(a) The sampling distribution of x is approximately normal with mean 82 and standard deviation 3. (b) P(x > 87.4) = 0.0708. (c) P(x ≤ 75.1) = 0.0990. (d) P(79.3 < x < 84.7) = 0.1675.
(a) The sampling distribution of x is approximately normal due to the central limit theorem, with a mean of μ = 82 and a standard deviation of σ/sqrt(n) = 27/sqrt(81) = 3.
(b) To find P(x > 87.4), we first standardize the value using the formula z = (x - μ) / (σ / sqrt(n)) = (87.4 - 82) / (27 / sqrt(81)) = 1.48. We then find the probability using a standard normal distribution table or calculator, which is approximately 0.0708 or 7.08%.
(c) To find P(x ≤ 75.1), we again standardize the value using the formula z = (x - μ) / (σ / sqrt(n)) = (75.1 - 82) / (27 / sqrt(81)) = -1.29. We then find the probability using a standard normal distribution table or calculator, which is approximately 0.0990 or 9.90%.
(d) To find P(79.3), we first standardize the value using the formula z = (x - μ) / (σ / sqrt(n)) = (79.3 - 82) / (27 / sqrt(81)) = -0.96. We then find the probability using a standard normal distribution table or calculator, which is approximately 0.1675 or 16.75%.
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A teacher surveys 64 children on how they travelled to school. 20 of the students were in Year 7. The teacher surveyed 30% more students in Year 9 than in Year 7. The rest of the students surveyed were in Year 11. 75% of the students in Year 7 walked to school. 8 more students in Year 9 walked to school than did not walk. Out of students surveyed, more Year 11 students walked to school than Year 9 students. One of these students is picked at random Write down the probability that the student chosen will walk to school
The probability that the student chosen will walk to school is 0.5156.
Out of the 64 understudies (students) overviewed, let x be the number of understudies overviewed in Year 9.
At that point, we know that x = 1.3*20 = 26.
Out of the 20 understudies (students) studied in Year 7, 75% strolled to school, so 15 understudies in Year 7 strolled to school.
In Year 9, 8 more understudies strolled to a school than did not walk. Let w be the number of understudies in Year 9 who strolled to school.
At that point, the number of understudies in Year 9 who did not walk to school is x - w. So we have:
w + (x - w) = 26 (since x is the entire number of understudies overviewed in Year 9)
w - (x - w) = 8 (since 8 more understudies strolled to a school than did not walk)
Understanding this framework of conditions, we get w = 17 and x - w = 9
Out of the remaining understudies studied, which are in Year 11, we know that more strolled to a school than in Year 9.
In this manner, the likelihood that an understudy chosen at irregular strolls to school is:
P(walk to school) = (15 + 17 + x/4)/64
where x/4 is the number of understudies overviewed in Year 11 who strolled to school. We do not know the esteem of x/4, but we do know that it is more prominent than 9, since more understudies strolled to school in Year 11 than in Year 9.
In this manner, ready to say that:
P(walk to school) > (15 + 17 + 9)/64 = 0.5156
So the likelihood that a student chooses irregular walks to school is more noteworthy than 0.5156.
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a positive angle less than 360 that is coterminal with 695 is
The requried, positive angle less than 360 that is Coterminal with 695 is 335 degrees.
To find an angle that is coterminal with 695 and less than 360 degrees, we can subtract 360 degrees from 695 until we get an angle that is less than 360 degrees.
695 - 360 = 335
335 is an angle that is coterminal with 695 and less than 360 degrees.
Thus, a positive angle less than 360 that is Coterminal with 695 is 335 degrees.
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If you were creating a regression model predicting employee salary at a company based on the following predictor variables, which would need to be dummy coded:
a. experience (number of years working in that field)
b. job title
c. tenure (number of years working at that job)
d. age
In order to create a regression model predicting employee salary at a company based on the given predictor variables, we would need to dummy code the job title variable.
The other variables, experience, tenure, and age, can be used as continuous variables without the need for dummy coding. Dummy coding the job title variable would involve creating separate binary variables for each job title category, with a value of 1 indicating that the employee holds that job title and a value of 0 indicating they do not. This would allow us to include job title as a predictor variable in the regression model while accounting for the fact that job titles are not continuous or ordinal variables.
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robert recorded the number of calls he made at work during the week: daycalls monday20 tuesday12 wednesday10 thursday18 he expected to make 15 calls each day. to determine whether the number of calls follows a uniform distribution, a chi-square test for goodness of fit should be performed (alpha
The chi-square test statistic is 4.54.
Thus, option C. 4.54 is correct.
We can calculate the chi-square test statistic using the formula:
χ² = Σ((O - E)² / E)
where:
O = observed frequency
E = expected frequency
Given the observed frequencies:
Monday: 20 calls
Tuesday: 12 calls
Wednesday: 10 calls
Thursday: 18 calls
And the expected frequency: 15 calls each day
Let's calculate the chi-square test statistic step by step:
For Monday:
χ² = ((20 - 15)² / 15)
= 1.67
For Tuesday:
χ² = ((12 - 15)² / 15)
= 0.6
For Wednesday:
χ² = ((10 - 15)² / 15)
= 1.67
For Thursday:
χ² = ((18 - 15)² / 15)
= 0.6
Now, we sum up all the individual chi-square values:
χ² = 1.67 + 0.6 + 1.67 + 0.6
= 4.54
Therefore, the chi-square test statistic is 4.54.
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The question attached here seems to be incomplete, the complete question is:
Robert recorded the number of calls he made at work during the week:
Day Calls
Monday 20
Tuesday 12
Wednesday 10
Thursday 18
He expected to make 15 calls each day. To determine whether the number of calls follows a uniform distribution, a chi-square test for goodness of fit should be performed (alpha = 0.05).
Using the data above, what is the chi-square test statistic? Answer choices are rounded to the hundredths place.
a.)0.67
b.)0.42
c.)4.54
d.)3.75
find the slope of a line perpendicular to the line who choose equation 3x-2y=14 fully simplifier answer
Answer:
-2/3
Step-by-step explanation:
3x -2y = 14
-2y = -3x + 14
y = 3/2x - 7
m = 3/2
The equation of a perpendicular line to y = 3/2x − 7 must have a slope that is the negative reciprocal of the original slope.
m perpendicular = - [tex]\frac{1}{\frac{2}{3} }[/tex]
So, the answer is m perpendicular = -2/3
A manufacturing plant produces 917 units in 7 hours. The production rate is consistent each hour. How many hours does it take to produce 1,441 units?
The ratio problem of a manufacturing plant produces 917 units in 7 hours so it would take approximately 11 hours to produce 1,441 units at the same consistent production rate.
We can use a proportion to solve this problem.
Let's call the number of hours it takes to produce 1,441 units "x". We know that the plant produces 917 units in 7 hours, so we can set up the following proportion:
917 units / 7 hours = 1441 units / x hours
To solve for x, we can cross-multiply and simplify:
917 units × x hours = 7 hours × 1441 units
x = (7 hours × 1441 units) / 917 units
x ≈ 11 hours
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Explain in your own words what the distributive law is.
Answer: What is a Distributive Law?
Step-by-step explanation:
Distributive law, also called distributive property, in mathematics, the law relating the operations of multiplication and addition, stated symbolically as a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.
{Hope This Helps :)}
Multiplying a number by a group of numbers adding together is called distructive law
Faja has 8$.she spends 8$ on her lunch. How much money does she have after buying lunch?
Answer: 0
Step-by-step explanation:
8-8=0
The volume of the right cone below is 5677 units³. Find the value of x.
Answer:
21 units
Step-by-step explanation:
You want the height (x) of a cone with base radius 9 units and volume 567π cubic units.
VolumeThe volume of a cone is given by the formula ...
V = 1/3πr²h
Solving for the height, and using x for the height, we find ...
x = 3V/(πr²) = 3(567π units³)/(π(9 units)²) = 21 units
The height of the cone is 21 units.
Question 5: find all of the arcs and angles
The measure of arc angle DC is 60.
The measure angle A is 45⁰.
The measure angle B is 50⁰.
The measure angle C is 45⁰.
The measure angle D is 50⁰.
What is the measure of the angles?The measure of arc angle DC is calculated as follows;
arc DC = 360 - (100 + 110 + 90) (sum of angles in a circle)
arc DC = 60
The measure angle A is calculated as follows;
m∠A = ¹/₂( arc BC ) (intersecting chord theorem)
m∠A = ¹/₂ x 90
m∠A = = 45⁰
The measure angle B is calculated as follows;
m∠B = ¹/₂( arc AD ) (intersecting chord theorem)
m∠B = ¹/₂ x 100
m∠B = 50⁰
The measure angle C is calculated as follows;
m∠C = m∠A (vertical opposite angles)
m∠C = = 45⁰
The measure angle D is calculated as follows;
m∠D = m∠B (vertical opposite angles)
m∠C = = 50⁰
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Vector v = RS has points R(-2, 11) and S(-14, 8). What are the magnitude and direction of RS? Round the answers to the thousandths place.
Answer: To find the magnitude and direction of vector RS, we first need to find the components of the vector, which are given by the differences in the x- and y-coordinates of R and S:
v = RS = <(-14) - (-2), 8 - 11> = <-12, -3>
The magnitude of v is given by the formula ||v|| = sqrt(a^2 + b^2), where a and b are the x- and y-components of v:
||v|| = sqrt((-12)^2 + (-3)^2) = sqrt(144 + 9) = sqrt(153) = 12.37
The direction of v is given by the angle that it makes with the positive x-axis, measured counterclockwise. We can find this angle using the formula theta = arctan(b/a), where a and b are the x- and y-components of v:
theta = arctan(-3/-12) = arctan(0.25) = -14.04 degrees (rounded to the nearest hundredth)
Therefore, the magnitude of RS is 12.37, and the direction of RS is 14.04 degrees below the negative x-axis.
Step-by-step explanation:
represent 2/7 on the number line
Answer:
look the picture for the representation
thank you
The mean and median of a set of five positive integers is 5. What is the largest integer that can be in the set?
The largest integer that can be in the data-set is given as follows:
13.
How to obtain the mean and the median of a data-set?The mean is given by the sum of all observations divided by the number of observations.The median of a data-set is the middle element of the data-set.The data-set in this problem has five integers, hence the median of 5 is the third element, given as follows:
x, y, 5, w, z.
The mean is also of 5, meaning that the sum of the other elements is 20, that is:
x + y + w + z = 20.
z will be maximized when x = 1, y = 1 and w = 5, hence:
1 + 1 + 5 + z = 20
z = 13.
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find the indicated critical z value. find the value of that corresponds to a confidence level of 94%.
This formula gives us the value that corresponds to the specified confidence level.
To find the critical z value that corresponds to a confidence level of 94%, we need to use a standard normal distribution table or calculator.
Using a table, we can find that the critical z value for a 94% confidence level is approximately 1.88. This means that 94% of the area under the standard normal curve falls within 1.88 standard deviations of the mean.
To find the value that corresponds to this critical z value, we need to know the mean and standard deviation of the population we are interested in. If we don't have this information, we can use a sample mean and standard deviation to estimate them.
Once we have the mean and standard deviation, we can use the formula:
value = mean + (z * standard deviation)
where z is the critical z value we found earlier.
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Identify the rules used to calculate the number of bit strings of length six or less, not counting the empty string. (Check all that apply) (You must provide an answer before moving to the next part) Check All That Apply the sum rule the product rule the subtraction rule the division rule S Prov CHO 1 2 3 of 1010! Next > Il be here to search O
The rules used to calculate the number of bit strings of length six or less, not counting the empty string, are the sum rule, the product rule, and the subtraction rule. The division rule is not applicable in this case.
The sum rule states that if a task can be done in either of n ways or in m ways, where the ways are mutually exclusive, then the task can be done in n + m ways. In this case, we can count the number of bit strings of length one, two, three, four, five, and six and then add them up to get the total number of bit strings of length six or less.
The product rule states that if a task can be done in n ways and a second independent task can be done in m ways, then the two tasks can be done in n × m ways. In this case, we can count the number of choices for each bit in a bit string of length six or less and then multiply the number of choices together to get the total number of bit strings.
The subtraction rule states that if a task can be done in n ways and k of these ways are undesirable, then the task can be done in n − k ways. In this case, we can count the total number of bit strings of length six and subtract the number of bit strings of length zero to get the total number of bit strings of length six or less.
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Two similar triangles are shown on the coordinate grid: A coordinate plane is shown. Triangle XYZ has vertices X at negative 5 comma negative 1, Y at negative 6 comma negative 2, and Z at negative 3 comma negative 2. Triangle X double-prime Y double-prime Z double-prime has vertices X double-prime at 10 comma negative 2, Y double-prime at 12 comma negative 4, and Z double-prime at 6 comma negative 4. Which set of transformations has been performed on triangle XYZ to form triangle X′′Y′′Z′′? (4 points)
Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
The correct set of transformations is "Dilation by a scale factor of 2 followed by reflection about the x-axis".
Compare the corresponding side lengths to find the scale factor of the dilation.
For example, the distance between X and Y is √2 in triangle XYZ, and the distance between X'' and Y'' is 2√2 in triangle X''Y''Z''.
Therefore, the scale factor of the dilation is 2.
Now, find the direction of the reflection.
The y-coordinates of corresponding points in the two triangles have the same absolute values but opposite signs, which suggests a reflection about the x-axis.
Therefore, the correct set of transformations is:
Dilation by a scale factor of 2 followed by reflection about the x-axis.
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A summary of two stocks is shown.
Name of Stock Symbol Closing Price Day 1 Closing Price Day 2 Closing Price Day 3
Metroplis, Ltd MTP 17.95 18.28 18.25
Suburbia, Inc SBR 5.63 5.88 4.98
Suppose you purchase 30 shares of Metropolis stock and 55 shares of Suburbia stock on Day 1 at the closing price. Which day, during the following two days, would be the best to sell both stocks?
Day 2 is the best by $26.75.
Day 3 is the best by $26.75.
Day 2 is the best by $23.65.
Day 3 is the best by $23.65.
The best day to sell both stocks is Day 2, since the total value of both stocks is highest on that day, option C is correct.
On Day 1, the total value of the 30 shares of Metropolis stock is:
30 shares x $17.95 per share = $538.50
And the total value of the 55 shares of Suburbia stock is:
55 shares x $5.63 per share = $309.65
So the total value of both stocks on Day 1 is:
$538.50 + $309.65 = $848.15
On Day 2, the total value of the shares of Metropolis stock is:
30 shares x $18.28 per share = $548.40
And the total value of the shares of Suburbia stock is:
55 shares x $5.88 per share = $323.40
The total value of both stocks on Day 2 is: $871.8
for Day 3, total value of both stocks on Day 3 is $$821.40
Therefore, we can see that the best day to sell both stocks is Day 2, since the total value of both stocks is highest on that day:
$871.80 - $848.15 = $23.65
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The operations manager at a large newspaper wants to estimate the proportion of newspapers printed that have a non- conforming attribute. Using the Define, Collect, Organize, Visualize, and Analyze steps, you define the variable of interest as whether the newspaper has excessive ruboff, improper page setup, missing pages, or duplicate pages. You collect the data by selecting a random sample of n = 200 newspapers from all the newspapers printed during a single day. You organize the results, which show that 35 newspapers contain some type of non-conformance, in a worksheet. What is the Standard error of the mean (SEM) when a 93% confidence interval for the proportion of newspapers printed during the day that have a non- conforming attribute?
Let's go through the process step-by-step to find the Standard Error of the Mean (SEM) for a 93% confidence interval for the proportion of newspapers with a non-conforming attribute.
Step 1: Define the variable of interest
The variable of interest here is whether the newspaper has a non-conforming attribute, which includes excessive ruboff, improper page setup, missing pages, or duplicate pages.
Step 2: Collect the data
You have already collected the data by selecting a random sample of n = 200 newspapers from all the newspapers printed during a single day.
Step 3: Organize the data
You have organized the results, which show that 35 newspapers contain some type of non-conformance, in a worksheet.
Step 4: Calculate the proportion
Now, we need to calculate the proportion of non-conforming newspapers:
Proportion (p) = (Number of non-conforming newspapers) / (Total number of newspapers in the sample)
p = 35 / 200 = 0.175
Step 5: Calculate the Standard Error of the Mean (SEM)
The formula for the SEM is:
SEM = sqrt[p * (1 - p) / n]
where p is the proportion of non-conforming newspapers and n is the sample size.
SEM = sqrt[0.175 * (1 - 0.175) / 200]
SEM ≈ 0.0283
So, the Standard Error of the Mean (SEM) for a 93% confidence interval for the proportion of newspapers with a non-conforming attribute is approximately 0.0283.
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IF three coins are thrown. What is the probability of obtain at least one head
If three coins are thrown, the probability of obtaining at least one head is 0.875.
Probability refers to likely of an event occurring. The probability of an event occurring is expressed as
P = [tex]\frac{favourable\,outcome}{Total\,number\,of\,outcome}[/tex]
The events that can occur when three coins are thrown are HHH, HHT, HTH, HTT, TTT, TTH, THT, THH where T is the tail side obtained
and H is the head side obtained.
Total number of outcomes possible = 8
The events in which at least one head is obtained are HHH, HHT, HTH, HTT, THH, THT, TTH
Number of events in which at least one head is obtained = 7
Probability = [tex]\frac{7}{8}[/tex] = 0.875
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Let X and Y be two independent uniform random variables on (0, 1).
(a) Using the convolution formula, find the p.d.f. fZ(z) of the random variable Z = X + Y , and graph it.
(b) What is the moment generating function of Z?
(a) To find the probability density function (pdf) of Z = X + Y, we can use the convolution formula:
fZ(z) = ∫_{-∞}^{∞} fX(x) fY(z - x) dx
Since X and Y are both uniformly distributed on (0,1), we have:
fX(x) = fY(y) = 1, for 0 < x,y < 1
Substituting these expressions, we get:
fZ(z) = ∫_{0}^{1} 1 * 1 dz - ∫_{0}^{z} 1 * 1 dx = z, for 0 < z < 1
fZ(z) = 0, for z ≤ 0 or z ≥ 1
Therefore, the pdf of Z is:
fZ(z) = {
z, 0 < z < 1,
0, otherwise.
}
(b) To find the moment generating function (MGF) of Z, we can use the definition:
M_Z(t) = E[e^{tZ}] = ∫_{-∞}^{∞} e^{tz} fZ(z) dz
Using the pdf of Z, we get:
M_Z(t) = ∫_{0}^{1} e^{tz} z dz = [(ze^{tz})/(t^2)]|_{0}^{1} = (e^t - 1)/t^2, for t ≠ 0
M_Z(t) = 1, for t = 0
Therefore, the MGF of Z is:
M_Z(t) = {
(e^t - 1)/t^2, t ≠ 0,
1, t = 0.
}
Note that the MGF is defined only for values of t for which the integral converges.
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Explain how to do function operation and function composition. Use the following functions to complete f(x) + g(x), g(x) - f(x), f(x) - g(x), g(f(x)) and f(g(x)). Explain why you don’t need to do both f(x) + g(x) and g(x) + f(x). f(x) = 2x - 1 and g(x) = x^2 - 9x - 4
Answer:
Function operation and function composition are two fundamental concepts in mathematics that are commonly used in algebra, calculus, and other branches of mathematics.
Function operation involves performing arithmetic operations on two or more functions to create a new function. To find the result of f(x) + g(x), we simply add the two functions together:
f(x) + g(x) = (2x - 1) + (x^2 - 9x - 4) = x^2 - 7x - 5
Similarly, we can find g(x) - f(x) and f(x) - g(x) by subtracting one function from the other:
g(x) - f(x) = (x^2 - 9x - 4) - (2x - 1) = x^2 - 11x - 3
f(x) - g(x) = (2x - 1) - (x^2 - 9x - 4) = -x^2 + 11x - 3
Function composition, on the other hand, involves plugging one function into another function to create a new function. To find g(f(x)), we first evaluate f(x) and then plug the result into g(x):
g(f(x)) = g(2x - 1) = (2x - 1)^2 - 9(2x - 1) - 4 = 4x^2 - 25x - 14
Similarly, we can find f(g(x)) by plugging g(x) into f(x):
f(g(x)) = f(x^2 - 9x - 4) = 2(x^2 - 9x - 4) - 1 = 2x^2 - 18x - 9
Now, to answer your question about why we don't need to do both f(x) + g(x) and g(x) + f(x), it's because addition is commutative, which means that the order of the terms doesn't matter. Therefore, f(x) + g(x) is the same as g(x) + f(x). The same is true for subtraction. However, this is not the case for function composition, as plugging one function into another is not commutative.
The derivation of the Quadratic Formula is shown by completing the square and applying square roots. What is the missing step?
A. x^2+b/a · x+c=0
B. ax^2+b/a · x+c/a=0
C. ax^2+b/a · x+c=0
D. x^2+b/a · x+c/a=0
Answer: x^2 + bx/a + c/a = 0
Step-by-step explanation:
the step simplifies the division of a:
0 divided by anything is still zero, so you can remove the a denominator
a/a = 1, and is therefore irrelevant, so ax^2 / a = x^2
the rest can stay
5³ + 4² + √81
Please help tyyy
Answer:
150
Step-by-step explanation:
First, we can simplify 5³:
5³ = 5 × 5 × 5 = 125
Then, we can simplify 4²:
4² = 4 × 4 = 16
Next, we can simplify √81:
√81 = √(9 × 9) = 9
Finally, we can add these simplified values:
5³ + 4² + √81
= 125 + 16 + 9
= 150
_____
Note:
An exponent shows how many times its base (the big number next to it) should be multiplied by itself.
A square root gives the number that is multiplied by itself to get the number under the root sign.
PLSSSS HELP IF YOU TRULY KNOW THISS
The answer resulted in x = 5 after the operation as the picture suggests, hope this helps
Use the figure below to answer questions 28 and
T/BL/2
9.15 9-15
50es
4.1st
8000
9 ft
00
ft
py)
y
14 ft
bottom
06
9ft top
15 ft side
the figure?
The Surface area of Composed figure is 1,341 square feet.
First, Surface Area of Prism
= (9 + 9 + 9)15 + (9)(6)
= 27 x 15 + 54
= 405 + 54
= 459 square feet
Now, Surface area of Cuboid
= 2 (105 + 210+ 126)
= 2(441)
= 882 square feet
Thus, the Surface area of Composed figure
= 459 + 882
= 1,341 square feet
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some data mining algorithms require that variables are standardized (sometimes called normalized) to zero mean and standard deviation of 1.0. what is the reason for this?
The reason why some data mining algorithms require that variables are standardized to zero mean and standard deviation of 1.0 is because it helps to normalize the data and make it more comparable across different variables.
Standardizing the data helps to remove the impact of the scale of the variables on the analysis, allowing for more accurate comparisons and correlations between variables. By doing this, it ensures that no one variable has an undue influence on the results of the analysis. Standard deviation is a statistical measure that is used to measure the amount of variability or dispersion in a dataset. When data is standardized, it allows for a more accurate assessment of the relationship between variables and can improve the accuracy of the analysis. Overall, standardizing variables is a crucial step in the data mining process, as it helps to ensure that the results of the analysis are reliable and accurate.
The reason some data mining algorithms require variables to be standardized (or normalized) to a zero mean and a standard deviation of 1.0 is to ensure consistent and comparable scales for all variables involved. Standardizing variables helps in improving the performance and accuracy of the algorithms.
When variables have different scales or units, it can be challenging for algorithms to interpret their relative importance accurately. By transforming variables to have a zero mean and a standard deviation of 1.0, the algorithms can more effectively process and analyze the data. This standardization process is particularly important for distance-based and gradient-based algorithms, where scale differences can significantly impact the results.
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The triangle shown below is a right triangle with the right angle marked.
Which equation correctly expresses the Pythagorean Theorem for this triangle?
A)p²+q²=r²
B)r²+q²=p²
C)(p+q)²=r²
D)p²+r²=q²
Answer:
The Correct answer is A
Step-by-step explanation:
b) because r²=q²+p²,p²=r²-q² not
r²+q²
c) (p+q)²=r²
is not correct because
(p+q)²=(p+q)(p+q)
d) p²+r²=q² wrong
because
q²=r²-p²
someone, please help! giving brainliest and 100 points!
box and whisker method.
I'll show you how to do the first one so that you can do the rest yourself
Answer:
7, 10, 13, 19, 24
Step-by-step explanation:
First, re-write the numbers in numerical order;
7 8 10 10 13 16 19 23 24
(If there's a double number, add it twice)
Then, find the following values easily
The Minimum is the lowest value, 7
The Median is the middle value, 13
The Maximum is the highest value, 24
Here's where it gets tricky...You split the first half (7-13) and the second half (13-24). You then find the median of both halves to find Q1 and Q3
Simply follow those steps to find the other solutions
15. Mike will give the waitress a 15% tip. The bill for his dinner is $35.40. How
much will the waitress receive for a tip?
A. $40.71
B. $531
C. $5.31
D. $55.30
SHOW YOUR WORK!
Reread the problem. Did
you answer the question that
was asked?
Answer:
C. $5.31
Step-by-step explanation:
35.40*0.15=5.31
0.15 is 15%
tate has hit a home run twice out of the 9 times he has been up to bat. what is the chance he will hit 2 home runs in a row
The probability that Tate will hit 2 home runs in a row is P ( R ) = 4/81
Given data ,
Let the total number of throws be = 9
And , the number of times Tate hits a home run in 9 throws = 2
Now , the probability of Tate hitting a home run in a single at-bat is 2/9
The probability of hitting a home run in two consecutive at-bats is the product of the probabilities of hitting a home run in each individual at-bat, assuming that the outcomes of the at-bats are independent.
Therefore, the probability of Tate hitting 2 home runs in a row is P ( R )
P ( R ) = (2/9) x (2/9)
P ( R ) = 4/81
Hence , the probability is 4/81
To learn more about probability click :
https://brainly.com/question/17089724
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