Answer:
46.08 students said that chicken is their favorite food.
Step-by-step explanation:
Let X denote the number of students who liked chicken.
The proportion of students who liked chicken is, p = 0.08.
About n = 576 students were surveyed about their favorite food.
Every student's answer was independent of the others.
Thus, the random variable X follows a binomial distribution with parameters n = 576 and p = 0.08.
The probability mass function of X is:
[tex]P(X=x)={576\choose x}(0.08)^{x}(1-0.08)^{576-x};\ x=0,1,2,3...576[/tex]
Then expected number of students who said that chicken is their favorite food is:
[tex]E(X)=np\\\\=576\times0.08\\\\=46.08[/tex]
Thus, 46.08 students said that chicken is their favorite food.
393.3 in 10 years investment
Step-by-step explanation:
The question is not well structured. We can say;
$393.3 in 10 years investment at rate of 10% is equivalent to what?
Given
Amount invested = $393.3 (principal)
Time = 10years
Rate = 10% (assumed rate)
Required
Amount after 10 years
Amount = Principal + Interest
First we need to get the simple interest using the formula
SI = PRT/100
SI = $393.3 * 10 * 10/100
SI = $393.3*100/100
SI = $393.3
Amount in 10years = $393.3 + $393.3
Amount in 10years = $786.6
Hence $393.3 in 10 years investment at rate of 10% is equivalent to $786.6.
Note that the rate was assumed. Any value of the rate can be used. Just employ the same calculation steps.
I need 4 answers , The cost per pound of the apples on sale is $
.The cost per pound of the apples on sale is $___
.
You can buy
pounds of apples for $18.00 ___
Since 1 pound = 16 ounces, so there are about ___
apples in each pound.
You can buy approximately ____
apples for $18.00.
if you had two = five what would five + seven be
Answer:
14
Step-by-step explanation:
2 plus 5 plus 7
In ΔXYZ the sides YZ = x, XZ = y, and YZ = z, and x>y>z. Which angle of the triangle can have measure of 60º?
Answer:
Following are the solution to this question:
Step-by-step explanation:
In the query, there is an error. This will find Angle YXZ and the angle YZX.
The student said YXZ angle and YXZ angle but he said it was incorrect. I've been doing my hardest to fix it.
[tex]\to \sin x = \frac{\text{opposite side of x}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\\to \sin x = \frac{1}{2}\\\\\to \sin x = \sin 30^{\circ}\\\\\to x = 30^{\circ} \\\\\to \angle YXZ = 30^{\circ}\\\\[/tex]
[tex]\to \cos Z = \frac{\text{Adjacent side of z}}{hypotenuse}\\\\\to \frac{x}{2x} = \frac{1}{2}\\\\ \to \cos Z = \frac{1}{2}\\\\ \to \cos Z= \cos 60^{\circ}\\\\\to Z = 60^{\circ} \\\\ \to \angle YZX = 60^{\circ}[/tex]
There were 27 meeting rooms reserved for a workshop. Each room contained 134 chairs. How many total chairs were reserved for the workshop?
Answer: 3,618
Step-by-step explanation: You multiply 27 and 134 which equals 3,618.
Answer:
There were 3,618 chairs reserved for the workshop.
Step-by-step explanation:
134 chairs per 27 rooms
134*27 = 3,618
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children
under the age of 12.
Write and solve a system of equations to represent the given scenario. Use the variables “a” for adults and “c” for children
plzz help
Answer:
Mr. Ramirez purchased 20 concert tickets for a total of $225. The concert tickets cost $15 for adults and $10 for children under the age of 12. Part A: Write a system of equations to represent the given scenario. Use the variable "a" for adults and "c" for children. 1.
Step-by-step explanation:
Hope this helps
Jackson spent 75% of his money to buy a new MP3 player. The MP3 player costs $90. How much money did Jackson have?
WILL RECIEVE ANYTHING
Answer:
wfek
Step-by-step explanation:
Answer:
120
Step-by-step explanation:
120 times 0.75 =90
Please I need this
Answer:
1) not
2) QE
3) QE
4) QE
5) QE
6) QE
7) QE
8) not
9) QE
10) not
hope this helps you!
Find the slope of the line that goes through the points (5,11) and (13,9).
Answer:
-1/4
Step-by-step explanation:
using y2-y1/x2-x1, you can get 9-11/13-5, -2/8, which gives you a slope of m=-1/4
6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?
Answer:
x < -8
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define inequality
12 < -3(x + 4)
Step 2: Solve for x
Distribute -3: 12 < -3x - 12Add 12 to both sides: 24 < -3xDivide -3 on both sides: -8 > xRewrite: x < -8Here we see that any value x that is smaller than -8 would work.
To make a shade of paint called jasper green, mix 4 quarts of green paint with 2/3 cups of black paint. How much green paint should be mixed with 4 cups of black paint to make jasper green?
Answer:
24 quarts of green paint
BRAINLIEST TO WHOEVER ANSWERS FIRST!!
Which two statements, if true guarantee that is congruent to B?
Choose 2 answers
FGBF
DHBF
HIDH
HI FG
Answer:
HI FG
Step-by-step explanation:
Guys can you plz help me Answer this QUESTION!!!!!!
Answer:
C - 9
Step-by-step explanation:
pls give branliest
Which of the following lists is in order from least to greatest?
V5.4,32,-2.
-2, 5, 4, 32
-2, 4, 3², 5
2, 32, 4, 5
Answer:
second one
Step-by-step explanation:
You go to the carnival, and how much you spend can be written as .50r + 15, where r = rides. What can the 15 mean?? What does the 50 mean??
Answer:
50 son las veses que me pasie, y el 15 son otras actividades que realice
Step-by-step explanation:
La r en ese lugar esta multiplicando al 50
Answer:
.50 means cost per ride and 15 ticket cost
Step-by-step explanation:
say there are 4 ride you want to go on, lets substitute r, rides, with 4
.50(4) + 15
.50 times 4 is 2
so now we have 2 + 15
2 + 15 = 17
so you have spent $17 at the carnival.
Graph f(x)=-2|x+4| khan academy
Answer:
Step-by-step explanation:
Answer:
Vertex: (-4,0); points down; y-intercept: -8
Step-by-step explanation:
Please help me.......
Answer:
x=206
Step-by-step explanation:
can someone pls give me 2 mo brainlist
Answer:
i cant do dat because im broke sorry
Step-by-step explanation:
Una antena de televisión será sujeta con un cable de 6 m de longitud de la parte superior de la misma, a una argolla que se encuentra en el piso de la azotea, con un ángulo de inclinación de 60° con respecto al piso, ¿qué longitud tiene la antena?
Answer:
5.196 m
Step-by-step explanation:
p = La perpendicular del triángulo es la longitud de la antena.
h = La hipotenusa del triángulo es la longitud del cable conectado a la parte superior del poste = 6 m
[tex]\theta[/tex] = Incline el cable con el suelo = [tex]60^{\circ}[/tex]
De las funciones trigonométricas sabemos que
[tex]\sin\theta=\dfrac{p}{h}\\\Rightarrow p=h\sin\theta\\\Rightarrow p=6\times \sin60^{\circ}\\\Rightarrow p=6\times\dfrac{\sqrt{3}}{2}\\\Rightarrow p=3\sqrt{3}\\\Rightarrow p=3\times 1.732=5.196\ \text{m}[/tex]
La longitud de la antena es 5.196 m.
PLEASE HELP ME WITH THESE QUESTIONS ASAP
Answer:
D.
Step-by-step explanation:
Answer:
the answer is d 64 because a rational number is a whole number not decimals.
Step-by-step explanation:
brainliest pls
I NEED HELP ASAP!!!!!
Answer:
x actually = 13 and its step 2
Step-by-step explanation:
The directrix of a parabola is y = 4. Its focus is (2,6).
What is the standard form of the parabola?
Answer:
Step-by-step explanation:
The standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.
What is a parabola ?
A parabola is a plane curve that is produced when a point moves so that its distance from a given point equals its distance from a fixed line.
We know that , the standard form or general equation of a parabola is given by :
y = a ( x - h )² + k
where : vertex is (h, k) and focus ( h , k + p)
We know that here directrix is y = k - p and a is a = [tex]\frac{1}{4p}[/tex]
It is given that focus is (2 , 6).
From focus :
h = 2 and k + p = 6
whereas from directrix :
k - p = 4
Adding both
k + p = 4
k - p = 6
We get :
2k = 10
or
k = 5
So ,
p = 1
And vertex will be :
(h , k) = (2 , 5).
The vertical distance from vertex to directrix p = 1 :
y = a ( x - 2 )² + 5
here , a = [tex]\frac{1}{4p}[/tex] or a = 1/4
So , the standard form of given parabola will be :
y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5
Therefore , the standard form of parabola having vertex ( 2 , 5) is given by y = [tex]\frac{1}{4}[/tex] ( x - 2 )² + 5.
Learn more about parabola here :
https://brainly.com/question/14502549
#SPJ2
Every female bear has 3 baby cubs. What is the constant of proportionality for the ratio of cubs to female bears? (4 points)
one-half
one-third
3
2
The constant of proportionality for the ratio of cubs to female bears is 3.
The constant of proportionality is typically used when we are comparing something with another thing.
In this case, since every female bear has 3 baby cubs, the constant of proportionality for the ratio of cubs to female bears will be:
= 3/1
= 3
In conclusion, the correct option is 3.
Read related link on:
https://brainly.com/question/18636645
5:y in the equation given
below is called:
4 - 3y
Answer:
variable
Step-by-step explanation:
What is the remainder when 4x3+8x−32 is divided by x+10?
Two groups are going on a trip to the theater. The first group has 30 students in for adult chaperones. The second group has 25 students in for adult chaperones. The cost, in dollars, for each student ticket, S, and each adult ticket, A, can be determined using the system of equations below
Answer:
$20
Step-by-step explanation:
Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.
30s+4a=720
25s+4a=620
What is the cost for each student ticket?
Solution:
30s+4a=720
(1)
25s+4a=620 (2)
Subtract (2) from (1)
30s - 25s = 720 - 620
5s = 100
Divide both sides by 5
s = 100/5
= 20
s = $20
Substitute the value of s into (1)
30s + 4a = 720
30(20) + 4a = 720
600 + 4a = 720
4a = 720 - 600
4a = 120
a = 120 / 4
= 30
a = $30
Each student tickets cost $20
8% of $40 is $
plzzz help
Answer:
$3.2
Step-by-step explanation:
so there's a strategy to do this its very helpful!
100%-$40
8%-x
~cross multiply~
100x=320
÷100 ÷100
________________
x=$3.2
Hope this helps :D
Find the length of a rectangular lot with a perimeter of 144 m if the length is 6 m more than the width. A. 72m B. 39 m
C. 33 m
D. 78 m
Answer:
Correct Answer is B
39 m
Step-by-step explanation:
Perimeter is the sum of all sides, and if the length is 6m more than the width, then is 39
39 + 39 = 78
144 - 78 = 66
66/2 = 33
39m is 6m more than 33m.
The sum of all sides 39 + 39 + 33 + 33 = 144
Which of the following is the graph of the solution set of:
y< -3 or y<1
I NEED HELP ASAP!!
can someone help me with this?
Answer:
Step-by-step explanation:
If you write 1 instead of y, x would be 5/8 so ratio is 1/5:8=8/5