Answer:
Binomial distribution = 0.1026
Normal approximation = 0.1066
Step-by-step explanation:
Given that :
p = 100% - 7% = 0.93
n = 300
1 - p = 0.07
Probability of atleast 285 rooms getting booked :
P(x = x) = nCx * p^x * (1-p)^(n-x)
To obtain P(x ≥ 285) ; we use a binomial probability calculator to save time :
P(x ≥ 285) = 0.1026
Using Normal approximation :
Mean (m) = np = 300 * 0.93 = 279
Standard deviation (s) = sqrt(np(1-p) = sqrt(285*0.07) = 4.419 = 4.42
Using :
Z = (x - m) / s
P(x ≥ 285) ; for normal approximation :P(x ≥ x) x = 285 - 0. 5 = 284.5
Z = (284.5 - 279) / 4.42
= 1.2443
P(Z ≥ 1.2443) = 0.1066 (Z probability calculator)
Does the following equation have one solution, infinite solutions, or no solutions? 6x -4 = 5x +8
[tex]6x-4=5x+8[/tex]
Solve the equation. For the easier way, move the x-term to the same term and constant to the same side.
[tex]6x-5x=8+4\\x=12[/tex]
Because we can solve the value of x. Therefore, the following equation has one solution.
Here's the thing that you should know for the solutions of equations.
When the equation is true (When both sides are the same Ex. 1 = 1, the solution will be infinite.)
When the equation is false (When both sides have different value. Ex. 0 = 3 then there won't be any solutions.)
When the equation can be solved normally for the variable, the solution will be one.
What percent of 12 is 24
Answer:
200%.
100% of 12 is 12 since for example if a coat is 10$ and 100% off then its now 0$. Therefore 200% is twice of 12 making it 24.
24=200% of 12
Step-by-step explanation:
Perry and Alberto are selling fruit for a school fundraiser. Customers can buy small boxes of
tangerines and large boxes of tangerines. Perry sold 7 small boxes of tangerines and 12 large
boxes of tangerines for a total of $283. Alberto sold 8 small boxes of tangerines and 6 large
boxes of tangerines for a total of $200. Find the cost each of one small box of tangerines and one
large box of tangerines.
Answer: Small box: $13; Large box: $16
Explanation:
Make two individual equations for Perry and Alberto. Perry's equation would be 7x+12y=283. Alberto's equation would be 8x+6y=200. The best way to find the variables is to change the equations into slope-intercept form. Perry's equation would change to y=-7/12x+283/12 and Albert's equation would change to y=-4/3x+100/3. You can try substituting and plugging -4/3x+100/3 into the other equation, so they equal each other. But, you can also just graph the equation into a graphing calculator or Desmos. When graphing it, the point of intersection should be (13,16), so the cost of a small box tangerines is $13 and a large box of tangerines is $16.
The measure of angle DCF is ... degrees?
Answer: Yes, The measure of DCF is degrees.
15 point hurry
In the following function defined by an equation in the form y = a x squared + b x + c, identify the values of a, b, and c.
y = two-thirds x squared + 3
a.
a = 0, b = two-thirds, c = 3
b.
a = two-thirds, b = 0, c = 3
c.
a = 0, b = 3, c = two-thirds
d.
a = two-thirds, b = two-thirds, c = 3
Given:
[tex]y=\dfrac{2}{3}x^2+3[/tex]
This equation is in the form [tex]y=ax^2+bx+c[/tex].
To find:
The values of a, b and c.
Solution:
We have,
[tex]y=\dfrac{2}{3}x^2+3[/tex]
It can be written as
[tex]y=\dfrac{2}{3}x^2+(0)b+3[/tex]
On comparing this equation with [tex]y=ax^2+bx+c[/tex], we get
[tex]a=\dfrac{2}{3},b=0,c=3[/tex]
Therefore, the correct option is b.
On Saturday morning, Owen earned $24 raking leaves. By the end of the afternoon he had earned a total of $62. Write an equation to determine whether Owen earned $38 or $31 on Saturday afternoon.
Answer:
62-24=38
or 24 + x = 62
Step-by-step explanation:
The equation to determine whether Owen earned $38 or $31 on Saturday afternoon ⇒ $24 + $ x = 62.
What is Meant by Solution of a Linear Equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations. In other words, the solution set of the system of linear equations is the set of all possible values to the variables that satisfies the given linear equation.
According to the questions,
On Saturday morning, Owen earned $24 raking leaves.
By the end of the afternoon he had earned a total of $62.
The equation to determine whether Owen earned $38 or $31 on Saturday afternoon.
⇒ $62 - $24 = $38
⇒ $24 + $ x = 62
Hence the required equation is $24 + $ x = 62.
To learn more on linear equation click :
https://brainly.com/question/11897796
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Solve-1 + 8 =
10 - 3a.
Answer:
a = 1
Step-by-step explanation:
Original Equation:
-1 + 8 = 10 - 3a
Add 1 to both sides
8 = 11 - 3a
Subtract 11 from both sides
-3 = -3a
Divide both sides by -3
a = 1
Hope this helps :)
Please consider Brainliest :)
Answer:
a = 1
Step-by-step explanation:
-1 + 8 = 10 - 3a
7 = 10 - 3a
-10 -10
-3 = -3a
---- -----
-3 -3
1 = a
How many times larger is 4.5 x 105 than 1.8 x 10%?
A. 2.5
B. 270
C. 250
D. 50
Answer:
c
Step-by-step explanation:
what is C in the triangle
C=
Answer:
C = 13
Step-by-step explanation:
[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]
[tex]5^{2}[/tex] + [tex]12^{2}[/tex] = 169
[tex]\sqrt{169}[/tex] = 13
Answer:
C = 13
Step-by-step explanation:
Use the following formula to answer this question.
C = square root a^2+b^2
Rewrite the formula using the information you already know.
C = square root 5^2 + 12^2
C = 13
I hope this helped to answer your question.
This set of points is on the graph of a function.
{(-2,-8),(0,9),(2,8),(3,27)}
Which graph are on the graph of the inverse?
Select EACH correct answer!!!
A) (-8,-2)
B) (-8,2)
C) (-27,-3)
D) (9,0)
Answer:
A and D
Step-by-step explanation:
i hope i did this righti tried my best
what is the answer to this promblem
9514 1404 393
Answer:
to eliminate x: multiply the first by 3, and the second by -4to eliminate y: multiply the first by 2, and the second by 5Step-by-step explanation:
Pick the variable you want to eliminate. Determine the coefficients of that variable in the two equations. Negate one of them. Multiply each equation by the coefficient that came from the other equation.
__
To eliminate x
The x-coefficients are 4 and 3. If we negate 4, then the resulting y-coefficient will be positive. We choose to multiply the first equation by 3, the second by -4.
Here is the result of adding those:
3(4x +5y) -4(3x -2y) = 3(7) -4(-12) ⇒ 23y = 69
To eliminate y
The y-coefficients are 5 and -2. If we negate -2, then the resulting x-coefficient will be positive. We choose to multiply the first equation by 2 and the second by 5.
Here is the result of adding those:
2(4x +5y) +5(3x -2y) = 2(7) +5(-12) ⇒ 23x = -46
Answer:
Step-by-step explanation:
to kill x: duplicate the primary by 3, and the moment by -4 to eliminate y: increase the primary by 2, and the moment by 5 Step-by-step explanation: Pick the variable you need to eliminate. Decide the coefficients of that variable within the two conditions. Refute one of them. Increase each condition by the coefficient that came from the other equation. __ To dispense with x The x-coefficients are 4 and 3. On the off chance that we invalidate 4, then the coming about y-coefficient will be positive. We select to increase the primary condition by 3, the moment by -4. Here is the result of including those: 3(4x +5y) -4(3x -2y) = 3(7) -4(-12) ⇒ 23y = 69 To dispose of y The y-coefficients are 5 and -2. If we nullify -2, at that point the coming about x-coefficient will be positive. We select to duplicate the primary condition by 2 and the moment by 5. Here is the result of including those: 2(4x +5y) +5(3x -2y) = 2(7) +5(-12) ⇒ 23x = -46
hope this helps
PPLLLLLLLLEEEEEEEAAASSSEEE HELP ME
Answer
2x=60
x=30
Step by step solution
Answer:
30
Step-by-step explanation:
180/3=60
60/2=30
waht 6/9 dividede 4/7 plzzzzzzzzzzzzzz help
Answer:
6/9 ÷ 4/7 = 1 1/6
Step-by-step explanation:
flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other
17 < 2x + 7 <29*
Your Inswer
Answer:
5<x<11
Step-by-step explanation:
Answer:x=3
Step-by-step explanation:
5(x – 3) > 7x + 2
what is the value of x?
Answer:
If I am not mistaken the answer is x<-27/2.
I don’t understand, explanations?
Answer:
ways and answer in paper
Which situation below correctly represents the algebraic expression 10 + 4x?
A. Stephanie has ten dolls and Kristi has four times as many dolls as Stephanie.
B. To see a football game, you will pay ten dollars admission for adults and four dollars admission for children.
C. The theater charges ten dollars for admission and four dollars for each drink.
D. Jim woke up at ten o’clock and then ran long distance for four hours.
Answer:
Your Answer is C
Step-by-step explanation:
The theater charges ten dollars for admission and four dollars for each drink
5h + 10 = 4h + h + 15
Answer:
h = no solution
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
5h + 10 = 5h + 15
Step 2: Solve for h
Subtract 5h on both sides: 10 ≠ 15Here we see that 10 does not equal 15.
∴ h has no solution.
Final Answer: No Solution
Steps/Reasons:
Step 1: Simplify [tex]4h + h + 15[/tex] to [tex]5h + 15[/tex].
[tex]5h + 10 = 5h + 15[/tex]
Step 2: Cancel [tex]5h[/tex] from both sides.
[tex]10 = 15[/tex]
Step 3: Because [tex]10 = 15[/tex] is false, there is no solution.
No Solution
~I hope I helped :)~
At a sale, coats were sold for $76 each. If the coats originally cost $80 each, what percentage of its original price was a coat sold for?
What is the area of the room represented in the scale drawing?
Answer:
You have to do length times width
Step-by-step explanation:
Area= leingth time width ( 3D shapes = leinght times width times height)
Please help me I will MARK BRAINLIEST PLEASE DON'T IGNORE
Answer:
.......................................
Step-by-step explanation:
5, 12, and 13 is it a right triangle
Answer:
yeah
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Billy Bob is filling his bathtub with water. At one minute, there are 5
gallons, at two minutes there are 8 gallons, and at 3 minutes there are
11 gallons of water in the tub.
If this pattern continues, how many gallons of water will be in the tub
at 7 minutes?
Answer:
There will be 23 gallons
Answer:
23 gallons
Step-by-step explanation:
the bathtub is filling by 3 more gallons every minute, 7-4=3, 4*3=12, 11+12=23
Grapes cost $1.87 per pound. How much would it cost for 4.25 pounds of grapes?
Answer:
7.95$
Step-by-step explanation:
1.87 $ per 1 lb
1.87 * 4.25 = 7.95$
Answer:
$7.95 for 4.25 lbs. of grapes
Step-by-step explanation:
so your going to multiply $1.87 by 4.25 to get the total amount of money needing to be paid in or der to buy the 4.25 lbs. of grapes:
$1.87 * 4.25 = 7.9475
now turning it into money by rounding to the hundredths place:
7.9475 = $7.95
So you would have to pay $7.95 for 4.25 lbs. of grapes but logically you would bring 8 dollars to buy it, but down to the cents it would be $7.95.
Which function best represents this graph?
Answer:
Y=3x-2
Step-by-step explanation
Answer:
the frist one have a good dayStep-by-step explanation:
I know it bless good byePls help which one is it
Answer:
A
Step-by-step explanation:
HELP PLZ!!!!! A fireman's ladder is placed against a wall. The bottom of the ladder is 15 ft away from the wall and the top of the ladder touches the wall at a point 80 ft above the ground. Assuming that the slope is positive, what is the slope of the ladder? Round your answer to the nearest hundredth.
Answer:
5.3
Step-by-step explanation:
We know that the bottom of the ladder is 15 feet from the wall, and it touches the wall 80 feet above the ground. Imagine it like two points on a graph. One is at the origin (0,0). That represents the bottom of the ladder. The next one is at (80,15), which represents where the top is. To find slope, we divide rise (y-values) over the run (x-values). The y value increases by 80, while the x increases by 15. 80 divided by 15 equals about 5.3
What are some real world examples of like terms?
Answer:
One twin and One twin have like terms, they're both twins.
The graph shows the distance Henry drives on a trip. What is Henry's speed? Driving Time and Distance 330 300 270 Distance (miles) 240 210 180 150 120 90 60 30 0 1 2 3 4 5 Time (hours) O A. 70 miles per hour OB. 30 miles per hour O C. 60 miles per hour D. 40 miles per hour
Answer:
C
Step-by-step explanation:
What Is the Cost of Living? The cost of living is the amount of money needed to cover basic expenses such as housing, food, taxes, and healthcare in a certain place and time period. The cost of living is often used to compare how expensive it is to live in one city versus another. The cost of living is tied to wages.
Answer
wrong topic, this is about economics