Cho surveyed a random sample of 60 students in the school's library about whether they read the newest magazine. Fifteen of the 60 students said they read the newest magazine. Cho determined that 360 students visit the library each day.
Based on the survey, how many of the 360 students can he expect to read the newest magazine?
Answers
Answer:
90 students.
Step-by-step explanation:
Given that Cho surveyed a random sample of 60 students in the school's library, of which 15 said they read the newest magazine, and that a total of 360 students attend the library every day, to determine how many of the 360 students can have expect to read the newest magazine the following calculation should be performed:
60 = 100
15 = X
15 x 100/60 = X
1,500 / 60 = X
25 = X
Thus, 25 percent of the students in the sample read the newest magazine. Since 25% of 360 is 90 (360 x 0.25), that is the number of students he can expect to have read the magazine.
Related Questions
Mackenzie has a 30 ounce soft drink. She drinks 28 ounces. Enter the percentage of ounces Mackenzie has left of her soft drink. Round your answer to the nearest hundredth.
Answers
Answer:
100
Step-by-step explanation:
30-28=100 if u round it to thr nearest hundreth because
30 2-2=0
- 18-8=10
-28
10 rounded to tye nearest hunderth is 100
} One number is 8 times another. When the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number. What are the numbers?
Answers
The numbers are 1 and 8.
We have,
Let's assume the lesser number as "x" and the greater number as "8x".
According to the given information, when the lesser number is subtracted from the greater, the result is 2 more than 5 times the lesser number:
8x - x = 5x + 2
Simplifying the expression:
7x = 5x + 2
Subtracting 5x from both sides:
2x = 2
Dividing both sides by 2:
x = 1
So, the lesser number is 1 and the greater number is 8 times that, which is 8.
Therefore,
The numbers are 1 and 8.
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There are seven members of a jazz club who are listed below. A concert director can choose some or all of them to be part of a large show. He must choose at
least one of them
Carol, Felix, Gina, Joe, Kate, Noe, Rose
In how many different ways can the director choose the members for the show? (The order the members are chosen doesn't matter.)
Answers
Who is involved in stimulus check please help me for my hw
Answers
Answer:
People who are involved in the stimi's are parents or employed parents. Parents are involved and get a certain amount of money depending how many kids they have under the age of 18. For the employed if you work in the military you get more then the rest of the other people employed who do different jobs.
Step-by-step explanation:
Hope this helps.
Figure M and it’s congruent image, figure N, are graphed on the coordinate plane below.
Describe a sequence of transformations that will take figure M onto its congruent image, figure N.
EXPLAIN THE ANSWER!!
Answers
The reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
As we can see in the graph there are two shapes are shown.
Figure M and Figure N
The sequence of transformations that will take figure M onto its congruent image, figure N is:
First, we need to draw a line that passes through (3, 0) and (0, -3)
The equation of the line is:
\(\rm y+3=\dfrac{\left(-3\right)}{-3}\left(x\right)\)
y + 3 = x
y = x - 3
The reflection over the above line will take figure M onto its congruent image, figure N.
Thus, the reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.
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Given A = {10, 11, 12, 13}, B = {10, 12, 14, 16}, and C = {7, 8, 9, 10, 11}, find
A ∪ B
A ∩ B
A ∪ C
A ∩ C
B ∪ C
B ∩ C
Answers
The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:
A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.
A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.
A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.
A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.
B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.
B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.
Finally, performing the remaining operations:
(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.
(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.
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How are triangleABC and triangle ADE related? How do you know pls explain.
Answers
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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Use this pattern when a binomial
can be written as the square of
one number minus the square of
another number.
4x² - 49 = (2x-7)(2x + 7)
a² + 2ab + b² = (a + b)²
Answers
The square of a binomial, when the binomials are subtracted, is defined as follows:
(a - b)² = a² - 2ab + b².
How to obtain the square of a binomial?When the two binomials are added, the square is given as follows:
(a + b)².
Expanding the square, we have that:
(a + b)² = (a + b) x (a + b).
(a + b)² = a² + ab + ab + b².
(a + b)² = a² + 2ab + b².
Which is the result presented in this problem.
Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:
(a - b)² = (a - b) x (a - b).
(a - b)² = a² - ab - ab + b².
(a - b)² = a² - 2ab + b².
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What is cos(tan^-1(-2/3))=
Answers
cos(tan^(-1)(-2/3)) simplifies to 3√13 / 13.
To evaluate the expression cos(tan^(-1)(-2/3)), we can use the trigonometric identity:
cos(tan^(-1)(x)) = 1 / √(1 + x^2)
In this case, x is -2/3. Substituting the value into the identity:
cos(tan^(-1)(-2/3)) = 1 / √(1 + (-2/3)^2)
Now, let's calculate the value:
cos(tan^(-1)(-2/3)) = 1 / √(1 + 4/9)
= 1 / √(13/9)
= 1 / (√13/3)
= 3 / √13
= 3√13 / 13
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Answers
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
PLEASE HELP WILL GIVE BRAINLIEST AND 100 POINTS!
Answers
No solution = The number of X's is the same on both sides of the solution and the constant is also the same
Infinite solution: The number of X's on both sides of the equation is different.
One solutions = The number of X's is the same on both sides of the equation and the constant is different.
What are the parts of an equation?The parts of an equation include the following:
terms, coefficients, exponent, arithmetic operator, equal sign and constants.This can be represented by the expression below:
4x + 5 = 28 + 2x
4 and 2 are the coefficients of letter X.
+ is the operation sign
X is the variable
5 and 28 are the constants.
When the number of X's is the same on both sides of the solution and the constant is also the same is would form no solution . That is 4x+3 = 4x + 3 = 0
When the number of X's on both sides of the equation is different an infinite solution is formed.
When the number of X's is the same on both sides of the equation and the constant is different, only one solution will be formed.
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Solve the system of linear equations by graphing.
y = –y equals negative StartFraction 5 over 2 EndFraction minus 7.x – 7
x + 2y = 4
What is the solution to the system of linear equations?
(–4.5, 4.25)
(–1.7, –2.8)
(0, –7)
(3, 0.5)
Answers
Answer:
The Answer is A
Step-by-step explanation:
Just Did the Assignment
Instructions : integrate the following
Answers
You can simplify the integrand:
\(\dfrac{3x^2+4x+1}{2x}=\dfrac{3x}2+2+\dfrac1{2x}\)
Then integrate term-by-term:
\(\displaystyle\int\frac{3x^2+4x+1}{2x}\,\mathrm dx=\frac32\int x\,\mathrm dx+2\int\mathrm dx+\frac12\int\frac{\mathrm dx}x\)
\(=\dfrac{3x^2}4+2x+\dfrac12\ln|x|+C\)
The water usage at a car wash is modeled by the equation W(x) = 5x3 + 9x2 − 14x + 9, where W is the amount of water in cubic feet and x is the number of hours the car wash is open. The owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. The amount of decrease in water used is modeled by D(x) = x3 + 2x2 + 15, where D is the amount of water in cubic feet and x is time in hours. Write a function, C(x), to model the water used by the car wash on a shorter day. C(x) = 5x3 + 7x2 − 14x − 6 C(x) = 4x3 + 7x2 − 14x + 6 C(x) = 4x3 + 7x2 − 14x − 6 C(x) = 5x3 + 7x2 − 14x + 6
Answers
W(x) - C(x) = 2(W(x) - C(x))
Solving this equation for C(x), we get:
C(x) = (W(x) - 2W(x))
= W(x)(1 - 2)
= (5x3 + 9x2 - 14x + 9)(1 - 2)
= (5x3 + 7x2 - 14x + 6)
Therefore, the function C(x) to model the water used by the car wash on a shorter day is:
C(x) = (5x3 + 7x2 - 14x + 6)
In a medical study, adult patients were randomly chosen and classified by obesity and hypertension. The results are summarized in the contingency table below.
Hypertension by Obesity Level
Obesity Level
Hypertension Low Average High
Yes 34 30 51
No 119 99 82
a) What is the probability of an adult having hypertension?
b) What is the probability of an adult having hypertension and being classified as a low level of obesity?
c) What is the probability of an adult having hypertension given he/she is classified as a high level of obesity?
d) What is the probability of an adult being classified as a high or average level of obesity?
e) If an adult has hypertension, what is the probability that he/she also has a high level of obesity?
f) Are an adult's hypertension status and obesity categorization independent
Answers
The probability of an adult having hypertension is 0.344 and an adult having hypertension and being classified as a low level of obesity is 0.102, having hypertension given he/she is classified as a high level of obesity is 0.540. If an adult has hypertension, the probability that he/she also has a high level of obesity is 0.444.
What is Probability?Probability is a branch of mathematics that deals with the likelihood of an event occurring. It is the measure of the likelihood of an event occurring divided by the number of possible outcomes. Probability is used to determine the chances of a particular outcome occurring and can range from 0 to 1.
a)The probability of an adult having hypertension is (34 + 30 + 51) / (34 + 30 + 51 + 119 + 99 + 82) = 115 / 334 = 0.344.
b) The probability of an adult having hypertension and being classified as a low level of obesity is 34 / (34 + 30 + 51 + 119 + 99 + 82) = 34 / 334 = 0.102.
c) The probability of an adult having hypertension given he/she is classified as a high level of obesity is 51 / (30 + 51 + 82) = 51 / 163 = 0.312.
d) The probability of an adult being classified as a high or average level of obesity is (30 + 51 + 99) / (34 + 30 + 51 + 119 + 99 + 82) = 180 / 334 = 0.540.
e) If an adult has hypertension, the probability that he/she also has a high level of obesity is 51 / (34 + 30 + 51) = 51 / 115 = 0.444.
f) No, an adult's hypertension status and obesity categorization are not independent. This is because the probability of an adult having hypertension given he/she is classified as a high level of obesity (0.312) is not the same as the probability of an adult having hypertension (0.344).
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Fill in the missing values below one at a time to find the quotient when x^3 - x^2 - 3x + 2 is divided by x - 2.
Answers
Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.
To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:
Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²
Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.
Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.
Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.
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ASAP HW HELP
if you don’t know answer don’t even comment
Answers
Answer:
y = 1/4 x - 1 (y = 0.25 x - 1)
Step-by-step explanation:
x intercept: (4 , 0)
y intercept: (0 , -1)
rise: 1
run: 4
slope: rise/run = 1/4
equation: y = mx + b m=1/4 b = -1
y = 1/4 x - 1
A team of runners is needed to run a 1/2 -mile relay race. If each runner must run 1/4
mile, how many runners will be needed?
Answers
Answer:
2
Step-by-step explanation:
1/4 + 1/4 = 1/2
The eyes of a student standing at the edge of a platform are 8 ft above the ground. She sees a wallet on the ground at an angle of depression of 32°. About how far away from the base of the platform is the wallet?
A.4.2 ft
B.12.8 ft
C.5.0 ft
D.15.1 ft
Answers
The wallet is about 12.8 feets away from the base of the platform.
Angle of depressionusing trigonometric function , the angle of depression can be obtained using the tangent relationship.
The tangent can be mathematically related using the ratio of the opposite and adjacent side.
Tan(A) = opposite/Adjacent
tan(32°) = 8/x
Solving for x, we get:
x = 8/tan(32°)
x = 12.8 feet
Hence , the wallet is about 12.8 feet away from the base of the platform.
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Function g is a transformation of function f.
What is the equation of function g? I need help please . ASAP.
Answers
Answer:
Solution given:
function of g(x)=?
when
x=0
y=3
so
g(x)=-3f(x) is a function of g.
Let
y=f(x)Face changed to opposite means coefficient is negative
y=-f(x)Streched by 3 [-6/-2=3]
y=-3f(x)If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11? (In fraction form)
Answers
The expression that can be used to find the value of y when x is 11 is y = (198/5) in fraction form.
If y varies directly as x, it means that y and x are proportional to each other. We can write this relationship as y = kx, where k is the constant of variation.
To find the value of y when x is 11, we need to determine the value of k. We can use the given information that when x is 5, y is 18.
Substituting these values into the equation, we get:
18 = k * 5
To find the value of k, divide both sides of the equation by 5:
k = 18/5
Now that we have the value of k, we can use the equation y = kx to find the value of y when x is 11.
Substituting x = 11 and k = 18/5 into the equation, we get:
y = (18/5) * 11
Simplifying the expression, we have:
y = (198/5)
Therefore, the expression that can be used to find the value of y when x is 11 is y = (198/5) in fraction form.
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Is this correct or incorrect …..
Answers
A zero has the same meaning as the vertex.
What is a vertex?The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.
The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.
Thus, a zero has the same meaning as the vertex.
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Carrie bought 3 watermelons for a school picnic. She used 7/8 of a watermelon for one class and 1 1/5 watermelons for another class. How much watermelon does Carrie have left for the last class? Show your work.
Answers
3 - (7/8 + 1 1/5) = 37/40
Answer: 37/40 watermelon
Help please!!!!!!!!!!!!!!
Answers
Answer:
Negative
Step-by-step explanation:
Slope is negative since as x increases, y decreases.
Find the area of the triangle
Answers
Answer:
Step-by-step explanation:
The formula for the area of a triangle is base*height divided by 2. Remember this because itll be important for everything you do in math relating to geometry and calculus. Assuming you go that far
\(\frac{base*height}{2} =\frac{14*8}{2} =\frac{112}{2} = 56 units^2\)
Answer:
A =56 units^2
Step-by-step explanation:
The area of a triangle is given by
A =1/2 bh where 14 is the base and 8 is the height
A = 1/2 (14)8
A =56 units^2
answer this math question
Answers
The table in this problem is completed as follows:
8 pints for 1 gallon.40 pints for 5 gallons.64 pints for 8 gallons.What is a proportional relationship?A proportional relationship is a type of relationship between two quantities in which they maintain a constant ratio to each other.
The equation that defines the proportional relationship is given as follows:
y = kx.
In which k is the constant of proportionality, representing the increase in the output variable y when the constant variable x is increased by one.
The constant for the relationship is:
k = 16/2
k = 8.
Hence the equation is:
y = 8x.
In which:
x is the number of gallons.y is the number of pints.Then the numeric values are:
x = 1, y = 8 x 1 = 8.x = 5, y = 8 x 5 = 40.x = 8, y = 8 x 8 = 64.More can be learned about proportional relationships at https://brainly.com/question/7723640
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Henry plans to buy Pepsee for people to drink at his birthday party. The grocery store has a sale
in which the first liter of Pepsee costs $3, and every liter that is bought after that costs $1.50.
Henry has $9 to spend.
What is the maximum number of liters Henry can buy? 4 liters
4.67 liters
5 liters
6 liters
Answers
Answer:4,67
Step-by-step explanation:
A business purchases two units at $50 each and later purchases three more at $60 each. shortly after, one is sold.what is the cost of the inventory remaining under theFIFO method?A. $220B. $234C. $230D. $224
Answers
First In, First Out (FIFO) is an accounting method in which assets purchased or acquired first are disposed of first. It assumes that the remaining inventory consists of items purchased last.
From the question, there are a total of 5 items in the inventory. The first purchase price for 2 items was $50, while the other 3 were purchased at $60 per item.
If one item is sold, under the FIFO method, it was sold for $50. Therefore, the remaining items in the inventory are 1 $50 item and 3 $60 items.
Therefore, the cost will be:
\(\Rightarrow50+3(60)=50+180=\$230\)OPTION C is the correct option.
estimate or predict some of the population parameters or conduct hypothesis tests for some of the population parameters.
Answers
"Parameter" is the descriptive measure of the population. The description, that if the data refuses the assumption of a parameter is the main goal of the tests of hypothesis.
There are many population parameters. Some examples of the population parameters include:
The mean of the body weight of a population.The mean of the height of the population.The size of the populationThe mean of the diastolic blood pressure of a population.The health related behaviorsthe percentage of people smoking in a population, etc.In general, it is not possible to measure the parameters of a population, as it requires to collect information from each and every member of the population. That is why, 'sample statistics' is conducted.
What is a sample statistics?
In sample statistics, samples are collected from each and every aspect of the population and then the samples are tested in order to derive a conclusion. For example: the mean diastolic blood pressure of more than one sample, the mean body weight of more than one population, etc.
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Please help I’m giving brainliest!
Answers
=================================================
Explanation:
Label the center point of the circle as point G.
Also, label the top and bottom tangent points as H and J respectively. This means that H is on line segment ED, while J is on line segment EF.
The given arc measure of 100 degrees directly leads to the central angle HGJ to be 100 degrees.
Focus on quadrilateral EHGJ. It has two right angles at points H and J since they are tangent points. Angle G of this quadrilateral was found to be 100. Let's find angle E
E+H+G+J = 360 ..... any four angles of a quadrilateral add to 360
E+90+100+90 = 360
E+280 = 360
E = 360-280
E = 80
Or as a shortcut, we can note that angles E and G must add to 180, since H+J = 90+90 = 180, making up half of 360.
So, E+G = 180 leads to E+100 = 180 which solves to E = 80.
Once we know that E = 80, this leads to angle DEF to be 80 degrees.
This is an inscribed angle that subtends arc DF. By the inscribed angle theorem, we double the inscribed angle value to get the arc measure
arc DF = 2*(inscribed angle DEF)
arc DF = 2*(80)
arc DF = 160 degrees