Answer:
x=2
Step-by-step explanation:
x=7-5
x=2
Thank you for your question
in a class of 40 students, 19 play tennis, 20 play netball, and 8 play neither of these sports. a student is randomly chosen from the class. determine the probability that the student:
Therefore, the probability that the student plays neither tennis nor netball is 1/5 = 0.2 or 20%.
There are 40 students in a class. 19 students play tennis, 20 students play netball, and 8 students play neither of these sports.
A student is chosen randomly from the class, and we need to determine the probability that the student: Plays tennis If a student is randomly chosen from the class, the probability that the student plays tennis is: Probability of playing tennis= (Number of students playing tennis) /
(Total number of students in the class) Probability of playing tennis= 19 / 40Plays netball if a student is randomly chosen from the class, the probability that the student plays netball is: Probability of playing netball= (Number of students playing netball) / (Total number of students in the class)Probability of playing netball= 20 / 40 = 1/2Plays neither of these sports a student is randomly chosen from the class, the probability that the student plays neither tennis nor netball is
:Probability of playing neither tennis nor netball= (Number of students who do not play either of the two sports) / (Total number of students in the class)Probability of playing neither tennis nor netball= 8 / 40Probability that the student plays tennis and netball
Probability of playing tennis and netball = (Number of students playing both tennis and netball) / (Total number of students in the class)We are given that none of the students play both tennis and netball, so the probability of playing both tennis and netball is 0.
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Probability:
Person A and Person B are playing archery together. Assume their abilities to fire the arrow at the target are exactly the same, and the probability of getting the target is 0.5 for both of them.
Now that given A has fired 201 arrows and B has fired 200 arrows, what is the probability that A gets more targets than B?
If Person A and Person B are playing archery together. the probability that A gets more targets than B is 0.5, or 50%.
How to find the probability?The number of targets hit by A and B follows a binomial distribution with parameters n = 201 and n = 200, respectively, and p = 0.5.
To find the probability that A gets more targets than B, we need to find the probability that A hits more than 100 targets (since 100 is the average number of targets hit by each player). We can use the normal approximation to the binomial distribution to do this.
The mean of the difference in the number of targets hit by A and B is:
E(A - B) = E(A) - E(B) = np - np = 0
The variance of the difference in the number of targets hit by A and B is:
Var(A - B) = Var(A) + Var(B) = np(1-p) + np(1-p) = 100
The standard deviation of the difference is then:
SD(A - B) = sqrt(Var(A - B)) = 10
Using the normal distribution approximation, we can standardize the difference in number of targets:
Z = (X - E(A - B)) / SD(A - B)
where X is the number of targets that A hits.
P(A hits more targets than B) = P(A - B > 0)
= P(Z > (0 - 0) / 10)
= P(Z > 0)
= 0.5
Therefore, the probability that A gets more targets than B is 0.5, or 50%. This means that there is an equal chance that A will hit more targets than B as there is that B will hit more targets than A.
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PLEASE HELP! DUE BY MIDNIGHT!
The complete table of trigonometric functions:
Row 1: θ = π / 3, sin θ = √3 / 2, cos θ = 1 / 2, tan θ = √3
Row 2: θ = 5π / 4, sin θ = - √2 / 2, cos θ = - √2 / 2, tan θ = - 1
Row 3: θ = 7π / 6, sin θ = - 1 / 2, cos θ = √3 / 2, tan θ = - √3 / 3
How to complete a table of trigonometric functions
In this problem we must complete a table with three angles, measured in radians, and three kinds of trigonometric functions (two fundamental function and a derivate function). The procedure to complete the table is shown below:
Check a table of trigonometric functions to check values of sine and cosine. Use trigonometric formula tan θ = sin θ / cos θ for the tangent.Now we proceed to complete the table of trigonometric functions:
θ = π / 3, sin θ = √3 / 2, cos θ = 1 / 2, tan θ = √3
θ = 5π / 4, sin θ = - √2 / 2, cos θ = - √2 / 2, tan θ = - 1
θ = 7π / 6, sin θ = - 1 / 2, cos θ = √3 / 2, tan θ = - √3 / 3
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What is the area of the driveway?
Find the missing exponent 5^11/5^?=5^4
Please answer ASAP
what does x = ?
25 = x + 6.5
Answer:
18.5
Step-by-step explanation:
25-6.5=18.5
x=18.5
An equation is modeled. What value of x makes the equation true?
The value of x that makes the equation true is -1.
How to obtain the value of xTo obtain the value of x, we must first express the equation as seen in the diagram. This gives us:
5x + 6 = 1
Five x was obtained by counting the number of x's that we have in the boxes and the sum of figure 1.
Now, when we solve this, we will have
5x = 1 - 6
5x = -5
x = -1.
This then means that if we are to sum -1 five times and add 6 to it, the final value that we will have is 1.
Complete Question:
The diagram shows five boxes with the x initials and 6 boxes with figure 1. All of these are represented on the left-hand side and equated to 1.
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if (2x10^n)+(4.02x10^5), what is n?
(2x10^n)+(4.02x10^5), what is n?
Step-by-step explanation:
To determine the value of n, we need to rewrite the expression as a number in scientific notation, in the form a x 10^n, where 1 ≤ a < 10.
We can start by factoring out 10^n from both terms:
(2 x 10^n) + (4.02 x 10^5) = 10^n (2 + 4.02 x 10^-5)
Now we need to divide both sides of the equation by (2 + 4.02 x 10^-5):
(2 x 10^n) + (4.02 x 10^5) / (2 + 4.02 x 10^-5) = 10^n
We can simplify the expression on the left side by multiplying the numerator and denominator by 10^5:
(2 x 10^n x 10^5 + 4.02 x 10^5) / (2 x 10^5 + 4.02) = 10^n
Simplifying the numerator:
(2 x 10^(n+5) + 4.02 x 10^5) / (2 x 10^5 + 4.02) = 10^n
Now we can cross-multiply to eliminate the fraction:
(2 x 10^(n+5) + 4.02 x 10^5) = 10^n (2 x 10^5 + 4.02)
Expanding both sides:
2 x 10^(n+5) + 4.02 x 10^5 = 2 x 10^(n+5) + 4.02 x 10^n
Subtracting 2 x 10^(n+5) from both sides:
4.02 x 10^5 = 4.02 x 10^n
Dividing both sides by 4.02:
10^5 = 10^n
Therefore, n = 5.
Nobody could get this correct last time i asked so please someone give the correct answer
Express each of the following percentages as a fraction (a) 5⅛% (b) 91.4%
Answer:
Step-by-step explanation:
(a) [tex]5\frac{1}{8} =\frac{41}{8}[/tex]
So we get
[tex]5\frac{1}{8}\% =\frac{41}{8}\div100[/tex]
[tex]= \frac{41}{8} \times \frac{1}{100}[/tex]
[tex]=\frac{41}{800}[/tex]
(b) [tex]91.4=91\frac{4}{10} =91\frac{2}{5} =\frac{457}{5}[/tex]
So we get
[tex]91.4\%=\frac{457}{5} \div100[/tex]
[tex]=\frac{457}{5} \times \frac{1}{100}[/tex]
[tex]=\frac{457}{500}[/tex]
Choose the two random variables from this list that are continuous.
a) The average temperature in NYC during May.
b) The compensation of a Top 500 CEO.
c) The number of apples per bag in a supermarket.
d) The number of ads during the Superbowl.
The two random variables from this list that are continuous are: a) The average temperature in NYC during May. b) The compensation of a Top 500 CEO.
A continuous random variable is a variable whose values are any member of an uncountable set or any uncountable combination of such members. A continuous random variable has an infinite number of possible values, which are represented by an interval (a,b), where a and b can be any value on the real number line. A continuous random variable cannot take on individual values because there are an infinite number of values between any two points.For example, temperature, length, and weight are examples of continuous random variables.
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Graph the image of ABC after a reflection over the line Y = x
Check the picture below.
the coordinates of the vertices of triangle ABC are A(-2,4), B(-7,-1), and C(-3,-3). Prove that triangle ABC is isosceles
State the coordinates of triangle A' B' C', the image of triangle ABC, after a translation 5 units to the right and 5 units down
Answer:
The image of triangle ABC after the translation 5 units to the right and 5 units down is A'B'C' with vertices at (3, -1), (-2, -6), and (2, -8).
Step-by-step explanation:
To prove that triangle ABC is isosceles, we need to show that at least two of its sides have the same length. We can use the distance formula to calculate the length of each side:
AB = sqrt[(−7−(−2))^2 + (−1−4)^2] = sqrt[25 + 25] = 5sqrt(2)
AC = sqrt[(−3−(−2))^2 + (−3−4)^2] = sqrt[1 + 49] = sqrt(50)
BC = sqrt[(−7−(−3))^2 + (−1−(−3))^2] = sqrt[16 + 4] = 2sqrt(10)
Since AB and AC have different lengths, triangle ABC cannot be equilateral. However, if we compare AB and BC, we see that they have the same length, 5sqrt(2). Therefore, triangle ABC is isosceles.
To find the coordinates of A'B'C' after the translation 5 units to the right and 5 units down, we simply add 5 to the x-coordinates and subtract 5 from the y-coordinates of each vertex. Thus:
A' = (-2+5, 4-5) = (3, -1)
B' = (-7+5, -1-5) = (-2, -6)
C' = (-3+5, -3-5) = (2, -8)
Therefore, the image of triangle ABC after the translation 5 units to the right and 5 units down is A'B'C' with vertices at (3, -1), (-2, -6), and (2, -8).
Point
�
V is located at
(
2
,
5
)
(2,5) on the coordinate plane. Point
�
V is reflected over the
�
x-axis to create point
�
′
V
′
. Point
�
′
V
′
is then reflected over the
�
y-axis to create point
�
′
′
V
′′
. What ordered pair describes the location of
�
′
′
?
V
′′
?
The ordered pair that describes the location of V" is (5, -2).
Define reflectionIn mathematics, reflection is a transformation in which a geometric figure is mirrored or flipped over a line, plane or point. It is a type of transformation that changes the position of an object without changing its shape or size. Reflection can occur in any number of dimensions, including two-dimensional space (plane), three-dimensional space (solid objects), or even higher dimensions.
The reflection of point V over the x-axis will change the sign of the y-coordinate, so point V' will be located at (-5, -2).
The reflection of point V' over the y-axis will change the sign of the x-coordinate, so point V" will be located at (5, -2).
Therefore, the ordered pair that describes the location of V" is (5, -2).
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The complete question is:
Point V is located at (-5,2) on the coordinate plane. Point V is reflected
over the x-axis to create point V'. Point V' is then reflected over the y-axis
to create point V". What ordered pair describes the location of V"?*
mes fuller recently tested her 120 keyboarding students to see how many words per mintue they can type. The results were normally a distriubuted with a mean of 45 and a standard deviation of 6
Using the standard normal distribution table, we can find that the probability of a student typing more than 50 words per minute is 0.2033 or 20.33%.
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
It seems like you have given me information about the distribution of typing speed for Mes Fuller's 120 keyboarding students. The distribution is normally distributed with a mean (μ) of 45 words per minute and a standard deviation (σ) of 6 words per minute.
A normal distribution is a continuous probability distribution that is symmetric around the mean value. The mean value is the center of the distribution, and the standard deviation measures the amount of variability or spread of the data.
With this information, we can calculate probabilities for different values of typing speed using the standard normal distribution table or a statistical software program.
For example, if we want to know the probability of a student typing more than 50 words per minute, we can calculate the z-score as follows:
z = (x - μ) / σ = (50 - 45) / 6 = 0.83
therefore, the standard normal distribution table, we can find that the probability of a student typing more than 50 words per minute is 0.2033 or 20.33%.
Similarly, we can calculate probabilities for other values of typing speed using the same method.
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Answer:
Question #3 *I need help*
Step-by-step explanation:
Students need to be in the top 2% in order to be eligible for the national typing competition, if Carla can type 56 wpm, is she eligible?
What is the reciprocal of 0.9?
Answer:
1.11111111
Step-by-step explanation:
Answer: 1/0.9
Step-by-step explanation:
Simply put 1 as the numerator of the given number to get the reciprocal.
Tanya spends 2 hours to edit a 5 minute long video. She edits at a constant rate.
How long does Tanya spend to edit a 15 minute long video?
Answer:
6 hours - 5 = 2, so 15 = 6 , as its constant
Find g(x), where g(x) is the translation 4 units left and 9 units up of f(x) = x².
Write your answer in the form a(x - h)² + k, where a, h, and k are integers.
g(x)= ______
How does the author develop the connection between Mourne Textiles and the history and culture of Ireland? Responses by explaining major historical events in Ireland and how Gerd Hay-Edie took part in them by mentioning that local Irish weavers taught Gerd Hay-Edie how to weave and make the designs by describing Gerd Hay-Edie’s career and how events in Ireland impacted the company by comparing the Norwegian fjords to the Irish landscape and Gerd Hay-Edie’s fashion sense to the typical Irish style
The author develops the connection between Mourne Textiles and the history and culture of Ireland by mentioning that local Irish weavers taught Gerd Hay-Edie how to weave and make the designs. Additionally, the author highlights the significance of the landscape and natural resources in Northern Ireland to the design and production of the textiles.
Hence, the correct answer is option B.
In the article, the author describes how Gerd Hay-Edie learned traditional weaving techniques from local weavers in Northern Ireland, and how she incorporated these techniques into her designs. The author also emphasizes the importance of the Mourne Mountains and the surrounding natural resources in shaping the textiles produced by the company.
Furthermore, the author highlights how the designs and techniques used by Mourne Textiles are rooted in Irish tradition and history. Through these details and examples, the author establishes a strong connection between Mourne Textiles and the history and culture of Ireland.
Hence, the correct answer is option B.
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--The question is incomplete, answering to the question below
"How does the author develop the connection between Mourne Textiles and the history and culture of Ireland?
A. by explaining major historical events in Ireland and how Gerd Hay-Edie took part in them
B. by mentioning that local Irish weavers taught Gerd Hay-Edie how to weave and make the designs
C. by describing Gerd Hay-Edie’s career and how events in Ireland impacted the company
D. by comparing the Norwegian fjords to the Irish landscape and Gerd Hay-Edie’s fashion sense to the typical Irish style" --
A dilation maps figure QRST to its image Q'R'S'T'. What is the scale factor?
Q'R
Q2 in. T
R'
S
4 in. T'
S'
The scale factor after dilation is 2 in.
What is dilation?
Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. Yet, there is a variation in the shape's size.
Here in the given figure QRST , the length of QT = 2in.
Now after dilation the figure Q'R'S'T' , the length of Q'T'= 4in
Then scale factor is,
=> Q'T'/QT = 4/2 = 2in.
Hence the scale factor after dilation is 2 in.
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two step equations
find the value of the unknown variable in the equation
-9=-9(t+1)
Answer:
Step-by-step explanation:
t=0
If you replace t with zero -9=-9(0+1)
0+1=1 and -9(1)=-9
so t=0
i need help on this! ty!
The relative frequency is 8/25.
Describe Relative Frequency?Relative frequency is a statistical concept that refers to the proportion of times that an event occurs in a given sample or population. It is calculated by dividing the number of times the event occurs by the total number of observations in the sample or population.
Relative frequency is an important concept in probability theory and statistics because it provides a way to estimate the probability of an event occurring based on the observed data. As the sample size increases, the relative frequency becomes a more accurate estimate of the true probability of the event.
Relative frequency is also used in hypothesis testing, where it is used to test whether a particular hypothesis is supported by the data. In this case, the observed relative frequency is compared to the expected relative frequency under the null hypothesis to determine whether the difference between the two is statistically significant.
The total number of spins is 75 and the number of times the spinner landed on 3 is 24.
Therefore, the relative frequency for the event "spin a 3" is:
24/75 = 8/25
So, the relative frequency is 8/25.
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The total number of spins is 75 and the number of times the spinner landed on 3 is 24.
The "spin a 3" occurrence has a relative frequency of [tex]\frac{8}{25}[/tex].
Describe Relative Frequency?A statistical concept known as "relative frequency" describes the percentage of times an event happens in a given sample or population. It is calculated by dividing the total number of observations in the sample or group by the frequency of the event.
Because it offers a method to calculate the probability of an event occurring based on the observed data, relative frequency is a crucial concept in probability theory and statistics. The relative frequency becomes a more precise indicator of the actual probability of the event as sample size rises.
In order to determine whether a specific hypothesis is backed by the data, relative frequency is also used in hypothesis testing. To determine
whether the difference between the two is statistically significant, the observed relative frequency is in this instance compared to the expected relative frequency under the null hypothesis.
There were 75 total spins, and 3 appeared 24 times during those rotations.
As a consequence, the proportional frequency of "spin a 3" is as follows:
[tex]\frac{24}{75} =\frac{8}{25}[/tex]
So, the relative frequency is [tex]\frac{8}{25}[/tex].
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The area of a square depends on the length of its sides. Answer the questions below regarding the relationship between the area of the square and the length of one side of the square.
Answer:
Step-by-step explanation:
function
slope
x value
y value
In the equation y = x + 2, why can y only be 5 when x is 3?
Answer:
look in explanation
Step-by-step explanation:
In this equation, y can only be equal to 5 if x is labeled as 3.
Why? Because when you input the numbers into the equation, y=5 and x=3 then it will make sense. 5=3+2 If you put y as any other number the equation will not be true.
A rectangular field is 150 metres long and 100 metres wide. How many
times would a runner have to go around the field to run 2 kilometres?
Answer:
4
Step-by-step explanation:
the distance around the field is the perimeter, which is 2(length) + 2(width)
2(150) + 2(100) = 500
2 kilometres = 2000 metres, and 2000/500 = 4
Answer: 4 times
Step-by-step explanation:
Step 1: find the Perimeter
Perimeter = 2L + 2W
= 2(150 meters) + 2(100 meters)
= 500 meters.
Step 2: find how many times the runner would have to run around the perimeter.
2 kilometers = 2000 meters
2000/500=4
The runner would need to go around the field 4 times to run 2km.
A chemist is testing new drink flavors for a food company. He has containers with the following amounts of liquid in them:
1/4L, 1/4L, 1/2L, 1/8L, 1/2L, 1/16L, 1/4L, 1/4L, 1/8L
Which line plot describes the chemist's data?
A × × ×
× × × ×
<------|---------|---------|---------|------>
1/16 1/8 1/4 1/2
×
×
B × × ×
× × × ×
<------|---------|----------|---------|------>
1/16 1/8 1/4 1/2
×
× ×
C × × ×
× × × ×
<------|---------|----------|---------|------>
1/16 1/8 1/4 1/2
×
B × × ×
× × ×
<------|---------|----------|---------|------>
1/16 1/8 1/4 1/2
Please tell me the answer is that I don't understand
Answer:
Step-by-step explanation:
1
find x if the angles of a triangle are x + 23, 4x+ 17, and 80
Step-by-step explanation:
The three internal angles of a triangle sum to 180 °
x + 23 + 4x+17 + 80 = 180
5x + 120 = 180
5x = 60
x = 12 °
Find the length L of the curve x = y (y - 25/96 cube root y^3, 0 lessthanorequalto y lessthanorequalto 243. Set up: L = integral^243_0 squareroot 1 + (f'(x))^2 dy, where f'(y) = Simplify L = integral^243_0 squareroot (g(y))^2 dy, where g(y) = Integrate L =
The length L of the curve is approximately 185.35 units.
To find the length of the curve, we first need to find the derivative of the given function:
f'(y) = 1 - (25/32) y^(-2/3)
Next, we need to find the integrand by squaring the derivative and adding 1:
g(y) = √(1 + [1 - (25/32) y^(-2/3)]^2)
Then, we can use this integrand to set up the integral:
L = ∫[0,243] g(y) dy
L= 185.35 units
Using a calculator or software, we can evaluate this integral to find the length L of the curve, which is approximately 185.35 units. Hence the length of curve is 185.35 units
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Liam says that the algebraic equation 6x + (-4) = 3y has two variables, coefficients of 6 and 3, and two terms. Is he correct? Explain.
PLS ASAP THIS IS A EXAM
Yes we can say that Liam's interpretation of the algebraic expression is correct because it has two variables, coefficients of 6 and 3, and two terms.
How to interpret Algebraic expressions?In Mathematics, an algebraic expression is defined as an expression that is normally made up of variables, constants, coefficients, and then arithmetic operations. These mentioned items are the different parts that make up the algebraic expression.
Let us consider an expression, 3x + 5y - 8
Here, the parts of the expression are:
Coefficients are 3 and 5
Constant is 8
Variables are x and y
Terms are 3x, 5y
Mathematical operators used are plus (+) and minus (-).
We are given the algebraic equation 6x + (-4) = 3y
Thus, it has:
Two coefficients which are 6 and 3
Two variables which are x and y
Two terms which are 6x and 3y
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Give the center and the radius of the circle with the equation
(x - 2)² + (y + 5)² = 144.
Center: (
Radius:
Using the equation, the center is (-2,5) and the radius is 12 units.
Define center and radius of circle?Use the formula (x-a) ² + (y-b) ² = r² to determine a circle's equation when you are aware of its radius and center.
Here, stands for the circle's center, and is its radius. This equation is essentially a variant way of writing the general equation for a circle.
The given question is:
(x - 2) ² + (y + 5) ² = 144.
Now this can be written as:
(x - 2) ² + (y + 5) ² = 12²
The circle of center (x₁, y₁) and radius r is written as:
(x - x₁) ² + (y - y₁) ² = r²
Hence, the center is (-2,5) and the radius is 12 units.
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