle.
Then the angles of the image must be 1.5 times the size of the corresponding angles in the original triangle.
Then the angles of the image must be congruent to the corresponding angles in the original triangle.
Then the angles of the image must be two-thirds the size of the corresponding angles in the original triangle.
Answer: Then the angles of the image must be 3 times the size of the corresponding angles in the original triangle.
in a class of 78 students, 41 are taking french, 22 are taking german and 9 are taking both french and german. how many students are not enrolled in either class? question 11 options: 6 24 54 15 33
Answer: 6 are not enrolled.
Step-by-step explanation:
78 in total so you add 41+22+9 and you get 72 so you do 78-72 and you get 6.
BRAINLIEST IF CORRECT
Answer:
T (1,-8)
S (1,-10)
U (9,-8)
R (10,-9)
-x=6+2y graph the equation
Step-by-step explanation:
-x=6+2y
2y=-x-6
y= -x/2 -3
Marta walked at 2.9 miles per hour for 0.52 hours. How far did she walk?
SAMPLING DISTRIBUTION & CONFIDENCE INTERVAL
1.1 Explain the relationship between sampling distribution and confidence interval.
1.2 A Normal population has mean μ = 10 and standard deviation σ = 3. Suppose a random sample of size n = 40 is selected. Calculate the probability that the sample mean is between 9.0 and 11.0?
1.3 If the true percentage of voters who support a Candidate is 40%, what is the probability that in a sample n = 200 voters the percentage who support the candidate will be between (a) 40% and 45%?, (b) more than 50%?
1.4 A sample of 10 circuits from a large normal population has a mean resistance of 2.2 ohms. If it is known that the population standard deviation is 0.35 ohms, determine the 95% confidence interval for the true mean resistance.
1.5 A random sample of size n = 25 yield a sample mean of 50 and standard deviation of 8. Calculate the 95% confidence interval for the population mean μ.
1.6 Calculate the sample size needed in order to estimate the true proportion of defective in a large population within 3% (95% confidence)? (Assume that the sample proportion is 0.12)
1.1 The relationship between sampling distribution and confidence interval is that the sampling distribution helps us understand the distribution of sample statistics (such as the sample mean or proportion) when repeatedly sampling from a population.
The confidence interval, on the other hand, provides a range of values within which we can be confident that the true population parameter lies based on the sample data.
In other words, the sampling distribution gives us information about the variability and distribution of sample statistics, while the confidence interval uses this information to estimate the range of likely values for the population parameter.
1.2 To calculate the probability that the sample mean is between 9.0 and 11.0, we need to standardize the values using the z-score formula and then look up the corresponding probabilities from the standard normal distribution.
First, calculate the z-scores:
z1 = (9.0 - 10) / (3 / √40) = -1.8257
z2 = (11.0 - 10) / (3 / √40) = 1.8257
Next, look up the probabilities associated with these z-scores using a standard normal distribution table or a calculator. The probability that the sample mean is between 9.0 and 11.0 can be calculated as the difference between the two probabilities:
P(9.0 < x < 11.0) = P(z1 < Z < z2)
1.3 (a) To calculate the probability that the percentage of voters who support the candidate is between 40% and 45% in a sample of 200 voters, we can use the sampling distribution of sample proportions. Assuming the sample proportion follows a normal distribution, we can standardize the values using the z-score formula and then calculate the corresponding probabilities.
First, calculate the z-scores:
z1 = (0.40 - 0.40) / √[(0.40 * (1 - 0.40)) / 200] = 0
z2 = (0.45 - 0.40) / √[(0.40 * (1 - 0.40)) / 200]
Next, look up the probabilities associated with these z-scores using a standard normal distribution table or a calculator. The probability that the percentage of voters who support the candidate is between 40% and 45% can be calculated as the difference between the two probabilities:
P(40% < p < 45%) = P(z1 < Z < z2)
(b) To calculate the probability that the percentage of voters who support the candidate is more than 50%, we can again use the sampling distribution of sample proportions. We standardize the value using the z-score formula and calculate the corresponding probability.
Calculate the z-score:
z = (0.50 - 0.40) / √[(0.40 * (1 - 0.40)) / 200]
Look up the probability associated with this z-score using a standard normal distribution table or a calculator. The probability that the percentage of voters who support the candidate is more than 50% can be calculated as:
P(p > 50%) = P(Z > z)
1.4 To determine the 95% confidence interval for the true mean resistance, we can use the formula:
Confidence Interval = sample mean ± (critical value * standard error)
First, calculate the standard error:
Standard Error = population standard deviation / √(sample size)
= 0.35 / √10
Next, find the critical value corresponding to a 95% confidence level from a t-distribution table with 9 degrees of freedom (n-1). The critical value for a 95% confidence level is approximately 2.
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3. the chattanooga choo choo provides services for 4,500 tourists in a 30-day (month) period. the next month they provide services for 6355 tourists in a 31-day (month) period. what is the daily percent of increase in tourists from one month to the next? round to the nearest tenth of a percent.
The daily percent of increase in tourists from one month to the next is approximately 5.4% which is obtained through mathematical operations.
To calculate the daily percent of increase, we need to determine the difference in the number of tourists between the two months and divide it by the number of days in the second month. Then, we express this difference as a percentage.
In the given scenario, the increase in tourists from the first month to the second month is 6355 - 4500 = 1855. The number of days in the second month is 31. Dividing the increase by the number of days gives us
1855 / 31 = 59.8387.
To express this increase as a percentage, we multiply the result by 100, yielding 5983.87%. Rounding this to the nearest tenth of a percent gives us approximately 5983.9%.
Finally, to find the daily percent of increase, we divide the percentage by the number of days in the second month: 5983.9% / 31 = 5.4%.
Therefore, the daily percent of increase in tourists from one month to the next is approximately 5.4%.
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a pair of dice are tossed. what is the probability that doubles are rolled, given that the sum on the two dice is less than 12? (round your answer to three decimal places.)
The probability of rolling doubles given that the sum on the two dice is less than 12 is 0.171.
We need to consider the favorable outcomes (rolling doubles) and the total possible outcomes (sum less than 12).
Favorable outcomes:
There are six possible doubles when rolling a pair of dice: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6).
Total possible outcomes:
The total number of outcomes when rolling a pair of dice is 6× 6 = 36. Since we want to consider only the cases where the sum is less than 12, we need to exclude the outcome (6, 6), as its sum is 12.
Therefore, the total possible outcomes are 36 - 1 = 35.
Now we can calculate the probability:
Probability = (Number of favorable outcomes) / (Number of total possible outcomes)
= 6 / 35
Probability = 0.171
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The box plot shows the calorie count in a few meals from a fast food chain. What is the least number of calories in a meal?
Answer:
220
Step-by-step explanation:
Got it right :)
Pls make me brainliest
Answer:
220
Step-by-step explanation:
Jerarquía
de operaciones de números racionales (enteros, decimales y fraccionarios)
que son
Step-by-step explanation:
Los enteros son números enteros. Las fracciones son partes por elemento entero. Los decimales son fracciones expresadas en décimas.
Let x denote the number of broken pencils in a randomly selected 50-count box from a local office supply store. The variable x has the
following probability distribution:
a)
0.82; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.82 from the
mean
b)
0.31; if we were to select many boxes of pencils randomly, we would expect about 0.31, on average, to contain broken pencils
c)
0.65; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.65 from the
mean
d)
0.52; if we were to select many boxes of pencils randomly, we would expect about 0.52 to have no broken pencils
e)0.13; if we were to select many boxes of pencils randomly, we would expect about 0.13, on average, to contain broken pencils
Answer:
0.82
Step-by-step explanation:
I literally took the test
Given that triangle ABC is a right triangle, select a set of possible side length measurements
Answer:
4,5,6 / 6,8,10 / 5,12,13 / ....
Step-by-step explanation:
Base on the pythagorean theorem, we have : a² + b² = c².
The first set : 4,5,6 - 4² + 5² = 6² (a possible set)
The second set : 6² + 8² = 10² (another possible set)
The last set : 5² + 12² = 13² (also possible)
There are a lot more sets, but I'll only list 3. Hope this helps :)
Answer:
a = 8, b = 15, and c = 17
Step-by-step explanation:
need help solving please
Answer: the answer is D
Both sides are equal to 5 radical 2
Step-by-step explanation:
Martina spent a total of $60 at the grocery store. Of this amount, she spent $57 on fruit. What percentage of the total did she spend on fruit?
Answer:
95%
Step-by-step explanation:
Marias bank account balance tripled and then lost 35.50 and is now 13 dollars.
Answer:
$145.5
Step-by-step explanation:
Simplify
x² - 9 / х^2 - 3x
Answer:
\(\frac{x+3}{x}\)
Step-by-step explanation:
Factorise numerator and denominator
x² - 9 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
x² - 9
= x² - 3² = (x - 3)(x + 3)
x² - 3x ← factor out x from each term
= x(x - 3)
Then
\(\frac{x^2-9}{x^2-3x}\)
= \(\frac{(x-3)(x+3)}{x(x-3)}\) ← cancel common factor (x - 3) on numerator/denominator
= \(\frac{x+3}{x}\)