Answer:
The sample proportion is 0.253.
Step-by-step explanation:
We are given that a 90% confidence interval for a proportion is found to be (0.22, 0.28).
Firstly, as we know that the confidence interval for sample proportion is calculated as;
90% confidence interval = Sample proportion [tex]\pm[/tex] Margin of Error
Here, let [tex]\hat p[/tex] = sample proportion
Also, the level of significance = 1 - 0.90 = 0.10 or 10%
And, the critical value of z at 5% (two-sided) level of significance is 1.645.
So, 90% confidence interval = [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
(0.22 , 0.28) = [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
This means;
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex] -------------- [Equation 1]
0.28 = [tex]\hat p + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex] -------------- [Equation 2]
From equation 1 and 2, we get;
[tex]0.22 + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
[tex]1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 -0.22[/tex]
[tex]2 \times 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } =0.06[/tex]
[tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =\frac{0.06}{2 \times 1.645}[/tex]
[tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =0.02[/tex]
Now, squaring both sides, we get;
[tex]{\frac{\hat p(1-\hat p)}{n} } =0.0004[/tex]
[tex]n ={\frac{\hat p(1-\hat p)}{0.0004} }[/tex]
Now, putting value of n in equation 1, we get;
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{\hat p(1-\hat p)}\times 0.0004 }[/tex]
0.22 = [tex]\hat p - 1.645 \times \sqrt{ 0.0004 }[/tex]
0.22 = [tex]\hat p -( 1.645 \times 0.02)[/tex]
0.22 = [tex]\hat p -0.033[/tex]
[tex]\hat p = 0.22 + 0.033[/tex] = 0.253
Therefore, the sample proportion [tex]\hat p[/tex] is 0.253.
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
(3x^2 + 8x + 7) (7x^2)
Answer:
[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]
Step-by-step explanation:
When we multiply the two sides together, we get:
(3x²·7x²) + (8x·7x²) + (7·7x²) =
[tex]21x^{4}+ 56x^{3}+49x^{2}[/tex]
This is the polynomial in standard form.
Celeste needs to create a keyword map that branches out from an image of the solar system. Which image best
shows the keywords that build to make up the solar system?
Sun
Sun
Sun
Mercury
Venus
Moon
Stars
Neptune
es
Earth
Venus
Earth
Uranus
Constellations
The Milky
Way
Mars
Saturn
Mars
Jupiter
Answer:
The Correct Answer Is C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Sage wants to order an ice-cream sundae.
The ice-cream parlor allows customers to
choose from 10 ice-cream flavors, 4 sauces,
and 4 toppings. How many combinations of
ice-cream sundaes could Sage choose from?
Enter the correct answer.
DONE
PLEASE HELP MEE
Three lines meet at a point that is also the endpoint of a ray. In complete sentences, describe the relevant angle relationships in the diagram. Find the value of each variable in the diagram.
Answer:
I'm only going to find the value of each variable
Step-by-step explanation:
V,Z,W,Y=39
X=94
Sorry, I didn't know how to explain the relevant angle relationships. '-' :(
What are all the numbers congruent to #1?
Answer: All angles are congruient to 1
Step-by-step explanation:
So first of all, that shape is a rectangle. All angles of a rectangle are 90 degrees. So all angles are equal.
Answer: it is 90
Step-by-step explanation: so they are all congruent
Which of the following describes how to translate the graph of y = Ixl to obtain the graph of y = lx + 1l - 2?
shift right 1 and down 2
shift left 1 and down 2
shift right 1 and up 2
Answer:
Shift left 1 and down 2
Step-by-step explanation:
Find the area. Will mark brainliest.
Answer:
Area of shaded part of triangle
=(18*12/2)-(10*12/2)
48mm²
How many tenths is 0.4
0.4 has 4 tenths
Look at 0.4 as 0.40
Divide the 40 by 10 and get 4
-Hope this helped!
Answer:
The are 4 tenths in 0.4
Step-by-step explanation:
This is because when looking at a place value table the digit 4 is in the tenths column and so means there are 4 tenths.
To work this out you would look at what place are the tenths and then look at the digit in the corresponding place
PLS HELP question in picture
Answer:
yankee with no brim
Step-by-step explanation:
Chang purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Chang pald.
Answer:
C=5n
Step-by-step explanation:
A linear function
Directly proportional
A box contains cards that are numbered from 1 to 100. What is the probability of randomly selecting a number that is less than 12?
1 / 100
1 /12
11 / 100
12 / 100
Answer:
1/100
Step-by-step explanation:
The box contains 100 cards numbered from 1-100
Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.
Hope it helps!
Answer:
1/100
Step-by-step explanation:
The box contains 100 cards numbered from 1-100
Since there are 100 cards and one of each number, the probability of pulling 12 is 1/100 like any other card.
Hope it helps!
What is the answer to this?
Answer:
50 divided by 8 is 6.25 so unit rate is 6.25 per wands. The first one 4×6.25= 25 so it does not match the same price per wands, the second one 6×6.25=37.50 match up to the same price per wands, the third one 10×6.25=62.50 does not match up to the same price per wands.
Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
plzz mark me brainliest
determine the intercept of the line
Answer:
X intercept is (-8,0), Y intercept is (-6,0)
Step-by-step explanation:
The intercept is where the line crosses the X and Y axis, so in this line, the line crosses the x axis at (-8,0) and the y axis at (-6,0).
Answer:
There are two different intercepts in this linear line. The x - intercept would be at (-8, 0), and the y - intercept would be at (0,-6). To find out which is the x - intercept and which is the y - intercept, remember that x is always horizontal and y is always vertical.
Step-by-step explanation:
Please help!!!
Which representations display nonlinear functions? Check all that apply.
On a coordinate plane, a line with negative slope goes through points (0, 1.5) and (2, 1).
On a coordinate plane, a parabola opens up.
A 2-column table with 4 rows. Column 1 is labeled x with entries 20, 21, 22, 23. Column 2 is labeled y with entries negative 1, negative 1.5, negative 2, negative 2.5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 12, negative 11, negative 10, negative 9. Column 2 is labeled y with entries 7, 11, 14, 17.
Answer: its b and d
Step-by-step explanation: edge 2022
The answer would be options (B) and (D)
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.
On a coordinate plane, a line with a negative slope goes through points (0, 1.5) and (2, 1)
So this is a linear function
On a coordinate plane, a parabola opens up.
Here this is a quadratic function, So this is a non-linear function
Hence, the answer would be options (B) and (D)
Learn more about parabola here:
brainly.com/question/4074088
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Find the value of x and y. WILL MARK BRAINLIEST
Answer:
x = 30
y = 15
Step-by-step explanation:
All the angles are 90°, so set 6y and 3x equal to 90, like so:
6y = 90
Divide both sides by 6:
y = 15
Solving for x:
3x = 90
Divide both sides by 3:
x = 30
Step-by-step explanation:
3) in parallelogram opposite angles are equal
6y=90
y=15
x=30
4)In parallelogram ,parallel sides are equal
x=7
y=4
Find the value of y that makes the equation 2y = 12 – 5x true when x = -2.
A. 1
B. 2
C. 11
D. 22
Answer:
C 11
Step-by-step explanation:
2y = 12 – 5x
Let x = -2
2y = 12 - 5(-2)
2y = 12 +10
2y = 22
Divide by 2
2y/2 = 22/2
y = 11
Answer:
C11 is the correct answer
Step-by-step explanation:
what’s 10% of 120 please answer
Answer: this is the answer ---> 12 :)
Step-by-step explanation:
12
this is the correct answer
Which statement is correct?
The range of the graph is all real numbers less than
or equal to 0.
The domain of the graph is all real numbers less than
or equal to 0.
O The domain and range of the graph are the same.
The range of the graph is all real numbers.
Answer:
The answer is D.
Step-by-step explanation:
You cannot have the range of a number in negative numbers. The range will always be in positive numbers, and the range will never be in a fraction.
The range of the graph is all real numbers.
Each domain and range are the set of all actual numbers. however, due to the fact, absolutely the fee is described as a distance from 0, the output can only be greater than or identical to zero. The domain is all real numbers since the horizontal extent of the graph is the complete real range line.
Why are the range all real numbers?For any actual quantity, you may continually find a price that gives you that wide variety for the output. Except a linear function is a regular, together, there's no restriction at the range. The domain and range are all real numbers.
Learn more about the range here https://brainly.com/question/2264373
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Which point lies on the y-axis
Answer:
the y axis is the vertical line the x axis is the horizontal lineStep-by-step explanation:
the y axis is the vertical line the x axis is the horizontal lineStep-by-step
What is the solution to the system of equations?
7x-2y = -24
5x+ 5y = 15
(2, 5)
(-2,5)
(-2,-5)
(2,5)
Answer:
-2,5
Step-by-step explanation:
what is the length of CD
Answer:
20 yds.
Step-by-step explanation:
From C to E 10 yds. so if you double that you get 20 yds.
Brainliest plz
The expression on the left side of an equation is shown below.
3(x+1)+9=0
If the equation has no solution, which expression can be written in the box on the other side of the equation?
3[x+4)
2[x+8)+x
4(x-3) -
03(x+1)+9x
Answer:
A. 3(x + 4)
Step-by-step explanation:
All we have to do to get the expression on the other side is to expand the bracket on the left and factorise the expression.
The equation given is:
3(x + 1) + 9 = 0
Expanding the left hand side and factorising:
3x + 3 + 9
=> 3x + 12
=> 3(x + 4)
Therefore, the expression that can be written on the other side is 3(x + 4)
Answer:
C
Step-by-step explanation:
just finished it on edge and got a 100 :)
what are two methods you can use to find the area of a square. I WILL GIVE BRAINLIEST I NEED HELP QUICKKKKK
Answer:
To find the area of a rectangle multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area. This is the same as saying length2 or length squared.
Step-by-step explanation:
Answer:
For a rectangle, you get the length and width and multiply them
For a Square, you have to find one side length and mulitply it by itself
or you can split the square with a diagonal into 2 triangles, get the area of each and add them up
or split the square in half and find the area of both rectangles and then add them together
Step-by-step explanation:
For example, if the measure of one side of a square is 5, because all the other lengths are the same, you do 5 times 5 which equals 25 or 5^2 which is 25
What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?
$15,760
$13,760
$13,370
$11,760
Answer:
15,760
Step-by-step explanation:
I just added all of them...
The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
To find the sticker price we just need to add all the extras to the suggested retail price:
suggested retail price $13,760
air conditioner $800
cruise control $235
custom sound system $490
destination charge $475
total sticker price = 13,760 + 800 + 235 + 490 + 475
= 15,760
The total sticker price would be $15,760.
The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.
Learn more about addition;
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The garden has an area of 84 square feet. The length must be 8 feet more than the width. Which of these values is the width of the garden? A.2
B.6
C.10
D.15
E.20
or
F.42
Answer:
answer choice c is correct
whats 9 plus 10 i need a answer soon its really hard
Answer:
19
:) BRAINLIEST
first here
Answer:
the answer is 19
Step-by-step explanation:
9+10=19
hope this helps, have a good day : )
3/10
There is a group of tourists going to a museum. The group
consists of several adults and one child. A ticket for an adult
costs 10 dollars and one for a child costs 5 dollars. If the cost of
all tickets came to a total of $125, how many adults are there in
this group?
adults
Answer:
12 adults
Step-by-step explanation:
If a child ticket costs 5 dollars
then 125-5=120
120 divided by 10(the cost of each ticket for an adult)
12
So there are 12 adults
Answer:
12 adults
Step-by-step explanation:
125 - 5 = 120 (this is subtracting the child from the equation)
120 / 10 = 12
PLZ HELP ASAP BRAINLIEST: Find the value of Y
