Need help with this it due now right now assignment Geometry so hard pls been waiting for so long
Step-by-step explanation:
Application of Formulas in Geometry By textbook tactics
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The mean monthly rent of students at Oxnard University is $780 with a standard deviation of $208.
(a) John’s rent is $1,235. What is his standardized z-score? (Round your answer to 3 decimal places.)
z 2.1875 Numeric ResponseEdit Unavailable. 2.1875 correct.
(b) Is John’s rent an outlier?
multiple choice
Yes
No Correct
(c) How high would the rent have to be to qualify as an outlier?
John’s rent would have to be $ 1237 Numeric ResponseEdit Unavailable. 1237 incorrect.or higher to be considered an outlier.
Answer:
a) 2.188
b) John's rent is not an outlier
c) His rent has to be higher than $1,235 to be an outlier
Step-by-step explanation:
The mean monthly rent of students at Oxnard University is $780 with a standard deviation of $208.
(a) John’s rent is $1,235. What is his standardized z-score?
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = $1235
μ is the population mean = $780
σ is the population standard deviation = $208
Hence,
z = 1235 - 780/208
z = 2.1875
Approximately to 3 decimal place = 2.188
(b) Is John’s rent an outlier?
No it isn't
(c) How high would the rent have to be to qualify as an outlier?
John’s rent would have to be higher than $1235
A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $400 and the daily rate for each partner is $1000. The law firm assigned a total of 16 lawyers to the case and was able to charge the client $11800 per day for these lawyers' services. Write a system of equations that could be used to determine the number of associates assigned to the case and the number of partners assigned to the case. Define the variables that you use to write the system of equations.
Using system of linear equations, the law firm employed 7 associate and 9 partners
System of Linear EquationThe system of linear equations can be defined as a set of two or more linear equations that have the same variables. Linear equations can be said as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables.
In this question, we have to write out two equations and solve for the unknown variable.
let;
x = associatey = partnerx + y = 16 ...eq(i)
400x + 1000y = 11800 ...eq(ii)
From equation 1
x = 16 - y ...eq(iii)
Put eq(iii) into equation (ii)
400(16 - y) + 1000y = 11800
6400 - 400y + 1000y = 11800
6400 + 600y = 11800
600y = 11800 - 6400
600y = 5400
y = 5400 / 600
y = 9
Put y = 9 in equation (i)
x + 9 = 16
x = 16 - 9
x = 7
The firm has 7 associate and 9 partners
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What is the value of log Subscript 5 Baseline 125
3
5
15
25
Answer: 3
Step-by-step explanation:
First, we will write this logarithm in numeric values.
log Subscript 5 Baseline 125 ➜ \(\text{log}_5 125\)
Next, we will solve. This logarithm asks what power 5 needs to be raised to so it's equivalent to 125.
5 to the power of 3 is 125, so our answer is 3.
\(5^3=125\) \(5^3=5^x\)
\(\text{log}_5 125\) = 3
Solve the following absolute value equation
| x+5 | = 11
Answer:
X is 6 or -6
Step-by-step explanation:
In absolute value it makes everything positive
Answer:
x = 6
Step-by-step explanation:
Simplify: x + 5 = 11Subtract 5 from each side, so it now looks like this: x = 6I hope this helps!
A car is 170 inches long. A truck is 85% longer than the car.
How long is the truck
Answer:
Step-by-step explanation:
if the car is 170 inches long
the truck is 85% longer
(170*85)/100=144.50 longer
the truck is 170+144.50=314.50
Answer:
314.5 inches100-85=15
170*0.15=25.5
170-25.5=144.5
170+144.5=314.5 inches
The track coach at the local high school wanted to know what the average time was for the 100-yard dash for his track team. One day he timed them. He got the following times for the twelve members of the track team: 11, 10.9, 10.8, 9.9, 9.7, 9.8, 10.1, 10.2, 9.8, 10.6, 10.5, and 11.5 seconds. To the nearest tenth, what is the average length of time it takes a member of the track team to complete the 100-yard dash?
I'm mainly asking because I think I have the answer, but I'm not sure I did my math right, so I'm asking to see if someone else gets the same answer I got.
To find the average time for the 100-yard dash for the track team, we need to add up all of the times and divide by the total number of members. So, we have:
(11 + 10.9 + 10.8 + 9.9 + 9.7 + 9.8 + 10.1 + 10.2 + 9.8 + 10.6 + 10.5 + 11.5) / 12
= 125.3 / 12
= 10.44 seconds (rounded to the nearest tenth)
Therefore, the average length of time it takes a member of the track team to complete the 100-yard dash is 10.4 seconds (rounded to the nearest tenth).
What is the surface area of the triangular prism?
A.60 square feet
B.72 square feet
C.82 square feet
D.84 square feet
The money Sky makes from babysitting is directly proportional. After 4 hours, she makes $72. How much money would she make after 7 hours?
A $75
B $126
C $54
D $108
Answer:
B.
Step-by-step explanation:
divide the $72 by 4 hours to get a rate of $18 an hour
multiply the $18 by the number of hours you are trying to find (7) and get a total of $126
Answer:
B
Step-by-step explanation:
72/4=18, so 18+18+18=54, and then 72+54=126
How do I solve this arithmetic sequence?
Answer:
The 6ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 13
Common Difference = (d) = 4
Now, For 6ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₆ = 13 + (6 - 1) × 4
a₆ = 13 + 5 × 4
a₆ = 13 + 20
a₆ = 33
Thus, The 6ᵗʰ term of this sequence is 33
-TheUnknownScientist
Use the figure to find the Slant Height. 4 5 √(11)
Answer:
\(height = 4\)
Step-by-step explanation:
By the Pythagorean Theorem, we know:
\(a^2 + b^2 = c^2\)
Where \(c\) is the slope.
Here we see the following:
\(a = 3\\b = ???\\c = 5\)
Plug in the numbers:
\(3^2 + b^2 = 5^2\\9 + b^2 = 25\\b^2 = 16\\b = \sqrt{16}\\ b = 4\)
A school library had 66,500 books. 8,947 books were issued to the students
And 4033 books for the teachers. How many books are still in the library?
Answer:
53520
Step-by-step explanation:
Books left =total books -books included student
books left =66500-8947-4033
i.e.53580
Pls help me on this if u you don’t know or think you know don’t answer
Answer:
27:3
Step-by-step explanation:
multiply the 9 by 3 to get the first part
Explanation
To get that value, we multiply every number in the ratio 9:1 by 3
9*3 = 27
1*3 = 3
Therefore, the ratio 9:1 is equivalent to 27:3
a is equal to b squared plus four. Find a when b is five. ( a= b2 + 4 )
Answer:
29
Step-by-step explanation:
5^2 = 5x5
=25+4
=29
Answer:
29
Step-by-step explanation:
Here, b=5
Now a= b^2+4
= (5)^2+4
=25+4
=29 Ans
Find the amount accumulated after
investing a principal P for t years at an
interest rate compounded k times per year.
k = 365
P = $3,350 r = 6.2% t = 8
Hint: A = P (1+)kt
A = $[?]
Hence, after investing $3,350 for 8 years at a 6.2% interest rate, compounded 365 times a year, the total amount is roughly $4,865.25.
what is amount ?In mathematics, the term "amount" typically refers to a number or a thing's numerical value. It can stand in for anything that can be counted or measured, such as the amount of money in a checking account, the time needed to finish a task, or the concentration of a specific item in a solution. Several branches of mathematics, such as arithmetic, algebra, and calculus, all depend on the idea of amount.
given
With a principal of P and an interest rate of r compounded k times annually, the amount amassed after t years is calculated as follows:
\(A = P(1 + r/k)^(kt) (kt)\)
Putting in the specified values
P = $3,350
r = 6.2%
t = 8
k = 365
\(A = $3,350(1 + 0.062/365)^(365*8)\)
A ≈ $4,865.25 (rounded to the nearest cent) (rounded to the nearest cent)
Hence, after investing $3,350 for 8 years at a 6.2% interest rate, compounded 365 times a year, the total amount is roughly $4,865.25.
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Luc is investigating dilations of scale factor 2 of the line y = -4x +3. He claims that for some centers of dilation, the line will remain the same. Which centers of dilation could be used to support Luc's claim? Select ALL that apply.
Luc is correct in stating that the line will remain the same with certain dilation centers, such as the origin (0, 0) and the point (3, -4). These centers of dilation will cause a scale factor of 2, but the line will remain the same.
To check if Luc is correct, we can calculate the points of the dilation with scale factor 2.
For the origin (0, 0):
Point A: (x, y) = (0, 3)
Point B: (x, y) = (-4, -3)
Dilated Point A: (x, y) = (0, 6)
Dilated Point B: (x, y) = (-8, -6)
Equation of the dilated line: y = -4x + 6
This shows that the line is dilated with scale factor 2, but is the same line.
For the point (3, -4):
Point A: (x, y) = (3, -1)
Point B: (x, y) = (-1, -7)
Dilated Point A: (x, y) = (6, -2)
Dilated Point B: (x, y) = (-2, -14)
Equation of the dilated line: y = -4x + 3
This shows that the line is dilated with scale factor 2, but is the same line.
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the steepest angle at which unconsolidated granular material remains stable is ________.
The steepest angle at which unconsolidated granular material remains stable is known as the angle of repose.
The steepest angle at which unconsolidated granular material remains stable is known as the angle of repose. This angle varies depending on the properties of the granular material such as size, shape, and degree of consolidation. The angle of repose is a critical factor in many fields such as engineering, geology, and agriculture. For example, in civil engineering, the angle of repose is essential in designing stable slopes and retaining walls. In agriculture, it is crucial for understanding the flow and distribution of granular materials such as seeds, fertilizers, and grains. In general, the angle of repose for unconsolidated granular materials ranges from 25 to 45 degrees, but it can be higher for certain materials such as sand, or smaller for cohesive soils.
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The 25 members of a basketball team are trying to raise at least $1460. 00 to cover the traveling cost for a holiday tournament. If they have already raised $461. 00, at least how much should each member still raise, on average, to meet the goal?
Rounded to the nearest cent, each member should still raise approximately $39.96 on average to meet the goal.
To determine how much each member should still raise on average to meet the goal, we need to find the remaining amount that needs to be raised and divide it by the number of team members.
The total amount needed to meet the goal is $1460.00, and they have already raised $461.00. Therefore, the remaining amount to be raised is:
Remaining amount = Total amount needed - Amount already raised
Remaining amount = $1460.00 - $461.00
Remaining amount = $999.00
Now, to find out how much each member should raise on average, we divide the remaining amount by the number of team members:
Average amount per member = Remaining amount / Number of team members
Average amount per member = $999.00 / 25
Average amount per member = $39.96
Note: In practice, some members may raise more or less than the average amount, depending on their individual fundraising efforts and capabilities. The average amount per member serves as a guideline for the overall target, but individual contributions may vary.
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If DA is a diameter of oz and mZDZC = (2x), find mZCZB.
A. 22°
B. 58°
C. 690
D. 73°
Drako found an emerald in a cave at a depth between Negative one-half and Negative 1 and two-thirds meters. Which number could represent the depth at which the emerald is located?
Answer:
Negative 1 and three-fifths meters
Draw two distinct parallelograms, both with areas of 18 square units. The two parallelograms should not be identical copies of each other.
Answer:
you would need a square and a rectangle to equal that
Step-by-step explanation:
Your answer should be a polynomial in standard form.
(c^2 - 6)(2c^2 + 3c - 1)
Answer:
\( \boxed{ \bold{ { \boxed{ \sf{2 {c}^{4} + 3 {c}^{3} - {13c}^{2} - 18c + 6}}}}}\)
Step-by-step explanation:
\( \sf{( {c}^{2} - 6)(2 {c}^{2} + 3c - 1)}\)
Use distributive property
\({ \sf{ {c}^{2} (2 {c}^{2} + 3c - 1) - 6(2 {c}^{2} + 3c - 1)}}\)
\( \sf{2 {c}^{4} + 3 {c}^{3} - {c}^{2} - 12 {c}^{2} - 18c + 6}\)
Collect like terms
\( \sf{2 {c}^{4} + 3 {c}^{3} - 13 {c}^{2} - 18c + 6} \)
Hope I helped!
Best regards! :D
A clay specimen, 25 mm thick, has been tested in an oedometer apparatus with two way rainage, and it is observed that 50% of the consolidation settlement occurs in 1 hour. A ayer of the same clay is observed to settle 10 mm in 10 years and after many years to settle (total primary consolidation) by 35 mm. Determine the thickness of the clay layer if it drains only from upper surface
The thickness of the clay layer, which drains only from the upper surface, can be determined based on the consolidation settlement observations. With 50% of consolidation settlement occurring in 1 hour for a 25 mm thick specimen, and a total primary consolidation settlement of 35 mm occurring over many years, the thickness of the clay layer is approximately 87.5 mm.
The consolidation settlement of a clay specimen can be used to estimate the thickness of a clay layer that drains only from the upper surface. In this case, the observed settlement data provides valuable information.
Firstly, we know that 50% of the consolidation settlement occurs in 1 hour for a 25 mm thick clay specimen. This is an important parameter for calculating the coefficient of consolidation (Cv) using Terzaghi's theory. From the Cv value, we can estimate the time required for full consolidation settlement.
Secondly, we are given that the same clay settles 10 mm over 10 years and eventually settles a total of 35 mm over a longer period. This long-term settlement is known as the total primary consolidation settlement. By comparing this settlement value with the settlement data from the oedometer test, we can determine the thickness of the clay layer.
To calculate the thickness, we can use the concept of the consolidation settlement ratio. The ratio of the total primary consolidation settlement to the consolidation settlement at 50% completion is equal to the ratio of the total thickness to the thickness at 50% completion. Applying this ratio, we can determine that the thickness of the clay layer, which drains only from the upper surface, is approximately 87.5 mm.
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PLEASE HELP IM TIMED!! ILL MAKE YOU BRAINLIEST!!
Pls help me number 8 plsssss
Answer:
y=mx+b
m=2/3, b=-2
your answer is B. y=2/3x-2
Step-by-step explanation:
Hope this helps :)
students in an ap statistics class were asked how many hours of television they watch per week (including online streaming). this sample yielded an average of 4.73 hours, with a standard deviation of 4.11 hours. is the distribution of number of hours students watch television weekly symmetric? if not, what shape would you expect this distribution to have? explain your reasoning.
Based on the information provided, it is likely that the distribution of the number of hours students watch television weekly is not perfectly symmetric and might have a slight right-skew.
To determine if the distribution of the number of hours students watch television weekly is symmetric, we can consider the characteristics of the average and the standard deviation.
In a symmetric distribution, the mean (average) and the median are equal, and the data values are distributed evenly on both sides of the mean. Additionally, the standard deviation provides information about the spread of the data.
Given that the average number of hours is 4.73 hours, it suggests that the distribution is not perfectly symmetric. If the distribution were symmetric, we would expect the mean and the median to be very close or equal. However, we cannot conclude definitively without further information about the median.
To determine the shape of the distribution, we can look at the standard deviation of 4.11 hours. A larger standard deviation indicates a wider spread of data points around the mean.
Based on the information provided, it is likely that the distribution of the number of hours students watch television weekly is not perfectly symmetric and might have a slight right-skew. This means that there may be a concentration of data points towards the lower end of the distribution, with a tail extending towards higher values.
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25 Trent's watch runs at half the speed itshould. In other words, the hands on thewatch move only a half hour when an hourof time has really passed. If Trent sets hiswatch correctly at 8 am, what time will itshow when the real time is 10:30 am.?
Given that Trent's watch runs at half the speed it should run, this implies that
for every hour passed, his watch moves by half an hour.
Hence, for every half-hour passed, Trent's watch moves by 15 minutes.
Hence, when the real time is 10:30 am, Trent's watch will show 9:15 am.
y varies jointly as x and z. y = 36 when x= 3 and z=3. Find y when x=5 and z=2.y=
Where k is a constant
When y = 36 , x = 3 , z=3
\(\begin{gathered} k\text{ = }\frac{y}{xz} \\ k=\text{ }\frac{36}{3\times3}\text{ =}\frac{36}{9}\text{ = 4} \end{gathered}\)\(\begin{gathered} y\text{ = 4xz} \\ x=\text{ 5 , z = 2} \\ y\text{ = 4 }\times5\times2=40 \end{gathered}\)The value of y is 40
In the 2021 football season, the Riverside Red Dragon's manager gathered the points scored by the team during the regular season games. The following data set shows the values collected by the manager.
{13, 0, 20, 27, 27, 31, 13, 30, 30, 26, 20, 27, 30, 11, 30, 4}
Which of the following stem-and-leaf plots correctly graphs the data set?
Answer:
The required stem-and-leaf plot shown below that the majority of the scores fall in the 20s and 30s, with some scores in the teens and low 20s.
Step-by-step explanation:
A stem-and-leaf plot is a type of data display that helps to show the distribution of a set of numerical data here,
For the given data set:
Stem Leaf
0 4
1 1, 3, 3
2 0, 0, 0, 6, 7
3 0, 0, 0, 7
Thus the stem-and-leaf plot shows that the majority of the scores fall in the 20s and 30s, with some scores in the teens and low 20s. The plot makes it easier to see the distribution of the data, rather than just looking at the raw values.
Simplify the expression by combining like terms. -8y + 2 + 10y - 7
Please help
Answer:
2y - 5 (read below)
Step-by-step explanation:
-8y + 10y = 2y
2 + (-7) = -5
Your expression could/would be:
2y - 5.
Hope this helps!
Answer:
you can combine -8y and 10y since 8 is negative it would be =2y
an you can do 2+-7=-5