Answer:
The minimum sample size required to create the specified confidence interval is of 565.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.1 = 0.9[/tex], so Z = 1.28.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Found the standard deviation to be 1.3.
This means that [tex]\sigma = 1.3[/tex]
Error of no more than 0.07. What is the minimum sample size required to create the specified confidence interval?
This is n for which M = 0.07. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.07 = 1.28\frac{1.3}{\sqrt{n}}[/tex]
[tex]0.07\sqrt{n} = 1.28*1.3[/tex]
[tex]\sqrt{n} = \frac{1.28*1.3}{0.07}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.28*1.3}{0.07})^2[/tex]
[tex]n = 565.1[/tex]
Rounding up:
The minimum sample size required to create the specified confidence interval is of 565.
PLEASE HELP ME RIGHT NOW
Find the range and interquartile range of the data.
23,45,39,34,28,41,26,33
The range of the data is
The interquartile range of the data is
Answer:
the answer to the range should be 22 but i do not have the interquartile range :(
Step-by-step explanation:
-136=-8(7-2x) what is the value of x
Answer:
x=-5
Step-by-step explanation:
hope i helped
Find the slope of the line passing through the points (6,6) and (6, -7).
slope: 1
Answer:
The line is a vertical line, which does not have a slope.
Step-by-step explanation:
Slope of a line:
Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.
(6,6) and (6, -7).
Change in y: -7 - 6 = -13
Change in x: 6 - 6 = 0
Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.
Hank spent $635.71 on groceries. Peggy spent $293.96 on groceries. They decide to split the entire grocery bill, which is $929.67. How much does Peggy still owe Hank if they split the grocery bills equally?
Answer:
170.87 or 10.875 is u round it then its 170.88
Can someone please help me? I don’t understand this at all :/
If Candice has 1000 soaps and eats 5 how many apples will he have left?
Answer:
995
Step-by-step explanation:
Because you would have to subtract 5 from 1000 which is 995, hope this helped!
HELP ME PLEASE I NEED TO PASS THIS CLASS
Answer: I could be wrong but it's probably 3.
Step-by-step explanation: Once there's x in the 3 sides of angles you subtract. 73 minus 3 = 3 degrees. If I'm wrong sorry about that. I will try to improve. :)
Answer:
37°
Step-by-step explanation:
70°+73°+x°=180°
143°+x°=180°
x°=180°-143°
x°=37°
1/3x+8=12 what does x equal and show work
Answer: x = 12
Step-by-step explanation:
subtract 8 on both sides (12-8=4)
now we have 1/3x = 4
multiply 3 on both sides (4 x 3 = 12)
now we have x = 12
Megan is going to organize her stamp collection into a 240-page book. She has organized 150 pages. What percent of her pages has she organized?
A- 60%
B- 50%
C- 62.5%
D- 75%
*6th Grade Mathematics*
you have a spinner divided into 5 equal sections each section is number with a number 1 through 5 theoretically what is the probability of spinning and landing on a five
Answer:
20%
Step-by-step explanation:
1/5 = 20/100 = 20%
Answer:
1/5
Step-by-step explanation:
probability- number of favorable outcomes/ number of total outcomes
in this question,
number of favorable outcomes is 1.
and, the number of total outcomes is 5.
so, probability of spinning and landing on 5 is 1/5.
81 people passed and 27 failed their Functional Skills Level 2 exams.
Write this as a ratio in its simplest form.
Answer:
The ratio of approved and disapproved people in its simplest form is 3:1.
Step-by-step explanation:
Since 81 people passed and 27 failed their Functional Skills Level 2 exams, to write this as a ratio in its simplest form, the common greatest divisor of both numbers must be obtained:
27 is divisible by 1, 3, 9 and 27
81 is divisible by 1, 3, 9, 27 and 81
Therefore, the common greatest divisor of both numbers is 27. So, since 27/27 is equal to 1, and 81/27 is equal to 3, the ratio of approved and disapproved people in its simplest form is 3 :1.
The ratio in its simplest form is 1 : 3.
Definition of ratioRatio expresses the relationship between two numbers. It is the frequency with which a number is contained in another number. The sign used to represent ratio is ':'.
Expressing in the simplest formIn order to express the given number of people that passed and failed the exam, we have to divide both numbers by the highest common factor until both numbers cannot be divided further to yield a whole number.
Common factor of 27 and 81 = 1, 3, 9, 27
Highest common factor = 27
Expressing in the simplest form = 1 : 3
To learn more about ratios, please check: https://brainly.com/question/25927869
The zeroes of the function are
-2 and 0
0 and 4
-2, 0, and 4
1. x=-2, x=0
So, the equation in factored form would be x(x+2)=0.
2. x=0, x=4
So, the equation in factored form would be x(x-4)=0.
3. x=-2, x=0, x=4
So, the equation in factored form would be x(x+2)(x-4)=0.
Answer:
-2, 0, and 4
second part is none
third part is B
Step-by-step explanation:
I ended up doing it right now
Pls help extra points
Cuantas horas son de 7am a 5 pm
Answer:
10 hours or diez horas
Step-by-step explanation:
El total de horas entre las 7 am y las 5 pm es de 10 horas (5+5).
(English)
What is a clock?A clock, often known as a timepiece, is a device that measures and displays the passage of time.
The clock works in 12 hours time period, therefore, the time between 7 am and 12 pm is 5 hours, similarly, the time between 12 pm and 5 pm is 5 hours.
Thus, the total hours between 7 am and 5 pm is 10 hours(5+5).
(Spanish)
¿Qué es un reloj?
Un reloj, a menudo conocido como reloj, es un dispositivo que mide y muestra el paso del tiempo.
El reloj funciona en un período de tiempo de 12 horas, por lo tanto, el tiempo entre las 7 am y las 12 pm es de 5 horas, de manera similar, el tiempo entre las 12 pm y las 5 pm es de 5 horas.
Así, el total de horas entre las 7 am y las 5 pm es de 10 horas (5+5).
Learn more about Clock:
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The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these separately. None, Positive, or Negative thanks so much and tell me which one thanks!
1. No correlation
Those things don't really relate to each other.
2. Positive correlation
The more you drive your car, the more you'll have to pay for gas.
3. Negative correlation
More people = less soda.
is .5 a integer? xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Answer:
No
Step-by-step explanation:
Fractions and decimals are not considered integers
Can I please get help with these math problems? Thanks !
Answer:
1= 240. 2= 1800
girl I suck at this but basically I just multiplied the base and the width then i multiplied the height bye the product of the base and width!
Please Dont Get Mad If Its Wrong.
1/2 ÷1/5
create a story problem
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
5 /2
Decimal Form:
2.5
Mixed Number Form:
2 1/ 2
Answer:
There is half of a pie left. Bob need to share it with four friends how big are the pieces compared to the pie.
ANSWER:
1
__
10
Step-by-step explanation:
Let f(x) = x + 2 and g(x) = x + 4.
Find f(g(f(2)).
Brainliest 15 points
Answer:
10
Step-by-step explanation:
Let's find f(2) first.
f(2) = 2 + 2 = 4
This means it would be f(g(4)).
Then let's find g(4).
g(4) = 4 + 4 = 8
Then, this means f(8).
f(8) = 8 + 2 = 10
AB= Round your answer to the nearest hundredth. 3 3 65 B
Answer:
AB = 7.10
Step-by-step explanation:
Reference angle = 65°
Hypotenuse = AB = ?
Adjacent side length = BC = 3
Apply the trigonometric ratio CAH, to find AB.
Cos 65 = Adj/Hyp
Cos 65 = 3/AB
AB*Cos 65 = 3
AB = 3/Cos 65
AB = 7.09860475
AB = 7.10 (nearest hundredth)
An object changes speed from 10 m/s to 18 m/s in the course of 4 seconds. What is its acceleration? HURRY PLEASE IM TAKING A TEST ASAP 50 points and brainliest
Answer:
2
Step-by-step explanation:
Velocity/Time, or 8/4 equals 2.
Hope this helps!
Which shows the expressions rewritten with the least common denominator?
7x-2
and
x-1
8x
28X-8
and
2x² - 2x
16x?
16x?
14x - 4
and
2x-2
8x?
8x?
28x2-8x 2x3 - 2x²
and
16x
16x?
14x - 4
and
8x2
8x?
Answer:
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Answer:
This question is missing a denominator!
it is 7x-2/4x^2 and x-1/8x
I do not know the answer though....I came here looking for help!!
Step-by-step explanation:
what is the possessive form of harmonica
Answer:
harmonica’s
Step-by-step explanation:
because it’s talking about multiple and it has apostrophe and an s
ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP ASAP NEED HELP
Answer:
21) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isoceles - Obtuse triangle, 25) Scalene - Right triangle.
Step-by-step explanation:
21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.
22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.
23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.
24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isoceles - Obtuse triangle.
25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.
Need the measurements for 1 2 and 3
Answer:
m, c, and l
Step-by-step explanation:
Write in slope form: y-7=4(x-1)
Answer:
y=4x+3
Step-by-step explanation:
y=mx+b
y-7=4(x-1)
y-7=4x-4
y=4x+7-4
y=4x+3
This week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday. If Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days?
Answer:
Jose will have played the guitar for 9.1 hours during those 6 days.
Step-by-step explanation:
Given that this week Jose played guitar for 3/4 of an hour on Tuesday, an hour and a half on Thursday, and 2.3 hours on Saturday, to determine, if Jose plays guitar for the same amount of time next week, how many hours will he have practiced over these 6 days, the following calculation must be performed:
3/4 = 0.75
1/2 = 0.5
(0.75 + 1.5 + 2.3) x 2 = X
4.55 x 2 = X
9.10 = X
Therefore, Jose will have played the guitar for 9.1 hours during those 6 days.
Ms. Wall will roll two number cubes. What is
the probability that she will roll a sum of 9 ?
Express your answer as a fraction.
(I'll give brainlist if u get it right)
Answer: 9/1
Step-by-step explanation: Apologies for the mistake. Let's calculate the probability again.
To find the probability of rolling a sum of 9 on two number cubes, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes.
For a sum of 9, the following combinations are favorable:
(3, 6), (4, 5), (5, 4), (6, 3)
So, there are 4 favorable outcomes.
The total number of possible outcomes is still 6 × 6 = 36.
The probability of rolling a sum of 9 is:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 36
Simplifying the fraction, we get:
Probability = 1 / 9
Therefore, the probability of rolling a sum of 9 is 1/9, not 11/18 as previously stated.
What is the explicit formula for the arithmetic sequence 4/5, 29/30, 17/15, 13/10?
Answer:
The answer is D,
a(n) = 4/5 + 1/6(n- 1)
just took the test :)
Step-by-step explanation:
The explicit formula for the arithmetic sequence is D, a(n) = 4/5 + 1/6(n- 1)
What is arithmetic sequence?An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.
The explicit formula is given by:
[tex]T_n = a + (n-1)d[/tex]
Where a is the first term (4/5) and d is the common difference (the difference is any 2 terms).
Therefore, to find d:
29/30 - 4/5
29/30 - 24/30
d = 5/30
d = 1/6
Now putting them into the formula:
a(n) = 4/5 + 1/6(n- 1)
The last answer choice is right.
Learn more about arithmetic sequence here:
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which expression is equivalent to the expression given below 2(x-3) + 4x + 3
Answer:
6x-3
youre welcome
6x-3
that is the answer I got it right