There is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.
In the posed query,
We must determine the likelihood that a standard normal random variable will occur with a probability between 0.3 and 3.2.
First, a standard normal random variable with a mean and standard deviation is introduced.
We must determine the likelihood that a standard normal random variable will fall within the range of 0.3 and 3.2.
The likelihood therefore should be
P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)
Using z's typical value
P(0.3<z<3.2)=0.9993−0.6179
Simplifying
P(0.3<z<3.2)=0.3814
According to the z table, there is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.
Option A is the proper response, so.
The complete question is:-
What is the probability that a standard normal random variable will be between .3 and 3.2?
A. .3814
B. .3808
C. .9993
D. .6179
To learn more about probability, refer:-
https://brainly.com/question/30034780
#SPJ4
A standard size volleyball court has an area of 1,800 square feet. the length of the court is 60 feet . what is the width of the court
Answer: 30
Step-by-step explanation: If you divide your area (1800) by 60 you'll get your width which is 30. To check your answer you can multiply 30 by 60 and you will get 1800.
omewaric g) j) 1 Fill in or = a). -23 d) -(7) -10 (-3)(-4) (-2)(+6) -24 _+(-7) - (+10) b) e) h) k) 3₁. 101/2003 0 -(-3)+(-3) (-2) ²-4 (-3)²-(3)² -1 2
Answer:
Step-by-step explanation:
Oscar needs to ship 24 rock CDs,and 56 pop CDs. He can pack only one type of CD in each box, and he must pack the same number of CDs in each box. What is the greatest number of CDs Oscar can pack in each box?
pls help plssssss
it would really help
The length of side AB rounded to 3 significant figures is 8.86 cm.
What is the length of side AB?The figure on the image is a right triangle.
From the image;
Angle C = 41 degreesHypotenuse = BC = 13.5 cmOpposite to angle C = AB = ?using the trigonometric ratio, we determine the length of side AB.
Sine = Opposite / Hypotenuse
sin( 41 ) = AB / 13.5
AB = sin( 41 ) × 13.5
AB = 8.86 cm
Therefore, the side AB has a length of 8.86 cm.
Learn more about trigonometric ratio here: brainly.com/question/28016662
#SPJ1
shannon is traveling from new york city to washington, d.c. she wants to go by train so she can see the views. since she will be driving home with a family member, she only priced the cost of a one-way ticket on amtrak for any time of day on february 15. below is an ordered listing of all fares that were available for selection on that day. a. find the percentile rank for a fare of $119. b. find the percentile rank for a fare of $272. c. based on your first two answers, which train fare would have a percentile rank of approximately 82%?
a. The percentile rank for a fare of $119 is 30%.
b. The percentile rank for a fare of $227 is 91.11%.
c. Based on your first two answers, for $173 train fare would have a percentile rank of approximately 82%.
a. We have to determine the percentile rank for a fare of $119.
Total number of fare below and at the fare $119 = 27
Total fare = 90
The percentile rank for a fare of $119 = Total number of fare below and at the fare $119/Total fare × 100
The percentile rank for a fare of $119 = 27/90 × 100
The percentile rank for a fare of $119 = 0.3 × 100
The percentile rank for a fare of $119 = 30%
b. We have to determine the percentile rank for a fare of $272.
Total number of fare below and at the fare $272= 82
Total fare = 90
The percentile rank for a fare of $272 = Total number of fare below and at the fare $272/Total fare × 100
The percentile rank for a fare of $272 = 82/90 × 100
The percentile rank for a fare of $272 = 0.911 × 100
The percentile rank for a fare of $272 = 91.11%
c. Based on your first two answers, We have to determine which train fare would have a percentile rank of approximately 82%.
The percentile rank for a fare of $119 is 30%.
The percentile rank for a fare of $272 is 91.11.
There are three pricing ranging from $119 to $272. The percentile rank of 82% for the $272 response to section B is closer to 91.11%. $173 is the cost next to $272. Therefore, it makes the most sense that $173 would have a percentile rank of about 82%. Determine how many fares there are
= 12 × 6 + 2
= 72 + 2
= 74 fares
The percentile rank = 74/90 × 100%
The percentile rank = 82.22%
To learn more about percentile rank link is here
brainly.com/question/10684835
#SPJ4
The complete question is:
Shannon is traveling from New York City to Washington, D.C. She wants to go by train so she can see the views. Since she will be driving home with a family member, she only priced the cost of a one-way ticket on Amtrak for any time of day on February 15. Below is an ordered listing of all fares that were available for selection on that day.
49 88 88 88 119 133 133 133 161 171 173 173 173 272 284
49 88 88 88 119 133 133 161 161 173 173 173 173 272 284
88 88 88 119 119 133 133 161 161 173 173 173 272 272 284
88 88 88 119 133 133 133 161 171 173 173 173 272 272 284
88 88 88 119 133 133 133 161 171 173 173 173 272 284 284
88 88 88 119 133 133 133 161 171 173 173 173 272 284 284
a. Find the percentile rank for a fare of $119.
b. Find the percentile rank for a fare of $272.
c. Based on your first two answers, which train fare would have a percentile rank of approximately 82%?
Six less than the product of a number n and 1/4 is no more than 96
Answer:
1/4n - 6 < 96
Step-by-step explanation:
Im a tutor but the way it is worded hurts my brain
dr. zimmer has designed a test to measure golfers' knowledge of their sport's history. to interpret scores on it, he is presently administering the test to a representative sample of all golfers. dr. zimmer is clearly in the process of
To interpret scores on it, he is presently administering the test to a representative sample of all golfers. Dr. zimmer is clearly in the process of validating their test.
Validation refers to the process of evaluating the accuracy and reliability of a test or measurement instrument. When Dr. Zimmer is administering the test to a representative sample of golfers, he is collecting data that will allow him to determine the validity of the test and its ability to accurately measure golfers' knowledge of the sport's history.
This process is important for ensuring that the test results are meaningful and can be used to make accurate inferences about the population being studied.
By comparing the scores on the test to other measures of golfers' knowledge, such as interviews or other tests, Dr. Zimmer can determine the test's ability to accurately measure the construct it is intended to measure. Therefore, Dr. Zimmer is in the process of validating his test by collecting data and evaluating its accuracy and reliability.
To learn more about sample click on,
https://brainly.com/question/16010858
#SPJ4
mathonly59 i thank u for helping me on the other one
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Original equation: }\large\boxed{\rm{2x = -12}}[/tex]
[tex]\large\text{Divide 2 to both sides:}[/tex]
[tex]\large\boxed{\rm{\dfrac{2x}{2}= \dfrac{-12}{2}}}[/tex]
[tex]\large\text{Cancel out: }\boxed{\rm{\dfrac{2}{{2}}}}\large\text{ because it give you 1.}[/tex]
[tex]\large\text{Keep: }\large\boxed{\rm{\dfrac{-12}{2}}}\large\text{ because it give you the x-value.}[/tex]
[tex]\large\boxed{\rm{x = \dfrac{-12}{2}}}[/tex]
[tex]\large\boxed{\rm{x =-6}}[/tex]
[tex]\huge\text{Therefore, your answer should be:}\\\\\\\huge\boxed{\mathsf{x = -6}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
please help!!
the rubric says to
discuss dashed vs solid line
discuss where to shade
discuss how to identify the solution
The graph is a solid line and requires no shading, the solution is the point of intersection
How to identify solid or dashed lineThere are some points that help in interpreting inequality graphs.
The equation must first be set up in the manner, with y acting as the subject of the formula and to the left.
Solid or dashed lines.
Solid lines indicate that there is equality in the inequality, while dashed lines indicate that less than or greater than no "equal to"
This equation has only equal to hence no dashed lines
The shaded area is another component.
greater than and less than are defined by shading above and below the line, respectively.
This equation has only equal to hence no shading is required
The point of intersection is the solution of the graph
Learn more about linear functions at:
https://brainly.com/question/29323505
#SPJ1
Provide an example of a sequence of five figurate numbers whose nth
term has four monomials in the polynomial function. What is the polynomial function
that represents the sequence?
The polynomial function is P(n) = n(3n - 1)/2 and the sequence is 1, 5, 12, 22 and 35
What is the polynomial function that represents the sequence?From the question, we have the following parameters that can be used in our computation:
Sequence of five figurate numbers
An instance of a sequence of figurate numbers is the pentagonal numbers
This is represented as
P(n) = n(3n - 1)/2
For the terms of the sequence, we have
P(1) = 1 * (3 *1 - 1)/2 = 1
P(2) = 2 * (3 *2 - 1)/2 = 5
P(3) = 3 * (3 *3 - 1)/2 = 12
P(4) = 4 * (3 *4 - 1)/2 = 22
P(5) = 5 * (3 *5 - 1)/2 = 35
Hence, the polynomial is P(n) = n(3n - 1)/2
Read more about polynomial at
https://brainly.com/question/7693326
#SPJ1
HELPPPP PLEASEEE
38600 mg + ? Dg
Answer: 38,600 mg = 3.86 dag
Step-by-step explanation:
to convert to dag, use 1 dag=10,000 mg and divide 38600 by 10000 also can be used by 38600 mg = 38,600/10,000 dag. after deviding you should get 3.86 dag.
Methods used that summarize or organize characteristics of data are called(A) descriptive(B) overall(C) inferential(D) average(E) subjective
The Methods used that summarize or organize characteristics of data is descriptive.
What is Methods used that summarize or organize characteristics of data ?Methods used to summarize or organize characteristics of data are referred to as descriptive methods.
Descriptive methods are used to describe the basic features of a set of data, such as its central tendency (mean, median, mode) and dispersion (range, variance, standard deviation). These methods provide a summary of the data, often through the use of graphical representations such as histograms, bar charts, and scatter plots.
The goal of descriptive methods is to understand the underlying structure of the data, identify patterns, and present the data in a clear and meaningful way.
Descriptive methods do not make inferences about a population based on a sample or draw conclusions about causality.
To know more about average visit:
brainly.com/question/24057012
#SPJ4
Short answer needed ASAP.
The triangular prism has a lateral area of 84 square inches. (Correct choice: D)
How to determine the lateral area of a triangular prism
In this problem we find the case of right prism with two right triangular bases, then the lateral area is the sum of the area of three rectangles. The area formula for a rectangle is:
A = w · l
Where:
w - Width, in centimeters.l - Length, in centimeters.Finally, we determine the lateral area of the triangular prism is:
A = (4 cm) · (7 cm) + (3 cm) · (7 cm) + (5 cm) · (7 cm)
A = 28 cm² + 21 cm² + 35 cm²
A = 84 cm²
The lateral area of the triangular prism is equal to 84 square centimeters.
To learn more on lateral areas of prisms: https://brainly.com/question/29007884
#SPJ1
val is going to plant d vegetable seeds in one garden and 5d + 4 vegetable seeds in another. how may seeds is val going to plant?
Answer:
6d+4 seeds
Step-by-step explanation:
d+5d+4=6d+4
g a process is normally distributed with a mean of 10.6 hits per minute and a standard deviation of 0.49 hits. if a randomly selected minute has 11.8 hits, would the process be considered in control or out of control? use a control chart to answer the question.
Based on a control chart analysis, the process with 11.8 hits per minute would be considered out of control.
In order to determine whether the process is in control or out of control, we can use a control chart.
A control chart is a graphical representation of process data that shows the behavior of the process over time and allows us to determine whether the process is in control or out of control.
The first step in creating a control chart is to calculate the control limits. In a normal distribution, control limits are set at +/- 3 standard deviations from the mean.
For this process, the mean is 10.6 hits per minute and the standard deviation is 0.49 hits.
The control limits would be:
Upper control limit (UCL) = 10.6 + (3 * 0.49) = 11.57 hits
Lower control limit (LCL) = 10.6 - (3 * 0.49) = 9.63 hits
Next, we compare the data point of 11.8 hits to the control limits.
If the data point falls outside of the control limits, the process is considered out of control.
If the data point falls within the control limits, the process is considered in control.
In this case, the data point of 11.8 hits is outside of the control limits and is higher than the upper control limit of 11.57 hits.
This means the process is considered out of control.
For more questions on control chart analysis
https://brainly.com/question/14917364
#SPJ4
Can I get help please
The amount of money that I will have at the end of 20 years would be =$4,480. That is option D
What is compound interest?Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.
The total amount invested (p)= $2,000
The rate of investment (r) = 5%
The time of investment(t)= 12 year
The compound interest warm from that account;
= P×T×R/100.
= 2,000×12×5/100
= 120000/100
= $1200
For the next 8 years with the rate of 8% ;
= 2,000×8×8/100
= 128000/100
= $1280
The total compound interest = $1200+$1280= $2,480
Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480
Learn more about simple interest here:
https://brainly.com/question/25793394
#SPJ1
2. Which of the following is true about logarithmic functions?
The x inside a logarithm can never be zero.
The solution of a logarithm can never be zero.
The x inside a logarithm must always be greater than zero.
The argument inside a logarithm must always be greater than zero.
the city council hired three college interns to measure public support for a large parks and recreation initiative in their city. the interns mailed surveys to 500 randomly selected participants in the current public recreation program. they received 150 responses. true or false? even though the sample is random, it is not representative of the population of interest.
True. Even though the sample is random, it is not representative of the population of interest.
A representative sample is a subset of a population that accurately reflects the total population in terms of the characteristics being measured. In this case, 500 surveys were sent to randomly selected participants in the public recreation program, and only 150 responses were received. This results in a response rate of 30%. The formula for calculating the response rate is (responses/population x 100). By having a low response rate, the sample size is not large enough to accurately reflect the characteristics of the population of interest.
Learn more about sample size here:
https://brainly.com/question/24158610
#SPJ4
a coin is tossed 5 times and the sequence of outcomes is hthth, where h denotes heads and t denotes tails. what is the maximum likelihood estimate for the probability p of getting heads when tossing this coin?
The probability p of getting heads when tossing this coin is 16
Since you're flipping the coin five times, each outcome will have an odd number of heads and tails: either there will be more heads than tails, or there will be more tails than heads. Because neither heads nor tails are preferred, each outcome will have an equal number of heads and tails.
The simple explanation is that more heads will appear in half of the results. As there are 25=32 possible outcomes, the correct response is 16 divided by 32.
You would have had to take into account that some of the results have the same number of heads and tails if you had indicated the coin was flipped six times.
Know more probability
https://brainly.com/question/13604758
#SPJ4
a professor wanted to investigate whether the amount of time students studied for a test would impact their final grade. the professor has 3 classes each with 25 students. the first class did not study for the final. the second class studied an average of 5 hours. the last class studied an average of 10 hours. which class is the control group?
The first class, which did not study for the final, is the control group.
The control group serves as a baseline for comparison with the other groups in an experiment. By comparing the outcome of the experimental group(s) with the outcome of the control group, the experimenter can determine if the treatment had an effect.
In this case, the professor can compare the grades of the first class (which did not study) with the grades of the second and third classes (which studied for 5 hours and 10 hours respectively) to see if the amount of time spent studying had an impact on the students' grades.
To know more on control group
https://brainly.com/question/23389356
#SPJ4
a 30 foot ladder leans against a building. the base of the ladder is 8 feet from the building. how high on the building does the ladder reach?
The ladder reaches up to a height of 2√209 feet.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
From the given information, we can form a right angled triangle, with the hypotenuse being equal to 30 foot and base equal to 8 feet.
We have to find the altitude.
Using Pythagoras theorem,
Altitude² = Hypotenuse² - Base²
= 30² - 8²
= 900 - 64
= 836
Altitude = √836 = 2√209 feet
Hence the height on the building that the ladder reaches is 2√209 feet.
Learn more about Pythagoras Theorem here :
https://brainly.com/question/21926466
#SPJ1
kristin spent $131 on shirts. fancy shirts cost $28 and plain shirts cost $15. if she bouahgt a total of 7 then how many of each did she buy
Kristin bought 4 fancy shirts and 3 plain shirts.
Let's assume Kristin bought "x" fancy shirts and "y" plain shirts.
We know that:
x + y = 7 (the total number of shirts Kristin bought)
28x + 15y = 131 (the total amount of money she spent)
We can use the first equation to solve for one of the variables in terms of the other.
For example: y = 7 - x
Substituting this into the second equation:
28x + 15(7 - x) = 131
28x + 105 - 15x = 131
13x = -74
x = -5.692307692 (approximately)
Since x must be a positive integer (the number of fancy shirts cannot be negative or a fraction), this solution is not valid.
However, we can see that the equation does have a solution by trying a larger value for x:
x = 1
y = 6
This gives us:
28 * 1 + 15 * 6 = 131
28 + 90 = 131
118 = 131
This solution is not valid either, since the total amount spent cannot be less than the cost of the shirts.
By repeating this process, we can find that the solution is x = 4 and y = 3.
For more questions on Linear Equation
https://brainly.com/question/2030026
#SPJ4
PLEASE HELP!!! WILL GIVE BRAINLIEST!!!!!! QUICKLYYYYYYY
For ΔABC, m∠A = 28.7° and m∠B = 123.8°. Determine m∠C.
27.5°
62.5°
76.25°
152.5°
In ΔJKL, m∠J = 67° and m∠L = 90°. Determine the measure of the exterior angle to ∠K.
23°
113°
157°
78.5°
For triangle XYZ, m∠X = 38°, m∠Y = (5x − 11)°, and m∠Z = (4x − 45)°. Find m∠Y.
m∠Y = 22°
m∠Y = 43°
m∠Y = 99°
m∠Y = 158°
One interior angle of a triangle is 89.5°, and the other two interior angles are congruent. What is the degree measure of one of the congruent angles?
44.75°
45.25°
90°
90.5°
Answer:
option A
Step-by-step explanation:
27.5° will be the value of m∠C. Thus option A is correct.
What is an angle sum property?
A closed shape with both inner and exterior angles, a triangular is created by three lines. Because when measurements of the additional two angles are known, one can utilize the angle sum property to determine the measure of an undetermined interior angle. To calculate the third angle's measurement, add the first two angles together and reduce their combination from 180 degrees.
The information that is provided is with respect to the triangle ΔABC
In which the value of the two triangles is given as m∠A = 28.7° and m∠B = 123.8°
To determine the third angle m∠C angle sum property will be used.
180 = m∠A + m∠B + m∠C
180 = 28.7° + 123.8° + m∠C
180 = 152.5 + m∠C
m∠C = 180 - 152.5
m∠C = 27.5°
The reaming angle will be 27.5°. Therefore, option A is the correct option.
If 1/8 of a fence is built in 2/5 of an hour, how much of the fence will be completed in hour?
Answer:
Below
Step-by-step explanation:
1/8 f / 2/5 hr = 1/8 * 5/2 = 5/16 fence per hour
The amount of fence completed in 1 hour is A = 5/16
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
1/8 of a fence is built in 2/5 of an hour
Now , the unit rate of work is given by
A = ( 1/8 ) / ( 2/5 )
On simplifying the equation , we get
A = ( 1/8 ) x ( 5/2 )
A = 5/16 per hour
Hence , the amount of fence completed per hour is ( 5/16 )th
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
3. Sam's Science mark is 15 less than his Maths
mark. The total of his two marks is 145. Find
Sam's mark for each subject.
Answer:
Step-by-step explanation:
Math=80 and Science=65
(10 more than a number is divided by four the result is 7.) how would you write this as an equation
Answer:
(x + 10)/4 = 7
Step-by-step explanation:
Break the sentence into segments:
let the number be x
10 more than this number:Write an equation of the line with a slope of
3
- ³/4 and y-intercept of -6.
y
||
0
two sides of a triangle have lengths 23 and 53. the third side has length of n 2 , where n is a positive integer. how many possible values are there for n?
The positive integer representing possible values for third side length of the triangle as per given measure of two side length are 45.
Two side length of a triangle be 'x' and 'y'
Side length 'x' = 23
Side length 'y' = 53
Third side length be 'n'
Using triangle inequality we have ,
x + y > n
⇒ 23 + 53 > n
⇒ 76 > n ___(1)
And x + n > y
⇒ 23 + n > 53
⇒ n > 53 - 23
⇒ n > 30 ___(2)
We know 'n' is a positive integer .
30 < n < 76
All the positive integer between 30 and 76 are possible values for 'n'.
Possible values are : 75 - 30 = 45
Therefore, there are 45 possible values for the third side of a triangle.
Learn more about triangle here
brainly.com/question/2773823
#SPJ4
discuss three sources of error that would have contributed to the value you obtained for your percent difference or percent error
The three sources of error that would have contributed to the value obtained for the percent difference or percent error are systematic error, random error, and human error.
Systematic error is an error that occurs in the same direction each time a measurement is made, resulting in a consistent bias in the data. This type of error is caused by a flaw in the measurement process, such as a faulty instrument or a miscalibration. Systematic errors can be difficult to identify and correct, as they are often not obvious.
Random error is an error that occurs in a random direction each time a measurement is made, resulting in a random variation in the data. This type of error is caused by factors that are out of the experimenter's control, such as environmental factors or the natural variability of the system being measured. Random errors can be reduced by taking multiple measurements and averaging the results.
Human error is an error that occurs due to mistakes made by the experimenter, such as misreading a scale or incorrectly recording data. Human errors can be reduced by carefully following the instructions for the experiment and double-checking all measurements and calculations.
In conclusion, the three sources of error that would have contributed to the value obtained for the percent difference or percent error are systematic error, random error, and human error. Each of these errors can be reduced by taking steps to ensure accuracy and precision in the experiment.
To know more about error:
https://brainly.com/question/28008941
#SPJ4
What is the slope of the line please help ASSP!!
Please HELPPP. A student graphs points on the coordinate plane.
Which point could be removed from the student's graph so that the remaining
points represent a function?
A.
B.
OA
(7,-9), (4, 10), (13,0), (6, 10), (-9,0), (-4, 1), (13,3)
(4,10)
(13,0)
C. (7.-9)
D.. (6,10)
keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.