Answer:
B) $73
Step-by-step explanation:
add all of your values and divide by the amount of values
52+55+55+55+59+64+66+68+72+73+73+73+73+75+81+81+83+84+84+86+87=
1,499
1,499 divided by 21 = 71.3809523...
which rounds to 73
HOPE THIS HELPS!!! :)
The median is of $48 in the stem leaf plot and option B is correct.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
The median of a data-set is the value that separates the bottom 50% from the upper 50% of values.
The graph has 16 values, already ordered.
It is an even number, hence the median is the mean of the 8th and the 9th values, which considering the key are both 48,
Hence, the median is of $48 and option B is correct.
To learn more on Statistics click:
https://brainly.com/question/30218856
#SPJ3
Stem-and-Leaf Plot shows the amount of money each student spends
on travel per day in dollars. What is the median for the data in this graph?
Stem Leaf
A) $35
B) $48
C) $53
D) $54
Divisibility by 10 of number 7236
7236 is NOT divisible by 10
Step-by-step explanation:
any number that ends with zero is divisible by 10 but 7236 dosent end with zero so 7236 isnt divisible by 10
1.5(a -4) - 2 = 4 pls help ASAP and show checked answer
Answer:
4
Step-by-step explanation:
Solving:
1.5(a -4) - 2 = 4 1.5a - 6 -2 = 41.5a - 8 = 41.5a = 4 + 81.5a = 12a = 12/1.5a = 8Checking:
1.5(8-4) - 2 = 41.5*4 - 2 = 46 - 2 = 44 = 4Please solve (will make brainiest)
Answer:
1a) 1/64
1b) 1/169
1c) 1/9
Step-by-step explanation:
You have to apply Indices Law :
[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]
Question A,
[tex] {4}^{ - 3} = \frac{1}{ {4}^{3} } = \frac{1}{64} [/tex]
Question B,
[tex] {13}^{ - 2} = \frac{1}{ {13}^{2} } = \frac{1}{169} [/tex]
Question C,
[tex] {( - 3)}^{ - 2} = {( - \frac{1}{3}) }^{2} = \frac{1}{9} [/tex]
9 ÷ (-4 1/2) = L.
What is L.
Answer:
[tex]\huge\boxed{L = -2}[/tex]
Step-by-step explanation:
L = 9 ÷ [tex](-4 \frac{1}{2} )[/tex]
L = 9 ÷ [tex](-\frac{9}{2} )[/tex]
L = 9 × [tex](-\frac{2}{9} )[/tex]
L = 1× (-2)
L = -2
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
[tex]\boxed {l = \frac{-18}{41} }[/tex]
[tex]\frac{\frac{9}{-41} }{2} = l[/tex]
Simplifies to:
[tex]\frac{-18}{41} = l[/tex]
Let's solve your equation step-by-step.
[tex]\frac{-18}{41} = l[/tex]
Step 1: Flip the equation.
[tex]l = \frac{-18}{41}[/tex]
So your answer would be : [tex]\boxed {l = \frac{-18}{41} }[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
prove tan(theta/2)=sin theta/1+cos theta for theta in quadrant 1 by filling in the calculations and reasons. PLEASE HELP!!!!
Answer:
See explanation
Step-by-step explanation:
We have to prove the identity
[tex]tan(\frac{\Theta }{2})=\frac{sin\Theta}{1+cos\Theta }[/tex]
We will take right hand side of the identity
[tex]\frac{sin\Theta}{1+cos\Theta}=\frac{2sin(\frac{\Theta }{2})cos(\frac{\Theta }{2})}{1+[2cos^{2}(\frac{\Theta }{2})-1]}[/tex]
[tex]=\frac{2sin(\frac{\Theta }{2})cos(\frac{\Theta }{2})}{2cos^{2}(\frac{\Theta }{2})}=\frac{sin(\frac{\Theta }{2})}{cos(\frac{\Theta }{2})}[/tex]
[tex]=tan(\frac{\Theta }{2})[/tex] [ Tan θ will be positive since θ lies in 1st quadrant ]
Kate travels for 1 1/3hour to visit a friend
who lives 4 1/2 miles away. Martin travels 4 1/4
miles to visit his friend, and it takes him 1 1/5
hours. Who travels more miles per hour?
Answer:
Martin
Step-by-step explanation:
Calculate their speeds with the formula s = d/t (speed = distance/time)
Calculate Kate's speed:
s = d/t
s = 4.5/1.33
s = 3.375 mph
Calculate Martin's speed:
s = d/t
s = 4.25/1.2
s = 3.541 mph
So, Martin travels more miles per hour
The base of a triangle is two times its height. If the area of the triangle is 36, then what is the height of the triangle?
We have:
h - height
b = 2h - base
A = 36 - area
so:
[tex]A=\frac{1}{2}\cdot b\cdot h\\\\A=\frac{1}{2}\cdot 2\cdot h \cdot h\\\\A=h^2\\\\36=h^2\quad|\sqrt{(\dots)}\\\\\boxed{h=6}[/tex]
Move ABC so it lies on top of , DEF, GHI and JKL. How many units do you have to move ABC from its original location to coincide with each of the other triangles? Specify how ABC moves up, down, left, or right.
Answer: triangleDEF - 3 units down
triangleGHI - 5 units left
triangleJKL - 4 units left and 5 units down
Step-by-step explanation:
A square has a perimeter of 32 and one vertex at (6,8). what could be the location of another vertex of this shape?
PLEASE HELP I AM IN A RUSH!!!
Answer:
6,5
Step-by-step explanation:
Answer:
(6,0),(-2,8),(-2,0)
Factorise: 5 x cube + 10 x square + 15 x
Answer:
5x( x^2 + 2x +3)
Step-by-step explanation:
5x^3 + 10x^2 + 15x
What is common to all three terms
5 xxx + 5*2*xx + 5*3*x
We can factor out 5x
5x( x^2 + 2x +3)
Inside the parentheses cannot be factored so we are done
Answer:
5x ( x^2 + 2x +3 )
Step-by-step explanation:
First we hv to take the common terms out from all the three terms...
So......
If we take 5x from 5x^3 it will bcm x^2
If we take 5x from 10^2 it will bcm 2x
if we take 5x from 15x^2 it will bcm 3
Therefore the final expression will bcm
5x ( x^2 + 2x +3 )
Hope this helps.....
MATT plans to put concrete on a regular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete that needs is $58.07.
THIS IS THE COMPLETE QUESTION BELOW;
Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?. . [1 foot = 12 inches; 1 yard = 3 feet]. a. 0.5 feet. b. 1.5 feet. c. 3 feet. d. 6 feet
Answer:
OPTION D is correct
d)6feet
Step by step Explanation:
We were given The price of concrete as $98 per cubic yard
Price= $98 /yrd³
But 1 foot = 12 inches
1 yard = 3 feet
Square both side we have,
Then 1yrd³ = 27 ft³.
So we can use this conversion factor to convert $98 /yrd³ to per ft³ as follows
$98 /yd³) ×(1 yrd³ / 27 ft³) = $ 98/27/ft³
If we denote the width of the portion as "y"
then the volume of the rectangular portion of the driveway =
= (8 ft) (1/3 ft) x = 8y/3 ft³
But we're given The total cost of the concrete Matt needs as $58.07,
Total cost = $58.07 = (8y/3)(98/27)
y= 5.99957 ft= 6feet
Therefore, the width of the portion of the driveway is 6feet
If the geometric mean of a and 120 is 60, find the value of a.
Answer:
The answer is option 4.
Step-by-step explanation:
Given that the mean formula is total score/number of score. So we can assume that total score is (a+120), number of score is 2 and the mean value is 60. Then you have to find the value of a :
[tex] \frac{a + 120}{2} = 60[/tex]
[tex]a + 120 = 60 \times 2[/tex]
[tex]a + 120 = 120[/tex]
[tex]a = 120 - 120[/tex]
[tex]a = 0[/tex]
[tex] \text{ Geometric mean of two numbers } a \text{ and } b , \text{ where } a,b>0 \text{ is given by } G= \sqrt{ab}[/tex]
[tex] \sqrt{a\cdot120}=60 [/tex]
[tex] \implies 60 \cdot 2 \cdot a=60\cdot 60 \qquad \text{Squaring both sides} [/tex]
[tex] \implies a =30 [/tex]
Translate the following phrase into an algebraic expression using the variable m. Do not simplify,
the cost of renting a car for one day and driving m miles if the rate is $39 per day plus 45 cents per mile
Answer:
y = 0.45X + 39
Given: Quadrilateral DEFG is inscribed in circle P. Prove: m∠G+m∠E=180∘
Answer:
The answer is below
Step-by-step explanation:
Let lines be drawn from D to F (line DF) and from F to G (line FG) as shown in the diagram attached.
∠FDE = ∠FGE (angles in the same segment).
Also, ∠EFD = ∠EGD (angles in the same segment)
∠FDE + ∠EFD = ∠FGE + ∠EGD = ∠FGD
Adding ∠FED on both sides gives:
∠FDE + ∠EFD + ∠FED = ∠FGD + ∠FED
But ∠FDE + ∠EFD + ∠FED = 180° (sum of angles in a triangle)
Therefore ∠FGD + ∠FED = 180°
m∠G + m∠E = 180° (sum of opposite angles in a cyclic quadrilateral is 180°)
The data give the average number of days in May that are clear
I really need help
Answer:
C. 0.10, because 6 of the 60 days were clear
Step-by-step explanation:
As per the question, you're in San Antonio which indicates 1st look in San Antonio's row.
Then we want the chance or probability it's clear, so look in clear column. We will find the value that is "6"
So 6 on a total of 60 which is the huge total. Accordingly, Probability it is right, since that you are into the San Antonio. Then it becomes
[tex]= \frac{6}{60}[/tex]
= 0.1
Therefore the right answer is C.
In the given figure if p||q what is the value of b?
Answer:
120°
Step-by-step explanation:
We can see that b=a by opposite exteriors.
So a+1/2a=180
1.5a=180
a=180/1.5=120
And since b and a are equal, b also equals 120°
find the exterior angle of a triangle whose interior opposite angles are 43 degree and 27 degree
Answer:
[tex]\huge\boxed{Exterior\ angle = 70\°}[/tex]
Step-by-step explanation:
The measure of exterior angle is equal to the sum of opposite interior angles.
So,
Exterior angle = 43+27
Exterior angle = 70°
A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line? A y= 1/2x + 3/2 B y= 1/2x -3/2 C y= 1/2x -1/2 D y= -1/2x -3/2
Answer:
[tex](B.) y= 1/2x -3/2[/tex]
Step-by-step explanation:
[tex](-3, -3) = (x_1,y_1)\\m = 1/2\\\\y-y_1=m(x-x_1)\\\\y -(-3)=\frac{1}{2} (x -(-3)\\\\y+3 = \frac{1}{2}(x+3)\\\\ y+3 = \frac{1}{2} x+\frac{3}{2}\\\\ y = \frac{1}{2} x +\frac{3}{2} -3\\\\y = \frac{1}{2} x - \frac{3}{2}[/tex]
Answer:
[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]
Step-by-step explanation:
y = mx + b
(slope intercept form of a line)
m = slope
b = y-intercept
y = 1/2x + b
Only three options have a slope of 1/2.
y= 1/2x + 3/2
y= 1/2x - 3/2
y= 1/2x - 1/2
The line crosses the point (-3, -3), x = -3 and y = -3.
-3= 1/2(-3) + 3/2
-3= -3/2 + 3/2
-3 = 0
This is false.
-3= 1/2(-3) - 3/2
-3 = -3/2 - 3/2
-3 = -6/2
-3 = -3
This is true.
-3= 1/2(-3) - 1/2
-3 = -3/2 - 1/2
-3 = -2
This is false.
If x1 and x2 are the roots of the equation x^2 +5x-3=0, determine the value of x1^2 + x2^2. I know that I have to use vietas formula, but I am stuck :( any help would be appreciated
Answer:
31
Step-by-step explanation:
Given
x² + 5x - 3 = 0
with a = 1, b = 5, c= - 3 , then
sum of roots x₁ + x₂ = - [tex]\frac{b}{a}[/tex] = - [tex]\frac{5}{1}[/tex] = - 5
product of roots = [tex]\frac{c}{a}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
Now
(x₁ + x₂)² = x₁² + 2x₁x₂ + x₂² , that is
(- 5)² = x₁² + 2(- 3) + x₂²
25 = x₁² - 6 + x₂² ( add 6 to both sides ), then
x₁² + x₂² = 31
Suppose that four students, Stephanie, Charles, Tim, and Rachel, are all preparing to take standardized exam that contains three subjects, math, reading, and science. Four tutors are available to help the students prepare for the exam. Each tutor is able to help in any of the three subjects. How many different ways can the students, tutors, and subjects be uniquely combined?
Answer:
48 different ways
Step-by-step explanation:
To solve this question, we use the Fundamental Counting Principle technique.
Fundamental Counting Principle can be defined as the way by which we determine the possibility or the number of possible outcomes for an event.
If we have event X and event Y and event Z, then the number of possible outcomes = X × Y × Z
For the above question, we have 3 events
Event 1 : 4 students ( Stephanie, Charles, Tim, and Rachel)
Event 2: 3 subjects ( Math, Reading, And Science)
Event 3 : 4 tutors.
Therefore,the many different ways can the students, tutors, and subjects can be be uniquely combined is:
= 4 × 3 × 4
= 48 different ways
6 to the third power divided by 4+2 x 9(32x8-17x4)
Answer:
3438.
Step-by-step explanation:
6³ ÷ 4 + 2 × 9 (32 × 8 - 17 × 4)
= 6³ ÷ 4 + 2 × 9 (256 - 68)
= 6³ ÷ 4 + 2 × 9 × 188
= 216 ÷ 4 + 2 × 9 × 188
= 54 + 2 × 9 × 188
= 54 + 3384
= 3438
3438 is the answer.
HE SODA MACHINE
The soda machine at your school offers several types of soda. There are two buttons for your favorite drink, Blast,
while the other drinks (Slurp, Lemon Twister, and Diet Slurp) each have one button.
Describe the input and output of this soda machine.
While buying a soda, Ms. Whitney pushed the button for Lemon Twister and got a can of Lemon Twister.
Later she went back to the same machine, again pushing the Lemon Twister button, but this time she got a can
of Blast. Is the machine functioning consistently? Why or why not?
BLAST
BLAST
BLUSO
ooo
Students, write your resnonsel
Answer:
yes and no
Step-by-step explanation:
if a machine is work a lot lot LOT, then it might be jamed
or the teacher might have accidentally pressed blast and you might have not seen the buttons correctly
( also i am not a student of yours )
What is the solution to the equation? Show your work and explain your answer. 4(x+2)−1=4x+7
Answer:
infinitely many solutions / all real numbers
Step-by-step explanation:
distribute the 4 on the left side of the equation
4 • x = 4x
4 • 2 = 8
4x + 8 - 1 = 4x + 7
combine like terms
4x + 7 = 4x + 7
0 = 0
since this expression is true, there are infinitely many solutions
please simplify this question
Answer:
8 107/120 (Decimal: 8.891667)
Step-by-step explanation:
12 1 /2 −5 13 /72 +1 3 /5 − 1 /36
= 25 /2 −5 13 /72 +1 3 /5 − 1 /36
= 25 /2 − 373 /72 +1 3 /5 − 1 /36
= 527 /72 +1 3 /5 − 1 /36
= 527 /72 + 8/ 5 − 1 /36
= 3211 /360 − 1 /36
= 1067 /120
=8 107 /120
HOPE THIS HELPS!!!!!! :)
<3333333333
ANSWER QUICKLY PLZZZZZZ ASAP
READ QUESTIONS CAREFULLY
Please help for 14 point 5 stars and 1 thanks! :]
Answer:
x=22000 ( bonds)
Step-by-step explanation:
total money invested=26000 , x for bonds and y stocks
x+y=26000 ⇒ x=26000-y
0.05 x + 0.08 y=1420 solve by substitute : x=26000-y
0.05(26000-y)+0.08 y =1420
1300-0.05y+0.08y=1420
0.03y=1420-1300
y=120/0.03
y= 4000 ( the amount invested in stocks)
the amount invested in bonds x= 26000-4000
x=22000 ( bonds)
check :
0.05(22000)+0.08(4000)= 1420 correct
) Martha went to the store with $75.00. She bought 3 pairs of socks for $4.00 each, she bought 2 shirts for $20.00 each, and she bought a skirt for $21.00. How much money did she have left?
Answer:
She had $2.00 left.
Step-by-step explanation:
PEMDAS
$75 - [(3 x $4) + (2 x $20) + $21 ]
$75 - [ $12 + $40 + $21]
$75 - [ $52 + $21]
$75 - $73
$2
9e - 7 = 7e – 11
Please help!?,!;):)
Answer:
e=-2
Step-by-step explanation:
9e-7e=-11+7
2e=-4
e=-2
how many are 5 raised to 4 ???
Answer:
625
Step-by-step explanation:
5⁴ = 5x5x5x5 = 625
Which transformations to the graph of j(x) would result in the graph of j(4x)-27
Answer:
Composition and vertical translation must be done in the parent function.
Step-by-step explanation:
Let be [tex]j(x)[/tex] the parent function, if [tex]g(x) = j(4\cdot x) -27[/tex], then two transformation must be done in the following order:
Composition
[tex]j \circ h (x) \rightarrow j(h(x))[/tex], where [tex]h(x) = 4\cdot x[/tex]
Vertical translation
[tex]g(x) = j(4\cdot x) -27[/tex]
Composition and vertical translation must be done in the parent function.
Answer: Option D
Horizontal compression by a factor of 1/4, and a translation 27 units down