Step-by-step explanation:
12 = 2x - 4
16 = 2x
8 = x
.....
An employer's accountant has announced that
the budget for the next year must be cut by
33. How much must be cut from the
budget if last year's budget was
$166,245?
A. $11,830
B. $55,415
C. $166,245
D. $498,735
The amount of budget cut from last year's budget which was $166,245 will be $54860.85 which is nearly $55,415 from the given option. Hence the correct option is (B).
What is the percentage?The percentage is the 1 of the hundred or simply the amount or value of any number or data in the range of 100 called percentage.
For example, if Ramesh got 87 marks out of 150 then it required a lot of attention to drawing a conclusion about Ramesh's marks but if I say Ramesh got 58% then it will be easier to think and draw any conclusion.
Given that last year budget was $166,245 and the cut was 33% so it means it will be 0.33 of the $166,245 so
$166,245 × .33 = $54860.85 but in option, it is not mentioned so the nearest answer among the option will be (B).
For more about the percentage
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Write the following ratios in their simplest form.
27:30
Answer:
9/10
Step-by-step explanation:
Answer:
9:10
Step-by-step explanation:
27:30 = 9:10
BRAINLIEST PLEASE
What is the solution of the system? 2x + 5y = 14 x + 3y = 16
See attachment for math work and answer.
Can someone please help mee fast!!
Step-by-step explanation:
insta I'd :- itz_anurag_r
anyone msg me on insta plzzz I'm bored at home ❤️
How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?
A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.
B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?
Complete Question
How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?
Exercise 9.53
A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.
B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?
Answer:
The First question
[tex] n = 1879 [/tex]
A
The 96% confidence interval is
[tex]0.51 < p < 0.63 [/tex]
B
The possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57 is
[tex]E = 0.06 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.02[/tex]
The sample size is n = 200
The number that supported the annexation suit is k = 114
Considering the first question
Generally our sample in Exercise 9.53 is [tex]\^ p = 0.57[/tex]
From the question we are told the confidence level is 96% , hence the level of significance is
[tex]\alpha = (100 - 96 ) \%[/tex]
=> [tex]\alpha = 0.04[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.751 [/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.751}{0.02 } ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.751}{0.02 } ]^2 * 0.57 (1 -0.57 ) [/tex]
=> [tex] n = 1879 [/tex]
Considering question B
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.751 * \sqrt{\frac{ 0.57 (1- 0.57 )}{200} } [/tex]
=> [tex]E = 0.06 [/tex]
Considering question A
Generally the sample proportion of the number that supported the annexation suit is mathematically represented as
[tex]\^ p = \frac{114}{200}[/tex]
=> [tex]\^ p = 0.57[/tex]
Generally 96% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.57 - 0.06 < p < 0.57 + 0.06 [/tex]
=> [tex]0.51 < p < 0.63 [/tex]
To the nearest millimeter, a cell phone is 120 mm long and 51 mm wide. What is the ratio of the width to the length?
Answer:
51:120
Step-by-step explanation:
since 120 is length in mm, it is the y value
since 50 is width in mm it is the x value
51mm:120mm
Help me please *an image is attached*
Answer:
its C
Step-by-step explanation:
Answer:
C. The graph has y-intercept - 2, not initial value - 2.
Step-by-step explanation:
Hope this helps
What steps would you follow in order to solve the equation?
subtract 4 on each side and divide by 8
add 4 on each side and divide by 8
add 4 on each side and multiply by 8
subtract 4 on each side and multiply by 8
Answer 259.2 -4 divided 8=-0.5+4=4.5 divided by 8=0.5625+4=4.5625x8=36.5-4=32.4x8=259.2
Answer:
bro what's the equation?
Step-by-step explanation:
Need help id appreciate it
Answer:
x=14
Step-by-step explanation:
If the square from GAI are 6 cm, then the other half of the triangle is also 6 inches long. Because it is not an even sided triangle, all the sides shouldnt be the same size. If you multiply 6 by 2 you get 12. 7 times 6 is 42. 42 divided by 3 is 14. The value of X should be 14.
Please help me asap please
Which functions are even? Check all of the boxes that apply.
f(x) = x2 – 3x + 2
7x) = -2)
f(x) = |x|
Answer:
C) f(x) = |x|
Step-by-step explanation:
Determine if Odd, Even, or Neither
f (x) = |x|
Find f (−x) by substituting −x for all occurrence of x in f (x). f(−x) = |−x|
Make −x positive.
f(−x) = |x|
A function is even if f(−x) = f(x).
Check if f(−x) = f(x).
|x| = |x|
Since |x| = |x|, the function is even.
1. John looked on a map to find the distance he would be driving from Austin to New York.
The distance on the map was 580 cm. If the scale for the map was lcm = 3.1 miles, what is
the actual distance between these two places in miles?
A 17,980 miles
B. 179.8 miles
C. 1,1798 miles
D. Not Here
Answer:
580×3.1 =17980 miles is answer
please help me the blue line is what I have to solve for
Step-by-step explanation:
blue line = x
12c-8-2c+10-4=10c-x
(12-2)c+(10-4-8)=10c-x
10c-2=10c-x
=> x=2
Given the points a ( -2,4 ) and b(7,-2) find the coordinates of the point p on the directed like segment ab that partitions ab in the ratio 1:2
9514 1404 393
Answer:
p = (1, 2)
Step-by-step explanation:
We want ...
(p -a)/(b -p) = 1/2
2(p -a) = b -p . . . . . cross multiply
3p = b +2a . . . .. . . rearrange
p = (b +2a)/3
p = ((7, -2) +2(-2, 4))/3 = (7 -4, -2 +8)/3 = (3, 6)/3
p = (1, 2)
Please find the percent of change rounding to the nearest tenth of a percent
Answer:
the answer is decreases
if a store is selling 3 bottles of water for $3.24. how much would 8 bottles of water cost
Answer:
$8.64
Step-by-step explanation:
Divide 3.24 by three to get the codt of one bottle,$1.08. multiply $1.08 by 8 and we get $8.64.
What is the volume of a cone with a diameter of 8 centimeters and a height of 14 centimeters? (Use 3.14 for .)
234.45 cm3
703.36 cm3
937.81 cm3
117.23 cm3
Answer:
Volume of cone = 234.45 cm³
Step-by-step explanation:
Given:
Diameter = 8 cm
Radius r = 8 / 2 = 4 cm
Height h = 14 cm
Find:
Volume of cone
Computation:
Volume of cone = (1/3)πr²h
Volume of cone = (1/3)(3.14)(4)²(14)
Volume of cone = 234.45 cm³
Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. The graph look identical so he believes that the equations represent the same line. What mathematical argument can he construct to show that the two forms are equivalent?
The slope and the intercept of both lines are the same. Because of that, the lines are identical.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. Write both equations in the slope-intercept form and compare.
The general form of the equation of the line is:-
y = mx + c
y=-2/5x+3
Solve the equation to form their general form.
2x+5y=15.
5y = 15 - 2x
y = ( 15 / 5 ) - 2 / 5x
On comparing the two lines it is observed that the lines are having the same slope and intercept.
Therefore, the slope and the intercept of both lines are the same. Because of that, the lines are identical.
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QUESTION 2
Solve the equation for exact solutions.
arccos x + arccos 2x = arccos
1/2
Three numbers are in the ratio 2:3:4. What are the numbers if their sum is 72?
Step-by-step explanation:
2N+3N+4N=9N
9N=72
N=72/9
N=8 ANS
hope it helps!
.......
Answer:
16:24:32
Step-by-step explanation:
2+3+4 = 9
72÷9 = 8
One part of the ratio is therefore worth 8.
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
16:24:32
what is an example of a dealer incentives
Answer:
a dealership may offer a cheaper price to a customer for a vehicle so it can meet a sales target and earn an incentive.
Step-by-step explanation:
An objects _________
(Giving brainliest!!)
Terrance packs two boxes inside a crate. The total weight of the crate and two boxes is 98.45 pounds. One box weighs 32.8 pounds, and the other box weighs 39.34 pounds. How much does the crate weigh?
A) 72.14 pounds
B) 59.11 pounds
D) 26.31 pounds
Answer:
the crate weighs 26.31
Step-by-step explanation:
add 32.8 and 39.34 together and then subtract 98.45 from the sum. ^^
Answer:
the crate weighs 26.31
Step-by-step explanation:
add 32.8 and 39.34 together and then subtract 98.45 from the sum. ^^
Step-by-step explanation:
18% of the cars in the parking lot are blue. If there are 150 cars in the parking lot , how many cars are blue ?
Answer:
27 cars are blue
Step-by-step explanation:
if you have 150 cars and 18% are blue, you will have to multiply 0.18 x 150 and that equals to 27, so 27 cars are blue
Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a 15\%15%15, percent tip.What is her total bill including tip?
Answer:
$51.75
Step-by-step explanation:
The meal cost $45. $45 is 100% of the cost. She wants to leave a 15% tip, so add 15% to 100%.
15% + 100% = 115%
She will pay 115% of $45.
115% of $45 = 1.15 * $45 = $51.75
Solve the radical equation.
PLEASE HELPPPP
(2x−6)+4(x−3)
Find the sum.
Answer:
6x - 18 or 6*(x - 3)
Step-by-step explanation:
Pull out like factors: 6x - 18 = 6 • (x - 3)
Hope this helps! Please mark as brainlest.
Thanks!
Joe drove 215 miles in 3 hours. Moe drove 240 miles in 4 hours. Who drove at the fastest rate of speed
12. John borrowed $80 from his sister, Joan. He agreed to pay her back at a rate of $6 per
week. Create a function, P, that gives the amount of money that john still owes Joan after
w weeks.
12 (b) John told Joan that he will have paid her back all of the money, after making
payments for 13 weeks.. Explain why John is incorrect?
Answer:
P = 80 - 6wStep-by-step explanation:
Initial amount = $80Payment each week = $6Required function:
P = 80 - 6wTime required to pay all money. At this time P = 0
0 = 80 - 6w6w = 80w = 80/6w = 13.33Since w > 13, John needs 14 weeks
A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were. The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern.
These data can be graphically displayed as a bar graph. Which graph below correctly displays the data from the list and the table?
Answer:
False, the data set is not continuous. A histogram represents a continuous data set.
Is that an answer choice?
there if it is hope u pass good luck! :)
help child.......help me
my answer:
-2.9d+4.8h-16
Explanation: