The correct answer is option D: Chen read for less time because an hour a day for 7 days is equal to 210 minutes.
To determine the correct answer, we need to use the unitary method. This method involves converting the units of measurement into a common unit and then comparing them.
In this case, we need to convert hours into minutes to compare the reading time of Sierra and Chen.
An hour is equal to 60 minutes. Therefore, 1 hour a day for 7 days is equal to
=> 60 minutes * 7 days = 420 minutes.
However, we need to divide this number by 2 because Chen only read for half an hour a day. Hence, Chen read for 210 minutes
=> (420 minutes / 2).
Now that we have both the reading times in minutes, we can compare them. Sierra read for 220 minutes while Chen read for 210 minutes. As 220 > 210, it is clear that Sierra read for more time.
In conclusion, option D is the correct answer as Chen read for less time because an hour a day for 7 days is equal to 210 minutes. The unitary method is useful in comparing measurements with different units and it provides us with accurate results.
Complete Question:
Sierra read for 220 minutes in 1week. Chen read for an hour a day for 7 days. Which explanation is correct?
A. Sierra read for more time because 220 is greater than
B. Sierra read for less time because minutes are less than hours.
C. They read for the same amount of time because 1 week is equal to 7 days.
D. Chen read for less time because an hour a day for 7 days is equal to 210 minutes.
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a knowledge of statistics helps us make decisions based on ______ evidence.
Empirical, A knowledge of statistics is essential for anyone who wants to make informed decisions based on empirical evidence.
A knowledge of statistics helps us make decisions based on empirical evidence. Empirical evidence is data that has been collected through observation and experimentation, and statistics is a method for analyzing and interpreting this data. By using statistical tools and techniques, we can draw conclusions from empirical evidence and make informed decisions based on this information.
Statistics plays a crucial role in modern society, from medicine and public policy to business and finance. A knowledge of statistics enables individuals to understand and analyze data, to make informed decisions based on empirical evidence, and to communicate findings to others. Statistics helps us to quantify uncertainty and variability, to identify patterns and trends, and to make predictions based on past data. By using statistical methods, we can determine the probability of certain outcomes, assess risks and benefits, and evaluate the effectiveness of interventions or policies. For example, in medical research, statistics is used to test the effectiveness of new treatments or therapies, to determine the safety of drugs, and to identify risk factors for diseases. In public policy, statistics is used to analyze demographic trends, to assess the impact of social programs, and to inform decision-making around issues such as climate change or public health.
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From his house, Tristan could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. It is 6 miles from Tristan's house to his parents' house and a straight-line distance of 6.4 miles from his parents' house to his grandparents' house. How far is Tristan from his grandparents' house? If necessary, round to the nearest tenth.
Answer:
\(TG = 2.2\)
Step-by-step explanation:
Represent Tristan's house with T, his grandparent's with G and his parents with P.
Such that:
\(TP = 6\)
\(GP = 6.4\)
Required
Find TG
To solve this, we make use of Pythagoras Theorem which is represented as:
\(GP^2 = TP^2 + TG^2\)
Substitute values for GP and TP
\(6.4^2 = 6^2 + TG^2\)
\(40.96 = 36 + TG^2\)
Collect Like Terms
\(TG^2 = 40.96 - 36\)
\(TG^2 = 4.96\)
\(TG = \sqrt{4.96\)
\(TG = 2.2\) --- Approximated
Hence, the distance between Tristan ans his grandparent's house is 2.2 miles
The cost of a cell phone plan includes a service fee and a fee for each minute, t, of all time used. The total cost per month is modeled by P(t) = 0.12 + 25.
What is the service fee?
O $25.12
O $25.00
$0.88
$0.12
Answer:
25.12
Step-by-step explanation:
Toilet rolls come in packs of 4 and 9
The 4 pack is priced at £2.04
The 9 pack is priced at £4.68
By calculating the price per toilet roll, determine which pack is better value . Show your working
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
The 4 pack is priced at £2.04
cost of one pack will be equal total price divided by no. of roll in one pack
cost of one pack will be £2.04 /4 = £0.51
The 9 pack is priced at £4.68
cost of one pack will be £4.68 /9 = £0.52
As price per toilet roll for 4 pack is £0.51 which is less than
price per toilet roll for 9 pack which is £0.52
4 pack priced at £2.04 is better value deal.
Answer:
4 pack priced at £2.04 is better value deal.
Step-by-step explanation:
If f(x)=2x^2+x-3, which equation can be used to determine the zeros of the function?
A) 0=(2x-3)(x+1)
B) 0=(2x+3)(x-1)
C) 0=2x(x+1)-3
D) 0=2x(x-1)-3(x+1)
Answer:
B) 0=(2x+3)(x-1)
Step-by-step explanation:
factor the equation f(x) = 2x² + x - 3
=> f(x) = (2x + 3)(x - 1)
Option B is correct.
What is zeros of a function?A zero of a function is a member of x of the domain of f such that f(x) vanishes at x, that is the function f attains the value of 0 at x.
According to the given question
we have a function
\(f(x)=2x^{2} +x-3\)
\(f(x)=2x^{2} + 3x-2x-3\)
\(f(x)=2x^{2} -2x+3x-3\)
\(f(x)=2x(x-1)+3(x-1)\)
\(f(x)=(2x+3)(x-1)\)
for finding the zeros of f(x), substitute f(x)=0
\((2x+3)(x-1)=0\\\)
⇒ x=\(\frac{-3}{2}\) and x=1
Hence, option B is used for finding the zeros of the given function f(x).
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2. A used PlayStation 4 is on sale for 10% off the regular price of $160.00. If the sales tax rate is 9%, how much would I pay for the DVD player?
Answer:
$156.96
Step-by-step explanation:
10% off of $160.00 would be $16.00 so minus that by $160.00. Which then equals $144.00. Sales tax should be reduced to the sale price. So that would make it 144 times 0.09 for the 9% which equals $12.96 then add the $144.00 which then makes it $156.96. Hope it helps and I'm not wrong about sales tax:)
Which of the following is equal to the expression listed below?
30 + 12
A.
6(5 + 2)
B.
(6 + 5)(6 + 2)
C.
(6 × 5)(6 × 2)
Answer:
[A] 6 (5+2)
Step-by-step explanation:
Solve each answer choice:
[A] 6(5+2) = 30+12 [True] [6*5=30 and 6*2 = 12.. So 30+12]
[B] (6+5)(6+2)=11 * 8 [False] [6+5 =11 and 6+2=8.. 11*8]
[C] (6*5) (6*2)= 30 * 12 [False] [6*5=30 and 6*2 = 12]
Hence, [A] 6(5+2) is the correct Answer .
We can also find the answer by finding all the solutions:
30 + 12 = 42
[A] 6(5+2) = 30+12 = 42
[B] (6+5)(6+2)=11 * 8=88
[C] (6*5) (6*2)= 30 * 12 = 360
[RevyBreeze]
The goal of a good budget plan is to save at least
a) 5% of your monthly earnings
b) 10% of your monthly earnings
c) 20% of your monthly earnings
Answer:
10% of your monthly earning
Which expressions represent the volume of the cube?
Answer:
1st, 2nd, 4th
Step-by-step explanation:
Lengthxwidthxheight
Since it is a cube, all 3 are the same
So,
3/4x3/4x3/4 OR 3^3/4^3 OR (3/4)^3
27/64ft^3
The school play was last night and a total of 100 tickets were sold.
Each student ticket was $2 and each adult ticket was $4, and a total of $290 was collected in admissions. How many student tickets were sold?
Group of answer choices
55 student tickets
45 student tickets
90 student tickets
8 student tickets
51 student tickets
49 student tickets
Answer:
The answer will be 55 student tickets
Step-by-step explanation:
10x = 2x -8 what is this answer
Answer:
x=-1
Step-by-step explanation:
Answer:
10x = 2x -8
-2x -2x
8x = -8
divide by 8
x = -1
Which of the binomials below is a factor of this expression?
25x^2-4y^2z^2
answer- 5x-2yz
The binomials 5x-2yz are a factor of this expression
25x^2-4y^2z^2
This is further explained below.
What are binomials?Generally, A binomial is a kind of polynomial that is used in algebra and is defined as the sum of two terms, each of which is a monomial.
After monomials, this is the sort of sparse polynomial that is the easiest to understand.
The word "binomial" refers to an algebraic expression that consists of just two different terms. This is a polynomial with two terms.
25 x^2-4 y^2 z^2
Rewrite 25 x^2 as (5 x)^2.
(5 x)^2-4 y^2 z^2
Rewrite 4 y^2 z^2 as (2 y z)^2.
(5 x)^2-(2 y z)^2
Since both terms are perfect squares, factor using the difference of squares formula, a^2-b^2=(a+b)(a-b) where a=5 x and b=2 y z.
(5 x+2 y z)(5 x-(2 y z))
Simplify.
(5 x+2 y z)(5 x-2 y z)
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What is 325.623 rounded to the nearest tenth
Answer: 325.6
Step-by-step explanation: 6 is in the tenth place and you don't round up the two
How many cars can be washed with 1 gallon of soap if 100oz Can
wash 11 cars?
Answer: 14 cars.
Step-by-step explanation:
A car can be washed with : 100/11 oz.
1 gallon=128 oz.
Hence,
\(\displaystyle\\\frac{128}{\frac{100}{11} } =\frac{128*11}{100} =\frac{1408}{100} =14,08\ (cars).\)
The total number of cars that can be washed with 1 gallon of soap if 100oz Can wash 11 cars would be given as 14 cars
How to solve for the total numberTo determine how many cars can be washed with 1 gallon of soap, we need to find the ratio between the amount of soap used and the number of cars washed.
Given that 100 oz of soap can wash 11 cars, we can set up the following proportion:
100 oz soap / 11 cars = 1 gallon soap / x cars
I gallon is given as 128 OZ
Such that we have
128 x 100 / 11
= 14.08 cars
Hence the total number of cars would be given as 14 cars
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Arrange the numbers in descending order. 459210,124580,306396
Answer:
124580 > 306396 > 459210
Step-by-step explanation:
Will mark brainliest! Please help me answer this question!
Answer:
I don't see the question but okay can u mark meh.
Step-by-step explanation:
Please answer this math problem... I will mark you brainliest
Answer:
( 5, 3 )
Step-by-step explanation:
I imagine you plug in the given ordered pair to the rule:
( x - 3, y + 9 )
( 2 - 3, 12 + 9 ) ( - is the same as going to the right, so it basically adds ).
( + is the same as going to the right, so it basically subtracts ).
( 5, 3 )
Hopefully this helped!
Brainliest please?
in march, Arnold finds a guitar with a price of $650 that he wants to buy, but he only has $300 saved. In September, Arnold has 75% more money saved, and the guitar is on sale for a 30% discount off the original price. The sales tax is 5% of the sale price. Does Arnold have enough money to buy the guitar in September? justify your answer
Answer:
Yew, he has enough money to buy the guitar in september.
Step-by-step explanation:
300*0.75=225 300+225=525
650*0.35=195 650-195=455
sales tax: 455*0.05=22.75 455+22.75=477.75
Yes , Arnold have enough savings to buy the guitar
Savings amount of Arnold is $ 525 and the price of the guitar is $ 477.75
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 original price of the guitar be = $ 650
Let the initial savings of Arnold be = $ 300
Now , Arnold saved 75 % more than what he actually had
And , the equation will be
So , the new savings of Arnold is = 300 + ( 75/100 ) x 300
The new savings of Arnold is = 300 + ( 300 x 0.75 )
The new savings of Arnold is = 300 + 225
The new savings of Arnold is = $ 525
Now , the price of the guitar is discounted by = 30 %
And , the equation will be
So , the new price of the guitar after discount is = 650 - ( 30/100 ) x 650
The new price of the guitar after discount is = 650 - ( 650 x 0.30 )
The new price of the guitar after discount is = 650 - 195
The new price of the guitar after discount is = $ 455
Now , A sales tax of 5 % is priced on the guitar
And , the equation will be
So , the sale price of the guitar is = 455 + ( 5/100 ) x 455
The sale price of the guitar is = 455 + 22.75
The sale price of the guitar is = $ 477.75
Now , the new savings of Arnold is greater than the sale price of the guitar
$ 525 > $ 477.75
Therefore , Arnold have enough savings to buy the guitar
Hence , Yes , Arnold have enough savings to buy the guitar
Savings amount of Arnold is $ 525 and the price of the guitar is $ 477.75
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An area of Grassland contains 22 lions
use the line of best fit to predict how many hyenas it would contain.
Answer:40
Step-by-step explanation:
look at the number of lions at 22 which should be one line after 20, if you use a ruler to connect that line to the best-fit green line you can find the answer 40 as the side on the number of hyenas (number 40) is directly aligned with the part of the green line you previously connectec
Which interval contains a local minimum for the graphed function?
[-4, -2.5]
[-2, -1]
[1, 2]
[2.5, 4]
PLEASE ANSWER FAST IT’S A TEST
look at graph
Answer:[2.5,4]. D
Step-by-step explanation:
A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table below: Male Female Type A 55 75 Type B 48 22 Compare P(Male | Type A) with P(Male or Type A).
Use Matlab to plot the function f(x) = - 4x² + sin(5x) and its derivative on the same plot for x between -10 and 10, in steps of 0.5 with appropriate legend and axis labels (use a dashed red line for f(x) and a solid blue line for its derivative). The derivative of f(x) is: (-4x² + sin(57x)) = - 8x + 5π cos(5x) dx Also, create an output file named "results.txt" and write x, f(x) and its derivative into the file. Use 2 decimal places. X f(x) df/dx
To plot the function f(x) = -4x^2 + sin(5x) and its derivative, and to save the results in a file named "results.txt" with 2 decimal places.
You can use the following MATLAB code:
```matlab
x = -10:0.5:10; % Generate x values
f = -4*x.^2 + sin(5*x); % Calculate f(x)
df_dx = -8*x + 5*pi*cos(5*x); % Calculate the derivative
% Saving results to file
output = [x', f', df_dx'];
dlmwrite('results.txt', output, 'delimiter', '\t', 'precision', '%.2f');
1. First, we define the range of x values using the vector `-10:0.5:10` to cover the desired interval with a step size of 0.5.
2. Next, we calculate the values of f(x) and its derivative using the defined mathematical expressions.
3. We then plot the function and its derivative using the `plot` function. The red dashed line represents f(x), and the blue solid line represents its derivative.
4. To save the results, we create a matrix `output` that concatenates the x values, f(x), and the derivative column-wise.
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Find the area under the standard normal curve to the left of
zequals=1.25.
a. 0.2318
b. 0.8944
c. 0.1056
d. 0.7682
The area under the standard normal curve to the left of z equals 1.25 is given as 0.8944 (rounded to four decimal places).
A standard normal distribution is a normal distribution that has a mean of zero and a standard deviation of one. Standardizing a normal distribution produces the standard normal distribution. Standardization involves subtracting the mean from each value in a distribution and then dividing it by the standard deviation. Z-score A z-score represents the number of standard deviations a given value is from the mean of a distribution.
The z-score is calculated by subtracting the mean of a distribution from a given value and then dividing it by the standard deviation of the distribution. A z-score of 1.25 implies that the value is 1.25 standard deviations above the mean. To find the area under the standard normal curve to the left of z = 1.25, we need to utilize the standard normal distribution table. The table provide proportion of the distribution that is below the mean up to a certain z-score value.
In the standard normal distribution table, we look for 1.2 in the left column and 0.05 in the top row, which corresponds to a z-score of 1.25. The intersection of the row and column provides the proportion of the distribution to the left of z equals 1.25.The value of 0.8944 is located at the intersection of row 1.2 and column 0.05, which means that 0.8944 of the distribution is below the value of z equals 1.25. Hence, option (b) 0.8944.
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plss hurry For a brainlist Please help:)
Determine the graph of the function f(x)=3^x−4
Answer:
It is D
Step-by-step explanation:
The equation of the horizontal asymptote is y = − 4 .Horizontal Asymptote: y = - 4
if you knew a student's overall act score, would you be more confident predicting that student's score on the algebra test or their satisfaction with first-semester classes?
Algebra test because the correlation is higher.
What does a statistical correlation mean?
A statistical metric known as correlation, which is given as a number, describes the strength and direction of a relationship between two or more variables.
Although there may be a correlation between two variables, this does not necessarily imply that the change in one variable is what led to the change in the values of the other variable.
Why correlation, you ask?
In common conversation, we use the word correlation to describe situations where two or more items seem to be connected.
In the field of analytics, correlations are certain numbers that are computed to express how closely related variables are to one another.
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Please help please please help me please
Answer:
12.68
Step-by-step explanation:
With reference angle 45°
perpendicular (p) = 9
hypotenuse (h) = c
Now
sin 45 ° = p/ h
0.71 = 9 / c
c = 9 / 0.71
c = 12.68
Hope it will help :)
Howard buys 5 pounds of apples at $2.50 per pound and 3 pounds of grapes at $1.50 per pound. Write an expression that shows the total cost of the fruit. Then, find the total cost.
Answer:
5($2.50)+3($1.50)=17
Step-by-step explanation:
you you just need to put up quantity by side of the bar pound it goes in the brackets that will give you the answer when you multiply that or something fruits value.
Answer:
Step-by-step explanation:
suppose the sequence is defined by the recurrence relation n, for n1, 2, 3,..., where a1. write out the first five terms of the sequence.
To find the first five terms of the sequence defined by the recurrence relation n, for n1, 2, 3,..., where a1, we can use the given formula to generate the terms one by one.
The first five terms of the sequence defined by the recurrence relation n, for n1, 2, 3,..., where a1, are:
a1 = 1, a2 = 2, a3 = 3, a4 = 4, a5 = 5.
Recurrence relations:
So, the first term of the sequence, a1, is simply given as a1 = 1, as per the recurrence relation.
To find the second term, we use the formula n, which means plugging in
n = 2: a2 = 2.
To find the third term, we use the formula again, but this time with
n = 3: a3 = 3.
We continue in this way, using the formula with n = 4 and n = 5 to find the fourth and fifth terms of the sequence, respectively:
a4 = 4
a5 = 5
Therefore, the first five terms of the sequence defined by the recurrence relation n, for n1, 2, 3,..., where a1, are:
a1 = 1, a2 = 2, a3 = 3, a4 = 4, a5 = 5.
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Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a 32-in. LCD TV t years after can be approximated by P(t)(), where t0 corresponds to .
Complete question :
Lower-than-expected demand for LCD TVs has spurred manufacturers to cut prices in recent years. The average price P of a 32-in. LCD TV t years after 2005 can be approximated by P(t) 1052(0.793), where t0 corresponds to 2005 a) What was the average price of an LCD TV in 2005? in 2009? in 2011?
Answer:
1052 ; 416.01 ; 261.61
Step-by-step explanation:
Given the price function :
P(t) = t0(0.793)^t
P(t) = 1052(0.793)^t
Price in 2005 = 1052
The average price of LCD in 2005 is t0
t - t0 = 2005 - 2005 = 0
P(0) = 1052(0.793)^0 ;
P(0) = 1052 * 1 =
Price in 2005 = 1052
Price in 2009 :
t = 2009 - 2005 = 4
P(t) = t0(0.793)^t
P(4) = 1052(0.793)^4
P(4) = 1052 * 0.39534 = 416.0145
Price of LCD in 2009 = 416.01
Price in 2011
t = 2011 - 2005 = 6
P(t) = t0(0.793)^t
P(6) = 1052(0.793)^6
P(6) = 1052 * 0.248679 = 261.6103
Price of LCD in 2009 = 261.61
Use the domain and range of each of the following relations to determine which is a function. a. {(7,5), (-6,0), (2,3)} b. {(7,5), (-6,0), (-6,-2), (2,3)} c. {7,-6,2,-7} d. {(7,5), (-6,0), (7,3)}
plz hurry its timed
Answer:
A. {(7,5), (-6,0), (2,3)}
Step-by-step explanation:
All of the x values do NOT repeat
I hope this helps!
pls ❤ and mark brainliest pls!