Answer:
The probability is [tex]P( | \^ p - p| > 0.03) =0.9945[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.05[/tex]
The sample size is n = 408
Generally the standard deviation of the sampling distribution is mathematically represented as
[tex]\sigma = \sqrt{\frac{p (1- p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ 0.05 (1- 0.05)}{408} }[/tex]
=> [tex]\sigma = 0.0108[/tex]
Generally the probability that the sample proportion will differ from the population proportion by greater than 0.03 is mathematically represented as
[tex]P( | \^ p - p| > 0.03) = P( \frac{|\^ p - p | }{\sigma } > \frac{0.03}{0.0108} )[/tex]
[tex]\frac{|\^ p -p |}{\sigma } = |Z| (The \ standardized \ value\ of \ |\^ p -p | )[/tex]
So
[tex]P( | \^ p - p| > 0.03) = P( |Z|> 2.778 )[/tex]
=> [tex]P( | \^ p - p| > 0.03) = P( Z < 2.778) - P(Z < -2.777)[/tex]
From the z table the area under the normal curve to the left corresponding to 2.778 and -2.778 is
[tex]P( Z < 2.778) = 0.99727[/tex]
and
[tex]P( Z < -2.778) = 0.0027347[/tex]
So
[tex]P( | \^ p - p| > 0.03) = 0.99727 - 0.0027347[/tex]
=> [tex]P( | \^ p - p| > 0.03) =0.9945[/tex]
536+248 anweser please
Answer:
784
Step-by-step explanation:
Connor is working two summer jobs, making $8 per hour walking dogs and making $12 per hour landscaping.
What is the value of X
D=X°
F=103°
A. 51.5°
B. 128.5°
C. 77°
D. 38.5°
six Notebooks cost 720 find the cost of 44 note books
Explanation:
720/6 = 120
44 x 120 = 5280
Answer:
$5280
Hope this helps!!!!!
Step-by-step explanation:
Cost of 6 notebooks = 720
Then, cost of 1 notebook = 720/6
Therefore, cost of 44 notebooks = 720/6 x 44
= 120 x 44
= 5,280
Therefore, the cost of 44 notebooks will be 5,280
$300 at 2.5% for 16 months
Answer:
Total: $420 (growth of $120)
Step-by-step explanation:
Multiply $300 by 0.025 (2.5%) which is equal to 7.5. Then multiply that by 16 months which gives you $120 added to your $300.
Which equation has a center at (2, 1) and a point on the circle of (2, -3)?
O (x + 2)2 + (y + 1)2 = 16
O x - 2)2 + (y - 1)2 = 4
O(x - 2)2 + (y - 1)2 = 16
O (x + 2)2 + (y + 1)2 = 4
Answer:
Option 3: [tex](x-2)^2+(y-1)^2 = 16[/tex] is the correct answer
Step-by-step explanation:
We will find the equation of the circle with given information and then compare with the choices given.
Given
Center = (h,k) = (2,1)
And point on circle = (2,-3)
The equation of circle is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
The distance between center and point on circle is the radius. So using the distance formula:
[tex]r = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\r = \sqrt{(2-2)^2+(-3-1)^2}\\r = \sqrt{(0)^2+(-4)^2}\\r = \sqrt{0+16}\\r = \sqrt{16}\\or\\r = 4[/tex]
Putting the values in equation of circle
[tex](x-2)^2+(y-1)^2 = 4^2\\(x-2)^2+(y-1)^2 = 16[/tex]
Hence,
Option 3: [tex](x-2)^2+(y-1)^2 = 16[/tex] is the correct answer
Answer:
c on edge
i got it right
Why is it essential to know how to solve Exponential equations in order to solve Logarithmic equations? (Make sure to fully explain).
Answer:
Because you need it for your later life and for your GCSES and if you dont want to fail then you will need it.
Step-by-step explanation:
Given an exponential equation in which a common base cannot be found, solve for the unknown. Apply the logarithm of both sides of the equation. If one of the terms in the equation has base 10, use the common logarithm. If none of the terms in the equation has base 10, use the natural logarithm.
In a circle with radius 2, an angle measuring pi/3 radians intercepts an arc. Find the
length of the arc in simplest form.
Answer:
2pi/3
Step-by-step explanation:
Using the formula s = r(theta), where s is arc length, r is radius, and theta is the central angle,
s = 2(pi/3)
s = 2pi/3
What is the answer for 4(2p-8)-6p=20+4(p+6)
Hello! :)
[tex]\large\boxed{p = -38}[/tex]
4(2p - 8) - 6p = 20 + 4(p + 6)
Distribute the coefficients outside of the parenthesis:
4(2p) + 4(-8) - 6p = 20 + 4(p) + 4(6)
8p - 32 - 6p = 20 + 4p + 24
Combine like terms:
2p - 32 = 44 + 4p
Subtract 2p from both sides:
-32 = 44 + 2p
Subtract 44 from both sides:
-76 = 2p
Divide both sides by 2:
p = -38.
Answer p = -4
6p + 2(4 + -2p) = 3(p + 4)
6p + (4 * 2 + -2p * 2) = 3(p + 4)
6p + (8 + -4p) = 3(p + 4)
8 + 6p + -4p = 3(p + 4)
8 + 2p = 3(p + 4)
8 + 2p = 3(4 + p)
8 + 2p = (4 * 3 + p * 3)
8 + 2p = (12 + 3p)
8 + 2p = 12 + 3p
8 + 2p + -3p = 12 + 3p + -3p
8 + -1p = 12 + 3p + -3p
8 + -1p = 12 + 0
8 + -1p = 12
8 + -8 + -1p = 12
0 + -1p = 12 + -8
-1p = 12 + -8
-1p = 4
p = -4
Find the distance between the two points in simplest radical form.
(-9,8) and (-3,-1)
Answer:
[tex]d = 3\sqrt{13}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-9, 8)
Point (-3, -1)
Step 2: Find distance d
Substitute: [tex]d = \sqrt{(-3+9)^2+(-1-8)^2}[/tex]Add/Subtract: [tex]d = \sqrt{(6)^2+(-9)^2}[/tex]Evaluate: [tex]d = \sqrt{36+81}[/tex]Add: [tex]d = \sqrt{117}[/tex]Simplify: [tex]d = 3\sqrt{13}[/tex]And we have our final answer!
first to help gets brainliest
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Answer:
HELP me with my last qu3estion
Step-by-step explanation:
what is the value of |4.75|
A square plastic tarp has sides that are 7 meters long. What is the tarps area?
Answer:
49 square meters
Step-by-step explanation:
The formula for finding the area of a surface is [tex]area=length*breadth[/tex] Since the tarp is square, all of its sides have the same lengthSo the length equals the breadthThat means the area is [tex]area=(7meters)*(7meters)=49meters^{2}[/tex]Which of these division problems have the same quotient as 12.3 divided by 0.4? Check all that apply.
1. 123 ÷ 4
2. 1.23 ÷ 0.4
3. 1,230 ÷ 40
4. 123 ÷ 0.04
Answer:
1 and 3
Because if you move the decimal point for one number you also have to move it for the other.
-1.64 as a mixed number
:)
Write the difference of two algebraic expressions modeled by the algebra tiles. Let $x$ be the variable. Then use the algebra tiles to simplify the expression. Two groups of algebra tiles. The second is subtracted from the first. The first group has two positive variables tiles and seven positive unit tiles. The second group has two positive variable tiles and four negative unit tiles.
Answer:
3
Step-by-step explanation:
Who cares? just copy down the answer.
What is the slope and y intercept for 14X - 7Y = 28
Answer:
y = 2x - 4 (the slope is 2 or 2/1 and the y-intercept is -4)
Step-by-step explanation:
Subtract 14x from both sides of the equation.
This should get you -7y = 28 - 14x.
Then you need to divide by -7 on both sides.
y = -4 + 2x is the result
which you can switch around if you like and get y = 2x - 4
Kite LMNO is shown below.
What is the measure of angle M
Answer:
the answer is 78
Step-by-step explanation:
It is the largest one that i can see. The other options are cut off. If you could repost again....
Simplify ratio 10 :200
Answer:
Step-by-step explanation:
10 : 200
Both have table of 10 in common
1 : 20
Which of the ratios below has a unit rate of 50? Select all that apply.
A) 250:5
B) 100:2
C) 75:25
D) 300:6
E) 600:12
So if he reads 147 pages of a book and he has completed 70% of the book how much would be left
Answer:
63 pages
Step-by-step explanation:
147/x=70/100
147=x(70/100)
x = 147/(70/100)
x = 210
210-147=63
Answer:
63 pages
Step-by-step explanation:
147 100
---- * ---- = 210 and then 210-147=63
1 70
Alex bought a new aquarium. He is in the process of setting it up. The aquarium is in the shape of a right rectangular
prism and the dimensions, in inches, are 367 x 19 x 24. During the set-up, Alex fills the aquarium with 6,039
ins of water.
What percent of the volume of the aquarium is filled with water? Round your answer to the nearest whole percent.
Enter your answer in the space provided.
Answer:
4%
Step-by-step explanation:
Formula for volume of a right rectangular prism is;
V = lwh
Where;
l is length
w is width
h is height
We are given l = 367; w = 24; h = 19
Thus;
Volume is;
V_full = 367 × 24 × 19
V_full = 167352 in³
We are told that Alex filled the aquarium with 6039 in³ of water.
Thus, percentage of the aquarium filled with water is;
(6039/167352) × 100% = 3.61%
Approximating to nearest percent gives; 4%
Please help me figure out the answer to this question and the processes well!
Please help ASAP. What is the value of x
Answer: X = 2
Step-by-step explanation:
Why is 210 divided by 30 the same as 21 tens divided by 3 tens
21 tens is equal to 210, and 3 tens is equal to 30.
Reason behind both the situations are the same are the place values of the digits.
What are the place values?According to their position in a number, each digit has a different value in mathematics, which is called place value. From the unit's starting location, these positions begin.
Ones/units, tens, hundreds, thousands, ten thousands, and so on are all ways to describe the place value of a number's digits in sequence from right to left.
Each digit in a number has a place value, which is its worth. Each digit in a number has a unique value depending on where it sits in the number. The value of a digit depends on where it falls in the number; two comparable digits in the same number may have different values.
When 210 is written in the form of place value, this will be written as 21 tens and 30 will be written as 3 tens.
Therefore, the given statement has the same values and is correct.
Learn more about place values from here:
https://brainly.com/question/1677741
#SPJ2
What is the multiples of 46
Answer:
0, 46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552
Step-by-step explanation:
multiples up until 12
Answer:
46,92,138,184,230,276,322,368,414,460
Step-by-step explanation:
The table shows the outputs y, for different inputs ,x
Input x: 3,7,11,15
Output y: 4,6,8,10
Part A: Do the data in this table represent a function? Justify your answer.
Part B: Compare the data in the table with the relation f(x) = 5x-21. Which relation has a greater value when x=11
Part C: Using the relation in part b, what is the value of x if f(x) =99
Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.
Part B: All we have to do is plug in 11 for x in the function given to find the answer:
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.
Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
Whats The RiGhT answer giving brainliest
Answer:
D is correct because its the only graph that displays the first set of data correctly.
There are currently 73 million cars in a certain country, decreasing by 1.7% annually.
How many years will it take for this country to have 54 million cars? Round to the
nearest year.
Answer:
17.6 years
Step-by-step explanation:
There are currently 73 million cars in a certain country, decreasing by 1.7% annually.
How many years will it take for this country to have 54 million cars? Round to the
nearest year.
We use the formula
y = a(1 - r)^t
a = Initial amount = 73 million cars
y = Future amount = 54 million cars
r = decreasing rate = 1.7 % = 0.017
t = time is unknown
54,000,000 = 73,000,000(1 - 0.017)^t
Divide both sides by 73,000,000
54,000,000/73,000,000 = (0.983)^t
0.7397260274 = (0.983)^t
Take the logarithm of both sides
log 0.7397260274 = Log (0.983)^t
log 0.7397260274 =t log (0.983)
t = log 0.7397260274/log 0.983
t = -0.13092910029/-0.00744648216
t = 17.5826783005 years
Approximately = t = 17.6 years