Answer:
The value of m is 3 because (5^4)^3 = 244140625 and 5^12 = 244140625 also, this means they are both equal to each other. Another way of getting the correct answer is just seeing what times 4 will get you 12, as you can see
3 x 4 = 12.
So yea the answer is M = 3.
Step-by-step explanation:
regarding frequency tables and frequency distributions, which one of the following is true?
Regarding frequency tables and frequency distributions both show the number of observations in each class.
What is frequency distribution?To make the information easier to understand, frequency distributions are visual displays that organise and present frequency counts.
Absolute frequencies as well as relative frequencies, such as percentages or ratios, can be displayed in frequency distributions.
periodic tables
A frequency table is an easy way to show how frequently a certain value or feature occurs.
It is possible to display the frequency distribution of data in a table or graph. Frequency tables, histograms, and bar charts are a few popular ways to display frequency distributions.
According to the definition we see that both show the number of observations in each class.
Hence, option B is correct.
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The correct question is:
Please help
Please help please
dbhzhxgushshebnxjxjkxdhxhdh bdbdhxjdnbdbdb
Kelly is a waitress and her average tip rate is 18%. After taking a sample of her tips from a week, she thinks her tip rate is actually higher. The data below is the tip rate for 15 randomly chosen checks (the numbers represent percentage). Assume that tip rates are normally distributed.
18.5 18.2 20 21.3 17.9 17.9 18.1 17.5 20 18
a) Express the null and alternative hypotheses in symbolic form for this claim.
H0 : Select an answer
Ha: Select an answer
b) What is the test statistic. Round to 2 decimals.
c) What is the p-value. Round to 4 decimals p-value =
Answer:
Step-by-step explanation:
From the given information:
the null and alternative hypotheses in symbolic form for this claim can be computed as:
\(H_o:\mu = 18 \\ \\ H_a : \mu > 18\)
Mean = \(\dfrac{18.5+18.2+20+21.3+17.9+17.9+18.1+17.5+20+18}{10}\)
Mean = 18.74
Standard deviation \(\sigma = \sqrt{\dfrac{\sum(x_i - \mu)^2}{N}}\)
Standard deviation \(\sigma = \sqrt{\dfrac{(18.5 - 18.74)^2+(18.2 - 18.74)^2+(20 - 18.74)^2+...+(18 - 18.74)^2}{10}}\)
Standard deviation \(\sigma\) = 1.18
The test statistics can be computed as follows:
\(Z= \dfrac{X- \mu}{\dfrac{\sigma}{\sqrt{n}}}\)
\(Z= \dfrac{18.6- 18}{\dfrac{1.18}{\sqrt{10}}}\)
\(Z= \dfrac{0.6}{\dfrac{1.18}{3.162}}\)
Z = 1.6078
Z = 1.61
Degree of freedom = n -1
Degree of freedom = 10 -1
Degree of freedom = 9
Using t - calculator at Z = 1.6078 and df = 9
The P - value = 0.0712
a die used in a certain board game has eight faces, of which 3 are red, 3 are yellow, and 2 are blue. each face is equally likely to land faceup when the die is tossed. in the game, a player tosses the die until blue lands faceup, and the number of tosses before blue lands faceup is counted. for example, a player who tosses the sequence shown in the following table has tossed the die 3 times before blue lands faceup. toss number 1 2 3 4 face color yellow yellow red blue what is the probability that a player will toss the die at least 2 times before blue lands faceup?
The probability that a player will toss the die at least 2 times before blue lands faceup is 15/28.
Geometric distribution:
The geometric distribution, which is a probability distribution that models the number of trials needed to achieve the first success in a sequence of Bernoulli trials, where each trial has a constant probability of success.
In this case, the Bernoulli trial is whether the die lands on blue, and the geometric distribution models the number of tosses needed to achieve the first blue face.
To find the probability that a player will toss the die at least 2 times before blue lands faceup, we need to find the probability of getting either a red or a yellow face on the first toss, and then either a blue face or another red/yellow face on the second toss.
The probability of getting a red or yellow face on the first toss is:
P(Red or Yellow) = 3/8 + 3/8 = 6/8 = 3/4
If the first toss is a red or yellow face,
then the probability of getting a blue face on the second toss is:
P(Blue on 2nd toss | Red or Yellow on 1st toss) = 2/7
So, the probability of getting blue on the second toss given the first toss is red or yellow is 2/7.
Therefore, the probability of not getting a blue face on the second toss given the first toss is red or yellow is 1-2/7=5/7.
Putting it all together, the probability of tossing the die at least 2 times before blue lands faceup is:
P(at least 2 tosses)
= P(Red or Yellow on 1st toss) × P(Not Blue on 2nd toss given Red or Yellow on 1st toss)
= (3/4) × (5/7)
= 15/28
Therefore,
The probability that a player will toss the die at least 2 times before blue lands faceup is 15/28.
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what is the image of A(2,1) after reflecting it across x=4 and the. across the x-axis
Answer:
(6,-1)
Step-by-step explanation:
(2, 1) is the first point,
(6, 1) is the point after it is reflected over x = 4,
(6, -1) is the point after it is reflected over the x-axis.
We always evaluate just the specific result obtained in the experiment. True or False.
False. We do not always evaluate just the specific result obtained in an experiment.
In scientific experiments, we do not just evaluate the specific result obtained in the experiment. Instead, we evaluate the entire experimental design, including the methods used, the sample size, and the statistical analysis.
For example, suppose a researcher conducts an experiment to test a new drug's effectiveness in treating a particular disease. If the result of the experiment shows that the drug is effective, the researcher cannot simply conclude that the drug works based on this one result. Instead, the researcher must evaluate the experimental design to ensure that the result is reliable and valid.
This evaluation includes examining the study's methods to determine if they are appropriate and if the sample size is large enough to produce meaningful results. It also involves statistical analysis to assess the strength of the relationship between the treatment and the outcome and to determine if the result is statistically significant.
Therefore, evaluating just the specific result obtained in an experiment is not sufficient. We must also consider the experimental design, methods used, sample size, and statistical analysis to draw valid and reliable conclusions from the experiment.
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Apples cost $1.10 per pound. Darius bought x pounds of apples for a total cost of $2.75.
Order from least to greatest
30.
4,0.91,8
50
Answer:
0.91
30.4
850
Step-by-step explanation:
The function y = -16t2 + 444 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second. 5. 27 seconds 10. 54 seconds 0. 25 seconds 7. 45 seconds
The time taken by the stone to reach the ground is option A 5.27 seconds.
Given,
The function; y = -16t² + 444
y is the height in feet
t is the time in seconds
A stone from y height is dropped from the edge of a vertical cliff.
We have to find the time taken by the stone to reach the ground;
Here,
y = -16t² + 444
y = 0
Then,
0 = -16t² + 444
16t² = 444
t² = 444/16
t² = 27.75
t = √27.75
t = 5.27 seconds
That is,
The time taken by the stone to reach the ground is option A 5.27 seconds.
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The area of a rectangular field is 6942 m
If the width of the field is 78 m, what is its length?
m².
Length of the field:
The required length of the rectangle is 89 m.
Given that,
The area of a rectangular field is 6942 m. If the width of the field is 78 m, what is its length is to be determined.
Perimeter is the measure of the figure on its circumference.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.
The area of the rectangle = length * width
6942 = length * 78
length = 89 m
Thus, the required length of the rectangle is 89 m.
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Use the formula to find the volume of the figure. Show your work.
Hello !
Answer:
\(\boxed{\sf V{cone} \approx 2408.55 m^3}\)
Step-by-step explanation:
To find the volume of a cone with the radius of its base and its height, we will apply the following formula:
\( \sf V{cone} = \dfrac{\pi \times r^2 \times h}{3} \)
Where r is the radius of its base and h is its height.
Given:
r = 10 mh = 23 mLet's substitute our values into the formula:
\(\sf V{cone} = \dfrac{\pi (10)^2(23)}{3} = \dfrac{2300\pi}{3} \ \ \\\boxed{\sf V{cone} \approx 2408.55 m^3}\)
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1. There are two tables for sale at Fendley's Fine Furniture . One table measures 2.5 feet by 3.6 feet . The other table measures 5 feet by 7.2 feet Are they proportional ?
please show work
= Test: Exam#2 Find i (the rate per period) and n (the number of periods) for the following annuity. Quarterly deposits of $700 are made for 6 years into an annuity that pays 6% compounded quarterly.
Thus, the rate per period (i) is 1.5%, and the number of periods (n) is 24 periods (6 years x 4 quarters per year).
Given: Quarterly deposits of $700 are made for 6 years into an annuity that pays 6% compounded quarterly.
To find: The rate per period (i) and the number of periods (n).
To find the rate per period (i) and the number of periods (n), we use the formula for the future value of an annuity.FV = PMT [((1 + i)^n - 1) / i]
Here, PMT = $700,
i = rate per period,
n = number of periods, and
FV = ?
We know that $700 is deposited quarterly, so in a year, the number of deposits made will be 4.
Thus, the total number of periods (n) will be 4 times the number of years (6).
Therefore,
n = 4 × 6
= 24
The rate per period (i) can be calculated by substituting the given values in the formula for the future value of an annuity.
FV = PMT [((1 + i)^n - 1) / i]
FV = 700 [((1 + i)^24 - 1) / i]
If the annuity pays 6% compounded quarterly, then the rate per period will be 6% / 4 = 1.5%.
Therefore, the equation becomes:
FV = 700 [((1 + 0.015)^24 - 1) / 0.015]
= 700 [((1.015)^24 - 1) / 0.015]
= 700 [(1.4322 - 1) / 0.015]
= 700 [28.81]
= 20167.19
Rate per period (i) is 1.5%, and the number of periods (n) is 24.
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Your job is to randomly select integrated circuits, and then test them in sequence until you find the first failure. let be the total number of tests, and assume that all tests are independent with probability of failure. Identify the type of random variable and its parameter(s).
The type of random variable in this scenario is a geometric random variable. Its parameter is the probability of failure for each integrated circuit being tested.
The type of random variable you're dealing with in this scenario, where you are testing integrated circuits in sequence until you find the first failure, is called a Geometric Random Variable. This type of random variable represents the number of trials needed for the first success (or failure, in this case) in a series of independent Bernoulli trials with the same probability of failure. The parameter for a Geometric Random Variable is the probability of failure, denoted as p. In summary, the type of random variable in this problem is a Geometric Random Variable, and its parameter is the probability of failure (p).
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The average score of students in the first group is 39, the second group is 32, and the third group is 43. If the numbers of students in the three groups are 24, 26, and 27, respectively, find the average score of all students.
The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.
The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.
To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.
Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929
Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.
This means that the overall performance of all the students is slightly below the average of the scores in each group.
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What is the probability that the restaurant is located in a city with a population over 100,000, given that it is located in the southwestern United States
The probability that the restaurant is located in a city with a population over 100,000, given that it is located in the southwestern United States, is approximately 0.267 or 26.7%.
To find the probability that the restaurant is located in a city with a population over 100,000, given that it is located in the southwestern United States, we need to consider the percentage distribution provided in the table.
From the table, we can see that the probability of selecting a restaurant from the southwestern United States (SW) is 3%. Within the southwestern region, the probability of selecting a restaurant in a city with a population over 100,000 is given as 8%.
To calculate the conditional probability, we use the formula:
Probability (A|B) = Probability (A ∩ B) / Probability (B),
where A is the event of selecting a restaurant in a city with a population over 100,000 and B is the event of selecting a restaurant from the southwestern United States.
Applying the formula, we have:
Probability (A|B) = (Probability of selecting a restaurant in the southwestern United States with a population over 100,000) / (Probability of selecting a restaurant from the southwestern United States).
Probability (A|B) = 8% / 3%.
Simplifying, we find:
Probability (A|B) ≈ 0.267.
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Note the full question is 1) A fast-food restaurant chain with 700 outlets in the United States has recorded the geographic location of its restaurants in the accompanying table of percentages. One restaurant is to be chosen at random from the 700 to test market a new chicken sandwich. Region <10,000 Population of City 10,000 - 100,000 >100,000 NE 6% 15% 20% SE 6% 1% 4% SW 3% 12% 8% NW 0% 5% 20% What is the probability that the restaurant is located in a city with a population over 100,000, given that it is located in the southwestern United States?
A plane travels at a speed of 690 feet per second. How many feet will passengers travel on the plane in one minute?
Answer:
41,400 ft per second
Step-by-step explanation:
1 minute is 60 seconds.
x = ft per second
Ratio:
\(\frac{690}{1} =\frac{x}{60} \\\\x=41400\)
Aida bought a flower rug for her bedroom, as shown below.
Note: Figure is not drawn to scale
If a = 12 in, which of the following is closest to the area of the rug?
A.
298.08 in2
B.
257.04 in2
C.
334.08 in2
D.
370.08 in2
(4x-1)²-(4x-3) x (16x²+3)
Answer:
-64x^3 +64x^2-20x+10
Step-by-step explanation:
simplify, distribute
(btw, the little arrow sign means a exponent)
Which inequality is represented by this graph?
Answer: C
Step-by-step explanation:
We can say that the equaiton of the line is -1/6x+1, considering that is in each answer choice. Than main part is the shading and inequality. If you look closely at the graph, the shading line is a dashed/dotted line. This means the shaded part does not equal the actual line. We can eliminate B and D.
Now, we are left with A and C. A is saying y< while C is saying y>. C is the correct answer because if you look at the shading, it it above the line, which is greater than. Therefore, the answer is C.
The sticker price is the price you must pay for the vehicle
True or False
it's true...........
Answer:
False
Step-by-step explanation:
Verified correct with test results.
Xavier measured a line to be 13.9 inches long. If the actual length of the line is 16.6 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
there was a 270% mistake i think
Step-by-step explanation:
The percentage error in Xavier's calculation of line is 16.265 %
What is Percentage Error?
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the percentage error of Xavier's measurement of line be = A
Now , the equation will be
The measured value of the line = 13.9 inches
The actual value of the line = 16.6 inches
So , the percentage error is calculated as
Percentage error of Xavier's measurement of line A = ( ( measured value of the line - actual value of the line ) / actual value of the line ) x 100
Substituting the values in the equation , we get
Percentage error of Xavier's measurement of line A = ( | 13.9 - 16.6 | / 16.6 )x 100
Percentage error of Xavier's measurement of line A = ( 2.7 / 16.6 ) x 100
Percentage error of Xavier's measurement of line A = 16.265 %
Therefore , the value of A is 16.265 %
Hence , The percentage error in Xavier's calculation of line is 16.265 %
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what is the difference between the 11th square number and the 4th square number?
Answer:1 squared 1
2 squared 4
3 squared 9
4 squared 16
5 squared 25
6 squared 36
7 squared 49
8 squared 64
9 squared 81
10 squared 100
11 squared 121
12 squared 144
13 squared 169
14 squared 196
15 squared 225
16 squared 256
17 squared 289
18 squared 324
19 squared 361
20 squared 400
Step-by-step explanation:
dude just search it up
Answer:
105
Step-by-step explanation:
The 11 th square number is 11² = 121
The 4 th square number is 4² = 16
Their difference is 121 - 16 = 105
I'm struggling to solve this.
I'm told to solve for i,
9x- 7i < 3 (3x -7u)
Answer:
i > 3u
Step-by-step explanation:
Let's solve for i.
9x−7i<3(3x−7u)
Step 1: Add -9x to both sides.
−7i+9x+−9x<−21u+9x+−9x
−7i<−21u
Step 2: Divide both sides by -7.
−7i ÷ -7 = -21u ÷ -7
Answer
i>3u
8. Which of the following equations has a
positive slope and a negative y-intercept?
A. y = 1.75x
B. y = 2/3x - 1
C. y = -4x + 7
D. y = -0.5-1
Answer:
B
Step-by-step explanation:
the 2/3x represents how much it will increase while the -1 represents the y-intercept
The equation �=112�y=1\frac{1}{2}xy=1
2
1
x represents the number of cups of dried fruit, y, needed to make x pounds of granola. Determine whether each point would be on the graph of this proportional relationship.
Choose Yes or No for each point.
The coordinates (2,1) will be on graph but (1,3) is not on graph.
What is a coordinate?
A coordinate is a set of two or more numbers or variables that identify the position of a point, line, or plane in a space of a given dimension. Coordinates are used to pinpoint a particular location, such as a specific point on a map or a specific point in a mathematical equation.
This means that for every 1.5 cups of dried fruit, there is 1 pound of granola. The graph of this proportional relationship would be a line that goes through the origin and has a slope of 1.5. For the point (2,1), the x-coordinate (2) is exactly 1.5 times the y-coordinate (1). This means that if you used 2 cups of dried fruit, you would get 1 pound of granola. Therefore, this point would be on the graph of the proportional relationship, so the answer is Yes. However, for the point (1,3), the x-coordinate (1) is not 1.5 times the y-coordinate (3). This means that if you used 1 cup of dried fruit, you would not get 3 pounds of granola.
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An amount of $38,000 is borrowed for 6 years at 8.75% Interest, compounded annually. If the loan is paid in full at the end of that period, how much must bepaid back?
From the compound interes formula, given by
\(A=P(1+\frac{r}{n})^{n\cdot t}\)where A is the future amount, P is the principal value, r is the rate, n is the number of times interest per unit of time t, we have
\(\begin{gathered} A=38000(1+\frac{0.0875}{1})^{1\cdot6} \\ A=38000(1+0.0875)^6 \end{gathered}\)which gives
\(\begin{gathered} A=38000(1.0875)^6 \\ A=62857.8019 \end{gathered}\)Then, since the loan is paid in full at the end of the year, we must paid back: $62,857.80
What is the probability that a randomly selected man is shorter than 65 inches?
The probability that a randomly selected man is shorter than 65 inches can be determined using the concepts of normal distribution and z-scores.
Step 1: Determine the average height and standard deviation :
Assuming the average height (μ) for men is 69 inches and the standard deviation (σ) is 3 inches. These values are commonly used in such problems and can vary based on the specific population being considered.
Step 2: Calculate the z-score :
We want to find the probability of a man being shorter than 65 inches. The formula for the z-score is: Z = (X - μ) / σ Here, X is the target height (65 inches), μ is the average height (69 inches), and σ is the standard deviation (3 inches).
Substituting values to calculate the z-score: Z = (65 - 69) / 3 Z = -4 / 3 Z ≈ -1.33
Step 3: Determine the probability :
Using a z-score table or a calculator with a normal distribution function, we can find the probability that corresponds to the calculated z-score of -1.33. The table will show a value of 0.092 (approximately) for the z-score of -1.33.
Thus, the probability that a randomly selected man is shorter than 65 inches is approximately 9.2%.
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This figure represents a piece of a structure that will be built out of sheet metal. The construction crew needs 3 of these pieces.
How much sheet metal is needed to build all 3 pieces.
Enter your answer in the box.
Answer:
702 ft²
Step-by-step explanation:
The total surface area of the prism is the sum of the areas of its 7 faces.
lateral area
The width of each rectangular face is 8 ft. The total length of all of the rectangular faces is equal to the perimeter of the base:
7 ft +5 ft +3 ft +5 ft + 2 ft = 22 ft
So, the rectangular area is ...
A = LW = (8 ft)(22 ft) = 176 ft²
__
base area
The area of each base is equivalent to the area of a 5 ft×7 ft rectangle with a 3 ft×4 ft right triangle cut off one corner. The base area will be ...
A = LW -1/2bh
A = (5 ft)(7 ft) - 1/2(3 ft)(4 ft) = 29 ft²
__
area of one
So the total surface area of one structure is ...
lateral area + 2×(area of one base)
= 176 ft² +2(29 ft²) = 234 ft²
__
If 3 pieces are needed, the total amount of sheet metal needed for their construction is ...
(234 ft²) × 3 = 702 ft² . . . . needed to build all 3 pieces
Answer:
the answer is 702 I took the test
what is the greatest common factor of 21 and 48?
Answer:
Step-by-step explanation: 3