Answer:
3.375 bags of soil are needed for Paj to fill the flower pot
Step-by-step explanation:
This question can be solved using a rule of three.
One bag contains 2 + (2/3) = (8/3) cubic inches of soil. How many bags are needed to fill 9 cubic inches of soil?
1 bag - (8/3) cubic inches
x bags - 9 cubic inches
[tex]\frac{8x}{3} = 9[/tex]
[tex]8x = 27[/tex]
[tex]x = \frac{27}{8}[/tex]
[tex]x = 3.375[/tex]
3.375 bags of soil are needed for Paj to fill the flower pot
Paj needs 3.375 bags of soil to fill the bag.
Each bag contains 2²/₃ inch³ of soil and they need to fill up a 9 inch³ pot of soil.
First convert the mixed fraction to an improper one:
2²/₃ = 8/3
The number of bags needed is:
= Volume of pot / Quantity of soil in each bag
= 9 ÷ 8/3
= 9 x 3/8
= 3.375 bags of soil
Paj therefore needs 3.375 bags of soil to fill the pot
Find out more at https://brainly.com/question/17205287.
Expression is a trinonmial
Answer:
A: The expression is a trinomial with a degree of 4.
Step-by-step explanation:
The expression has three parts, so it's a tronomial.
The largest exponent is 4, so it has a degree of 4.
Answer:
Yea he is right it is a
Step-by-step explanation:
a rectangle has length x + 9 and width 2x - 1. What is the area of the rectangle?
Answer:
A = 2x^2 + 17x -9
Step-by-step explanation:
A = LW
L = x + 9
W = 2x - 1
A = (x+9)(2x-1)
FOIL
A = 2x^2 + 18x - x - 9
A = 2x^2 + 17x -9
SOMEONE HELP ????
Select steps that could be used to solve the equation 1+ 3x = -x+4
Answer:
a) add x , subtract 1 and divide by 4
The solution of given equation [tex]x = \frac{3}{4}[/tex]
Step-by-step explanation:
Given equation 1+3 x = -x +4
Add 'x' on both sides , we get
1 + 3 x + x = - x + x +4
1 + 4 x = 4
Subtract '1' on both sides , we get
1+4 x -1 = 4 -1
4 x = 3
Dividing '4' on both sides, we get
[tex]\frac{4x}{4} = \frac{3}{4}[/tex]
[tex]x = \frac{3}{4}[/tex]
Final answer:-
The solution of given equation [tex]x = \frac{3}{4}[/tex]
Nick score on six scientist are listed below 87,93,82,91,93,85
As a bonus the science teacher was going to add three points each test how does the mean of the new test scores compare with the mean of the original test scores??
Answer:
Mean of original test scores is 88.5
Mean of test scores , with three marks added to each score is 91.5
The mean of the test score with three marks added to each score is higher than the original mean of score is increased by three .
Explanation : hope it works out !!
what is 7 divided by 897
Answer:
Decimal form: 0.00780379
Step-by-step explanation:
Used a calculator tbh.
Plz click the Thanks button!
<Jayla>
How many blocks with dimensions of 1/3 x1 x1 can fit in a unit cude
Answer:
3
Step-by-step explanation:
1 / (1/3) = 3
find the percent if the whole is 4700 and the part is 305 and one half.
round to nearest tenth
Answer:
6.5%
Step-by-step explanation:
305.5/4700=0.065=6.5%
I NEED HELP QUICK PLEASE Segment Line segment X Y is dilated using a scale factor of Two-thirds through P. Which segment shows the correct result of the dilation?
Point P is the center of dilation. Line a is 4 units from point P, line B is 2 units from line a, line c is 2 units from line b, line d is 2 units from line c, line X Y is 2 units from line d.
line a
line b
line c
line d
Answer:
C
Step-by-step explanation:
Since lines a, b, c, d, and XY are all parallel to each other, and are a part of the same triangle, they are all similar. Thus, we can compare rates -- the distance between P to Y is 12, and 2/3 of 12 is 8, so we need to find that length, which is C
The segment of line c shows the correct result of the dilation. Hence, the correct answer is option C.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.
Since lines a, b, c, d, and XY are all parallel and part of the same triangle, they are all similar. Thus, we can compare rates the distance between P to Y is 12, and 2/3 of 12 is 8, which is C.
Hence, the correct answer is option C.
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A bag contains white marbles and green marbles, 52 in total. The number of white
marbles is 3 less than 4 times the number of green marbles. How many white marbles
are there?
Answer:
Step-by-step explanation:
I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget ro thank me...
There are 41 white marbles in the bag.
Let's assume the number of green marbles is represented by "x". According to the given information, the number of white marbles is 3 less than 4 times the number of green marbles.
Number of white marbles = 4x - 3
The total number of marbles is given as 52, so we can write the equation:
Number of white marbles + Number of green marbles = Total number of marbles
(4x - 3) + x = 52
Combining like terms:
5x - 3 = 52
Adding 3 to both sides:
5x = 55
Dividing both sides by 5:
x = 11
Therefore, the number of green marbles is 11.
To find the number of white marbles:
Number of white marbles = 4x - 3
= 4 * 11 - 3
= 44 - 3
= 41
Hence, there are 41 white marbles.
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HELP ASAP!!
Mr. Washington has a sign that is in the shape of a trapezoid. Some of the dimensions of the sign are shown. What is the area of Mr. Washington’s sign?
A) 24 sq. Ft.
B) 36 sq. Ft.
C) 42 sq. Ft.
D) 48 sq. Ft.
Answer:
Answer shown from explanation
Step-by-step explanation:
Area of trapezium =1/2 * sum of parallel side * height = 1/2. *(6+12) *4= 36sqft
What is the median? I need this turned in aaa on but I don’t get it
Answer: 7,500 passengers
Step-by-step explanation: Let's put the numbers from least to greatest...
5,000, 6,000, (7,000, 8,000,) 9,000, 10,000
Since there is an even number of numbers we will have two medians for the time being...
7,000 + 8,000 = 15,000
15,000 ÷ 2 = 7,500
Therefore, the median is 7,500, there are 7,500 passengers in total.
I hope this helps!
4. A small high school holds its graduation ceremony in the gym. Because of seating constraints, students are limited to a maximum of four tickets to graduation for family and friends. The vice principal knows that historically 30% of students want four tickets, 25% want three, 25% want two, 15% want one, and 5% want none. (a) Let X ¼ the number of tickets requested by a randomly selected graduating student, and assume the historical distribution applies to this rv. Find the mean and standard deviation of X. (b) Let T ¼ the total number of tickets requested by the 150 students graduating this year. Assuming all 150 students’ requests are independent, determine the mean and standard deviation of T. (c) The gym can seat a maximum of 500 guests. Calculate the (approximate) probability that all students’ requests can be accommodated. [Hint: Express this probability in terms of T. What distribution does T have?]
Answer:
(a) The mean and standard deviation of X is 2.6 and 1.2 respectively.
(b) The mean and standard deviation of T are 390 and 180 respectively.
(c) The distribution of T is N (390, 180²). The probability that all students’ requests can be accommodated is 0.7291.
Step-by-step explanation:
(a)
The random variable X is defined as the number of tickets requested by a randomly selected graduating student.
The probability distribution of the number of tickets wanted by the students for the graduation ceremony is as follows:
X P (X)
0 0.05
1 0.15
2 0.25
3 0.25
4 0.30
The formula to compute the mean is:
[tex]\mu=\sum x\cdot P(X)[/tex]
Compute the mean number of tickets requested by a student as follows:
[tex]\mu=\sum x\cdot P(X)\\=(0\times 0.05)+(1\times 0.15)+(2\times 0.25)+(3\times 0.25)+(4\times 0.30)\\=2.6[/tex]
The formula of standard deviation of the number of tickets requested by a student as follows:
[tex]\sigma=\sqrt{E(X^{2})-\mu^{2}}[/tex]
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{E(X^{2})-\mu^{2}}\\=\sqrt{[(0^{2}\times 0.05)+(1^{2}\times 0.15)+(2^{2}\times 0.25)+(3^{2}\times 0.25)+(4^{2}\times 0.30)]-(2.6)^{2}}\\=\sqrt{1.44}\\=1.2[/tex]
Thus, the mean and standard deviation of X is 2.6 and 1.2 respectively.
(b)
The random variable T is defined as the total number of tickets requested by the 150 students graduating this year.
That is, T = 150 X
Compute the mean of T as follows:
[tex]\mu=E(T)\\=E(150\cdot X)\\=150\times E(X)\\=150\times 2.6\\=390[/tex]
Compute the standard deviation of T as follows:
[tex]\sigma=SD(T)\\=SD(150\cdot X)\\=\sqrt{V(150\cdot X)}\\=\sqrt{150^{2}}\times SD(X)\\=150\times 1.2\\=180[/tex]
Thus, the mean and standard deviation of T are 390 and 180 respectively.
(c)
The maximum number of seats at the gym is, 500.
According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sum of values of X, i.e ∑X, will be approximately normally distributed.
Here T = total number of seats requested.
Then, the mean of the distribution of the sum of values of X is given by,
[tex]\mu_{T}=n\times \mu_{X}=390[/tex]
And the standard deviation of the distribution of the sum of values of X is given by,
[tex]\sigma_{T}=n\times \sigma_{X}=180[/tex]
So, the distribution of T is N (390, 180²).
Compute the probability that all students’ requests can be accommodated, i.e. less than 500 seats were requested as follows:
[tex]P(T<500)=P(\frac{T-\mu_{T}}{\sigma_{T}}<\frac{500-390}{180})\\=P(Z<0.61)\\=0.72907\\\approx 0.7291[/tex]
Thus, the probability that all students’ requests can be accommodated is 0.7291.
(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
Thanks 90 POINTS!!!!
Answer:
1
Step-by-step explanation:
(−4)−(−2)–{(−5)–[(−7)+(−3)–(−8)]}
PEMDAS
Work from the inside out
Change subtracting negatives to adding
(−4)+2–{(−5)–[(−7)+(−3)+8)]}
(−4)+2–{(−5)–[(-2)]}
(−4)+2–{-5+2}
(−4)+2–(−3)
Changing to adding
(−4)+2+3
-2+3
1
Wai recorded the length of each string needed for a knitting project. What is the total length of the string needed?
Answer:
The answer is "14.625 ft"
Step-by-step explanation:
In the given question some information is missing that is attachment of file which can be described as follows:
Add products:
[tex]\rightarrow \ (\frac{1}{8})\times 1+(\frac{1}{4})\times 1+(\frac{1}{2})\times 3+(\frac{3}{4})\times8+(1)\times4+1 \frac{3}{8}\times (2)1 \frac{3}{8} \\\\ \rightarrow 11/8\\\\[/tex]
[tex]\rightarrow \frac{1}{8}\times 1+(\frac{1}{4})\times1+(\frac{1}{2})\times3+(\frac{3}{4})\times8+(1)\times4+\frac{11}{8}\times(2)\\\\[/tex]
[tex]\rightarrow (\frac{1}{8})+(\frac{1}{4})+(\frac{3}{2})+(6)+(4)+\frac{11}{4}\\\\\rightarrow (\frac{1+2+12+48+32+22}{8}) \\\\\rightarrow \frac{117}{8} \\\\ \rightarrow 14.625 \ ft \\[/tex]
WILL MARK YOU AS BRAINLIEST HELP PLZ
Answer:
896+32=928in
Step-by-step explanation:
Question 3 (1 point)
The Base of a prallelogram is is multiplied by 3 and the height is multiplied by 6. The area of the new paralellogram is multiplied by
Answer: The area of the new parallelogram is multiplied by 18
Step-by-step explanation: Let the base and the height of the original parallelogram be ' x '
Base of the parallelogram = x
Height of the parallelogram = x
Area of parallelogram = l × b = lb
= x × x = x²
∴ Area of the original parallelogram = x²
∴ The base is multiplied by 3 = 3x
The height is multiplied by 6 = 6x
∴ Area of new parallelogram = 3x × 6x = 18x²
∴ The area of the new parallelogram is multiplied by = 18x²/ x²
= 18
Please mark this as brainliest
Suppose you regress the natural log of total family expenditures on household size using observations of households from the 2013 Consumer Expenditure Survey:
. reg Intotexppq fam_size
Source SS df MS Number of obs = 6,766
Model F(1, 6764) = 634.72
Residual Prob > F = 0.0000
R-squared = 0.0858
Adj R-squared = 0.0857
Total | 5540.26944 6,765 818960744 Root MSE = .86534
Intotexppp | Coef. Std. Err. t P>I t I |[95% Conf. Interval]
fam_size | .1767089 .007014 25.19 0.000
cons | .0203324 404.71 0.000
From the information given, you should be able to answer the following questions about the regression:
• (4) Interpret your estimate of the coefficient on family size.
• (4) Compute the 95% confidence interval for the coefficient on family size.
• (6) Compute the estimate of the intercept of the regression line.
• (5) Compute the Explained Sum of Squares and Residual Sum of Squares of the model.
• (6) How would you assess whether the error terms in your model were homoskedastic or heteroskedastic? Include a picture if you need to.
Answer:
Step-by-step explanation:
Please check below in the attached, you will see answer to given questions, thank you, I hope it helps.
Find the GCF of 260,80,50
Answer:
10
Step-by-step explanation:
help me with this plissssss
Answer: 1st and 3rd 2nd and fourth hope this helps :3
Step-by-step explanation:
System of Equations: Solve for (x,y) given the system of linear equations "X 1 point
- y = 4" and "x + y = 4".
Answer:
(x, y) = (4, 0)
Step-by-step explanation:
It looks like you want to solve ...
x - y = 4x + y = 4Adding the two equations gives ...
2x = 8
x = 4 . . . . divide by 2
Then ...
y = 4 - x = 0
The solution is (x, y) = (4, 0).
_____
If you think about what you're seeing when you read the equations, you realize that adding or subtracting y gives the same result. Hence y=0 and x=4.
Estimate the value of the radical below.
[tex]\sqrt{67}[/tex]
A.7.8
B.9.2
C.8.8
D.8.2
Please select the best answer from the choices provided
A
B
C
D
Lennox was curious if triangles \triangle ABE△ABEtriangle, A, B, E and \triangle DCE△DCEtriangle, D, C, E were similar, so she tried to map one figure onto the other using a reflection and a dilation. Lennox concluded: "It's not possible to map \triangle DCE△DCEtriangle, D, C, E onto \triangle ABE△ABEtriangle, A, B, E using a sequence of rigid transformations and dilations, so the triangles are not similar." What error did Lennox make in her conclusion?
Answer:
There is no error. This is a correct conclusion.
Step-by-step explanation:
If a sequence of rigid transformations
(translations, reflections, and rotations) and dilations can map △DCE onto △ABE, then the figures are similar.
Notice that both triangles are right triangles (at vertices B and C), with line AB and DC being the longer legs.
Therefore, if the triangles are similar, we should be able to map each pair of corresponding points onto each other with rigid transformations and dilations:
D should be mapped onto A.
C should be mapped onto B.
E should be mapped onto itself.
Lennox used a reflection across line BE and a dilation about E to get △DCE as close as possible to △ABE. But still, point D did not map onto point A.
So we can conclude that it's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations.
Lennox concluded:
"It's not possible to map △DCE onto △ABE using a sequence of rigid transformations and dilations, so the triangles are not similar."
There is no error. This is a correct conclusion.
Answer:
there is no error
Step-by-step explanation:
I took the quiz on Khan and got it correct!
What is the arc measure of major arc AC on circle P in degrees
The number 12,089 is:
< 12,098.
= 12,098.
> 12,098.
None of these choices are correct.
Answer:
< 12,098
Step-by-step explanation:
Because yes
...........
It is <12,098
One of them is correct
Write and simplify an expression for the surface area of a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards. What is the surface area if the height is 4 yards?
Answer:
Surface Area= (18.2+12.2h) square yardsWhen h=4 yds, Surface Area=67 square yardsStep-by-step explanation:
Given the length(l), height(h) and width(w) of a rectangular prism.
Surface Area=2(lw+lh+wh)
For a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards.
Surface Area[tex]=2(2.6*3.5+2.6h+3.5h)[/tex]
[tex]=2(9.1+2.6h+3.5h)\\=18.2+5.2h+7h\\[/tex]
Surface Area= (18.2+12.2h) square yards
If the height, h=4 yards
Then the surface area of the rectangular prism
=18.2+12.2h
=18.2+12.2(4)
=18.2+48.8
=67 square yards
Which statement(s) can be interpreted from the equation for a real estate value, V 228,000(1.03)' where V) represents the value of the real estate and t represents the time in years?
The equation is an exponential growth equation
The equation is an exponential decay equation
The equation is neither exponential decay nor exponential growth
$228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years
$228.000 represents the initial cost of a real estate that appreciates 30% per year over the course of years
$228.000 represents the initial cost of a real estate that depreciates 3% per year over the course of t years
$228.000 represents the initial cost of a real estate that depreciates 30% per year over the course of years
Answer:
The statements that are true for this equation are:
- The equation is an exponential growth equation.
- $228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years.
Step-by-step explanation:
We have the equation
[tex]V= 228,000(1.03)^t[/tex]
Where V: value of the real state and t: time in years.
As t is always positive in this case, and 1.03 is larger than 1, the value V will rise exponentially. The equation is an exponential growth equation.
The difference in value for each year is:
[tex]\dfrac{V_{t+1}}{V_t}=\dfrac{1.03^{t+1}}{1.03^t}=1.03^{t+1-t}=1.03\\\\\\V_{t+1}-V{t}=1.03V_t-V_t=0.03V_t[/tex]
We can conclude that the value increases each year 0.03 (3%) from the previous year value, starting from $228,000 in the year t=0.
$228.000 represents the initial cost of a real estate that appreciates 3% per year over the course of years.
An army depot that overhauls ground mobile radar systems is interested in improving its processes. One problem involves troubleshooting a particular component that has a high failure rate after it has been repaired and reinstalled in the system. The shop floor supervisor believes that having standard work procedures in place will reduce the time required for troubleshooting this component. Time (in minutes) required troubleshooting this component without and with the standard work procedure is recorded for a sample of 19 employees. In order to determine if having a standard work procedure in place reduces troubleshooting time, they should use
a. a one-tailed paired t-test.
b. a two-tailed test of two independent means.
c. a one-tailed test of two independent means.
d. a two-tailed paired t-test.
e. a test of two proportions.
Answer:
A. a one-tailed paired t-test.
Step-by-step explanation:
(256)^0.16*(256)^0.09 Answer of this pls
Answer:
4
Step-by-step explanation:
[tex]256^{0.16}\cdot 256^{0.09}=\\256^{0.16+0.09}=\\256^{0.25}=\sqrt[4]{256}=4[/tex]
Hope this helps!
UJUU J
Given p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24) = 0
a) Check by the remainder or factor theorems which of these is a factor of the polynomial
p(a): (a - 1), (a - 2) or (a + 4).
b) By the remainder theorem, state the remainder when p(a) is divided by the binomial
which are not its factors.
c) Use the factor from (a) to divide p(a) by long division.
d) Use the factor from (a) to divide p(a) by synthetic division. (your answer should
correspond with that from (c)).
Answer:
Plese read the complete procedure below:
Step-by-step explanation:
The polynomial is p(a) = (a^4 - 6a^3 + 3a^2 + 26a – 24)
a)
1 -6 3 26 -24 | 1
1 -5 -2 24
1 -5 -2 24 0
The remainder is zero, then (a-1) is a factor of the polynomial
b)
1 -6 3 26 -24 | 2
2 -8 10 72
1 -4 5 36 48
When p(a) is divided by (a-2) the remainder 28/p(a)
1 -6 3 26 -24 | - 4
-4 40 172 -792
1 -10 43 198 -816
When p(a) is divided by (a-2) the remainder -816/p(a)
c) I attached an image of the long division below:
what are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4
Answer:
[tex] y= 7(x+5)^2 -4[/tex]
The vertex form for a parabola is given by this expression:
[tex] y = a(x-h)^2 +k[/tex]
By direct comparison we see that for this case:
[tex] a = 7, h = -5 and k=-4[/tex]
And we know from the general expression that the vertex is:
[tex] V= (h,k)[/tex]
So then the vertex for this case is:
[tex] V= (-5,-4)[/tex]
Step-by-step explanation:
For this case we have the following function:
[tex] y= 7(x+5)^2 -4[/tex]
And we need to take in count that the vertex form for a parabola is given by this expression:
[tex] y = a(x-h)^2 +k[/tex]
By direct comparison we see that for this case:
[tex] a = 7, h = -5 and k=-4[/tex]
And we know from the general expression that the vertex is:
[tex] V= (h,k)[/tex]
So then the vertex for this case is:
[tex] V= (-5,-4)[/tex]