Answer:
5/21
Step-by-step explanation:
Take -3/7 and -2/3 subtract them. (-3/7) - (-2/3) find a common denominator and alter fractions based on it. -9/21 + (14/21)
Suppose that an airline overbooks seats on their flights. In particular, it sells 300 tickets for a flight when there are only 270 seats available. On average, we expect 15% of those with tickets to not show up. What is the probability that we will have enough seats for everyone who shows up
Using the normal approximation to the binomial, it is found that there is a 0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem:
15% do not show up, so 100 - 15 = 85% show up, which means that [tex]p = 0.85[/tex].300 tickets are sold, hence [tex]n = 300[/tex].The mean and the standard deviation are given by:
[tex]\mu = np = 300(0.85) = 255[/tex]
[tex]\sigma = \sqrt{np(1-p)} = \sqrt{300(0.85)(0.15)} = 6.185[/tex]
The probability that we will have enough seats for everyone who shows up is the probability of at most 270 people showing up, which, using continuity correction, is [tex]P(X \leq 270 + 0.5) = P(X \leq 270.5)[/tex], which is the p-value of Z when X = 270.5.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{270.5 - 255}{6.185}[/tex]
[tex]Z = 2.51[/tex]
[tex]Z = 2.51[/tex] has a p-value of 0.994.
0.994 = 99.4% probability that we will have enough seats for everyone who shows up.
A similar problem is given at https://brainly.com/question/24261244
A wire 18 cm long is cut into two pieces. The longer piece is 6 cm longer than the shorter piece.
Find the length of the shorter piece of wire
Please help! I'll give anyone who helps 10 points.
Answer:
the bottom one b and c
Step-by-step explanation:
it goes at a steady rate of 2b=c
Sarah weighs 146 pounds . How many ounces does Sarah weight
Answer:
2336 Ounces
Step-by-step explanation:
1 Pound has 16 Ounces so Multiply 146*16 to get the number of ounces.
146*16=2336 Ounces
Which of the following are not polynomials?
Answer:
A, B, D
Step-by-step explanation:
A polynomial is a 1 term or a sum of terms.
Each term is a number multiplied by 0 or more variables.
A term can never have a variable in the denominator or in any root. A term cannot have the logarithm of a variable or any trig function of a variable.
Answer: A, B, D
solve log2 base x + log4 base x + log8 base x = 12 ?
Answer:
Step-by-step explanation:
Choose the system for this graph
9514 1404 393
Answer:
C
Step-by-step explanation:
Judging by the answers, the lines have slopes of 7/3 and 2/5. (We could verify this by close examination of the graph.) The shading is above (greater than) the line with the smaller slope value (2/5), and below (less than) the line with the steeper slope value (7/3).
That means we're looking for a pair of inequalities with the symbols ...
y ≥ 2/5x ...
y ≤ 7/3x ...
This combination is found in choice C.
which reason could be used for statement 3??
Option 3, definition of congruent segments is the answer I'm pretty sure
The perimeter of a rectangular window is 264 cm.
If the width of the window is 56 cm, what is its length?
Answer:
length = 76 cm
Step-by-step explanation:
The perimeter = (2 × width) + (2 × length)
264 = (2×56) + (2 × length)
264 = 112 + (2 × length)
264 - 112 = 2 × length
152 = 2 × length
152/2 = length
76 = length
length = 76 cm
The average person’s speed when riding a bike along a street is 18 kilometers per hour. What conversion factor can be used to convert this speed to meters per hour?
StartFraction 1 kilometer Over 1,000 meters EndFraction
StartFraction 1 meter Over 1,000 kilometers EndFraction
StartFraction 1,000 meters Over 1 kilometer EndFraction
StartFraction 1,000 kilometers Over 1 meter EndFraction
Answer:
The given average speed = 18 km per hour
Now, as we know from the conversion parameters:
1000 meters = 1 km
or 1 meter = ( 1/ 1000) kilometer
So, we can use the above information to convert average speed into meters per hour.
The given speed = 18 km / hr = 18 x (1000) meters /hr
= 18,000 meters / hr
Step-by-step explanation:
You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 23 by 28 ft brick patio installed
Answer:
$4884 to the nearest $.
Step-by-step explanation:
By proportion it is 2275 * (23*28) / (15*20)
= $4884
What is the measure of <1
Answer:
43
Step-by-step explanation:
274 would be absurd and 83 would be close to a right angle which that angle is no where near. It looks like half a right angle meaning 45 and 43 is the closest to that so I think its 43
Select yes or no for each literal equation.
Answer:
No, Yes, Yes
Step-by-step explanation:
[tex]5x + 2y = 3[/tex]
2y = 3 - 5x
y = (3-5x) / 2
FALSE
[tex] \frac{w + 8}{2} = p[/tex]
2P = w + 8
w = 2P - 8
TRUE
[tex]ax + by = c[/tex]
by = c - ax
y = (c - ax) / b
TRUE
A woman invested $15,000 part in 7% stocks and the remainder in 9% bonds. If her yearly yield from both investments is $1,230.00, how much did she invest at each rate?
Using the simple interest relation, the amount invested in stocks and bond respectively is $15,000 and $2000
Simple interest
Principal × rate × timeLet her total principal = p
Stock :
Interest = 15000 × 0.07 × 1 = 1050Bond :
Interest = (p - 15000) × 0.09 = 0.09p - 1350Total interest earned :
1050 + 0.09p - 1350 = 1230
-300 + 0.09p = 1230
0.09p = 1230 + 300
0.09p = 1530
p = $17000
Hence,
Amount invested in stock at 7% = $15000
Amount invested in bond at 9% = $17000 - 15000 = $2000
Learn more : https://brainly.com/question/25297296
HELP!
A group of activists wants to raise money for a good cause, so they decide to sponsor a bicycle race. It receives $60 per cyclist entry and $15,000 in donations, but it must spend $18 per entry to cover the cost of the race.
Write and solve an inequality to determine the number of cyclists the group needs to raise at least $57,000.
9514 1404 393
Answer:
60x +15000 ≥ 18x + 57000≥ 1000 cyclistsStep-by-step explanation:
We want ...
revenue ≥ cost + desired profit
60x +15000 ≥ 18x + 57000 . . . . . . an inequalty
42x ≥ 42000 . . . . . . . . . . . . . . . . subtract 18x+15000
x ≥ 1000 . . . . . . . . . . . . . . . . . . divide by 42
The group needs at least 1000 cyclists to raise at least $57,000.
6) Find the equation of a line that is parallel to y = 2x + 3 and passes through (-1,-1).
A) y = 2x + 1
B) y = 2x + 3
C) y = 4x + 3
D) y = 4x + 5
Answer:
A Y=2X + 1
Step-by-step explanation:
2x wouldn't the same because of the fact that is Is a parallel line and setting the slope to 1 caused it to pass through (-1,-1)
Which expression is equivalent to -19-11?
Answer:
uh lol can i get sum more context
Step-by-step explanation:
Which equation describes a line that passes through the points (0, -3)
and (2,7)?
Answer:
y = 5x - 3
Step-by-step explanation:
Help if so omg ur amazing
Answer:
12/35 of the road
Step-by-step explanation:
To find 2/5 of 6/7 you simply multiple and simplify if possible.
2/5 * 6/7 = (2*6)/(5*7) = 12/35
What is the HCF of two consecutive odd numbers? for 50 points
Answer:
The HCF of two consecutive odd number is 1.Step-by-step explanation:
What is the HCF of two consecutive odd numbers?
The HCF of two consecutive odd number is 1.
P g In the figure, lines m and nare parallel to each other. Lines p and q are also parallel to each other. 689 х The value of x is. degrees, and the value of y is degrees.
Answer:
220 i think
Step-by-step explanation:
Jimin wants to know whether if there is a difference in proportion of people who like mint chocolate chip-flavored ice cream between Americans and Koreans. She takes a random sample of 46 Americans and find that 30 of them like the flavor, and then she takes a random sample of 53 Koreans and find that 24 of them like the flavor. For a 95% confidence interval of the true difference in proportion of people who like this ice cream flavor, what is the margin of error (MOE)
Answer:
5hj
m5Step-by-step explanation:
Help Please, Missing Geometry Class because I am sick and don't understand this.
Answer:
niether do i
Step-by-step explanation:
A record-store owner assesses customers entering the
store as high school age, college age, or older, and
finds that of all customers 30%, 50%, and 20%, respectively, fall into these categories. The owner also found
that purchases were made by 20% of high school age
customers, by 60% of college age customers, and by
80% of older customers.
a. What is the probability that a randomly
chosen customer entering the store will make a
purchase?
Answer:
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jni'ipjh
Step-by-step explanation:
Solve for x: 3x2 + 5=4×
Answer:
this can't be solved
Step-by-step explanation:
11=4x 11/4=2 .75????
If a = -3, find the value of (the 2 on b and c is squared) a) 2a b) a2 c) 3a2
Answer:
4, -4, 36
Step-by-step explanation:
a) a*2 = -2*-2 = 4
b) a^2 = -2^2 = -4
c) a*3^2= 3*-2^2 = -36
answer this question for a brainly
Answer:
The missing value is 56.
Step-by-step explanation:
All side angles must add up to 180. So given the 2 angle measures 30+94 = 124.
Then subtract 180 from 124 to get your answer of 56.
When you add up all the angles, it gets you 180 evenly.
Solve the following proportion problem. Round to two decimals as need.
2.4/x = 5
Step-by-step explanation:
If you mean, 2.4 divided by x equals 5,
and we're to find x,
x=2.4÷5
x=0.48
Hope this helps, If so mark BRAINLIEST please
Two lines are _______ if and only if they lie in the same plane and intersect at right angles.
Answer:
I believe your answer to go in the blank should be bisectors. I hope this helps you! :)
A volunteer is buying 10 blankets for the animal shelter. Shipping the blankets costs $1.50 and the volunteer has $75 to spend. What is the maximum amount the volunteer can spend for each blanket? Write an inequality that would represent the situation and solve the inequality. Show your work to justify your answer.
ACTUALLY WRITE AN INEQUALITY ASAP 20 points guarenteed
Answer: 1.50x-75=10
Step-by-step explanation: they have $60 dollars because 10 times 1.50 is $15 so they have $60 to spend on blankets