Answer:
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
Step-by-step explanation:
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
3% of books borrowed from a library in a year are downloaded.
This means that [tex]p = 0.03[/tex]
SRS of 75 books.
This means that [tex]n = 75[/tex]
What are the mean and standard deviation of the sampling distribution of the proportion of downloaded books
By the Central Limit Theorem
Mean: [tex]\mu = p = 0.03[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.03*0.97}{75}} = 0.0197[/tex]
The mean of the sampling distribution of the proportion of downloaded books is 0.03 and the standard deviation is 0.0197.
А
D
B В
С
If mZABD = 65° and m2DBC = 60°,
then m ABC = [? ]°
Enter
please help I will give you brainliest
Answer:
angle abc=125°
.......................
Answer:
125
Step-by-step explanation:
Using the angle addition postulate,
Parts of an Angle add up to form a new angle with the measure of that angle is the sum of the two separate angles.
Add ABD and DBC
[tex]65 + 60 = 125[/tex]
ABC=125
Write -5 1/2
as a decimal number.
Please someone i need it in 2 minutes please
Answer:
Step-by-step explanation:
if you draw the situation you get a right triangle with
hypothenuse Edelton Walton and the Park City as the vertex of the right angle
Michael went 38+25= 63 miles
Landon went the length of the hypothenuse so use Pythagorean theorem
√38²+25² ≅45.49miles
Michael went 63-45.5 ≅17.5 further
15 is 9 more than j I need an equation
Answer: j = 6
Step-by-step explanation:
the answer is six because the question says 15 is 9 more which is simple subtraction so u do 15-9=6.
Answer:
you have 15 cats but your neighbor had 9 more than you but your mom has J cats. How many cats do you all have together
Step-by-step explanation:
Adult Great Basin rattlesnakes have a mean length of 32.3 inches and a standard deviation of 5.3 inches; the length of adult Southern Pacific rattlesnakes is also 32.3 inches on average, but with a standard deviation of 7.95 inches. Both species have lengths that follow a normal distribution. You select a random sample of 36 Great Basin rattlesnakes and 100 Southern Pacific rattlesnakes. Which is more likely be shorter than 29.65 inches
Using the normal distribution and the central limit theorem, it is found that the sample of 36 Great Basin rattlesnakes is more likely to be shorter than 29.65 inches.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For the Sample of 36 Great Basin rattlesnakes:
The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 5.3[/tex].Sample of 36, hence [tex]n = 36, s = \frac{5.3}{\sqrt{36}} = 0.88[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{29.65 - 32.3}{0.88}[/tex]
[tex]Z = -3.01[/tex]
For the Sample of 100 Southern Pacific rattlesnakes:
The mean is [tex]\mu = 32.3[/tex].The standard deviation is [tex]\sigma = 7.95[/tex].Sample of 100, hence [tex]n = 100, s = \frac{7.95}{\sqrt{100}} = 0.795[/tex]We are interested in the percentile of 29.65 inches, hence [tex]X = 29.65[/tex].Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{29.65 - 32.2}{0.795}[/tex]
[tex]Z = -3.33[/tex]
Due to the higher z-score, the random sample of 36 Great Basin rattlesnakes is at a higher percentile, hence it is more likely to be shorter than 29.65 inches,
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
What is the answer to the following equation:
1 + 1 = x
Answer:
1 + 1 = x
X = 2.
don't delete my answer this time.
again.. if you are so smart why didn't you solve it yourself.
I know how you'll take revenge.
by deleting. my answer ? you can do that if you want.
cause ill still get the point tho. LOL.
Simplify the inequalities and match them with the graphs that represent them. 7x < 42 3x >15 2x > 12 X + 1 < 8 T G DEL ਨੂੰ ਜਨ : ' ! 2 ! ! T } ts reserved
Answer:
14 times pie = 69
Step-by-step explanation:
¡Ayuda, por favor!
La fórmula de Lorentz para la contracción en la teoría de la relatividad relaciona la longitud L de un objeto, que se mueve a una velocidad de V con respecto a un observador, con su longitud L0 en reposo. Si c es la velocidad de la luz. entonces:
L²=L0 ² (1- V²/C²)
¿Para qué velocidades L será menor que 1/2 L0? Exprese su respuesta en términos de c.
Answer:
I don't understand.............
WILL GIVE BRAINLIEST TO BEST ANSWERED
Answer:
B
Step-by-step explanation:
Hope this helps
Answer:
It would be B
Step-by-step explanation:
Hope this helps
4) -3x - 2y = -17
9x + 2y = 23
A) (1,7)
B) (10,7)
C) (5, 7) D) (-7, 7)
Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7
Will give brainliest
Gor is running a bakery he has made a street sign to direct people to his bakery
A 645
B 300
C 585
D 390
Answer:
C pls can i get brainlist
Step-by-step explanation:
What is the value of x in the equation -2 = 5x + 3
Answer:
-1
Step-by-step explanation:
5. Which scenario matches the inequality?
3x < 12
Answer: B
Step-by-step explanation:
what is the value of (3.9*0.27)+/0.6724
Answer:
1.7254
Step-by-step explanation:
(3.9)(0.27)+0.6724
= 1.053+0.6724
= 1.7254
hope I helped!!
Sydney is 8 years less than twice Steven’s age what is the algebraic expression.
Answer:
2s - 8
Step-by-step explanation:
sydney is 8 years LESS than TWICE stevens age.
let’s turn stevens age into a variable... s. the variable will be s. so sydney’s age is 8 years less than TWICE stevens age. so lets start with the twice stevens age..
since there is an easy way to make that part of the equation, let’s just put it as 2s. then we have to take sydney’s age as 8 years less than twice stevens. so that would be - 8. so if you add those 2 parts together, you get the equation 2s - 8.
So overall the proper equation will be 2s - 8.
Please help will do anything thank you
Answer:
Step-by-step explanation:
a). Stock price arranged as arithmetic sequence will be,
5, 8, 11, 14
b). Since, explicit formula of an arithmetic sequence is given by,
[tex]a_n=a+(n-1)d[/tex]
Here, [tex]T_n[/tex] = nth term of the sequence
a = first term
n = number of term
d = common difference
From the table attached,
First term of the sequence 'a' = 5
Common difference 'd' = 8 - 5 = 3
Therefore, explicit formula for the given sequence will be,
[tex]a_n=5+3(n-1)[/tex]
[tex]a_n=2+3n[/tex]
c). Slope intercept form of the equation will be,
y = 3x + 2
d). Input out values for the graph of the given equation,
x 0 1 2 3
y 2 5 8 11
By using this data we can graph the line.
What is the y-intercept of the linear function?
y=5/2x-4
How much longer is a 1-inch button than a 3/8 inch button? Thxs
Answer:
5/8 an inch
im pretty sure
if im wrong im SO SORRY
Answer: 1 inch would be 5/8 inch longer than 3/8 inch.
Step-by-step explanation:
1 inch button is 58 times longer than 38 inch buttons.
5/8 inches...simple.
Step-by-step explanation:
(Brainliest plz?)
what is a - 2b = -10 for b
Answer:
b=5
Step-by-step explanation:
Well, lets first divide by -2 on both sides. -10 divided by -2 is gonna be 5. So, b=5
If two triangles are similar what is true regrading the sides of the two triangles
Answer:
A triangle has 3 sides so if it has to add up all the sides it will be 6 and if u r mine-sing it will be 3 so i think the answer is 3
Step-by-step explanation:
and that is my answer to the problem se ya
Find the area of the shape shown below.
3.5
2
2.
units?
9514 1404 393
Answer:
26.75 square units
Step-by-step explanation:
Above the dashed horizontal line(s) is a triangle with base 9 and height 3.5. Its area is ...
A = (1/2)bh
A = (1/2)(9)(3.5) = 15.75 . . . . square units
__
Below the dashed horizontal line(s) is a trapezoid with bases 9 and 2, and height 2. Its area is ...
A = (1/2)(b1 +b2)h
A = (1/2)(9 +2)(2) = 11 . . . . square units
The sum of these areas is the area of the shape:
total area = 15.75 +11 = 26.75 . . . . square units
Will mark brainliest!
(please don't just copy your answer from another one. The other one available is wrong, so if you were to copy it, it would be a waste.)
How are rational exponents and radicals related? Summarize how to rewrite a rational power as a radical term using an example of your own.
Answer:
Hi
Step-by-step explanation:
Rational exponent are exponents written in the form of a fraction.
A rational power can be rewritten as a radical in the following way: the bottom of the rational exponent is the root, while the top of the rational exponent is the new exponent on the radical.
Example: X^(1/2)= √X
Bradley and Louie are roommates at college.
Bradley and Louie will share all the expenses for the apartment equally.
They pay a total of $1,213.50 for rent every month. They also pay $60 each month for electricity, $40 each month for water, and $75 for cable/Internet/wifi. How much does one person pay in total for one month?
Answer: one person ways 694.25 a month
Step-by-step explanation:
Pls help I’ll brainlest perid
Answer:
z= -300 ! brainliest pls? :))
Step-by-step explanation:
Answer:
Z= -300
Step-by-step explanation:
Write the equation of a parabola in vertex form,
f(x) = a(x – h)2 +k, with vertex (-1, 8) and
passing through (3,4)
You must show your work to receive full credit
Answer:
Step-by-step explanation:
Vertex-form equation for a vertical parabola with vertex (h,k):
y = a(x-h)²+k
Plug in coordinates of vertex:
y = a(x+1)²+8
plug in (3,4) and solve for a:
4 = a(3+1)²+8
a = -¼
The equation of the parabola is
y = -¼(x+1)²+8
help? please give the right answer it’s urgent:(
Answer:
0.04
Step-by-step explanation:
solve this equation pleaseee
Answer: -26/15
Step-by-step explanation:
8+7 cause f(x) is 8
What is the correct answer?
I believe the answer is 6, because you can add 6 + 6 to get 13, and I can see that 12 is in the decimal place, along with 30, 3 can be added twice to get 6, and since 30 has 3 in it, and can be added to 6 with 3's, that makes the answer 6.
Which is the complete factored form of 2 x 3 - 10 x2–2x+10?
Answer:
The answer is -2( x + 2)
Step-by-step explanation:
Factor the polynomial.
Hoped this helped!
Brainly, Please?
The complete factorization of the given polynomial is 2(x-5)(x+1)(x-1).
The given polynomial is 2x³-10x²-2x+10.
What are factors of polynomial?The factors are the polynomials which are multiplied to produce the original polynomial.
The factorization of the given polynomial is as follows:
2x³-10x²-2x+10
= 2x²(x-5)-2(x-5)
= (x-5)(2x²-2)
= 2(x-5)(x²-1)
Now, x²-1=(x+1)(x-1) (∵(a²-b²=(a+b)(a-b))
So, 2(x-5)(x+1)(x-1)
Therefore, the complete factorization of the given polynomial is 2(x-5)(x+1)(x-1).
To learn more about the factorization of polynomial visit:
https://brainly.com/question/16789195.
#SPJ6
Sam spins a wheel shown below. What is the probability that it lands on
a number less than 6?*
Answer:
No wheel shown
Step-by-step explanation:
