The sales tax in your city is 8.8\%8.8%8, point, 8, percent, and an item costs \$63$63dollar sign, 63 before tax.
How much tax would you pay on that item?
9514 1404 393
Answer:
$5.54
Step-by-step explanation:
8.8% of $63 is ...
0.088×$63 = $5.544
The tax is rounded to the nearest cent, so you would pay $5.54 in tax.
Answer: 5.54
Step-by-step explanation: khan said it was correct
which number line shows the solution to the inequality below
-4g<4
(look at picture)
Answer:
b
Step-by-step explanation:
make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria
The U.S. Department of Agriculture records data on farm acreage and number of farms by county for every county in the country. This takes considerable time and energy, and the results for each update (usually occurring approximately every five years) are a long time in process. A quicker way to update the data is by sampling. The table below shows the number of counties in each geographic region and a summary of farm acres (in thousands) for independent random samples of 22 counties from each region.
Region Number of counties
North Central 1052
North East 210
South 1376
West 418
Required:
a. Estimate the mean acreage for each region, with a margin of error.
b. Estimate the total acreage for each region, with a margin of error.
c. Estimate the difference between mean acreage for the North Central region and the South, with a margin of error.
d. Estimate the difference between mean acreage for the North East and the West, with a margin of error.
e. Estimate the mean acreage per county across the United States, with a margin of error.
Solution :
From the table,
Number of countries = [tex]$N_i$[/tex]
Mean = [tex]$\overline Y_i$[/tex]
Standard deviation = [tex]$\sigma_i$[/tex]
Margin of error of B = 50,000 acres
So we determine the [tex]$\text{sample size n}$[/tex] and then allocate the four regions of [tex]$n_1, n_2, n_3$[/tex] and [tex]$n_4$[/tex].
Under the [tex]$\text{proportional allocation}$[/tex], the [tex]$\text{equation}$[/tex] for the value of [tex]$n_1$[/tex] which yields [tex]$V(\overline Y_{st}) = D = \frac{B^2}{H}$[/tex] is given by :
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
Let us complete the numerator
[tex]$\sum_{K=1}^L N_K \sigma^2_K = N_1\sigma_1^2 + N_2\sigma_2^2 + N_3\sigma_3^2 + N_4\sigma_4^2$[/tex]
[tex]$= 1052 \times (271)^2 + 210 \times (79)^2 + 1376 \times (244)^2 + 418 \times (837)^2 $[/tex]
= 453329920
The bound on the error of estimation is B = 50,000 acres
Hence we get
[tex]$D=\frac{B^2}{H}$[/tex]
[tex]$=\frac{50000^2}{4}$[/tex]
= 625,000,000
[tex]$n=\frac{\sum_{K=1}^L N_K \sigma^2_K}{ND+\frac{1}{N}\sum_{K=1}^L N_K \sigma^2_K}$[/tex]
[tex]$=\frac{453329920}{3056 \times 625 + \frac{1}{3056} \times 453329920}$[/tex]
= 220.24044
≈ 221 (approximately)
Therefore, the sample size under the proportional allocation from each stratum are given by :
[tex]$n_1=n\left[\frac{N_1}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1052}{3056}\right]$[/tex]
≈ 76
[tex]$n_2=n\left[\frac{N_2}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{210}{3056}\right]$[/tex]
≈ 15
[tex]$n_3=n\left[\frac{N_3}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{1376}{3056}\right]$[/tex]
≈ 100
[tex]$n_4=n\left[\frac{N_4}{\sum_{K=1}^\mu N_K}\right]$[/tex]
[tex]$=221\left[\frac{418}{3056}\right]$[/tex]
≈ 30
Thus, we should select 76 counties from North central region, 15 counties from the north east region, 100 from south region and 30 from west region.
We can also estimate mean acreage of each county across all the county with a margin of error of 50,000 acres.
Is 5pi/3 the same as 5/3 radians?
Best answer gets brainliest!!
Maria is bringing her sick dog Pedro in for a series of appointments at the
veterinary clinic. Her total cost over the course of treatment will be $150 for tests
and medicine plus $30 per appointment, a.
Answer:
need help asap
Step-by-step explanation:
The Smiths painted their house blue. The complete predicate of this sentence is _____.
Smiths
the Smiths
The ratio of red chairs to blue chairs in the cafeteria is 3:5. If there are a total of 144 chairs in the cafeteria, how many are red?
Answer:
54.
Step-by-step explanation:
The fraction that are red = 3/(3+5) = 3/8.
So number of red chairs = 3 * 144/8
= 54.
What are the coordinates of the turning point of the parabola whose equation is y=-x^2+4x+1
PLEASEEE ANSWERRRRRR
Answer:
The maximum of the parabola lands at (2,5).
The coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)
What is Coordinate system?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.
The equation of Parabola is y=-x²+4x+1
The turning point (vertex) is the point where the derivative is equal to zero.
y=-x²+4x+1
Differentiate the equation
dy/dx=-2x+4
Now equate dy/dx with zero
dy/dx=0
-2x+4=0
-2x=-4
x=2
Now put x value in the equation
y=-(2)²+4(2)+1
y=-4+8+1
y=5
Hence the coordinates of the turning point of the parabola whose equation is y=-x²+4x+1 are (2, 5)
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PLEASE ILL GIVE BRAINLIEST
Ahmed has 31 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 535 cents, how many dimes and how many quarters does he have?
Answer:
19 dimes and 15 quarters.
Step-by-step explanation:
Lets substitute in the equation
565=10x+25(34-x)
565=10x+850-25x
15x=285
x=19
So...
34-19=15
if a +b+c = 0 then the value of a²+b²+c²/bc+ca+ab
pls solve and give the explanation
Answer:
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
Step-by-step explanation:
if:
a + b + c = 0
then we can rewrite:
c = -a - b
Now we can replace this in our expression:
[tex]\frac{a^2 + b^2 + c^2}{a*b + a*c + b*c} = \frac{a^2 + b^2 + (-a - b)^2}{a*b + a*(-a - b) + b*(-a - c)}[/tex]
Now we can rewrite:
(-a - b)^2 = a^2 + 2*a*b + b^2
Then we can rewrite our expression as:
[tex]\frac{a^2 + b^2 + a^2 + b^2 + 2*a*b}{a*b - a^2 - a*b - b^2 - b*a}[/tex]
Let's keep simplifying this:
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2}[/tex]
Here is easy to see the simplification we need to do, as we have the same factor in the denominator as in the numerator (just a different of sign).
[tex]\frac{2*(a^2 + b^2 + a*b)}{-a*b - b^2 - a^2} = \frac{2*(a^2 + b^2 + a*b)}{-(a^2 + b^2 + a*b)} = -2[/tex]
Then the expression is equal to -2
[tex]\frac{a^2 + b^2 +c ^2}{a*b + a*c + b*c} = -2[/tex]
Find the surface area of the rectangular prism (type the number
only)
2.6
4.2 ft
6.8 ft
HELP
Help Please?! ?????????????
Answer:
Ed's answer of [tex]\frac{3}{8}[/tex] is correct because he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer.
Step-by-step explanation:
To solve for m in [tex]\frac{2}{3}m=\frac{1}{4}[/tex] you want to isolate m by dividing by [tex]\frac{2}{3}[/tex] on both sides, therefore he divided [tex]\frac{1}{4}[/tex] by [tex]\frac{2}{3}[/tex] to get his answer of [tex]\frac{3}{8}[/tex], and his answer is correct.
Solve the following: You purchase a set of Bluetooth earbuds for $45 and use a $5 off manufacturer's coupon. If sales tax is 8.25%, how much do you pay for the earbuds? Include the dollar sign in your answer and round to two decimal places.
Answer:
43.3
Step-by-step explanation:
45-5=40,
0.0825*40=3.3
40+3.3=43.3
Express y-4[y-3(y-2)] -5 in simplest form
Answer:
y^3 - 9y^2 + 26y - 29
Step-by-step explanation:
y - 4[y - 3(y - 2)] - 5
I'm going to separate it into parts
(y - 3)(y - 2)
y^2 - 5y + 6
(y - 4)(y^2 - 5y + 6)
y^3 - 5y^2 + 6y - 4y^2 + 20y - 24
y^3 - 9y^2 + 26y - 24
y^3 - 9y^2 + 26y - 24 - 5
y^3 - 9y^2 + 26y - 29
There are eight boys and seven girls in a class. The teacher randomly selects three different students to answer questions. What is the probability that the first two students are girls followed by a boy?
the probability is 7/15
Step-by-step explanation:
because there are 7 girls and 8 boys
How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 15% nitrogen?
Answer:
x = 6 1/4
y = 3 3/4
Step-by-step explanation:
let 'x' = gallons of 6% nitrogen
let 'y' = gallons of 30% nitrogen
system of equations:
x + y = 10; let y = 10-x
6x + 30y = 10(15)
substitute '10-x':
6x + 30(10-x) = 150
6x + 300 - 30x = 150
-24x = -150
x = 6 1/4
y = 3 3/4
find K if 4 x square - 2 X square + kx + 5 leaves a remainder -10 when divided by 2x+1
Answer:
[tex]k = 31[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x^2 - 2x^2 + kx + 5[/tex]
[tex]r = -10[/tex] --- remainder
[tex]d = 2x + 1[/tex] --- divisor
Required
Find k
We have:
[tex]d = 2x + 1[/tex] --- divisor
Equate to 0
[tex]2x + 1 = 0[/tex]
Solve for x
[tex]2x = -1[/tex]
[tex]x =-0.5[/tex]
This means that:
[tex]f(-0.5)=-10[/tex]
So, we have:
[tex]4*(-0.5)^2 - 2*(-0.5)^2 + k*-0.5 + 5 =-10[/tex]
[tex]0.5 -0.5k + 5 =-10[/tex]
Collect like terms
[tex]-0.5k=-10-5-0.5[/tex]
[tex]-0.5k=-15.5[/tex]
Solve for k
[tex]k = -15.5/-0.5[/tex]
[tex]k = 31[/tex]
Seventy of Jo’s students are traveling by bus to the aquarium. They rented 2 buses, but there were only 64 seats. The remaining 6 students had to travel in a van. The equation 2b+6=70 represents the given scenario. What does B represent?
A. The number of students who rode on each bus
B. The number of buses
C. The total number of students going to The football game
D. The number of vans
Answer:
A
Step-by-step explanation:
please help
thank you
Answer:
Step-by-step explanation:
-4<n≤5
Please help me fast i need help
First question: less or greater
Second question: decrease or increase
Third question: would or would not
fourth question: correct or incorrect
You have to choose the answer's
Ok
Answer:
Look at the image.
Step-by-step explanation:
Patrica buys a total of 5 party hats and 5 balloons for the children at a party. Each party hat costs $0.50. Patrica spends a total of $7.50 for the party hats and the balloons. Enter an equation that models the situation with b, the cost of 1 balloon.
Answer:
b=2.5-7.50
Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.
Plz help me well mark brainliest if you are correct!..
Answer:
8
Step-by-step explanation:
all numbers must be positive when you have the lines on the side
Answer:
8
Step-by-step explanation:
Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?
-8, 2), 2
(2, -8), 2
(8, -2), 2
(-2, 8), 2
plzzzzz help me i have no clue
Answer: Maybe a
Step-by-step explanation:
I mean it is confusing but still look over it
Answer:
The bottom one looks correct
Step-by-step explanation:
Any number from 1-infinity will make that true
Mr. Halsey leans a ladder against an 11.5 foot wall the bottom the of the ladder is 3.5 ft from the base of the wall as shown what is the approximate length of the ladder
Hence, the approximate length of the ladder is [tex]12ft[/tex].
What is the approximation value?
An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.
A calculation can be approximated by rounding the values within it before performing the operations.
Here given that,
[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]
Hence, the approximate length of the ladder is [tex]12ft[/tex].
To know more about the approximation value
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Eight new graduates are hired by an engineering firm. Each is assigned at random to one of eight cubicles arranged in a row in the back of the room that houses the engineering staff. Two of the graduates are Bill and Cathy. What is the probability that they are assigned adjacent cubicles
Answer:
the probability that they are assigned adjacent cubicles is 1 ÷ 4
Step-by-step explanation:
Given that
There is 8 new graduates are hired
2 of the graduates are bill and cathy
And, each one is assigned on random basis
We need to find out the probability
So,
= (2) (7!) ÷ (8!)
= (2) ÷ (8)
= 1 ÷ 4
Hence, the probability that they are assigned adjacent cubicles is 1 ÷ 4
The same would be relevant
The histogram shows the ages of the players in an adult volleyball league. Which of the
following statements is true?
Volleyboll Players Ages
The older the age group, the greater the
number of players
5
There are 30 players between ages 20 and 25.
Number of Players
More than half of the players are under age
40.
20% 30% 50's 70's
Age Group
There must be 5 players between 50 and 55.
Answer:
More than half of the players are under age
40.
Step-by-step explanation:
Evaluating the expression : More than half of the players are under age 40.
Below 40s :
Number of players in 20s = 19
Number of players in 30s = 24
(19 + 24) = 43 players
40s and above :
40s = 8 players
50s = 10 players
60s = 5 players
70s = 2 players
(8 + 10 + 5 + 2) = 25 players
Hence, total number of players below 30s is more Than half of the total players
The librarian at the Library of Congress has asked her assistant for an interval estimate of the mean number of books checked out each day. The assistant took a sample and found the mean to be 880 books. She provides the librarian with an interval estimate of between 790 and 970 books checked out per day. An efficient, unbiased point estimate of the number of books checked out each day at the Library of Congress is
Answer:
a. 880
Step-by-step explanation:
Options are "a. 880 b. 90 c. 790 d. None of these choices"
Interval estimate of between 790 and 970 books checked out per day.
Lower limit is 790, Upper limit is 970
Point estimate of μ(x) = [Upper limit + Lower limit} / 2
Point estimate of μ(x) = [970 + 790] / 2
Point estimate of μ(x) = 1760/2
Point estimate of μ(x) = 880
So, the efficient, unbiased point estimate of the number of books checked out each day at the New York City Public Library is 880.
beti ate 1/8 of the cake.nati had 2 smaller pieces.she ate 2/16 of the cake.who ate more cake? what fraction of the cake left?
Answer:
Both ate the same amount of cake, there will be 6/8 or 3/4ths of the cake left.
Step-by-step explanation:
2/16 is equivalent to 1/8. Therefore they ate the same amount of cake.
Answer:
they ate the same amount 1/8 and 2/16 are the same thing.3/4
Step-by-step explanation:
they both ate 1/8 so 8/8-2/8=6/8=3/4 of the cake left
Solve for x: 2(x + 4) + 6 = 12x - 8
Answer:
x = 2.2
Step-by-step explanation:
2(x+4)+6 = 12x-8
Use distribution property
2x+8+6 = 12x-8
Combine like terms
2x+14 = 12x-8
Subtract 14 from both sides
2x = 12x-22
Subtract 12x from both sides
-10x = -22
Divide both sides by negative 10
x = 2.2 or x = 11/5 in fractions.
Hope this helps