Three students simplified the expression 2x- 3(y-2x) +-5times -2y.
Amber -4y + 7y
Butch 4x + 7y
Carl 8x + 7y
Who is correct? Explain the error the other students made
Valerie predicts she will be able to hold her breath for 31 second while underwater. If she actually held her breath for 34 seconds, what was Valerie's percent error? Round your answer to the nearest tenth of a percent.
If she actually held her breath for 34 seconds. Then the percentage error will be 8.82%.
What is the percentage error?The amount of error is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Valerie predicts she will be able to hold her breath for 31 seconds while underwater.
If she actually held her breath for 34 seconds.
Then the percentage error will be
[tex]\rm error \ \% = \dfrac{34-31}{34} \times 100\\\\\\error \ \% = \dfrac{3}{34} \times 100\\\\\\error \ \% = 8.82 \%[/tex]
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Explain why you would want to keep some, but not all, receipts as part of your financial records.
You or we keep only those receipts
1. The receipt of those goods which has high transaction value, so that if there is a mismatch, at that time you can help the financial authorities or System.
2. We keep those receipts of goods,which are under warranty period or for which you are paying EMI.
3. Receipt of those goods which has very high amount printed on it, and it mismatch with our income ,i.e not correlated with our income Someone can make false claim to entangle you.
Answer:
1. The receipt of those goods which has high transaction value, so that if there is a mismatch, at that time you can help the financial authorities or System.
Step-by-step explanation:
What is the estimate of 462,809+256,738
A tape that records one hour and 30 minutes on each side moves at cm a second through the tape player. How long, in metres, is the tape?
1) Which number rounds up when rounded to the nearest tenth?
55. 24
170.93
0.12
8.15
___________
2)
Estimate the value of 2968 + 9912 by rounding each number to the thousands.
14,000
13,000
12,000
7000
___________
3)
Which statement below shows the best use of friendly numbers to estimate the value of 27 ·times 4
25 times 4 = 100
30 times 5 = 150
27 times 4 = 108
20 times 4 = 80
_____________
4)
Marcus has 78 baseball cards and 45 basketball cards. Estimate the total number of cards Marcus has.
30
33
123
130
___________
5)
Determine which answer is reasonable for 4. 8 times 9.2.
14
45.36
432
870.4
Answer:
1)8.15
2)13,000
3)25 x 4 =100
4) 130
5)45.3
Step-by-step explanation:
Scotty is planning to order 1 cubic yard of topsoil for his 15' by 24' garden expecting that if evenly spread, he would end up with 2 inches of topsoil. Is he correct? Explain.
2 inches = 0.1666 feet
15 x 24 x 0.1666 = 59.98 cubic feet
1 cubic yard = 27 cubic feet
59.98 is greater than 27 so 1 cubic yard of topsoil will not be enough
a study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 chevrolet cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. If 64 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.6 hours
Since we know the population standard deviation and the sample size is above 30, then we use the z statistic. The formula for z score is:
z = (x – u) / s
where,
x = the sample mean or sample value = 8.6 hours
u = the population mean = 8.4 hours
s = the standard deviation = 1.8 hours
Substituting into the given equation:
z = (8.6 – 8.4) / 1.8
z = 1.11
Using the standard probability distribution tables for z, a value of z = 1.11 has a probability of:
p = 0.8665
However this is still not the correct answer since this refers to the left of z. What we are trying to find is to the right of z since problem ask for exceeds 8.6 hours, therefore the correct answer is:
P (x>8.6 hours) = 1 – 0.8665
P (x>8.6 hours) = 0.1335
Therefore there is a 13.35% chance that the mean rebuild time is greater than 8.6 hours.
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3 + 48y2 cubic units. Which could be the base area and height of the prism? a base area of 4y square units and height of 4y2 + 4y + 12 units a base area of 8y2 square units and height of y2 + 2y + 4 units a base area of 12y square units and height of 4y2 + 4y + 36 units a base area of 16y2 square units and height of y2 + y + 3 units
Answer:
D!
a base area of 16y2 square units and height of y2 + y + 3 units
Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by the xy-plane.
We have that
Volume of the wedge-shaped region
[tex]W=228.65[/tex]
Attached below is a picture of the wedge-shaped region contained in the cylinder
Bearing in mind this shape, we have that the coordinates identifying the cylinder are as follows
Co-ordinates
[tex]0 \leq r \leq 7,\frac{\pi}{2} \leq 0 \leq \frac{\pi}{2},0 \leq z \leq x[/tex]
Where
[tex]0 \leq z \leq x =rcos \phi[/tex]
Generally the equation for the volume of the wedge-shaped region W is mathematically given as
[tex]\int \int \int_W 1dv=\int^{7}_{0} \int^{\frac{\pi}{2}}_{-\frac{\pi}{2}} \int^{rcos \phi}_{0}[/tex]
[tex]\int \int \int_W 1dv=\int^{7}_{0} r (\int^{\frac{\pi}{2}}_{-\frac{\pi}{2}}rcos\phi dv))dr[/tex]
[tex]\int \int \int_W 1dv=(\frac{(7)^3}{3}+\frac{(0)^3}{3})(sin {\pi/2}+sin{-\pi/2})[/tex]
[tex]\int \int \int_W 1dv=228.67[/tex]
Therefore
Volume of the wedge-shaped region
[tex]W=228.65[/tex]
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This only has one solution and I needz some halp with this. f - 6 = f + 8
An investigator wants to estimate caffeine consumption in high school students. how many students would be required to estimate the proportion of students who consume coffee? suppose we want the estimate to be within 5% of the true proportion with 95% confidence.
We can solve this problem by referring to the standard probability distribution tables for z.
We are required to find for the number of samples given the proportion (P = 5% = 0.05) and confidence level of 95%. This would give a value of z equivalent to:
z = 1.96
Since the problem states that it should be within the true proportion then p = 0.5
Now we can find for the sample size using the formula:
n = (z^2) p q /E^2
where,
p = 0.5
q = 1 – p = 0.5
E = estimate of 5% = 0.05
Substituting:
n = (1.96^2) 0.5 * 0.5 / 0.05^2
n = 384.16
Around 385students are required.
The area of a rectangle is 27 m^2 , and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the rectangle.
Length: ___m
Width: ____m
A pilot can fly an airplane 2240 miles with the wind in the same time as she can fly 1920 miles against the wind. If the speed of the wind is 40 mph, find the speed of the plane in still air.
The function f(x)=log[7]x is increasing. True or false
The given function increases as x increases, so the statement is true.
Is the function increasing?Here we have the function:
[tex]f(x) = log_7(x)[/tex]
To see if it is increasing, we can evaluate in two values, 10 and 15, this will serve to see if the function is increasing or not:
[tex]f(10) = log_7(10) = 1.18\\\\f(15) = log_7(15) = 1.39[/tex]
As you can see, when x increases also does f(x), so the function is increasing.
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Most teachers enjoy teaching students. Most teachers are college graduates. Assuming these two statements are true, do some college graduates enjoy teaching students?
Answer:
yes some some college graduates enjoy teaching students.
Step-by-step explanation:
This question is based on reasoning.
Most teachers enjoy teaching students.
Most teachers are college graduates.
A syllogism is a form of logical reasoning formed by the joining of two or more premises to arrive at a conclusion.
So, here we can say that yes some some college graduates enjoy teaching students.
Grape juice comes in a 64 oz bottle. Apple juice comes in a 80 ounce bottle. Both juices will be poured into cups of equal size so that no juice remains in either bottle. How many ounces is the largest possible cup that can be used for both juices?
16. Tamara’s dosage of medication has recently decreased 20 milligrams per day. What is the total decrease in Tamara’s medication at the end of the week? Show your work.
Given A = {a, e, i, o, u} and B = {a, l, g, e, b, r}, find A ∪ B.
(A ) - {}
(B) - {a,e}
(C ) - {a, b, e, g, i, l, o, r, u}
Find the taylor polynomial t3(x) for the function f centered at the number
a. f(x) = e^(â3x) sin(2x), a = 0
Jason deposits $5,000 in a bank account that will pay him 4% simple interest annually. If Jason deposits no more than the initial 5,000 , how much money will be in the account at the end of 5 years ?
If the revenue for the week is $2000, and labor cost consist of two workers earning $8 per hour who works 40 hours each, whay is labor cost aa percentage of revenue?
Find AB if BC = 4 , BD = 5, and AD =4
A ship traveled at an average rate of 22 miles per hour going west. It then traveled at an average rate of 12 miles per hour heading north. If the ship traveled a total of 158 miles in 9 hours, how many miles were traveled heading north?
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How many grams of protein do you need daily?
A single person earns a gross biweekly salary of $780 and claims 6 exemptions. What is the person's net pay?
a.
It is the same as the gross pay.
b.
It is $11 more than the gross pay.
c.
It is $11 less than the gross pay.
d.
It is $13 less than the gross pay
Answer:
A. It is the same as the gross pay.
Explanation:
To get the amount of income tax withheld, we use the table attached.
We are given that:
1- This biweekly gross salary is $780, therefore, we will go to the row having a minimum payment of $780 (red border)
2- The number of claimed allowances is 6, therefore, we will go to the column with 6 claimed allowances (blue border)
We now find the intersection between the row and the column. As we can see in the table, it is zero.
This means that the deducted taxes based on the givens is zero which means that the net pay is the same as the gross pay.
Hope this helps :)
Final answer:
To calculate the net pay, deduct the taxes and other deductions from the gross salary. Since the deductions will be greater than zero, the net pay will be $11 less than the gross pay.
Explanation:
To calculate the net pay, we need to deduct the taxes and other deductions from the gross salary. The main deductions to consider are Social Security, Medicare, and federal and state taxes. Let's break it down.
Calculate Social Security deduction: Gross biweekly salary x 6.2%.Calculate Medicare deduction: Gross biweekly salary x 1.45%.Calculate federal and state taxes: Gross biweekly salary x 15%.Add up all the deductions.Subtract the total deductions from the gross salary to find the net pay.
Since the deductions will be greater than zero, the net pay will be $11 less than the gross pay. Therefore, the correct answer is option c. $11 less than the gross pay.
A square is inscribed in a circle. A point in the figure is selected at random. Find the probability that the point will be in the shaded region.
The probability of the point will be in the shaded region is 0.64 or 64%.
A square is inscribed in circle. Probability of point to be pick from the square to be find out.
Venn diagram are the Figures of probabilities to understand better.
Here, diameter of circle = d and radius r =d/2, edge of the square = a
By Pythagorean theorem,
a²+a²=d²
2a²= (2r)²
a²=2r²
Area of the square =2r²
Area of the circle = πr²
Now probability = Area of the square/Area of the circle
= 2r²/πr²
= 2/π
= 0.64
Thus, The probability of the point will be in the shaded region is 0.64 or 64%.
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The formula for finding the circumference of a circle is C=2πrC=2πr . Rearrange the formula to solve for the radius (r).
A ratio is a rate. Sometimes always or never true
In a recent local taste contest testing Coke against Pepsi it was found that 3/5 of all people surveyed preferred to taste the Coke. if 7,500 people were in the survey how many chose Pepsi ?
Answer: 3,000
Step-by-step explanation:
Given : In a recent local taste contest testing Coke against Pepsi it was found that [tex]\dfrac{3}{5}[/tex] of all people surveyed preferred to taste the Coke.
If 7,500 people were in the survey , then the number of people chose coke will be :-
[tex]\dfrac{3}{5}\times7500=3\times1500=4500[/tex]
Now, the number of people chose Pepsi = 7,500-4,500=3,000
Hence, there are 3,000 people who chose Pepsi.