52s is the maximum time that she can take on her last lap and still make the team.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).
The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.
We need to find the maximum time (in seconds) that she can take on her last lap and still make the team
Let x be the maximum time (in seconds) that she can take on her last lap
60=(63+62+65+58+x)/5
300=63+62+65+58+x
300=248+x
Subtract 248 on both sides
300-248=x
x=52s
Hence, 52s is the maximum time that she can take on her last lap and still make the team.
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The temperature at a mountain cabin on
Saturday morning measured -12 degrees
Fahrenheit. The temperature decreased
another 8 degrees Saturday night. In
degrees Fahrenheit, what was the
temperature at the cabin Saturday night?
G-12 H 12
F -20
J -4
On Saturday night, the temperature at the mountain cabin decreased another 8 degrees from -12 degrees Fahrenheit, so the temperature at the cabin on Saturday night was -12 degrees - 8 degrees = -20 degrees Fahrenheit.
10. Matt has twice as many stickers as David. If David has d stickers, and Matt gives David 10 stickers, how many stickers does each have in terms of d?
Therefore, the number of stickers David has in terms of d is d+10 and the number of stickers Matt has in terms of d is 2d-10.
Define term.A term is a phrase or statement that is used to convey a certain meaning. Rap, punk, grunge, and heavy metal are examples of words used to characterize certain musical genres. To the majority of people, at least, "sweetie" is a word of affection.
What are phrases and statements?A phrase is a collection of words with significance but which is not usually a complete sentence. A set of words that form a sentence must have a topic.
We know that Matt has twice as many stickers as David, so if David has d stickers, then Matt has 2d stickers.
When Matt gives David 10 stickers, David has d+10 stickers and Matt has 2d-10 stickers.
So the number of stickers David has in terms of d is d+10 and the number of stickers Matt has in terms of d is 2d-10.
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Suppose a young couple deposits $1000 at the end of each quarter in an account that earns 7.6%, compounded quarterly, for a period of 8 years. After the 8 years, they start a family and find they can contribute only $200 per quarter. If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, how much will they have in the account (to help with their child’s college expenses)?
If they leave the money from the first 8 years in the account and continue to contribute $200 at the end of each quarter for the next 19 years, the future value in the account to help with their child's college is $215,293.42.
How the future value is computed?The future value for this investment is computed in two separate solutions.
We have used an online finance calculator to facilitate the process.
The future value denotes the present deposits compounded at an interest rate.
Initial Deposits:
N (# of periods) = 32 quarters (8 years x 4)
I/Y (Interest per year) = 7.6%
PV (Present Value) = $0
PMT (Periodic Deposit) = $1,000
Results:
FV = $43,489.87
Sum of all periodic payments = $32,000.00
Total Interest = $11,489.87
Subsequent Deposits:
N (# of periods) = 76 quarters (19 years x 4)
I/Y (Interest per year) = 7.6%
PV (Present Value) = $43,489.87
PMT (Periodic Payment) = $200
Results:
Future Value (FV) = $215,293.42
Sum of all periodic payments = $15,200 ($200 x 76 quarters)
Total Interest = $156,603.55
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Does anunify know this ?Simplify and round the answer to the nearest hundreths place
The simplified form of the expression [tex]\sqrt[5]{1215}[/tex] is [tex]3\sqrt[5]{5}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
Given, A radical [tex]\sqrt[5]{1215}[/tex].
Now we'll prime factor 1215.
= [tex]\sqrt[5]{5\times243}[/tex]
= [tex]\sqrt[5]{5\times3\times81}[/tex].
= [tex]\sqrt[5]{5\times3\times3\times3\times3\times3}[/tex].
= [tex]3\sqrt[5]{5}[/tex].
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"what is the median of the following values 9,9,2,8,11,6,4"
Answer: 8
Step-by-step explanation:
Arrange the data in ascending order, and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Rearrange 9, 9, 2, 8, 11, 6, 4 in ascending order:
2, 4, 6, 8, 9, 9, 11
The number eight appears to be in the very middle, therefore it is the median.
The Board of Education (DOE) claims that the average salary of substitute teachers in school
district in Nassau County, NY, is about $175 per day. A random sample of 6 school districts is
selected, and the daily salaries (in dollars) are collected into calculation with sample mean is $80
and sample standard deviation is 6.3. Calculate at α = .05 significance level whether the true
mean greater than $175.
Please explain step by step and as clear as possible
The null hypothesis is rejected.
The mean is not greater than $175.
What is the hypothesis?An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.
Given:
Sample size (n) = 6
Sample mean ([tex]\bar x[/tex]) = $80
Sample standard deviation(s)=6.3
Significance level(α)=0.05
We have to test the claim that the true mean greater than $175.
The null and alternative hypotheses:
H₀ : μ = 175
H₁ : μ > 175
Here, Population Standard deviation is unknown and sample size is less than 30.
So we will use t- distribution.
Test Statistic t,
t = ([tex]\bar x[/tex] - μ) / {s/√n}
t = (80−175) / (6.3 /√6)
t = (80−175) / (6.3 / 2.45)
t = − 95 / 2.57196423
t = −36.937
degree of freedom (df) = n−1
= 6−1
= 5
p-value at t = −36.937, df = 5 and α = 0.05
Absolute value of −36.937 = 36.937
Notice that 36.937 does not show up in the table, but it does fall between the two values 31.821 and 63.657.
So, p-value = 1
Since, p-value > α
That means, we fail to reject the null hypothesis (H₀).
Therefore, the true mean is not greater than $175.
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help me with this please
please, if you write an absurd anwser i will report it
a) The function is continuous in it's entire domain.
b) The increasing and decreasing intervals for the function are given as follows:
Increasing: (0,2).Decreasing: (2,10).What is the continuity concept?A function f(x) is continuous at x = a if it is defined at x = a, and the lateral limits are equal, that is:
[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]
In this problem, we have a piece-wise function which has the definition changing at x = 2, hence the continuity must be studied at x = 2.
The lateral limits for the function in this problem are defined as follows:
[tex]\lim_{x \rightarrow 2^-} A(x) = \lim_{x \rightarrow 2} x^2 + 2 = 2^2 + 2 = 6[/tex][tex]\lim_{x \rightarrow 2^+} A(x) = \lim_{x \rightarrow 2} \frac{-3x + 30}{4} = 0.25(-3(2) + 30) = 6[/tex]The second limit is also equals to the numeric value at x = 2, due to the equal sign in the definition, hence the function is continuous at x = 2 and for all other values in the domain.
The intervals of increase and decrease are given as follows:
Increasing: (0,2). -> y = x² increases for x > 0, the 2 changes just the range.Decreasing: (2,10). -> decreasing line, due to the negative slope.TranslationThe function for this problem is the piece-wise function A(x).
Item a asks if the function is continuous.
Item b asks when the function is increasing and when it is decreasing.
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how do you get 3/8 from 13/8
You can get 3/8 from 13/8 by subtraction. The solution is 10 / 8
How to get 3/8 from 13/8In order to get 3/8 from 13/8 we would have to carry out a subtraction of fractions.
That is we would have: 13/8 - 3/8
take the lcm of the denominator
[tex]\frac{13 - 3}{8}[/tex]
= 10 / 8
Hence when we take 3 / 8 from 13 / 8, the solution that we would have would be from subtraction. This is 10 / 8
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-50 POINTS- if you guess you’ll be reported.
If P=(4,7) Find D2 (P)
You will be reported if you guess. The result is -1 if P=(4,7)on D2 (P). Consequently, P=(4,7) in D2 reports -1. (P).
What is the value of D2 (P)?Given p= (4,7)
The answer to 4 p+7 is 4(-2)+7=-8+7=-1
The value of the denominator (d2), a weighting factor, is depends on the control chart's subgroup size, n. Based on a subgroup size of 5, the value of d2 in the case is 2.326. Following is a brief list of the d2 values for other subgroup sizes.
The table of constants below contains the d2 value, which is determined by the subgroup size. The average moving range, or MR-bar, will be used if your subgroup size is one. Model No. The average range is 0.220, and the mean is 0.8057 (X-bar). The D2 function gives the sample range of n independent, normally distributed random variables with the same mean and a standard deviation of 1 the anticipated value.
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The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -5 < x < -4?
Under the < is a _ thing
Answer: “Rate of change” just means “slope”. All of calculus is just ways to find the slope for curves. Find y at -5 and at -4 and calculate the slope.
Step-by-step explanation:
renee spent 1/8 of the day landscaping around the house. she spent 1/2 of that time pulling weeds. what fractions of the day did renee spend pulling the weed? PLS HELP IM HAVING A UNIT TEST ON MONDAY
Answer:
Renee spent 1/2 of the time she spent landscaping pulling weeds, which is 1/2 * 1/8 = 1/16 of the day. Therefore, Renee spent 1/16 of the day pulling weeds.
Which scale of measurement most reasonably applies to Confidence in Science?
The scale of measurement most reasonably applies to Confidence in Science is ordinal.
What are scales of measurement?The basic four scales used in measurements are continuous, discreet, ordinal and nominal. The continuous measurement scale is used to take the values in between a permitted range. For example weight, height, sales, rate etc.
In discreet measurements only take the whole numbers within a permitted range. For example, count of people, number of objects etc. Ordinary, logically ordered categorical values. For example, the size of clothes,
Nominal measurements include not logically ordered categorical values. For example, nationality, language etc. The scale of measurements most reasonably applies to Confidence in Science is ordinal.
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18.
M is the midpoint of WX and
YZ. Is YW = ZX? Why?
W
M
Lupe wrote two different fractions with the same denominator. both fractions were less than 1. can their sum equal? can their sum be greater than 1?
Answer: it depends on the number you took
Step-by-step explanation:
Which graph represents a function?
P
Simplify the following expression: -16 -8/2 + 25 ÷ 5 + 1
A. -18
B. 6
C. 10
D. -6
Audrey mowed 12 lawns in 9 hours. What was her rate of mowing in hours per lawn?
On solving the provided question, we got to know that - arbitrary number So the money she earns is equal to 10 times w plus 15, which can be expressed as: 10w + 15
what is arbitrary number?A number is considered arbitrary if its only unique characteristic is that it has a high value. You can think of them informally as the numbers that your opponent picked. Any number appears to be worthless intuitively.
Since the question allows us to use any number, we decide to make the money she makes from washing the car equal $10. We'll also assume that she gets paid $15 to wax the car.
So the money she earns is equal to 10 times w plus 15, which can be expressed as:
10w + 15
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13.A rectangle and a square have the same perimeter 120 cm. Find the side of the square. If the rectangle has a breadth 5cm less than that of the square. Find the breadth, length and area of the rectangle.
Answer:
Step-by-step explanation:
Given the following table, find the domain and range of the function.
A) domain: {2, 4, 5, 9}
B) range: {2, 4, 5, 9}
C) range: {-3, 1, 5, 7}
D) domain: {-3, 1, 5, 7}
The domain and range of the function on the table are the ones in options B and C.
Domain: {-3, 1, 5, 7}
Range: {2, 4, 5, 9}
How to find the domain and range of the function?For a function y = f(x), we define the domain as the set of the inputs, this is, the set of the possible values of x.
On the other hand, the range is the set of the outputs, this is, the set of the possible values of y.
Then the domain is just the set of the values of x on the table:
Domain: {-3, 1, 5, 7}
And the range is the set of the values of y on the table:
Range: {2, 4, 5, 9}
Then the correct options are C and B.
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carmela translates f (x) = x2 to create p (x). If p 9 (x) = f (x+3) -10 sketch the graph
The function p(x) = (x + 3)² is transformed 3 units left along the x-axis.
What are some rules of function transformations?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over the y-axis, (-x, y).
-f(x) = Reflection over the x-axis, (x, -y).
Given, A function f(x) = x².
Now, p(x) = f(x + 3).
p(x) = (x + 3)² and it is a transformed function to the parent function f(x).
Now, The function p(x) = (x + 3)² is transformed 3 units to the left along the x-axis.
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F(x)=2 sin (1/2x)+1
What is the midline of the functionless
Answer: 4
Step-by-step explanation:
Let me get to know you:)
A square board is attached to a wall. The board is divided into four squares and each square is painted either black or white. In how many ways can the board be painted if we can rotate the given board about its center? The answer is not 14 or 16.
The board can be rotated in 4 different ways (0, 90, 180, 270 degrees) and each of the four squares can be painted in 2 different ways (black or white). Since we can rotate the board, the order in which the squares are painted does not matter, so we must divide by the number of ways to rearrange the squares. So, there are (2^4) / 4 = 6 ways the board can be painted when we take rotations into account.
How to calculate the Rotation rate?To calculate turnover, it is necessary to consider the departures and additions of people to the company in the period. Calculating turnover is quite simple: you need to add the number of admissions and the number of dismissals, then just divide by 2 and then divide by the total number of employees within your company.
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15 minutes for 5 songs = minutes per song
Answer:
The average minutes per song would be 3.
Four student government officers want to go to the state convention. It will cost them $100 for registration, $375 for transportation and food, and $41 per person for the hotel. There is $425 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $5 per car, how many cars must they wash in order to have enough money to pay for the trip?
cars___?
Answer:
$100 + $375 + $41(4) = $516
$516 - $425 = $91
$91 / $5 = 18.2 cars
Therefore, the four student government officers must wash 18 cars in order to have enough money to pay for the trip.
Math Kangaroo Brazil 2020 Grade 7-8 Question. Please Solve both question 25 and 26
According to the information, Jonas realized that the four-digit sequence showing the distance traveled was the same sequence showing the time at 22h10min (question 25). Also, Lady Josephine removed 1/2 of impurities of the package of beans (question 26).
How to calculate at what time Jonas realized the sequences of distance, and time were the same (Question 25)?To calculate at what time Jonas realized the sequences of distance and time were the same we have to perform the following mathematics operation:
21h00min - 22h10min = 1h10min = 70 min1 min = 0.016h70 min = 1.16h1.16h + 21h = 22.1h = 22h10minHow to calculate what fraction of the total amount of impurities was removed from the package (question 26)?To calculate what fraction of the total amount of impurities was removed from package we have to perform the following mathematical operation:
Total impurities in package: 8%Impurities removed from the package: 4%8 / 2 = 4According to the above, we can infer that 4% of impurities equals 50% or 1/2 of the total impurities in the package.
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Find the value of x.
Answer:
76 don't know how to explain it
-2(x+5)=4 math homework help
Answer:
-7
Step-by-step explanation:
-2(x+5)=4
First, distributive property,
-2x-10=4
Add 10 to both sides,
-2x=14
Divide both sides by -2
-7
The volume of a cylinder is 1,200 yd^3 if it’s height is multiplied by 1/4, what will be the new volume of the cylinder?
Therefore , the solution of the given problem of volume comes out to be
you would then possess 1/9 of the volume.
What is volume used for?The term "volume" refers to how much general space an object occupies. Unlike mass, volume changes depending on the surroundings. The mass of a substance in a given volume is referred to as its "density." It describes the relationship between mass and volume.
Here,
A cylinder has a volume of V = r2h.
As a result, V = r2[(1/3)]h is obtained by multiplying h by 1/3.
The (1/3) can be moved to the front to obtain V = [(1/3)]r2h because you are free to multiplied in any ratio you choose.
Thus, you would receive one-third of the initial mass.
What would occur if you increased the radius by 1/3 in contrast to this?
Next, you would have
=> V = π[(1/3)r]2h
=> V = π(1/9)r2h
=> V = (1/9)πr2h
You would then possess 1/9 of the volume.
Therefore , the solution of the given problem of volume comes out to be
you would then possess 1/9 of the volume.
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Please help asap!
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
spinner divided evenly into eight sections with three colored blue, one colored orange, two colored purple, and two colored yellow
Determine P(not orange) if the spinner is spun once.
25%
12.5%
87.5%
37.5%
(no links)
Answer:
7/8 = 87.5%
Step-by-step explanation:
You have only one of eight (1/8) evenly divided sections that is orange. The rest is not orange (1 - 1/8 = 7/8).
Therefore, spinning once will yield 7/8 odds of not landing on orange, or 0.875 or 87.5%.
The probability of not getting orange is 87.5%. The correct option is C.
What is probability?Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favourable outcomes to all outcomes.
Probability = Number of favourable outcomes / Number of samples
Given that a spinner with repeated colours numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
You only have one of eight (1/8) evenly divided orange sections.
The rest is not orange,
P = (1 - 1/8
P = 7/8
P = 87.5%
Therefore, spinning once will yield 7/8 odds of not landing on orange or 0.875 or 87.5%.
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