a sector with a area of 11 over 2 pi cm squared has a radius of 3 cm
Answer:
Step-by-step explanation:
Step-by-step explanation:
Area of sector = angle/360 * pi * r^2
5.5pi = angle/360 * pi * 9
5.5 = angle/360 * 9
angle = (5.5 * 360)/9 = 40 * 5.5 = 220
express in the form n:1 give n as a fully simplified fraction 6:10
Answer:
n = 3/5
Step-by-step explanation:
We are given the ratio 6 : 10.
We see that we want to get a number n to 1 ratio; n : 1
In order to get one, we must divide 10 by 10, and so we would divide the entire ratio by 10 and simplify:
6/10 : 10/10
3/5 : 1 or 0.6 : 1
If 3x−y=12, what is the value of 8x/2y?
Answer:
17.2
Step-by-step explanation:
3x=12+y
x=12+y/3
[tex]8( \frac{12 + y}{3}) \div 2y[/tex]
[tex] \frac{96 + 8y}{3} \times \frac{1}{2y} [/tex]
[tex] \frac{96 + 8y}{6y} [/tex]
(y is divided by y so it no longer exists)
[tex] \frac{96 + 8}{6} [/tex]
[tex] \frac{104}{6} [/tex]
[tex]17.2[/tex]
The line that passes through the point (2,-8) and
has a slope of -1 is given by the equation y +
J(x-1
Answer:
y = -x - 6
Step-by-step explanation:
I graphed the coordinate point on the graph and found an equation of the line that goes through the point with a slope of -1.
Answer:
y = -x - 6
Step-by-step explanation:
What’s the correct answer for this?
Answer:
C.
Step-by-step explanation:
Lines with equal slopes are parallel since their slopes are equal so they are parallel.
Find if there was a mistake in the students work.
Answer:
b
Step-by-step explanation:
30 POINTS!!!!! URGENT!
Step-by-step explanation:
Average daily balance: Add all balances up and divide by the number of days.
157.63*9+239.98*1+239.98*4+180.38*1+180.38*9+190.57*1+190.57*6 gives us our total of 5756.36, and there were 9+1+4+1+9+1+6=31 days, so 5756.36/31 gives us our average of 185.69, or the fourth option
Daily interest rate: 24.99/365, as a percent, which is the first option
Finance charge: This is the cost of borrowing, and does not seem to be given, so we can take it to be the lowest amount, or the third value
New account balance: Again, this does not seem to be given, but the only option remaining is the second one
Answer:
Average daily balance: Add all balances up and divide by the number of days.
157.63*9+239.98*1+239.98*4+180.38*1+180.38*9+190.57*1+190.57*6 gives us our total of 5756.36, and there were 9+1+4+1+9+1+6=31 days, so 5756.36/31 gives us our average of 185.69, or the fourth option
Daily interest rate: 24.99/365, as a percent, which is the first option
Finance charge: This is the cost of borrowing, and does not seem to be given, so we can take it to be the lowest amount, or the third value
New account balance: Again, this does not seem to be given, but the only option remaining is the second one
m
Step-by-step explanation:
Felicia is buying a Crockpot that retails for $125. She has a coupon for $40 off of any item over $100. Calculate her percent savings if she uses the coupon
Answer:
32%
Step-by-step explanation:
Given
Cost of Crockpot = $125
Coupon = $40
Coupon applies on items greater than $100
Required
Percent saved if coupon is applied.
If she applies coupon on the Crockpot, then she'll be saving $40.
Percent Savings = Amount Saved / Total Amount
Percent Savings = $40/$125
Percent Savings = 0.32
Convert to Percentage
Percent Savings = 0.32 * 100%
Percent Savings = 32%.
Hence, she'd save 32% if she applies the coupon of $40 on the Crockpot
Answer:
percentage savings = 32%
Step-by-step explanation:
She is buying a Crock-pot that retails for $125 . She has a coupon for $40 off any time she bought over $100 item.
Her percentage saving can be calculated below.
The price of the crock-pot is $125 but the amount she bought it base on coupon she has will be $125 - $40 = $85.
The normal price of the crock-pot is $125 and she bought it base on her coupon for $85, then the percentage change is
percentage saving = amount saved/normal price × 100
percentage savings = 40/125 × 100
percentage savings = 4000/125
percentage savings = 32%
The amount you bought the crock-pot was less than the original price hence Felicia saved 32% of the original price.
The CPI for "personal computers and peripheral equipment" in June 2006 was 10.7 (1982-1984 = 100). Interpret this index.
A. There was no significant increase in the price of "personal computers and peripheral equipment"
B. The price of "personal computers and peripheral equipment" increased 10.7%.
C. The price of "personal computers and peripheral equipment" decreased 89.3%.
D. If the average price of a computer in 1982-1984 was $3000.00, the CPI for "personal computers and peripheral equipment" would predict that the price of a computer in June 2006 would be $893.
Answer:
C. The price of "personal computers and peripheral equipment" decreased 89.3%.
Step-by-step explanation:
Consumer Price Index (CPI) measures change in price level, of weighted average market basket of consumer goods & services produced by households.
CPI calculated change in current year price level with regards to base year price level, base year price = 100. CPI > 100 implies that inflation (price rise) has occurred in current year from base year. CPI < 100 implies that deflation (price fall) has occurred in current year from base year.
CPI for 'personal computers & equipment' = 10.7 implies that prices of 'personal computers & equipment' have fallen or deflated. As per base year price = 100, prices have fallen by 100 - 10.7 = 89.3%
Answer:
The answer is "Option B"
Step-by-step explanation:
[tex]CPI = 10.7 \ in \ (\ june, \ 2006) \\\\CPI_{2006}= \frac{\ cost \ of \ basket \ of \ year \ 2006}{\ cost \ of \ basket \ of \ year \ 1982 \ to \ 84} \times 100\\\\\frac{10.7}{100} =\frac{\ cost \ of \ basket \ of \ year \ 2006}{\ cost \ of \ basket \ of \ year \ 1982 \ to \ 84}\\\\[/tex]
The cost of basket [tex]_{1982 \ to 1984} \times 0.107= \ cost \ of \ basket_{2006} \\\\[/tex]
[tex]\ cost \ of \ basket_{1982 \ to 1984} \ is \ given \ as \ 100\\\therefore \ \ cost \ of \ basket_{2006} = 100 \times 0.107\\\\[/tex]
[tex]\ = 10.7\\\\[/tex]
So, the answer is 10.7 % .
Plz help I need this in soon and I don't know the answer
Answer:
.13
Step-by-step explanation:
We need to find the areas of the regions
Area of the shaded region
A =pi r^2
pi (5)^2
25pi
The area of the total region
A = pi r^2
A = pi 14^2
= 196 pi
P(shaded) = shaded/ total
= 25 pi/196 pi
25/196
.12755102
To the nearest hundredth
.13
Answer:
0.13
Step-by-step explanation:
Total area:
Pi × 14²
3.14 × 196
615.44
Shaded area:
3.14 × 5²
78.5
Probability: 78.5/615.44
0.12755102
Two different samples will be taken from the same population of test scores where the population mean and standard deviation are unknown. The first sample will have 25 data values, and the second sample will have 64 data values. A 95% confidence interval will be constructed for each sample to estimate the population mean. Which number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean? The answer is the sample with data values.
Answer:
The sample consisting of 64 data values would give a greater precision.
Step-by-step explanation:
The width of a (1 - α)% confidence interval for population mean μ is:
[tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{n}}[/tex]
So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (n).
That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.
Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.
The two sample sizes are:
n₁ = 25
n₂ = 64
The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.
Width for n = 25:[tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\ [2\cdot z_{\alpha/2}\cdot \sigma][/tex]
Width for n = 64:[tex]\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\ [2\cdot z_{\alpha/2}\cdot \sigma][/tex]
Thus, the sample consisting of 64 data values would give a greater precision.
The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64 and this can be determined by using the formula of width.
Given :
The first sample will have 25 data values.The second sample will have 64 data values. 95% confidence interval.The following steps can be used in order to determine the number of data values would you expect to give a greater precision for estimating the population mean:
Step 1 - The below formula of width is used in order to determine the number of data values.
Step 2 - The formula of width is given below:
[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }[/tex]
where [tex]z_{\alpha /2}[/tex] is the z-score, [tex]\sigma[/tex] is the standard deviation, and 'n' is the sample size.
Step 3 - Now, at n = 25 the formula of 'w' becomes:
[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{25} }[/tex]
[tex]w = \dfrac{1}{5}\left(2\times z_{\alpha /2}\times\sigma }\right)[/tex]
Step 4 - Now, at n = 64 the formula of 'w' becomes:
[tex]w = 2\times z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{64} }[/tex]
[tex]w = \dfrac{1}{8}\left(2\times z_{\alpha /2}\times\sigma }\right)[/tex]
The number of data values would you expect to give a greater precision (a smaller width) for estimating the population mean is 64.
For more information, refer to the link given below:
https://brainly.com/question/12402189
What’s the correct answer for this?
Answer:
As shown in picture, if MC is median of triangle ABC, M is midpoint of AB.
Denote the coordinate of A, B and M are (Ax, Ay), (Bx, By) and (Mx, My) respectively.
The formula relating coordinate of A, B and M is:
Ax + Bx = 2Mx
Ay + By = 2My
In detail,
-1 + Bx = 2 x 4 => -1 + Bx = 8 => Bx = 9
11 + By = 2 x 11 = > 11 + By = 22 => By = 11
=> Option D is correct
Hope this helps!
:)
I dont understand anything, plz help
Bob has been hired by Global Domination Inc. to examine the mass of widgets being produced by two
different factories. The data he gatheredare in the following tables:
Factory 1:
234 234 237 239 245 248 250 256 257 260
262 262 262 266 267 268 274 275 277 279
Factory 2:
146 247 249 250 251 253 253 254 255 257
257 257 258 259 261 266 267 267 269 274
Construct two box-and-whisker plots, one for each factory, and arrange them side-by-side using the
same scale.
which of the following is equivalent to -7/-12?
7/-12
7/12
12/7
Step-by-step explanation:
7/ 12 is equivalent to - 7/-12
Matthew has 3.5 pounds of clay to make ceramic objects.
he needs 1/2 of a pond of clay to make one bowl.
A.how many bowls can Matthew make with his clay
B. Matthew can make two mugs with the same amount of clay he uses to make one ceramic bowl. How much clay does he need to make with all of his clay
Step-by-step explanation:
Step 1: Answer part a
He has 3.5 pounds of clay and each bowl is 0.5 pounds of clay. Therefore, 3.5 / 0.5 will give us the amount of bowls he can make.
3.5 / 0.5
7
Answer: He can make 7 bowls
Step 2: Answer part b
I don't really understand what the questions asking about how much clay does he need to make with all of his clay. If you explain what that means I can answer it.
If you meant how much mugs he is able to make → 14
If you meant how much clay he needs to have for each mug → 0.25
Answer & Explanation:
Part A
It gives us 2 numbers to determined how much bowls he can make.
He need 0.5 of clay to make 1 bowl and he has 3.5 pounds of clay.
[tex]3.5[/tex] ÷ [tex]0.5[/tex]
= [tex]7[/tex]
He can make 7 bowls out of the 3.5 pounds of clay that he has.
Part B
This question is very confusing...
He can make 1 mug with 0.25 pounds of clay.
[tex]3.5[/tex] ÷ [tex]0.25[/tex]
= [tex]14[/tex]
He can make 14 mugs if he uses all of his clay.
hope this helps
give brainliest if you please
Find X such that f(x)=0 for f(x)= -2x^2-x
Answer:
[tex]x=\{-\frac{1}{2} ,\:0\}[/tex]
Step-by-step explanation:
[tex]f(x) =-2x^2 -x\\plug \: f(x) =0\\0= -2x^2 -x\\2x^2 + x = 0\\x(2x+1) = 0\\\therefore x =0 \: or \: 2x+1 = 0\\\therefore x =0 \: or \: 2x = -1\\\\\therefore x =0 \: or \: x = -\frac{1}{2} \\\\x=\{-\frac{1}{2} ,\:0\}[/tex]
Which table represents the statement “A giraffe runs at a rate of 32 miles per hour”? A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 32, 64, 96. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 16, 32, 48. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 8, 16, 24. A 2-column table with 3 rows. Column 1 is labeled hours with entries 1, 2, 3. Column 2 is labeled Distance with entries 32, 33, 34.
Answer:
The answer is A.
Step-by-step explanation:
Answer:
Step-by-step explanation:
A
Which is the equation of a parabola with vertex (0,0) and focus (0,2)?
Answer:
The equation of the parabola is y=(1/8)x^2
[tex]y=\dfrac{1}{8}x^2[/tex]
Step-by-step explanation:
We know the vertex (0,0) and the focus (0,2) of the parabola.
The equation in vertex form is written as:
[tex]y=a(x-h)^2+k\\\\\text{vertex}=(h,k)[/tex]
Then, in this case, we have the equation:
[tex]y=a(x-0)^2+0=ax^2[/tex]
As the focus is (0,2), it is at a distance of 2 units from the vertex (0,0).
For the focus, we have the following equation:
[tex]4p(y-k)=(x-h)^2[/tex]
where p is the distance from the focus to the vertex (in this case, p=2).
h and k are the vertex coordinates, both 0.
So we have:
[tex]4p(y-k)=(x-h)^2\\\\4(2)(y-0)=(x-0)^2\\\\8y=x^2\\\\y=\dfrac{1}{8}x^2[/tex]
What’s the correct answer for this?
Answer:
c) √137
Step-by-step explanation:
Explanation:-
The distance between two points formula
[tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2} -y_{1} )^{2} }[/tex]
Given points are R (3,7) and S(-1,-4)
[tex]RS = \sqrt{(-1- (3 )^{2} + (-4 -7 )^{2} }[/tex]
[tex]RS = \sqrt{(-4 )^{2} + (-11 )^{2} }[/tex]
[tex]RS = \sqrt{16 + 121 }[/tex]
RS = √137
The distance between the two points are RS = √137
Why is this a parallelogram?
Answer:
b both pairs of opposite sides are parallel
Answer:
B or the second choice from the top
Step-by-step explanation:
The definition of a parallelogram, in my own words, is a quadrilateral with two pairs of opposite parallel sides (hence the name). Therefore, the second choice from the top is correct. Hope this helps!
Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Explain why A has n pivot columns and A is row equivalent to In.
A. Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nxn identity matrix, In
B. Suppose A is n x n and the equation Ax = 0 has only the trivial solution. Then there are no free variables in this equation, thus A has n pivot columns. Since A is square and the n pivot positions must be in different rows, the pivots in A must be on the main diagonal. Hence A is the nxn identity matrix, In.
C. Suppose A is n x n and the equation Ax=0 has only the trivial solution. Then there are n free variables in this equation, thus A has n pivot columns. Since A is square and then pivot positions must be in different rows, the pivots in an echelon form of A must be on the main diagonal. Hence A is row equivalent to the nxn identity matrix, In.
Answer:
i think that the answer is like hhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
What is the simplified form of the following expression? Assume x greater-than 0
RootIndex 4 StartRoot StartFraction 3 Over 2 x EndRoot EndFraction
StartFraction RootIndex 4 StartRoot 6 x EndRoot Over 2 x EndFraction
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 2 x EndFraction
StartFraction RootIndex 4 StartRoot 24 x cubed EndRoot Over 16 x Superscript 4 Baseline EndFraction
RootIndex 4 StartRoot 12 x squared EndRoot
Answer:
b
Step-by-step explanation:
i took the test myself
Answer:
B
Step-by-step explanation:
Edge 2022
If the function m(x) has the point (5, 2) on its graph name a point that would be on the function m(5x).
(1, 2)
(10, 2)
(5, 10)
(25, 2)
Answer:
21
Step-by-step explanation:
Please help !!!!ASAP!!!!
Please answer the Picture below.
Answer:
Part A) shorter base = 6 yd longer base = 8 yd
Part B) C. 42 yds²
Step-by-step explanation:
Part A) The width and the length of the shorter side are the same, at 6 yds each. The longer base is 8 yds because there is a spot of 1 yd on both sides of the shorter side, making the longer side.
Part B) Find the area of the square first.
A = L x W
A = 6 x 6
A = 36 yds²
Next, find the area of a triangle and multiply the answer by 2 because there are two triangles.
A = 1/2bh
A = 1/2(1)(6)
A = 1/2(6)
A = 3(2)
A = 6 yds²
Add together all of the area measurements to find the area of the entire figure
36 + 6 = 42 yds²
help plz I need big help someone plz help me with this question!
Answer:
Step-by-step explanation to be honest probably 12 if not i’m so sorry
What’s the area of this figure?
Answer:
C. 155.5 cm2
Step-by-step explanation:
area = 5*15 + (15+8)*7/2 = 75 + 80.5 = 155.5 cm2
I’ve been stuck on this one for a while can anyone help me?
Answer:
It would be Unlikely
Step-by-step explanation:
Imagine that you are an engineer for a soda company, and you are tasked with finding the most economical shape for its aluminum cans You are given a set of constraints: the can must hold a volume of liquid and be a cylindrical shape of height hand radius r, and you need to minimize the cost of the metal required to make the can
Look at a variety of aluminum cans of different sizes from the supermarket. Which models from problems a–c best approximate the shapes of the cans? Are the cans actually perfect cylinders? Are there other assumptions about the manufacture of the cans that we should take into account? Do a little bit of research, and write a one-page response to answer some of these questions by comparing our models to the actual dimensions used.
Answer:
The answer to that depends on the company
Step-by-step explanation:
Using the following data, calculate the mean absolute deviation:
10 7 1 6 7 9 8 10 2 5
What is the mean absolute deviation for these data? (60 points)
a) 2
b) 2.4
c) 6.5
d) 7
Answer:
2.4
Step-by-step explanation:
First we need to find the mean
Add up all the number
(10+ 7+ 1+ 6+ 7+ 9+ 8+ 10+ 2+ 5)/10
65/10 = 6.5
Then find the absolute difference from each point and the mean and sum them together and divide by the number of points
((10-6.5) + (7-6.5) +(6.5- 1) +(6.5-6) + (7-6.5)+( 9-6.5)+( 8-6.5)+ (10-6.5)+(6.5- 2)+(6.5- 5)) /10
24/10
2.4
Answer:
b) 2.4
Step-by-step explanation:
Mean = (10+7+1+6+7+9+8+10+2+5)/10
= 65/10 = 6.5
Sum|x-mean| = 3.5+0.5+5.5+0.5+0.5+2.5+1.5+3.5+4.5+1.5 = 24
MAD = 24/10 = 2.4
find the value of log 3 base 81.
Exact value
Decimal form
0.47712125
Answer:
[tex]log_{81} 3 = \frac{1}{4}[/tex]
Step-by-step explanation:
[tex]Let \; log_{81} 3 = x \\\therefore 3 = {81}^x ..(by\: changing\: in \: exponential\: form)\\\therefore 3^1 = {3}^{4x}\\\therefore 1 = 4x.\\(\because bases \: are \: equal,\: hence \: exponents\: will\: also\: be \: equal)\\\therefore x = \frac{1}{4}\\\\\huge\purple{\boxed{\therefore log_{81} 3 = \frac{1}{4}}}[/tex]