Answer:
P(not less than 5) = 0.5
Step-by-step explanation:
Given
Parts of spinner = 8 equal parts
Required
P(not less than 5)
First, it'll be assumed that the parts of the spinner is numbered 1 - 8.
This gives the following sample space (S)
S = {1,2,3,4,5,6,7,8}
Total = 8
To calculate PP(not less than 5), the number of parts not less than 5 is needed.
Parts not less than 5 = {5,6,7,8}
Number of parts = 4
So, P(not less than 5) = Number of parts not less than 5 divided by total number of parts
Mathematically, P(not less than 5) = 4/8
P(not less than 5) = 4/8
P(not less than 5) = ½
P(not less than 5) = 0.5
Hence, the theoretical probability of PP(not less than 5) is 0.5.
A party for 325 people is booked. The cost of the party is $8,125. If the party host are given an 8% discount on their total bill, what is the cost of the party
The two-way table shows the number of students in a school who have cats and/or dogs as pets.
How many more students have cats than dogs?
Answer:
3
Step-by-step explanation:
43-40=3
Isabella's house has 3 bedrooms. Each bedroom is 12 feet long, 10 feet wide, and 8 feet high. Isabella must paint the walls of all the bedrooms. Doorways and windows, which will not be painted, occupy 60 square feet in each bedroom. How many square feet of walls must be painted?
Answer:
876 square feet need to be painted.
Step-by-step explanation:
There are four walls in each bedroom, since she can't paint floors or ceilings. So we calculate the number of square feet of wall there is in one bedroom
(12*8)+(12*8)+(10*8)+(10*8)-60=160+192-60=292
There are 3 bedrooms so
292*3=876
The ratio of surface areas of two similar polyhedra is equal to the cube of the
ratio between their corresponding edge lengths.
O A. True
O B. False
Answer:
The answer is false already got this question wrong though D;
Step-by-step explanation:
The ratio of the volumes of two similar solid polyhedra is equal to the cube of the ratio between their edges is false.
The ratio of the corresponding edges or sides or lengths of given similar solids is called the linear scale factor.
What is the area of scale factor?
The linear scale factor can be used to determine the area scale factor which is the ratio of the area of the similar solids.
The area scale factor is given as the square of the linear scale factor.
that is Area Scale Factor = (Linear Scale Factor)²
The linear scale factor can also be used to find the ratio of the volumes of similar solids, or what is called the volume scale factor such that the volume scale factor is given by the cube of the area scale factor.
Therefore the given statement is false
To learn more about the surface area visit:
https://brainly.com/question/76387
#SPJ2
I need some help finding the answer please help
Answer:
(1,3) (B)
Step-by-step explanation:
A function cannot have 2 y values per x value. The x value of 1 has 2 y values on it which are -2 and 3. Therefore, you must remove one of them. The only one that applies is (1,3)
I completed the vertical line test which shows that A, C, nor D had another point on their lines. So B is the answer.
how would i go about this question?
Answer:
x = 48.40'
y = 33.01'
Step-by-step explanation:
These are all segments of a right triangle, so the Pythagorean theorem applies.
x^2 = 46.07^2 +14.82^2 = 2342.0773
x = √2342.0773 ≈ 48.40
__
x^2 = 35.39^2 +y^2
y^2 = 2342.0773 -35.39^2 = 1089.6252
y = √1089.6252 ≈ 33.01
Units are feet for both numbers:
x = 48.40'
y = 33.01'
_____
You always start any question by reading the whole question, identifying the (relevant) given information, and understanding what the question is asking for. You then make an assessment of what you know about the relationships between the given information and what is asked. Finally, you develop a strategy for getting from what you know to what you need to know.
Here, you're given segment lengths of right triangles, and you're asked for other segment lengths. This is not a trig problem--no angles are involved. It is a straight Pythagorean theorem problem. To make use of that theorem, or any formula, you need to have only one unknown. So, you can't start by solving the bottom triangle; you have to start with the upper one where there is only the unknown side x.
After you find x, then you have two known sides in the bottom triangle, so you can find y.
Here, x is an intermediate value in the computation of y. You do NOT use the rounded answer to the question when you're computing y. Rather, you use the full calculator precision for x, so that y can have best accuracy. Only at the end do you round to hundredths.
After all your hard work studying for Algorithms you, Alice and Bob end up stuck in a room full of deadly zombies! Luckily you have a gun with plenty of ammunition and can reliably shoot one zombie dead every second. Each zombie is di feet away and moving at a speed of si feet per second. If a zombie reaches you then you all die. You are arguing about what order to shoot the zombies so you live as long as possible.
1. State this input and output conditions for this optimization problem.
2. Alice suggests shooting the closest zombie first. Give a counterexample that shows this is incorrect.
3. Bob suggests shooting the fastest zombie first. Give a counterexample that shows this is incorrect.
4. What order should you shoot the zombies?
5. Prove your order will let you live the longest. Grading You will be docked points for errors in your math, disorganization, unclarity, or incomplete proofs.
Answer:
The most important quantity to consider in order to answer this question is the arrival time of the zombies from their initial position, which is the quotient between their distance to the visitors, divided the zombie's speed.
See explanation below.
Step-by-step explanation:
Part 1)
What is crucial to know is what is the time at which each zombie would reach Alice and Bob, and that is given by the quotient between the distance away each zombie is, divided by the zombie's speed:
[tex]speed=\frac{distance}{time} \\time=\frac{distance}{seed} \\t_i=\frac{d_i}{s_i}[/tex]
Then, it is this quotient for each zombie, that one has to estimate given the input values distance and speed, and it is the output "time" ([tex]t_i[/tex]) for each zombie, what we need to analyze so as to prioritize an order regarding which zombie to kill first.
Part 2)
Shooting the closest zombie first is not a good idea, since the speed of that closest zombie may be much slower than another zombie further away, but with much larger speed. Again, the important value to analyze is the time that it would take each zombie to reach Alice and Bob.
Part 3)
Shooting the fastest zombie first is not a good idea either, because that fastest zombie could be located very far away from the visitors, and other zombies closer by may reach them first.
Part 4)
The order that should be used to kill the zombies is given by the value of the time to reach Bob and Alice based on the quotient distance (di) over speed (si) explained in Part 1). The zombie that shows smallest time should be shot first, and then the others in increasing order of time value.
Part 5)
Notice that the individual zombie information is not presented in the question, but the student should be able to calculate the quotients for each zombie, and considering that there could be at most one shot every second, estimate the number of seconds that the time for each zombie in increasing order would allow until the addition of shooting time per second in the appropriate order cannot match the arrival time of the zombies that are left.
One should count number of seconds from the first shot (to the zombie with shortest arrival time), and then increase in one unit (one shot per second), to the following zombie with slightly larger arrival time), and so on, until the addition of seconds (one second per shot and per increasing arrival time of zombie) exceeds the next zombie arrival time.
A rectangular field has an area of 1764 square meters. The width of the field is 13 meters more than the length. What is the perimeter of the field.
Answer:
170m
Step-by-step explanation:
The answer to the above question is letter d which is 170 m. To get the 170 m, kindly check the below solution:
x^2 + 13x = 1764 so x = -49 and 36, we take 36 as its the positive value. And the other side is 49. Now use 2(l+b) to find perimeter. You get (36+49)*2 = 170
A frequency distribution for the class level of students in an introductory statistics course is shown. Two students are randomly selected without replacement. Complete parts (a) through (d).
Class
Frequency
Freshman
6
Sophomore
16
Junior
12
Senior
7
a. Determine the probability that the first student obtained is a junior and the second a senior.
Answer: [tex]\dfrac{21}{410}[/tex].
Step-by-step explanation:
Formula : Probability = [tex]\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}[/tex]
From the given frequency distribution for the class level of students in an introductory statistics course, we have
Number of Junior= 12
Number of Senior = 7
Total students = 6+16+12+7 = 41
Probability that the first student obtained is a junior = [tex]\dfrac{12}{41}[/tex]
Probability that the the second student obtained is a senior. [tex]=\dfrac{7}{41-1}=\dfrac{7}{40}[/tex]
Then, the probability that the first student obtained is a junior and the second a senior would be [tex]\dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}[/tex]
Hence, the required probability is [tex]\dfrac{21}{410}[/tex].
(1 point) The intensity of light at a depth of x meters below the surface of a lake satisfies the differential equation dIdx=(−1.21)I. (a) At what depth, in meters, is the intensity of light half that of L, where L equals the intensity of light at the surface (where x=0)?
Answer:
0.573 m
Step-by-step explanation:
a. To find the depth, x, we first solve the differential equation to find the expression for I
dI/dx = (-1.21)I
dI = (-1.21)Idx
dI/I = -1.21dx
Integrating both sides, we have
∫dI/I = ∫-1.21dx
㏑I = -1.21x + C
I = exp(-1.21x + C)
I = exp(-1.21x)exp(C) Let exp(C) = A
I =Aexp(-1.21x)
when x = 0, I = L. Substituting these into the equation, we have
L = Aexp(-1.21 × 0)
L = Aexp(0)
L = A
So, I = Lexp(-1.21x)
we want to find x when I = L/2.
So, L/2 = Lexp(-1.21x)
1/2 = exp(-1.21x)
-1.21x= ㏑(1/2)
-1.21x= -㏑2
x = -㏑2/-1.21
x = 0.693/1.21
x = 0.573 m
Write the ratio as a fraction in simplest form.
18
84
Answer:
3/14
Step-by-step explanation:
WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECT
Answer:
I cant see it properly
Step-by-step explanation:
80% of the students voted for Jane as dass
president she received 112 votes, how
many students voted?
A140
B228
C 152
D 148
Answer:
A
Step-by-step explanation:
140 x 0.8 = 112
Answer:
140 students voted (Answer A)
Step-by-step explanation:
Let v represent the total number of students who voted.
Then 0.80v = 112 votes.
Dividing both sides by 0.80, we get:
v = 140. 140 students voted.
As a check, find 80% of 140 students: that comes out to 112 students (correct)
what is the solution of square root 2x+4=16?
A.x=6
B.x=72
C.x=126
D.no solution
Answer:A.6
Step-by-step explanation:first you subtract -4 with +4 and same ro the other side 16-4 =12. Then tha t leaves you with 2x=12 , so then you do 12÷2=6 . so x=6
Janet can wax her car in 2 hr(s). When she works together with Helga, they can wax the car in 45
min(s). How long would it take Helga, working by herself, to wax the car?
please help
Answer:
1.2h / 72min
Step-by-step explanation:
Maria waxes her car in 2 hours. When she works with Susan, they can wax the car
in 45 mins. How long will it take Susan, working by herself, to wax the car?
:
Let x = time required by Susan by herself
:
Change 45 min to hrs: 45/60 = .75 hrs
:
Let the completed job = 1
:
Each will do a fraction of the job and will add up to 1
:
.75%2F2 + .75%2Fx = 1
Multiply equation by 2x to eliminate the denominators, solve for x
.75x + 2(.75) = 2x
:
.75x + 1.5 = 2x
:
1.5 = 2x - .75x
:
1.5 = 1.25x
x = 1.5%2F1.25
x = 1.2 hrs (72min), for Susan to do the job by herself
You own a Roulette Wheel, which has 37 (European Version) equally distributed parts, each has a number number associated. 0 is green, the rest 36 includes 18 red and 18 black. The money you have to pay to the gambler for hitting green, red and black are 10, 1 and 2 dollars respectively. How much you have to charge per play in order to make sure you will make money?
Answer:
To expect a profit in the long run, we have to charge more than $1.73 per play.
Step-by-step explanation:
We hace a roulette wit 37 slots.
One is green, eighteen are red and eighteen are black.
The expected pay for the gambler can be calculated as the sum of the probability of getting green, red or black multiplied by the respective pay.
[tex]E(g)=\sum p_iG_i=p_gG_g+p_rG_r+p_bG_b\\\\\\E(g)=\dfrac{1}{37}(10)+\dfrac{18}{37}(1)+\dfrac{18}{37}(2)\\\\\\E(g)=\dfrac{10+18+36}{37}=\dfrac{64}{37}\approx1.73[/tex]
If $1.73 per play is the expected pay that will receive the gambler, we have to charge at least this amount to make sure we will make a profit in the long run.
Andrea plans to serve orange juice for a large family brunch. She combines the orange concentrate and the water using a 2:5 ratio. How many cans of water does she combine with 10 cans of concentrate a 4 b 7 c 14 d 25
Answer:
d 25
So 10 cans of orange Concentrate will be = 25 cans of water
Step-by-step explanation:
Andrea combines the orange concentrate and the water using a 2:5 ratio.
We are to find how many cans of water she needs to combine with 10 cans of concentrate
So using the ratio.
2 cans of orange Concentrate is to 5 cans of water.
So 10 cans of orange Concentrate will be =( 10*5)/2
So 10 cans of orange Concentrate will be = 50/2
So 10 cans of orange Concentrate will be = 25 cans of water
Simplify m - {n + [p - (m + n - p)]}.
Answer:
Step-by-step explanation:
m-(n+(p-(m+n-p)))
Final Result :
2 • (m - p)
Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the pledge class of the Epsilon Delta fraternity is instructed to tag all the frogs residing on the ESU campus. Two years ago (t = 0) they managed to tag all 46,000 of them (with little Epsilon Delta Fraternity tags). This year's pledge class discovered that all the tags had all fallen off, and they wound up tagging a total of 55,200 frogs.a) Find an exponential model for the frog population.b) Assuming exponential population growth, and that all this year's tags have fallen off, how many tags should Epsilon Delta order for next year's pledge class?
Answer:
Step-by-step explanation:
Part a
Exponential growth model for the frog population is given by
[tex]P=P_{0}b^{t}\texttt{ \ where} \ P_{0}=Population \ at \ t=0 \ and \ b=Base[/tex]
The population of frog at t=0 (2 years ago) is given as 46000 which implies
[tex]P_{0}=46000[/tex]
The population in the current year is given as 55200 which implies
At,
t=2 years, P=55200
Therefore, substitute the above values to calculate the value of b
[tex]55200=46000b^{2} => b^2=\frac{55200}{46000}=1.2[/tex]
[tex]b=\sqrt{1.2}=1.095445[/tex]
Therefore, the model equation becomes
[tex]P=46000(1.095445)^{t}[/tex]
Part b
Since all the tags for this year have fallen off which implies no of tags for the next year can be calculated by calculating the population at t=3
[tex]P=46000(1.095445)^{3}\\\\=46000\times 1.3145\\\\=60467[/tex]
A soup can in the shape of a cylinder is 4 inches tall and has a radius of 2 inches. How much soup will fit in the can? Use 3.14
for and round the answer to the nearest tenth.
Recall the formula yr
0 12.6
16.0
25.1
50.2
Answer:
16.0
Step-by-step explanation:
Answer:
b 16.0
Step-by-step explanation:
Please help me !!!!?
Let [tex]n[/tex] be the smallest integer; then, the other two integers are [tex]n+1[/tex] and [tex]n+2,[/tex] so we have the equation [tex]3n+3=63.[/tex] Solving, we have [tex]n=20,[/tex] so the integers are [tex]\boxed{20,21,22}.[/tex]
PLEASE HELP
Write an equation in slope-intercept form with a slope of -5 and a y-intercept of 3.
a. y = 5x + 3
C. y = 3x - 5
b. y = -5x-3
d. y = -5x+3
Answer:
d y = -5x+3
Step-by-step explanation:
slope intercept is y=mx+b m is for the slope and b is the y intercept so the -5x would go first and then the 3
Find the area A of △JKL with vertices J(−4,10), K(0,3), and L(−4,−2).
Answer:
24 sq. u.
Step-by-step explanation:
1)For this triangle area, let's use the classic Euclidean formula:
[tex]\Delta \: area=\frac{b*h}{2}[/tex]
2) Let's measure the lenght of the base, taking the y coordinate of J vertex and L Vertex
[tex]|10-(-2)|=|12|=12[/tex]
3) Similarly to the height, taking the K and its distance to the base
|0-(-4)|=|4|=4
4) Plugging them in:
[tex]\Delta \: area=\frac{12*4}{2}=24[/tex]
Answer:
24 Square Units
Step-by-step explanation:
8) What percent of 38 is 15
Answer:
39.4736842105 or 39.47, but in integers is 39
Step-by-step explanation:
38/100=.38
15/.38=39.4736842105
Answer:
39.4736842105% or 39.47%
Step-by-step explanation:
To find what percent of 38 is 15, take 15 divided by 38
15/38 = 0.394736842105
Double check this answer by working backwards
38 x 0.394736842105 = 15
Change 0.394736842105 into a percentage because a percentage is what is needed
0.394736842105 = 39.4736842105% = 39.47%
what is the midpoint between (-3,-2) and (4,7)?
Answer:
1/2, 5/2
Step-by-step explanation:
To find the midpoint add up the x coordinates and divide by 2 and the y coordinates and divide by 2
(-3+4)/2, (-2 +7)/2
1/2, 5/2
Answer:
[tex](\frac{1}{2}, \frac{5}{2} )[/tex]
Step-by-step explanation:
Use the midpoint formula:
[tex](\frac{-3+4}{2} , \frac{-2+7}{2} )[/tex]
The points are:
[tex](\frac{1}{2}, \frac{5}{2} )[/tex]
What is m ABC?
m ABC = 15°
m ABC = 45°
mABC = 60°
m ABC = 75°
Answer:
C) 60
Step-by-step explanation:
m ABC is 60 degrees
Answer:
The answer is mABC = 60°
Suppose ø is an angle in the standard position whose terminal side is in Quadrant I and tan ø = 60/11
Answer:
Following are the ratio to this question:
Step-by-step explanation:
Given:
[tex]\bold{\tan \phi = \frac{60}{11} }\\\\[/tex]
Formula:
[tex]\sin \phi = \frac{Perpendicular}{Hypotenuse}\\\\\cos \phi = \frac{Base}{Hypotenuse} \\\\\tan \phi = \frac{Perpendicular}{Base} \\\\\ cosec \phi = \frac{Hypotenuse}{Perpendicular}\\\\\sec \phi =\frac{Hypotenuse}{Base}\\\\\cot \phi = \frac{Base}{Perpendicular}\\\\[/tex]
[tex]\ Base = 11 \\\ Perpendicular =60\\\ Hypotenuse= 61\\[/tex]
[tex]\sin \phi = \frac{60}{61}\\\\\cos \phi = \frac{11}{61} \\\\\tan \phi = \frac{60}{11} \\\\\ cosec \phi = \frac{ 61}{60}\\\\\sec \phi =\frac{61}{11}\\\\\cot \phi = \frac{11}{60}\\\\[/tex]
Question 1 of 25
2 Points
What can you say about the end behavior of the function f(x) = - In (2x) + 4 ?
A. Both ends decrease
B. Both ends increase
c. One end decreases and one end approaches a constant
D. One end increases and one end decreases
SHIRT
Answer:
D. One end increases and one end decreases
One end increases and one end decreases in the given function f(x) = - In (2x) + 4. Therefore, the correct option is option D.
What is mathematical function?
In mathematics, a function is a phrase, regulation, or statute that establishes the connection between an independent variable and a dependent variable.
In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences. The German mathematician Peter Dirichlet initially offered the contemporary definition of function in 1837. One end increases and one end decreases in the given function f(x) = - In (2x) + 4.
Therefore, the correct option is option D.
To know more about mathematical function, here:
https://brainly.com/question/29114832
#SPJ2
A refrigerator contains 6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, and 2 mangos
Imagine you stick your hand into the refridgerator and pull out a piece of fruit at random. what is the sample space for this process?
a. s={apple, orange, banana, pear, plum, mango}
b. s= {6,5,10,3,7,11,2}c. s= {6 apples, 5 oranges, 10 bananas, 3 pears, 7 peaches, 11 plums, 2 mangos
Answer:
s={apple, orange, banana, pear, peach, plum, mango} (option A)
Step-by-step explanation:
The sample space of an experiment is the set of all possible outcomes of that experiment.
The sample space is essential in finding the probability of an event associated with a random experiment.
In this question, the set of all possible outcomes of the experiment are apples, oranges, bananas, pears, peaches, plums and mangos.
Therefore the sample space for the process is: s={apple, orange, banana, pear, peach, plum, mango} (option A)
Where s = sample space
Though peach was omitted in the set in option A by mistake, the correct answer:
s={apple, orange, banana, pear, peach, plum, mango}
Can someone plz help me solved this problem I need help plz help me! Will mark you as brainiest!
Answer:
13 l of 15%, 13 l of 25%, 26 l of 70%
Step-by-step explanation:
solutions:
15%, 25% and 70%final solution:
52 l of 45%This includes 0.45*52l= 23.4 l acid
Let's assume:
amount of 15% solution= xamount of 25% solution= yamount of 70% solution= zand we have z=2yso there are 2 equation:
x+y+z=520.15x+0.25y+0.7z=23.4or
x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y0.15x+0.25y+1.4y=23.4 0.15x+1.65y=23.40.15*(52-3y)+1.65y=23.47.8-0.45y+1.65y=23.41.2y=23.4-7.81.2y= 15.6y=15.6/1.2y= 13 l--------
x= 52- 3*13= 13 lz= 2y= 2*13= 26 l