Answer:
$25.23
Step-by-step explanation:
Which set contains at least one irrational number?
Answer: answer set C
The square root of 195 is irrational. Even if there is a divisor of 2 after we square the number, the number still remains irrational.
The rest of the choices have rational numbers. There is an 8.22 repeating, but the repeating decimal indicates that the number is still rational. Negative numbers are rational integers.
how many 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher
13 litres of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher.
Concept: In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items. It is an operation used for equal grouping and equal sharing in math.
Quantity of 1 glass of water= 0.8 liters
Quantity to be filled completely = 10.4 liters
No . of 0.8-liter glasses of waters does it take to fill up a 10.4-liters pitcher = 10.8/0.4 = 13
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A triangle has angles of 124°, 28° and 28°.
Using the given angle measures, how many triangles can be formed (one unique, more than one, or none)? Explain your answer.
Answer:
1 unique
Step-by-step explanation:
Given the angles of the triangle in the question, only one unique triangle can be formed.
This is because, if we look at the angles given, we can see that we have two of the angles equal.
This will give rise to the formation of an isosceles triangle which is a triangle in which two of the sides are equal in length
The equal angles made it in such a way that this is the only type of triangle that can be formed from the angles given
Let P be some predicate. Check the box next to each scenario in which ∀n ∈ N, P(n) must be true.
a) For every natural number k > 0 , if P(i) holds for every natural number i < k, then P(k) holds.
b) P(0) holds and for every natural number k > 0, if P(i) does not hold, then there is some natural number i < k such that P(i) does not hold.
c) For every natural number k, if P(i) holds for every natural number i < k, then P(k) holds.
d) For every natural number k, if P(k) does not hold, then there is a smaller natural number i < k such that P(i) does not hold.
Answer:
A
Step-by-step explanation:
a) ✔️
This is the principle of mathematical induction. If P holds for the base case k=1 and we can show that if it holds for any arbitrary k (e.g. k=n) then it must also hold for the next value (e.g. k=n+1), then we have shown it holds for all natural numbers.
b) ❌
There is no guarantee that P holds for all natural numbers from the statement alone. It only guarantees that for any k where P does not hold, there exists a smaller number i where P does not hold.
c) ❌
This is the principle of weak mathematical induction. It only shows that if P holds for a given k and for all smaller values i then it must hold for k+1. It does not guarantee that P holds for all natural numbers.
d) ❌
This statement is the negation of the principle of mathematical induction. It is known as the "strong induction" principle, which assumes that if P does not hold for k, then there exists a smaller i where P does not hold. However, this principle is not sufficient to prove that P holds for all natural numbers k.
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mathstatistics and probabilitystatistics and probability questions and answerschristmas lights are often designed with a series circuit. this means that when one light burns out, the entire string of lights goes black. suppose the lights are designed so that the probability a bulb will last 2 years is 0.995. the success or failure of a bulb is independent of the success or failure of the other bulbs. a) what is the probability that
Question: Christmas Lights Are Often Designed With A Series Circuit. This Means That When One Light Burns Out, The Entire String Of Lights Goes Black. Suppose The Lights Are Designed So That The Probability A Bulb Will Last 2 Years Is 0.995. The Success Or Failure Of A Bulb Is Independent Of The Success Or Failure Of The Other Bulbs. A) What Is The Probability That
Christmas lights are often designed with a series circuit. This means that when one light burns out, the entire string of lights goes black. Suppose the lights are designed so that the probability a bulb will last 2 years is 0.995. The success or failure of a bulb is independent of the success or failure of the other bulbs.
A) What is the probability that in a string of 100 lights all 100 will last 2 years?
B) What is the probability at least one bulb will burn out in 2 years?
A) The probability that all 100 lights will last 2 years is 0.9048.
B) The probability that at least one bulb will burn out in 2 years is 0.0952.
What is the probability?A) To find the probability that all 100 lights will last 2 years, we assume that the success or failure of each bulb is independent.
The probability of a single bulb lasting 2 years is 0.995, so the probability of all 100 bulbs lasting 2 years is:
P(all 100 bulbs last 2 years) is (0.995)¹⁰⁰ ≈ 0.9048
B) The probability that at least one bulb will burn out in 2 years is determined using the complement rule.
P(at least one bulb burns out) = 1 - P(no bulbs burn out)
Since the probability of a single bulb lasting 2 years is 0.995, the probability of a single bulb burning out in 2 years is 1 - 0.995 = 0.005.
The probability of at least one bulb burning out in 2 years is:
P(at least one bulb burns out) = 1 - P(no bulbs burn out)
P(at least one bulb burns out) = 1 - 0.9048
P(at least one bulb burns out) ≈ 0.0952
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On a certain hot summer's day, 415 people used the public swimming pool. The
daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled
$694.50. How many children and how many adults swam at the public pool that day?
Answer:
Step-by-step explanation:
a jet airliner travels 1680 miles in 3 hours with a tail wind. the return trip, into the wind, takes 3.5 hours. write a system of equations whose solution is the ground speed of the airplane and the wind speed.
A system of equation is 1680mi3hr = p−w×600×2hr -p + w for a jet airliner travels 1680 miles in 3hours with a tail wind.
Let p be the speed of the jet airliner
and w be the speed of the tail wind
It takes the plane 3 hours to go 1680 miles when a jet airliner travels with a tail wind and and 3.5 hours to go 1680 miles against the wind.. So, using system of equations we get
1680mi3hr = p−w×600×2hr = p + w
Solving for the left sides we get:
200mph = p - w
300mph = p + w
Now solve for one variable in either equation, we use
200mph = p - w
Add w to both sides:
p = 200mph + w
Using the value of x, we can found the value of w using system of equations.
300mph = (200mph + w) + w
Combine like terms:
300mph = 200mph + 2w
Subtract 200mph on both sides:
100mph = 2w
On dividing by 2:
50mph = w
So the speed of the tail wind is 50mph.
Therefore, 200mph = p - 50mph
Add 50mph on both sides:
250mph = p
Hence, speed of jet airliner is 250mph.
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Lines x and y are parallel lines cut by a transversal. If m 24 = 82°, which of the
following is true?
+
21 22
24 / 23
X
Y
25 26
28/ 27
A) m_8 = 82
B) m 25 = 82°
a manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 433 gram setting. it is believed that the machine is underfilling or overfilling the bags. a 301 bag sample had a mean of 431 grams with a variance of 324 . assume the population is normally distributed. a level of significance of 0.02 will be used. specify the type of hypothesis test.
The type of hypothesis test to be used in this scenario is a one-sample t-test with a two-tailed alternative hypothesis.
The problem is asking to conduct a hypothesis test to determine whether the bag filling machine works correctly at the 433 gram setting.
The hypothesis test would involve a null hypothesis (H0) and an alternative hypothesis (Ha).
The null hypothesis is typically the hypothesis of "no effect" or "no difference" and is denoted as H0. In this case, the null hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is equal to 433 grams. Therefore, the null hypothesis would be:
H0: μ = 433
The alternative hypothesis (Ha) is the hypothesis that we want to test, and it is denoted as Ha. In this case, the alternative hypothesis would be that the mean weight of potato chips in the bags filled by the machine at the 433 gram setting is not equal to 433 grams. Therefore, the alternative hypothesis would be:
Ha: μ ≠ 433
To conduct the hypothesis test, we would need to calculate the test statistic and compare it to the critical value. Since the sample size is large (n=301) and the population variance is unknown, we would use a t-test with a level of significance of 0.02.
If the calculated t-value falls outside the critical t-value, we would reject the null hypothesis and conclude that the bag filling machine does not work correctly at the 433 gram setting.
If the calculated t-value falls within the critical t-value, we would fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the bag filling machine does not work correctly at the 433 gram setting.
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8.1 geometry big ideas
Answer:
24
Step-by-step explanation:
16/12 is 1.333333333
20/15 is 1.333333333
18x1.333333333 is 24
a math test is worth 100 points and has 30 problems. each problem is worth either 3 or 4 points. how many 4-point problems are there?
If a math test is worth 100 points and has 30 problems and each problem is worth either 3 or 4 points, then there are 10 4 point problems
Total number of questions = 30
Number of 3 point questions = x
Number of 4 point questions = y
The first equation will be
x + y = 30
x = 30-y
Total score of the test = 100 points
Then the second equation will be
3x + 4y = 100
Here we have to use the substitution method, substitute the value of x in the equation
3(30-y) + 4y = 100
90 - 3y +4y = 100
y = 100 - 90
y = 10
Hence, if a math test is worth 100 points and has 30 problems and each problem is worth either 3 or 4 points, then there are 10 4 point problems
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How do you put 5x - 9 = y and 2x = 7y in matrix form?
To put the equations 5x - 9 = y and 2x = 7y in matrix form, we can write them as a system of equations by rearranging the terms. The matrix form can be represented as:
| 5 -1 | | x | | -9 |
| 2 -7 | * | y | = | 0 |
In matrix form, a system of linear equations can be represented as AX = B, where A is the coefficient matrix, X is the variable matrix, and B is the constant matrix.
For the equation 5x - 9 = y, we can rearrange it as 5x - y = 9. This equation corresponds to the row [5 -1]X = [-9] in the matrix form.
For the equation 2x = 7y, we can rearrange it as 2x - 7y = 0. This equation corresponds to the row [2 -7]X = [0] in the matrix form.
Combining these two equations, we can write the system of equations in matrix form as:
| 5 -1 | | x | | -9 |
| 2 -7 | * | y | = | 0 |
This matrix form allows us to solve the system of equations using various methods, such as Gaussian elimination or matrix inversion.
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How high did abby climb above her original starting position? 8 feet 15 feet 18 feet 22 feet
Abby climbed above her original starting position of a height of 18 feet .
According to the graph Abby's climb begins at 4 feet in 0 minute and ends at 0 feet in 22 minutes. However, Abby reaches her highest point at 22 feet in 8 minutes .
Starting point of Abby's climb = 4 feet in 0 minute
End point of Abby's climb = 0 feet in 22 minutes
Highest point of Abby's climb = 22 feet in 8 minutes
Abby climbed above her original starting position = highest point - starting point
Abby climbed above her original starting position = 22 feet - 4 feet
Abby climbed above her original starting position = 18 feet .
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Graph the line
y=-4x+2
‼️will make brainliest‼️
Answer:It would be -4 across and go two up
Step-by-step explanation:
Answer:
It would be -4 across and go two up
Step-by-step explanation:
If m DGE=52 and FGE is a right angle, what is the measure of DGF
Answer:
DGF=38
Step-by-step explanation:
FGE is the total angle that adds up to 90 degree. We know that it is bisected into 2 separate angles where we know DGE is 52 but not DGF.
We use the following information above to make the equation x + 52 = 90 (x represent the unknown degree)
Then you just solve normally where you subtract 53 from 90 and get the solution of x=38.
Chris swims every day at the gym. She can swim 2 miles in an hour. Let y equal the number of miles and x equal the total time in hours. Which equation shows how many miles Chris can swim in x hours?A. y = x+1B. Y= 2x + 1C. y = 2xD. Y= X-2
Solution:
Given:
The rate at which Chris swims is 2 mph.
This represents the slope (m).
Using the slope-intercept form of the linear equation;
y = mx + b
where, b = 0, m = 2
Hence;
\(\begin{gathered} y=2x+0 \\ y=2x \end{gathered}\)Therefore, the correct answer is OPTION C.
Which mathematical symbol would best fill in the blank to compare the two real number
the margin of error of a confidence interval is the error from biased sampling methods. t or f
False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.
What are statistics and their various forms?Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.
What are the two primary statistical methods?Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.
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Mr. Adams divides 223 markers equally among the 26 students in his class. He puts the extra markers in a box. What is the least number of markers he puts in the box?
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Question 2 of 14
Which part of this graph shows a nonlinear relationship?
A company uses samples of size 9 to construct an X-bar chart to control the mean of the diameter of a drive shaft. On a certain day, a new employee takes a sample of size 4 and plot this sample average on the X-bar chart that is constructed with samples of size 9. Assuming the process is in control, what is the probability that this sample average falls outside the 3- sigma control limits of the X-bar chart?
Group of answer choices
0.00%
0.27%
1.24%
4.55%
13.36%
18.35%
31.73%
The probability that the sample average falls outside the 3-sigma control limits of the X-bar chart is 0.27%.
The 3-sigma control limits are calculated using the standard deviation of the process. If the process is in control, then 99.73% of the sample averages will fall within the 3-sigma control limits. The remaining 0.27% of the sample averages will fall outside the control limits.
In this case, the sample size is 4, which is smaller than the sample size of 9 that was used to construct the control chart. This means that the control limits for the sample of size 4 will be narrower than the control limits for the sample of size 9.
As a result, the probability that the sample average falls outside the control limits will be higher for the sample of size 4.
Specifically, the probability that the sample average falls outside the 3-sigma control limits for a sample of size 4 is 0.27%. This means that there is a 0.27% chance that the new employee will observe a sample average that falls outside the control limits, even if the process is in control.
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when a 99% confidence interval is calculated instead of a 95% confidence interval, with n being the same, the margin of error will be
The margin of error will be larger for a 99% confidence interval than for a 95% confidence interval, assuming the same sample size and level of variability in the data.
Explain your answer further indetail?The margin of error is the range of values above and below the point estimate within which the true population parameter is likely to fall.
A higher level of confidence requires a larger margin of error. This is because as the level of confidence increases, the range of values that contains the true population parameter becomes wider.
For example, a 95% confidence interval has a margin of error of plus or minus two standard errors of the point estimate.
Increasing the confidence level to 99% would require a wider range of values, and therefore a larger margin of error, such as plus or minus three standard errors of the point estimate.
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help me please , I don’t understand this very well , I’m trying to practice :/
Answer:
answer is 16
Step-by-step explanation:
x+17+x+19+8=x+34
2x+44=x+34
x+44=34
x=-10
-10+17+-10+19= HI
=16
The question is in the image. The final answer is also in the other image.
We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.
So, length of the safety rail is given by:
\(l=\frac{1}{4}\cdot2\pi r\)Where:
r = 10 yd
pi = 3.14
Substitute, we have:
\(l=\frac{1}{4}\cdot2(3.14)(10)=\frac{1}{4}\cdot62.8=15.7\text{ yd}\)The Answer is 15.7 yd
Next, area of the deck is given by:
\(A=\frac{1}{4}\pi r^2\)Substitute the values:
\(A=\frac{1}{4}(3.14)(10)^2=\frac{1}{4}(3.14)(100)=\frac{314}{4}=78.5\text{ yd}^2\)The answer is 78.5 yd^2
Help please I’ll mark brainliest
Answer:
- \(\frac{1}{2}\)
Step-by-step explanation:
One cubic down and 2 cubics to the right
What is the value of a in the equation 3a+b = 54, when b = 9?
O 15
O 18
18 k
O 21
O 27
Answer:
15
Step-by-step explanation:
a statistics student made the following grades on the first 7 tests: 76, 80, 91, 94, 78, 85. 90. what is her median score for the whole semester?(chapter 3) a. 85 b. 90 c. 91 d. 94
The median score for the whole semester is 85. Thus, option a is correct.
It is given to us that -
The grades on first 7 tests of a statistics student are -
76, 80, 91, 94, 78, 85. 90
We have to find out the median score for the whole semester.
To find out the median, we have to first arrange the grades in ascending order from lowest to highest. Thus, arranging them in ascending order, we have -
76, 78, 80, 85, 90, 91, 94
Now, from this arrangement from lowest to highest, the median can be found out as the middle number in the given order which is equal to 85.
Therefore, the median score for the whole semester is 85. Thus, option a is correct.
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please help meYour primary job's gross income is $3,500.00/month, and your second job's realized income is $368.49/month. Deductions are FICA (7.65%), federal tax withholding (10.75%), and state tax withholding (8.35%). How much is the income on your monthly budget?$_______ /month
EXPLANATION
To determine how much is the income, we need to apply the following calculations:
(3500 + 368.49) - ((3500 + 368.49) x (0.0765 + 0.1075 + 0.0835)) = Income
Adding numbers:
(3868.49) - ((3868.49)*(0.2675)
Multiplying numbers:
= (3868.49) - 1034.82
Subtracting numbers:
= 2833.67
In conclusion, the income was $2833.67
Answer:
its $2,932.24
Step-by-step explanation:
Mr. Kramer's patio is in the shape of a trapezoid. The trapezoid and its dimensions are shown below. What is the area of the patio? A 144 square feet B 360 square feet C 315 square feet D 252 square feet
Answer:
C 315
Step-by-step explanation:
(12 + 30) * 15/2 = 315
The area of the trapezoidal patio is 252 ft².
What is a trapezoid?A trapezoid is a polygon that has only one pair of parallel sides. These parallel sides are also called parallel bases of trapezoid. The other two sides of trapezoids are non-parallel and called legs of trapezoids.
Given that, Mr. Kramer's patio is in the shape of a trapezoid, we need to find its area,
So, the area of the trapezoid is = sum of the parallel sides × height/2
= 12 + 30 × 12/2
= 42 × 6
= 252
Hence the area of the trapezoidal patio is 252 ft².
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Work out m and c for the line: y = 10 x
Answer:
The slope is 10 and the y intercept 0
Step-by-step explanation:
m is 10 and c is 0. The reason why is because m is the slope and c is the y intercept.
Answer:
m = 10
c = 0
Step-by-step explanation:
Assuming that your form of slope-intercept form is y = mx + c (I have mine y = mx + b), m would be the slope, which is equal to 10 and since there is no y-intercept (It crosses at 0, 0), c/b would equal to 0.