Answer:
See belowStep-by-step explanation:
DefinitionsMean - average numberMedian - the middlepoint of the data setMode - the most repeated data in the setRange - the difference between the minimum and maximum values of data setFirst quartile - Q1, the median of the lower half of the data setThird quartile - Q3, the median of the upper half of the data setIQR - the difference of Q3 and Q1Step 1Put the data in the ascending order
a) 1, 3, 5, 6, 7, 7, 8, 9, 10, 11, 11, 12, 12, 14, 16, 16b) 5, 7, 7, 8, 9, 10, 10, 85, 90, 95, 105, 115Step 2Find all the numbers
a)
Mean = (1+3+ 5+ 6+ 7+ 7+ 8+ 9+ 10+ 11+ 11+ 12+ 12+ 14+ 16+ 16)/16 = 9.25Median = (9 + 10)/2 = 9.5Mode = noneRange = 16 - 1 = 15Q1 = (6 + 7)/2 = 6.5Q3 = 12IQR = 12 - 6.5 = 5.5The data is almost uniform as the mean and median are very closeb)
Mean = (5+ 7+ 7+ 8+ 9+ 10+ 10+ 85+ 90+ 95+ 105+ 115)/12 = 45.5Median = 10Mode = noneRange = 115 - 5 = 110Q1 = (7 + 8)/2 = 7.5Q3 = (90 + 95)/2 = 92.5IQR = 92.5 - 7.5 = 85The data is skewed left as the mean and median are too differenetOne of the lamp posts at a bank has a motion detector on it, and the equation (x 15)2 (y−12)2=25 describes the boundary within which motion can be sensed. what is the greatest distance, in feet, a person could be from the lamp and be detected? 5 ft 10 ft 50 ft 125 ft
5 feet is the greatest distance that a person could be from the lamp and be detected.
What is equation of circle?A circle is defined as round plane figure whose boundary (the circumference) consists of points equidistant from a fixed point (the center).
Since we have given that
The equation is :
[tex](x+15)^2+(y-12)^2=25[/tex]
It is the equation of circle in which center is (h,k) i.e. ( 15,12)
The general equation of circle is given by
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here, the radius 'r' is given by
[tex]r^2=25[/tex]
[tex]r=\sqrt{25[/tex]
[tex]r=5[/tex]
Here, the greatest distance a person could be from the lamp and be detected is represented by radius i.e. r = 5 feet.
Hence, 5 feet is the greatest distance that a person could be from the lamp and be detected.
To know more about Circle follow
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help me with this math question
[tex]\text{Given that,} \sin x = \dfrac{\sqrt 5}3,~~ \text{and}~~~ \sin y =\dfrac{\sqrt 2}2\\\\\\~~~~~~~\sin x = \dfrac{\sqrt 5}3\\\\\implies \sin^2 x = \dfrac 59\\\\\implies 1- \cos^2 x = \dfrac 59\\\\\implies \cos^2 x =1- \dfrac59 \\\\\implies \cos^2 x = \dfrac 49\\\\\implies \cos x = \dfrac 23~~~~~~~;[\text{In quadrant I, all ratios are positive.}]\\\\\\\\[/tex]
[tex]~~~~~~\sin y =\dfrac{\sqrt{2}}2\\ \\\implies \sin y = \dfrac 1{\sqrt 2}\\\\\implies \sin^2 y = \dfrac 12\\\\\implies 1-\cos^2 y = \dfrac 12\\\\\implies \cos^2 y = 1-\dfrac 12=\dfrac 12\\\\\implies \cos y = \dfrac 1{\sqrt 2}\\\\\\[/tex]
[tex]\text{Now,}\\\\\cos(x+y) = \cos x \cos y - \sin x \sin y\\\\\\~~~~~~~~~~~~~~=\dfrac 23 \cdot \dfrac 1{\sqrt 2}- \dfrac{\sqrt 5}3 \cdot \dfrac 1{\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{2- \sqrt 5}{3\sqrt 2}\\\\\\~~~~~~~~~~~~~~=\dfrac{\sqrt2\left(2 -\sqrt 5 \right)}6[/tex]
HELP ASAP
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9
Answer: The range of the function is all real numbers less than or equal to 9
Step-by-step explanation:
find the value of a and b if 1/(x^2)-3x-10=a/(x+2)+b/(x-5)
Answer:
Step-by-step explanation:
A net of a building block is shown below. What is the total surface area of the building block? *
Answer:
where
Step-by-step explanation:
The sum of consecutive positive integers is 93.find number
Find the area of this circle. Use 3.14 for π
Answer:
What circle?
Step-by-step explanation:
Please give more data
Answer:
I need a picture of the circle. you can't answer your question without an actual reference on what im solving
Step-by-step explanation:
May you help me please I am stressed and struggling
Answer:
The answer would be 2x+4+3x+4, 5x+8, and 2(2x+4) +x
Step-by-step explanation:
Step 1. Simplify 2x+4+3x+4 into 5x (combine the x's) +8 (combine the 2 4's)
Step 2. Simplify 2(2x+4)= x into 4x + 8 + x (<-- distribute the 2 to the 2x and 4) and 4x+x would equal 5x meaning 5x + 8.
I hope that this helps! :)
solve the following equation 6x+2+56=180
Answer:
20.3
Step-by-step explanation:
6x+2+56=180
-2 -56 -58
6x= 122
/6 /6
x=20.3
In situations where the employer and employee split the expense of a cell phone, should the employer be permitted to inspect the text messages?
Yes
No
Explain why you voted the way you did.
Answer:
Yes, because the employer purchased half the price of the cell phone. They can read the messages on their property.
Step-by-step explanation:
a) Factorise
x2 - 422
Answer:
(x + 42)(x - 42)
Step-by-step explanation:
Keep this in mind :
a² - b² = (a + b)(a - b)In this case,
a = xb = 42So, by factorizing,
x² - 42² = (x + 42)(x - 42)★a²-b²=(a+b)(a-b)
So
x²-42²a=x ,b=42
(x+42)(x-42)Done!
What is the measure of each angle in the circle?
60°
90°
30°
72°
Answer:
~Lord
The magnitude of the degree in a circle is. there are 5 angels in a circle
measure of each angle:
degree of circle ÷ numbers of angle360° ÷ 5 72°so measure of each angle is 72°
Step-by-step explanation:
As Per Provided Information
Number of sector in given circle is 5
As we know sum of all angles in a circle at centre is 360° .
Since number of sector is given and we are asked to find the measure of each angle in given circle .
[tex] \huge{ \boxed{\sf \: Angle_{(Circle)} = \cfrac{360}{ \: number \: of \: sector}}}[/tex]
Now put the value in above equation and we obtain
[tex] \longrightarrow\sf \: Angle_{(Circle)} = \cfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = \cancel \dfrac{360}{5} \\ \\ \\ \longrightarrow\sf \: Angle_{(Circle)} = {72}^{ \circ} [/tex]
Therefore,
Measure of each angle is 72° .Help
If my final answer to a question is 207 cubic feet (or 207 feet cubed), what am I measuring?
Height
Length
Area
Volume
Answer:
you would be measuring the volume
Step-by-step explanation:
because of the cubic feet keyword.
plus the question states that there is no height , length.
A store sells t-shirts and pants combinations for $50. If the pants cost $10 more
than the t-shirts, find the cost of each.
( help me please)
Answer:
the shirt should be $20 and the pants $30
Use the distributive property to simplify 3(4x+8).
a) 7x + 8
b) 7x + 24
c) 12x + 8
d) 12x + 24
Answer:
d) 12x + 24.
Step-by-step explanation:
3(4x+8)
= 3*4x + 3*8
= 12x + 24.
The Distributive Property states the following:-
[tex]\bigstar{\boxed{a(b+c)=ab+ac}}[/tex]
So we distribute a by multiplying it times b & c.
Now, let's simplify the given expression:-
[tex]\bigstar{\boxed{3(4x+8)=12x+24}}[/tex]
Hence, Option D) is correct!
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
help please. 50 pts and brainliest
Answer: I think you should go to the internet and try to get some ways to help yourself Try Math with Mr.J or Math Antics on Videos
Step-by-step explanation:
Someone deleted my first answer so I can not do anything about it sorry
Three sides of a quadrilateral are the same length, q. The length of the fourth side is 7 inches. The perimeter of the quadrilateral is 40 inches. Write an equation that represents the situation. PLEASE HURRY, I DONT HAVE MUCH TIME, WILL MARK BRAINLIEST.
Answer:
Equations: 40-7=33 and 33÷11=3
Step-by-step explanation:
40-7=33
Since there are 3 sides,(q) then you do 33 divided by 3=11.
Equations: 40-7=33
And
33÷11=3
In geometry, the base and _______ must make a right angle.
Answer:
hypotenuse(?)
Step-by-step explanation:
In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?
Answer: 244 degrees
Step-by-step explanation:
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
Which number line shows the solution set for Ip-31-97
-129
3
6 9 12
-12 -9
-6
-3
0
3
6
9 12
.
+
-12 -9
-6 3 0
+
9
12
o
3
-12 g 6
-3
0
12
Jody ships her sculptures in boxes with a length of 2 1/3 ft. a width of 2 ft., and a height of 1 2/3 ft. What is the maximum number of sculptures she can ship one box?
What is the slope of the line that passes through the points (1, -6) and (-2, –8)?
Write your answer in simplest form.
Answer:
Where the line is going
Step-by-step explanation:
Put attention next time
Ps. Just check if its on x or on the y
The slope of line that passes through the points (1, -6) and (-2, –8) is 2/3.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
y = mx + b
In which the coefficients are described as follows:
• The coefficient m is the slope of the function, representing the rate of change of the function.
• The coefficient b is the y-intercept of the function, representing the value of y when the function crosses the y-axis(x = 0).
Here the points are(1, -6) and (-2, –8) :
and it is to find the equation of line passing through these points :
Now using slope formula to find the slope of line m :
m = (y₂-y₁)/ (x₂-x₁)
m = (-8+6)/(-2-1)
m = -2/-3
m = 2/3
Therefore, the slope of line that passes through the points (1, -6) and (-2, –8) is 2/3.
More can be learned about linear functions :
brainly.com/question/24808124
#SPJ2
8664 ÷ 26 with remainder
Answer:
six hundred and sixty-two by twenty-six
Step-by-step explanation:
Answer:
333 remainder 6
Step-by-step explanation:
333 R 6
26/8664
- 78
086
- 78
084
-78
6
I struggled to show the work formatted how I would normally write this problem out, so I'll also talk through how I got the answer.
The first step in long division by hand is to take the number that is furthest to the left and seeing how many times your divisor (26) will go into it.
In this case the digit in the thoudands place (our furthest left) is 8. Obivously 26 does not fit into 8. So our answer will have a 0 in the thousands place and we move one place to the right.
We now have 86. 26 fits into 86 three times and leaves a difference of 8 remaining in the hundreds place, and we move the right again to the tens place.
We again have 86. 26 again fits in three time and leaves a difference of 8. As we move to the right to the ones place we are left with 84.
26 fits into 84 three times, but we have a difference of 6 this time.
We cannot continue as 26 will never fit into our remainder of 6.
We had a 0 in the thousands place, a 3 in the hundreds place, a 3 in the tens place and a 3 in the ones palce with 6 left over.
So the final answer is 333 remainder 6
PLEASE HELP IF ABLE TO xx
Answer:
y = 120°
Step-by-step explanation:
If AC ≅ AD and BC ≅ BD then the shape of the figure is a kite.
Therefore, ∠D ≅ ∠C
Sum of interior angles in a kite = 360°
⇒ ∠A + ∠B + ∠C + ∠D = 360°
⇒ 120° + ∠B + 100° + 100° = 360°
⇒ ∠B = 40°
Sum of interior angles of a triangle = 180°
⇒ ∠B + ∠BDY + ∠y = 180°
⇒ 40° + 20° + ∠y = 180°
⇒ ∠y = 120°
9
Manuel bought supplies for a school project for $11.29. He paid with a $20 bill. How much change did he get back?
OA $31.29
OB. $8.71
OC. $7.71
OD. $8.81
Reset
Next
Answer:
B
Step-by-step explanation:
$20-$11.29= 8.71 change he wil get back
Consider the quadratic equation x2+7x+8=0. Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula?
x=7 ±(7)2−4(1)(8)√2(1)
x=(7)2−4(1)(8)√2(1)
x=−7 ±(7)2−(1)(8)√2(1)
x=−7 ±(7)2−4(1)(8)√2(1)
Answer:
x=−7 ±(7)2−4(1)(8)√2(1)
Step-by-step explanation:
I risked it all and got it right
What is the percent if 200 is the total and 150 is the part?
Answer:
75%
Step-by-step explanation:
75% of 200 is 150
Answer:
75% since [tex]50 + 50 + 50 = 150[/tex] which is [tex]3[/tex] quarters of [tex]200[/tex]
Please mark brainliest.
A local band spent $2,000 to record and make 400 CDs. They sold all of their CDs and made a profit of $500. How much did they charge for each CD?
Answer:
$6.25 for each CD
Step-by-step explanation:
6.25 x 400 = 2,500
2,500 - 2,000 = 500
there is a 500 profit
PLEASE HELP WILL GIVE BRAINLIEST!!!!
