Question 21 of 25A group of 200 ninth-grade students responded to a survey that asked whichmath course they were enrolled in. According to the data collected:• 100 female students and 100 male students responded.• 57 females were enrolled in Algebra I.• 36 males were enrolled in Geometry.Which answer shows these data correctly entered in a two-way frequencytable?
Answers
100 female students responded and 57 females were enrolled in Algebra I. Since each female must choose between Algebra I or Geometry, the total amount of females minus the amount enrolled in Algebra I will tell us the amount enrolled in Geometry.
\(100-57=43\)We have 43 females enrolled in Geometry.
100 male students responded and 36 males were enrolled in Geometry. By the same logic, the amount of men enrolled in Algebra I is
\(100-36=64\)We have 36 males enrolled in Algebra I.
To create the table, each element must correspond to the line and column it belongs. If we want to fill the element on the row "female" and column "Algebra I",we're talking about the amount of females enrolled in Algebra I.
Thus, the correct table for our problem is option A.
Related Questions
the difference between -89.2 and 56.7
Answers
Answer:
Step-by-step explanation:
-32.5
To find the difference you need to subtract, so it would look like this
-89.2-56.7 which equals -33.5
Resulting set please help !!!!
Answers
The union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
What is ordered pair?The ordered pair is the pair of two numbers which represented in a manner that it provides a particular order.
In an order pair, the first term indicates the x-coordinate, while the second term indicate the y coordinates. The ordered pair are written in close bracket in the following way.
\((x,y)\)
The given set is U(a,e,i,o,u), in which,
\(X=(a,i,o)\\Y=(o,e,u)\\Z=(i,o,u)\)
\(X\cup Y\)For the union, write all the terms of X and Y set.
\(X\cup Y=(a,e,i,o,u)\)
\(X\cap Z\)For the intersection, write all the common terms of X and Z set.
\(X\cap Z=(i,o)\)
\(X\cap Y\cap Z\)For the intersection, write all the common terms of X , Y and Z set.
\(X\cap Y\cap Z=(o)\)
Hence, the union of X and Y is {a,e,i,o,u}, the intersection of X and Z is {i,o} and the intersection of all the three is {o}.
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Question 2(3 - 3x) = -18
Answers
Answer:
x=4
Step-by-step explanation:
1. Rearrange terms
\(2(-3x+3)=-18\)
2. Distribute
\(-6x+6=-18\)
3. Subtract 6 from both sides of the equation
\(-6x+6-6=-18-6\)
4. Simplify by subtracting the numbers
\(-6x + 6-6=-18-6\)
\(-6x=-18-6\)
\(-6x=-24\)
5. Divide both sides of the equation by the same factor
\(\frac{-6x}{-6} = \frac{-24}{-6}\)
6. Simplify
a) Simplify the fraction
\(\frac{-6x}{-6} = \frac{-24}{-6}\)
\(x = \frac{-24}{-6}\)
b) Divide the numbers
\(x=+4\)
7. Remove the postive sign.
\(x=4\)
Write 34% as a fraction in simplest form
Answers
Answer:
The answer is that the simplest fraction form of 34% is 17/50
Step-by-step explanation:
Both the numerator and denominator of the fraction 34/100 can only be divided by 2, to satisfy creating its simplest form.
34% = 17/50
Have an awesome day! :D
Answer:
\(\frac{17}{50}\)
Step-by-step explanation:
To write any fraction as a percent, remember perCENT means per 100. Think of 100 cents in a dollar. So 34 perCENT means 34 of 100, which you write as \(\frac{34}{100}\).
Simplest form means to reduce, so you see if there is any number you can divide out of the top and the bottom.
\(\frac{34}{100}\) = \(\frac{17*2}{50*2}\)= \(\frac{17}{50}\)
I need help asap please
Answers
Answer:
I think the answer is B, tell me if it is wrong.
Pls write the answer.
Answers
Answer:
the first one is the correct answer
Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.
Answers
Answer:
Step-by-step explanation:
A worker earning an hourly wage changes positions within a company. The new position comes with a 20% raise in hourly wage. The
worker also receives a $2 increase in hourly wage. Use composition of functions to write a function that represents the worker's new
hourly wage when the 20% raise is applied before the $2 raise.
f(x) =
Answers
This function gives the same result as the previous function we derived, but it expresses the calculation as a composition of the two separate functions that represent each raise separately.
What is function?A function is a set of instructions or statements that perform a specific task or computation and returns a value or result. In programming, a function is typically defined using a specific syntax and can be called or invoked by other parts of the program to carry out a particular operation.
Functions are used in programming to break down complex tasks into smaller, more manageable pieces of code, which can then be reused in multiple parts of the program. They can also help to improve the organization, readability, and maintainability of code.
by the question.
let the worker's original hourly wage be represented by the variable x. Then the function for the worker's new hourly wage when the 20% raise is applied before the $2 raise can be expressed as follows:
\(f(x) = (1.20x) + 2\)
In this function, the expression (1.20x) represents the worker's hourly wage after the 20% raise is applied, and the additional $2 raise is added to this amount to determine the final hourly wage.
We can also express this function using function composition notation. Let g(x) represent the function that applies the 20% raise to the worker's hourly wage and let h(x) represent the function that adds the $2 raise to the resulting hourly wage. Then we have:
\(g(x) = 1.20x\)
\(h(x) = x + 2\)
Using function composition, we can write the function for the worker's new hourly wage as:
\(f(x) = h(g(x)) = h(1.20x) = 1.20x + 2\)
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PLEASE I NEED SO MUCH HELP HERE!!!!!!
Answers
In a lottery game, a player picks 9 numbers from 1 to 46. If 8 of the 9 numbers match those drawn, the player wins second prize. What is the probability of winning this prize? Be sure to leave your answer as a reduced fraction in order to earn credit.
There is a _____
probability of winning second prize.
Answers
Answer: \(\frac{37}{1,101,716,330}\\\\\)
This is the same as writing 37/1101716330
======================================================
Explanation:
Let's say the nine winning numbers are: 1,2,3,4,5,6,7,8,9
Let's further say that if we matched everything from 1 to 8, then we'll win second prize. That ninth value can be anything but 9. So we could have something like one of these examples
1,2,3,4,5,6,7,8,101,2,3,4,5,6,7,8,111,2,3,4,5,6,7,8,12As you can see, there are 46-9 = 37 different choices we can have for that last slot. In other words, there are 37 items in the set {10,11,12,...,45,46} we can pick for that last ninth slot. Note that 46-10+1 = 37. This value will form the numerator of the answer.
------------------------------------------
Now to calculate how many ways there are to select the nine values regardless if we win or lose.
Since order doesn't matter, we use the nCr combination formula.
\(_{n} C _{r} = \frac{n!}{r!*(n-r)!}\\\\_{46} C _{9} = \frac{46!}{9!*(46-9)!}\\\\_{46} C _{9} = \frac{46!}{9!*37!}\\\\_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38*37!}{9!*37!}\\\\\)
\(_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38}{9!} \ \text{ ... the ``37!'' terms cancel}\\\\_{46} C _{9} = \frac{46*45*44*43*42*41*40*39*38}{9*8*7*6*5*4*3*2*1}\\\\_{46} C _{9} = \frac{399,790,821,830,400}{362,880}\\\\_{46} C _{9} = 1,101,716,330\\\\\)
There are slightly over 1 billion ways to select the nine values.
This large value is the denominator of our answer which is \(\frac{37}{1,101,716,330}\\\\\)
The 37 up top represents the number of ways to win the second prize we're after, while the massive number in the denominator represents how many ways there are to play the game.
------------------------------------------
Notice that in the jump from step 4 to step 5, shown in the section above, we had the "37!" terms cancel out. What this means is that the prime number 37 is nowhere to be found anywhere in the factorization of 1,101,716,330
Why is this important? Because it tells us that the fraction \(\frac{37}{1,101,716,330}\\\\\) cannot be reduced.
Side note: That fraction converts to the decimal form 0.00000003358397 approximately and that converts to the percentage form 0.000003358397%; both of which are very very small numbers. We can see that the odds are definitely stacked against the player.
what is 1/25 squared?
Answers
Answer: 0.0016
Step-by-step explanation: To find the fraction square root, first, find the square root of the numerator and then find the square root of denominator. After finding the square root values, simplify the fraction.
A pond in the shape of a right-angled triangle is shown below. Calculate the perimeter of the pond. Give your answer in metres to 1 d.p. 1.46 m 100 73°
Answers
The perimeter of the pond is 2.92 meters.
What s a right-angle triangle:
A right-angled triangle is a triangle in which one of the angles measures exactly 90 degrees, also known as a right angle.
The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.
The perimeter of a right-angled triangle is the sum of the lengths of its three sides.
Here we have
The Hypotenuse of the triangle is 1.46 m
The angle between hypotenuse and perpendicular height = 73°
From triagonometric ratios,
=> cos A = Perpendicular height/ Hypotenuse.
=> cos (73) = Perpendicular height/1.46
=> Perpendicular height = 1.46 × 0.29 = 0.42 m
As we know from Pythagoras' theorem,
Hypotenuse² = side² + side²
Side = √Hypotenuse² - side²
= √[(1.46)²- (0.42)²] = 1.04
Therefore, the sides of the pond are 1.46 m, 0.42 m, and 1.04
Hence, perimeter of the pond = 1.46 + 0.42 + 1.04 = 2.92 meters
Therefore,
The perimeter of the pond is 2.92 meters.
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The complete Question is given below
Help me please, I have to send it tomorrow
Answers
1) The graph of the drug content the first 10 hours after the intake is attached
2) The drug content is greatest at (2.24, 40.96)). The time is at 2.24 hours
What is graph?A graph is pictorial representation of data. It helps in data interpretation as used in many fields as it is that requires data presentation. There various types of graphs each meant to suit the data being presented.
Graphs are most times represented in x-y coordinate plane. This coordinate plane is most times' used for 2D data presentation. In 2D data presentation, the x axis is used for the input variables while the y axis is used for the output variables.
The attached graph has the time in hours in the input while the drug content measured in pg/ml is the output variable.
The drug content is greatest is highest at the peak of the graph with coordinates ( 2.23856, 40.96237 ). or (2.24, 40.96) to 2 decimal place. This is at the time of 2.24 hours
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Write the standard equation of a circle with center (-1, 4) and radius 5
Answers
Answer:
(x + 1)² + (y - 4)² = 25
Step-by-step explanation:
The general equation for a circle is given by the formula;
x² + y² + 2hx + 2ky + c = 0 ......equation 1.
Where the center is C(-h, -k)
Also, the standard form of the equation of a circle is;
(x - h)² + (y - k)² = r² ......equation 2.
Where;
h and k represents the coordinates of the centre.
r represents the radius of the circle.
Given the following data;
h = -1
k = 4
r = 5
Substituting into eqn 2, we have;
(x - {-1})² + (y - 4)² = 5²
Simplifying further, we have;
(x + 1)² + (y - 4)² = 25
A ball has mass 1.5 kilogram
Answers
Answer:
Good to know :D
Step-by-step explanation:
Answer:
Cool.
Step-by-step explanation:
what is 1*5+89 20 points
Answers
Answer:
your answer is going to be 94
Step-by-step explanation:
1×5=5
5+89=94
Answer: 1*5+89 = 94
The answer is 94
What’s the correct answer for this?
Answers
Answer:
what is this it is not understand able
Answer:
11
Step-by-step explanation:
<TKF = 90° ( BECAUSE OF THE BISECTOR)
BUT
<TKF = 5(x+7)
So
5(x+7) = 90
5x+35 = 90
5x = 90-35
5x = 55
Dividing by 5(both sides)
x = 11
PLEASE HELP ITS DUE TODAYYY
Answers
Answer:
(-3,10) (0,5) (3,0) (6,-5)
Step-by-step explanation:
x intercept = 3
y intercept =5
If brainiest is earned its greatly appreciated
Question 6(Multiple Choice Worth 1 points)
(06.01 MC)
P
The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units, and the right cylinder has a height of 5 units. Which
conclusion can be made from the given information?
O The volume of the prism is half the volume of the cylinder.
O The volume of the prism is twice the volume of the cylinder.
The volume of the prism is equal to the volume of the cylinder.
O The volume of the prism is not equal to the volume of the cylinder.
N
Answers
we cannot conclude that the volume of the prism is half the volume of the cylinder, twice the volume of the cylinder, or not equal to the volume of the cylinder.
How to solve the problem ?
The given information states that the cross-sectional areas of a triangular prism and a right cylinder are congruent, and both have a height of 5 units. Based on this information, we can conclude that the volumes of the two shapes may be equal, but we cannot conclude that the volume of the prism is half or twice the volume of the cylinder.
To determine the volumes of the two shapes, we need to know their respective formulas. The volume of a triangular prism is given by V = (1/2)bh, where b is the length of the base of the triangular cross-section and h is the height of the prism. The volume of a right cylinder is given by V = πr²h, where r is the radius of the circular cross-section and h is the height of the cylinder.
Since the cross-sectional areas of the two shapes are congruent, we can assume that their bases are similar. Therefore, the base of the triangular prism must be a triangle with the same area as the circular base of the cylinder. However, without further information about the shape and size of the cross-section, we cannot determine the values of b and r.
Therefore, we cannot conclude that the volume of the prism is half the volume of the cylinder, twice the volume of the cylinder, or not equal to the volume of the cylinder. The only conclusion that can be made is that the volume of the prism is equal to the volume of the cylinder, assuming that the cross-sectional areas are congruent.
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The average cycling speed for an experienced cyclist is 18 miles per hour. What is the average cycling speed for an experienced cyclist in feet per minute?
1 mile = 5,280 feet
Answers
Answer:
1584
Step-by-step explanation:
1 mile per hour = 88 per minute
so 88 x 18 = 1584
Answer:
95040
Step-by-step explanation:
If i mile =5280 feet
18 mile
18 x 5280=95040
=95040 feet per minute
Simplify.
(77² - 68-4) + (51² - 31+2)
Answers
Answer:
8429
Step-by-step explanation:
I HOPE THIS IS THE ANSWER CAPS
Answer:
8429
Step-by-step explanation:
hope this helps! :D
HELP ASAP!!!!PLEASE
Answers
Answer:
47xy
Step-by-step explanation:
The answer is 47xy because you add the area of the first quadrant to the second quadratic triangle to reactive the triangle bade
Length of an arc of a sector of angle pº
of a circle with radius Ris
Answers
Answer:
Answer is [A]
Step-by-step explanation:
Arc length = 2πr × (θ/360) where θ is the angle of sector which is p in the question and the radius is still the symbol R
1) you deposit $2,300 in a bank account. find the balance after 5 years for each of the following situations: is) the account pays 2.5% annual interest compounded monthly.
Answers
Answer:
Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.
But 5 years with interest you'd have 5750$ in the bank.
Step-by-step explanation:
With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.
With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.
Question 140. In the equation 2x^2 - 3x + 4 = 0, what is the sum of the squares of the roots?
Answers
Given the quadratic equation:
\(2x^2-3x+4=0\)We solve this equation to find the roots. The general solution for a quadratic equation is given by the expression:
\(x=\frac{-b\pm\sqrt[]{b^2-4\cdot a\cdot c}}{2a}\)Looking at the equation, we identify:
\(\begin{gathered} a=2 \\ b=-3 \\ c=4 \end{gathered}\)Then, using the general solution formula:
\(\begin{gathered} x=\frac{-(-3)\pm\sqrt[]{3^2-4\cdot2\cdot4}}{2\cdot2}=\frac{3\pm\sqrt[]{9-32}}{4} \\ \Rightarrow x_1=\frac{3+\sqrt[]{23}i}{4} \\ \Rightarrow x_2=\frac{3-\sqrt[]{23}i}{4} \end{gathered}\)Now, we need to know the sum of the squares of x₁ and x₂. Then:
\(\begin{gathered} x^2_1+x^2_2=\frac{1}{16}(9+2\cdot\sqrt[]{23}\cdot i-23+9-2\cdot\sqrt[]{23}\cdot i-23) \\ \Rightarrow=\frac{1}{16}(18-46)=-\frac{28}{16}=-\frac{7}{4} \end{gathered}\)Please help me solve this problem
Answers
The product of (2x + 3) and \((4x^2 - 5x + 6) = 8x^3 + 2x^2 - 3x + 18.\)
To find the product of (2x + 3) and (4x^2 - 5x + 6), we need to use the distributive property. We multiply each term in the first binomial by each term in the second binomial and then combine like terms.
Let's go through the steps:
1. Distribute the second binomial to each term in the first binomial:
(2x + 3)(4x^2 - 5x + 6) = 2x(4x^2 - 5x + 6) + 3(4x^2 - 5x + 6)
2. Multiply each term in the first binomial by each term in the second binomial:
= \((2x * 4x^2) + (2x * -5x) + (2x * 6) + (3 * 4x^2) + (3 * -5x) + (3 * 6)\)
3. Simplify each term:
= 8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18
4. Combine like terms:
=\(8x^3 + (12x^2 - 10x^2) + (12x - 15x) + 18\)
= 8x^3 + 2x^2 - 3x + 18
Therefore, the product of (2x + 3) and (4x^2 - 5x + 6) is 8x^3 + 2x^2 - 3x + 18.
In general, to find the product of two binomials, you need to distribute each term from the first binomial to each term in the second binomial and then combine like terms. It's important to pay attention to the signs and simplify the resulting expression.
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Find AE. Round the answer to the nearest tenth.
A 9.7
B. 13.5
C. 16.1
D. 17.3
Answers
AE= 17.4 to nearest tenth
Step-by-step explanation:
Opposite + hypotenuse = SOH / sin
Sin 31 = 6/h
xh, then ÷ sin31
H= 6/sin31
H= 11.649....(a or b & 6 being a or b)
a^2 + b^2 = c^2
c = 13.1
Actually it's not a right-angle triangle
180 - 13+31 (or 44) = 136 degrees
Cosine rule: a^2=b^2+c^2 - 2bc cosA
AE = root 11.649...^2 + 7^2 - 2x11.649...x7xcos136
= 17.3791......
AE= 17.4 to nearest tenth
Hope this helps!
20α – 6 + 6α – 2α; α = -2
Need help please
Answers
Explanation: used calculator
Answer:
-58
Step-by-step explanation:
20(-2) - 6 + 6(-2)
-40 - 6 - 12
-46 - 12
-58
Simplify the expression. Write the answer without using negative exponents. Assume that the variable is restricted to those numbers for which the expression is defined.
−m−8m9
Answers
The simplified expression is m^1 or simply m.
To simplify the expression −m^(-8) * m^9 without using negative exponents, we can utilize the properties of exponents.
First, let's deal with the negative exponent. A negative exponent indicates that the term should be moved to the denominator. So, we can rewrite −m^(-8) as 1/m^8.
Now, we can simplify the expression further: 1/m^8 * m^9.
When multiplying terms with the same base, we add the exponents. In this case, we have m^(-8) * m^9, which becomes m^(-8 + 9) = m^1 = m.
Finally, multiplying 1/m^8 by m gives us (1/m^8) * m = 1/m^(8-1) = 1/m^7.
Therefore, the simplified expression is 1/m^7, where m is the variable restricted to those numbers for which the expression is defined. By eliminating the negative exponent and combining like terms, we've simplified the expression without using negative exponents.
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charlie runs laps around a track. The table shows how long it takes him to run different numbers of laps. How long would it take Charlie to run 9 laps. Number of laps, 2,4,6,8,10, time, 14,28,42,56,70
Answers
Answer:
its 63
Step-by-step explanation:
cause 8 laps is 56 and then you see what is half of 14 and that 7 so you do 56+7 and that equal 63 because your looking at the 56 and seeing what is half of 14 and that 7 so you just add it to the 56 and you get 63
Hope This Helped :)