Answer: the required sample size =1658944
Step-by-step explanation:
When the prior population proportion for the study is unknown , then the formula for sample size is [tex]Sample \ size = 0.25(\dfrac{z^*}{Margin\ of \ error})^2[/tex]
z-value for 99% confidence = 2.576
[tex]Sample \ size = 0.25(\dfrac{2.576}{0.001})^2\\\\=0.25(2576)^2\\\\=1658944[/tex]
Hence, the required sample size =1658944
Question 7
Find the volume.
Answer:
A: 686π≈2,156
Step-by-step explanation:
First, you need to find the area of the circle then times that by 14.
π[tex]r^{2}[/tex] Formula for the area of a circle
π[tex]7^{2}[/tex] r stands for radius, so you divide the diameter by 2 and get 7.
π49 This is the area of the circle
π49×14 Now multiply by 14
=686π This is your answer.
=2155.13256 When you times it by pi this is what you get
=2156 This is your answer if you want it rounded up
PLEASE HELP WITH THIS. WILL GIVE BRAINLEIST FOR AN ACTUAL ANSWER
Determine the distance from (-5,-6) to (3,1).
HELP PLSS I WILL GIVE BRAINLYEST
I SUCK AT MATH
Answer:
W=11
Step-by-step explanation:
Just trust me with this one :3
Find z such that 3.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places.)
Answer:
z = 1.77.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X, which is also the area of the normal curve to the left of Z. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Find z such that 3.8% of the standard normal curve lies to the left of z
Thus, z with a z-score of 0.038. Looking at the z-table, this is z = 1.77.
determine the value of a in the figure shown
Answer:
d
Step-by-step explanation:
180-149= 31.
31+ 122= 153
180-153= 27
a= 27
Derive the equation of the parabola with a focus at (0, 1) and a directrix of y = -1.
Answer:
The equation of the parabola is y = x²/4
Step-by-step explanation:
The given focus of the parabola = (0, 1)
The directrix of the parabola is y = -1
A form of the equation of a parabola is presented as follows;
(x - h)² = 4·p·(y - k)
We note that the equation of the directrix is y = k - p
The focus = (h, k + p)
Therefore, by comparison, we have;
k + p = 1...(1)
k - p = -1...(2)
h = 0...(3)
Adding equation (1) to equation (2) gives;
On the left hand side of the addition, we have;
k + p + (k - p) = k + k + p - p = 2·k
On the right hand side of the addition, we have;
1 + -1 = 0
Equating both sides, gives;
2·k = 0
∴ k = 0/2 = 0
From equation (1)
k + p = 0 + 1 = 1
∴ p = 1
Plugging in the values of the variables, 'h', 'k', and 'p' into the equation of the parabola, (x - h)² = 4·p·(y - k), gives;
(x - 0)² = 4 × 1 × (y - 0)
∴ x² = 4·y
The general form of the equation of the parabola, y = a·x² + b·x + c, is therefore;
y = x²/4.
which statement is true?
Answer:
A. The slope of Function A is greater than the slope of Function B.
Step-by-step explanation:
The slope of a function can be defined as rise/run. In Function A, the rise/run is 4. The slope in Function B is much easier to see: it is 2. Because 4 is greater than 2, Function A has a greater slope than Function B.
what's the easiest way to answer how I know the answer pls?
HELP‼️⚠️‼️⚠️‼️⚠️‼️⚠️‼️
Which polynomial is prime?
O 3x^3+3x^2-2x-2
O 3x^3-2x^2+3x-4
O 4x^3+2x^2+6x+3
O 4x^3+4x^2-3x-3
Answer:
There is either No Answer or
B See if the computer or your maker will take B, but the real answer is that there is no answer.
Step-by-step explanation:
Prime polynomials cannot be factored.
x^2 + 4 can't be factored.
x^2 - 4 can be factored and is not prime
x^2 - 4 = (x + 2)(x - 2)
A) is not prime
3x^2(x + 1) - 2(x + 1) x + 1 is a common factor
(3x^2 - 2)(x + 1)
B) Not sure. I'll look at the rest. It has a common divisor (x - 1) which turns the result into 0. I don't think you've likely taken this yet, but the answer is (x - 1)(3x^2 + x + 1), so although this one is not prime, it is not done the same way as the other three. It likely is the answer, but I sure would be tempted to report it to your instructor.
C) 3x^2(x + 1) - 2(x + 1) x + 1 is a common factor. C is not the answer.
D D is done the same way that A and C are done.
4x^2(x + 1) - 3(x + 1) and x + 1 is a common factor.
So the answer might be B. It doesn't look like it factors the same way as the other three
Answer: D. 2x4+x3–x+2 is prime
Step-by-step explanation:
A prime polynomial is a polynomial that can't be factored. Hope I helped
Is 0.01011011101111011111 rational or irrational?
Answer:
It is rational number.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Hope it is helpful....The denominator of a fraction is twice the numerator. If 3 is added to the numerator and 3 is subtracted from the denominator, the new fraction is 7/5. Find the original fraction.
Answer:
4/8
Step-by-step explanation:
d = 2n
n+3 = 7
d-3 = 5
substitute '2n' for 'd' in d-3=5
2n-3 = 5
2n = 8
n = 4
d = 2(4)
4/8
What is the volume of a rectangular prism
8 inches long, 3 inches wide, and 5 inches high?
A
120 cubic inches
B
220 cubic inches
16 cubic inches
158 cubic inches
Answer:
A; 120 cubic inches
Step-by-step explanation:
Let us start with the formula of the volume of a rectangular prism,[tex]V=l*w*h[/tex], where l represents the length of the prism, w represents the width of the prism, and h represents the height of the prism. It is given to us that h =5 inches, w =3 inches, and l =8 inches. Let's plug the values in:
[tex]V= 8*3*5\\V=120[/tex]
A. The volume of the rectangular prism is 120 cubic inches.
I hope this helps! Let me know if you have any questions :)
Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.
Answer:
jk
Step-by-step explanation:
15 POINTS! PLEASE HELP! BRAINLIEST!
What is the probability of flipping a coin 15 times and getting heads 6 times? Round your answer to the nearest tenth of a percent. O A. 19.6% O B. 9.2% O C. 4.2% O D. 15.3% SUBMIT
Answer:
D. 15.3%Step-by-step explanation:
Total number of outcomes:
2¹⁵ = 32768Number of combinations of getting 6 heads:
15C6 = 15!/6!(15-6)! = 5005Required probability is:
P(6 heads out of 15 flips) = 5005/32768 = 0.1527... ≈ 15.3%Correct choice is D
Answer:
option D
Step-by-step explanation:
Total sample space
= [tex]2^{15}[/tex]
Number of ways 6 heads can emerge in 15 flips
= [tex]15C_6[/tex]
Probability:
[tex]=\frac{15C_6}{2^{15}}[/tex] [tex]= 0.1527[/tex]
Probability to the nearest percent : 15.3%
Deborah finds that the theoretical probability of flipping "heads" on a fair coin was 50%. After she flipped the fair coin 100 times, she calculated that she flipped "heads" 45 times. What is the percent difference in theoretical and experimental probability?
Answer:
I have the same doubt so pls answer
Step-by-step explanation:
Which drink has more sugar per fluid ounce? 50 POINTS
x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0
Answer:
kKKjKKIjJJIIIiIIIIIiI
Step-by-step explanation:
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it took thandile 30minutes to fly the distance of 192,4kilometers between pilanesburg nationalpark an johannesburg.calculate the average speed of the aircraft in kilometres per hour
Answer:
Average speed = 3848 km / h
Step-by-step explanation:
Given:
It took Thandile 30 minutes to fly the distance of 1924 km between Pilanesburg National Park and Johannesburg.
To find:
Calculate the average speed.
Solution:
Average speed = distance / time
30 min = 0.5 h => 1924 / 0.5
= 3848 km / hours
Answer:
Average speed = 3848 km / h
hope this helps.....
PLEASE HELP ME FAST I WILL GIVE BRAINLYEST
7.)
cbrt(1200)
10.63
8.)
sqrt(112)
10.58
Answer:
1.) because 10^3=1000 and 11^3 = around 1330 we know that the answer must fall between 10 and 11. Because they're pretty much equal distance I would estimate it to be around 10.5 (if you need an exact answer it's 2∛150)
2.) because 11^2=121 and 10^2= 100 we know that it must fall between 10 and 11. Because these are pretty much equal distance as well I would estimate it to be around 10.5 as well (if you need an exact answer it's 4√7)
Step-by-step explanation:
if you had to report on the salaries for different occupations, do you think it would be better to report the mean or the median value
Match the vocabulary word to its correct definition
1. arithmetic sequence
an individual quantity or number in
a sequence
the fixed amount added on to get
2. common difference
to the next term in an arithmetic
sequence
a sequence in which a fixed
3. sequence
amount is added on to get the next term
a set of numbers that follow a
4 term
pattern, with a specific first number
Answer:
1. Term.
2. Common difference.
3. Arithmetic sequence.
4. Sequence.
Step-by-step explanation:
1. Term: an individual quantity or number in a sequence. For example, 1, 2, 3, 5, 6. The first term is 1 while 5 is the fourth term.
2. Common difference: the fixed amount added on to get to the next term in an arithmetic sequence. For example, 2, 4, 6, 8 have a common difference of 2 i.e (6 - 4 = 2).
3. Arithmetic sequence: a sequence in which a fixed amount such as two (2) is added on to get the next term. For example, 0, 2, 4, 6, 8, 10, 12.... is an arithmetic sequence.
4. Sequence: a set of numbers that follow a pattern, with a specific first number. For example, 1, 2, 3, 4, 5, 6 is a sequence.
The rectangular ground floor of a building has a perimeter of 780 ft. The length is 200 ft more than the width. Find the length and the width.
The length is ___ and the width is ___
Answer:
perimeter of the rectangular ground floor
=2(length+width)
length=X+200
width=X
=2(X+200+X)
=4x+400
4x+400 =780
4x =780-400
4x =380
x =95
width=95 feet
length=95+200
=295 feet
I don’t know the answer help! ?
Answer:
m∠8=120°
Step-by-step explanation:
Given that lines L and M are parallel to each other, keep in mind that ∠1 and ∠8 are opposite exterior angles, so they will be congruent to each other. Therefore, m∠8=120°.
a + b = 300 pls help i cant find out the answer
Answer:
a= 250
b= 50
250 + 50 = 300
Step-by-step explanation:
There's many solutions but this was the first one I could come up with.
Answer:
my opinion is seince a+b=300 then the sqaure of 300= 17.3?
Step-by-step explanation:
In 2015, Tamya spent 100 hours reading. In 2016, she has only read 9.5 hours. How many more hours does she have to read in order to also read 100 hours in 2016?
Answer:
90.5 hours or 90 hours and 30 minutes
Step-by-step explanation:
100-9.5=90.5
HELP PLEASE!!! HELP HELP
Answer:
f(-3) = -1/3
Step-by-step explanation:
-3 is less than -2 so we use the first function 1/x
f(-3) = 1/-3
Answer:
-1/3
Step-by-step explanation:
-3 is less than -2, so use the first one, 1/x and substitute -3 in
1/(-3)=-1/3
What is the difference between a bar chart and a histogram?
Answer:
In simple terms, a bar chart is used in summarizing categorical data, where a histogram uses a bar of different heights, it is similar to the bar chart in many terms but the histogram groups the numbers into the ranges while representing the data.
bar chart is a graph in the form of boxes of different heights, with each box representing a different value or category of data, and the heights representing frequencies.
but,
Histogram is graphical display of numerical data in the form of upright bars, with the area of each bar representing frequency.
Chris was given 1/3 of the 84 cookies in the cookie jar. He ate 3/4 of the cookies that he was given. How many cookies did Chris eat?
Answer:
21 cookies
Step-by-step explanation:
First we know that Chris was given a third of 84 cookies so we can start working on this problem by figuring out what a third of 84 is. We can do this by multiplying 84 by 1/3 or just dividing by 3, which gives us: 84/3 = 28
So now we know that Chris was given 28 cookies, we can figure out what 3/4 of that is to work out how many cookies he ate. 28 x (3/4) = 21 cookies.
Chris ate 21 cookies.
Hope this helped!
Answer:
21 cookies
Step-by-step explanation:
1/3 × 84 = 28
3/4 × 28 = 21
The nth term of a sequence is 5n.
Work out the 10th term of this sequence.
Answer:
The 10th term is 50
Step-by-step explanation:
5(10) = 50
The following set of data represents the ages of the women who won the Academy Award for Best Actress from 1980 - 2003:
31 74 33 49 38 61 21 41 26 80 42 29
33 35 45 49 39 34 26 25 33 35 35 28
Make frequency table using # of classes as per the following criteria:
i) if you are born in Jan, Feb, Mar: No of classes = 5
ii) if you are born in Apr, May, Jun: No of classes = 6
Answer:
Step-by-step explanation:
Given the data :
Using 6 classes :
Class interval ____ Frequency
21 - 30 _________ 6
31 - 40 _________ 10
41 - 50 _________ 5
51 - 60 _________ 0
61 - 70 _________ 1
71 - 80 _________ 2
