Answer:
For Skyhigh : 40 friends
For Jump it up : 90 friends
Step-by-step explanation:
Given that :
Maximum spending = $250
SKY HIGH FEES :
Party set up fee = $50 ; Amount paid per person = $2
JUMP IT UP FEES :
Party set up fee = $70 ; Amount paid per person = $2
THEREFORE, the inequality statement to obtain the number of friends for eack trampoline center goes thus:
Party setup fee + Number of persons * fee per person ≤ maximum spending
SKY HIGH:
50 + 5x ≤ 250
5x ≤ 250 - 50
5x ≤ 200
x ≤ 200/5
x ≤ 40
Hence,
Skyhigh can accommodate 90 friends Given the conditions
JUMP IT UP:
70 + 2x ≤ 250
2x ≤ 250 - 70
2x ≤ 180
x ≤ 180/2
x ≤ 90
Jump it up can accommodate up to 90 friends Given the conditions.
geometry!! please help :(
Answer:
3
Step-by-step explanation:
help its 50 percent of my grade
Answer:A=144 P=40
Step-by-step explanation:
Answer:
Area is [tex]96^{2}[/tex] feet
Perimeter is 40ft
Stephanie gets an average of 11 calls during her 8 hour work day. What is the probability that Stephanie will get more than 4 calls in a 2 hour portion of her work day
Answer:
0.145
Step-by-step explanation:
Suppose λ = average number of an event occurring in an interval of a presented length; &
x = no. of events occurring in an interval length t
Thus, x has a Poisson distribution with parameter λt.
i.e.
[tex]P[X=k] = \dfrac{(\lambda t)^k\times e^{-\lambda t}}{k!} \ \ \ where; k = 0,1,2 ...[/tex]
Given that:
The average number of call every 8 hours = 11
Then, the parameter for the Poisson process [tex]\lambda =\dfrac{11}{8}[/tex]
where;
t = 2 hours
[tex]\lambda t = \dfrac{11}{8}\times 2[/tex]
[tex]\lambda t = \dfrac{11}{4}[/tex]
Also,
x = no. of calls occurring at an interval of length 2
The required probability is as follows:
P(x > 4) = 1 - [P ( x≤ 4) ]
[tex]=1 - [ P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) ][/tex]
[tex]= 1 - \bigg [ \dfrac{(\dfrac{11}{4})^0 \times e^{-11/4}}{0!}+\dfrac{(\dfrac{11}{4})^1 \times e^{-11/4}}{1!}+ \dfrac{(\dfrac{11}{4})^2 \times e^{-11/4}}{2!}+ \dfrac{(\dfrac{11}{4})^3 \times e^{-11/4}}{3!}+ \dfrac{(\dfrac{11}{4})^4 \times e^{-11/4}}{4!} \bigg ][/tex]
[tex]= 1 - \begin {bmatrix} 1 + \dfrac{11}{4} + \dfrac{\bigg (\dfrac{11}{4}\bigg)^2}{2}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^3}{6}+\dfrac{\bigg (\dfrac{11}{4}\bigg)^4}{24} \end {bmatrix} e^{-11/4}[/tex]
[tex]= 1 - [ 1 + 2.75 + 3.78125 + 3.466145833 + 2.3829] \ e^{-11/4}[/tex]
= 1 - [13.38037]× 0.06393
= 1 - 0.855407
= 0.14459
≅ 0.145 ( to 3 decimal place)
select the correct anwser from each drop down menu
in this graph the y intercept of the line is
the equation of the line is y=
Answer: -2=y
Step-by-step explanation:
Answer:
2-y
Step-by-step explanation:
Over the interval [0, 2π), what are the solutions to cos(2x) = cos(x)? Check all that apply.
0
StartFraction pi Over 3 EndFraction
StartFraction 2 pi Over 3 EndFraction
Pi
StartFraction 4 pi Over 3 EndFraction
StartFraction 5 pi Over 3 EndFraction
Answer:
Step-by-step explanation:
given the expression;
cos(2x) = cos(x)
According to trig identity;
cos(2x) = cos(x+x)
cos(2x) = cos x cos x - sinx sinx
cos(2x) = cos²(x)-sin²(x)
cos(2x) = cos²(x)-(1-cos²x)
cos(2x) = cos²(x)+cos²x-1
cos(2x) = 2cos²(x)-1
2cos²(x)-1 = cos(x)
let P = cosx
2P²-1 = P
2P²-P-1 = 0
Factorize;
2P²-2P+P-1 = 0
2P(P-1)+1(P-1) = 0
2P - 1 = 0 and P-1 = 0
P = 1/2 and 1
cosx = 1/2 and cos x = 1
x = arccos 1/2
x = π/3
Also;
x = arccos1
x = 0
Hence the value of x are 0 and π/3
Also the angle = π+ π/3 = 4π/3
The angles are 0, π/3 and 4π/3
Answer:
a,c,e
Step-by-step explanation:
Which table represents a function?
Answer:
D
Step-by-step explanation:
Hi can u please help me with this ASAP
Answer: an altitude
Step-by-step explanation:
directions: Represent each of the following elevations using a rational number question: Cayuga Lake 122 meters above sea level. Happy holidays!
Answer:
122
Step-by-step explanation:
PLEASE HELP MEEE!!!Which fraction is equivalent to a ratio of 3 to 4?
Answer:
3/4
Step-by-step explanation:
Just swap the colon (:) for a slash (/)
Answer:
Any of these should work for ya :)
3/4 = 6/8 = 9/12 = 12/16
= 15/20 = 18/24 = 21/28 = 24/32
= 27/36 = 30/40 = 33/44 = 36/48
= 39/52 = 42/56 = 45/60 = 48/64
= 51/68 = 54/72 = 57/76 = 60/80
= 63/84 = 66/88 = 69/92 = 72/96
= 75/100 = 78/104 = 81/108 = 84/112
= 87/116 = 90/120 = 93/124 = 96/128
= 99/132 = 102/136 = 105/140 = 108/144
= 111/148 = 114/152 = 117/156 = 120/160
= 123/164 = 126/168 = 129/172 = 132/176
= 135/180 = 138/184 = 141/188 = 144/192
= 147/196 = 150/200 = 153/204 = 156/208
= 159/212 = 162/216 = 165/220 = 168/224
= 171/228 = 174/232 = 177/236 = 180/240
= 183/244 = 186/248 = 189/252 = 192/256
= 195/260 = 198/264 = 201/268 = 204/272
= 207/276 = 210/280 = 213/284 = 216/288
= 219/292 = 222/296 = 225/300 = 228/304
= 231/308 = 234/312 = 237/316 = 240/320
= 243/324 = 246/328 = 249/332 = 252/336
= 255/340 = 258/344 = 261/348 = 264/352
= 267/356 = 270/360 = 273/364 = 276/368
= 279/372 = 282/376 = 285/380 = 288/384
= 291/388 = 294/392 = 297/396 = 300/400
<3 Enjoy,
Dea
What numbers would be in the in the 4 sections of a 2 x 2 array that shows the problem 19 x 11?
100, 100, 90, 9
100, 10, 90, 9
100, 90, 10, 1
10, 10, 9, 9
Answer:
100, 90, 10, 1
Step-by-step explanation:
what is approximately equal to
[tex] \sqrt{47} [/tex]
A: 40
B: 7
C: 16
D: 9.4
Answer:
d
Step-by-step explanation:
d
I need to find the area of these if you do it I will give you a 5-star rating and share you with other people brainiest included
Answer:
get up a calculator and multiply the numbers and it will give you an answer
Step-by-step explanation:
hope this helps
- 10x – y = -29
10x + 7y = 23
Answer:
x=3 and y=−1
Step-by-step explanation:
i love you man
SAY IT BACK
SAY IT BAAACK
Answer:
I´m good
Step-by-step explanation:
Answer:
I love myself
and you
Brianna answers 5 questions for each chapter of a book she reads in English class.
Write an equation to represent the total number of questions, q,Brianna answers based on the number of chapters, C,
in the book she reads.
Enter your equation in the box.
Answer:
q=5c
Step-by-step explanation:
q is the total number of questions, so the other numbers/variables must be multiplied together to equal q.
c is the number of chapters read, so that must be multiplied by 5 (questions per chapter) in order to equal q.
Match the numbers on the left with their equivalent forms on the right.
Answer:
the answer is
Step-by-step explanation:
1 2
2 1
3 4
4 3
Can some one
help please I don’t understand this problem.
This is for regular Geometry.
Plz Help!
The population of Mathville is 8x10^5. The population of Algeville is 2x10^5. What is the difference in the populations?
5x − 8( 1 + 7x ) = −8
Answer:
x = 0
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x - 8(1 + 7x) = -8
Step 2: Solve for x
Distribute -8: 5x - 8 - 56x = -8Combine like terms: -51x - 8 = -8Isolate x term: -51x = 0Isolate x: x = 0Step 3: Check
Plug in x into the original equation to verify it is a solution.
Substitute in x: 5(0) - 8(1 + 7(0)) = -8Multiply: 0 - 8(1 + 0) = -8Add: -8(1) = -8Multiply: -8 = -8Here we see that -8 does indeed equal -8.
∴ x = 0 is a solution of the equation.
if you're at the state fair with some friends and deciding between buying a jumbo pack of 50 ride tickets for $45 or medium pack of 30 ride tickets for $28.50 which pack is the better deal jumbo or medium now say sorry
Can someone help and explain and do the solution pls :(
Consider ∆JWZ and ∆JKZ
WZ~KJ (given)
/ WZJ~/ KJZ (given)
JZ~JZ (common)
Therefore,
∆JWZ~∆JKZ by SAS congruence rule.
JW~ZK by CPCT.
find the slope of the line that passes through the points (0, 6) and (20, 14).
Answer:
2/5
Step-by-step explanation:
7. Gary wants to buy a video game with a
selling price of $48, on sale for 50% off.
The sales tax in his state is 4.5%.
a. How much will Gary have to pay in all?
Answer:
25.08
Step-by-step explanation:
48 * 50% = 24
24 * 4.5% = 1.08
24 + 1.08 + 25.08
complete the identity
sin 2x - cot x
Answer:
Solve the scientific Calculator
PLEASE I NEED THE ANSWER TO 1 + 1
Answer:
uhhhhh 3
Step-by-step explanation:
Step-by-step explanation: I know, hardest question known to man.
Match the vocabulary word with the correct definition.
3
1. apothem
2. inscribed polygon
a polygon that is constructed inside
of the circumference of a circle in which
the vertices of the polygon lie on the
circumference of the circle.
2
a line segment drawn from the
center of a convex polygon (inscribed in
a circle) to the midpoint of any side of
the polygon.
a convex polygon in which all of the
side lengths are equal and all of the
interior angles have equal measure.
3. regular polygon
Answer:
apothem: a line segment drawn from the center of a convex polygon (inscribed in a circle) to the midpoint of any side of the polygon.
regular polygon:a convex polygon in which all of the side lengths are equal and all of the interior angles have equal measure.
inscribed polygon:a polygon that is constructed inside of the circumference of a circle in which the vertices of the polygon lie on the circumference of the circle.
Step-by-step explanation:
The words that matched with the correct definition are given below.
What is apothem?The apothem is the angle between a chord's middle and the circle's center. The apothem of a regular polygon is only the in radius, or the distance from the center to a side.
The correct definitions are:
Apothem : a line segment drawn from the center of a convex polygon (inscribed in a circle) to the midpoint of any side of the polygon.
Regular polygon : a convex polygon in which all the side lengths are equal and all the interior angles have equal measure.
Inscribed polygon : a polygon that is constructed inside the circumference of a circle, in which the vertices of the polygon lie on the circumference of the circle.
Therefore, the correct definitions are given above.
To learn more about the apothem;
https://brainly.com/question/9172186
#SPJ2
im doing a review for my class I've blurred my name but im struggling getting to understand some of these
How many terms are in the expression when simplified
Answer:
There are four (4) different terms
Step-by-step explanation:
Given;
2x + 3xy - (x + y) + 2
The terms are simplified as follows;
=2x + 3xy - (x + y) + 2
= 2x + 3xy - x - y + 2
collect like terms;
= 2x - x - y + 3xy + 2
= x - y + 3xy + 2
Thus, there are four (4) different terms in the simplified expression.
Determine the intercepts of the line.
7x-5=4y -6
X-intercept:
y-intercept:
Answer:
x-intercept : (-0.1429,0)
y-intercept : (0,0.25
PLEASE HELP ASAP!!!!!!!!
A
B
C
D