Answer:
B. Simple random sampling.
Step-by-step explanation:
From the question we are informed about a research team conducts a survey to determine the area of land used for farming in Iowa. The team randomly selects house addresses and sends the survey by mail. In this case, the type of sampling method used is the Simple random sampling. A simple random sample can be regarded as a subset of a statistical population, whereby each member of this subset posses an equal probability of them being chosen. A simple random sample can be portrayed as an unbiased representation of a group.
Simple random sampling is utilized in to culling smaller sample size out of larger population so that it can be used to research and make generalizations as regards larger group.
The Natural History Museum has a 1:60 scale model of a tyrannosaurus rex dinosaur. The length of the model is 20 centimeters. Find the
actual length (in meters) of a tyrannosaurus rex.
Answer:
12 meters
20cm*60 = 1200cm = 12 meters
100cm = 1m btw
Classify the following as discrete or continuous random variables.
1. The weight of bags of apples, with 10 apples in each bag.
2. The number of times required for a modem to dial an internet provider before connecting.
3. Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.
4. A pair of dice is rolled, and the sum to appear on the dice is recorded.
Answer:
A discrete variable is a variable that can only take some selected given values from a given set, like x ∈ {x₁, x₂, ..., xₙ}
While a continuous variable can take any value in the range, like x ∈ {x₁, xₙ}.
1) The weight of bags of apples, with 10 apples in each bag.
Here the weight depends on the number of apples in the bag, and we can have only whole numbers of apples in the bag, so this is clearly a discrete variable.
2) The number of times required for a modem to dial an internet provider before connecting.
Same as before, here we can have only a whole number of attempts, so this set is discrete.
3) Out of 10 times connecting to an internet provider, the average number of attempts necessary before connecting.
Here we will have an average of 10 integer numbers:
[tex]M = \frac{x_1 + x_2 + ... + x_{10}}{10}[/tex]
so here we have a kinda dense set of possible values, so we can think of this as a continuous variable.
4) A pair of dice is rolled, and the sum to appear on the dice is recorded.
Here the possible values are whole numbers again, so we can not have values like 3.5, so again, this is a discrete variable.
Find the value of x to the nearest tenth.
Step-by-step explanation:
p^2+b^2=h^2
or, 16+9=h^2
or, 25=h^2
or h=5
again, p^2 +b^2=h^2
or, 25+b^2=36
or, b^2=11
or. b=√11 therefore b=x=√11
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is
Answer:
[tex]r =5[/tex]
Step-by-step explanation:
Given
[tex](h,k) = (-3,2)[/tex] -- center
[tex](x,y) = (1,5)[/tex] --- pass through
Required
The radius (r)
The equation of circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
So, we have:
[tex](1 - -3)^2 + (5 - 2)^2 = r^2[/tex]
[tex](4)^2 + (3)^2 = r^2[/tex]
[tex]16+9 = r^2[/tex]
[tex]25 = r^2[/tex]
Take square roots of both sides
[tex]5 = r[/tex]
[tex]r =5[/tex]
The storage space in a moving truck is shaped like a rectangular prism. It has a total volume of 16 cubic meters. The height and width are both 2 meters less than the depth. What are the dimensions of the storage space?
Answer:
The dimensions are four by two by two meters.
Step-by-step explanation:
The volume for a rectangular prism is given by:
[tex]V=\ell wh[/tex]
Where l is the length (or depth), w is the width, and h is the height.
Since the height and width are both two meters less than the depth, we can write that:
[tex]h=\ell -2\text{ and } w = \ell -2[/tex]
We are also given that the total volume is 16 cubic meters. Substitute:
[tex]16=\ell(\ell -2)(\ell -2)[/tex]
Expand:
[tex]16=\ell(\ell^2 -4\ell +4)[/tex]
Distribute:
[tex]16=\ell ^3-4\ell ^2+4\ell[/tex]
Isolate the equation. So:
[tex]\ell ^3-4\ell ^2+4\ell -16=0[/tex]
We can factor by grouping. From the first two terms, factor out a l² and from the last two terms, factor out a 4:
[tex]\ell ^2(\ell -4)+4(\ell -4)=0[/tex]
Factor:
[tex](\ell ^2+4)(\ell -4)=0[/tex]
Zero Product Property:
[tex]\ell ^2+4=0\text{ or } \ell - 4=0[/tex]
Solve for each case:
[tex]\ell^2=-4\text{ or } \ell =4[/tex]
Since we cannot take the square root of a negative number, we can ignore the first case.
Therefore, the length (or depth) of the storage space is four meters.
Thus, the dimensions are four by two by two meters.
What is the area of this tile?
HELPP PLEASEEE
12? im not sure
i think u need to multiply 6 and 2 to get your answer.
2x -20 = -30
What is x?
PLS HELP ASAP !!! PLSSS !!
Answer:
x=66 degree
Step-by-step explanation:
x+114 =180 degree (the relation between x and 11 degree is that they are same side interior angles and sum of same side interior angles is always 180 degree)
x=180-114
x=66
Answer:
X= 180-114
(Angles on a straight line adds up to 180°)
x= 66°
what is the price of a mobile set whose marked priced is Rs.15000 and 13% vAT was levied after allowing 20%discount on it.
Answer:
Rs. 18080
Step-by-step explanation:
Given :
Marked price = Rs. 20000
Discount = 20%
Discounted price = (100-20)% * marked price
Discounted price = 80% * 20,000 = Rs. 16,000
The VAT = 13%
VAT charge = 13% * 16,000 = Rs. 2080
Final price = discounted price + VAT charge
Final price = 16000 + 2080 = Rs. 18080
If y = -5x + 2 were changed to y=-7x+ 5, how would the graph of the new line compare with the first one? A. The new graph would be less steep than the original graph, and the y-intercept would shift down 2 units. B. The new graph would be less steep than the original graph, and the y-intercept would shift up 3 units. O C. The new graph would be steeper than the original graph, and they intercept would shift down 2 units. D. The new graph would be steeper than the original graph, and the y intercept would shift up 3 units.
D- The new graph would be steeper than the original graph, and the y- intercept would shift up 3 units.
The purple line is y=-5x + 2
The pink line is y = -7x + 5
Help please ASAP ASAP ASAP
Answer:
13A
Step-by-step explanation:
The distance between two points P=(px,py) and Q=(qx,qy) is d=(qx−px)2+
NEED HELP ASAP! Which condition would prove JKL ~ XYZ?
Measure the size of the angle between the 9cm and 6cm triangular sides to the nearest degree
Answer:
This is a protractor question if you dont have one then try these on a calculator.
when angle is between two lines we need see where the hypotenuse is in the diagram and where is the adjacent.
And whether the triangle is right angle or not.
Try these
shift sin -1 x sin 9/6 (for opp/hyp)
shift sin -1 (9/6) (for opp/hyp)
shift sin -1 x sin 6/9 (for opp/hyp)
shift sin -1 (6/9) (for opp/hyp)
shift cos -1 x cos 9/6 (for adj/hyp)
shift cos -1 (9/6) (for adj/hyp)
shift cos -1 x cos (6/9) (for adj/hyp)
shift cos -1 (6/9) (for adj/hyp)
shift tan -1 x tan (9/6) ( for opp/adj)
and so on....
Step-by-step explanation:
what are the approximate measurements of each given measurement to the nearest centimetre, then find the sum: 16.4 cm + 12.8 mm + 9.6 cm + 14.6 mm
Answer:
54
Step-by-step explanation:
16.4= 16
12.8= 13
9.6= 10
14.6=15
16 + 13 +10 +15 = 54
Darrell builds and sells bookcases to earn money. He earns $20 for each bookcase he sells. The more bookcases he sells, the more money he earns. What is the dependent variable in this situation?
Answer: The total amount of money Darrell earns selling bookcases
Answer
Step-by-step explanation:
The dependent variable refers to the variable which is tested or measured or tested when an experiment is done. The dependent variable normally depends on the independent variable.
In this question, the independent variable is the bookcase while dependent variable is the total amount of money Darrell earns selling bookcases.
Find the width of a cereal box that has a volume of 11,856 cm3 and is 39 cm long and 38 cm high. please help
Answer: The width is 8cm
Step-by-step explanation:
39x38=1482
11856÷1482 = 8cm
I need help??????????????
Answer:
f(n) = 4n + 16
Step-by-step explanation:
n is the nth number in the sequence
plug in the first 3 to check the rule:
4(1) + 16 = 4 + 16 = 20
4(2) + 16 = 8 + 16 = 24
4(3) + 16 = 12 + 16 = 28
it works
Write a number that is greater than 100 and less than 1000.
Divide that number by 10 or 100.
The quotient should be a number that is less than 100 but greater than 1.
Answer:
150
Step-by-step explanation:
150 is greater than 100 and less than 1000.
150 can divide by 10.
The quotient of 150 is less than 100 but greater than 1.
96 sq meters
144 sq meters
84 sq meters
102 sq meters
Pls show work I get different answers from people every time
What is the y-intercept of the graph of the line whose equation is y = -2/5x + 4?
1) - 5/2
2) - 2/5
3) 0
4) 4
I’ve been stuck on this question for so long I need help with it.
Answer:
4
Step-by-step explanation:
in y=mx+b, the "b" is the y-intercept
Answer:
4
it's in y = mx + b form, where b is the y-intercept
which of the following is most likely the next step in the series?
Xác suất thống kê: Người ta tổng kết các phương pháp chẩn đoán dạ dày tá tràng. Trên lâm sàng chẩn đoán đúng 60%; X-quang 70%; nội soi 80%. Kết hợp cả 3 phương pháp thì khả năng chẩn đoán đúng là bao nhiêu?
Answer:
Step-by-step explanation:
iam a gay 345366e2673
To purchase $14.400 worth of machinery for his business, Greg made a down payment of $1400 and took out a business loan for the rest. After 2 years of
paying monthly payments of $576.18, he finally paid off the loan.
Answer:
below
Step-by-step explanation:
cost of the machinery = $14,400
he paid a deposit of $1400
then later paid $576.18 for two years
two years = 24 months
= $576.18 *24
=$13,828.32
total amount paid
= initial deposit + amount paid in two years
= $1,400 + $13,828.32
=$15,228.32
so he finally paid $15,228.32
interest = selling price - original cost
= $15,228.32 - $14,400
=$828.32
therefore interest = $828.32
A farmer has a rectangular field with length 1 mile and width 0.5 miles. How much fencing would it take to enclose his field?
Answer:
3 mi of fencing would be required to enclose this field.
Step-by-step explanation:
Here we are finding the perimeter of a field with given length and width. We apply the perimeter formula P = 2L + 2W. Substituting the given dimensions, we get:
P = 2(1 mi) + 2(0.5 mi), or
P = 2 mi + 1 mi = 3 mi
3 mi of fencing would be required to enclose this field.
Answer:
15840 feet of fencing = Perimeter = 15840ft
However, if fencing is 6ft or 10ft we need to divide by the length of each fence for panels.
See bold.
Step-by-step explanation:
6ft fencing = 5280/6 = 880 fences one length
880 x 2 = 1760 6ft fences 2 sides
0.5 x 1760 = 880
1760+ 880 = 2640 fences each 6ft
Total feet of fence = 2640 x 6 =15840 feet of fencing
(a)
There are 33 liters of orange juice at a school party. 1010 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
___liters
Enter your answer as a fraction or a mixed number.
(b)
Write a number sentence that represents the problem.
___________ = __________
In the first box write an equation like 1+11+11+1 . In the second box, write your answer.
PLS DON'T FOR GET TO DO PART B TOO I AM BEGING YOU!
Answer:
a) 30.60
b) 1010/33 = 30.60
Step-by-step explanation:
Please help me on this question, ignore the pencil marks.
The answer choices are
A. 4
B. 5
C. 6
D. 7
E. 8
What is 15 percent in 660
Answer:
99
Step-by-step explanation:
10% = 66
5% = 33
66+33=99
can anyone help with this trig question?? any help would be greatly appreciated! :)
Answer:
Step-by-step explanation:
Hope this helps u!!
3. Teacher Carmen is a SPED teacher of children with behavioural problems. One day, she
found one pupil disturbing the rest of the class. Furious of what she saw, she got her
eraser and threw it to her pupil who was hit in the forehead. Do you agree with Teacher
Carmen's action to discipline her pupil?
a. Yes, because she has to correct the mis behaviour immediately.
b. No, because she acted at the height of her anger.
C. Yes, because the pupil's behaviour is disturbing the class and the teaching process.
The Teaching Profession
d. No, because a more appropriate technique can be used to control the behaviour
Answer:
d.
Step-by-step explanation:
No, because a more appropriate technique can be used to control the behaviour
What is the thirteenth number in the Fibonacci sequence
Answer:
The 13th number in the Fibonacci sequence is 144.
Step-by-step explanation:
The sequence from the first to the 13th number is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
[tex]\huge\boxed{\sf 144}[/tex]
A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.
[tex]\sf 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \boxed{144}, 233, 377,...[/tex]
