Answer:
I feel like you are mistaken on the first question...
6 plus 27 equals 33.
33 equals 100 percent.
What is 6 over 33? 0,18.
What's 27 over 33? 0,82.
Therefore, 19 plus 12 equals 31.
19 divided by 31 equals 0,61.
12 over 31 equals 0,39.
The Greatest Common Factor (GCF) of 4x3 - 2x2 + 8x is:
A. 2x
B. 2.
C. X
D.None of these choices are correct.
Answer:
A. 2x
Step-by-step explanation:
Step 1: Factor out a 2
2(2x³ - x² + 4x)
Step 2: Factor out an x
2x(2x² - x + 4)
So our answer is B.
what is the answer for 8=22x+1
Answer:
x = 22/7Step-by-step explanation:
22x + 1 = 8
Send 1 to the right side of the equation
22x = 8 - 1
22x = 7
Divide both sides by 22
x = 7/22
Hope this helps you
Need help What is 30% of 45?
Answer: 13.5
Step-by-step explanation:
30% = 0.3.
Thus, simply do 0.3*45 to get 13.5.
Hope it helps <3
Which of the following sets contains all factors of 12?
Answer:
Step-by-step explanation:
Factors of 12
2, 3 , 6 , 4, 1, 12
A trade discount of 20% amounts to $25.98.
What was the list price?
What was the net price?
Step-by-step explanation:
Net $103.92 [$25.98 ÷ 20%]
List. $129.90 [ $103.92 + $25.98]
Please answer this correctly
Answer:
50 %
Step-by-step explanation:
p not greater than 5 means 5 or <5
so half of spinner means probability 50 %
Will give brainliest answer
Answer:
9π or 28.3 units²
Step-by-step explanation:
A = πr²
A = π(3)²
A = 9π
or
A= 28.3 units²
Hope this helps. :)
A regression line is the line that best fits the data, but this does not mean that the fit is good. In other words, there can still be a lot of variability about the regression line. Which combination describes a regression line that is a good fit for the data?
a. Larger-sq and small Se
b. Larger-sq and large Se
c. Small r-sq and small Se
d. Smallr-sq and large Se
Answer:
The following combination describes a regression line that is a good fit for the data
a. Larger R-sq and small Se
Step-by-step explanation:
In regression analysis, we measure the goodness of fit in terms of two parameters.
1. R² ( R-squared or also called the coefficient of determination)
2. SE ( Standard Error)
1. R-squared
The R-squared indicates the relative measure of the percentage of the variance with respect to the dependent variable.
R-squared is measured in percentage so it doesn't have any unit.
The greater the R-squared percentage, the better is the goodness of fit.
2. Standard Error
The SE basically indicates that on average how far the data points are from the regression line.
The unit of the standard error is the same as the dependent variable.
The lower the SE, the better is the goodness of fit.
Therefore, the correct option is (a)
a. Larger R-sq and small Se
What is the difference?
StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction
StartFraction x minus 1 Over 6 x + 4 EndFraction
StartFraction negative 1 Over 4 x + 2 EndFraction
StartFraction 1 Over x + 2 EndFraction
StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction
Answer:
The answer is option D.Step-by-step explanation:
First we must first find the LCM
The LCM of x² + 3x + 2 and (x + 2)(x + 1 ) is
x² + 3x + 2
So we have
[tex] \frac{x}{ {x}^{2} + 3x + 2 } - \frac{1}{(x + 2)(x + 1)} \\ \\ = \frac{x - 1}{ {x}^{2} + 3x + 2 } [/tex]
Hope this helps you
Answer:
The answer is OPTION D!
Step-by-step explanation:
HoPe ThIs HeLpS!
Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D is the triangular region with vertices (0, 0), (2, 1), (0, 3); rho(x, y) = 2(x + y)
The mass of the lamina is 6 units.
The center of mass of the lamina is (X,Y) = (-3/2, 9/2).
Here,
To find the mass and center of mass of the lamina, we need to integrate the density function ρ(x, y) over the triangular region D.
The mass (M) of the lamina is given by the double integral of the density function over the region D:
M = ∬_D ρ(x, y) dA
where dA represents the differential area element.
The center of mass (X,Y) of the lamina can be calculated using the following formulas:
X = (1/M) ∬_D xρ(x, y) dA
Y = (1/M) ∬_D yρ(x, y) dA
Now, let's proceed with the calculations:
The triangular region D has vertices (0, 0), (2, 1), and (0, 3). We can define the limits of integration for x and y as follows:
0 ≤ x ≤ 2
0 ≤ y ≤ 3 - (3/2)x
Now, let's calculate the mass (M):
M = ∬_D ρ(x, y) dA
M = ∬_D 2(x + y) dA
We need to set up the double integral over the region D:
M = ∫[0 to 2] ∫[0 to 3 - (3/2)x] 2(x + y) dy dx
Now, integrate with respect to y first:
M = ∫[0 to 2] [x(y²/2 + y)] | [0 to 3 - (3/2)x] dx
M = ∫[0 to 2] [x((3 - (3/2)x)²/2 + (3 - (3/2)x))] dx
M = ∫[0 to 2] [(3x - (3/2)x²)²/2 + (3x - (3/2)x²)] dx
Now, integrate with respect to x:
[tex]M = [(x^3 - (1/2)x^4)^2/6 + (3/2)x^2 - (1/4)x^3)] | [0 to 2]\\M = [(2^3 - (1/2)(2^4))^2/6 + (3/2)(2^2) - (1/4)(2^3)] - [(0^3 - (1/2)(0^4))^2/6 + (3/2)(0^2) - (1/4)(0^3)]\\M = [(8 - 8)^2/6 + 6 - 0] - [0]\\M = 6[/tex]
So, the mass of the lamina is 6 units.
Next, let's calculate the center of mass (X,Y):
X = (1/M) ∬_D xρ(x, y) dA
X = (1/6) ∬_D x * 2(x + y) dA
We need to set up the double integral over the region D:
X = (1/6) ∫[0 to 2] ∫[0 to 3 - (3/2)x] x * 2(x + y) dy dx
Now, integrate with respect to y first:
X = (1/6) ∫[0 to 2] [x(y² + 2xy)] | [0 to 3 - (3/2)x] dx
X = (1/6) ∫[0 to 2] [x((3 - (3/2)x)² + 2x(3 - (3/2)x))] dx
X = (1/6) ∫[0 to 2] [x(9 - 9x + (9/4)x² + 6x - (3/2)x²)] dx
X = (1/6) ∫[0 to 2] [(9/4)x³ - (3/2)x⁴ + 15x - (3/2)x³] dx
Now, integrate with respect to x:
[tex]X = [(9/16)x^4 - (3/8)x^5 + (15/2)x^2 - (3/8)x^4] | [0 to 2]\\X = [(9/16)(2)^4 - (3/8)(2)^5 + (15/2)(2)^2 - (3/8)(2)^4] - [(9/16)(0)^4 - (3/8)(0)^5 + (15/2)(0)^2 - (3/8)(0)^4]\\X = [9/2 - 12 + 15 - 0] - [0]\\X = 15/2 - 12\\X = -3/2[/tex]
Next, let's calculate Y:
Y = (1/M) ∬_D yρ(x, y) dA
Y = (1/6) ∬_D y * 2(x + y) dA
We need to set up the double integral over the region D:
Y = (1/6) ∫[0 to 2] ∫[0 to 3 - (3/2)x] y * 2(x + y) dy dx
Now, integrate with respect to y first:
Y = (1/6) ∫[0 to 2] [(xy² + 2y²)] | [0 to 3 - (3/2)x] dx
Y = (1/6) ∫[0 to 2] [x((3 - (3/2)x)²) + 2((3 - (3/2)x)²)] dx
Y= (1/6) ∫[0 to 2] [x(9 - 9x + (9/4)x²) + 2(9 - 9x + (9/4)x²)] dx
Y = (1/6) ∫[0 to 2] [(9x - 9x² + (9/4)x³) + (18 - 18x + (9/2)x²)] dx
Now, integrate with respect to x:
[tex]Y= [(9/2)x^2 - 3x^3 + (9/16)x^4) + (18x - 9x^2 + (9/6)x^3)] | [0 to 2]\\Y = [(9/2)(2)^2 - 3(2)^3 + (9/16)(2)^4) + (18(2) - 9(2)^2 + (9/6)(2)^3)] - [(9/2)(0)^2 - 3(0)^3 + (9/16)(0)^4) + (18(0) - 9(0)^2 + (9/6)(0)^3)]\\Y = [18 - 24 + 9/2 + 36 - 36 + 12] - [0]\\Y= 9/2[/tex]
So, the center of mass of the lamina is (X,Y) = (-3/2, 9/2).
Learn more about mass here
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A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals. The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more that $2,000 on inventory of the shoes. Let x= the number of sneakers in stock, and y=the number of sandals in stock. Write an equation to show the profit she will make on sneakers and sandals. P = [answer0]
Answer:
The equation that shows the profit: P = 2x + 3y
Step-by-step explanation:
The number of sneaker = x
The number of sandals = y
Cost of sneaker = 8 dollars.
Cost of sandals = 14 dollars.
Selling price of sneaker = $10
Selling price of sandals = $17
Total revenue = $10x + $17y
Total cost = $8x + $14y
Profit (P) = Total revenue - Total cost.
Profit = ($10x + $17y) – ($8x + $14y)
P = 10x +17y – 8x – 14y
P = 2x + 3y
This table represents a quadratic function.
where is the table that represents the quadratic function
The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4. What is the measure of angle 2 in degrees?
Answer:
Measure of angle 2 = 82°
Step-by-step explanation:
m∠1 = (10 x + 8)°
m∠3 = (12 x - 10)°
2 lines are said to intersect to form 4 angles. And the labelling of the angles was done starting from top left, clockwise: the angles are 1, 2, 3, 4.
Find attached the diagram obtained from the given information.
Vertical angles are angles opposite each other when two lines intersect. As such, they are equal to each other.
Considering our diagram
m∠1 = m∠3
m∠2 = m∠4
Sum of all four angles firmed = 360° (sum of angles at a point)
m∠1 +m∠2 + m∠3 + m∠4 = 360°
m∠1 = m∠3
(10 x + 8)°= (12 x - 10)°
10x-12x = -10-8
-2x = -18
x= 9°
Also m∠2 = m∠4, let each equal to y
(10 x + 8)°+ y + (12 x - 10)° + y = 360
10x + 12x - 10 +8 +2y = 360
Insert value of x
22(9) -2 + 2y = 360
2y = 360-196
2y = 164
y = 82°
m∠2 = m∠4 = y = 82°
Measure of angle 2 = 82°
Answer:
2 = 82°
Step-by-step explanation:
A survey of 132 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take notes. The result of the survey is that 66 of the 132 students responded "yes.". An approximate 98% confidence interval is (0.399, 0.601). How would the confidence interval change if the confidence level had been 90% instead of 98%
Answer:
For 90% CI = (0.428, 0.572)
For 98% CI = (0.399, 0.601)
The confidence interval (and Margin of error) reduces when 90% confidence level is used compared to when 98% confidence level is used.
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
Given that;
Proportion p = 66/132 = 0.50
Number of samples n = 132
Confidence level = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
0.50 +/- 1.645√(0.50(1-0.50)/132)
0.50 +/- 1.645√(0.001893939393)
0.50 +/- 0.071589436011
0.50 +/- 0.072
(0.428, 0.572)
The 90% confidence level estimate of the true population proportion of students who responded "yes" is (0.428, 0.572)
For 90% CI = (0.428, 0.572)
For 98% CI = (0.399, 0.601)
The confidence interval (and Margin of error) reduces when 90% confidence level is used compared to when 98% confidence level is used.
The double cone is intersected by a vertical plane passing through the point where the tips of the cones meet. What is the shape of the cross section formed? HELP PLEASE ITS FOR PLATO
Answer:
B.
Step-by-step explanation:
The double cone is a cone on top of another cone. The bottom cone has the circular base on the bottom and the tip on top. The upper cone is upside down, and the two tips touch. Since the vertical plane goes through the tips of both cones, the cross section must have a shape that gets to a point at the middle of the height.
Answer: B. One triangle with the tip on top and an inverted triangle above it with the tips touching.
Answer:
B.
Step-by-step explanation:
answer: B. one triangle tip on top and invert above it with the top touching
The graph of F(x) shown below resembles the graph of G(x) = K, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
F(x)=?
G(X) = 1x1
O A. F(X) = 3M+3
O B. F(X) --
O C. F(x) = -3M-3
O D. F(X) = 3W-3
Step-by-step explanation:
O D. F(X) = 3W-3 the answer is D
The function that represents the situation is F(x) = -x² - 3.
The correct option is A.
What is transformation on the graphs?Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.
here, we have,
Let the functions f(x) and g(x) be two real functions.
And g (x) = f (x) + k, where k is real numbers.
The function can be sketched by shifting f (x), k units vertically.
The value of k can find the direction of shift:
if k > 0, the base graph shifts k units up, and
if k < 0, the base graph shifts k units down.
Given that ,
the parent function is g(x) = x².
To find the transformed function F(x):
The function's diagram is in the opposite direction.
That means the function is -x².
And the function is shifted 3 units down vertically.
From the definition the required function is,
F(x) = -x² - 3.
Therefore, F(x) = -x² - 3.
To learn more about the transformation on the graphs;
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complete question:
The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?
A.
F(x) = –x2 – 3
B.
F(x) = x2 – 3
C.
F(x) = –(x + 3)2
D.
F(x) = –(x – 3)2
Human body temperatures have a mean of 98.20degrees°F and a standard deviation of 0.62degrees°F. Sally's temperature can be described by zequals=minus−1.5. What is her temperature? Round your answer to the nearest hundredth.
Answer:
Her temperature is 97.27ºF.
Step-by-step explanation:
Z-score:
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.
In this question:
[tex]\mu = 98.2, \sigma = 0.62[/tex]
Z = -1.5. What is her temperature?
Her temperature is X when Z = -1.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.5 = \frac{X - 98.2}{0.62}[/tex]
[tex]X - 98.2 = -1.5*0.62[/tex]
[tex]X = 97.27[/tex]
Her temperature is 97.27ºF.
I’m so confused. Someone please help and if you can explain how to do it. WILL MARK BRAINLIEST
Answer:
Function
Step-by-step explanation:
A function is a relation where each x-value has only one y-value. In this problem, all the x-values have a y-value of 3. It is a function because even though they all share the same y-value, they don't have more than one y-value. It would be a relation but not a function if one x-value had two y-values.
Hope this helps. :)
Delicious Candy markets a two-pound box of assorted chocolates. Because of imperfections in the candy making equipment, the actual weight of the chocolate has a uniform distribution ranging from 31 to 32.5 ounces. What is the probability that a box weighs more than 32.2 ounces?
Answer:
20% probability that a box weighs more than 32.2 ounces
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X higher than x is given by the following formula.
[tex]P(X > x) = \frac{b-x}{b-a}[/tex]
Uniform distribution ranging from 31 to 32.5 ounces.
This means that [tex]a = 31, b = 32.5[/tex]
What is the probability that a box weighs more than 32.2 ounces?
[tex]P(X > 32.2) = \frac{32.5 - 32.2}{32.5 - 31} = 0.2[/tex]
20% probability that a box weighs more than 32.2 ounces
please help pleaseeeeeeeee
━━━━━━━☆☆━━━━━━━
▹ Answer
#3. 1.89/100
▹ Step-by-Step Explanation
1.89 → hundreths place so..
1.89/100 is the correct answer
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Pls help me :(((( Thank you
Step-by-step explanation:
[tex] \frac{2}{ \sqrt{9} } [/tex]
[tex] \frac{2 \times \sqrt{9} }{ \sqrt{9} \times \sqrt{9} } [/tex]
[tex] \frac{2 \sqrt{9} }{9} [/tex]
Answer:
[tex]\frac{2\sqrt{9} }{9}[/tex]
Step-by-step explanation:
[tex]\frac{2}{\sqrt{9} } \\[/tex]
[tex]\frac{2}{\sqrt{9} } * \frac{\sqrt{9} }{\sqrt{9} }[/tex]
[tex]\frac{\sqrt{9} }{\sqrt{9} }[/tex] is equal to 1, so it doesn't change the value, just helps us simplify.
[tex]\frac{2\sqrt{9} }{9}[/tex]
There are no common factors between 2 and root 9, so we are done
What is the area of the sector shown in the diagram below?
A.
50 cm2
B.
11.1 cm2
C.
2.5 cm2
D.
39.3 cm2
Answer:
B
Step-by-step explanation:
Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
Answer:
for us to be able to ascertain whether a function has no limit we approach from two points which are from zero and infinity.
Step-by-step explanation:
the two best path to approach a function is to approach from zero and approach from infinity, literary what we are trying to do is approach from the smallest to the greatest and it each point we can conclude with certainty whether the function has a limit or not.
Use the properties of logarithms to prove log81000= log210.
Answer:
Step-by-step explanation:
Given the expression [tex]log_81000 = log_210[/tex], to prove this expression is true using the properties of logarithm, we will follow the following steps.
Starting from the Left Hand Side:
[tex]log_81000\\[/tex]= log₈ 10³= log_ 2^3 (10³)= log₂10If a couple plans to have 9 children, what is the probability that there will be at least one boy? Assume boys and girls are equally likely. Is that probability high enough for the couple to be very confident that they will get at least one boy in 9 children?
Answer:
It is a 9/10 chance of having at least one boy. The probability is also high enough for the couple to be very confident in having at least one boy in 9 children.
Step-by-step explanation:
I listed all of the possible combinations below
GGGGGGGGG BGGGGGGGG
BBGGGGGGG BBBGGGGGG
BBBBGGGGG BBBBBGGGG
BBBBBBGGG BBBBBBBGG
BBBBBBBBG BBBBBBBBB
Total number of combinations with at least one boy is 9/10
This is a very high percentage, which means the couple is very likely to have at least one boy.
If x − √a is a factor of 2x4 − 2a 2x 2 − 3x + 2a3 − 2a2 + 3 , find the value of a.
Answer:
[tex]\boxed{\sf \ \ \ a = 1 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
saying that [tex]x-\sqrt{a}[/tex] is a factor means that [tex]\sqrt{a}[/tex] is a zero which means
[tex]2(\sqrt{a})^4-2a^2(\sqrt{a})^2-3*\sqrt{a}+2a^3-2a^2+3=0\\\\<=> 2a^2-2a^3-3*\sqrt{a}+2a^3-2a^2+3=0\\\\<=>3-3*\sqrt{a}=0\\\\<=>\sqrt{a}=\dfrac{3}{3}=1\\\\<=> a = 1[/tex]
so the solution is a = 1
Do not hesitate if you have any question
the table shows the time it took a group of students to complete a puzzle
Answer:
Where is the table because I dont see it up here?
15. A zoo is building a glass cylindrical tank
for the small sharks. The tank is 10 feet
high and has a diameter of 16 feet. How
much water is needed to fill the tank?
(The volume of a right circular cylinder is
V = Tr?h, where r is the radius, h is the
height, and a = 3.14.)
Answer:
2009.6
Step-by-step explanation:
As we know, volume of a right cylinder is πr²h.
here, diameter is mentioned, which gives that the radius is half of the diameter.
r= 1/2*16=8 feet
height= 10 feet
π=3.14
volume= 3.14*8²*10
= 3.14*64*10
=3.14*640
= 2009.6
so, that much water is needed to fill the tank
Answer:
2,010.6192982
Step-by-step explanation:
a passenger train can travel 245 miles in the same amount of time it takes a freight train to travel 200 miles. If the raye of the passenger train is 15 MPH faster than the rate of the frieght train find the rate of each
Set up a table and solve using an algebraic equation.
Answer:
Step-by-step explanation:
Let x represent the rate of the freight train. If the rate of the passenger train is 15 MPH faster than the rate of the frieght train, it means that the rate of the passenger train is x + 15
Time = distance/speed
Time that it will take a passenger train to travel 245 miles is
245/(x + 15)
Time that it will take a fright train to travel 200 miles is
200/x
Since both times are the same, it means that
245/(x + 15) = 200/x
Cross multiplying, it becomes
245x = 200(x + 15)
245x = 200x + 3000
245x - 200x = 3000
45x = 3000
x = 3000/45 = 66.67 mph
Rate of freight train is 66.67 mph
Rate of passenger train is 66.67 + 15 = 81.67 mph
E = { x l x is a perfect square <36}
Answer:
E = { x l x is a perfect square <36}
And we can rewrite it taking in count the list of all the perfect squares less than 36 and we have:
1= 1*1
4= 2*2
9 = 3*3
16 =4*4
25= 5*5
And we can rewrite the set on this way:
E= {1,4,9,16,25}
Step-by-step explanation:
For this problem we have the following set:
E = { x l x is a perfect square <36}
And we can rewrite it taking in count the list of all the perfect squares less than 36 and we have:
1= 1*1
4= 2*2
9 = 3*3
16 =4*4
25= 5*5
And we can rewrite the set on this way:
E= {1,4,9,16,25}