Answer:
a) 855
b) We would need a Larger sample.
Step-by-step explanation:
(a) How large should the sample be to guarantee the margin of error will be no more than $3?
The formula for Margin of Error = z × Standard deviation/√sample size
z = z score of 99% confidence interval = 2.58
Standard deviation = $34
Sample size = n = unknown
Margin of Error = $3
√n = z × Standard deviation/Margin of Error
Square both sides
n = (z × standard deviation/Margin of Error)²
n =( 2.58 ×34/ 3)²
n = (29.24)²
n = 854.9776
Approximately, the size of the sample be to guarantee the margin of error will be no more than $3 is 855
(b) If we wanted a smaller margin of error, we would need a sample. (Enter: ''LARGER'', ''SMALLER'' or ''SAME SIZE'', without the quotes.)
We would need a Larger sample.
This is because, the larger the sample, the smaller the margin of Emerror and the smaller the sample, the larger the margin of error. Therefore, for the question b, we would be needing a larger sample.
Anurak has nickels, dimes, and pennies in his pocket. The coins in Anurak's pocket have a total value of 75 cents. He has three more nickels than dimes and five times as many pennies as dimes. How many coins of each type does Anurak have?
Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
We must have these informations in mind:
1) A penny is a 1-cent coin.
2) A dime is a 10-cent coin.
3) A nickel is a 5-cent coin.
Let be [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] the quantities of pennies, nickels and dimes, respectively. From statement we get that to value in Anurak's pocket is represented by this mathematical expression:
[tex]0.01\cdot x + 0.05 \cdot y + 0.10\cdot z = 0.75[/tex] (Eq. 1)
In addition, we get the following identities:
i) He has three more nickels than dimes
[tex]z + 3 = y[/tex] (Eq. 2)
ii) And five times as many pennies as dimes
[tex]x = 5\cdot z[/tex] (Eq. 3)
The system of linear equations is now reduced: (Eqs. 2, 3) in (Eq. 1)
[tex]0.05\cdot z +0.05\cdot z + 0.15 + 0.10\cdot z = 0.75[/tex]
[tex]0.20\cdot z = 0.60[/tex]
[tex]z = 3[/tex]
The remaining variables are [tex]y = 6[/tex] and [tex]x = 15[/tex].
Anurak has 15 pennies, 6 nickels and 3 dimes.
Answer:
Anurak has 15 pennies, 6 nickels and 3 dimes.
Step-by-step explanation:
what is 4(1/2+3/4)+(-2)
Answer:
3
Step-by-step explanation:
4(1/2+3/4)+(-2)
4 x 5/4 - 2
5 - 2
3
i hope this helps :)
Answer:
your answer is 3
Step-by-step explanation:
The ratio of dogs to cats at a veterinarians office is 5 to 3 if there are 15 cats how many total animals are at the office
Answer: 25
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
because if ther are 15 cats then you tomes the 3 by 5 so 5 x 5=25. Then you would do 25+15=40
Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7x+8 d) y=-1/7x+1
Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:
-1/7
So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.
7 = -1/7(7) + b
Simplify the right side
7 = -1 + b
Add 1 to both sides
8 = b
The equation of the perpendicular line is:
y = -1/7x + 8
Please help!!!!!!!!!!!
Answer:
with what?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertical angles are always congruent or equal
first when vertical angles are both 90 degrees , then vertical angles are supplementary and vertical
(01.06)
i’m please help
Answer:
the answer is -6
Step-by-step explanation:
x^2+36=0
x^2= -36
√x^2 = √-36
x= -6
Choose the best description of the following number 18
Answer:
4.243
step by step explanation:
-V35 is it an irrational number
ILL MARK BRAINLIST !! SHOW WORK
Answer: Here is your answer dude
evaluate each expression. (1/3)^4
Answer:
1/81
Step-by-step explanation:
[tex] \huge \bigg( \frac{1}{3} \bigg)^{4} = \frac{1}{ {3}^{4} } = \frac{1}{81} \\ [/tex]
please answer or i fail
Answer:
42
Step-by-step explanation:
360 - ( 139 + 45+ 90+44)
Answer:
42 °
Step-by-step explanation:
complete angle = 360 ° . therefore sum of all angles around a single point is equal to 360 ° .
360° - 139° - 45° - 90° - 44° = x
x = 180 - 138 = 42 °
When considering different sampling methods, cluster sampling includes the steps: _______.
a. use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample
b. list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list
c. starting with the one that was randomly selected
d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
e. identify individuals of the population that are easily accessible; obtain data from these individuals
Answer:
d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
Step-by-step explanation:
Remember, a cluster represents a selection out of a group belonging to a larger population. Thus, cluster sampling includes the steps;
divide the population into groups;use simple random sampling to identify a proportionate number of individuals from each group.For example, A bus company wants to survey all its customers for a particular day, using cluster sampling, they will randomly select 10 trips that day and survey some or all the passengers on those trips.
Answer:
B
Step-by-step explanation:
Pablo's retirement party will cost $8 if he invites 4 guests. If there are 6 guests, how
will Pablo's retirement party cost? Solve using unit rates.
Answer:
$12
Step-by-step explanation:
Step 1:
$8 : 4 = x : 6
Step 2:
4x = 48
Answer:
x = 12
Hope This Helps :)
The price of a stock was $325 a share. The price of the stock went down $25 each week for 6 weeks what was the price of that stock at the end of 6 weeks?
Answer:325 - (25 x 6 ) = $175
Step-by-step explanation:
Answer with proper units too!
Answer:
Step-by-step explanation:
1. Area of a parallelogram = base * height
area = 10 * 4 = 40 in squared
perimeter = 2(a + b)
perimeter = 2 * (5 + 10) = 2 * 15 = 30in
2. Area of triangle = 1/2 * base * height
area = 1/2 * 21 * 8 = 84 cm squared
perimeter = sum of outer perimeters
perimeter= 10cm + 17cm + 21cm = 48cm
3. area of trapezium = 1/2 * (a+b) * h
area = 1/2 * (6+12) * 4 = 36ft squared
perimeter = sum of outer perimeters
perimeter = 5ft + 6ft + 12ft + 5ft = 28ft
Simplify. 24/36 divided by 9/27
Find the two square roots of 9/4?
Answer: 0.75
Step-by-step explanation:
The two square roots of 9/4 is [tex]3/2[/tex].
It is required to find the two square roots of 9/4.
What is square root?A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.
Solution:
Using the principal square root:
[tex]\sqrt{9/4} \\\\=3/2[/tex] and [tex]3/2[/tex].
Hence, the two square roots of 9/4 is [tex]3/2[/tex].
Learn more about square roots here:
https://brainly.com/question/17835631
#SPJ2
The current temperature is 70 degrees at 8am. It is a hot day, so the temperature keeps rising 3 degrees every hour. What is the temperature at 1pm?
Answer:
85
Step-by-step explanation:8 to 1 pm is 5 hours I think XD so 5 times 3 degrees is 15 so 15 +70 is 85
The sum of two numbers is seventy-two. Twice one of them equals ten times the other. What are the numbers? Please Help MEE It would be Amazing
Let's create a system of equations to solve this.
x + y = 72
2x = 10y
Let's solve this equation for x
2x = 10y
Divide both sides by 2
x = 5y
Plug 5y into our first equation to solve for y
5y + y = 72
Combine like terms
6y = 72
Divide by 6
y = 12
x = 5y = 5(12) = 60
Earth’s diameter is approximately 12,760,000 meters. What is that number in scientific notation?
Answer:
1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108.
Step-by-step explanation:
Please help
A local business does $1200 in sales on Monday and $1400 dollars in sales on Tuesday.
Which of the following a correct sentence to describe the ratio of Monday to Tuesday?
Is 9.4 rational or irrational :p, please help
Answer:
i think its rational.
Step-by-step explanation:
Please help me out!!
[tex] {32}^{ \frac{1}{5} } = \sqrt[5]{32} = 2[/tex]
Answer:2
Answer:
Step-by-step explanation:
Prime factorize 32
32 - 2*2*2*2*2 = 2⁵
[tex]32^{\frac{1}{5}}=(2^{5}})^{\frac{1}{5}}=2^{5*{\frac{1}{5}}}\\\\\\=2[/tex]
Maggie's brother is 3 years younger than twice her age. The sum of their ages is 36. How old is Maggie? Maggie is years old.
Answer:
Maggie is 13 years old.
Step-by-step explanation:
Maggie's age is: x
Maggie's brother's age is: 2x - 3
The sum of the ages = 36
x + 2x - 3 = 36
3x - 3 = 36
3x = 39
x = 13
Answer: Maggie is 13 years old.
Study the dot patterns in parts (a) and (b) below. Assume that each pattern continues to increase by the same number of dots and in the same locations for each figure.
For each pattern, sketch the 4th and 5th figures. Then predict how many dots will be in the 100th figure.
Answer:
east-56 a=+b 2squared
Step-by-step explanation:
Which shows only a vertical translation from the shaded figure onto the unshaded figure?
On a coordinate plane, a triangle is shifted up.
On a coordinate plane, a triangle is shifted to the left.
On a coordinate plane, a triangle is enlarged to form another triangle.
On a coordinate plane, a triangle is shifted up and to the left.
Answer:A
Step-by-step explanation:
Answer: Answer is A
Step-by-step explanation: i got it right on edge 2023 <33
In Seattle, WA, it is said to rain 66% of the time. Since there are 365 days in a year, approximately how many days is it expected To rain?
In a year with 365 days, it should rain for about 240 of those days for the given condition.
What is the percentage?It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage. Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates.
It is supposed to rain 66% of the time in Seattle, Washington. Considering that there are 365 days in a year,
Suppose the number of days is it expected to rain obtained be x,
x=66% of 365
x=66/100 × 365
x=240,9 ≈ 240
Thus, it should rain for about 240 days.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
If AB=CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
Answer:
None of them are correct
Step-by-step explanation:
48 books on 6 shelves. How many books on 12 shelves?
Answer:
96 books
Step-by-step explanation:
because when you have 48 books on 6 shelves it is 8 books per shelf so it is 96 because 12 times 8 equals 96
The shelter has 90 dogs and 150 cats. of these animals 9 dogs and 27 cats receive medication. What percentage of animals receive medication?