Answer:
The probability that 121 or more Americans in the survey are afraid to fly is 0.1335.
Step-by-step explanation:
Let X denote the number of Americans afraid to fly.
The proportion of Americans afraid to fly is, p = 0.10/
A random sample of n = 1100 Americans are selected.
The random variable X follows a Binomial distribution with parameters n = 1100 and p = 0.10.
But the sample selected is too large and the probability of success is close to 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:
1. np ≥ 10
2. n(1 - p) ≥ 10
Check the conditions as follows:
[tex]np=1100\times 0.10=110>10\\\\n(1-p)=1100\times (1-0.10)=990>10[/tex]
Thus, a Normal approximation to binomial can be applied.
So, [tex]X\sim N(np,\ np(1-p))[/tex]
Compute the probability that 121 or more Americans in the survey are afraid to fly as follows:
[tex]P(X\geq 121)=P(\frac{X-np}{\sqrt{np(1-p)}}>\frac{121-110}{\sqrt{99}})\\\\=P(Z>1.11)\\\\=1-P(Z<1.11)\\\\=1-0.86650\\\\=0.1335[/tex]
Thus, the probability that 121 or more Americans in the survey are afraid to fly is 0.1335.
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 5. If there were 4160 no votes, what was the total number of votes?
Answer:
The total number of voters was 7488
Step-by-step explanation:
Let us solve this question using the ratio method
∵ The ratio of yes votes to no votes was 4 to 5
∵ There were 4160 no votes
∵ We need to find the total number of votes
∵ The total of the ratio = 4 + 5 = 9
→ By using the ratio method
→ YES : NO : Total
→ 4 : 5 : 9
→ x : 4160 : y
→ By using the cross multiplication
∵ 5 × y = 4160 × 9
∴ 5y = 37440
→ Divide both sides by 5 to find y
∵ [tex]\frac{5y}{5}[/tex] = [tex]\frac{37440}{5}[/tex]
∴ y = 7488
∵ y represents the total number of voters
∴ The total number of voters was 7488
What is an equivalent exponential equation? log5(125)=−2
Answer:
Step-by-step explanation:
[tex]log_{a} c = b[/tex] ⇔ [tex]a^{b} = c[/tex]
There is no exponential equation equivalent to given logarithm's equation.
[tex]log_{5} 125 \neq -2[/tex]
[tex]5^{-2}[/tex] = [tex]\frac{1}{25}[/tex] ≠ 125
May be you made mistake and instead of 1/25 you just typed 125 ??? Oh, well ......
helpppp please will give brainliest
Answer: im pretty sure its y=18x-5
Step-by-step explanation: yuh yuh
Rachel is on her way home in her car. Her drive is 24 miles long. She has finished three-fourths of the drive so far. How far has she driven?
Answer:
The length of the drive is 36 mi
Step-by-step explanation:
How many 1/6 hamburger patties can be made with 1/2 pound of hamburger meat
Answer:
3.
Step-by-step explanation:
please brainliest
Answer:
3 hamburger patties can be made
Step-by-step explanation:
If you do 1/6 + 1/6 + 1/6 it would be 3/6 which, when simplified, would be equivalent to 1/2
Hope this helps!
What is an equation of the line that passes through the point (- 1, 2) and is parallel to the line 3x + y = 3 ?
Answer:
y=-3x-1
Step-by-step explanation:
hope it helps.
1. A dressmaker whats to make a handkerchief. She has a cloth with a length of 30 cm and 48 cm long.She cuts them into equal lengths. What is the greatest possible length of each cloth?How many handkerchief can she make?
2. Shane has 4 different pens. It is composed of 8 purpl, 16 yellow, 24 blues and 32 pinks. She wants to give it to her cousins. What is the highest possible number of her cousins?What ate the color combinations of pens for each of them? How many pens will they receive?
help me pls
Answer:
Answer one= 6
Step-by-step explanation:
Problem #1
30 divided by 6 is 6
and 48 divided by 6 is 8
so she/ he can only make 6 full ones
FIND THE EQUATION OF THE LINE!!!
USE EXACT NUMBERS
EXAMPLE!
y= ( )x + ( )
Answer:
y=mx+b is the form to write this equation. M is the slope and B is the y intercept. therefore:
y=4x-9
Step-by-step explanation:
Calculate the area of a square with sides of 5 inches.
Answer:
A = 25 in²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
Area of a Square: A = x²Step-by-step explanation:
Step 1: Define
Side length = 5 in
Step 2: Solve for A
Substitute: A = (5 in)²Evaluate: A = 25 in²And we have our final answer!
Answer:
25 inches squared.
Step-by-step explanation:
Since we know a square has 4 sides of equal length, and one of the sides has been given to us (5 inches), it's safe to assume the rest of the sides are the same. To find the area, we multiply length x width (5 x 5) to get 25 inches squared. Hope this helps! xx
Graph a line with a slope of -3that contains the point (4,-2)
Answer:
Step-by-step explanation:
This table gives a few (x,y) pairs of a line in the coordinate plane
Answer:
where is the coordinate plane picture?
Step-by-step explanation:
Picture?
Answer:
You forgot to add the picture.
Step-by-step explanation:
Polly walked a total of 20 kilometers by making 4 trips to school. How many trips will Polly have to make in all to walk a total of 50 kilometers? Assume the relationship is directly proportional.
Answer:
ffffffffffffffffffffffffffffffffffff
Step-by-step explanation:
PLEASE HELP ASAP WILL GIVE BRAINLEIST!!
If Amerie earn $120 in interest in 5 years on money that was invested at 6%, find the original principal.
Answer:
Original principal = 400
Step-by-step explanation:
Given:
Interest amount = $120
Rate = 6%
Time = 5 years
Find:
Original principal
Computation:
Interest amount = Original principal x Rate x Time
120 = Original principal x 6% x 5
Original principal = 400
Use the figure to find the measures of the
numbered angles.
1/2
a
107°
b
Answer:
∠1 = 107
∠2 = 73
Step-by-step explanation:
A vehicle travels 35 miles in 5 hours. What is the unit rate, per hour, that the vehicle travels?
A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that is 5% seed to get a mixture that is 40% seed. Tom wants to add 114 grams of the 5% seed, and Sally wants to add 115 grams of the 5% seed mix. Please help my brain is dying from this i dont understand some of middle school math.
Answer:
Step-by-step explanation:
I need help to
xy+1
for
x=6 and y= -4
Answer:
-23
Step-by-step explanation:
6x4=-34+2=-23
Boxerville middle school is going to rent some vans to take students on a field trip. Each van can hold 8 students if a total of 88 students are going on field trip how many vans are needed
Answer:
11 bus are needed
Step-by-step explanation:
Do 88 divided by 8, that will give you the number of buses
solve the equation: 36+15x-48+10x
Answer:
-12+25x
Step-by-step explanation:
calculate the like terms
-12+15x+10x
-12+25x
Helpppp will give brainlist !!!!!!
Answer:
8. The coordinates (0,0) represent the fact that when 0 minutes has passed, the horses have gone 0 miles because they hadn't started yet.
9. From the graph, it looks like horse A takes 4 minutes and horse B takes 2.5 minutes (aka 2 minutes and 30 seconds) to travel 1 mile.
10. For A: y = (1/4)x
For B: y = (2/5)x
11. For A: 3 miles
For B: (24/5) miles, or 4 and (4/5) miles.
12. Can't see the entire problem sorry.
Step-by-step explanation:
9. You find this by going to y=1 and look towards the right till you find the point the line intersects with y=1. Then find the x value by finding the corresponding number on the x axis.
10. A linear function will look something like this: y = mx+b, where y is the y value, x is the x value, m is the slope, and b is the y-intercept. Since both lines start from 0, you don't have to write the y-intercept since there's no point in writing +0. To find slope, you find delta y over delta x. Basically just find the difference of two y values and the difference of two x values from the same coordinate in the same order. I know that sounds really confusing but your teacher will probably teach this later on.
11. x represents the time, so just substitute x as 12 in the equation.
7 large tanks and 40 fish in each tanks how many fish on display
Answer:
280
Step-by-step explanation:
All you have to do is 7x4 and look for how many 0's there are in the equation and add them on.
Greg is saving money to buy a game. The game costs $30, and so far he has saved two-thirds of this cost. How much money has Greg saved?
Answer:
$20
Step-by-step explanation:
Answer:
$20
Step-by-step explanation:
$30*2/3 is $20.
Hope this helps :D Please mark brainliest and hit that crown :D
The domain of both functions will be ?
A)the set of natural numbers
B)the set of integers
C)all real numbers
D)the set of whole numbers
E)the set of rational numbers
PLEASE HELP ME
Warmup: Which of the geometric figures are scaled copies of each other? What is the scale factor of the images you choose?
a. In the Example, what is the constant of proportionality for cups of vinegar to
cups of spray cleaner?
b. Jasmine is making more of the spray cleaner. She only wants to use 1 cup of
water. How much of the spray cleaner will Jasmine make? Show your work.
Answer: for a, I got 1/8 and for b. I got 10/15 because your taking away .5 to get a cup so you would have 10/15 left from the original amount
Step-by-step explanation:
Answer:
she will make 10/15.
Step-by-step explanation:
Out of 9000 college students surveyed, 540 responded that they do not eat breakfast. What percent does not eat breakfast
Answer:
6%
Step-by-step explanation:
540 ÷ 9000 = .06
.06 = 6%
The equation r = 4sin(θ) represents a circle. What is the radius of the circle, and what is the symmetry of the graph?
Answer:
The radius is 2 units, and the graph is symmetric about the line Theta = StartFraction pi Over 2 EndFraction. Its A
Step-by-step explanation:
Cesar, Carlos, David, and Edwin decided to have a push-up contest. The following table describes the push-up speeds of the four boys. Which boy has the fastest speed?
Answer:
Edwin (55 push-ups per minute)
Step-by-step explanation:
We need to find the actual number of pushups per one minute in order to compare them on the same base (per ONE minute). So we do"
Cesar: 200 / 4 = 50 pu/min
Carlos: 240 / 5 = 48 pu/min
David: 150 / 3 = 50 pu/min
Edwin: 110 / 2 = 55 pu/min
Therefore, Edwin is the fastest since he does more pushups per minute.
Which equation is equivalent to 7-2(3x+4)=8x
A -6x+15=8x
B-6x-1=8x
C15x+20=8x
The equation that is equivalent to the expression 7-2(3x+4)=8x is
-6x - 1 = 8x.
Option B is the correct answer.
We have,
To find the equation that is equivalent to 7-2(3x+4)=8x, simplify the given equation by applying the distributive property and combining like terms.
7 - 2(3x + 4) = 8x
First, distribute the -2 to the terms inside the parentheses:
7 - 6x - 8 = 8x
Combine like terms:
-6x - 1 = 8x
Thus,
The equation that is equivalent to the expression 7-2(3x+4)=8x is
-6x - 1 = 8x.
Learn more about equations here:
https://brainly.com/question/17194269
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For a concert 5,000 tickets were sold, and the proceeds were $72,000. Tickets for children 16 and younger were $10, adults were $20, and seniors 60 and older were $15. There were 3 times more children than seniors at the concert. What system of equations represents the number of children, c, adults, a, and seniors, s, that attended the concert?
Answer:
The answer is:
[tex]( c + a + s) = 5000\\\\(10c + 20a + 15s) = 72000\\\\c = 3s[/tex]
Step-by-step explanation:
Ticket number sold = 5000
Ticket revenue Selling = 72,000 dollars
Kids 16 and younger tickets = $10
adults=$20
senior citizens= 60
Old = $15
Let:
Children's number, c ;
Ownership, a;
The aged, s,
Also at the event, there were 3 times many more kids as the senior citizens; c=3 total amount attendees= 5000
5,000= (c + a + s)
Total wages or income
72000= (10c + 20a + 15s)