======================================================
Explanation:
At 99% confidence, the z critical value is roughly z = 2.576 which is found using a Z table.
We're given that [tex]\hat{p} = 0.5[/tex] as the sample proportion and E = 0.05 is the desired error.
The min sample size n is:
[tex]n = \hat{p}*(1-\hat{p})\left(\frac{z}{E}\right)^2\\\\n \approx 0.5*(1-0.5)\left(\frac{2.576}{0.05}\right)^2\\\\n \approx 663.5776\\\\n \approx 664\\\\[/tex]
Always round up to the nearest integer.
Unfortunately n = 664 isn't one of the answer choices. The next closest value is 700. It appears that your teacher wants to know a valid sample size that is the smallest of the answer choices, not necessarily the smallest ever possible.
A figure is made up of a triangle and a rectangle. The triangle has a height of 8.5 inches and a base of 10 inches. The rectangle has dimensions of 9 inches×10 inches. What is the area of the figure?
Group of answer choices
132.5 in²
133.5
131.5
130.5
[tex]\sf are a \ of \ triangle : \frac{1}{2}*base *height[/tex]
[tex]\sf are a \ of \ rectangle : Length * Width[/tex]
total area :
[tex]\sf are a \ of \ rectangle + area \ of \ triangle[/tex]
[tex]\rightarrow \sf 9 * 10 + \frac{1}{2} *8.5*10[/tex]
[tex]\rightarrow \sf 132.5 \ in^2[/tex]
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate. the table below shows the information about the two credit cards brandon currently uses. card a card b amount $1,463.82 $1,157.98 apr 13% 17% monthly payment $24.60 $22.14 after 8 years, how much will brandon have saved in interest by consolidating the two balances? a. $581.76 b. $194.40 c. $256.32 d. $325.44 please select the best answer from the choices provided. a b c d
The amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
What is monthly payment?Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.
It can be calculated with the following formula.
[tex]M=P\left (\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]
Here, (P) is the principal amount, (r) is the interest rate and (t) is time.
Brandon has two credit cards and would like to consolidate the two balances into one balance on the card with the lower interest rate.
The table below shows the information about the two credit cards Brandon currently uses.
Cards Amount APR Monthly PaymentCard a $1,463.82 13% $24.60Card b $1,157.98 17% $22.14
Interest rate for the card a is,
[tex]r=\dfrac{13}{12\times100}=0.01083[/tex]
The time period is 8 years and there are 12 months in one year. Thus, the monthly payment of card A will be,
[tex]M=1157.98\left (\dfrac{0.01083}{1-(1+0.01083)^{-12(8)}}\right)\\M=19.47[/tex]
In the 8 years, there is total 96 monthly payments. Thus, the total payment by card A is,
[tex]P_a=19.47\times96=1869.12[/tex]
For the card B the monthly payment is $22.14. Thus the total payment by card B is,
[tex]P_b=22.14\times96=2125.44[/tex]
The difference in the payment is,
[tex]d=2125.44-1869.12\\d=256.12[/tex]
Hence, the amount which Brandon have saved in interest by consolidating the two balances on the card with the lower interest rate is $256.12.
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Answer:
C. 256.32
Step-by-step explanation:
Solve the equation and enter the value of x below.
6x + 3 = 27
X=
Answer:
x=4
Step-by-step explanation:
6x+3 = 27
Subtract 3 from each side
6x+3-3=27-3
6x = 24
Divide each side by 6
6x/6 = 24/6
x = 4
Answer:
x=4
Step-by-step explanation:
6x+3=27
6x=24
x=4
A triangle has an angle that measures 90°. The other two angles are in a ratio of 2:7. What are the measures of those two angles?
Answer:
70° and 20°
let the other 2 angles be 7x and 2x
90+7x+2x=180
9x=180-90
x=90/9
x=10
7x=7x10
70
2x=2×10
2p
center and the radius please!
64, –48, 36, –27, ... which formula can be used to describe the sequence? f(x 1) = three-fourthsf(x) f(x 1) = negative three-fourthsf(x) f(x) = three-fourthsf(x 1) f(x) = negative three-fourthsf(x 1)
The formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
The relation formula can be used to describe such sequence are,
[tex]f(x+1)=r\times f(x)[/tex]
Here, r is the common ratio.
The given sequence is,
[tex]64, -48, 36, -27, ...[/tex]
In the above sequence, the next term has opposite sign to its previous term. The common ratio between the two terms is,
[tex]r=\dfrac{-48}{64}=-\dfrac{3}{4}\\r=\dfrac{36}{-48}=-\dfrac{3}{4}\\r=\dfrac{-27}{36}=-\dfrac{3}{4}[/tex]
The common ratio of the sequence is -3/4. Put this value in the above formula as,
[tex]f(x+1)=-\dfrac{3}{4}\times f(x)[/tex]
Hence, the formula which can be used to describe the sequence of provided series is f(x+1) =-(3/4) × f(x).
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Answer:
B
Step-by-step explanation:
edge
Which set of ordered pairs does not represent a function?
O {(8,-4), (-5,6), (-5,7), (-3,-5)}
O{(-1,0), (1,0), (3,-2), (2, -9)}
O {(3,-7), (-2, -9), (9,3), (7, - 7)}
O {(8, –9), (-3,9), (-9,2), (-2,0)}
keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.
Which is the algebraic representative for a rotation 180 degrees clockwise?
Answer:
algebraic expression for 180 degree clockwise rotation about the origin (x,y) → (-y, x) algebraic expression for 270 degree clockwise rotation about the origin equals a 270 degree counterclockwise rotation 90 degree clockwise rotation equals a 90 degree counterclockwise rotation
Step-by-step explanation:
hope this helps
have an awesome day -TJ
Which equation could john solve to find w, the greatest width in centimeters he can use for the mosaic? w(w – 2) = 48 w(w 2) = 48 2w(w – 2) = 48 2w(w 2) = 48
The equation solved by the John to find w, the greatest width in centimeters he can use for the mosaic, is w(w + 2) = 48.
How to find the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The area of the tile is 48 square cm. John wants to make the mosaic with this tile having the length 2 cm longer than the width.
Let the width of the rectangle mosaic is w cm. Thus, the length of it is,
[tex]l=w+2[/tex]
As the area of a rectangle is the product of its length and width and Tte area of the tile is 48 square cm. Thus,
[tex]A=l\times w\\48=(w + 2)\times w \\48=w(w+2)\\w(w+2)=48[/tex]
The equation which John solve to find w, the greatest width in centimeters he can use for the mosaic is
[tex]w(w+2)=48[/tex]
Learn more about the area of rectangle here;
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Answer:
B. w(w + 2) = 48
Step-by-step explanation:
I just took the quiz.
Have the day you deserve :)
you buy a fancy 5 year eco light bulb for $9.79. How much does this light bulb cost you per year
Assessment started: undefined. Item 1 What is the mean of this data set? {6, 11, 5, 2, 7} Enter your answer as a decimal in the box
The mean of the data set, 6, 11, 5, 2, 7, is: 6.2.
What is the Mean of a Data Set?The mean of a data set is the average of the data points or the sum of all the data points divided by the total number of data points in the data set.
Given the data set, 6, 11, 5, 2, 7:
Mean = (6 + 11 + 5 + 2 + 7)/5
Mean = 31/5
Mean = 6.2
Therefore, the mean of the data set, 6, 11, 5, 2, 7, is: 6.2.
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Answer:
6.2
Step-by-step explanation:
Three basketball teams measured the height of each player on their team. The table shows the mean and the mean absolute deviation of the heights for each team.
Which statements are correct?
Select each correct answer.
The heights of the Warriors’ players vary more than do the Panthers’ heights.
The heights of the Buffaloes’ players and those of the Panthers vary about the same amount.
The heights of the Panthers’ players and those of the Warriors vary about the same amount.
The heights of the Buffaloes’ players vary more than do the Warriors’ heights.
Team Mean height (cm) MAD (cm)
Buffaloes 163 7.9
Panthers 179 8.1
Warriors 178 5.8
Answer:
1 and 3
Step-by-step explanation:
Answer:
The heights of the buffaloes’ players vary more than do the warriors’ heights.
The heights of the buffaloes’ players and those of the panthers vary about the same.
Step-by-step explanation:
credit to km1329 in a comment
A pound of clementines costs $2.49 and ms. wild buys 1.8 pounds. how much did she spend?
Answer:
i believe she spent $4.482 on clementines
Do u guys have apps for solving geometry/ triangle problems????
This is the best I could find
Some recommended apps for solving geometry and triangle problems are "Ge oGebra," "De smos Geometry," and "Ma thway."
Ge oGebra: Ge oGebra is a versatile mathematics app that covers various topics, including geometry and triangles. It provides interactive tools for constructing and analyzing geometric shapes, making it a valuable resource for visualizing and understanding different properties and theorems related to triangles.
De smos Geometry: While De smos is primarily known for its graphing capabilities, the De smos Geometry app also offers tools for creating and manipulating geometric shapes, including triangles. It can help users explore and solve various triangle-related problems.
M athway: M athway is a comprehensive math problem-solving app that covers a wide range of topics, including geometry and triangles. Users can input specific problems, and the app provides step-by-step solutions, making it a helpful tool for both learning and verifying answers to geometry and triangle problems.
To know more about geometry, click here.
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#SPJ2
------------The given question is incomplete, the complete question is:
"What are some recommended apps for solving geometry and triangle problems?"-------------
If the measure of angle 4 is 70 degrees, what is the measure of angle 1?
Answer:
angle 1= 110 degrees
Step-by-step explanation:
A line = 180 degrees
Since angle 1 and 4 make a line then both of them have to equal 180 degrees.
So, you would just subtract 180-70(angle 4)= 110 which gives you angle 1.
You could do the same with angle 4 and 3, angle 3 and 2, and angle 2 and 1 since they all form a line.
12% of what number is 96? Enter your answer in the box.
Answer:
800
Step-by-step explanation:
96/12=8
8 x 100= 800
Answer:
Your answer is 800
Step-by-step explanation:
The leading brand of cosmetics in the US had about 20% of the total sales in the industry. The total sales were $ 200,000. What was the leading brands sales? Show your work.
Answer: $40000
Step-by-step explanation:
200000(0.2) = $40000
A plane contains 9
distinct horizontal lines and
9
distinct vertical lines. These lines divide the
plane into separate regions. How many of these
separate regions have a finite, nonzero area?
A finite, nonzero area formed by the lines would have a fixed measurement
The number of separate region that have a finite, nonzero area is 64
How to determine the number of separate regions?The given parameters are:
Horizontal lines, h = 9Vertical lines, v = 9The number (n) of separate region that have a finite, nonzero area is calculated as:
n = (h - 1) * (v - 1)
This gives
n = (9 - 1) * (9 - 1)
Evaluate the product
n = 64
Hence, the number of separate region that have a finite, nonzero area is 64
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I’ll give you brainiest who ever answer this right
Answer:
y=x+1
Step-by-step explanation:
at each x you move up by 1
Solve the equation:
4x-x=600
Answer:
x=200
Step-by-step explanation:
4x-x=600
3x=600
divide by 3
x=200
to check your work:
4(200)-200=600
800-200=600
I need help with this one plis quickly !!!
Answer:
3
Step-by-step explanation:
Hard to see but pretty sure thats it
In the diagram below,EF is parallel to BC. IF BC is the twice length of ED,BD=36 and EF=14, find the length of ED. Figure are not necessary drawn to scale. State your answer in simplest ratio form if necessary.
Answer: sqrt(182)
Step-by-step explanation:
solve pls brainliest
Answer:
2n+22
Step-by-step explanation:
22 more than twice a number
n represents the number.
twice a number --> 2n
22 more than --> +22
2n+22
Hey there!
Guide:
• Difference means subtract/subtraction
• Product means multiply/multiplication
• Quotient means divide/division
• Sum means add/addition
• “more than”, “greater than” or “increased by” either means add/addition or >
• “less than, “smaller than”, or “decreased by” either means subtract/subtraction or <
• “unknown number” is a number we’re NOT so sure yet so we label them as variables. A variable is any letter from A to Z.
ANYWAYS, LETS ANSWER the QUESTION
“22 more than 2 twice a number”
• Since, your instructions say that “n” will be the unknown number, we should label the unknown number as that!
“22 MORE THAN twice a NUMBER”
This could be simply written as:
“22 > 2n” or even “2n + 22”
But we will just say that’s [2n + 22] would mostly fit this scenario
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Triangle ABC is graphed. (image included)
1) Transform triangle ABC using the rule (x,y) → (-x,y)
2) Describe the transformation precisely.
Answer:
see attachedthe figure is reflected in the y-axisStep-by-step explanation:
1.The given transformation moves each point horizontally to the same distance on the other side of the y-axis. This is shown in the attachment.
__
2.The given rule ...
(x, y) → (-x, y)
is the most precise description of the transformation. In English, it can be described as a reflection in the y-axis.
What the answer rate you 5 star
Answer:
This is a net
Step-by-step explanation:
Good Luck!!
40% of 400- how to solve please (thanks
Step-by-step explanation:
What is 40% of 400?
Convert the problem to an equation using the percentage formula: P% * X = YP is 40%, X is 400, so the equation is 40% * 400 = YConvert 40% to a decimal by removing the percent sign and dividing by 100:40/100 = 0.4Substitute 0.10 for 10% in the equation: 40% * 400 = Y becomes 0.4 * 400 = YDo the math: 0.4 * 400 = 160Y = 160So 10% of 150 is 160Double check your answer with the original question: What is 40% of 400? Multiply 0.4 * 400 = 160You pay 3. 5% annual simple interest for 12 years on a loan and you pay $1512 in interest. How much is the principal
Answer:
P = $1,064.79
Step-by-step explanation:
the equation we will use is P = A / (1 + rt), where P=principle, A=amount payed, r=rate(interest), and t=time. first convert the rate into a decimal (0.035) and then plug in the numbers into the equation P = 1512 / ( 1 + (0.035 × 12)) = 1064.79
Davion wants to buy 4 tickets to a basketball game. He sees that there is a discount for $25 o his
entire purchase at checkout, so the tickets would cost him $215 before tax,What was the original
price of each ticket?
Answer:
$60 per ticket
Step-by-step explanation:
$215 is what it costs after the discount, so add the amount taken off, back on.
215+25
240
Then, divide by 4 to find the cost of each individual ticket.
240/4
60
If coal is mined at $35.99 per short ton, how much is the price per kg? Use dimensional analysis to solve. 1 short ton = 907 kg. Round to the thousandths place and include units in your answer.
The cost of 1kg of coal mined from the ore is $0.0397
Data;
1 ton = $35.991kg = ?The Cost of 1kg of CoalTo find the cost of 1kg of coal, we can simply and equate 1 ton to its equivalent in ton and the solve.
[tex]1ton = 907kg\\[/tex]
let's write this and equate it
1 ton = $35.99
907kg = $35.99
1kg = x
Let's cross multiply both sides and solve for x
[tex]907kg = \$35.99\\1kg = x\\x = \frac{1 * 35.99}{907} \\x = \$0.0397[/tex]
The cost of 1kg of coal is $0.0397
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HELP PLEASE
30 POINTS + BRAINLYEST!!!!!
(no links please)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use pi = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Cone:
radius r = 4 inches
height h = 18 inches
volume = πr²h/3 = (3.14)(4²)(18)/3 ≈ 301.44 cm³
Cylinder:
r = 4 inches
h = 3 inches
volume = πr²h = (3.14)(4²)(3) = 904.32 cm³
Volume of cylinder is three times the volume of cone