Answer:
The pre-tax amount was $1300.
Step-by-step explanation:
Given that:
After-tax total = $1413.10
Tax rate in the area = 8.7%
The pre-tax price would be 100% and this tax rate is an addition.
Total percent = (100+8.7)% = 108.7%
Let,
x be the pre-tax amount.
108.7% of x = 1413.10
[tex]\frac{108.7}{100}x=1413.10\\1.087x = 1413.10[/tex]
Dividing both sides by 1.087
[tex]\frac{1.087x}{1.087}=\frac{1413.10}{1.087}\\x= 1300[/tex]
Hence,
The pre-tax amount was $1300.
One of these students is chosen at random What is the probability that this student went to Paris
Answer:
1/how ever many students are going to Paris
Step-by-step explanation:
The perimeter of a rectangle is 370 m. The length of the rectangle is 65 m. How wide
is the rectangle?
Answer:
120
Step-by-step explanation:
370m - (65 x 2) = 240
240 divided by 2 = 120
Anne is choosing a contractor. She has narrowed down her selection to two
companies and will base her decision on the likelihood that the job is done on
time and on budget. She uses online reviews to estimate the probabilities.
Which contractor should Anne choose to maximize the probability that the job will be done on time and on budget? Assume all events are independent.
Answer: A. Contractor A. The probability that both conditions are met is 0.93
Step-by-step explanation:
Probability of two independent events happening can be found by multiplying them.
Probability of A doing the job on time and on budget:
= Probability that job is done on time * Probability it is done on budget
= 0.97 * 0.96
= 0.93
Probability of B doing the job on time and on budget:
= 0.93 * 0.98
= 0.91
Contractor A has the better probability at 0.93 so should be chosen.
solve the inequality and graph the solution on the line provided.
Answer:
x [tex]\geq[/tex] 5
Step-by-step explanation:
step 1: subtract 6 from both sides
step 2: divide both sides by 7
answer: x [tex]\geq[/tex] 5
interval notation: [5,∞)
Please help I need this done by tonight!!
Answer:
answer is 10
Step-by-step explanation:
(4x+12)+(4x+12)+(5x+26)=180[sum of isosceles triangles]
8x+34+5x+26=180
X=10
What type of learners do we have
Answer:
Down below
Step-by-step explanation:
Visual learners
Auditory learners
Kinesthetic learners
Reading learners
Writing learners
Please answer thank you!!!!!
Answer:
i7x+×52=/67, hope this helps!!!!
If it is completely impossible to put a contract in writing, which of the following would be the best substitute?
a. having a friend witness the verbal agreement
a video or audio recording of the verbal agreement
the words "I promise" spoken in a verbal recitation of the contract
d. a firm hand-shake between all those involved in the contract
C.
Please select the best answer from the choices provided
Answer:
B
Step-by-step explanation:
Because the the contract will be in verbal form. no matter if it is videotaped or recorded or both a "videoed verbal contract" not just written. so like paper thst is notarized or not this is still the same bc the the same rules apply the contract is still valid. the rest of the options are more like what they call gentlemens agreements which would be the handshake type of thing. and no matter what any agreement someone has to witness the transaction or contract. so definitely the answer is B
2) An $80 text book was on sale for $49.60 at the used book store. By
what percent did the book decrease in price?
Answer:
38%
Step-by-step explanation:
Original price = $ 80
Price after reduction = $ 49.60
Reduction = 80 - 49.60 = $30.40
Percentage of decrease = [tex]\frac{reduction price}{original price}*100[/tex]
[tex]= \frac{30.40}{80}*100\\\\=\frac{3040}{80}[/tex]
= 38%
Answer:
38%
Step-by-step explanation:
80x0.62=49.60
Please help if you can!!!!!!
Answer:
Perpendicular
7. Write an equation of the line that passes through the points (1, 4) and (-2, 10), in point-slope form.
Answer:
y = -2x + 6
Step-by-step explanation:
This has sort of the same concept as your earlier question
Use the equation y = mx + b
To find the slope, take the second y value and subtract the first y value. Then take the second x value and subtract the first x value. Divide the answers. You'd get -2 in this case. -2 would be your slope (m).
The substitute any set of x and y values (either (1, 4) or (-2, 10)) and the slope into y = mx + b. You'd get 6 as your y-intercept (b).
Simplify the expression.
21 + 49 divided by 7 + 1
Answer:
60 divided by 8
Step-by-step explanation:
60 divided by 8
50, 20, 8, ...
Find the 8th term.
Answer:
0.08192
Step-by-step explanation:
Given 50, 20, 8, ...
The sequence is geometric in nature
The nth term of the geometric sequence is exoressed as;
Tn = ar^{n-1}
a is the first term = 50
r is the common ratio = 20/50 = 8/20 = 2/5
n is the number of term = 8 (since we need the 8th term)
Substitute
T8 = 50(2/5)^{8-1}
T8 = 50(2/5)^7
T8 = 50(128/78,125)
T8 = 0.08192
Hence the 8th term is 0.08192
What is the length of WT?
Answer:
I think is 20
opcion 2 ......
A cube with a volume of 64 cubic meters is scaled by a factor of 5. What is the volume of the
modified cube in cubic meters?
Answer:
8,000 m^3
Step-by-step explanation:
The computation of the volume of the modified cube in cubic meters is shown below:
Given that
Volume = 64 m^3
So each side would be
= ∛64
= 4
Now each side is scaled by 5 so each side would be
= 4 × 5m
= 20m
Now the volume of the modified cube is
= 20^3
= 8,000 m^3
Answer:
8,000
Step-by-step explanation:
When the sides of the cube are scaled by a factor of k, the volume increases by a factor of k3. Here, the new volume is 64 cubic meters × 53 = 8,000 cubic meters.
please solve for x and explain every step in detail!!! it’s urgent
Answer:
[tex] x = zk + z + \mu[/tex]
Step-by-step explanation:
[tex] z = \frac{x - \mu}{k + 1} \\ \\ z(k + 1) = x - \mu \\ \\ z(k + 1) + \mu =x \\ \\ \red{ \bold{ x = zk + z + \mu}}[/tex]
One method for estimating the availability of office space in large cities is to conduct arandom sample of offices, and calculate the proportion of offices currently being used. Suppose that realestate agents believe that p = 0.70 of all offices are currently occupied, and decide to take a sample toassess their belief. They are considering a sample size of n = 40.a)
a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.
b. What is the mean of the sampling distribution of p if the real estate agents are correct?
c. What is the standard deviation of the sampling distribution of p if the real estate agents arecorrect?
d. If the real estate agents are correct, what is the probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05?
Answer:
a) Since np >= 5 and n(1-p) >= 5, the approximation is justified
b) 0.7
c) 0.0725
d) 0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05
Step-by-step explanation:
We use the normal distribution and the central limit theorem to solve this question.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
In this question, we have that:
[tex]p = 0.7, n = 40[/tex]
a. Show that this sample size is large enough to justify using the normal approximation to thesampling distribution of p.
We need that: np >= 5, n(1-p) >= 5. So
np = 40*0.7 = 28 > 5
n(1-p) = 40*0.3 = 12 > 5
Since both conditions are satisfied, the approximation is justified.
b. What is the mean of the sampling distribution of p if the real estate agents are correct?
This is [tex]\mu = p = 0.7[/tex]
c. What is the standard deviation of the sampling distribution of p if the real estate agents are correct?
This is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.7*0.3}{40}} = 0.0725[/tex]
d. If the real estate agents are correct, what is the probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05?
This is the pvalue of Z when X = 0.7 + 0.05 = 0.75 subtracted by the pvalue of Z when X = 0.7 - 0.05 = 0.65. So
X = 0.75
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.75 - 0.7}{0.0725}[/tex]
[tex]Z = 0.69[/tex]
[tex]Z = 0.69[/tex] has a pvalue of 0.7549
X = 0.65
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.65 - 0.7}{0.0725}[/tex]
[tex]Z = -0.69[/tex]
[tex]Z = -0.69[/tex] has a pvalue of 0.2451
0.7549 - 0.2451 = 0.5098
0.5098 = 50.98% probability that a sample proportion, p,would differ from p = 0.70 by as much as 0.05
z varies jointly as x and y. z=60 when x=5 and y=6. find z when x = 7 and y=3
Answer:
z = 42
Step-by-step explanation:
The question can be answered in 2 steps as follows:
Step 1: Calculation of the constant of the variation
The equation for the joint variation can be given as follows:
z = cxy ................... (1)
Where;
z = 60
c = constant = ?
x = 5
y = 6
Substituting the values into equation (1) and solve c, we have:
60 = c * 5 * 6
60 = c * 30
c = 60 / 30
c = 2
Step 2: find z when x = 7 and y = 3
Since from Step 1 c = 2, we now use equation (1) and substitute the values into it to find z as follows:
z = 2 * 7 * 3
z = 42
how do you find the slope of (2,20)(4,40)(6,60)
9514 1404 393
Answer:
slope = 10
Step-by-step explanation:
Examination of the values shows you that each y-value is 10 times the corresponding x value. That means the slope is 10. (If the ratios were different, then the slope formula would need to be used. The fact that they are all the same means y is proportional to x.)
__
You can use the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (40 -20)/(4 -2) = 20/2
m = 10
The slope is 10.
Which two terms can be combined in this expression?
6 + 3.2 m + two-fifths n minus StartFraction m over 5 EndFraction
6 and 3.2 m
3.2 m and Negative StartFraction m over 5 EndFraction
Two-fifths n and Negative StartFraction m over 5 EndFraction
6 and Negative StartFraction m over 5 EndFraction
Answer:
Your answer would be B. 3.2m and -m/5
Step-by-step explanation:
I did the test on edge and I got it right
Answer:
The person above is correct!
Step-by-step explanation:
Select each equation which is equivalent to 60% of 25.
A. 0.6 • 25 = x
B. x • 1.6 = 25
C. 6/10=x/25
D.60/100 = 25/x
E. x/25 = 60/100
F.6.0 • 25 = x
PLEASE I NEED THIS NOWWWWW
9514 1404 393
Answer:
A, C, E
Step-by-step explanation:
A. 0.6 • 25 = x . . . . . a direct translation of 60% of 25 (yes)
B. x • 1.6 = 25 . . . no (means 160% of x is 25)
C. 6/10=x/25 . . . . . . the ratio of x to 25 is 60% (yes)
D.60/100 = 25/x . . . no (means 25 is 60% of x)
E. x/25 = 60/100 . . . . . the ratio of x to 25 is 60% (yes)
F.6.0 • 25 = x . . . no (no means 600% of 25)
Answer:
A, C, E
Step-by-step explanation:
Jordan types at a constant rate of 40 words per minute. the number of words typed, y, is a function of the number of minutes spent typing, x. which equation models this situation
A. y=x/40
B. y=40/x
C. y=40x
D. y=x+40
part B
yse the equation you choose from part A to determine the number of words Jordan types in 7.5 minutes.
Jordan types _________ words in 7.5 minute
Answer:
It’s C
And I think is c
Find the inverse of y=-3x+6
Answer:
y = (x – 6) / -3 = [2 – x/3]
Step-by-step explanation:
y = f(x) = -3x + 6
f⁻¹(x) → x = -3y + 6 → (x – 6) / -3 → x / -3 + -6/-3 → -x / 3 + 2 → 2 – x/3
[please help im studying for my test and i dont understand how to do this]
Answer:
77.5 or 76
Step-by-step explanation:
You add all the sides together, since 7.75 is at the bottom, it'd also be at the top.
hello can anyone help me please
Answer:
5.3 to the 4th power :)
Step-by-step explanation:
solve for x x/10+5=−1
x=
Answer:
x=-60
Step-by-step explanation:
You solve for x by simplifying both sides of the equation, then isolating the variable.
A group of friends hiked 7 miles in 2 hours at this same rate what is the total number of miles they can hike in 8 hours
How much water do you add to make 12% sugar syrup using 5g sugar.
Answer:
You know that 5 g of sugar form 12%. Let x g be the amount of water needed. The total amount of syrup will be x+5 g. Then
5 g - 12%,
x+5 g - 100%.
mathematically you can write a proportion;
5/x+5=12/100
=>500=12(x+5)
,500=12x+60
,12x=400,
x=440/12
=110/3
=36 2/3g of water36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Let the amount of water is added be 'x'.
Amount of sugar = 5 g
We need to make 12% of sugar syrup.
x grams of water is added to 5 g of sugar, to 12% of sugar syrup.
5/5+x=12/100
Apply cross multiplication
5×100=12(5+x)
500=60+12x
Subtract 60 from both sides
440=12x
Divide both sides by 12
x=36.66
Hence, 36.66 grams of water is added to make 12% sugar syrup using 5g sugar.
To learn more on Ratios click:
https://brainly.com/question/1504221
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The sum of two numbers is 57 . The smaller number is 17 less than the larger number. What are the numbers?
Answer:
two numbers are 37 and 20
Step-by-step explanation:
x+y=57
let x be the smaller number
y=x+17
x + x+17=57
2x=57-17
2x=40
x=20
y=x +17
y=20+17
y=37
Select three ratios that are equivalent to 8: 20.
Choose 3 answers
Answer:
8:20
2:5
4:10
Step-by-step explanation:
this is correct