The conclusion regarding the MAD is that the average of the absolute values of the daily difference between the actual and expected rainfall is of 1.3 inches.
What is the mean absolute deviation(MAD) of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.Hence, the mean absolute deviation of 1.3 inches means that the average of the absolute values of the daily difference between the actual rainfall and the expected rainfall is of 1.3 inches.
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Tito drives his car and covered a distance of 225 kilometers in 7.5 hours. What is the average in kilometers per hour?
A. 30 kph
B. 225 kph
C. 232.5 kph
D. 7.5
Step-by-step explanation:
I hope u are asking for average speed
average speed = total distance/total time
= 225/7.5
= 30 km/h or 30 km per hour
Answer:
As Per Provided Information
Distance covered by his car 225 KmTime taken by his car 7.5 hoursWe have to determine the average speed of his car in kilometres per hour .
Using Formulae
[tex] \boxed {\bf \: Average\: Speed \: = \cfrac{Total \: Distance \: Covered}{ Total \: Time \: Taken }}[/tex]
On substituting the value we get
[tex]\sf \qquad \: \longrightarrow\: Average\: Speed \: = \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = \cancel \cfrac{225}{7.5} \\ \\ \\ \sf \qquad \: \longrightarrow\: Average\: Speed = 30km {h}^{ - 1} [/tex]
Therefore,
Average speed of his car is 30 km/h .So your answer is A) 30 kph .
Question 2
Which function is equivalent to f(x) = -5(x + 4)2 + 8?
F(x)=-5x2-40x-32
F(x)=-5x2+8x+88
F(x)=-5x2-40-72
F(x)=-5x2+8x+24
( the 2 is squared)
Step-by-step explanation:
-5(x + 4)² + 8 = -5(x² + 8x + 16) + 8 =
= -5x² - 40x - 80 + 8 = -5x² - 40x - 72
so, the third answer option must be correct, but you made a mistake there and forgot the "x" as factor of -40.
a2 = 5 and d = 2. find a6
Julia and her children went into a restaurant where they sell hamburgers for $7 each and tacos for $2.50 each. Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether. If xx represents the number of hamburgers purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
115.50
Step-by-step explanation:
you times and divide the numbersto get to yy
The one possible solution can be yy = 10 and xx = 5 .
What is inequality?Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.
According to the question
Julia and her children went into a restaurant where ,
hamburgers (xx)= $7 each
tacos (yy) = $2.50 each.
Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether.
i.e, xx + yy ≥ 14 ----------------------------(1)
7xx + 2.5yy ≤ 60 ----------------------(2)
from equation (1) and (2) graph attached ...
solving both equation
multiplying equation (1) with -7
-7xx + -7yy ≤ -98 ----------------(3)
now adding equation (3) and (2)
-7xx + -7yy ≤ -98
7xx + 2.5yy ≤ 60
= - 4.5yy ≤ -38
= 4.5yy ≥38
= yy ≥ 8.4
now ,
yy xx
9 5.35
10 5
11 4.64
Hence, one possible solution can be yy = 10 and xx = 5
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# SPJ2
What is the domain of the relation, and is the relation a function?
{(0, 1), (2, 3), (5, 7)}
Answer:
Step-by-step explanation:
The domain is the set of x-values in the ordered pairs.
So it is {0, 2, 5}
Yes it is a function as for each x value there is 1 y-value (its a one-to-one function)
I have no idea what to do, help :’)
Answer:
x = 52
Step-by-step explanation:
I have included a chart to identify which angles are congruent (only alternate exterior/interior and corresponding). Basically if they are not alternate exterior/interior or corresponding, then they add up to = 180 degrees.
So since these angles are same side interior, they add up to = 180 degrees. We can write this as: A + B = 180
A + B = 180
2x + 76 = 180
2x = 104
x = 52
I hope this helps!
Answer: x=52
Step-by-step explanation:
uh i just knew
Help with this please
Answer:
f(4)=-10
x=0
Step-by-step explanation:
PLEASE HELP
A group of friends wants to go to the amusement park. They have $272 to spend on parking and admission. Parking is $7.75, and tickets cost $37.75 per person, including tax. How many people can go to the amusement park?
Answer:
7 people
Step-by-step explanation:
Given:
$272 total money for all friends
parking costs $7.75 for all
tickets cost $37.75 per person
Solution;
Take away the money for parking to see how much money we have left for tickets
272 - 7.72 = $ 264.25
We divide the $264.25 to the price of 1 ticket $37.75 to see how many tickets we have money for
264.25 / 37.75 = 7
If we have money for 7 tickets then 7 friends can go to the amusement park.
you roll a standard number cube 180 times. predict how many times you will roll a 2 or a 3
Answer:
60 times.
Step-by-step explanation:
Prob( of rolling a 2) = 1/6
Prob( of rolling a 3) = 1/6
So Prob( 2 or 3) = 1/6 + 1/6 = 1/3,
So the prediction is 1/3 * 180 = 60.
Use the GCF to factor 9x+54
9(x+6)
Solution:The GCF stands for Greatest Common Factor.We need to factor out the GCF of this binomial (expression with two terms)In order to factor out the GCF, we need to divide both terms by the GCF and place it outside the parentheses, like so:9x+549x÷9=x54÷9=6x+69(x+6)Hope it helps.
Do comment if you have any query.
Give correct answer with good explanation. Please and thank you very much
Answer:
Step-by-step explanation:
V = B×H ⇒ H = V ÷ B
H = 729 ÷ 108 = 6.75 inches
Answer:
h = 6.75 inches
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Ah ( A is the area of the base and h the height )
here V = 729 and A = 108 , then
108h = 729 ( divide both sides by 108 )
h = 6.75 inches
You want to get a pizza that costs $12.75. Tax
6%. How much will the pizza cost in all? Round
to the nearest cent.
Answer:
$13.52
Step-by-step explanation:
Since we know the tax rate is 6%, we can multiply by 12.75*6/100 to get how much the tax would be added to the total. We get 0.765. And now we add 0.765 and 12.75 to get 13.515. Since it's asking to round to the nearest cent, we get $13.52
what is the Median of the numbers 45, 40, 47, 50, 45, 49, 40, 46?
Answer: 45
Step-by-step explanation:
The Median is the Middle # in the set.
I hope this helps!
which of the best following point best represent 106
Answer:
b
Step-by-step explanation:
i hope this helped
1. What is the center of dilation used to dilate quadrilateral WXYZ to quadrilateral W'X'Y'Z'?
Answer:
The answer that makes sence to me is C (-3, 4)
Step-by-step explanation:
Help I need answer now
X=?
Answer:
0.6
Step-by-step explanation:
I used 30 60 90 triangle.
7x + 4 = 46 two step equation
7x + 4 = 46
7x = 46-4
7x = 42
x = 42/7
x = 6
THEREFORE, x = 6
HOPE IT HELPS :)
Expand & simplify
6
(
2
a
+
4
)
−
4
(
3
a
−
4
)
Answer:
6(2a+4)-4(3a-4)= (12a+24) +(-12a+16) = 40
Find the perimeter of the composite figure
Answer:
88 inches
Step-by-step explanation:
Divide the shape into 2 shapes and add all side lengths.
20+8+8+16+12+24=88
PLAS HELP!!
For multiple-choice: cubic, quadratic, linear, quintic, quartic
Answer:
cubic3 termsconstant: -2leading term: 1/4x³leading coefficient: 1/4Step-by-step explanation:
The degree of each term in a polynomial is the exponent of the variable. If there are multiple variables in a term, the degree is the sum of their exponents. The degree of the polynomial is the highest of the degrees of the terms.
__
The three terms of the polynomial given here have degrees of 2, 0, and 3. Since the highest degree is 3, the polynomial is 3rd-degree, or "cubic." The "leading term" is the one of highest degree, and its coefficient is the "leading coefficient." The constant term is the one with degree 0 (no variables).
"The expression represents a cubic polynomial with 3 terms. The constant is -2, the leading term is 1/4x³, and the leading coefficient is 1/4."
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
14/10 or 1 2/5
Step-by-step explanation:
Hey there!
In order to simplify this expression, we need to add the numerators and not the denominator since they are the same
14/10 is what you will get or this is also 1 2/5
Answer:
A.
[tex]1 \frac{2}{5} [/tex]
Explanation:
6/10 + 8/ 10 = 7/5
[tex] \frac{6}{10} + \frac{8}{10} = \frac{6 + 8}{10} = \frac{14}{10} = \frac{7}{5} = 1 \frac{2}{5} [/tex]
hope this helps.
What is the square root of -2i?
Answer:
1-i and -1+i
Step-by-step explanation:
We are to find the square roots of [tex]z=0-2i[/tex]. First, convert from Cartesian to polar form:
[tex]r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2[/tex]
[tex]\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}[/tex]
[tex]z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})[/tex]
Next, use the formula [tex]\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr][/tex] where [tex]\displaystyle k=0,1,2,...\:,n-1[/tex] to find the square roots:
When k=1
[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr][/tex]
[tex]\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr][/tex]
[tex]\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)[/tex]
[tex]\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i[/tex]
When k=0
[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr][/tex]
[tex]\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)[/tex]
[tex]\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i[/tex]
Thus, the square roots of -2i are 1-i and -1+i
I need this answered I’ll give brainliest
Answer:
x = 52
Step-by-step explanation:
49° is the vertical angle of the triangle.
-> measure of other angle of triangle = 49°
By exterior angle theorem:
x° + 49° = 101°
-> x° = 101° - 49°
-> x° = 52°
-> x = 52
PLEASE HELP< sorry for all the questions im asking i just dont want to confuse anyone with a bunch of pictures...
(1+i)^2(x+yi)=4+5i
Solve for x and y
Answer:
x = 5/2
y = -2
Step-by-step explanation:
(1+i)² (x+yi) = 4+5i
(1+2i+i²)(x+yi) = 4+5i
(1+2i-1)(x+yi) = 4+5i
2i(x+yi) = 4+5i
2i²y + 2xi = 4+5i
-2y + 2xi = 4 + 5i
By comparing both sides,
-2y = 4
y = -2,
2x = 5
x = 5/2
you spin a spinner with 3 equal sections labeled blue, red, and purple, and it lands on purple. what is the theoretical probability?
On the same coordinate plane, mark all points (x, y) that satisfy each rule.
y = -3 -X
The rule y = -3 - x is an illustration of a linear equation
The points on the coordinate plane with the rule y = -3 - x are (0,-3), (1,-4) and (2,-5)
How to determine the points?The rule of the points is given as:
y = -3 - x
When x = 0, we have:
y = -3 - 0
y = -3
When x = 1, we have:
y = -3 - 1
y = -4
When x = 2, we have:
y = -3 - 2
y = -5
From the above computation, we have the following points
(0,-3), (1,-4) and (2,-5)
Hence, the points on the coordinate plane with the rule y = -3 - x are (0,-3), (1,-4) and (2,-5)
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What are the roots of the quadratic equation y=x^2 -10x +125?
Answer:
A is the correct answer
Step-by-step explanation:
Answer:
[tex]x=5\pm10i[/tex]
Step-by-step explanation:
[tex]y=x^2-10x+125\\\\0=x^2-10x+125\\\\0-100=x^2-10x+125-100\\\\-100=x^2-10x+25\\\\-100=(x-5)^2\\\\\pm10i=x-5\\\\5\pm10i=x\\\\x=5\pm10i[/tex]
can someone please help me out with these three questions please please please!!!!
Answer: 4. A 5. C 6. D
Step-by-step explanation: that’s it!!!!!!!!!!
Gabby has a goal to finish covering the field before 12 hours have
elapsed. She will use any remaining time to water the field. After 1 hour
has elapsed, she has covered 4,000 square yards of the field.
Explain why Gabby will be able to meet her goal by working at this rate. As
part of the explanation, determine the amount of time, in hours, Gabby
will have to water the field.