Penny reads 11 pages in 1/3 hour. What is the unit rate for pages per hour? For hours per page?
Answer: 33
Step-by-step explanation:
Answer:
33 pages per hour
Step-by-step explanation:
1. To solve for how many pages Penny can read in one hour, we need to write a ratio of pages to hours.
\(11: 1/3 = x : 1\)2. Now, 1/3 goes into one, three times. This means that 11 goes into x, three times. We can write "11 goes into x, three times" as: \(\frac{x}{11} =3\).
3. (Solving x/11 = 3)
Step 1: Multiply both sides by 11
\(\frac{x}{11}*11=3*11\) \(x = 33\)Therefore, Penny read 33 pages per hour.
the population proportion of college students that stated, if given a choice, they would prefer to start their own business rather than work for someone else is 72%. assume you collected a random sample of 100 students and 78 stated they would prefer to start their own business rather than work for someone else, what is the sample proportion? (give your answer as a decimal and round to two decimal places.)
78% of the students in the sample stated they would prefer to start their own business rather than work for someone else.
The sample proportion is a statistic that measures the proportion of individuals in a sample who have a particular characteristic of interest. In this case, we are interested in the proportion of college students who stated they would prefer to start their own business rather than work for someone else.
The sample proportion can be calculated as the number of individuals in the sample who have the characteristic of interest (in this case, preferring to start their own business) divided by the total number of individuals in the sample. Using the information provided in the question, we have:
Number of individuals in the sample who prefer to start their own business: 78
Total number of individuals in the sample: 100
So the sample proportion is:
sample proportion = 78/100 = 0.78
Rounding this to two decimal places, we get:
sample proportion ≈ 0.78
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What is the equation of the line that passes through the point (-5,-3)and has a slope of -3/5 ?
Answer: y = -3/5x - 6
Step-by-step explanation:
There are a few equations that can be used for this, but the simplest one would be y = mx + b
We are given:
y = -3
m = -3/5 (slope)
x = -5
b = ?
Our equation is this, we are solving for b
==> -3 = -3/5 ( -5) + b
==> -3 = -3/5 ( -5) + b ( multiply the brackets)
==> -3 = 3 + b ( subtract 3 to both sides)
==> -6 = b
Now we can make the desired equation in slope intercept form;
y = -3/5x - 6
Hope this helped! Have a great day :D
The perimeter of a rectangular field is 358 m.
If the width of the field is 84 m, what is its length?
Answer:
95m
Step-by-step explanation:
So to work this out you times 84 by 2 which is 168 (84×2) and then take away 168 from 358 which is 190 (358-168). Then divide 190 by 2 which is 95 (which is the the length/Answer)
(84+84+95+95=358)
In circle Q with the measure of minor arc ⌢ = 6 0 ∘ , PR ⌢ =60 ∘ , find m ∠ P S R . m∠PSR
Answer:n circle Q with the measure of minor arc ⌢ = 6 0 ∘ , PR ⌢ =60 ∘ , find m ∠ P S R . m∠PSR - 16846452.
Step-by-step explanation:mark me as brainest please
What is 254, 920 rounded to the nearest ten thousand?
250,000
O 254,000
O 255,000
260,000
Answer: the 3rd one
Step-by-step explanation:
Answer:
255,000
Step-by-step explanation:
if we look there is already 254,000 so now we look at the hundreds place.
In the hundreds place there is 920 witch is closer to 1,000
so 254,000 plus 1,000 is 255,000
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what percent of 30 is 75
Answer:
40
_________________
Perform the indicated operation.
Please!!
Answer:
Second one is the Correct answer
I need help with these questions ♂️ please ?
cba
Step-by-step explanation:
first first one to see second one is b last one is a
how to find domain and range of a radical function
Domain of the radical function of the form f(x) = √(ax + b) + c is given by the solution of the inequality ax + b ≥ 0 and the range is the all possible values obtained by substituting the domain values in the function.
We know that the general form of a radical function is,
f(x) = √(ax + b) + c
The domain is the possible values of x for which the function f(x) is defined.
And in the other hand the range of the function is all possible values of the functions.
Here for radical function the function is defined in real field if and only if the polynomial under radical component is positive or equal to 0. Because if this is less than 0 then the radical component of the function gives a complex quantity.
ax + b ≥ 0
x ≥ - b/a
So the domain of the function is all possible real numbers which are greater than -b/a.
And range is the values which we can obtain by putting the domain values.
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2
4
3
Which of the angle pairs can be classified as vertical angles?
O 1 and 22
O 2 and 24
O 3 and 22
O 4 and 21
O 3 and 21
Answer:
2 and 24...............
Please help I WILL GIVE BRAINLIEST
Answer:
\(\triangle{XAZ} \cong \triangle{XBY}\) by the SAS postulate (side-angle-side)
Step-by-step explanation:
This is an overlapping triangles problem. Try drawing them separately, essentially pulling them apart. Mark side XY and XZ as congruent (given).
Angle X is shared by the two triangles, so angle X in triangle XAZ is congruent to angle A in triangle XBY.
The distance between two cities is 450 miles. On a map, they are 9 inches apart. What is the scale of the map?
Answer:
1 inch=50 miles
Step-by-step explanation:
450÷9=50
Let R be the region bounded by the graphs of y = x and y= e 22 and the line x = 1. Find the volume of the solid generated when R is revolved about the line y=1.
A. 0.339 B. 1.067 C. 0.453 D. 1.424
the volume of the solid generated when the region R, bounded by the graphs of y = x, y = e^2, and the line x = 1, is revolved about the line y = 1, is approximately 0.339 cubic units (option A).
To find the volume, we will use the method of cylindrical shells. Each cylindrical shell is formed by rotating a vertical strip of the region about the axis of rotation (y = 1). The height of each shell is the difference between the upper and lower curves, which is (e^2 - x). The radius of each shell is the distance between the axis of rotation (y = 1) and the y-coordinate, which is (1 - x).
Integrating the volume element 2π(1 - x)(e^2 - x) dx from x = 0 to x = 1, we can calculate the total volume. Evaluating this integral gives us an approximate volume of 0.339 cubic units. Therefore, the correct option is A.
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17. Which statement is NOT true?
If x²= 100, then x = 10.
If x=10, then x² = 100.
If x=-10, then x² = 100.
x² = 100 if and only if x = 10 or x = -10.
The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."
The statement that is NOT true is:
If x = -10, then x² = 100.
The other three statements are all true:
If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.
If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.
This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.
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4. A set of exam marks has mean 70, median 65, inter-quartile range 25 and SD 15 marks. It is decided to subtract 10 from all the marks. For the new set of marks, a) what is the mean? b) what is the m
If the inter-quartile range is 25 and SD 15 marks then For the new set of marks, a) the mean is 60, b) the median is 55.
By subtracting 10 from all the marks, we shift the entire distribution downward by 10 units. Since the mean represents the average value, subtracting 10 from each mark will decrease the mean by 10. Therefore, the new mean is 70 - 10 = 60.
The median represents the middle value in a sorted list of marks. Since we only subtract a constant value, the order of the marks remains unchanged, and the relative positions of the marks do not shift. Thus, subtracting 10 from all the marks will also decrease the median by 10. Therefore, the new median is 65 - 10 = 55.
It is important to note that subtracting a constant from all the marks does not affect the interquartile range (IQR) or the standard deviation (SD) because these measures are based on the relative positions and deviations of the marks rather than their absolute values.
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the questionnaire is a carefully constructed measurement instrument. group of answer choices true false
Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.
A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.
Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.
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The acceleration of a particle moving along a straight line is given by a = 6t. If, when t = 0, its velocity, v, is 1 and its position, s, is 3, then at any time t: A) s=t^3+3 B) s= t^3 +3t+1 C) s=t^3+t+3 D) s=t^3/3 +t+3 E) s = t^3/3+t^3/2+3
The acceleration of a particle moving along a straight line is given by a = 6t. If, when t = 0, its velocity, v, is 1 and its position, s, is 3, then at any time t: s = t³ + t + 3. The correct answer is C.
We know that acceleration is the derivative of velocity and velocity is the derivative of position. So, integrating the given acceleration a = 6t with respect to time we get, v = 3t² + C1 where C1 is a constant of integration.
Given that when t = 0, v = 1, so substituting these values in the above equation, we get 1 = 3(0)² + C1, which implies C1 = 1.
Now, integrating the velocity v = 3t² + 1 with respect to time we get, s = t³ + t + C2 where C2 is a constant of integration.
Given that when t = 0, s = 3, so substituting these values in the above equation, we get 3 = 0³ + 0 + C2, which implies C2 = 3.
Therefore, the position of the particle at any time t is given by s = t³ + t + 3.
Hence, the correct option is (C) s = t³ + t + 3.
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day 2 on still being stuck on this... this is due on Friday lol so please help 3
Answer:
It's 17
Step-by-step explanation:
1. 15 squared is 225
2. 8 squared is 64
3. 225+64=289
4. find the square root of 289
5. 17 is because when you square 17, you get 289.
P.S mark ar brainliest, rate 5 stars and hit that thanks button.
HII SOMEONE HELPPP PLEASE ‼️‼️‼️
Answer:
Step-by-step explanation:
Fame age be x and sister's age = y
Five years ago:
Fame's age = x - 5
His sister's age = y -5
\(x -5 =\dfrac{1}{6}*(y-5)\\\\\)
Multiply the entire equation by 6
\(6*(x-5)=6*\dfrac{1}{6}(y-5)\\\)
6x- 6*5 = y-5
6x - 30 = y - 5
6x -30 + 5 = y
y = 6x - 25--------------(I)
Three year after:
Fame's age = x + 3
His sister's age = y + 3
2*(x +3) = y + 3
2x + 6 = y + 3
2x + 6 -3 = y
y = 2x + 3 -------------(II)
Substitute y = 6x - 25 in equation (II)
6x - 25 = 2x + 3
Add 25 to both sides
6x = 2x + 3 + 25
6x = 2x + 28
Subtract 2x from both sides
6x - 2x = 28
4x = 28
Divide both sides by 4
x = 28/4
x = 7
Substitute x = 7 in equation (I)
y =6x - 25
y = 6*7 - 25
= 42 - 25
y = 17
Fame's age = 7 years
His sister's age = 17 years
4) Let the distance between X and Y be D
Time take by Wie = distance÷ speed
\(= \dfrac{D}{75}\)
Time taken by Wary = distance ÷ speed
\(=\dfrac{D}{80}\)
Time difference = 10 minutes.
As Wary drives in high speed that Wie, he takes less time
\(\dfrac{D}{75}-\dfrac{D}{80}= \dfrac{10}{60}\\\\\)
LcM = 1200
\(\dfrac{16D}{75*16}-\dfrac{15D}{85*15}=\dfrac{1}{6}\\\\\\\dfrac{16D-15D}{1200}=\dfrac{1}{6}\\\\\\\dfrac{D}{1200}=\dfrac{1}{6}\\\\\\D=\dfrac{1}{6}*1200\\\\\\\)
D = 200 Km
The Mae takes the _________ values of the forecast errors to ensure they don't cancel each other out.
The Mae takes the absolute values of the forecast errors to ensure they don't cancel each other out.
By considering only the magnitude of the errors, the MAE (Mean Absolute Error) provides a measure of the average deviation between forecasts and actual values.
To ensure that forecast errors don't cancel each other out, the Mean Absolute Error (MAE) calculation involves taking the absolute values of the errors. The MAE is a commonly used metric to measure the accuracy of a forecasting model.
Forecast errors represent the differences between predicted values and actual values. These errors can be positive or negative, depending on whether the forecast overestimates or underestimates the actual value. By taking the absolute values, the direction of the error is disregarded, and only the magnitude of the deviation is considered.
By summing up the absolute values of all the forecast errors and dividing by the number of observations, the MAE provides an average measure of how far the forecasts deviate from the actual values. It allows for the evaluation of the average absolute magnitude of the errors without considering their direction.
In summary, the Mean Absolute Error (MAE) takes the absolute values of the forecast errors to ensure they don't cancel each other out. This approach allows for a measurement of the average deviation between forecasts and actual values by considering only the magnitude of the errors.
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The volume of a sphere with a diameter of 6cm, rounded to the nearest tenth
Answer:
113.1 cm³
Step-by-step explanation:
diameter = 2 X radius
Volume of sphere = (4/3) X π X r ³
= (4/3) π (3)³
= 36π
= 113.1 cm³ to nearest tenth
The product of twice a number and four is the same as the difference of seven times the number and 5/3
Answer:
2N÷4=7N-5/3
Hope this helps!
A store advertises a 20% markdown on a dishwasher that normally sells for $952. a. Find the price on sale. b. The markdown is the greatest possible without the store losing money. What does this tell you about the store’s cost?
Answer:
a. $761.60
b. The store bought the dishwasher for the price they are currently selling it at. They are receiving no profit when it is on sale.
Step-by-step explanation:
give brainliest pls
If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that the Sales price = $952
Markdown % = 20%
The Sales price = (100 - 20)% x $952
The Sales price = 80% x $952
The Sales price = $761.60
If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60
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A scale drawing of a school bus has a scale of 12 inch to 5 feet. If the length of the school bus is 412 inches on the scale drawing, what is the actual length of the bus? Explain or show your reasoning.
Answer:
actual length = 171.67 ft.
Step-by-step explanation:
scale of school bus drawing is 12 in. to 5 ft.
if the length of a school bus drawing is 412 in.
5 ft
the actual length is = 412 in x --------
12 in
actual length = 171.67 ft.
The required actual length of the bus is 171.7 feet.
Given that,
A scale drawing of a school bus has a scale of 12 inches to 5 feet.
The length of the school bus is 412 inches on the scale drawing,
To determine the actual length of the bus.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
here,
Scale given,
12 inches = 5 feet
1 inch = 5 / 12 feet
Now on the drawing, the length of the bus is 412 inches,
Now,
the actual length of the bus is,
= 412 * 5 / 12
= 171.7 feet
Thus, the required actual length of the bus is 171.7 feet.
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BRO PLEASE HELP!! D:
Answer:
460 minutes
$87.40
Step-by-step explanation:
Let m = number of minutes.
Plan A:
cost = 0.14m + 23
Plan B:
cost = 0.19m
0.19m = 0.14m + 23
0.05m = 23
m = 460
The two plans cost the same for 460 minutes.
cost = 0.19m
cost = 0.19(460)
cost = 87.4
Their cost is $87.40.
A can of beans has the same mass as two cans of sausage. Two cans of beans and a can of sausage has a mass of 800 g. What is the mass of 3 cans of beans and 2 cans of sausage? (30 points
The mass of 3 cans of beans and 2 cans of sausage is 1280 grams
What is the mass of 3 cans of beans and 2 cans of sausage?The first step is to calculate the mass of a can of beans and sausage.
The second step is to form a system of equation using the information provided in the question:
b = 2s equation 1
2b + s = 800 equation 2
Where:
b = cost of one can of beans
s = cost of one can of sausage
The substitution method would b used to solve the system of equations:
Substitute for b in equation 2 using equation 1:
2(2s) + s = 800
4s + s = 800
5s = 800
s = 800 / 5
s = 160
Now determine the cost of one can of beans by substituting for s in equation 1 :
b = 2 x 160
b = 320
Mass of 3 cans of beans and 2 cans of sausage = (3 x 320) + (2 x 160)
960 + 320 = 1280 grams
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Suppose that an ounce of gold costs 15 U.S. dollar and 14.3028 Italian lira. An ounce of silver costs 0.7302 Italian lira and 0.1605 Swiss francs. How much Swiss franc can a U.S. dollar buy?
a. 0.23
b. 0.30
c. 0.11
d. 0.21
A U.S. dollar can buy approximately 0.21 Swiss francs (rounded to two decimal places). Thus, the answer is option d) 0.21.
To determine how much Swiss francs a U.S. dollar can buy, we need to use the given exchange rates between different currencies.
Given:
1 ounce of gold costs 15 U.S. dollars and 14.3028 Italian lira.
1 ounce of silver costs 0.7302 Italian lira and 0.1605 Swiss francs.
Let's calculate the exchange rate between the U.S. dollar and the Swiss franc using the given information:
1 ounce of silver = 0.7302 Italian lira
1 ounce of silver = 0.1605 Swiss francs
To find the exchange rate between the Italian lira and the Swiss franc, we can divide the price of 1 ounce of silver in Swiss francs by the price of 1 ounce of silver in Italian lira:
Exchange rate: 0.1605 Swiss francs / 0.7302 Italian lira
Simplifying this, we get:
Exchange rate: 0.2199 Swiss francs / 1 Italian lira
Now, let's find the exchange rate between the U.S. dollar and the Italian lira:
1 ounce of gold = 15 U.S. dollars
1 ounce of gold = 14.3028 Italian lira
To find the exchange rate between the U.S. dollar and the Italian lira, we can divide the price of 1 ounce of gold in Italian lira by the price of 1 ounce of gold in U.S. dollars:
Exchange rate: 14.3028 Italian lira / 15 U.S. dollars
Simplifying this, we get:
Exchange rate: 0.9535 Italian lira / 1 U.S. dollar
Finally, to find how much Swiss francs a U.S. dollar can buy, we multiply the exchange rate between the U.S. dollar and the Italian lira by the exchange rate between the Italian lira and the Swiss franc:
Exchange rate: 0.9535 Italian lira / 1 U.S. dollar * 0.2199 Swiss francs / 1 Italian lira
Simplifying this, we get:
Exchange rate: 0.2099 Swiss francs / 1 U.S. dollar
Therefore, a U.S. dollar can buy approximately 0.21 Swiss francs (rounded to two decimal places). Thus, the answer is option d) 0.21.
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Determine what type of model best fits the given stituation. Water leaking from a local reservoir at the rate of 500 gallons per hour.
Answer:
Well, in the local reservoir we have an initial amount of water A.
And per hour, the amount of water in the reservoir decreases by 500 gals.
So after t hours, the amount of water in the reservoir is:
W = A - 500gal*t
This is a linear equation, so the model that fits best in the given situation is a linear model.
Where the only thing that you need to take in mind, is that the domain of this model is restricted:
This is because we can not have a negative amount of water in the reservoir, so the maximum value of t accepted is:
W = 0 = A - 500gal*t
t = A/500 hours
So the domain of this linear relation is:
t ∈ {0h, A/500 }
Answer: lin
Step-by-step explanation:
A resort hotel has 260 guests. On one day, 6 groups of 13 guests leave to shop and 2 groups of 6 guests go sightseeing. Evaluate 260−(6×13)−(2×6) to find the number of guests that are left at the hotel.
Answer:
170
Step-by-step explanation: