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)
3[ 9 - ( 6 - 3 ) ] - 10
Answer:
The answer is 8
Step-by-step explanation:
Pay attention bro
In Heavenly Hash ice cream, the ratio of the amount of cashews to the amount of marshmallows to the amount of chocolate ice cream is 1 : 3 : 36 by volume .
What is the ratio of the amount of marshmallows to ice cream?
Answer:
90%
Step-by-step explanation:
The ice cream is 1 part cashew, 3 parts marshmallow, and 36 parts chocolate ice cream. That's a total of 40 parts. So the fraction that is chocolate ice cream is:
36/40 = 0.9
So 90% of Heavenly Hash ice cream is chocolate ice cream.
The first equation in the system of equations that models this situation is x+y=70, where x represents the number of 2-point questions the number of 4-point questions. What is the other equation in the system? Enter the correct answer in the box. Substitute numerical values in the expression for A, B, and C.
Answer:
2x+4y=150
Step-by-step explanation:
Top answer is right as it is shown in the picture below!
Find the length of the hypotenuse of the right triangle.
40
048
041
None of the other answers are correct
40
26
Answer:
Ans. 41
Step-by-step explanation:
By using the formula of pythagoras theorem,
h^2 = p^2+b^2
or, h = sqrt(9^2+40^2)
or, h = sqrt(81+1600)
or, h = sqrt(1681)
or, h = sqrt(41^2)
or, h = 41 #
Blake sold 17 verses for $3.25 each he spent $16.21 on materials to make the vases what is the profit
Answer:
We can calculate what did he get, as we know he sold 17 vasess for 3.25 dollars each of them, we can multiply:
17 * 3.25 = $55.25
Now, we know he got 55.25 dollars but he spent 16.21, so we substract:
55.25 - 16.21 = $39.04
His profit selling that is of 39.04 dollars..
need help thank you very
Answer: 40, -16,-9
Step-by-step explanation:
A. -10+30-20+40
-30+70
70-30
40
b -51+35-0
35-51
-16
c. -6+2-8+3
-14+5
5-14
-9
HELP PLZ I NEED THE RIGHT ANSWER
Answer:
54
Step-by-step explanation:
As ◇PQS is congruent to ◇ PRS,
6n + 3=4n+11
n=4
QR=6×4+3+4×4+11
PLEASE HELP!!!
Segments DE, EF, and DF are midsegments of AABC. Find the length of the indicated
segment.
Answer:
6
Step-by-step explanation:
You know DF = 6 and EB = 6 too. Since E is the mid-point of AEB, EB and AB are equal.
DF = EB
= AB
= 6
Analyze the diagram below and complete the instructions that follow.
7
y
450
X
Find the value of x and the value of y.
A. x = 16, y = 9V2
B. x = 7, y = 16 V2
C. x= 16V/, y = 7.12
D. x= 7/3, y = 16
Answer:
[tex]A.\ ~~x=16,~ y=9\sqrt{2}[/tex]
Step-by-step explanation:
We have completed the diagram with some lengths that come directly from the figure's symmetry.
Note the triangle formed at the left side of the trapezium is isosceles because it has an angle of 90° and another angle of 45°.
This means the base of the triangle has the same length as the height of 9.
This means the total base of the trapezium is x = 9 + 7 = 16
The right triangle must satisfy Pythagora's Theorem:
[tex]y^2=9^2+9^2[/tex]
[tex]y^2=2*9^2[/tex]
[tex]y=\sqrt{2*9^2}[/tex]
Simplifying the radical:
[tex]y=9\sqrt{2}[/tex]
The correct answer is: [tex]\mathbf{A.\ ~~x=16,~ y=9\sqrt{2}}[/tex]
Can someone help me please
Answer:
A
Step-by-step explanation:
When 5 goldfish were added, the cost increased by $1.50, so we can divide 150/5 to find the increase of cost from one goldfish which is 30 cents.
Using the equation below, determine the following:
y=-32-17
SLOPE:
Y-INTERCEPT:
Answer:
slope: 0
y-intercept:(0,49)
Step-by-step explanation:
Hope this helps!
Answer:
SLOPE: 0
Y -INTERCEPT: 49
Step-by-step explanation:
y = -32 - 17 (collect like terms)
y = 49
The slope would be zero because it doesn't have an x-intercept.
The line would look like this..
49 -------------------------------------------- completely flat like the floor so zero slope.
HOPE THIS HELPS!1
(THIS IS A TEST I NEED HELP)
In the rectangular prism, PQ is the diagonal. Find the length of
PQ given PR = 7, RS = 4, and QS = 4.
A 4
B 9
C 12
D 15
Answer:
Option (B)
Step-by-step explanation:
Length of PR = 4
RS = 4
QS = 4
For the length of PT,
PT² = RT² + PR² [Since, PT is the diagonal of rectangle PRT]
PT² = QS² + PR² [Since, RT ≅ QS]
PT² = 4² + 7²
PT² = 16 + 49
PT² = 65
Now for the length of PQ,
PQ² = QT² + PT²
PQ² = RS² + PT² [Since, QT ≅ RS]
PQ² = 4² + 65
PQ² = 16 + 65
PQ = √81
PQ = 9
Therefore, length of diagonal PQ is 9 units.
Option (B) will be the answer.
PLEASE HELP!!
What is the slope for runner 1 and runner 2 ?
true or false:
Question attached:
Answer:
true
Step-by-step explanation:
ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)
Answer:
11.265 minutes.
Step-by-step explanation:
A minute is about a a kilometer so 7 miles is about 11.265 minutes.
You make $443 per week, and have claimed five exemptions. How much money will be withheld from you in a year?
Answer:
Choice A. $2,392 is the correct answer
please help!
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)
the ratio of boys to girls is in a class 4:3. There are 35 students in the class. How many students are boys ?
What is the formula?
Answer:
ratio 4x:3x
total= 7x parts = 35(given)
x= 35/7 =5
boys = 4x = 20
girls = 3x = 15
The number of boys are more by 20-15 = 5.
Step-by-step explanation:
Answer:
20 boys 20:15
Step-by-step explanation:
helpful??
Arnold has $24 to spend at the movies. His ticket is $12. He bought popcorn, candy bar, and soda. Popcorn is double the prize of the soda. The soda and candy bar are same prize. How much did he pay for the soda?
Given:
Arnold has $24 to spend at the movies.
Ticket = $12
Popcorn is double the price of the soda.
The soda and candy bar are same price.
To find:
The price for the soda.
Solution:
Let x be the price of soda.
According to the question,
Price of candy = Price of soda = x
Price of popcorn = 2(price of soda) = 2x
Total amount = Ticket + Popcorn + Soda + Candy
[tex]24=12+2x+x+x[/tex]
[tex]24=12+4x[/tex]
[tex]24-12=4x[/tex]
[tex]12=4x[/tex]
Divide both sides by 4.
[tex]\dfrac{12}{4}=x[/tex]
[tex]3=x[/tex]
Therefore, the price of soda is $3.
Find the product (у- 2)(5у2 + 3y - 1)
Answer:
5y^3 - 7y^2 - 97y + 2 <<<< Answer
Step-by-step explanation:
(у- 2)(5у2 + 3y - 1)
Multiply the three terms by y
5y^2 * y + 3y * y - 1*y = 5y^3 + 3y^2 - y
Multiply the three terms by - 2
-2*5y^2 -2*3y - 2*-1
-10y^2 - 6y + 2
Now combine the like terms
5y^3 + 3y^2 - 10y^2 - y - 6y + 2
5y^3 - 7y^2 - 97y + 2
The complex numbers z1 and z2 are graphed. Which point represents z1 – z2?
Answer:
A EDGE 2020
Step-by-step explanation:
I got it wrong twice and it gave me the answer :)
The point represents z₁ - z₂ will be A. Then the correct option is A.
What is a complex number?The complex number is the combination of the real part and the imaginary part. Then the complex number is given as
⇒ a+bi
The complex numbers z₁ and z₂ are graphed.
The expression of z₁ and z₂ are given below.
z₁ = 4 – i
z₂ = –3 – 2i
Then the difference between z₁ and z₂ will be
z₁ - z₂ = (4 – i) – (–3 – 2i)
z₁ - z₂ = 4 – i + 3 + 2i)
z₁ - z₂ = 7 + i
Then the correct option is A.
More about the complex number link is given below.
https://brainly.com/question/10251853
#SPJ2
NEED HELP ASAP!! THIS IS DUE UNDER 10 MIN! GIVING BRAINLEST (My Brainlest is giving 100 extra points)
Bud is disappointed when he goes to the mission because...
A The line is closed when he gets there.
B They don't serve children.
C He went to the wrong one.
D He didn't like what they were serving.
Answer:A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Patrick starts hiking at an elevation of -418 feet. He ascends to an elevation of 387 feet and then descends to an elevation 94 feet higher than where he began. He descends 132 feet. What is the elevation of where he stops hiking?. Single line text.
sinπ÷14×sinπ÷14×sinπ÷14
Answer:
Step-by-step explanation:
??? do you need help or is this free points?
diagram of ABCD to find m
Answer:
since the pairs of opposite lines in the diagram are parallel the measurement of B is also 63
to fine A and C simply subtract 180 - 63 which gives us 117 so
A = 117
B = 63
C = 117
D = 63
there are 36 carpenters in a crew. On a certain, 29 were present. What percent showed up for work? (round to the nearest tenth)
Answer:
30
Step-by-step explanation:
GIVING BRAINLIEST PLZZ HELP ASAP
Answer:
D
Step-by-step explanation:
x and y go up at a constant rate (or you can say it has a CROC or constant rate of chacge) y going up 5 for every one x
with our equation being y = 5x + 5
hope this helps <3
Answer:
Step-by-step explanation:
It would be D because to know if its linear, x has to increase by 1 and y by a constant rate.
X increases by 1 and y increases by 5
I've attached a graph for you to see
If you have any further questions, don't be afraid to reach out! I hope this helps!
PLEASE HELP ASAP Which of the following expressions is equivalent to the expression 42 + 90?
Answer:
6(7+15)
Step-by-step explanation:
6×7=42
6×15=90
Pls answer I need help!
Dividing fractions is the same as multiplying the reciprocal.
As an easy way to remember this, you can use the Keep it, Switch it, Flip it method.
Keep: [tex]\frac{4}{9}[/tex]
Switch: the division sign to multiplication.
Flip Flip the numbers of [tex]\frac{2}{1}[/tex], or find it's reciprocal. [tex]\frac{1}{2}[/tex] turns into [tex]\frac{2}{1}[/tex].
Now, your problem looks like this:
[tex]\frac{4}{9}[/tex] * [tex]\frac{2}{1}[/tex] (which should be the answer to your first blank)
Multiply across.
4 x 2 = 8 and 9 x 1 = 9, so: [tex]\frac{8}{9}[/tex] should be the second blank.
Is 3x - y = -6 an euation for a graph
Answer:
no this can't become a number that can be graphed