Changing the confidence level from 95% to 90% will make the necessary sample size decrease if the margin of error stays the same.
How to complete the blank?From the question, we understand that the confidence level decreases from 95% to 90%
When the confidence level decreases, the sample size increases because the standard error increases
Hence, the statement that completes the blank is decrease
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The area of the garden was 2 2/5yd2. if the lrngth is 1 1/2 yd, find the width
Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1? 3, –6, 12, –24, 48, … f (n 1) = –3 f(n ) f (n 1) = 3 f(n ) f (n 1) = –2 f(n ) f (n 1) = 2 f(n)
The recursive formula will be equal to f(n + 1) = –2 f(n).
The complete question is given below:-
Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?
3, –6, 12, –24, 48, …
f (n + 1) = –3 f(n )
f (n + 1) = 3 f(n )
f (n + 1) = –2 f(n )
f (n + 1) = 2 f(n)
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The recursive formula for this sequence is calculated as we will put the different values of n to find the values of the function in the series.
n = 1
f(n) = 3
n = 2
f(2) = -2 (3) = -6
n = 3
f(3) = -2 (-6) = 12 and so on
Therefore the recursive formula will be equal to f(n + 1) = –2 f(n).
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There are 5 dessert courses in a restaurant. They will be presented two at a time in an order. How many different arrangements are there?
Answer:
3 I think.
Step-by-step explanation:
5 would be broken up to 2 groups of 2 and 1 group of 1.
In 20 different ways 5 dessert courses can be arranged taken 2 at a time.
What are permutation and combination?A permutation is an arrangement of things where order matters, AB and BA are two different permutations.
The combination is a selection of things where order does not matter, AB and BA are the same combinations.
Given, There are 5 dessert courses in a restaurant and they will be presented two at a time in an order.
Here we have to use permutation as order matters.
Now, the permutation of 5 different things taken 2 at a time is,
= [tex]^5P_2[/tex].
= 5!/(5 - 2)!.
= 5!/3!.
= 5 × 4.
= 20 different ways.
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is this correct ,please check
Choices B, C, and D are correct. Nice work.
Further explanation:
Choice A is ruled out because we aren't multiplying 5 by 6Choice B is correct because 4*5 is the same as 5*4. Similarly, 3(2+6) is the same as 3(6+2). We can add in any order, and multiply in any order. See the commutative property for more details.Choice C is correct for similar reasoning as choice BThe distributive property allows us to go from 3(2+6) to 3*2+3*6, showing that choice D is the same as B and C.You can confirm each answer by using a calculator. The result of simplifying the original expression is 44. You should find that expressions B, C and D also result in 44. Only choice A is the one that doesn't fit in since it results in 56.You are building a brick patio. the length of the patio is (x+11) feet.
the total area of the patio can be represented by x^2+14x+33. write an expression for the width of the patio
The expression that represents the width of the patio is (x+3) feet
Calculating areaFrom the question, we are to determine the width of the patio
The area of the patio = Length of the patio × Width of the patio
From the given information,
Length of the patio = (x+11) feet
Area of the patio = x^2+14x+33 = x²+14x+33
Putting the parameters into the formula,
x²+14x+33 = (x+11) × Width of the patio
∴ Width of the patio = (x²+14x+33) / (x+11)
First, we will factor x²+14x+33
x²+14x+33
x²+11x+3x+33
x(x+11) +3(x+11)
(x+3)(x+11)
Thus,
Width of the patio = [(x+3)(x+11)] / (x+11)
∴ Width of the patio = (x+3) feet
Hence, the expression that represents the width of the patio is (x+3) feet
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xavier has a golf score of -7 and curtis has a golf score of -12 who has the higher score
Answer:
xavier
Step-by-step explanation:
in a number line full of negative and positive the farther down left you go the lower it get. the farther down right you go the higher it get. this is the same in the negative section even though you may think because 12 is a bigger number then seven in the negatives that rule is flipped. Hopes this helps?
Grandma baked 969696 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received ccc fewer cookies than she would have received had all of the cookies been evenly divided among the 888 grandchildren.
How many cookies did Cindy receive?
Cindy gets (12-c) amount while others get 12 cookies.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
From the question, we are informed that Grandma baked 96 cookies
And there are 8 grandchildren available
To calculate the number of cookies each of them gets we have,
= 96 /8
= 12 cookies
This means each gets 12 cookies
But Cindy received fewer cookies with less C amount.
Therefore Cindy gets (12-c) amount while others get 12 cookies.
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LABEL THE CIRCLE BY FILLING THE BOXES WITH THE APPROPRIATE PARTS OF THW CIRCLE.
The 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.
What is a circle?
It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)
The radius is the double the diameter.
The longest chord in the circle is diameter.
The angle formed at the centre is known as centeral angle.
Thus, the 1- diameter, 2-inscribed angle, 3-chord, 4-minor arc, 5-central angle, 6-radius, and 7-centre.
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Use the following scenario to answer the question below:
You are deciding between two cars with different engines and want the bigger of the two. One engine displaces 350 cubic inches. The other displaces 5,500 cubic centimeters. How many significant figures do the values in this problem involve?
A. 4
B. 1
C. 3
D. 2
The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.
We need the answer in cubic centimeters. So let's convert 350 cubic inches to cubic centimeters. We will do it unit conversion way (the long way).
We will write cubic inches as three inches side-by-side
350 in^3
What is the ratio of the centimeter?This way, we can multiply this by the ratio of centimeters to inches [2.54 cm = 1 inch], so that the units cancel and we have cubic centimeters (what we desire).
350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in
So, we can cancel the three inches top and bottom thus we have the answer in centimeters cubed. And the value is
350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in.
350 in^3*3.54cm/1in*3.54cm/1in*3.54cm/1in=5735.47.
So 350 cubic inches is approximately 5735.5 cubic centimeters (rounded to 1 decimal place).
This is larger than a 5500 cubic centimeters engine.
5735.5-5500=235.5cubic centimeters.
The bigger engine is about 235.5 cubic centimeters larger than the smaller engine.
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How many solutions exist for each system of equations?
x + 2y = –1
2x + 3y = 0
Answer:
2 solutions x = 3 y = -2.
Step-by-step explanation:
x + 2y = –1
2x + 3y = 0
Multiply first equation by -2:
-2x - 4y = 2 Adding this to second equation:
- y = 2
y = -2.
Plug this into first equation:
x - 4 = -1
x = 3.
Help!! Which of the following is equivalent to 3 6
— = —— ?
X X-4
Answer:
3rd Option - 3(x-4) = 6x
Step-by-step explanation:
To remove the fractions we escalate them up to the other side. So to remove the x under 3 we do the following :
[tex]\frac{3}{x} = \frac{6}{x-4}[/tex] -----> [tex]{3}= \frac{6x}{x-4}[/tex] (As you can see the x now goes to the numerator of the right side)
Now to remove x-4 under 6x we do the following :
[tex]{3}= \frac{6x}{x-4}[/tex] ------> [tex]3(x-4)= {6x[/tex]
Therefore giving our answer as the 3rd option.
Hope this helped and have a good day
How many real solutions exist for this system of equations? y = x^2 + 4 y = 4x
Answer:
This system of equations has one real solution, (2, 8).
Step-by-step explanation:
Given:
y = x² + 4
y = 4x
1. Substitute the given value of y into y = x² + 4:
⇒ 4x = x² + 4
2. Solve for x (by factoring):
⇒ 4x = x² + 4
⇒ 0 = x² - 4x + 4
⇒ 0 = (x - 2)² [perfect square rule: a² -2ab + b² = (a - b)²]
⇒ 0 = (x - 2)² [take the square root of both sides]
⇒ [tex]\sqrt{0} = \sqrt{(x - 2)^2}[/tex]
⇒ 0 = x - 2 [add 2 to both sides]
⇒ 0 + 2 = x - 2 + 2
⇒ 2 = x
3. Find the value of y by substituting the given value of x into y = 4x:
⇒ y = 4(2)
⇒ y = 8
4. Check your work:
⇒ y = x² + 4 and ⇒ y = 4x
⇒ 8 = 2² + 4 and ⇒ 8 = 4(2)
⇒ 8 = 4 + 4 and ⇒ 8 = 8 ✔
⇒ 8 = 8 ✔
Solution: (x, y) ⇒ (2, 8)
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On saturdays, elliott practises the piano, walks his dog, does his homework, and cleans his room. use an organized list to show all the possible orders in which elliott can do these tasks.
The possible orders in which Elliott can do these tasks is 24
What is Permutation ?
Permutation is defined as the number of ways r number of objects can be arranged in total n number of objects.
P(n,r) = n! / (n-r)!
As Elliot have 4 tasks to do practices the piano (A), walks his dog(B), does his homework(C), and cleans his room(D)
4 Task can be done in 4! ways = 4 * 3 * 2 * 1 = 24 ways
ABCD ABDC
ACBD ACDB
ADBC ADCB
This is for when Elliot does piano first (A)and then walks his dog(B), does his homework(C), and cleans his room(D) .
Similarly for other 3 works , total 24 possible orders can be followed.
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Find the height of the trapezoid.
Answer:
height = 7
Step-by-step explanation:
[tex]2\cdot\frac{42}{8.7 + 3.3} = 7[/tex]
A triangular brace has an angle measure of 30 degrees, with a side opposite
this angle measuring 8 inches. The base of the triangular brace, which is
adjacent to the given angle measure, is 11 inches in length. Which of the
following statements is correct?
A. There is not a solution for the angle opposite the side measuring
11 inches.
B. The angle opposite the side measuring 11 inches has one solution
of approximately 43 degrees.
C. The angle opposite the side measuring 11 inches has one solution
of approximately 62 degrees.
D. The angle opposite the side measuring 11 inches, has two
solutions of approximately 43 degrees and 137 degrees.
The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.
What is Sine rule?The sine rule of trigonometry helps us to equate the side of the triangles to the angles of the triangles. It is given by the formula,
[tex]\dfrac{Sin\ A}{\alpha} =\dfrac{Sin\ A}{\beta} =\dfrac{Sin\ A}{\gamma}[/tex]
where Sin A is the angle and α is the length of the side of the triangle opposite to angle A,
Sin B is the angle and β is the length of the side of the triangle opposite to angle B,
Sin C is the angle and γ is the length of the side of the triangle opposite to angle C.
Using the sine rule, the measurement of the angle of opposite the side measuring 11 inches can be done. Therefore, the measure can be written as,
8/ Sin(30°) = 11/ Sin(θ)
Sin(θ) = [11 × Sin(30°)]/8
Sin(θ) = 0.6875
θ = Sin⁻¹ (0.6875)
θ = 43.4325° ≈ 43°
Hence, The angle opposite the side measuring 11 inches has one solution of approximately 43°. Thus, the correct option is B.
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Write the equation of a line that goes through point (0, −8) and has a slope of 0.
Answer: y = -8
Step-by-step explanation:
Lines that have a slope of Zero means that the line is horizontal and y is always the same. So your equation is y = -8
Answer:
y = - 8
Step-by-step explanation:
A line with a slope of 0 is a horizontal line parallel to the x- axis with equation
y = c ( c is the value of the y- coordinates the line passes through )
the line passes through (0, - 8 ) with y- coordinate - 8 , then
y = - 8 ← equation of line
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Create a comparative box plot for the morning and afternoon dogs, and label each with its five-number summary.
Sara's dogs:
Morning:
39, 21, 12, 27, 23, 19, 19, 31, 36, 25
Afternoon:
15, 51, 8, 16, 43, 34, 27, 11, 8, 39
Answer:
see attached
Step-by-step explanation:
Morning:
12, 19, 19, 21, 23, 25, 27, 31, 36, 39
Min value: 12
Lower quartile (Q1): 19
Median (Q2): 24
Upper Quartile (Q3): 31
Max value: 39
Afternoon:
8, 8, 11, 15, 16, 27, 34, 39, 43, 51
Min value: 8
Lower quartile (Q1): 11
Median (Q2): 21.5
Upper Quartile (Q3): 39
Max value: 51
Answer:
7. AM IQR: 12 PM: IQR: 28 8. see below in explanation
Step-by-step explanation:
7. 31-19=12
39-11= 28
You subtract Q1 from Q3 to get the IQR.
8. I believe the morning group of dogs would be easier to walk as one group because the group has a closer range of weights (12-39) compared to the afternoon group of (8-51). Walking a large group of dogs with similar weights would be easier than walking a group of very small and very large dogs at the same time because their pace of walking would be so different.
Calculate the perimeter of this shape.
Can someone help me with this graph please
Pls show full work thank you so much:)))
Answer x= 30
M angle A = 85
M angle C = 45
Reason - see picture for the math
What does 0 = 0 mean regarding the solution to the system?
There are no solutions to the system because the equations represent parallel lines.
There are no solutions to the system because the equations represent the same line.
There are infinitely many solutions to the system because the equations represent parallel lines.
There are infinitely many solutions to the system because the equations represent the same line.
Answer:
There are infinitely many solutions to the system because the equations represent the same line
in the figure above m is parallel to the line n the measure of angle one is 40 degrees what is the measure of angle 2
Step-by-step explanation:
angle 2+40=180
angle 2=180-40
angle 2=140
the answer Is 140 degree
Here is a diagram of a black circle inside a white square and a diagram of a small grey square inside a white square.
The two white squares are the same size.
AB = 8x.
The sides of the square are tangents to the circle at the points E, F, G and H.
W, X, Y and Z are the midpoints of AB, BC, CD and DA respectively.
Work out the ratio of the area of the black circle to the area of the white square to the area of the grey square. Give your answer in its simplest form.
Hi, I don't understand this. Can someone please explain? It's 50 points.
The ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2
How to determine the ratio of the areas?The side length AB is given as:
AB = 8x
The area of the white square is calculated as
White = (AB)²
This gives
White = (8x)²
Evaluate
White = 64x²
The side length AB represents the diameter of the black circle.
So, the radius is:
r =AB/2
This gives
r = 8x/2 = 4x
The area is then calculated as:
Circle = πr²
This gives
Circle = π(4x)²
Evaluate
Circle = 16πx²
Next, calculate AW and AZ using:
AZ = AW = AB/2
Evaluate
AZ = AW = 8x/2 = 4x
Calculate WZ using the following Pythagoras theorem
WZ² = AW² + AZ²
This gives
WZ² = (4x)² + (4x)²
Evaluate
WZ² = 2(4x)²
Take the square root of both sides
WZ = 4x√2
The area of the gray square is:
Gray = WZ²
This gives
Gray = 2(4x)²
Evaluate
Gray = 32x²
At this point, the areas are:
White = 64x²Circle = 16πx²Gray = 32x²The ratio is then represented as:
Ratio = Circle : White : Gray
This gives
Ratio = 16πx² : 64x² : 32x²
Divide through by 16x²
Ratio = π : 4 : 2
Hence, the ratio of the area of the black circle to the area of the white square to the area of the gray square is π : 4 : 2
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Given a line with slope = −6and passing through (−5,−9) , which of the following is the correct point-slope equation of the line? y−9=−6(x−5
The equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)
Equation of a lineThe equation of a line in pint slope form is expressed as:
y - y1 = m(x-x1)
where
m is the slope = -6
(x1, y1) is the point = (-5, -9 )
Substitute into the formula
y - (-9) = -6(x -(-5))
y +9 = -6(x+5)
Hence the equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)
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Donna is making a cookie recipe that calls for 1 ¾ cups of sugar. However, when she goes to take out the measuring cups she can only find the one-half cup measuring cup. How many one-half cups will she need to fill to get the correct amount of sugar for her cookie recipe?
Group of answer choices
3 1/2
7
2 1/4
3
Answer:
D. 3
Step-by-step explanation:
A(n) _________ is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.
A correlation is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.
What is correlation?A correlation can be defined as the relationship that exists between two variables when one of them is related to the other in some way.
It is also a measure that expresses the extent to which two variables are closely or linearly related which entails that they change together at a constant time.
Hence, correlation is a statistical relationship between two variables, such that knowing one of the variables makes it possible to predict the other.
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39. The table shows the average U.S. crude oil imports in thousands of barrels per day.
(8 points total)
Determine the correlations coefficient, r, for a linear, exponential, and
quadratic model. Round to the 3 decimals places
Year
1930
Linear:
Exponential:
1940
1950
Quadratic:
1960
1970
1980
1990
Based on the correlation coefficient, which model is the best?
2000
Imports
170
117
487
1015
1324
5263
5894
9071
Answer:
2000 imports is the best i think
There are 45678 males, 32257 females and 59179 children in a town. Find the total population of the town.
Answer:
137,114
Step-by-step explanation:
First, add 45,678 and 32,257 together, then add 59,179 to it, and you get 137,114.
Ben and greg go to the movies and purchase snacks. Ben purchases four cookies and two bottles of water for a total cost of 9.00. Greg purchases two cookies and two bottles of water for a total cost of 7.00. What is the total cost of a bottle of water?
Answer:
Good style in solving such problems is to notice/(to observe) immediately from the condition that the difference
between two combinations is the cost of 2 cookies, and it is equal to $9 - $7 = $2. So 2 cookies cost $2.
Then subtracting $2 dollars for 2 cookies from the Greg purchase, you got the cost of two bottles - it is equal to $7 - $2 = $5.
Answer. A bottle of water costs $2.50.
Step-by-step explanation:
10 · c − 8 · 95 = (10 − 8) · 95
Answer:
x=95
Step-by-step explanation:
First, we can simplify the equation. 10c-760=190. We can +760 on both sides. 10c=950. We can do 950/10=95.