Answer:
7/5
Step-by-step explanation:
1/2 + 1/5
probability that at least one of the two students fail is 7/5
Determine the relative frequency for the third class as a simplified fraction
GIVEN:
We are given a frequency distribution table showing different classes of hours of study and the frequency of each class of data.
Required;
To determine the relative frequency for the third class
Step-by-step solution;
For a relative frequyency, we need to find the number of times an event occurs and express it as a fraction of the total events that occured in the survey/experiment.
The events in this case are hours of study and the occurrence is the total frequency for all classes of hours of study.
The total frequency is;
[tex]3+10+6+15+6=40[/tex]The relative frequency for the third class therefore would be;
[tex]\begin{gathered} Relative\text{ }Frequency_3=\frac{6}{40} \\ \\ Relative\text{ }Frequency=\frac{3}{20} \end{gathered}[/tex]ANSWER:
The relative frequency of the third class therefore is
[tex]\frac{3}{20}[/tex]Morgan can make 4 cupcakes with 1 cup of flour. How many cupcakes can she make with 18 cups of flour?
Answer: She can make 72 cupcakes.
Step-by-step explanation:
2 ÷ 125.1
Round the answer to 3 decimals
Graphs present information to the reader
True
False
Answer:True
Step-by-step explanation:Graphs show information about information about the topic you are reading\researching so true they show you a lot of info on the topic.
Answer:True
Step-by-step explanation:Graphs show information about information about the topic you are reading\researching so true they show you a lot of info on the topic.
1. Graph the system of constraints and find the value of x and y that maximize the objective function.
Constraints { x ≥ 0; y ≥ 0; y ≤ 1/5 x + 2; 5 ≥ y + x
Objective Function: C = 7x - 3y
A. (0, 0)
B. (2, 3)
C. (5, 0)
D. (0, 3)
The point in the feasible region maximizes the objective function is (5, 0)
How to determine the feasible region?The given parameters are
Objective function: C = 7x - 3y
Subject to (i.e. the constraints)
x ≥ 0, y ≥ 0
y ≤ 1/5x + 2, 5 ≥ y + x
Next, we plot the graph of the constraints (see attachment)
This is done by entering the inequalities in a graphing calculator
From the graphing calculator, we have the feasible regions to be
(5, 0), (2.5, 2.5) and (0, 5)
Substitute (5, 0), (2.5, 2.5) and (0, 5) in the objective function: C = 7x - 3y
So, we have
(5, 0): C = 7(5) - 3(0)
C = 35
(2.5, 2.5): C = 7(2.5) - 3(2.5)
C = 10
(0, 5): C = 7(0) - 3(5)
C = -15
The value 35 is greater than 10 and -15
The coordinates at this value are (5, 0)
Hence, the coordinates is (5, 0)
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How do you find average speed from aHow do you find average speed from a distance time graph?\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\ distance time graph?
An average speed can be calculated from a distance time graph through the division is change in distance and change in its corresponding time.
What is distance time graph?A distance time graph is a type of graph that show the distance covered by an object with respect to time.
When plotting a distance time graph, the distance is plotted in the y-axis while time is plotted of the X -axis and a suitable scale of used to fill in the observed figures.
Speed is the product of distance travelled by an object with respect to its time. Therefore, an average speed can be calculated through the division is change in distance and change in its corresponding time.
That is ; average speed= ∆speed/∆ time
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A box of cereal states that there are
78 calories in a
3
4
-cup serving. What is the unit rate for calories per cup? How many calories are there in
4 cups of the cereal?
The unit rate for the cereal is 104 calories per cup and there are 416 calories in 4 cups
How to determine the unit rate for the cereal?From the question, the given parameters are
Calories = 78 calories
Size of cups = 3/4-cup
The unit rate of the calories per cup is calculated as
Unit rate = Number of Calories/Size of cup
Substitute the known values in the above equation
So, we have the following equation
Unit rate = 78/(3/4)
Evaluate the quotient
So, we have the following equation
Unit rate = 104
So, the unit rate is 104 calories per cup
For four cups of cereal, we have
Calories = 104 x 4
Evaluate
Calories = 416
So, the number of calories is 416 calories
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to
low
ing
Guess my number.
My number is a 2-digit number.
It is multiple of 5 but not a multiple
of 10.
It has an odd tens digit.
The digit total is less than 10.
What is my number?
Answer:60 and 80
Step-by-step explanation:
what is the median of this data set?[13,13,13,15,15,16,16,17,17]
Given the following data set:
[13,13,13,15,15,16,16,17,17]
Let's determine the median.
Step 1: Arrange the data points from smallest to largest.
The set is already arranged in ascending order.
[13,13,13,15,15,16,16,17,17]
Step 2:
a.) If the number of data points is odd, the median is the middle data point in the list.
b.) If the number of data points is even, the median is the average of the two middle data points in the list.
There are 9 data in the set, it is odd. The middle data is the 5th data.
[13,13,13,15,15,16,16,17,17]
The 5th data is 15.
Therefore, the median of the given set of data is 15.
What is the absolute value of -6? Use the number line to help answer the question.
-6
07
6543210
st
4+
3+
2+
7777777
Answer:
your answer is in the screenshot
Step-by-step explanation:
Which of the following is a disadvantage of using a check casher, compared to a bank?
Responses
You wait longer to get your money at a check casher than at a bank
You wait longer to get your money at a check casher than at a bank
You pay a higher fee to cash checks at a check casher than at a bank
You pay a higher fee to cash checks at a check casher than at a bank
You can only cash checks worth more than $500 at a check casher
You can only cash checks worth more than $500 at a check casher
You can cash fewer checks at a check casher than at a bank
The main disadvantage of using a check cashier is that, 'You pay a higher fee to cash checks at a check casher than at a bank'
Check casher;
A check casher is someone who works in the check-cashing industry, with the exception of someone who doesn't cash checks for others on any one day that total more than $1,000 in cash, money, or other assets.
Disadvantage of Check cashers;
Fees for cash checking services can be as low as $1 or as much as 2% of the check amount depending on where you are. These costs reduce one's capacity to make ends meet or have extra money available. Always be aware of the prices and fees before using a check cashing service.
That is,
The main disadvantage of using a check cashier is that, 'You pay a higher fee to cash checks at a check casher than at a bank'
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The measures of the interior angles of four regular polygons are shown below. Which expression best represents the measure in degrees of the interior angle of a regular polygon having n sides?
ANSWER
[tex]\frac{180(n-2)}{n}[/tex]EXPLANATION
We want to find the expression that best represents the measure of the interior angle of a regular polygon with n sides.
The general formula for finding the total angle in a regular n sided polygon is given as:
[tex]180(n-2)[/tex]Therefore, to find the measure of each interior angle of the polygon, we have to divide the total angle by the number of sides.
That is:
[tex]\frac{180(n-2)}{n}[/tex]Hence, that is the expression that best represents the measure in degrees of the interior angle of a regular polygon having n sides.
Which one of these expressions doesn’t have a value less than 1 please help thank you if u do
Option D which is [tex](3^{5} )^{2}/3^{4}[/tex] doesn’t have a value less than 1 .
What are exponential power?A number's exponent demonstrates how many times we are multiplying a given number by itself. 34, for instance, indicates that we are multiplying 3 by four. 3333 is its expanded form. The power of an integer is another term for an exponent. A whole number, fraction, negative number, or decimal are all acceptable. How frequently a number is multiplied by itself is indicated by its exponent. As 2 is multiplied by itself 4 times, 2222 might be expressed as 24, for instance. The "base" in this case is 2 and the "exponent" or "power" is 4. The general definition of xn is "x multiplied by itself n times."
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Please helppp as fast as possible 20 points ***
FIND THE DOMAIN & RANGE OF THE FUNCTION
g(x)=|x + 4|
Please helppp as fast as possible
Answer:
Domain: (−∞,∞),{x | x ∈ R}
Range: [0,∞),{y|y≥0}
Step-by-step explanation:
If mDH =(11x + 7) degrees , mGF = (5x + 9) degrees , and mEF = (10x - 22) degrees, find mDH
For this problem we use the arcs and chords theorem we know that
[tex]\begin{gathered} \measuredangle H\text{EF=}\frac{1}{2}(mGF+mDH) \\ \text{Substituting }\measuredangle HEF=10x-22,\text{ mGF=5x+9 and mDH=11x+7 we get} \\ 10x-22=\frac{1}{2}(5x+9+11x+7) \end{gathered}[/tex]Solving for x we get:
[tex]\begin{gathered} 10x-22=\frac{1}{2}(16x+16)=8x+8 \\ 2x=30 \\ x=15 \end{gathered}[/tex]Finally, we substitute x for mDH=(11x+7) degrees=(11*15+7) degrees=172 degrees.
mDH=172 degrees.
kid had 10 apples and he gic
Answer:
The meal cost $14.51 per person.
Step by step explanation:
Meal cost: 46.72
Sales tax: 8%
Then.
then we take out 8% of the value
[tex]46.72\text{ x 0.08 =3.74}[/tex][tex]46.72+3.74\text{ = 50.46}[/tex]Tip : 15% (meal and sales tax)
[tex]50.46\text{ x 0.15 = 7.57}[/tex][tex]50.46\text{ + 7.57 = 58.03}[/tex]There are 4 people.
[tex]\frac{58.03}{4}=14.51[/tex]What is the area of the triangle?
2/3×4/5 in fraction bar
Answer:
8/15
Step-by-step explanation:
Multiply the numerators:
2*4 = 8
Multiply the denominators:
3*5 = 15
Now we have 8/15.
This cannot be simplified, so this is our final answer.
[tex]\frac{2}{3} \times\frac{4}{5}[/tex]
Multiply numerator by numerator and denominator by denominator:
[tex]2*4=8\\3*5=15[/tex]
[tex]\frac{8}{15}[/tex] would be your final answer.
B. Write S if the expression is a sum of two cubes, D if a difference of two cubes, and N if neither.
1. 27x⁶ + y³=
2. 81 - b¹⁵=
3. 64x³ - 9z⁹=
4. 36m¹² - n⁶
5. 1 - d¹²=
6. 729 - y²⁹=
7. 343 - y⁶=
8. 4x³ + 8 =
9. 144 -125y² =
10. 64j⁶- k⁹=
Answers:
SNNNDNDNND==========================================================
Explanation:
Question 1
27x^6 = (3x^2)^3 which is one cube and y^3 is another cube
Therefore 27x^6+y^3 is a sum of two cubes.
It might help to think of it like A^3+B^3 where in this case A = 3x^2 and B = y.
----------------------------------------
Question 2
81 isn't a perfect cube since 81^(1/3) = 4.3267 approximately, which isn't a whole number. We need 81^(1/3) to be a whole number if we wanted 81 to be a perfect cube.
We don't even need to check b^15 since 81 being a non-perfect cube means the entire expression cannot be a sum of two cubes, nor a difference of cubes.
----------------------------------------
Question 3
64x^3 = (4x)^3 is a perfect cube
but 9z^9 is not a perfect cube
We can see this if we computed 9^(1/3) and the result is a non-whole number.
The answer here is the same as the previous question.
----------------------------------------
Question 4
36^(1/3) is not a whole number, so 36 isn't a perfect cube. By extension 36m^12 isn't a perfect cube either. The answer is the same as questions 2 and 3.
----------------------------------------
Question 5
1 is a perfect cube since 1 = 1^3
d^12 is a perfect cube because d^12 = (d^4)^3
Therefore, we have a difference of two cubes.
----------------------------------------
Question 6
729^(1/3) = 9 which rearranges to 9^3 = 729, showing 729 is a perfect cube.
However y^29 is not a perfect cube since the exponent 29 is not a multiple of 3.
The overall expression is "neither".
----------------------------------------
Question 7
343^(1/3) = 7 rearranges to 7^3 = 343, showing 343 is a perfect cube
y^6 is a perfect cube since (y^2)^3, i.e. the exponent 6 is a multiple of 3.
We have a difference of cubes.
----------------------------------------
Question 8
4 isn't a perfect cube since 4^(1/3) results in some decimal value that isn't a whole number. The entire expression is neither a sum nor difference of cubes.
----------------------------------------
Question 9
144^(1/3) isn't a whole number, so we get a similar result to problem 8.
----------------------------------------
Question 10
64j^6 = (4j^3)^3 is one cube
k^9 = (k^3)^3 is another cube
We have a difference of cubes
Use identities to find tan, csc, sec, and cot. Where necessary, rationalize denominators
We are given:
[tex]sin\text{ }\theta=\frac{3}{5},cos\text{ }\theta=\frac{4}{5}[/tex]The tangent is defined as the ratio of the sine and the cosine:
[tex]tan\text{ }\theta=\frac{sin\text{ }\theta}{cos\text{ }\theta}[/tex]Calculating:
[tex]\begin{gathered} tan\text{ }\theta=\frac{\frac{3}{5}}{\frac{4}{5}}=\frac{3}{5}\cdot\frac{5}{4} \\ \\ tan\text{ \theta}=\frac{3}{4} \end{gathered}[/tex]The cotangent is the reciprocal of the tangent:
[tex]\begin{gathered} \cot\theta=\frac{1}{\tan\theta} \\ \\ \cot\theta=\frac{1}{\frac{3}{4}}=\frac{4}{3} \end{gathered}[/tex]The secant is the reciprocal of the cosine:
[tex]\begin{gathered} \sec\theta=\frac{1}{\cos\theta}=\frac{1}{\frac{4}{5}} \\ \\ \sec\theta=\frac{5}{4} \end{gathered}[/tex]The cosecant is the reciprocal of the sine:
[tex]\begin{gathered} \csc\theta=\frac{1}{\sin\theta}=\frac{1}{\frac{3}{5}} \\ \\ \csc\theta=\frac{5}{3} \end{gathered}[/tex]Solve for d.
4d - 5 = 11
Answer:
d = 4
Step-by-step explanation:
4d - 5 = 11
a) Subtract 5 from both sides.
-5 + 5 = 11 + 5
4d = 16
b) Divide both sides by 4.
4d/4 = 16/4
16/4 = 4
Therefore, you're answer will be 4.
Mrs. brown is putting different colored sand into cups for 4 daughters to make sand art bottles . pink is 3/4 and purple is 1/2. each color is divided equally among the daughters how much more pink sand will be available than purple sand for each girl
Using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.
What are mathematical operations?A function in mathematics known as an operation is one that transforms zero or more input values into a clearly defined output value. The operation's complexity is determined by its operand count. The rules that specify the order in which we should perform several operations to solve an expression are known as the order of operations. Parentheses, Exponents, Multiplication, Division (from left to right), Addition, and Subtraction are in the following order: PEMDAS (from left to right).So, more pink sand is available to each girl:
Pink sand is 3/4 and purple sand is 1/2.Sand available to each girl:
Pink: 3/4 ÷ 4 ⇒ 3/4 × 1/4 ⇒ 3/16Purple: 1/2 ÷ 4 ⇒ 1/2 × 1/4 ⇒ 1/8Pink sand more to each girl:
3/16 - 1/83 - 2/161/16Therefore, using mathematical operations, we can say that the extra pink sand avaliable to each girl is 1/16.
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2/3×4/5 by using fraction bar step bystep
Answer: 8/15
Step-by-step explanation:
2/3 x 4/5, multiply numerators and denominators
8/15 or 0.533
a ball was dropped from the empire state building observatory. the height of the ball in feet is described by the function f(x)=1048-16x^2 where x is time in seconds
Find the time when the ball hits the ground. round your answer to the nearest tenth
The time when the ball hits the ground is 8. 09 seconds
What is a function?A function can be defined as an expression, theorem, law, or rule that elaborates, explains or holds true for the relationship between two variables.
These variables are namely;
The dependent variablesThe independent variablesFrom the information given, we have that;
f(x) = 1048 - 16x²
Where;
f(x) is The height of the ball in feetx is the time in secondsTo determine the time, we have;
collect like terms
- 16x² = - 1048
Divide both sides by the coefficient of x²
-16x²/-16 = -1048/-16
x² = 65.5
Find the square root of both sides, we have;
x = √65.5
x = 8. 09 seconds
Hence, the value is 8. 09 seconds
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HELP ME PLEASE I NEED HELP I DONT KNOW HOW TO DO THIS
Answer:
convert miles to kilometers by multiply by 1.61 covert kilometers to miles by devide by 0.62(if am not wrong)
The difference between 75% of a number and 20% of the same number is 378.4 what is 40% of that number?
Answer:
40% of the number is 275.2.
Step-by-step explanation:
I am going to call the number x.
75% of the number: 0.75x
20% of the same number: 0.2x
The difference between 75% of a number and 20% of the same number is 378.4:
This means that:
0.75x - 0.2x = 378.4
0.55x = 378.4
x = 378.4/0.55
x = 688
40% of the number:
0.4*688 = 275.2
40% of the number is 275.2.
Solve for x. Show your work.
Answer:
x = 35°
Step-by-step explanation:
Hello!
The sum of the two angles is 90°, so if we set the sum of the two angles to 90, we can solve for x.
Solve for x90 = 32 + 2x - 1270 = 2x35 = xThe value of x is 35°.
How many vertices does a triangle prima have?
A triangle prima has six vertices. A triangular prism has five faces, three rectangular and two triangular, nine vertices, and six edges.
What is triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental shape in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points determine a unique triangle and, by stretching, a unique aircraft. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The sum of the triangle's three angles equals 180 degrees. You've seen that a triangle is a simple closed curve made up of three line segments. It is made up of three vertices, three sides, and three angles.To learn more about triangle, refer to:
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So my grades keep going down
Whats the best way to study
Answer:
Step-by-step explanation:
study
Given g(x)=−23(x−4)2+3, g ( x ) = − 2 3 ( x − 4 ) 2 + 3 , what is the value of g(–5)? *Type in your answer. g(–5) =
The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.
What is the output value of g(-5) in the given function?A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.
Given the data in the question;
g( x ) = −23( x - 4 )2 + 3g( -5 ) = ?To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.
g( x ) = −23( x - 4 )2 + 3
g( -5 ) = −23( -5 - 4 )2 + 3
g( -5 ) = −23( -9 )2 + 3
g( -5 ) = −23( -9 × 2) + 3
g( -5 ) = −23( -18) + 3
g( -5 ) = ( -23 × -18) + 3
g( -5 ) = ( 414 ) + 3
g( -5 ) = 414 + 3
g( -5 ) = 417
Therefore, the output value of g( -5 ) is 417.
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