Answer:
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
Step-by-step explanation:
We use the central limit theorem to solve this question:
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]
In this question:
[tex]p = 0.46, n = 2000[/tex]
So
Mean: [tex]\mu = p = 0.46[/tex]
Standard deviation: [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{2000}} = 0.01[/tex]
The mean of the sampling distribution is 0.46
The standard deviation of the sampling distribution is 0.01
The mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively
Proportion and standard deviation
The formula for calculating the standard deviation for a sample proportion is given as:
[tex]\sigma =\sqrt{\frac{p(1-p)}{n} }[/tex]
p is the proportionn is the sample sizeNote that p = mean = 0.46
To get the standard deviation:
[tex]\sigma =\sqrt{\frac{0.46(1-0.46)}{2000} }\\\sigma =\sqrt{\frac{0.46(0.54)}{2000} }\\\sigma = 0.01[/tex]
Hence the mean and the standard deviation of the sampling distribution of the sample proportion are 0.46 and 0.01 respectively.
Learn more on sample proportion here https://brainly.com/question/22985943
what are three things in Canada measured in metric system
Answer:
meter,liter and gram metric system
Answer:
The metric system is a system of measurement that uses the meter, liter, and gram as base units of length (distance), capacity (volume), and weight (mass) respectively.
How many phone numbers (without area codes) are possible? The first digit cannot be 0 or 1.
Answer:
Step-by-step explanation:
For the first digit, there are 8 numbers to choose from (2, 3, ..., 9).
For each remaining digits, there are 10 numbers to choose from (0, 1, ..., 9).
Choose 6 of them. Repetition is allowed, and order matters.
There are 10⁶ possible choices.
There are 8×10⁶ possible phone numbers.
One teacher wants to give each student 13/8 slices of pizza. If the
teacher has 22 slices of pizza, then how many students will she be able to
hand out pizza to?
HELP
Answer:
I think it's 18 students
Step-by-step explanation:
I used division. Hope this helps
Science
Which weather data would best indicate that monsoon rains are coming to Arizona on a hot day in August? Choose the three correct answers.
A
wind blowing from the south
B
high air pressure
C
high humidity
D
low air pressure
E
wind blowing from the north
F
low humidity
Answer:
A. wind blowing from the south
D. Low air pressure
C. High humidity
Step-by-step explanation:
High humidity can cause the clouds to shower. When the humidity is reached to 100 percent the rain starts. For the raining system the air pressure should be low. The low air pressure often indicates the thunderstorm. Cloud are ready filled with water and when the air pressure is lowered the rain starts.
I really dont get this question
Can you solve it. Pls pls
Answer:
C
Step-by-step explanation:
Don't know how to explain..
For each of the following propositions, identify simple propositions, express the compound proposition in symbolic form, and determine whether it is true or false: The world is flat or zero is an even integer. If 432,802 is a multiple of 4, then 432,802 is even. 5 is a prime number and 6 is not divisible by 4. 3 ∈ Z and 3 ∈ Q . 2 / 3 ∈ Z and 2 / 3 ∈ Q . The sum of two even integers is even and the sum of two odd integers is odd.
Answer:
a) True
b) True
c) True
d) True
e) False
f) False
Step-by-step explanation:
a) The world is flat or Zero is an even Integer
simple proposition : it is a compound interestexpressing compound proposition in symbolic form : p v q ; where p = world is flat and q = Zero is an integerIt is a true statementB ) If 432,802 is a multiple of 4, then 432,802 is even
simple proposition : It is a compound statement expressing compound proposition in symbolic form : p ⇒ q ; where p = 432,802 is a multiple of 4 and q = 432,802 is evenp q p ⇒ q hence statement is trueF T T
C) 5 is a prime number and 6 is not divisible by 4
simple proposition : it is a compound statementsymbolic form ; p ∧ qwhere p = 5 is a prime number and q = 6 is not divisible by 4
statement is trueD) 3 ∈ Z and 3 ∈ Q
simple proposition : it is a compound statementsymbolic form : p ∧ qwhere p = 3 ∈ Z and q = 3 ∈ Q
statement is trueE) 2 / 3 ∈ Z and 2 / 3 ∈ Q
simple proposition : It is a compound statementsymbolic form : p ∧ qwhere p = 2 / 3 ∈ Z ( false ) and q = 2 / 3 ∈ Q ( true ) hence p ∧ q = false
statement is falseF) The sum of two even integers is even and the sum of two odd integers is odd.
simple proposition : It is a compound statementsymbolic form : p ∧ qwhere p = The sum of two even integers is even and q = the sum of two odd integers is odd.
statement is falseI need help I don't know how to do this, this is for a friend lol.
Answer:
bru tell me why i cant see that
Step-by-step explanation:
Match each simplified form to it's equivalent radical expression. Tiles: 4√3, 3 3√2, 2 3√3, 3√5
Pairs
3√24
√48
3√54
√45
Answer:
Step-by-step explanation:
Given the following simplified expressions:
4√3, 3 3√2, 2 3√3, 3√5
It's radical equivalent is :
4√3 = √4² * √3 = √16 * √3 = √16*3 = √48
3 3√2 = 3 * √3² * √2 = √9 * √2 = √9*2 = 3√18
2 3√3 = 2 * √3² * √3 = √9 * √3 = √9*3 = 2√27
3√5 = √3² * √5 = √9 * √5 = √9*5 = √45
Answer:
answer attached
Step-by-step explanation:
hope this helps!
Which fraction is equal to 35%?
O A.
100
350
O B.
100
35
C.
3.5
100
D.
35
100
Answer: D 35/100
Step-by-step explanation: if you divide 35/100, the answer would be .35, which is the decimal form of 35%.
Today, Thurber studies math for 15 minutes and he studies science for 75 minutes. From now on, Thurber plans to study math for 50 minutes per day and to study science for 30 minutes per day. Will Thurber ever have studied the same total amount of time for both math and science? Explain. Use the drop-down menus to complete the sentence. days from today, Thurber will have studied of math and minutes of science.
Answer:
3 days
Step-by-step explanation:
Given that :
Today :
Study time for math = 15 minutes
Study time for science = 75 minutes
Subsequent days :
Study time for math = 50 minutes
Study time for science = 30 minutes
Let the number of days when study time for math and science will be the same = x
15 + 50x = 75 + 30x
50x - 30x = 75 - 15
20x = 60
x = 60 / 20
x = 3
3 days
The graph of the reciprocal parent function, f(x) = 1, is shifted 5 units up
and 8 units to the left to create the graph of g(x). What function is g(x)?
Answer:
A. 1/(x + 8) + 5.
Step-by-step explanation:
Staring with 1/x a shift up of 5 units makes it 1/x + 5.
A shift of 8 to the left makes it 1/(x + 8) + 5
Norma and Jane go to the store to buy stocking stuffers. Norma spends $8 more than Jane. Total, Norma and Jane spend $52. How much did each girl spend?
Answer:
Norma spent $30
Jane spent $22
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
[tex]y = x +2[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (-3,-1)[/tex]
[tex](x_2,y_2) = (1,3)[/tex]
So, we have:
[tex]m = \frac{3 - (-1)}{1 - (-3)}[/tex]
[tex]m = \frac{3 +1}{1 +3}[/tex]
[tex]m = \frac{4}{4}[/tex]
[tex]m =1[/tex]
The equation in slope intercept form is calculated using
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y = 1(x - (-3)) -1[/tex]
[tex]y = 1(x +3) -1[/tex]
[tex]y = x +3 -1[/tex]
[tex]y = x +2[/tex]
which answer is equivalent to √ 25/√ 49
Exact Form:
5/7
Decimal Form:
0.7142
please help me simplify this -1/9 (9-27a)=?
Answer:
Step-by-step explanation:
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, of planted seeds will germinate. A random sample of seeds is chosen. If these seeds are planted according to the instructions, find the probability that of them germinate.
The question is incomplete. Here is the complete question.
On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 or 5 of them germinate. Do not round your intermiediate computations, and round your answer to three decimal places.
Answer: P(4<X<5) = 0.624
Step-by-step explanation: The probability of a seed germinate is a Binomial Distribution, i.e., a discrete probability distribution of the number of successes in a sequence of n independents experiments.
This distribution can be approximated to normal distribution by determining the values of mean and standard deviation population:
[tex]\mu=np[/tex]
[tex]\sigma=\sqrt{np(1-p)}[/tex]
where
n is the sample quantity
p is proportion of successes
For the spinach seeds:
Mean is
[tex]\mu=9(0.65)[/tex]
[tex]\mu=[/tex] 5.85
Standard deviation is
[tex]\sigma=\sqrt{9.0.65(1-0.65)}[/tex]
[tex]\sigma=[/tex] 1.431
Now, use
[tex]z=\frac{x-\mu}{\sigma}[/tex]
to convert into a standard normal distribution.
The probability we want is between 2 values: P(4<X<5).
Therefore, we have to convert those two values:
For X = 4:
[tex]z=\frac{4-5.85}{1.431}[/tex]
z = -1.29
For X = 5:
[tex]z=\frac{5-5.85}{1.431}[/tex]
z = -0.59
Using z-table:
P(X>4) = 1 - P(z< -1.29) = 0.9015
P(X<5) = P(z< -0.59) = 0.2776
The probability will be
P(4<X<5) = P(X>4) - P(X<5)
P(4<X<5) = 0.9015 - 0.2776
P(4<X<5) = 0.624
The probability of 4 or 5 seeds germinate is 0.624.
|-3/4+1/8|- (2/3+1/6)
Answer:
-5/24
Step-by-step explanation:
-3/4 = -6/8
-6/8 + 1/8 = -5/8
|-5/8| = 5/8
2/3 = 4/6
4/6 + 1/6 = 5/6
5/8 - 5/6 = 15/24 - 20/24
15/24 + (-20/24) = -5/24
f(n)=n^2-4;find (-1)
Answer:
-5
Step-by-step explanation:
f(-1) = -1^2 - 4
f(-1) = -1 - 4
f(-1) = -5
12 POINTS PLEASE HELP
Answer:
y = 10
m<C = 40
m<D = 76
Step-by-step explanation:
(7y + 6) + 4y = 116
11y + 6 = 116
y = 10
plug in y into the equations to get the angle
m<C = 40
m<D = 76
HELP HELP HELP HELP PLEASE PLEASE !!!!!
Answer:
Correct answer would be 84/12=7
Step-by-step explanation:
Reason being , Its asking the "product" Of Julies score (7)
If you divide 84 /7 it will be =12
since its already giving you what its equal you would flip it and it would be 84/12
Please help!!! 10 points for it!!
Answer:
Step-by-step explanation:
x = 180 - ((180-96)+(180-130))
x = 180 - (84+50)
x = 46°
Answer:
x = 46 degrees
Step-by-step explanation:
180 - 130 = 50
180 - 96 = 84
50 + 84 = 134
180 - 134 = 46
f(x)=-x^(2)-2x-5 , -5
Step-by-step explanation:
Needs more detail unable to answer
Which ratio is equivalent to 1 : 8
Answer: 2:16
Step-by-step explanation:
Answer:
2 : 16
Step-by-step explanation:
1 : 8 2 : 16 3 : 24 4 : 32 5 : 40
6 : 48 7 : 56 8 : 64 9 : 72 10 : 80
11 : 88 12 : 96 13 : 104 14 : 112 15 : 120
16 : 128 17 : 136 18 : 144 19 : 152 20 : 160
21 : 168 22 : 176 23 : 184 24 : 192 25 : 200
26 : 208 27 : 216 28 : 224 29 : 232 30 : 240
31 : 248 32 : 256 33 : 264 34 : 272 35 : 280
36 : 288 37 : 296 38 : 304 39 : 312 40 : 320
41 : 328 42 : 336 43 : 344 44 : 352 45 : 360
46 : 368 47 : 376 48 : 384 49 : 392 50 : 400
51 : 408 52 : 416 53 : 424 54 : 432 55 : 440
56 : 448 57 : 456 58 : 464 59 : 472 60 : 480
61 : 488 62 : 496 63 : 504 64 : 512 65 : 520
66 : 528 67 : 536 68 : 544 69 : 552 70 : 560
71 : 568 72 : 576 73 : 584 74 : 592 75 : 600
76 : 608 77 : 616 78 : 624 79 : 632 80 : 640
81 : 648 82 : 656 83 : 664 84 : 672 85 : 680
86 : 688 87 : 696 88 : 704 89 : 712 90 : 720
91 : 728 92 : 736 93 : 744 94 : 752 95 : 760
96 : 768 97 : 776 98 : 784 99 : 792 100 : 800
CAN SOMEONE HELP WALLAHI THIS IS SO HARDDDDDD
Answer:
3[tex]\sqrt{5}[/tex]
Jason used 0.5 cups or kernels to make 16 cups of popcorn. How many cups of popcorn would he make if he used 0.75 cups of kernels?
Please explain answer
Answer:
24 cups of popcorn
Step-by-step explanation:
Let x represent the number of cups of popcorn that can be made from 0.75 cups of kernels. We know that 0.5 cups of kernels is used to make 16 cups of popcorn. Therefore, to calculate the number of cups of popcorn that can be made from 0.75 cups of kernels we use the equation:
x / 0.75 cups of kernels = 16 cups of popcorn / 0.5 cups of kernels
multiplying through by 0.75 cups of kernels gives:
(x / 0.75 cups of kernels) * 0.75 cups of kernels = (16 cups of popcorn / 0.5 cups of popcorn) * 0.75 cups of kernels
x = 24 cups of popcorn
it takes 4 workers 21 hours to landscape a park how many hours does it take 3 workers?
Giovanni started a new job and decided to open a bank account with $10. Each week he will deposit $8 from his pay to the account. Which of the following recursive formulas can be used to model the total amount of money in Giovanni's account?
Answer:
an=an−1+10, where a1=8
Step-by-step explanation:
it is
Answer:
an=an−1+10 , where a1=8
Step-by-step explanation:
I just took the test and I got it right!! :)
PLEASE HELP
I WILL GIVE BRAINLIST
Answer:
64
Step-by-step explanation:
cut triangle on right then on left you have 4x4 and then for right you have 2x2 then multiply them together and get 64
Solve the system of equations, y = x – 3 and y = –2x + 6, using the substitution method.
(no answer choices)
Answer:
x=9
Step-by-step explanation:
-2x+6=x-3
-1x+6=-3
-1x=-9
divide both sides by -1
x=9
hope this helps
Answer:
(3, 0)Step-by-step explanation:
Given system:
y = x – 3 and y = –2x + 6Substitute y and solve for x:
x - 3 = -2x + 6x + 2x = 6 + 33x = 9x = 3Find y:
y = x - 3 = 3 - 3 = 0Solution is:
(3, 0)