Answer:
a) Three ways of describing the representative or typical temperatures are the mean, median, and mode.
The mean = 5. This is the average temperature. It is calculated by adding up the varying temperatures each year and dividing by 10.
Median = 5.5. This is the middle value in the temperature table. There are two middle numbers (5 and 6) in the dataset. They are added and divided by two.
Mode = 6. This is the value that occurs more than other values in the dataset. The value 6 occurred twice more than other values.
b) The two ways of describing the variation of temperatures are the variance and the standard deviation.
Variance = 7. This is a measure of how spread out a data set is. It is calculated as the average squared deviation of each number from the mean of a dataset.
Standard Deviation = 2.65. The standard deviation measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Step-by-step explanation:
a) Data and Calculations:
Noon Temperatures (in degrees Celsius) in a particular Canadian City on Thanksgiving Day:
Year Degree Difference Squared
Celsius Difference
2002 0 -5 25
2003 3 -2 4
2004 6 1 1
2005 8 3 9
2006 2 -3 9
2007 9 4 16
2008 7 2 4
2009 6 1 1
2010 4 -1 1
2011 5 0 0
Sum 50 70
Mean = 5 (50/10)
Variance = 7 (70/10)
Standard Deviation = 2.65 (Square root of variance)
Median = 0, 2, 3, 4, 5, 6, 6, 7, 8, 9 (the values are arranged numerically.)
= (5 + 6)/2 = 5.5
Mode = 6 (occurred twice more than other values)
Mr. Quick bought a new computer system. The regular price was $1850, but he got a 15% discount. How much did he pay?
Answer:
the price Mr. Quick paid is=$1343
I think I can help you with this
you can easily solve this by using a rule of three
Step one
find the discount value if
$1580⇒ 100%
$x? ⇒ 15%
do the relation
the discount is $237
the price Mr. Quick paid is
the price Mr. Quick paid is=regular price - discount
the price Mr Quick paid is=$1580-$237
the price Mr Quick paid is=$1343
I hope it helps, Have a great day!!! :)
Step-by-step explanation:
A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water. Look at each drink mix. Does each drink mix follow the recipe?
4 cups of fruit juice and 10 cups of water. Yes. No.
0.5 cup of fruit juice and 1 cup of water. Yes. No.
1 cup of fruit juice and 2.5 cups of water. Yes. No.
7 cups of fruit juice and 17 cups of water. Yes. No.
Answer:
A. Yes
B. No
C. Yes
D. No
Step-by-step explanation:
A and C has an equivalent ratio.
B and D do not.
2:5 x2 = 4:10
Because if we multiply 2 on both the 2 cups of fruit juice and the 5 cups of water we'll get
4:10 which is the ratio of A
If we divide both the 2 cups of fruit juice and the 5 cups of water with 2 we'll get...
2 ÷ 2 = 1
5 ÷ 2 = 2.5
1:2.5 is the ratio for C.
So both C and A are correct
The rest, B and D, are not equivalent.
Please join help quickly
Answer:
A hope its right!!
Step-by-step explanation:
Have a good day!
Help!
I fallen and can’t get up.
boo hoo let me play you a sad song on the world's smallest violin
help me please if you can
Answer:
<E=<K
DE=JK
Step-by-step explanation:
The first two answers are correct because they are corresponding. One way of solving is going through each answer and comparing the measurements, if they are congruent then the statement is true, if not it is false.
1) <E=88 and <K=88, since 88=88 this is a true statement.
2) DE=14 mi and JK=14 mi, since 14=14 this is a true statement.
3) CD=14 mi and KL=25 mi, since 14[tex]\neq[/tex]25 this is a false statement.
4) EB=25 mi and MJ=14 mi, since 25[tex]\neq[/tex]14 this is a false statement.
Wilma has 28 coins, all nickels, and dimes worth $2.05. How many nickels does she have?
Answer:
15 nickels and 13 dimes
Step-by-step explanation:
5n + 10d = 205 cents
n + d = 28
n = 28-d
5(28-d) +10d = 205
140 -5d + 10d = 205
5d = 65
d = 13
n = 28-d = 28-13 = 15
5n = 5(15) = 75
10d = 10(13) = 130
75+130=205
Which graph represents the solution 2x - 5y <3
Answer:
There is no picture... But here is a representation of the inequality on a graph
The graph 2x - 5y < 3 cut the x-axis at the point (3,0) and the y-axis at the point (0,-0.6).
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relation between variables and the numbers.
Given inequality is 2x - 5y <3. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
When the inequality 2x - 5y < 3 is plotted on the graph it covers the region which is less than the line 2x - 5y < 3. The graph cut the x-axis at the point (3,0) and the y-axis at the point (0,-0.6).
The graph of the given inequality is attached with the answer below.
To know more about inequality follow
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2. For the competition, each band member needs $12 for food. To get to the competition, the school rents 3 buses that cost $580 each. Write and evaluate an expression for these costs.
Answer:
(75 × 12) + (3 × 580) = 2640
Step-by-step explanation:
What two numbers have a product of -36 and a sum of
5?
Answer: 9, -4
Step-by-step explanation:
We can write an equation:
xy=-36
x+y=5
Factors of -36 are: 1, -36, -1, 36, 2, -13, -2, 13, 4, -9, -9, 4, 6, -6
There are only 2 factors here that add up to -36: 9 and -4
A right triangle with base 3 cm and height 4 cm. What is the hypotenuse
Answer:5
Step-by-step explanation:
3^2+4^2=c^2
9+16=c^2
25=c^2
[tex]\sqrt{25}[/tex]=c
5=c
2m+3(m-8)=1 I need this answer pls
Answer:
m=5
Step-by-step explanation:
Katy invests £200 000 in a savings account for 4 years. The account pays compound interest
at a rate of 1.5 % per annum.
Calculate the total amount of interest Katy will get at the end of 4 years
Answer:
212272.71
Step-by-step explanation:
we have the following equation (for interesting that compound yearly)
PV(1+i)^n
200000(1+.015)^4
212272.71
The total amount of interest Katy will get at the end of 4 years is £12,272.71
Compound interestCompound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interestCompound interest refers to the phenomenon whereby the interest associated with a bank account, loan, or investment increases exponentially—rather than linearly—over time.Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periodsHow to solve this problem?The steps are as follow:
Given:p = £200 000
r = 1.5%
n = 4 years
Formula to find Amount (A) after 4 years will as follow:A = p(1+r/100)ⁿ
A = 200000(1+1.5/100)⁴
A = 212,272.71 £
The compound interest is given by:C.I. = A - p
C.I. = 212,272.71 - 200,000
C.I. = £12,272.71
So the total amount of interest Katy will get at the end of 4 years is £12,272.71
Learn more about Compound interest here:
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Jim drove a total distance of 137,702.4 on a race track. He drove 16 laps, where each lap was the same length. What was the length of each lap? Write your answer in miles.
Answer:
8606.4 Miles
Step-by-step explanation:
Since we know that each lap was the same length, we can do 137,702.4/16 and get 8606.4
Answer:
8606.4
Step-by-step explanation:
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession
and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment.
Compute the probability of each of the following events.
Event A: The sum is greater than 6.
Event B: The sum is an even number.
Round your answers to two decimal places.
I need the answers fast .
If you make x dollars per hour and you work 8 hours, how much money will you make?
Help pls thank you very much thank veryyy much
Answer:
I think it is A
Work Out The Area of this circle. Take n to be 3.142 and write down all the digits given by your calculator.
Answer: 153.958
Step-by-step explanation:
5.2-3 In a satellite radio system, 500 stations of stereo quality are to be multiplexed in one data stream. For each station, two (left and right) signal channels each of bandwidth 15, 000 Hz are sampled, quantized, and binary-coded into PCM signals. (a) If the maximum acceptable quantization error in sample amplitudes is 1% of the peak signal voltage, find the minimum number of bits needed for a uniform quantizer.
Answer:
the minimum number of bits needed for quantization is 7
Step-by-step explanation:
Given the data in the question;
if quantization is Δv, then the maximum quantization Error is Δv/2
now if we split up the whole range from -[tex]m_{p}[/tex] to [tex]m_{p}[/tex] evenly into L levels, so
Δv = [tex]2m_{p}[/tex] / L
Δv / 2 = [tex]m_{p}[/tex] / L
given that the error must be at most 1% of [tex]m_{p}[/tex],
1%[tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
1/100 × [tex]m_{p}[/tex] = [tex]m_{p}[/tex] / L
100 = L
now L must be a factor of 2 to be binary encoded,
so lets consider;
L = 128
2ⁿ = 128¹
2ⁿ = 2⁷
n = 7
Therefore, the minimum number of bits needed for quantization is 7
A tank is filled with 1000 liters of pure water. Brine containing 0.08 kg of salt per liter enters the tank at 6 liters per minute. Another brine solution containing 0.09 kg of salt per liter enters the tank at 5 liters per minute. The contents of the tank are kept thoroughly mixed and the drains from the tank at 11 liters per minute.
A. Determine the differential equation which describes this system. Let SG) denote the number of kg of salt in the tank after t minutes. Then ds/dt=_____.
B. Solve the differential equation for S(t).
Answer:
The answer is below
Step-by-step explanation:
Let s(t) represent the amount of salt in the tank at time t. Therefore:
ds / dt = (rate of salt flowing into the tank) - (rate of salt going out of the tank)
[tex]\frac{ds}{dt}=[(0.08\ kg/L*6\ L/min)+(0.09\ kg/L*5\ L/min)]-(\frac{s\ kg}{1000\ L}*11\ L/min ) \\\\\frac{ds}{dt}=(0.48\ kg/min+0.45\ kg/min)-(\frac{11s}{1000}\ kg/min )\\\\\frac{ds}{dt}=0.93\ kg/min-\frac{11s}{1000}\ kg/min \\\\\frac{ds}{dt}=\frac{930-11s}{1000}\ kg/min \\\\\frac{ds}{930-11s}=\frac{1}{1000}dt\\\\Integrating:\\\\\int\limits { \frac{ds}{930-11s}} \, ds=\int\limits {\frac{1}{1000}} \, dt\\\\-\frac{1}{11}ln(930-11s)=\frac{t}{1000}+C\\\\multiply\ through\ by\ -11:[/tex]
[tex]ln(930-11s)= - \frac{11t}{1000}+A\\\\Take \ exponential:\\\\930-11s=e^{ - \frac{11t}{1000}+A}\\\\930-11s=C_1e^{ - \frac{11t}{1000}}\\\\11s=930-C_1e^{ - \frac{11t}{1000}}\\\\s=\frac{930-C_1e^{ - \frac{11t}{1000}}}{11} \\\\To \ find\ C_1,s(0)=0.Hence:\\\\0=\frac{930-C_1e^{ - \frac{11(0)}{1000}}}{11} \\\\0=930-C_1\\\\C_1=930\\\\s(t)=\frac{930-930e^{ - \frac{11t}{1000}}}{11} \\\\s(t)=930(\frac{1-e^{ - \frac{11t}{1000}}}{11})[/tex]
A) So, the required value is [tex]1.01-\frac{11S}{1000}[/tex].
B) The required value is [tex]\frac{1010}{11} (1-e^{-11/1000t} )[/tex]
Differential Equation:A differential equation is an equation that contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable).
[tex]\frac{dy}{dx} =f(x)[/tex]
(A) Let [tex]S(t)[/tex] denotes the number of kg of the salt in the tank at the time [tex]t[/tex] minutes.
Then,
[tex]\frac{ds}{dt}=[/tex](rate of salt in to tank)-(rate of salt of tank)
[tex]\frac{ds}{dt}=\left ( 0.08\times 0.09\times 5 \right )-\left ( \frac{s\left (t\right )}{1000}\times 11 \right ) \\ \therefore \frac{ds}{dt}=1.01-\frac{11S}{1000}[/tex]
(B)
[tex]\frac{ds}{dt}=\frac{101}{100}-\frac{11S}{1000} \\ \Rightarrow \frac{ds}{dt}=\frac{1010-11S}{1000} \\ \Rightarrow \frac{ds}{1010-11S}=\frac{dt}{1000}[/tex]
Integrating we get,
[tex]-\frac{1}{11}I_n|1010-11S|=\frac{t}{1000}+In \ C_1 \\ \Rightarrow 1010-11S=C_1e^{-11/1000t} \\ S(t)=\frac{1010-C_1e^{-11/1000t}}{11}[/tex]
Initially, [tex]S(0)=0\\\Rightarrow C_1=1010[/tex]
Then the required solution is,
[tex]\therefore S(t)=\frac{1010}{11} (1-e^{-11/1000t} )[/tex]
Learn more about the topic of Differential Equation: https://brainly.com/question/24546081
150 adult complete a survey
80 are women
write the ratio men: women in it's simplest form.
9 1/4- 2 5/8 in simpilest form
Answer:19.625
Step-by-step explanation:
Solve for x. Round measures to the nearest tenth
solve for x, will give brainliest
Please answer ASAP!!!!!!!
Answer:
B is the correct answer
Step-by-step explanation:
just did this problem
a school is selling tickets to a play. on the first day they school sold 5 adult tickets and 10 student tickets for a total of $200. the school collected $105 on the second day by selling 2 adult tickets and 6 student tickets. what is the price of the adult ticket?
Answer:
Adult ticket is $15
Step-by-step explanation:
is each statement true or false. if false make correct statement
A.1/2=2/4
B.1/4=3/8
c.2/3=3/6
d.4/8=1/3
e.6/12=1/2
Answer:
Look below
Step-by-step explanation:
A is TRUE
B is FALSE : 1/4 = 2/8
C is FALSE : 2/3 = 4/6
D is FALSE : 4/8 = 1/2
E is TRUE
Hope this helps :)
Math nation. I need help, please.
Answer:
Step-by-step explanation:
Draw a picture! You get a right triangle with vertical leg = 17,000 ft, and you want to find the hypotenuse.
sin(21°) = 17,000/hypotenuse
hypotenuse = 17,000/sin(21°) = 47,437.3 ft
Help plssssssssssssss this counts for my grade
Answer:
8.04063*10^2
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer:
804.063
Step-by-step explanation:
8 x 100 = 800, 4 x 1 = 4, 6 x 1/100 = 0.060, and 3 x 1/1,000 = 0.003.
Please help thanks help help help
There can be more than 1 answer btw :)
Answer:
A and D
Step-by-step explanation: