7. A recent report states that 89% of Americans consider themselves above average drivers. A local newspaper is planning on conducting a survey to investigate whether this is true locally. If the newspaper assumes that the 89% claim is true and plans to use the normal approximation to calculate probabilities associated with their sample proportion, which sample size would be most appropriate
The available options are
A) 10
B) 11
C) 30
D) 91
E) The number depends on the size of the population.
Answer:
91
Step-by-step explanation:
Given that for the normal approximation, we need that:
np > 5 and np(1-p) > 5
Hence, we have
n = 91
91*0.89 = 80.99
91*0.89*0.11 = 8.9089 > 5
Therefore the answer gotten is satisfactory or satisfies the condition, and which makes 91 the accurate solution.
The other options, when calculated is less than 5
You have a 25 cm piece of ribbon. How many cuts do you need to make to obtain the greatest number of pieces, where each piece is a different length and the length of each piece is a whole number, in centimeters?
Answer:
The cloth length is 400cm
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
honestly the easiest way to do this question is trial and error.
to cut the ribbon into 5 pieces they have to be sizes 3cm, 4cm, 5cm, 6cm and 7cm
(6,-5) is a point on the terminal side of 0. Find the exact values of cos0, csc0, and tan0.
point (6, -5) => x = 6, y = -5
r =√6² +(-5)² = √(36+25)=√61
the exact value of :
cos 0 = x/r = 6/√61 = 6/61 √61
csc 0 = r/y = √61/(-5) = -1/5 √61
tan 0 = y/x = -5/6
Answer:
Solutions given:
(6,-5)=(x,y)
r=[tex]\sqrt{6²+(-5)²}=\sqrt{61}[/tex]
Now
Sin θ=[tex] \frac{y}{r}[/tex]=[tex] \frac{-5}{\sqrt{61}}[/tex]
Cosθ=[tex] \frac{x}{r}[/tex]=[tex] \frac{6}{\sqrt{61}}[/tex]
CSC θ=[tex] \frac{r}{y}[/tex]=[tex] \frac{\sqrt{61}}{-5}[/tex]
Tan θ=θ=[tex] \frac{y}{x}[/tex]=[tex] \frac{-5}{6}[/tex]
Note:
p=y
b=x
h=r
SOMEONE PUT AN ANSWER SO IT DOESNT GET DELETED!!!
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is zx square units,
The area of the cylinder's base is ex square units,
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
THE ANSWER IS B AND E
Answer:
The height of the cylinder is 4x units.
Step-by-step explanation:
volume of a cylinder = nr^2h
n = 22/7
r = radius = x/2
Let illustrate with an example. If the diameter of a cylinder is 6 and the volume is 6^3 = 216. The radius = 6/2 = 3
n3^2 x h = 216
h = 216/9 = 24
so the height is 4 times the diameter
Area of the base = nr^2
1/2^2 x x = 1/4 pi x^2
The U.S. Department of Agriculture records data on farm acreage and number of farms by county for every county in the country. This takes considerable time and energy, and the results for each update (usually occurring approximately every five years) are a long time in process. A quicker way to update the data is by sampling. The table below shows the number of counties in each geographic region and a summary of farm acres (in thousands) for independent random samples of 22 counties from each region.
Region Number of counties
North Central 1052
North East 210
South 1376
West 418
Required:
a. Estimate the mean acreage for each region, with a margin of error.
b. Estimate the total acreage for each region, with a margin of error.
c. Estimate the difference between mean acreage for the North Central region and the South, with a margin of error.
d. Estimate the difference between mean acreage for the North East and the West, with a margin of error.
e. Estimate the mean acreage per county across the United States, with a margin of error.
Solution :
From the table,
Number of countries = [tex]$N_i$[/tex]
Mean = [tex]$\overline Y_i$[/tex]
Standard deviation = [tex]$\sigma_i$[/tex]
Margin of error of B = 50,000 acres
So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].
Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex] is given by :
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
Let us complete the numerator
[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]
[tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]
= 453329920
The bound on the error of estimation is B = 50,000 acres
Hence we get
[tex]$D=\frac{B^2}{H}$[/tex]
[tex]$=\frac{50000^2}{4}$[/tex]
= 625,000,000
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
[tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]
= 220.24044
≈ 221 (approximately)
Therefore, the sample size under the proportional allocation from each stratum are given by :
[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1052}{3056}\right]$[/tex]
≈ 76
[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{210}{3056}\right]$[/tex]
≈ 15
[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1376}{3056}\right]$[/tex]
≈ 100
[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{418}{3056}\right]$[/tex]
≈ 30
Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.
We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.
Cage has been given two offers. Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. Which offer is better if Cage can play 8 games in the season?
Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. At what point these two offer's graphs intersect?
(5, 2000000)
(5, 2)
(16, 3600000)
(50, 20000)
Answer:
1. Tallahassee Jellyfish is the better offer 2. (5, 2000000)
Step-by-step explanation:
1.
Since g = 8, p1 = 400000 * 8 = $3,200,000
and p2 = 1250000 + 150000 * 8 = $2,450,000
2.
400,000g = 1,250,000 + 150,000g
250,000g = 1,250,000
g = 1,250,000 / 250,000 = 5.
at g=5, you can use either graph to find the y value.
400,000 * 5 = $2,000,000
(5, 2000000)
estimate the following by rounding off the numbers to nearest 100
a)875 + 291 b)866 x 625
Answer:
a 875 is 900 b 866 multiply by 625 ans is 541280
Plz help me well mark brainliest if you are correct!..
Answer:
8
Step-by-step explanation:
all numbers must be positive when you have the lines on the side
Answer:
8
Step-by-step explanation:
Jaclyn bought a PS4 game that was on sale for 20% less than the original price. The original price was $10 more than the sale price.
What was the ORIGINAL price?
Explain your answer.
Answer:
$50
Step-by-step explanation:
If the original price was $10 more than the sale price, so we know that in this case, 20% = $10. Because 20% is equivlalent to [tex]\frac{1}{5}[/tex], multiply $10 by 5 to get the answer of $50.
what is the median of the data? 68,69,71,71,71,73,74,75,75,78 answers: 71,72,78,72.5
Seventy of Jo’s students are traveling by bus to the aquarium. They rented 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a van. The equation 2b+6=70 represents the given scenario. What does B represent?
A. The number of students who rode on each bus
B. The number of buses
C. The total number of students going to The football game
D. The number of vans
Answer:
A
Step-by-step explanation:
Eight new graduates are hired by an engineering firm. Each is assigned at random to one of eight cubicles arranged in a row in the back of the room that houses the engineering staff. Two of the graduates are Bill and Cathy. What is the probability that they are assigned adjacent cubicles
Answer:
the probability that they are assigned adjacent cubicles is 1 ÷ 4
Step-by-step explanation:
Given that
There is 8 new graduates are hired
2 of the graduates are bill and cathy
And, each one is assigned on random basis
We need to find out the probability
So,
= (2) (7!) ÷ (8!)
= (2) ÷ (8)
= 1 ÷ 4
Hence, the probability that they are assigned adjacent cubicles is 1 ÷ 4
The same would be relevant
Which word best describes the degree of overlap between the two data sets?
none
moderate
high
low
Answer:
Moderate
Step-by-step explanation:
I think sorry if its wrong
alls arrive at a call center at an average rate of 100/min. Depending on the availability of a service representative, calls may be either answered immediately or wait in line for the next available representative. On average, including waiting time, a call requires 4.4 minutes. How many callers, on average are in the system at any given time
Answer:
the number of callers on average are in the system at any given time is 440
Step-by-step explanation:
Given that
The calls that arrive in a call center have an average rate of 100 per min
But it we involve the waiting time so the call needed 4.4 minutes
We need to to find no of callers are in the system at any given time
SO,
= 100 per min × 4.4
= 440
hence, the number of callers on average are in the system at any given time is 440
The same would be considered
There are eight boys and seven girls in a class. The teacher randomly selects three different students to answer questions. What is the probability that the first two students are girls followed by a boy?
the probability is 7/15
Step-by-step explanation:
because there are 7 girls and 8 boys
The hanger image below represents a balanced equation.
Answer:
...
Step-by-step explanation:
j - 19
I'm not sure if it's correct though. Hope it helps.
please help
thank you
Answer:
Step-by-step explanation:
-4<n≤5
A truck weighs 14,000 pounds how many tons do two truck weigh
Answer:
14 tons
Step-by-step explanation:
1 truck -- 14 000 pounds
2 trucks -- (14 000 * 2) = 28 000 pounds
1 pound --- 0.0005 tons
So, 28 000 pounds --- 14 tons
Thenks and mark me brainliest :)
what is the volume of this container? 2000 cm? 2125 cm? 125 cm? 1875 cm?
Answer:
125cm^3
Step-by-step explanation:
5x5x5=125
Hope this helped :)
The histogram shows the ages of the players in an adult volleyball league. Which of the
following statements is true?
Volleyboll Players Ages
The older the age group, the greater the
number of players
5
There are 30 players between ages 20 and 25.
Number of Players
More than half of the players are under age
40.
20% 30% 50's 70's
Age Group
There must be 5 players between 50 and 55.
Answer:
More than half of the players are under age
40.
Step-by-step explanation:
Evaluating the expression : More than half of the players are under age 40.
Below 40s :
Number of players in 20s = 19
Number of players in 30s = 24
(19 + 24) = 43 players
40s and above :
40s = 8 players
50s = 10 players
60s = 5 players
70s = 2 players
(8 + 10 + 5 + 2) = 25 players
Hence, total number of players below 30s is more Than half of the total players
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWER 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
26. H
Step-by-step explanation:
26. An acute angle just has to be less than 90 degrees. Therefore, H is the correct choice.
Please mark as brainliest
Answer:
Angle H
Step-by-step explanation:
Angle H is correct because it is less than 90 degrees. Any angle more than 90º is obtuse. Any angle that is 90º is classified as a right angle.
For example,
Angle I is an obtuse angle.
Angle F is a right angle.
If this helps, please mark Brainliest!
Have a wonderful rest of your day!
1. An object is blasted upward at an initial velocity of 320 ft/s. The height, h(t), of the object is a function of time, t (in seconds), and is given by the formula h(t) = -16t2 + 320t. How long will it take the object the hit the ground after takeoff?
Answer:
20 seconds
Step-by-step explanation:
roots are (0,0) and (20,0) so 20-0 will provide the time from takeoff to landing
Write the number shown in standard notation.
5.29 x 10
A. 52,900
B. 5,290,000
C. 5,290
D. 529,000
Answer:
It's A
Step-by-step explanation:
5,29×10=52,9
you move coma one place to the right when times 10
Answer:
52.9.
Step-by-step explanation:
[tex]5.29*10=52.9[/tex]
Whenever a number is multiplied by 10, move the decimal one place to the right.
Whenever a number is multiplied by 100, move the decimal two places to the right.
Whenever a number is multiplied by 1000, move the decimal three places to the right.
I'm sure you understand now.
Therefore, the product is 52.9.
However, I do not see an answer choice for this. Perhaps you made a mistake?
If a student scored in the upper quartile, they received a treat from Mrs. Jones. What is lowest score they can earn and receive a treat?
NEED HELP! What is the value of x?
Step-by-step explanation:
from the triangle
let angle close to 130⁰ be y
130⁰+y⁰=180⁰(sum of angles on a straight line)
y⁰= 180⁰-130⁰
y = 50⁰
70 + y + x = 180⁰(sum of angles in a triangle)
70 + 50 + x= 180⁰
x= 180⁰-120⁰
x=60⁰
Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?
Answer:
its a
Step-by-step explanation:
The ratio of red chairs to blue chairs in the cafeteria is 3:5. If there are a total of 144 chairs in the cafeteria, how many are red?
Answer:
54.
Step-by-step explanation:
The fraction that are red = 3/(3+5) = 3/8.
So number of red chairs = 3 * 144/8
= 54.
Help please it is do in 1hour
Answer:
The area of the triangle is 40 [tex]yd^2[/tex].
Step-by-step explanation:
The formula for finding the area of a triangle is [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] and [tex]h[/tex] represents the base length and height respectively. Since the height is 10 yards, and the base length is 8 yards, that means the area will be [tex]\frac{1}{2} * 8 * 10 = \frac{1}{2} * 80 = 40 yd^2[/tex].
Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?
-8, 2), 2
(2, -8), 2
(8, -2), 2
(-2, 8), 2
Solve for x. Round to the nearest tenth, if necessary.
Answer:
Step-by-step explanation:
take 35 degree as reference angle
using cos rule
cos 35=adjacent/hypotenuse
0.81=x/78
78*0.81=x
63.18=x
63.2=x
The value of x for the given triangle is x = 63.2.
Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.
Given that the angle is 35 and the adjacent side is x and the hypotenuse is 78.
The measure of value x will be calculated below,
cos(35)°=adjacent/hypotenuse
0.81=x/78
Multiply the value by 0.81 by 78 and solve for x,
78 x 0.81=x
63.18=x
63.2=x
Therefore, the value of x will be 63.2.
To know more about trigonometric functions follow
https://brainly.com/question/1143565
#SPJ6