Answer:
The median of the data in the table is 19.
Step-by-step explanation:
We are given the following data that shows the number of cars Jing sold each month last year below;
Number of cars Jing sold: 13, 16, 19, 20.5, 23.5
For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;
If n is odd, then the formula for calculating median is given by;Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
If n is even, then the formula for calculating median is given by;Median = [tex]\frac{(\frac{n}{2} )^{th} \text{ obs.} + (\frac{n}{2}+1 )^{th} \text{ obs.} }{2}[/tex]
Here, the number of observations in our data is odd, i.e. n = 5.
So, Median = [tex](\frac{n+1}{2} )^{th} \text{ obs.}[/tex]
= [tex](\frac{5+1}{2} )^{th} \text{ obs.}[/tex]
= [tex](\frac{6}{2} )^{th} \text{ obs.}[/tex]
= 3rd obs. = 19
Hence, the median of the data in the table is 19.
Find the Area of the figure below, composed of a rectangle and one semicircle, with another semicircle removed. Round to the nearest tenths place.
I need help, please
Answer:
so you multiply the 13 by 12. Then divid 12 by 2 to get 6 as the radius then use a calculator and type in 2(PIE SYMBOL) R. R=radius then whatever number you get cut it in half then subtract it from 13x12.
Geometry, please answer question ASAP
Answer: I think it would be C
Step-by-step explanation:
Answer:
the correct answer is C because its the only polygon with a caved in feature
Machine A and Machine B are each used to make 660 widgets. It takes Machine A x hours longer to produce 660 widgets than Machine B. Machine B produces y % more widgets per hour than Machine A. How long does it take Machine A to make 660 widgets?
Answer:
A. x + 100x/y
Step-by-step explanation:
Machine A= x hours longer to produce 660 widget than machine B
Machine B produces y% more widget per hour than machine A
let
b = Number of hours it takes Machine B to make 660 widgets.
Time taken for Machine A to make the 660 widgets = x + b.
Rate of Machine B = 660/b
Rate of Machine A = 660 / (x + b).
Machine B produces y% more widgets per hour than Machine A:
660 / (x + b)(1 + y/100) = 660/b
1 / (x + b)(1 + y/100) = 1 / b
Multiply both sides by (x+b)
1 + y/100 = (x + b)/b
1 + y/100 = x/b + 1
Subtract 1 from both sides
y/100 = x/b
Take the inverse of both sides
100/y = b/x
Make b the subject
100x/y = b
b=100x/y
The time taken for Machine A to make the 660 widgets is x + b = x + 100x/y.
Answer is A. x + 100x/y
If 4SINB=3SIN(2A+B) :
Prove that:7COT(A+B)=COTA
Answer:
Step-by-step explanation:
Given the expression 4sinB = 3sin(2A+B), we are to show that the expression 7cot(A+B) = cotA
Starting with the expression
4sinB= 3sin(2A+B)
Let us re write angle B = (A + B) - A
and 2A + B = (A + B) + A
Substituting the derived expression back into the original expression ww will have;
4Sin{(A + B) - A } = 3Sin{(A + B)+ A}
From trigonometry identity;
Sin(D+E) = SinDcosE + CosDSinE
Sin(D-E) = SinDcosE - CosDSinE
Applying this in the expression above;
4{Sin(A+B)CosA - Cos(A+B)SinA} = 3{Sin(A+B)CosA + Cos(A+B)sinA}
Open the bracket
4Sin(A+B)CosA - 4Cos(A+B)SinA = 3Sin(A+B)CosA + 3Cos(A+B)sinA
Collecting like terms
4Sin(A+B)CosA - 3Sin(A+B)cosA = 3Cos(A+B)sinA + 4Cos(A+B)sinA
Sin(A+B)CosA = 7Cos(A+B)sinA
Divide both sides by sinA
Sin(A+B)CosA/sinA= 7Cos(A+B)sinA/sinA
Since cosA/sinA = cotA, the expression becomes;
Sin(A+B)cotA = 7Cos(A+B)
Finally, divide both sides of the resulting equation by sin(A+B)
Sin(A+B)cotA/sin(A+B) = 7Cos(A+B)/sin(A+B)
CotA = 7cot(A+B) Proved!
Ashish is 175 cm tall his sister Annu is 8% shorter than him what is Annu's height
pls help
Answer:
8% out of 175 = ( 8 ÷ 100 ) × 175 = 14
175 cm - 14 = 161 cm
...............
In a local kickball league, the ratio of college graduates with a graduate degree to non-college graduates is 1:8, and the ratio of college graduates without a graduate degree to non-college graduates is 2:3. If one random college graduate is picked, what is the probability that they hold a graduate degree
Answer:
3 / 19
Step-by-step explanation:
Given the following :
ratio of college graduates with a graduate degree to non-college graduates = 1:8
ratio of college graduates without a graduate degree to non-college graduates is 2:3
If college graduate with a degree = A
College graduate without a degree = B
Non-college graduate = C
College graduate to non college graduate = A:C
College graduate without degree to non college graduate = B:C
A:C = 1:8 - - - (1) ; B:C = 2:3 - - - (2)
Combining the two ratios :
To do so : the proportion of non college graduate should be the same in both ratios
To do this, multiply (1) by 3 and (2) by 8
A:C = 3 : 24
B:C = 16 : 24
combining both, we have :
A:B:C = 3:16:24
If one random college graduate is picked, what is the probability that they hold a graduate degree?
Total proportion of college graduate : (college graduates with degree + college graduates without degree)
A + B = (3 + 16) = 19
Proportion who hold a graduate degree = A = 3
Probability = require outcome / Total possible outcomes
Thus :
P = A / (A +B)
= 3/19
Waldnice!
8. I have a maximum/minimum thermometer in my greenhouse. It records the highest and
lowest temperatures reached since the time I reset it. I reset it on Sunday when the
temperature was 4°C. Overnight the temperature fell by 5°C. Then during Monday it rose by
6°C. before falling by 10°C during the night. On Tuesday it rose by 4°C and fell by 2°C
overnight.
What were the maximum and minimum temperatures recorded when I looked at the
thermometer on Wednesday morning?
Answer:
The maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C
Step-by-step explanation:
The given parameters are;
A maximum and minimum thermometer is used which records maximum and minimum values as follows;
Initial temperature on Sunday at the time of resetting the thermometer = 4°C
Temperature drop overnight = 5°C, new low = 4 - 5 = -1°C,
Temperature rise on Monday = 6°C. New high = -1 + 6 = 5°C
Temperature drop on Monday night = 10°C. New low = 5 - 10 = -5°C
Temperature rise on Tuesday = 4°C = New high = 4 + - 5 = -1°C
Temperature drop on Tuesday night = 2°C. New low = -1 - 2 = -3°C
Therefore, the maximum and minimum temperatures recorded by the thermometer when checked by Wednesday morning are 5°C and -5°C.
6) By which least number should each of the following numbers be divided to make them perfect squares?
a) 3920
3920|2
1960|2
980|2
490|2
245|5
49|7
7|7
1
[tex]3920=2^4\cdot5\cdot7^2=(2^2)^2\cdot5\cdot7^2[/tex]
It's 5
Determine the derivative of f(x) = -5x+3x from first principles first Calculate
Answer:
The derivative of the function f(x) = -5x+3x is ----> -2
Step-by-step explanation:
Variance 0.7775
Find the standard deviation (hint: the standard deviation is the square root of the variance)
Answer:
0.88175960442
Step-by-step explanation:
The square root of 0.7775 is 0.88175960442
The value of standard deviation will be;
⇒ 0.8803
What is mean by square root of a number?
A square root of a number is a value that multiplied by itself gives the same number.
Given that;
The value of Variance = 0.7775
Now,
Since, The standard deviation is the square root of the variance.
Hence, We can formulate;
The value of standard deviation = √0.7775
= 0.8803
Thus, The value of standard deviation will be;
⇒ 0.8803
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the sum of three consecutive numbers is 276. What is the smallest of these intengers?
Answer:
91
Step-by-step explanation:
Let x be the smallest one:
● x is the first number
● x+1 is the second number
● x+2 is the third number
The sum of these numbers is 276
● x+(x+1)+(x+2) =276
● x+x+1+x+2 = 276
● 3x + 3 = 276
Substract 3 from both sides:
● 3x+3-3 = 276-3
● 3x = 273
Divide both sides by 3
● (3x)/3 = 273/3
● x = 91
So the smallest one is 91
Select all of the numbers that are correctly written in scientific notation. 10.8\times10^{-3}10.8×10 −3 0.54\times10^60.54×10 6 1\times10^{-4}1×10 −4 7.6\times10^{2.5}7.6×10 2.5 9.8\times10^59.8×10 5
Answer:
1×10⁻⁴ and 9.8×10⁵Step-by-step explanation:
The standard form of writing a scientific notation is expressed as [tex]a.b*10^n[/tex] where a, b and n are integers. Note that a, b and n cannot be a fraction. When writing in scientific notation, the value of 'a' must not be equal to zero and it must not be a 'two digits values' but just 'a digit value'.
Based on the above conclusion, the following numbers are correctly written in scientific notation.
1×10⁻⁴ and 9.8×10⁵
- The expression 10.8×10 −3 is not correctly written because the value of a on comparison is a two digits number i.e 10.
- Also, 0.54×10^6 is not correctly written because a is zero on comparison
- 7.6×10 2.5 is not correctly written because the power is a decimal number i.e 2.5. We must only have an integer as the degree.
What is the LCD of 1/2 and 3/5
Answer:
10
Step-by-step explanation:
How you find LCD (lowest common denominator) is that you have to look at the denominator (the bottom number) and try to find the lowest multiple between both of the numbers that is on the bottom (in this case it is 2 and 5). Sometimes you have to multiply both denominators together to get a LCD.
Example of multiplying two denominators together to get an LCD:
1/3 and 1/13 LCD is 39 because you multiply 3 and 13.
1/5 and 1/4 LCD is 20 because you multiply 5 and 4.
Please answer answer question
Answer:
The correct answer is
Step-by-step explanation:
11 square centimeters.
Hope this helps....
Have a nice day!!!!
Find the sum of the geometric sequence. 1, 1/2,1/4,1/8,1/16
Answer:
31/16
or
1 15/16
Step-by-step explanation:
1/8 = 2/16
1/4 = 4/16
1/2 = 8/16
1 = 16/16
then:
1 + 1/2 + 1/4 + 1/8 + 1/16
= 16/16 + 8/16 + 4/16 + 2/16 + 1/16
=(16+8+4+2+1)/16
= 31/16
31/16 = 16/16 + 15/16 = 1 + 15/16 = 1 15/16
How many feet did Courtney walk at the park if she loves walked 2.4 miles
Answer:
12672 feet
Step-by-step explanation:
1 mile=5280 feet
2.4 miles=5280*2.4=12672 feet
Answer:
Awnser: 12,672 feet
Step-by-step explanation:
1 mile is 5280 feet
2 miles is 10560 feet
.4 miles is 2112 feet
10560+2112 = 12,672 feet
solve for x 3(x+2) = 12
Answer:
x=2
Step-by-step explanation:
3(x+2) = 12
Divide by 3
3/3(x+2) = 12/3
x+2 = 4
Subtract 2 from each side
x+2-2 = 4-2
x =2
Answer:
The value of x is equal to 2.
Step-by-step explanation:
3(x + 2) = 12
Distribute 3 to (x + 2)
3x + 6 = 12
Subtract 6 from both sides of the equation.
3x = 6
Divide 3 on both sides of the equation.
x = 2
The value of x is 2
Re:A package of 8-count AA batteries costs $6.32. A package of 20-count AA batteries costs $16.00. Which statement about the unit prices is true?
A. The 8-count batteries have a lower rate unit price of $0.79 per battery
B. The 20-count pack of AA batteries has a lower unit price of $0.79 per battery.
C. The 20-count pack of AA batteries has a lower unit price of $0.80 per battery.
D. The 8-count pack of AA batteries has a lower unit price of $0.80 per battery.
Answer:
b
Step-by-step explanation:
Answer:
B. The 20-count pack of AA batteries has a lower unit price of $0.79 per battery.
Step-by-step explanation:
I just have an educated guess out of the info that you gave me.
Quadrilateral ABCD is inscribed in a circle. m∠A is 64°, m∠B is (6x + 4)°, and m∠C is (9x − 1)°. What is m∠D?
Answer:
m∠D = 97.34°
Step-by-step explanation:
Concept used"
sum of all angles of Quadrilateral is 360 degrees.
If any Quadrilateral is inscribed in circles then sum of opposite angle of that Quadrilateral is 180 degrees
________________________________________________
Given
Quadrilateral ABCD is inscribed in a circle
thus,
pair of opposite angles will be
m∠A and m∠C
m∠B and m∠D
thus,
m∠B + m∠D = 180
Thus,
m∠A + m∠C = 180
64+ (9x - 1) = 180
9x = 180 - 63 + 1 = 118
x = 118/9 = 13.11
thus, value of
m∠B is (6x + 4)°
m∠B = (6*13.11 + 4)° = 82.66°
m∠B + m∠D = 180
82.66 + m∠D = 180
m∠D = 180 - 82.66 = 97.34°
Thus,
m∠D is 97.34°
Can some one help me on this math question its confusing ill give brainly when right!!!
Answer:
s - t = 10 - -7 = 17
Step-by-step explanation:
I only see
s - t
nothing else is there to evaluate (or calculate).
s - t = 10 - -7 = 17 (as a double "-" always turns into a "+").
you really needed help with that ?
Answer:
= s-t
= 10 - (-7)
= 10 + 7
= 17
✌✌✌✌
A 4-pack of greeting cards costs $7.40. What is the unit price?pls answer fast
Answer:
The unit price of the problem is that one pack of greeting cards costs $1.85
Step-by-step explanation:
In order to find the unit rate, you have to divide the price by the quantity of the product. So, we will divide 7.40 by 4 so we can see the price of one pack.
7.40 ÷ 4 = 1.85
So, one pack of greeting cards costs $1.85 which is also our unit price.
Answer:
1.85
Step-by-step explanation:
First, divided the money ( $7.40 ) by the whole number ( 4 )
Then, you will receive your answer
Marcus played 3 different activities this week after school. The time he spent playing is described below. Swam forof an hour Played soccer for 9/10 2/3 2/4 of an hour Jogged forof an hour Which statement correctly compares the times of 2 of his activities?
Answer:
A
Step-by-step explanation:
We can find a common denominator for all of these fractions, compute, and then compare the values to find the right answer.
The product of (4z2 + 7z – 8) and (–z + 3) is –4z3 + z2 + z – 24.
The product of (4z² + 7z – 8) and (–z + 3) is -4z³ + 5z² + 29z - 24
How to find product of expressions(4z² + 7z – 8) and (–z + 3)
= -4z³+ 12z² - 7z² + 21z + 8z - 24
collect like terms= -4z³ + 5z² + 29z - 24
Therefore, the product of (4z² + 7z – 8) and (–z + 3) is -4z³ + 5z² + 29z - 24
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help me plsssssssssssssssss
Answer:
Step-by-step explanation:
I'm assuming you are trying to solve for x. I'm not sure, but that's what I figured out for the answer, so I'm gonna go with that. : )
We are looking for the value of x to make that statement true. It's going to take some trig manipulations, but if you are at this level of precalc, these identities should definitely NOT be new to you. We will begin by squaring both sides of that equation to get:
[tex]9sin^2(x)+3cos^2(x)=3[/tex]
From here we will factor out a 3 to get:
[tex]3(3sin^2x+cos^2x)=3[/tex] and then divide both sides by 3 to get:
[tex]3sin^2x+cos^2x=1[/tex]
Knowing the Pythagorean identity for the trig ratios, we will replace the sin-squared with what it is equal to in terms of cos-squared. If:
[tex]sin^2x+cos^2x=1[/tex], then
[tex]sin^2x=1-cos^2x[/tex]. Making that replacement gives us an equation with only one trig ratio in it, namely, cos:
[tex]3(1-cos^2x)+cos^2x=1[/tex] and distributing:
[tex]3-3cos^2x+cos^2x=1[/tex] which simplifies down to:
[tex]-2cos^2x=-2[/tex]. Divide both sides by -2 to get:
[tex]cos^2x=1[/tex]. When you take the square root of both sides you get:
[tex]cos(x)=1[/tex] and [tex]cos(x)=-1[/tex]. Here is where we will use the unit circle to see where the cos is 1 and where the cos is -1. You didn't give me an interval in which to work, so I am going to use from 0 degrees to 180. Within that interval, the cos is 1 at 0 degrees; within that interval, the cos is -1 at 180.
Now we need to plug those values into the original equation to see if they work. One of them may be extraneous. Plugging in 0 first:
3sin(0) + √3cos(0) = -√3. We need to see if this is true.
The sin of 0 is 0; the cos of 0 is 1, so
0 + (√3)(1) = -√3?
The left side is √3, not -√3, so 0 doesn't work. Let's try 180 now, shall we?
3sin(180) + √3cos(180) = -√3. We need to see if this is true.
The sin of 180 is 0; the cos of 180 is -1, so
0 + (√3)(-1) = -√3?
The left side is -√3 and so is the right side, so
x = 180°
!!! i only need part c !!! There are 30 homes in Neighborhood A. Each year, the number of homes increases by 20%. Just down the road, Neighborhood B has 45 homes. Each year, 3 new homes are built in Neighborhood B.
Part A: Write functions to represent the number of homes in Neighborhood A and Neighborhood B throughout the years. (4 points)
Part B: How many homes does Neighborhood A have after 5 years? How many does Neighborhood B have after the same number of years? (2 points)
Part C: After approximately how many years is the number of homes in Neighborhood A and Neighborhood B the same? Justify your answer mathematically. (4 points)
(10 points)
Let's make some smores! Chocolate bars come in packs of 8 and graham crackers come in packs of 12. What is the smallest number of chocolate bars and graham crackers we would need to buy so we don't have any left over?
Answer:
3 chocolate bars and 2 graham crackers
Step-by-step explanation:
8 times 3 equals 24
12 times 2 equals 24
PLZ HELP MEH:(
Mean, Median, and Mode
quenage
Find the mean, median, mode and range for each set of data.
1. 6. 9, 2, 4, 3, 6,5
2. 25, 18, 14, 27, 25, 14, 18, 25, 23
3. 453, 345, 543, 345, 534
4. 13, 6, 7, 13,6
5. 8, 2,9, 4, 6, 8,5
6. 13, 7, 17, 19, 7, 15, 11, 7
7. 1, 15, 9, 12, 18, 9, 5, 14, 7
8. 28, 32, 23, 43, 32, 27, 21, 34
9. 3,9, 4, 3, 9, 4, 2, 3, 8
10. 42, 35, 27, 42, 38, 35, 29, 24
11. 157, 124, 157, 124, 157, 139
Answer:
to find the mean add all numbers the divide by the ammount of numbers given
Step-by-step explanation:
ex: 1 , 2 , 3
add:
1+2+3=6
divide:
6 / 3 = 2
your mean is 2
all good?
Answer: to find the mean add up all numbers and divide them by the amount of numbers there and to find the median that is the middle number write it on a piece of paper and cross out the beginning and end till you get the to the middle that is your median
Step-by-step explanation:
Find the mode for the data set 18 24 24 24 25 37 37 46
Answer:
the mode would be 24
Step-by-step explanation:
it is what numbers appears most often
What is the sign of -xy? Will give the brainlest to who ever answers it
Answer:
positive
Step-by-step explanation:
X is positive since it is to the right of zero
Y is negative since it is to the left of zero
-xy
- ( +) ( -)
negative times positive times negative
negative times negative
positive
Point B lies between points A and C, and all three points lie on point AC, which of the following is not true? A. Point B lies on segment AC B. Point C lies on ray AB C. Point A lies on ray BC D. Point C lies on line AB
Answer:
C. Point A lies on ray BC
Step-by-step explanation:
Points A and C can be connected by a segment which would be a measure of the distance between the points. Locating point B between AC, makes the three points lying on segment AC.
A ray extends from a point to infinity, a line extend to infinity on both sides, while a segment is known to have two endpoints. Therefore, points AC are the end points of the segment AC, and point B between this segment confirms that point B lies on the segment AC. Therefore, Point A lies on ray BC is not correct.