The probability that each person gets off on a different floor is; 3/32
How to find the Probability?
We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;
Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways
Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;
P(each person gets off on a different floor) = 24/256 = 3/32
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An ice-cream from a restaurant costs $3 originally. The price is reduced to $2 one weekend. What is the percent change?
pls help sixowiskosixo
The given question is a quadratic equation and we can use several methods to get the solutions to this question. The solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
Quadratic EquationQuadratic equation are polynomials with a second degree as it's highest power.
An example of a quadratic equation is
[tex]y = ax^2 + bx + c[/tex]
The given quadratic equation is [tex]24x^2 + 2x = 15[/tex]
Let's rearrange the equation
[tex]24x^2 + 2x = 15\\24x^2 + 2x - 15 = 0[/tex]
This implies that
a = 24b = 2 c = -15The equation or formula of quadratic formula is given as
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]
We can substitute the values into the equation and solve
[tex]y = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\y = \frac{-2 +- \sqrt{2^2 -4 * 24 * (-15)} }{2*24} \\y = \frac{-2+-\sqrt{4+1440} }{48} \\y = \frac{-2+-\sqrt{1444} }{48} \\y = \frac{-2+- 38}{48} \\y = \frac{-2+38}{48} \\y = \frac{3}{4}\\ \\or\\y = \frac{-2-38}{48} \\y = \frac{-40}{48} \\y = -\frac{5}{6}[/tex]
From the calculations above, the solution to the equation are 3/4 and -5/6 and the greater of the two solutions is 3/4
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What is the volume of this sphere?
Use A 2 3.14 and round your answer to the nearest hundredth.
Answer:
hope this will help you ( ◜‿◝ )♡
Step-by-step explanation:
[tex]volume = \frac{4}{3} \times \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times ( {10}^{3} ) \\ = 4186.666mm {}^{3} [/tex]
[tex]\large\boxed{\bold{Formula:V= \frac{4}{3}\pi{r}^{3}}}[/tex]
[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]
In this question the radius is given so we'll simply have to substitute and solve.
Let's solve!
Instead of π we are asked to use 3.14
Substitute the values according to the formula.
[tex]V= \frac{4}{3}\times 3.14 \times {10}^{3}[/tex]
Calculator value:
[tex]\bold{V= 4186.666667 \: {mm}^{3}}[/tex]
Now, we have to round off to the nearest hundredth.
The value in the thousandths place is greater than 5 so we'll have to round up by adding 1 to the hundredths place.
Final answer:
[tex]\large\boxed{\bold{V= 4186.67 \: {mm}^{3}}}[/tex]
Hence, the volume of the given sphere is 4186.67 cubic millimeters.
Graph f(x) = x2 − 6x + 5? (1 point) 30 pts
Answer:
Direction: Opens Up
Vertex:(3,−14)
Focus:(3
Step-by-step explanation:
hope this help if not let me know have a blessed day
What is the sum of the interior angles of the polygon shown below?
Answer:
30600
Step-by-step explanation:
GIVING BRAINLIEST!!!!!
Answer:
segment AD is right one.
Answer:
Segment AD
Step-by-step explanation:
The only edge which lies on both planes and is shared by both is, Plane OAD and Plane BCD, is AD
6. You buy a car in 2018 for $12,000. The car depreciates at a rate of 20% annually. What is tha
car worth today?
Answer:
$4,915.2
Step-by-step explanation:
2018 = $12,0002019 = 9,600(20% of 12,000 = 2,400 | 12,000 - 2,400 = 9,600)
2020 = 7,680(20% of 9,600 = 1,920 | 9,600 - 1,920 = 7,680)
2021 = 6,144(20% of 7,680 = 1,536 | 7,680 - 1536 = 6,144)
2022 = $4,915.2(20% out if 6,144 = 1,228.8 | 6,144 - 1,228.8 = 4,915.2)
help me please im like so desperate rn
Answer:
See below
Step-by-step explanation:
GCF of 36 and 4 is welllll, just 4
so 36 - 4 = 4*9 - 4 = 4 ( 9-1) ( I THINK that is what goes here)
HELP IM STUCK ON THIS QUESTION
Answer:
FOR THE AREA:
Count how many full squares are in the middle, then count how many halves there are on the outer edge. the divide the amount of halves by 2 then add to the amount of full squares.
Natalie is hiking up a mountain while Simone is hiking down. When Natalie begins to ascend, Simone begins to descend at the same time. The graph shows Natalie’s elevation in feet over time in minutes. The table shows Simone’s elevation at different times. Who is hiking at a faster rate? Show your work.
To know who is hiking at a faster rate, calculate the rate for each hiker using the formula distance/ time and compare the rates.
How to find out who is faster?Calculate how fast each hiker moves or the rate for each hiker.Compare the rates.How to calculate the rate?The rate is equal to distance divided by time. For example,
Natalie travels 100 meters in 5 minutes:100/ 5 = 25 meters per minute.Note: This question is incomplete because the graphs are not provided; due to this, the answer is based on general knowledge.
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PLEASE HELP!! ILL MARK U AS BRAINLIEST!!!
The answer would be [tex]\frac{1}{2}[/tex].
The probability of getting a 5 is [tex]\frac{1}{100}[/tex] and the probability of getting a number larger than 50 is [tex]\frac{49}{100}[/tex] (the 50 doesn't count). Add those up and you get [tex]\frac{50}{100}[/tex] and can be simplified to [tex]\frac{1}{2}[/tex].
Answer:
51/100
Step-by-step explanation:
The probability is the ratio of the number of outcomes of interest to the total number of possible outcomes.
__
There is one number 5. There are 50 numbers in the range 1–100 that are greater than 50. So, the total number of outcomes of interest is 1+50 = 51.
The possible outcomes are any of the numbers 1–100, so there are 100 of them.
The probability of interest is ...
P(n=5||n>50) = 51/100
Calculating the relative frequencies from the data given in the table. choose all that correctly describe an association between favorite subject and grade.
a higher percentage of 8th graders than 7th graders prefer history.
a higher percentage of 7th graders than 8th graders prefer english.
a higher percentage of 8th graders than 7th graders prefer math/science.
Answer:
a higher percentage of 8th graders than 7th graders prefer history.
a higher percentage of 8th graders than 7th graders prefer math/science.
Step-by-step explanation:
darlene can finish an average-sized crocheted centerpiece for 2 week how many days will it take her to finish 4 projects?
Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is 56 days.
How many days will it take Darlene to finish 4 projects?
Given that;
Darlene can finish an average-sized crocheted centerpiece in 2 week = ( 2 × 7)days = 14 dayshow many days will it take her to finish 4 projects?If 1 project takes 14 days
4 project takes x days
x = 4 × 14 days
x = 56 days
Given that, Darlene can finish an average-sized crocheted centerpiece for 2 week, the number of days it will take her to finish 4 projects is 56 days.
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a punch recipe calls for 1 liter of lemon soda for every 3 liters of fruit juice. If a woman uses 10 liters of fruit juice how many liters of lemon soda does she need
Answer: 3 [tex]\frac{1}{3}[/tex] liters
Step-by-step explanation:
We will set up a proportion to help us solve.
[tex]\displaystyle \frac{10 \text{ liters of fruit juice}}{x\text{ liters of lemon soda}} =\frac{3 \text{ liters of fruit juice}}{1\text{ liters of lemon soda}}[/tex]
Now we will cross multiply.
10 = 3x
Lastly, we will divide both sides by 3.
3 [tex]\frac{1}{3}[/tex] = x
She will need 3 [tex]\frac{1}{3}[/tex] liters of lemon soda.
HELP HELP HELP PLEASE PLEASE
Answer:
Fourth one
Step-by-step explanation:
You can find the x coordinate of the vertex (which is the axis of symmetry)
by calculating x = - b/ 2a
( when equation is arranged into y = a x^2 + bx + c form )
first one - -2/4 = 1/2
second one -2/ -4 = 1/2
third one - -2 / 4 = 1/2
fourth one - 2 / 4 = - 1/2 BINGO !
x^2 - 3xb - 40b^2 factor the trinomi
Answer:
− (8b − x) (5b + x)
Step-by-step explanation:
A map shows that the vertices of a backyard are $W\left(-100,-70\right),\ X\left(-100,0\right),\ Y\left(0,0\right),$ and $Z\left(-60,-70\right)$ . The coordinates are measured in feet. The line segment $XZ$ separates the backyard into a lawn and a garden. The area of the lawn is greater than the area of the garden. How many times larger is the lawn than the garden?
i need a picture to answer this
Step-by-step explanation:
bc i said so
1. philosophy (intro to logic
measure your understanding of the 4 new rules of inference for predicate logic (pl): universal instantiation (ui), external instantiation (ei), existential generalization (eg), and universal generalization (ug) and one new rule of replacement: quantifier negation (qn) required for demonstrating that arguments of predicate language (pl) are valid.
question: is the following statement true or false?
the following statement is true
solutia ecuatiei 4x+12= 0 este x =
Find the product of these complex numbers (8+6i)(-5+7i)
Answer:
Step-by-step explanation:
= -40 + 56i -30i +42i
= 68i - 40
The function f(x) = –x^3 + 7x^2 – 7x – 15 has zeros located at 5, 3, –1. Verify the zeros of f(x) and explain how you verified them. Describe the end behavior of the function.
Answer:
See below for answers and explanations
Step-by-step explanation:
If we check x=5:
[tex]f(5)=-(5)^3+7(5)^2-7(5)-15\\f(5)=-125+7(25)-35-15\\f(5)=-125+175-50\\f(5)=50-50\\f(5)=0[/tex]
So [tex]x=5[/tex] is indeed a zero
If we check x=3:
[tex]f(3)=-(3)^3+7(3)^2-7(3)-15\\f(3)=-27+7(9)-21-15\\f(3)=-27+63-36\\f(3)=36-36\\f(3)=0[/tex]
So [tex]x=3[/tex] is also indeed a zero
If we check x=-1:
[tex]f(-1)=-(-1)^3+7(-1)^2-7(-1)-15\\f(-1)=1+7+7-15\\f(-1)=8+7-15\\f(-1)=15-15\\f(-1)=0[/tex]
So [tex]x=-1[/tex] is also indeed a zero
End Behavior
Since the degree of [tex]-x^3[/tex] is odd [tex](3)[/tex] and the leading coefficient is negative [tex](-1)[/tex], the end behavior of function [tex]f[/tex] is as follows:
As [tex]x\rightarrow-\infty,f(x)\rightarrow+\infty[/tex]As [tex]x\rightarrow+\infty,f(x)\rightarrow-\infty[/tex]Cacular m<) ABC
Ayuda
Answer:
m∡ABC=140º
Step-by-step explanation:
a knife is four times the cost of a spoon. 12 spoons and 16 knives cost £105.64. work out the cost of 1 knife
Answer:
£5.56Step-by-step explanation:
let K be the cost of a knife
S Ben the cost of a spoon
The statement “a knife is four times the cost of a spoon”
means K = 4S
means S = (1÷4)K
the statement “12 spoons and 16 knives cost £105.64”
means 12S + 16K = 105.64
⇔ 12(1÷4)K + 16K = 105.64
⇔ 3K + 16K = 105.64
⇔ 19K = 105.64
⇔ K = 105,64÷19
= £5.56
Solve the system of equations.
5x−4y=−10
−4x+5y=8
Answer:
(- 2, 0 )
Step-by-step explanation:
5x - 4y = - 10 → (1)
- 4x + 5y = 8 → (2)
multiplying (1) by 4 and (2) by 5 and adding result will eliminate x
20x - 16y = - 40 → (3)
- 20x + 25y = 40 → (4)
add (3) and (4) term by term to eliminate x
9y = 0 , thus
y = 0
substitute y = 0 into either of the 2 equations and solve for x
substituting into (1)
5x - 4(0) = - 10
5x - 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
solution is (- 2, 0 )
I don’t understand this, can someone please explain and show the answers please
your answer would be A. 122/27
What is the measure is OMN (explain please)
Answer:
90°
radius is perpendicular to tangent.
Step-by-step explanation:
Two paper cones are mathematically similar. The capacity of the larger cone is 8 times the capacity of the smaller cone. The surface area of the smaller cone is 50 cm². Find the surface area of the larger cone.
Answer:
200 cm²
Step-by-step explanation:
The scale factor for areas of similar figures is the square of the scale factor relating their linear dimensions. For volumes of similar figures, the scale factor is the cube of the linear dimension scale factor. Together, these relations mean the area scale factor is the 2/3 power of the area scale factor.
__
The larger surface area is ...
(50 cm²) × 8^(2/3) = (50 cm²) ×4 = 200 cm²
_____
Additional comment
The linear dimension scale factor is the cube root, or 1/3 power, of the volume scale factor. The area scale factor is the square of that or the 1/3 power times 2, the 2/3 power.
sf = ∛(v2/v1) = (v2/v1)^(1/3)
a2/a1 = sf^2 = ((v2/v1)^(1/3))^2 = (v2/v1)^(2/3)
Find the remainder when f(x) = 5x² + 4x² - 2x + 4 is divided by x + 1.
Answer:
I hope this helps you........
HELP!!! like plsssss
Answer:
68 cubic feet
Step-by-step explanation:
Split the object into 2 so you have 2 squares. Now do 2x4x6=48cbft. Then do 5x2x2=20cbft. Then just add them together! 48+20=68!
Hope this helps! ;-)
How many molecules of manganese are there in 1.75 moles? There are 6.02 x10^23 molecules/mol
Answer: [tex]1.0535 \times 10^{24} \text{ molecules of manganese}[/tex]
The result is approximate.
=========================================================
Work Shown:
[tex]1.75 \text{ moles} \times \frac{6.02 \times 10^{23} \text{ molecules}}{1 \text{ mole}}\\\\(1.75 \times 6.02) \times 10^{23} \text{ molecules}\\\\(10.535) \times 10^{23} \text{ molecules}\\\\(1.0535 \times 10^1) \times 10^{23} \text{ molecules}\\\\1.0535 \times (10^1 \times 10^{23}) \text{ molecules}\\\\1.0535 \times 10^{1+23} \text{ molecules}\\\\1.0535 \times 10^{24} \text{ molecules}\\\\[/tex]
Note: In the second step, the "mole" units cancel when dividing.
