Answer:
Hence, the required probability is [tex]0.0004[/tex].
Given :
[tex]90\%[/tex] of the booked passengers arrive for the flight.
Number of booked passengers n [tex]=318[/tex]
Number of seats available x [tex]=310[/tex]
To find :
The probability that if the company books 318 persons.
Explanation :
[tex]n=318,x=310[/tex]
[tex]P=0.09(90\%)[/tex]
Mean [tex]\bar{x}=nP[/tex]
[tex]\Rightarrow \bar{x}=318\times 0.09[/tex]
[tex]\Rightarrow \bar{x}=28.62[/tex]
Standard deviation [tex]\sigma =\sqrt{nPq[/tex] where [tex]q=1-P[/tex]
[tex]\Rightarrow \sigma =\sqrt{318\times 0.09\times 0.91}[/tex]
[tex]\Rightarrow \sigma=\sqrt{26.0442}[/tex]
[tex]\Rightarrow \sigma =5.1033[/tex]
Required probability[tex]=P(x>310)[/tex]
[tex]=1-P(x<310)[/tex]
[tex]=1-P(\frac{x-\bar{x}}{\sigma}<\frac{310-28.62}{5.1033})[/tex]
[tex]=1-P(z<55.1368)[/tex]
[tex]=1-0.9995[/tex]
[tex]=0.0004[/tex]
48
A customer buys two packets of meat.
One packet weighs 2.20 kg and the other packet
weighs 1.90 kg.
What is the total weight?
a3.10 kg
b3.11 kg
c4.01 kg
d4.10 kg
-4+3b^2=143
Simplest radical form
Answer:
[tex] - 4 + 3b {}^{2 } = 143 \\ 3b {}^{2} = 143 + 4 \\ 3b {}^{2} = 147 \\ b {}^{2} = \frac{147}{3} \\ b {}^{2} = 49 \\ b = 7[/tex]
help is very much appreciated!
Answer:
b and a I hope I am right plz tell me the correct answer if I'm wronh
The Skate Center charges a $50 flat fee kick-back party rental and $5.50 for each person who attends. Your parents gave you no more than $300 to spend on the party. How many people can you invite to the party without going over budget? I NEED THE ANSWER QUICK!
Answer: 45 people
Step-by-step explanation:
Data: $50 to rent the Skate Center
$5.50 for each person who attends
Limit of spending: $300
How many people can attend=x
Step one, Make the equation
$5.50x+$50=$300
Reason: Since we know that amount of people(x) multiplied by $5.50 added to $50 will get us $300, we can make an equation from that. The equation will make the problem simpler to solve.
Step two, Start isolating x by subtracting $50 on both sides
$5.50x+$50-50=$300-50=$5.50x=$250
Reason: Since we have to find x, we have to isolate it. The first step in doing that is subtracting $50 by 50 to get rid of it. However, since what you do to one side, you do to the other, you have to subtract $300 by 50 to get $250.
Step three, Divide by 5.50 on both sides
$5.50x/5.50=$250/5.50=x=45.454545454-
Reason: Since we have to isolate x and 5..50 is being multiplied by x, you have to divide it by 5.50 to get rid of 5.50. What you do to one side, you do to the other so you divide 250/5.50 to get 45.4545454545-.
Since this is a irl problem, you have to round it to 45 people
Answer: 45 people
I hope this helps!
Determine the lengths of both missing sides
45°
у
5
[tex]x = \frac{10}{\sqrt{2}}\\\\y = 5[/tex]
50 POINTS
Solve by linear combination
2x-4y=4
x-4y=10
Write your answer as an ordered pair with no spaces (x,y)
Answer:
(1/2,1/4) because m= 1/5 and m= 1/2 and te equation is y=1/4x - 5/2 and y= 1/2x - 1
Substracting both
[tex]\\ \sf\Rrightarrow x=4-10=-6[/tex]
Putting in eq(2)
[tex]\\ \sf\Rrightarrow -6-4y=10[/tex]
[tex]\\ \sf\Rrightarrow -4y=16[/tex]
[tex]\\ \sf\Rrightarrow y=-4[/tex]
Hence our solution is
(x,y)=(-6,-4)Evaluate the expression.
6^−2
Answer:
0.02777777777
sorry if i am wrong
Step-by-step explanation:
Answer:
0.0277777778
Step-by-step explanation:
Simplify
-6 + 2a + 1 + 2a
Answer:
- 5 + 4a
Step-by-step explanation:
- 6 + 2a + 1 + 2a
- 6 + 1 + 4a
- 5 + 4a
Find the missing number so that the equation has no solutions.
__x - 11 + 6x = 3x + 20
the answer for this equation is -3x
los trabajadores de una mina se encuentran a 20 metros bajo tierra .Si excavan 3 metros desde alli suben otros 8 metros para coger una caretilla a que altura estaba la carretilla
Step-by-step explanation:
la carretilla estaba a unos 15 metros de altura
Given The recourse recursive formula, find the first four terms:
Answer:
c
Step-by-step explanation:
we are given that
[tex] \displaystyle a_{n} = - 3 \: \cdot a_{n - 1} \\ a_{1} = 45[/tex]
we are already given our first term i.e 45
for second term
[tex] \displaystyle a_{2} = - 3 \: \cdot a_{2- 1} [/tex]
simplify substraction:
[tex] \displaystyle a_{2} = - 3 \: \cdot a_{1} [/tex]
since we have [tex]a_1=45[/tex]
substitute:
[tex] \displaystyle a_{2} = - 3 \: \cdot 45[/tex]
simplify multiplication:
[tex] \displaystyle a_{2} = - 135[/tex]
for third term
[tex] \displaystyle a_{3} = - 3 \: \cdot a_{3- 1} [/tex]
simplify Substraction:
[tex] \displaystyle a_{3} = - 3 \: \cdot a_{2} [/tex]
as [tex]a_2=-135[/tex]
substitute:
[tex] \displaystyle a_{3} = - 3 \: \cdot - 135[/tex]
simplify multiplication:
[tex] \displaystyle a_{3} = 405[/tex]
for forth term
[tex] \displaystyle a_{2} = - 3 \: \cdot a_{4- 1} [/tex]
simplify Substraction:
[tex] \displaystyle a_{2} = - 3 \: \cdot a_{3} [/tex]
substitute:
[tex] \displaystyle a_{2} = - 3 \: \cdot 405[/tex]
simplify multiplication:
[tex] \displaystyle a_{2} = - 1215[/tex]
hence,
the first four terms are 45,-135,405,-1215
Step-by-step explanation:
hence,
the first four terms are 45,-135,405,-1215
if f(x)=×^2-81andg(x)
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
[tex]f(x)\cdot g(x)=(x^2-81)\dfrac{x+9}{x-9}=\dfrac{(x-9)(x+9)(x+9)}{(x-9)}\\\\=\boxed{(x+9)^2}[/tex]
ANSWER QUICK
1.Give the value of x.
7.3 + x = 18.5
Answer:
x = 18.5 - 7.3
x = 11.2
Step-by-step explanation:
ANSWER ASAP DONT SEND A FILE. IS THIS SHAPE A ROTATION, REFLECTION,TRANSLATION, DILATION OR NONE????
Answer:
translation
Step-by-step explanation:
shape is moved to the side but not changed in any other way
Answer:
TRANSLATION
Step-by-step explanation:
10(x+10)127 solve for x
Answer:
10(x+10)(127)
=1270x+12700
The given expression gives [x] as 2.7.
What is a expression? What is a mathematical equation?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have the following equation -
10(x + 10) = 127
Given is -
10(x + 10) = 127
x + 10 = 12.7
x = 12.7 - 10
x = 2.7
Therefore, the given expression gives [x] as 2.7.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
HELP WITH THIS MATH QUESTION PLS ^^ TY!
Answer:
volume of a brick: 10(7)(5) = 350 [tex]in^3[/tex]
14000/350 = 40 bricks
2. Write the sum using summation notation, assuming the suggested pattern continues.
-9 - 4 + 1 + 6 + ... + 66
Answer:
Step-by-step explanation:
a=-9
d=-4-(-9)=-4+9=5
l=66
l=a+(n-1)d
66=-9+(n-1)5
66+9=(n-1)5
n-1=75/5=15
n=15+1=16
Sn=n/2 {-18+(n-1)5}
=n/2{5n-23}
so reqd. sum is ∑[n/2{5n-23}] where n from 1→16
PLS HELP ASAP!!!!!!
THANK UUU
Answer:
a: is 36
Step-by-step explanation:
x + 2y = 3
3x - 2y = 5
What is the solution to the system of equations?
A)
(4, 3.5)
B)
(2,3)
(2, -1)
D)
(3, 2)
Answer:
x=2, y=1/2. (2, 1/2).
Step-by-step explanation:
x+2y=3
3x-2y=5
-------------
4x=8
x=8/4
x=2
2+2y=3
2y=3-2
2y=1
y=1/2
Select the correct answer.
Which equation is equivalent to the given equation?
X^2 - 6X = 8
A. (X - 6)^2 = 44
B. (X - 3)^2 = 14
C. (X - 6)^2 = 20
D. (X - 3)^2 = 17
Answer:
I think it's D
Step-by-step explanation:
The equivalent equation is (x - 3)² = 17
The equation given is :
x² - 6x = 8
The equation is a quadratic equation
A quadratic equation is an equation that has one variable that is raised to the power of 2.
it is usually in the form : ax² + bx + c = 0
a, b,c are known numbers
x is unknown
To determine which option is correct, we are to solve for each of the options to see which is correct
1. (x - 6)² = 44
(x -6)(x -6) = 44
x² - 6x -6x + 36 = 44
x² -12x + 36 = 44
x² - 12 = 8
The first option is not correct
2. (x - 3)² = 14
(x -3)(x -3) = 14
x² - 3x -3x + 9 = 14
x² -6x + 9 = 14
x² - 6x = 5
the second option is not correct
3. (x-6)² = 20
(x -6)(x-6) = 20
x² -6x -6x + 36 = 20
x² -12x = -14
the third option is not correct
4. (x - 3)² = 17
(x-3)(x - 3) = 17
x² - 3x - 3x + 9 = 17
x² - 6x = 8
The fourth option is correct
To learn more about quadratic equations, please check: https://brainly.com/question/2925460?referrer=searchResults
Two students in the same Spanish class, Perry and Dakota, plan to get together after school
to make vocabulary flashcards. Perry started on the project yesterday and has already made
5 flashcards. Dakota hasn't started yet. Since Perry makes 4 flashcards per minute and
Dakota makes 5 flashcards per minute, Dakota will soon have the same number of
flashcards. How many flashcards will each student have at that point?
Write a system of equations, graph them, and type the solution.
Answer:
Dakota=20 perry=25 together= 45
Step-by-step explanation:
First step, remember to keep 5
second step, if they are find keep multiplying until they both meet the same number which is 20, but they both have 20. But Perry will have 25 since he started a day before
mrs. freeman is paying for a $20 meal. she has a 15% off coupon for the meal. after the discount , a 7% sales tax is applied. what does mrs freeman pay for the meal
Answer: $18.19.
You'll have to set this up as two separate problems. First, we want to take 15% off the original $20 bill. To do this, you're going to multiply 20 by .15, which gives you $3. So, 15% off $20 is $17.
Now, we want to find 7% of the new bill, so we're going to multiply 17 by .07 to get $1.19, and add it to the $17, making the final bill $18.19. You could also multiply $17 by 1.07 to get your final total without the extra step in the middle, but only do that once you're comfortable with the math.
Does anyone know how to solve this ?
Answer:
300 I think
Step-by-step explanation:
V=1/3 Bh
B=10*9=90
90*10=900 1/3 of 900= 300
Question 1 of 20 :
Select the best answer for the question.
1. What is 7/4 as a mixed number?
A. 13/
B.314
c. 17/4.
D. 11/4
Mark for review Will be highlighted on the review page)
Next Question >>
Answer: 1 & 3/4
We can write this as [tex]1 \frac{3}{4}[/tex]
============================================
Explanation
Consider this: You have 7 donuts and 4 friends you want to split the donuts with. The question is, how many donuts does each of your friends get?
The number 7 isn't a multiple of 4, meaning 7/4 won't result in a whole number. If you had one more donut, then 8/4 = 2 is a whole number. So that must mean everyone only gets one whole donut plus some leftover amount.
If those 4 friends get 1 whole donut each, then 4*1 = 4 donuts are passed out and 7-4 = 3 are left over. The "1" forms the whole part of the mixed number, while the '3' is the numerator of the fraction. The denominator stays the same at 4.
So we go from the improper fraction 7/4 to the mixed number 1 & 3/4. Each person gets 1 whole donut and then 3/4 of a whole donut
------------
We can write the mixed number 1 & 3/4 as [tex]1 \frac{3}{4}[/tex]. Keep in mind that this expression does not mean 1 times 3/4. Instead, it really is saying 1 + (3/4).
Write the equation of a line perpendicular to the line:
y=43x−1
that goes through the point (-6, -6).
Write your answer in slope- intercept form, using reduced fractions for the slope and intercept.
2) write a linear function that passes through point ( 3, 6) and is perpendicular to Y=2X-1.
Answer:
y=-1/2*+5
Step-by-step explanation:
Find the length of the missing side 42ft 56ft
Answer:
46 feet is the missing side
Determine the area of the sector :
A circle with radius 12 inches formed by a central angle of 165°:
Round your answer to two decimal places.
______ inches squared
Answer:
[tex]\boxed {\boxed {\sf a \approx207.35 \ in^2}}[/tex]
Step-by-step explanation:
Since the central angle is given in degrees, we should use this formula to find the area of the sector:
[tex]a=\frac{\theta}{360} \times \pi r^2[/tex]
The central angle is 165 degrees and the radius is 12 inches.
θ= 165 r= 12 inSubstitute the values into the formula.
[tex]a= \frac{165}{360} \times \pi (12 \ in)^2[/tex]
Solve the exponent.
( 12 in)² = 12 in * 12 in =144 in²[tex]a= \frac{165}{360} \times \pi(144 \ in^2)[/tex]
Multiply all the numbers together.
[tex]a= 207.345115137 \ in^2[/tex]
Round to the nearest hundredth (two decimal places).
207.345115137The 5 in the thousandth place (in bold above) tells us to round the 4 in the hundredth place up to a 5.
[tex]a \approx207.35 \ in^2[/tex]
The area of the sector is approximately 207.35 inches squared.
HELPPP
PLSS
DUE RN
WILL GUVE BRAINLIST
Answer:
8 × pi
Step-by-step explanation:
The equation for circumference is 2 × pi × r.
Since the diameter is 8, we know the radius is 4.
2 × pi × 4 = 8pi
2) Which of the following types of asexual reproduction is used by more complex organisms? * O A: Binary fission O B: Spores O C: Fragmentation D: Budding