The top line tells you this two figure is similar.
What does this mean? Similar figures have the exact same corresponding angles and proportionate sides.
You can find their side ratio with 38 and 15.2.
38 ÷ 15.2 = 2.5
To find x, use 55 ÷ 2.5 and you get 22 as your answer.
An airline claims that there is a 0.10 probability that a coach-class ticket holder who flies frequently will be upgraded to first class on any flight. This outcome is independent from flight to flight. Sam is a frequent flier who always purchases coach-class tickets.
For the following questions, pick the correct value rounded to the nearest hundredth.
What is the probability that Sam will be upgraded exactly 3 times in his next 20 flights?
What is the probability that Sam will be upgraded at most 4 times in his next 20 flights?
What is the probability that Sam’s first upgrade will occur on the third flight?
Answer:
b
Step-by-step explanation:
a) The probability that Sam will be upgraded exactly 3 times in his next 20 flights is 19.01 %
b) The probability that Sam will be upgraded at most 4 times in his next 20 flights is 95.68 %
c) The probability that Sam’s first upgrade will occur on the third flight is 0.0729
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = [ n! / ( n - x )! x! ] pˣqⁿ⁻ˣ
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the probability of getting a coach-class ticket be p
The value of p = 0.10
a)
The probability that Sam will be upgraded exactly 3 times in his next 20 flights
The number of trials = 20
The probability of success p = 0.10
The probability of failure q = 1 - p
The probability of failure q = 0.90
x = 3
Substituting the values in the equation , we get
P ( 3 ) = [ 20! / ( 17 )! 3! ] ( 0.10 )³ ( 0.90 )¹⁷
P ( 3 ) = 0.1901
P ( 3 ) = 19.01 %
b)
The probability that Sam will be upgraded at most 4 times in his next 20 flights
The number of trials = 20
The probability of success p = 0.10
The probability of failure q = 1 - p
The probability of failure q = 0.90
x ≤ 4
Substituting the values in the equation , we get
P ( x ≤ 4 ) = [ 20! / ( 16 )! 4! ] ( 0.10 )⁴ ( 0.90 )¹⁶
P ( x ≤ 4 ) = 0.9568
P ( x ≤ 4 ) = 95.68 %
c)
The probability that Sam’s first upgrade will occur on the third flight
A = ( 0.9 ) ( 0.9 ) ( 0.9 ) ( 0.1 )
A = 0.0729
A = 7.29 %
Hence , the solution is calculated by binomial distribution
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✨ Easy points if you know how to do slope well (Plus I will give brainliest:) ) ✨
Answer:
the answer is b i hope im right
Step-by-step explanation:
Answer:
I think b sorry if its wrong :(
Step-by-step explanation:
calculate the value of (-8) * (-2/3)
Answer: Exact Form: 16/3
Decimal Form: 5.3333...
Mixed Number form: 51/3
Step-by-step explanation: Hope I helped
Answer:
5 1/3
Step-by-step explanation:
7+x<35 please help
I need asap
Answer:
1
Step-by-step explanation:
help please
solve for x
Answer: x= 47 (If that says 3x+2)(the picture is a little blurry)
Step-by-step explanation:
Linear pairs of angles sum to 180.
37+(3x+2) =180
Combine like terms
39+ 3x = 180
Subtract 39 from both sides
3x = 141
Divide both sides by 3
x= 47
25 PTS HELPPPPPPPPPPPPPPPPPPpppp
Given the Explicit Sequence f(n) = 2×3n−1, what is f(5)?
Answer:
29
Step-by-step explanation:
2x3(5)-1
(2x15)-1
30-1
29
Answer:
29
I hope this help happy friday
Divya wants to make fruit smoothies for dessert. She purchases a container of rice milk for $3.49, two pounds of strawberries at $4.99 per pound, and six bananas at $0.75 each. How much did Divya spend on dessert? Show your work.
PLEASE HURRY
12. Jason wants to walk the shortest distance to get
from the parking lot to the beach.
Refreshment
Stand
40 m
Beach
30 m
Parking
Lot
a.
How far is the spot on the beach from the
parking lot?
How far will his place on the beach be from
the refreshment stand?
b.
Answer:
I don't know
Step-by-step explanation:
but I am I sure that I can you please give it a shot if the harbor though I will Unite it to the wind strength and I will Unite it to the next level up and I will
Answer:
A. 25m B. 32m
Step-by-step explanation:
The hypotenuse of a triangle must be longer than the other sides.
there are 54 tickets to be shared and divided to section Z and section Y in the ratio 4:5. How many tickets will section Y received?
A.20
B.24
C.30
D.34
Answer:
C.30
Step-by-step explanation:
total ratio=9
y=[tex]\frac{5}{9}[/tex]×54=30
please help me quickly.
Solve. t6^2−8t=−15 Enter your answers in the boxes. t = or
Please help me I will give brainliest
Answer:
x<-3
Step-by-step explanation:
First we multiply by 4. We will get: -16x-12>36
Then we add 12 to both sides. We'll get -16x>48
Then we divide by -16. 48 divided by -16 is -3.
x<-3.
Answer:
x<-3
Step-by-step explanation:
Hope this helps :)
4(-4x-3)>36
Divide
-4x-3>36/4
Simplify
-4x-3>9
add 3 to each side
-4x>9+3
Simplify
-4x>12
Divide
x<-12/4
Simplify
x<-3
if f(x) = 2x + 1 and g(x) = x2 find g (f(3))
Answer:
g(f(3)) = 49
Step-by-step explanation:
Evaluate f(3), then substitute the value obtained into g(x) , that is
f(3) = 2(3) + 1 = 6 + 1 = 7, then
g(7) = 7² = 49
Wendell didn't make it in Nashville. Now he only
has $12 in nickels and dimes left to his name-
barely enough to pay for a bus ticket back
home. If Wendell has 3 times as many nickels
as dimes, how many dimes does he have?
Help meee lol
Answer:
Wendell only has $12 in nickels and dimes
Let Wendell have x dimes
If Wendell has 3 times as many nickels as dimes, how many dimes does he have?
Number of nickels = 3x
dime 10 c
nickel 5c
10x+5*3x = 1200 ( $12=1200 c)
25x = 1200
x= 48 number of dimes
Please help on number 3 I’ll try to give u points
Answer:
Step-by-step explanation:
(0,3)
Round 576.558 to the nearest tenths place
Answer:
576.6
(look at the number by the 10th place and round)
The value of 576.558 after rounding to the nearest tenth-place value is
576.6.
Option A is the correct answer.
What is place value?The place value of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 = thousandths place value
We have,
576.558
The number in the tenth place is 5 bolded underscore.
576.558
Now,
The next value is 5 which is greater or equal to 5 so we will change the tenth place value 5 into 6.
If the next value was 4 or less we will keep the tenth place value 5 as 5.
Now,
The value of 576.558 after rounding to the nearest tenth-place value is
576.6.
Thus,
The value of 576.558 after rounding to the nearest tenth-place value is
576.6.
Option A is the correct answer.
Learn more about place value here:
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which graph has a function of 4/5
Answer:
B.
Step-by-step explanation:
It is the only one that has a slope of 4/5.
Hope it helps!
10 - 2.5x > 35
I need help
Answer:
x<-10
Step-by-step explanation:
10-2.5x>35
2.5x>10-35
2.5x>-25
x>-25/2.5
x>-10
x<-10
Answer:
x < -10
Step-by-step explanation:
-2.5x > 35-10
-2.5x > 25
-2.5x > 25/-2.5
x > -10
You have to switch the sign because you divided it by negative
x<-10
How high is a stack of b books?
Answer:
1.4
Step-by-step explanation:
Combine the like terms to create an equivalent expression:
-4p+(-6p)
Answer:
-10p
Step-by-step explanation:
-4 - 6 = -10
-10
Step-by-step explanation:
combine like terms to create an equivalent
Solve: x2=925 A x=35 B x=−35 C x=325 and x=−325 D x=35 and x=−35
THE ANSWER IS D
Answer:
D? i prob got it wrong
Step-by-step explanation:
Answer:
well thx for the answer
Step-by-step explanation:
In a week tracy earns 12.45$ less than twice the amount kayla earns tracy earns 102.45$ how much does kayla earn
Harris High School has 500 students. 16% of the students are taking biology. How many students are taking biology?
Answer:
80
Step-by-step explanation:
80 is the answer since 16% of 500 is 80
Answer:
80 students
Step-by-step explanation:
Multiply: 500 times 16%(.16)
500 times .16=80
Hope this helped!! :)
Brainliest?!?!
Stay safe and have a wonderful day/night/afternoon!!!!!
LOL so yea this doesn’t really make sense to me so whoever can help I’ll give you brainliest or whatever
Answer:
it's a linear problem
Step-by-step explanation:
0=1
1=2
2=3
3=4
4=5
5=6
6=7
7=8
8=9
9=10
PLEASE HELP!!!!! I ONLY HAVE AN HOUR!!!
Solve.
–6 ≥ 10 – 8x
x ≤ –2
x ≤ 2
x ≥ –2
x ≥ 2
Please help with math ASAP, will give brainliest!!
Answer:
Step-by-step explanation:
center (-1, -2) , trough point ( 6, 4)
equation of the circle
r² = (x-h)²+(y-k)², where (h, k) are the coordinate of a circle so h=-1, k=-2
r² =(x+1)²+(y+2)², but (x, y ) are coordinates for any point on the circle so x=6 and y= 4
r² =(6+1)²+(4+2)²
r²= 7² +6²
r²= 85
so the equation is
(x+1)²+(y+2)²= 85
to find the points on the circle substitute in the equation x and y
(-10+1)²+(0+2)²= 85 ; 85=85 true
so the pint on the circle is (-10, 0)
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answer:
90%
Step-by-step explanation:
Are these two lines perpendicular?
Line 1: y-1=3(x+7)
Line 2: y-19=-1/2(x+1)
Answer:
Step-by-step explanation:
This is the image of the graph you determine if that's perpendicular.
Perpendicular definition - In elementary geometry, the property of being perpendicular is the relationship between two lines which meet at a right angle. The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.
Can someone please help me. I’ll mark you brainiest.
Answer:
$47,682.78
Step-by-step explanation:
future value: F = $64,700
present value: P = x
annual interest rate: r = 2.18%
compounding periods per year: n = 365
[tex] F = P(1 + \dfrac{r}{n})^{nt} [/tex]
[tex] 64,700 = P(1 + \dfrac{0.0218}{365})^{365 \times 14} [/tex]
[tex] 64,700 = P(1 + 0.0000597260274)^{5110} [/tex]
[tex] 64,700 = P(1.0000597260274)^{5110} [/tex]
[tex] 64,700 = P(1.356883989) [/tex]
[tex] P = 47,682.78 [/tex]
Answer: $47,682.78
Solve each equation
2x = 10
-3x = 21
1/3x = 6
-1/2}x = -7