Answer:
941
Step-by-step explanation:
= 1, 2, 3...900 is the number of parents that are going to attend the ceremony.
we are given a random number of parents (0 1 2)
each of these random numbers have a probability of 1/3
so we multiply the numbers by their probability
E(X) = 0*1/3 + 1*1/3 +2*1/3
= 1
E(X²) = 0²*1/3 + 1²*1/3 + 2²*1/3
= 5/3
we calculate the variance
= E(X²)-[E(X)²
= 5/3 - 1²
= 2/3( got this by taking the lcm)
∑Xi with n = 900 will have to be the number of parents attending this ceremony for all seniors
E|S| = 900 * 1
= 900
var |S| = 900*2/3
=600
we are usng normal distribution to solve this
μ = E(S) = 900
σ² = var(S) = 600
for a seating area wth 900 seats now we are to find the probability that all the parents present will have seats
s-μ/√σ
900 -900/√600
= 0
p(z≤0)
= 0.5
for a seating area wth 925 seats we are to fnd probability that all parents will be seated
= s-μ/√σ
= 925-900/√600
= p(z≤1.0208)
= 0.84623
going to the table of standard normal distribution we have
p(z≤1.644845)= 0.95
s-μ/σ≤1.644845 = 0.95
we cross multply
s-μ≤1.644845σ
we make s subject of the formula
s ≤ μ+1.644845σ = 0.95
we now μ = 900 and
σ = √600
900+1.644845*√600
=900 +40.388
=940.388
= 941
we have that the minimum number of seat requred for all parents n attendance to be seat is 941 at a probability of 0.95
We have the minimum number of seats required for all parents' attendance to be seat is 941 at a probability of 0.95.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
1, 2, 3, .....900 is the number of parents that are going to attend the ceremony.
A random number of parents (0, 1, 2)
The probability is 1/3.
[tex]\rm E(X) = 0 * \dfrac{1}{3} + 1*\dfrac{1}{3}+2*\dfrac{1}{3} = 1\\\\\\E(X^2) = 0^2*\dfrac{1}{3}+1^2*\dfrac{1}{3}+2^2*\dfrac{1}{3}= \dfrac{5}{3}[/tex]
Then the variance will be
[tex]\rm Var = E(X^2) -[E(X)]^2\\\\Var = \dfrac{5}{3} -1 \\\\Var = \dfrac{2}{3}[/tex]
∑Xi with n = 900 will have to be the number of parents attending this ceremony for all seniors
[tex]\rm E \left| S \right| = 900* 1 \\\\E \left| S \right| = 900[/tex]
And
[tex]\rm Var \left| S \right| = 900 * \dfrac{2}{3} \\\\Var \left| S \right| = 600[/tex]
Then by the normal distribution, we have
[tex]\rm \mu = E(S) = 900\\\\\sigma ^2 = Var (S) = 600[/tex]
For a seating area with 900 seats then the probability of the parents present will have seats.
[tex]\rightarrow \dfrac{S - \mu }{\sqrt{\sigma}}\\\\\\\rightarrow \dfrac{900-900}{\sqrt{600}}\\\\\\\rightarrow 0[/tex]
For a seating area with 925 seats then the probability of the parents present will have seats.
[tex]\rm \rightarrow \dfrac{S - \mu }{\sqrt{\sigma}}\\\\\\\rightarrow \dfrac{925-900}{\sqrt{600}}\\\\\\\rightarrow P(z \leq 1.0208) \\\\\rightarrow 0.84623[/tex]
From the standard normal distribution table, we have
[tex]\rm p(z\leq 1.644845) = 0.95\\\\\dfrac{S-\mu}{\sqrt{\sigma }} \leq 1.644845= 0.95\\\\S \leq \mu + 1.644845 \sqrt{\sigma }= 0.95\\\\S=900 + 1.644845*\sqrt{600}\\\\S= 941[/tex]
We have the minimum number of seats required for all parents' attendance to be seat is 941 at a probability of 0.95.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Quadrilateral $ABCD$ has right angles at $B$ and $D$, and $AC=3$. If $ABCD$ has two sides with distinct integer lengths, then what is the area of $ABCD$? Express your answer in the simplest radical form.
Answer:
[tex]\sqrt{2}+\sqrt{5}[/tex]
Step-by-step explanation:
Since there are 2 diagonal angles that are 90 degrees, we can figure out the shape is made of 2 right triangles, so we can use the Pythagorean theorem to find out the length of each side.
The problem said that there must be 2 distinct sides with integer lengths, but there are no 2 integers that satisfy [tex]x^2+y^2 = 3^2[/tex] so we can deduce that both right triangles contain 1 integer value side and 1 non-integer value side.
There are only 2 positive integer values that would fit in [tex]x^2+y^2 = 3^2[/tex] for x: 1 and 2. That means the 2 triangles' equation is:
[tex]1^2+\sqrt{8}^2 = 3^2[/tex] and [tex]2^2 + \sqrt{5}^2 = 3^2[/tex].
Now, since these are right triangles, their areas are just going to be their 2 legs multiplied by 1/2.
The first triangle's area is:
[tex]1\cdot\sqrt{8}\cdot1/2 = 1\cdot2\sqrt{2}\cdot1/2 = \sqrt{2}[/tex]
The second triangle's area is:
[tex]2\cdot\sqrt{5}\cdot1/2 = \sqrt{5}[/tex]
The total area of the quadrilateral would be the sum of the 2 triangles, which is just [tex]\sqrt{2}+\sqrt{5}[/tex].
I hope this helped you.
The total area of the quadrilateral ABCD is [tex](\sqrt{2}+ \sqrt{5} )[/tex] and this can be determined by using the formula of the area of the triangle.
Given :
Quadrilateral ABCD has right angles at B and D, and AC=3. ABCD has two sides with distinct integer lengths.The following steps can be used in order to determine the area of ABCD:
Step 1 - Let the length of the segment AD be 'x' and the length of the segment CD be 'y'.
Step 2 - Now, apply the Pythagorean theorem on the triangle ACD.
[tex]x^2+y^2= 3^2[/tex]
Step 3 - According to the given data, ABCD has two sides with distinct integer lengths. So, there are two possibilities:
[tex]1^2+(\sqrt{8} )^2= 3^2[/tex]
[tex](2)^2+(\sqrt{5} )^2=3^2[/tex]
So, the possible sides of the quadrilateral will be [tex]\rm 1, \;2,\; 2\sqrt{2},\;and \;\sqrt{5}[/tex].
Step 4 - So, the area of the triangle ABC is:
[tex]A=\dfrac{1}{2}\times \sqrt{8} \times 1\\A = \sqrt{2}[/tex]
Step 5 - Now, the area of the triangle ACD is:
[tex]A'=\dfrac{1}{2}\times \sqrt{5} \times 2\\A' = \sqrt{5}[/tex]
Step 6 - So, the total area of the quadrilateral ABCD is:
[tex]{\rm Area } = \sqrt{2} + \sqrt{5}[/tex]
The total area of the quadrilateral ABCD is [tex](\sqrt{2}+ \sqrt{5} )[/tex].
For more information, refer to the link given below:
https://brainly.com/question/25240753
What is the first step to solving this equation? -5c + 6 = -4
Answer:
subtract 6 from both sides.
-5c = -10
then divide both sides by -5 (negative divided by a negative is a positive)
c = 2
Step-by-step explanation:
Step-by-step explanation:
Hey, there!!
The given equation is : -5c + 6 = -4
The first step olis to take (+6) in right side,
[tex] - 5c = - 4 - 6[/tex]
now, another step is add ( -4 and -6)
[tex] - 5c = - 10[/tex]
Now, divide -10 by -5.
[tex]c = \frac{ - 10}{ - 5} [/tex]
Therefore, c= 2.
Hope it helps..
How is the following decimal written using bar notation? 3.126666666666...
Answer:
[tex]3.126666666666...=3.12\overline{6}[/tex]
Step-by-step explanation:
If the decimal number is repeating, then bar notation is used. A symbol called "bar" is used to express that type of numbers. it is placed at the top of the number that is repeating.
We have a number i.e. 3.126666666666...
We need express it in bar notation.
In this problem, 6 is repeating. It means "bar" is placed over 6.
So,
[tex]3.126666666666...=3.12\overline{6}[/tex]
It is the bar notation of 3.126666666666...
Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.
Then
1. XE(2) =
2. XP(-2) =
3. {z 62: XE() = 1} =
Answer:
[tex]\mathbf{X_E (2) = 1}[/tex]
[tex]\mathbf{X_E (-2) = 0 }[/tex]
[tex]\mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]
Step-by-step explanation:
Let E be the set of all even positive integers in the universe Z of integers,
i.e
E = {2,4,6,8,10 ....∞}
[tex]X_E : Z \to R[/tex] be the characteristic function of E.
∴
[tex]X_E(x) = \left \{ {{1 \ if \ x \ \ is \ an \ element \ of \ E} \atop {0 \ if \ x \ \ is \ not \ an \ element \ of \ E}} \right.[/tex]
For XE(2)
[tex]\mathbf{X_E (2) = 1}[/tex] since x is an element of E (i.e the set of all even numbers)
For XE(-2)
[tex]\mathbf{X_E (-2) = 0 }[/tex] since - 2 is less than 0 , and -2 is not an element of E
For { x ∈ Z: XE(x) = 1}
This can be read as:
x which is and element of Z such that X is also an element of x which is equal to 1.
∴
[tex]\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\ \mathbf{\{ x \in Z: X_E(x) = 1\} = E}[/tex]
E = {2,4,6,8,10 ....∞}
The data show the number of hours of television watched per day by a sample of people. Use technology to answer parts (a) and (b) below. a. Find the data set's first, second, and third quartiles. nothing nothing nothing (Type integers or decimals. Do not round.) b. Draw a box-and-whisker plot that represents the data set. Choose the answer below. Note that different technologies will produce slightly different results. A. 0 3 6 9 A boxplot has a horizontal axis labeled from 0 to 10 in increments of 1. Vertical line segments are drawn at the following plotted points: 0, 1, 6, 7, 9. A box encloses the vertical line segments at 1, 6, and 7 and horizontal line segments extend outward from both sides of the box to vertical line segments at 0 and 9. All values are approximate. B. 0 3 6 9 A boxplot has a horizontal axis labeled from 0 to 10 in increments of 1. Vertical line segments are drawn at the following plotted points: 0, 3, 6, 7, 9. A box encloses the vertical line segments at 3, 6, and 7 and horizontal line segments extend outward from both sides of the box to vertical line segments at 0 and 9. All values are approximate. C. 0 3 6 9
*see attachment for the data set given
Answer:
[tex] Q_1 = 2.5 [/tex]
[tex] Q_2 = 5.5 [/tex]
[tex] Q_3 = 8 [/tex]
The box plot is shown in the attachment below.
Step-by-step Explanation:
a. To find Q1, Q2 (median), and Q3, first order the data from the least to the largest. We would have:
0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9
Q2 which is also the median, is the middle value that divides the data set into two equal parts. In the data set given, Q2 is the data value between the 14th and 15th data value. The average of the 14th and the 15th data value would give us Q2.
0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, [5,Q2, 6], 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9
They are 5 and 6. Average = [tex] \frac{5+6}{2} = 5.5 [/tex]
Q1 is the middle value of the lower part of the data set from Q2 down to your left.
0, 1, 1,1, 2, 2, [2, Q1, 3,] 4, 5, 5, 5, 5, 5, Q2, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9
Q1 = average of the 7th and 8th value = [tex] \frac{2+3}{2} = 2.5 [/tex]
Q3 = [tex] \frac{8+8}{2} = 8 [/tex]
0, 1, 1,1, 2, 2, 2, 3, 4, 5, 5, 5, 5, 5,Q2, 6, 6, 7, 7, 7, 8, [8, Q3, 8], 8, 9, 9, 9, 9, 9.
1. Brandon has $12. He will eam $8 for every
hour he works. He would like to have $52 at
the end of the day. Let h represent the
number of hours Brandon works.
Equation:
Solve it to find how many hours he needs
Answer:52-12=$40
1/8*40 = 5 hours.
Step-by-step explanation:
The derivative of the trigonometric function. Please help me.
[tex]y=\dfrac{sin(x^2)}{x^3}[/tex]
Apply the quotient rule:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3\frac{\mathrm d\sin(x^2)}{\mathrm dx}-\sin(x^2)\frac{\mathrm dx^3}{\mathrm dx}}{(x^3)^2}[/tex]
Chain and power rules:
[tex]\dfrac{\mathrm d\sin(x^2)}{\mathrm dx}=\cos(x^2)\dfrac{\mathrm dx^2}{\mathrm dx}=2x\cos(x^2)[/tex]
Power rule:
[tex]\dfrac{\mathrm dx^3}{\mathrm dx}=3x^2[/tex]
Putting everything together, we have
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{x^3(2x\cos(x^2))-\sin(x^2)(2x\cos(x^2))}{(x^3)^2}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^3\cos(x^2)-2x\sin(x^2)\cos(x^2)}{x^6}[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x^2\cos(x^2)-\sin(2x^2)}{x^5}[/tex]
When [tex]x=\sqrt{\frac\pi2}[/tex], we have
[tex]\cos\left(\left(\sqrt{\dfrac\pi2}\right)^2\right)=\cos\left(\dfrac\pi2\right)=0[/tex]
[tex]\sin\left(2\left(\sqrt{\dfrac\pi2}\right)^2\right)=\sin(\pi)=0[/tex]
so the derivative is 0.
12/5x - 2x = 3/10
solve for x
And show steps plz
Answer:
x=3/4
Step-by-step explanation:
First, we must combine like terms and find the common denominator (which is 5):
12/5x-2x
12/5x-10/5x=2/5x
Then, we cross multiply
[tex]\frac{2x}{5} =\frac{3}{10}[/tex]= 2x(10)=(3)(5)=20x=15
Then, we divide by 20 to get x:
x=15/20
and finally, we simplify the fraction
x=3/4
x^2+6x-6=10 what’s the solution?
Answer:
-8,2
Step-by-step explanation:
Factoring:
(x+8)(x-2)
x is -8 or 2
Answer:
-8 and 2
Step-by-step explanation:
option 2 or b
Use the method of Lagrange Multipliers to find any maximum or minimum values of the function f(x,y)=x2+y2 subject to the constraint xy=1.
Answer:
possible maximum and minimum values : f (1,1), f (-1,-1)
Step-by-step explanation:
Given function :
f(x,y) = x^2 + y^2
constraint = xy = 1
attached below is the detailed solution of the method of using Lagrange method of Multipliers to find the maximum and minimum values of the function
what is 3 feet, 3 feet, and 5 feet. What the total length?
Answer:
45 ft cubed
Step-by-step explanation:
3*3*5 is 9*5 which is 45 feet cubed.
answer the following Question
Answer:
a)$15.95
b) 8kg
Step-by-step explanation:
a)Approach this question by finding how much does it cost for 1g
So,
$2.1/50=$0.042per gram
then, multiple 380 to get the cost of sweets for 380 g
$0.042/gram*380gram=$15.96(Note: the gram cancel out each other)
Which is $15.95 as the question requested
b)This question stated that 3/4 of the metal has 15 kg
So, in order to find the total mass of metal we invert the 3/4 fraction
e.g 4/3*15=20kg
now we have the total mass we can find the mass for 2/5 of the metal
2/5*20kg=8kg
Angle Pairs Introduction
1. A shirt is priced $24.99. and is on sale for 20% off and subject to 5% sales tax.
final cost of the shirt?
I
Answer:
$20.99
Step-by-step explanation:
The sale causes the original price to be multiplied by 1 - 20% = 80%. The tax causes the sale price to be multiplied by 1 + 5% = 105%. The net effect is that the original price is multiplied by the product of these values:
final cost = $24.99(0.80)(1.05) = $20.99
please help!!!!! thank uuuuuuu
Step-by-step explanation:
here's the answer
Hope it helps◉‿◉
Derivative Function.. Could you solve this, please?
Hello, please consider the following.
f is differentiable so g is differentiable and we we can compute the derivative of g.
[tex]\text{derivative of } u^2\text{ is } 2uu'\\\\\text{derivative of } f(f(x^3)+x)\text{ is } (3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{So, }\\\\g'(x)=2f(f(x^3)+x)(3x^2f'(x^3)+1)f'(f(x^3)+x)\\\\\text{ We replace x par 1}\\\\g'(1)=2f(f(1)+1)(3f'(1)+1)f'(f(1)+1)\\\\g'(1)=2f(2)(3f'(1)+1)f'(2)\\\\\text{ We can put f'(2) in one part of the equation}\\\\f'(2)=\dfrac{2f(2)(3f'(1)+1)}{g'(1)}=\dfrac{2*5*(3*(-3)+1)}{2}\\\\=5*(-9+1)\\\\=5*(-8)\\\\=\boxed{-40}[/tex]
Thank you.
What could be the rule ?
Answer:
Divide by 3
Step-by-step explanation:
Answer:
Sub. 10
Step-by-step explanation: input is 15 and output is 5, So i would say 15-10= 5 I would think the rule is Subtract 10, im Guessing not for sure tho! :DA Ferris wheel completes 4 revolutions in 10 minutes. The radius of the Ferris wheel is 40 feet.
What is the linear velocity of the Ferris wheel in inches per second?
Enter your answer, rounded to the nearest tenth, in the box.
Answer:
5.0in/secStep-by-step explanation:
[tex]Circumference = 2\pi r\\\\2 \pi \times 40 ft = 80\pi ft = 253.3274123 ft\\\\= 253.3274123 ft \times 12 \: \frac{inches }{feet} \\\\ = 3015.928947 in\\\\\\10 min = 10 min \times 60 \: sec / min = 600 sec\\\\4 \: revolutions / 10 min = 4 \times 3015.928947\: in / 600 sec \\\\ = 5.0 in/sec[/tex]
The linear velocity of the Ferris wheel is 20.1 inches per secnod.
What is the angular velocity of a rotating body?Suppose the body revolves θ angle in t time then the angular velocity of the body is
ω= θ/t
What is the linear velocity of a rotating body?Suppose the rotating body covers 's' distance in 't' which is actually 'rθ' distance in 't' time because, s=rθ.
Then the linear velocity of the rotating body is
v=s/t=r(θ/t)=r ω
i.e. v=r ω.
How to solve the problem?The speed of the Ferris wheel is given by 4 revs in 10 minutes. That means 4(2π) radians in 10 minutes.
Hence, the angular velocity of the Ferris Wheel is
ω= 8π/(10×60) rad/s= π/(75) rad/s
Hence, the linear velocity of the Ferris Wheel is
v=r ω= 40 Feet ( π/(75) rad/s)
= (12×40π)/(75) inch/s
= 20.1062 inch/s
≈20.1 inch/s (rounded to the nearest tenth)
To learn more about the Angular velocity visit- https://brainly.com/question/13649539?referrer=searchResults
#SPJ2
64. Determine whether the statement is true or false: The product of a rational and irrational number is
always irrational
Answer: TRUE
Step-by-step explanation:
you can't never change an irrational number into rational number
2 × √3 = 2√3 ⇔ still an irrational number
Answer:
False
Step-by-step explanation:
The product of two irrational number 2 is irrational. False. Counterexample: (√2) ∙ (−√2) = 2. (c) The sum of a rational number and an irrational number is irrational.
What is construction
Answer:
Consrution is the steps of building buildings or town.
Step-by-step explanation:
CONSTRUCTION IS THE ACT OF MAKING 《OR》BUILDING SOMETHING.......
HOPE IT HELP.......❣❣❣
DUE AT 3:30 PLEASE HHHEEELLLLPPPPPP 100 POINTS IF CORRECT
Alyssa’s extended family is staying at the lake house this weekend for a family reunion. She is in charge of making homemade pancakes for the entire group. The pancake mix requires 2 cups of flour for every 10 pancakes. •Use the value of the ratio to fill in the following two multiplicative comparison statements. 1. The number of pancakes made is ________ times the amount of cups of flour needed. 2. The amount of cups of flour needed is ________ of the number of pancakes made. Question 1 options: Blank # 1 _____ Blank # 2_____
Answer:
1. 5 times
2. 1/5
Step-by-step explanation:
I can explain later if you want, but you seem like you're in a rush so I'll do it later :)
Answer please ! I’ll give 25 points !! Thank you
Answer:
a. 7%
b. 13%
c. 3%
d. I can conclude that poor nutrition affects academic performance because the chart shows that people with poor nutrition got the worst scores out of the people with better nutrition. The chart also shows that there are more kids below average than kids with excellent nutrition. Kids with poor nutrition also have less people above average then any other category.
Step-by-step explanation:
For the percentages, it is just a number out of the total, which is 1000.
Percentages are a number out of 100. Like, 35/100 is 35%. So the total is 1000 and if you divide it by 10, you'll get 100. That means you have to only divide the amount of kids in a category by 10, and you'll get the percentage.
Below average kids with poor nutrition has 70 kids.
70/1000. Divide 1000 by 10 to get 100. Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 70. 70 divided by 10 is 7, so it's 7%. It is sort of like a ratio!
Average kids with poor nutrition has 130 kids.
130/1000. Divide 1000 by 10 to get 100. Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 130. 130 divided by 10 is 13, so it's 13%.
Above average kids with poor nutrition has 30 kids.
30/1000. Divide 1000 by 10 to get 100. Since you divided the denominator, 1000, by 10, you need to do the same for the numerator, which is 30. 30 divided by 10 is 3, so it's 3%.
At Ajax Spring Water, a half-liter bottle of soft drink is supposed to contain a mean of 520 ml. The filling process follows a normal distribution with a known process standard deviation of 4 ml.
(a) The normal distribution should be used for the sample mean because:________.
1. the sample population has a large mean.
2. the population distribution is known to be normal.
3. the population standard deviation is known.
4. the standard deviation is very small.
(b) Set up hypotheses and a two-tailed decision rule for the correct mean using the 5 percent level of significance.
The hypothesis for a two-tailed decision is:_______.
1.. H0: μ ≠520, H1: μ = 520, reject if z < −1.96 or z > 1.96
2. H0: μ ≠520, H1: μ = 520, reject if z > 1.96 or z < −1.96
3. H0: μ = 520, H1: μ ≠ 520, reject if z > 1.96 or z < −1.96
4. H0: μ =520, H1: μ ≠ 520, reject if z > −1.96 or z < 1.96
Answer:
A) Population standard deviation is known.
B) Option 3
H0: μ =520,
H1: μ ≠ 520
z > 1.96 or z < -1.96
Step-by-step explanation:
A) The normal distribution should be used for the sample mean because the population standard deviation is known. Usually, when the standard deviation is unknown we don't use normal distribution except there is an underlying normal approximation.
B) Null Hypothesis:H0: μ =520,
Alternative hypothesis H1: μ ≠ 520
At 5% level of significance, from standard tables, we will reject H0 if;
The test statistic; z > 1.96 or z < -1.96
1. Type your answer below. 2. Type your answer below (no spaces! for example x=19) 3. Type your answer below (no spaces! for example x=19) Need help with all three answers please quick
Answer:
1) 12
2) c=-25
3) x = -16 2/3
Step-by-step explanation:
1) ..........................
6*(4-10+8) =6*(- 6+8) =6*2= 122) ..........................
34 + 2c = -162c = - 16 -342c = -50c = -50/2c=-253) ..........................
40 = -3x - 1040+ 10 = -3x-3x = 50x = 50/-3x=-16 2/3There are 9 classes of 25 students each 4 teachers in two times as many chaperones as teachers each bus hold a total of 45 people what is the least number of busses needed for the field trip
Answer:
Least number of bus require for trip = 5 buses (Approx)
Step-by-step explanation:
Given:
Total number of classes = 9
Number of student in each class = 25
Number of teacher = 4
Number of chaperones = Double of teacher
Bus hold = 45 people
Find:
Least number of bus require for trip
Computation:
Total number of student = 9 × 25
Total number of student = 225
Number of chaperones = 4 × 2
Number of chaperones = 8
Total people = 225 + 8 + 4
Total people = 237
Least number of bus require for trip = Total people / Bus hold
Least number of bus require for trip = 237 / 45
Least number of bus require for trip = 5.266
Least number of bus require for trip = 5 buses (Approx)
Answer:
Least number of bus require for trip = 5 buses
Step-by-step explanation:
Calculate the mean deviation by median (by using the mid-point(x) of leaf weights. b) A fair die is rolled. Find the probability of getting an odd number or a prime number or both?
Answer:
hello attached below is the required table that is missing and the completed table as well
A) mean deviation = 0.1645
B) 2/3
Step-by-step explanation:
From the table we calculated the midpoint value (x) and c.f
N = 27
median class = 2.35 to 2.45
median = l + [ (N/2) - cf / F ] * H
= 2.35 + [ (13.5 - 13) / 6 ] *0.1 = 2.3583
hence mean deviation by median
= summation of fi |xi -M| / summation of fi
= 4.4417 / 27 = 0.1645
B ) probability of getting an odd number or prime number or both
the probability of an odd number = 1/2
also the probability of an even number = 1/2
while the probability of getting neither of them = 1/3
hence the probability of getting odd or prime or both
= 1/2 + 1/2 - 1/3 = 2/3
what percent of 6.2 is 14
Answer:
0.87
Step-by-step explanation:
33505 divide 160 in fraction
Answer: The answer is 209.40625
The fractional equivalent of 33505 divided by 160 is 6701/32 .
Given,
33505/160
Now,
To get the fractional equivalent of 33505/160,
Divide numerator and denominator by the common factor .
So divide numerator and denominator by 5.
33505/5 = 6701
160/5 = 32
Now the simplified fraction is 6701/32.
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Where does the graph of the line 3x – 4y = 12 intersect the y-axis?
A. (4,0)
B. (-4, 0)
C. (0, 3)
D. (0, -3)
Answer
[0,-3] should be the right answer
The line should intersect at y axis i.e x=0
Then put the value of x as zero in the equation to find the value of y.
3*0-4y=12
-4y=12
y=12/-4=-3
y=-3 ..
HOPE THIS HELPS YOU
The following data shows the number of laps run by each participant in a marathon. 46 65 55 43 51 48 57 30 43 49 32 56Which of these choices display the correct stemplot?A. 3 0 2 4 3 6 8 9 4 1 3 5 6 7 6 5B. 3 0 2 4 3 3 6 8 9 5 1 5 6 7 6 5
Answer:
The Stem plot is displayed below.
Step-by-step explanation:
A Stem Plot is a chart for demonstrating the distribution of numeric variables .
It is used to analyze the shape of the distribution.
The data provided is as follows:
S = {46, 65, 55, 43, 51, 48, 57, 30, 43, 49, 32, 56}
The Stem plot is displayed as follows:
3 | 0 2
4 | 3 3 6 8 9
5 | 1 5 6 7
6 | 5
A record weight for a red snapper was 46 pounds. A record weight for a sturgeon was 468 pounds. About how many times heavier than the red snapper was the sturgeon?
Answer:
10.17
Step-by-step explanation:
To find the answer the this question we must divide "468" by "46". We then get the answer 10.173913....... I rounded it to the hundredths place.