Answer:
371 pages are filled with stamps
Step-by-step explanation:
100 - 47 = 53
53/100 * 700 = 371
Hence 371 pages are filled with stamps
Under what circumstances is a score that is located 5 points above the mean a central value, relatively close to the mean?
a. When the population standard deviation is much less than 5
b. When the population mean is much less than 5
c. When the population mean is much greater than 5
d. When the population standard deviation is much greater than 5
The circumstance that the score is located 5 points above the mean a central value, relatively close to the mean is when the population standard deviation is much greater than 5.
What is the standard deviation?Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.
Here, we have
The circumstance is a score that is 5 points above the mean considered a central value.We have to find under what circumstances is a score that is 5 points above the mean considered a central value--meaning it is relatively close to the mean.
We concluded from the above statement that when the population standard deviation is much greater than 5.
Hence, when the population standard deviation is much greater than 5 then, the score that is 5 points above the mean is considered a central value.
Therefore, the correct option is D.
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A model of a car is 1 feet wide and 3 feet long. If the actual car is 15 feet long, what is the width of the actual car?
A. 3 feet
B. 5 feet
C. 15 feet
D. 45 feet
Answer:
5 feet.
Step-by-step explanation:
if we see that 3 feet is the model and 15 feet is the actual, we find the ratio is 3:15 or 1:5. since the width is 1 foot, then we see the actual is 5 feet long.
Pr. #3) Find the absolute maximum and absolute minimum values of g on the given interval. Put your answers in the form g(a) = b. g(x) = r + sin x+cost; 1,7
The absolute maximum value of g on the interval [1,7] is g(1) = r + sin(1) + cos(1), and the absolute minimum value is g(π) = r + sin(π) + cos(π) = r - 1.
To find the absolute extrema of g on [1,7], we first find the critical points by taking the derivative of g: g'(x) = cos(x) - sin(x)
Setting g'(x) = 0, we get:
cos(x) = sin(x)
which implies that either x = π/4 + kπ/2 or x = 3π/4 + kπ/2 for some integer k. Since 1 ≤ x ≤ 7, we have only one critical point in [1,7], namely x = π/4.
We now evaluate g at the endpoints of the interval and the critical point:
g(1) = r + sin(1) + cos(1)
g(7) = r + sin(7) + cos(7)
g(π/4) = r + √2
The absolute maximum value is the largest of these three values, which is g(1), and the absolute minimum value is the smallest of these three values, which is g(π/4).
Therefore, the absolute maximum value is g(1) = r + sin(1) + cos(1), and the absolute minimum value is g(π/4) = r + √2.
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Let u - 4x? - 1. Find du. (4-1) du - Indicate how the limits of integration should be adjusted in order to perform the integration with respect to u. (Enter your answer using interval notation.) [0, 1] - Evaluate the definite integral. 01 Need Help? Read to a Tutor Consider the following. Let u = x + 1. Find du. du- Indicate how the limits of integration should be adjusted in order to perform the integration with respect to L. (Enter your answer using interval notation, [0, 2] - Evaluate the definite integral.
The value of du becomes 4 by integration.
According to the statement
we have given a two statement which are u - 4x and u = x + 1.
And we have to find the value of du by the use of integration.
An Integral assigns numbers to functions in a way that describes the data.
So,
From u - 4x
here du becomes by derivative
du - 4dx/du
du = 4dx/du. -(1)
And in u = x + 1.
here du becomes
du = dx/du -(2)
by comparing both terms from equation (1) and (2) we get the value of du
du = 4.
the value of du is 4.
So, The value of du becomes 4 by integration.
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Find the coordinates of the centroid of the triangle with the given vertices.
F(1, 5), G(-2, 7), H( – 6, 3)
The coordinate of the centroid of the given triangle will be at (-2.33,5).
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The given triangle with vertices has been drawn.
The midpoint of H( – 6, 3) and F(1, 5) will be as,
x = (-6 + 1)/2 = -2.5
y = (3 + 5)/2 = 4 so D(-2.5,4)
The coordinate of the centroid will intersect 2:1 of the median from the vertex side.
Thus by intercept formula,
x = (2 × -2.5 + 1 × -2)/(2 + 1) and y = (2 × 4 + 1 × 7)/(2 + 1)
x = -2.33 and y = 5
So the coordinate of vertices will be (-2.33,5).
Hence "The specified triangle's centroid's coordinate will be at (-2.33,5)".
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help me out pleaseeeee
Answer:
86 degrees
Step-by-step explanation:
just do 110 degrees - 24 degrees to get 86 degrees
A certain type of brass contains 65% copper. How many pounds of copper are contained in 120 pounds of the brass?
The amount of cooper that are contained in 120 pounds of the brass is equal to 78 pounds.
Let the amount of copper be C.Given the following data:
Quantity of brass = 120 poundsPercentage of copper = 65%To calculate the amount of cooper that are contained in 120 pounds of the brass:
In this this exercise, you're required to determined how many pounds of copper can be found in 120 pounds of the brass. Thus, we would solve for the percentage of copper contained in this type of brass.
\(Copper = \frac{65}{100} \times 120\\\\Copper = 0.65 \times 120\)
Copper, C = 78 pounds
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Answer:
78 pounds
Step-by-step explanation:
This is correct because 65% of 120 pounds is equal to 78 pounds. 65% can be expressed as a decimal (0.65) and multiplied by 120 pounds to find the number of pounds of copper contained in 120 pounds of the brass.
if x and 5x are supplementary angles, find them
Answer:345678098321
Step-by-step explanation: I think so lol
Answer:
x+5x=180( adj.suppl.ls)
6x=180
6x÷6=180÷6
x=30
Which of these functions have a domain of all real numbers?
Answer:
I think it's A. I may be wrong tho.
Answer: A. Functions f, g, and h
Step-by-step explanation: Plato answer
Find the general solution of y''' − 2y'' − y' + 2y = e^x .
The general solution to the non-homogeneous equation is then:
y(x) = y_ h(x) + y_ p(x) = c1 e^ x + c2 e^{-x} + c3 e^{2x} - e^ x
To solve the given differential equation, we first need to find the characteristic equation:
r^3 - 2r^2 - r + 2 = 0
Factoring out (r-1) gives:
(r-1)(r^2 - r - 2) = 0
The quadratic factor can be factored as:
(r-1)(r+1)(r-2) = 0
So the roots of the characteristic equation are r = 1, r = -1, and r = 2.
The general solution to the homogeneous equation y''' - 2y'' - y' + 2y = 0 can be written as:
y_h(x) = c1 e^x + c2 e^{-x} + c3 e^{2x}
To find a particular solution to the non-homogeneous equation y''' - 2y'' - y' + 2y = e^x, we will use the method of undetermined coefficients. We guess that the particular solution has the form:
y_p(x) = A e^x
where A is a constant. Substituting this into the differential equation, we get:
A e^x - 2A e^x - A e^x + 2A e^x = e^x
Simplifying, we get:
-A e^x = e^x
So we must have A = -1. Therefore, the particular solution is:
y_p(x) = -e^x
The general solution to the non-homogeneous equation is then:
y(x) = y_h(x) + y_p(x) = c1 e^x + c2 e^{-x} + c3 e^{2x} - e^x
where c1, c2, and c3 are constants determined by the initial or boundary conditions.
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What is the expanded form for 3^4
3
1. 3 x 4
2. 3 x 3 x 3 x 3
3. 3 + 3 + 3 + 3
Answer:
2. 3 x 3 x 3 x 3
Hope this helps!!!!
Have a great night/morning!
Delta Math:
Finding Angles (Level 1) 1/5
Full explanation please
will give brainlist
Answer:
\(m\angle FGC =101\degree \)
Step-by-step explanation:
\(m\angle CBF = 46\degree\) (Given)
\(m\angle FIG = 55\degree\) (Given)
\(m\angle IFG = m\angle CBF\) (Corresponding angles)
\(\implies m\angle IFG = 46\degree\)
\(m\angle FGC =m\angle IFG+ m\angle FIG\)
(By exterior angle theorem)
\(m\angle FGC =46\degree+ 55\degree \)
\(m\angle FGC =101\degree\)
Here
<IFG=<IBC as lines are parallelUsing the formula
sum of interiors=external
m<FGC=m<IFG+m<GIFm<FGC=55+46°m<FGC=101°Frozen yogurt costs $0.52 per ounce. What is the cost of 8 ounces of frozen yogurt?
$
Answer:
$4.16
Step-by-step explanation:
To find out how much 8 ounces of frozen yogurt costs if each ounce costs $0.52, we can use an equation that looks like this:
0.52 × 8 = 4.16Therefore, for 8 ounces of yogurt is will cost $4.16.
what is the volume of the figure? PLEASE HELP ASAP NO LINKS
Answer:
720 I think there is your answer from me
have a great day bye hop helps
Step-by-step explanation:
Answer:
360 cubic cm
Step-by-step explanation:
((4*9)÷2)*20 = 36/2 *20 = 18*20 = 360 cubic cm
formula: ((base*height1)÷2)*height2
Maxine spent 15 hours doing her homework last week. This week she spent 18 hours doing homework. She says that she spent 120% more time doing homework this week. Is she correct? Show your work to justify your decision. (5 points) Your answer:
VOn a coordinate plane, 4 lines are shown. Line A B has points (negative 3, 2) and (3, 0). E F has points (0, negative 3) and (2, 3). Line J K has points (negative 3, negative 4) and (3, negative 2). Line M N has points (negative 1, 4) and (2, negative 5).
Which line is perpendicular to a line that has a slope
of Negative one-third?
line MN
line AB
line EF
line JK
Answer:
line EF
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals. Their product is -1. The given line has slope -1/3, so the line we are looking for has slope 3.
Slope AB (-3, 2), (3, 0)
m = (2 - 0)/(-3 - 3) = 2/(-6) = -1/3
Slope EF (0, -3), (2, 3)
m = (-3 - 3)/(0 - 2) = -6/(-2) = 3
Slope JK (-3, -4), (3, -2)
m = (-4 - (-2))/(-3 - 3) = -2/(-6) = 1/3
Slope MN (-1, 4), (2, -5)
m = (-5 - 4)/(2 - (-1)) = -9/3 = -3
The only line with slope = 3 is line EF.
Answer: line EF
Is 1270.8 cm significantly high?
A. No, because it is below the lower limit separating value.
B. Yes, because it is between the limits separating values.
C. No, because it is above the upper limit separating value.
D. No, because it is between the limits separating values.
E. Yes, because it is above the upper limit separating value.
F. Yes, because it is below the lower limit separating value.
To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb.
How do you identify the limits separating values that are significantly low or significantly high?To determine the boundaries separating numbers that are significantly low or significantly high, apply the range rule of thumb. Males had pulse rates with a mean of 69.6 beats per minute and a standard deviation of 11.3 beats per minute, according to Data Set 1 "Body Data" in Appendix B.
A limit exists a specific value to which a function approaches. Estimating a limit usually means finding what value y exists as x approaches a certain number.
Therefore, the correct answer is option A. No, because it is below the lower limit separating value.
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Write an inequality to express the fact that a checking account balance of $56 is less than a balance of $21. What is the difference in the balances?
Answer:
120
Step-by-step explanation:
Please help,I will give brainliest to correct answer!
the glass gauge on a cylindrical coffee maker shows there are 45 cups left when the coffee maker is 36% full. How many cups of coffee does it hold when its full?
Answer:
125 cups
Step-by-step explanation:
45 is 36% of what number?
45 = 0.36n
n = 45 / 0.36
n = 125
1 1/2 is what % of 7 1/2 and also 7 1/2 is what % of 1 1/2?
just need the 2nd
pls help! it urgent :
For the given expressions 1 1/2 is 20% of 7 1/2, and 7 1/2 is 500% of 1 1/2.
What are mixed fractions?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
In order to change a mixed fraction:
By denominator, divide the numerator.
Take the quotient as a whole number and use the remaining amount as the proper fraction's numerator while maintaining the original denominator.
Given that, 1 1/2 is what % of 7 1/2:
Converting into algebraic form we have:
1 1/2 = 7 1/2 (x/100)
Convert the mixed fractions to simple fractions:
3/2 = 15/2 (x/100)
3/2 = 15x/200
3/2 (200) = 15x
3(100) = 15x
x = 20
1 1/2 is 20% of 7 1/2.
Similarly, 7 1/2 is what % of 1 1/2.
Converting into algebraic form we have:
7 1/2 = 1 1/2 (x/100)
Convert the mixed fractions to simple fractions:
15/2 = 3/2 (x/100)
15/2 = 3x/200
15/2 (200) = 3x
15(100) = 3x
x = 500
Hence, 7 1/2 is 500% of 1 1/2.
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resuelve e indica las raices 2x ^2 - x - 3 - 5 = 0
Answer:
wwwwwwwwwwwwwwwwwwww
3. What do you think that negative distances and velocities could mean in this situation?
The negative is a direction going -5 on the x axis we still went five in distance.
What is the velocity?The term circular motion has to do with the motion of an object that is moving in a circular path. We all know that the velocity of an object that is undergoing circular motion is constant as it does not change from time to time.
we know that the direction of the velocity is always changing and as such we could regard the object that is undergoing circular motion as actually accelerating.
We are given that a tugboat taveled -1.5 miles in 0.3 hours. then its velocity is -5 miles per hour.
So here we can see that the velocity is negative. which shows the direction.
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Evaluate the expression 2 x y 2 − x 2 with knowns
x=2
y=5
Answer:
=6
Step-by-step explanation:
There are 2,100 bacteria in a circular petri dish. The dish has a radius of 40 millimeters. What is the approximate population density? (Use 3.14 for π)
Area of a circle = πr2
0.02 bacteria per square millimeter
0.42 bacteria per square millimeter
2.39 bacteria per square millimeter
52.5 bacteria per square millimeter
The approximate Population density in the circular petri dish with a radius of 40 millimeters and 2,100 bacteria is approximately 0.418 bacteria per square millimeter. After rounding up the bacteria becomes 0.42 per sq. meter hence the correct option is b
The approximate population density in the circular petri dish, we need to calculate the area of the dish and divide the total number of bacteria by that area.
The formula to calculate the area of a circle is: A = πr^2, where A represents the area and r is the radius.
In this case, the radius of the petri dish is given as 40 millimeters. Therefore, the area can be calculated as follows:
A = 3.14 * (40)^2
A = 3.14 * 1600
A ≈ 5024 square millimeters
Next, we divide the total number of bacteria (2,100) by the calculated area to find the population density:
Population density = 2,100 bacteria / 5024 square millimeters
Population density ≈ 0.418 bacteria per square millimeter
Therefore, the approximate population density in the circular petri dish is 0.418 bacteria per square millimeter.
in scientific calculations, it is customary to use the value of π as 3.14 for simplicity, even though it is an irrational number with a longer decimal representation.
When writing about scientific concepts or calculations, it is crucial to ensure academic integrity by avoiding plagiarism. This can be done by understanding and explaining the concepts in your own words, citing any external sources used, and providing accurate calculations based on the given information.
In conclusion, the approximate population density in the circular petri dish with a radius of 40 millimeters and 2,100 bacteria is approximately 0.418 bacteria per square millimeter. After rounding up the bacteria becomes 0.42 per sq. meter hence the correct option is b
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The temperature in Robbinsdale at 6AM was -8 degrees and increased by 15
degrees by noon. What was the temperature at noon?
Answer:
7 degrees
Step-by-step explanation:
-8 plus 15 is 7
Can u help me on these pleasee I only have 40 minutes left
The area of first compound shape is 121 square inches and the area of second one is 128 square inches.
What is Area of Rectangle?The area of Rectangle is length times of width.
1. The compound figure has a rectangle and a semicircle.
Area of rectangle=12×8
=96 square feet
Area of semicircle=πr²/2
=3.14×4²/2
=3.14×8=25.12 square feet.
Total Area =96+25.12
=121.12 square feet.
2.
Area of rectangle=8×13
=104 square feet.
Now there are two rectangles which has a height of (19-13)=6
Base of 4 inches.
Area of triangle=ab/2
=4×6/2
=12 square inches
As there are two right angle triangles.
2(12)=24
Now total Area is 24+104
128 square inches.
Hence, the area of first compound shape is 121 square inches and the area of second one is 128 square inches.
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if f(x)=3x-4 and g(x)=9x^2-16, find f o g and g o f
Given that f(x)=3x-4 and g(x)=9x^2-16.
The value of f o g can be obtained as follows:
\(\begin{gathered} f\circ g=f(g(x)) \\ =f(9x^2-16) \\ =3(9x^2-16)-4 \\ =27x^2-48-4 \\ =27x^2-52 \end{gathered}\)The value of g o f can be obtained as follows:
\(\begin{gathered} g\circ f=g(f(x)) \\ =9(3x-4)^2-16 \\ =9(9x^2-24x+16)-16 \\ =81x^2-216x+144-16 \\ =81x^2-216x+128 \end{gathered}\)Maria has $120. She plans to purchase a shirt for herself and gifts for 6 of her
friends. She plans to spend the same amount for each gift. Which of the
following inequalities best represents the maximum amount Maria can spend on
each gift? *
DONT say the answer is on some link that’s annoying.
hi can anyone solve and give a explaination plz? its for a friend
6.75
-2.25
----------
4.50
-2.25
----------
2.25
-2.25
----------
0.00
you could bowl 3 times (it starts off at 6.75 because I took away the cost of the shoes)