The rate can be expressed as "3 players per sport"
What is rate?A rate is a ratio that compares two quantities with different units. In this case, we have 30 players and 10 sports. To express this as a rate, we want to compare the number of players to the number of sports. We can write this as:
30 players / 10 sports
To simplify this ratio, we can divide both the numerator (30 players) and denominator (10 sports) by the same factor to get an equivalent ratio. In this case, we can divide both by 10:
(30 players / 10) / (10 sports / 10)
This simplifies to:
3 players / 1 sport
So the rate can be expressed as "3 players per sport" or "3:1" (read as "three to one"). This means that for every one sport, there are three players.
Alternatively, we can express the rate as a fraction or decimal by dividing the number of players by the number of sports:
30 players / 10 sports = 3 players/sport = 3/1 = 3 or 3.0 (as a decimal)
Learn more about rate
brainly.com/question/14731228
#SPJ11
Triangle XYZ has vertices X(8, −2.3), Y(6.5, 5), and Z(6, 3). When translated, X′ has coordinates (3.8, −0.3). Enter a rule to describe this transformation. Then find the coordinates of Y′ and Z′. Drag and drop each number into the correct box to complete the statements. The rule is (x, y) arrowright parenleftzex − , y + parenrightze. The coordinates are Y′parenleftze, parenrightze and Z′parenleftze, parenrightze.
Answer:
The coordinates of \(Y'(x,y)\) and \(Z'(x,y)\) are \(Y'(x,y) = (2.3, 7)\) and \(Z'(x,y) = (1.8, 5)\), respectively.
Step-by-step explanation:
A translation is a geometrical operation consisting in moving a point a given distance. We proceed to describe the operation:
\(X(x,y) +U(x,y) = X'(x,y)\) (Eq. 1)
Where:
\(X(x, y)\) - Initial point on the cartesian plane, dimensionless.
\(X'(x, y)\) - Translated point on the cartesian plane, dimensionless.
\(U(x, y)\) - Translation component, dimensionless.
Vectorially speaking, we find that translation component is:
\(U(x, y) = X'(x,y) -X(x,y)\)
If we know that \(X(x,y) = (8, -2.3)\) and \(X'(x,y) = (3.8, -0.3)\), the translation component is:
\(U(x,y) = (3.8,-0.3)-(8,-2.3)\)
\(U(x,y) = (3.8-8, -0.3+2.3)\)
\(U(x,y) = (-4.2, 2)\)
Now we determine the coordinates of \(Y'(x,y)\) and \(Z'(x,y)\):
(\(Y(x,y) = (6.5, 5)\), \(Z(x,y) = (6,3)\))
\(Y'(x,y) = Y(x,y) + U(x,y)\) (Eq. 2)
\(Y'(x,y)=(6.5, 5) + (-4.2, 2)\)
\(Y'(x,y) = (2.3, 7)\)
\(Z'(x,y) = Z(x,y) + U(x,y)\) (Eq. 3)
\(Z'(x,y) = (6,3)+(-4.2,2)\)
\(Z'(x,y) = (1.8, 5)\)
The coordinates of \(Y'(x,y)\) and \(Z'(x,y)\) are \(Y'(x,y) = (2.3, 7)\) and \(Z'(x,y) = (1.8, 5)\), respectively.
You are holding a fundraiser for cancer research. A certain charity organization has agreed to contribute \$10$10dollar sign, 10 more than the amount of money you raise to cancer research. In the equation below, fff is the amount of money that you raise during your fundraiser, and ccc is the amount of money that the charity organization donates. The relationship between these two variables can be expressed by the following equation: c=f+10c=f+10c, equals, f, plus, 10 Identify the dependent and independent variables.
The charity organization will donate $100 + $10.
The dependent and independent variables are the two types of variables that are involved in a mathematical equation. In this problem, f is the independent variable, and c is the dependent variable.
An independent variable is the variable that is changed or controlled to test the effects on the dependent variable.
In the equation c = f + 10, f is the independent variable and c is the dependent variable.
This equation is an example of a linear equation where y is a dependent variable and x is an independent variable. The equation means that the amount of money that the charity organization contributes (c) is dependent on the amount of money that you raise during the fundraiser (f).
For every dollar raised, the charity organization will contribute an additional ten dollars. That is, c will always be equal to the amount of money raised (f) plus 10.
If f is zero, then c is also zero plus 10, which means the charity organization will donate ten dollars.
If f is $50, then c will be $60 since the charity organization will donate $50 + $10. If f is $100,
then c will be $110
To know more about charity visit:
https://brainly.com/question/31888282
#SPJ11
can some one please answer !! i’ll give you a brainliest!!!!!!!
Answer:
1) 7/12 is rational
2) √28 is irrational
3) √13/25 is irrational
4) -15 is irrational
5) 5π is irrational
"
if
a particle has a mass of 0.00000000572 g, how would you convert
this value to ng?
"
To convert a mass value from grams to nanograms, we need to multiply the given value by a conversion factor. In this case, we can convert 0.00000000572 grams to nanograms by multiplying it by 1,000,000,000.
To convert grams to nanograms, we use the conversion factor that 1 gram is equal to 1,000,000,000 nanograms. Therefore, to convert the mass of 0.00000000572 grams to nanograms, we multiply it by the conversion factor:
0.00000000572 g × 1,000,000,000 ng/g = 5.72 ng
Hence, the mass of 0.00000000572 grams is equivalent to 5.72 nanograms.
Learn more about conversion factor here: brainly.com/question/30640854
#SPJ11
To convert a mass of 0.00000000572 g to ng (nanograms), we can multiply the given mass by a conversion factor.
The prefix "nano-" represents a factor of 10^-9. Therefore, to convert grams to nanograms, we need to multiply the given mass by 10^9.
0.00000000572 g × 10^9 ng/g = 5.72 ng
By multiplying the mass in grams by the conversion factor, we find that the mass of 0.00000000572 g is equivalent to 5.72 ng.
Learn more about conversion factor here: brainly.com/question/30640854
#SPJ11
Asap helppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
a baseball is dropped off the side of a cliff. it free-falls to the ground in 8 seconds. during the third second, the ball is traveling about ______
During the third second of free-fall, the baseball is traveling at approximately 29.4 meters per second (m/s) downward.
When an object is in free-fall, its speed increases due to the acceleration due to gravity. In the case of the baseball being dropped off the cliff, its initial velocity is zero, and it falls for a total of 8 seconds. During the first second, the ball accelerates and reaches a velocity of approximately 9.8 m/s. In the second second, the ball continues to accelerate and its velocity doubles to around 19.6 m/s.
During the third second, the ball experiences further acceleration, increasing its velocity. Since the acceleration due to gravity is constant at approximately 9.8 m/s², the ball's velocity increases by an additional 9.8 m/s during the third second. Therefore, during the third second of free-fall, the ball is traveling at approximately 29.4 m/s downward.
To learn more about acceleration: -brainly.com/question/2303856#SPJ11
slope and y intercept of a line that passes through the points (-3,1) and (7,-5)?
Answer:
The slope of the line is -3/5
The y-intercept of the line is 14/5
Step-by-step explanation:
Equation of a line
A line can be completely defined by two points. Suppose we know the line passes through points A(x1,y1) and B(x2,y2).
The equation for a line can be written as:
\(y=mx+b\)
Where m is the slope and m is the y-intercept. Both values can be determined by using the coordinates of the given points.
First, determine the slope with the equation:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
The points are: A(-3,1) B(7,-5)
\(\displaystyle m=\frac{-5-1}{7-(-3)}\)
\(\displaystyle m=\frac{-6}{7+3}=\frac{-6}{10}\)
Simplifying by 2:
\(\displaystyle m=-\frac{3}{5}\)
The slope of the line is -3/5
Using this value in the equation of the line:
\(\displaystyle y=-\frac{3}{5}x+b\)
Use any of the given points to find b. Susbstituting point A(-3,1):
\(\displaystyle 1=-\frac{3}{5}(-3)+b\)
Operating:
\(\displaystyle 1=-\frac{9}{5}+b\)
Moving the constants to the left side:
\(\displaystyle 1+\frac{9}{5}=b\Rightarrow b=\frac{14}{5}\)
\(\boxed{\displaystyle b=\frac{14}{5}}\)
The y-intercept of the line is 14/5
please hurry!!! find JKI
Answer:
m∠JKI: 43°
Explanation:
As its an isosceles triangle, m∠JKI = m∠JIK
m∠JKI:
\(\hookrightarrow \sf \dfrac{( 180 - 94 )}{2}\)
\(\hookrightarrow \sf \dfrac{ 86 }{2}\)
\(\hookrightarrow \sf 43\)
Answer:
43.
Step-by-step explanation:
The scale of a map is 3 ft = 84
miles
Map: 4.5 ft
Actual miles:
The actual miles calculated for the given scale of a map is 126 miles.
What is referred as the unitary method?It is a technique that determines the value of a single unit through subtracting the significance of multiple units from the value of a single unit.
The unitary method provides the value of many items, and we must either figure out the amount of more or lesser items.To do so, we must first figure out the worth of one item by division and afterwards multiply the value of more and fewer items.Now, the given question;
The scale of a map is 3 ft = 84 miles
Using unitary method for solving this.
Convert the value for 1 foot.
1 foot = 84/3 miles = 28 miles.
Now, calculate the value for the map of 4.5 ft.
4.5 feet = 28×4.5 miles
4.5 feet = 126 miles
Therefore, the value for map of 4.5 feet is estimated as 126 miles.
To know more about unitary method, here
brainly.com/question/23423168
#SPJ9
The triangles shown below must be congruent. Help please
If $1 in U.S. Dollars is 0.1277 Chinese yuan, convert $16,000 to yuan.
To solve the exercise you can use a rule of three, like this:
\(\begin{gathered} \text{ \$1 USD}\rightarrow0.1277\text{ Chinese yuan} \\ \text{ \$16,000 USD}\rightarrow x\text{ Chinese yuan} \end{gathered}\)\(\begin{gathered} x=\frac{\text{\$16,000 USD }\cdot\text{ }0.1277\text{ Chinese yuan}}{\text{ \$1 USD}} \\ x=\frac{\text{16,000 }\cdot\text{ }0.1277\text{ Chinese yuan}}{\text{ 1}} \\ x=\frac{\text{16,000 }\cdot\text{ }0.1277}{\text{ 1}}\text{ Chinese yuan} \\ x=\frac{\text{2}043.2}{\text{ 1}}\text{ Chinese yuan} \\ x=2043.2\text{ Chinese yuan} \end{gathered}\)Therefore, $16,000 U.S. Dollars are 2043.2 Chinese yuan.
helppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x = -1
Step-by-step explanation:
14x + 2 = 9x -3
Transpose
14x -9x = -3 -2
5x = -5
x= -5/5
x = -1
Answer:
x = -1
Step-by-step explanation:
\(14x+2=9x-3\\\\5x+2=-3\\\\5x=-5\\\\x=-1\)
what is the point-slope form of a line with slope -4 that contains the point (-2, 3)
Answer:
\(y - 3 = - 4(x + 2)\)
For each of the following scenarios, determine whether the mean or median better represents the data (place a check mark in the appropriate box). For each case, explain why you chose that particular average. The following three scenarios below do not have a specific data set. Be sure to consider all possibilities/outcomes! "Create" a data set if you need to.
In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..
1. Scenario: Income distribution of a population
- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.
2. Scenario: Exam scores in a class
- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.
3. Scenario: Housing prices in a city
- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.
Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.
Learn more about data here:
https://brainly.com/question/29117029
#SPJ11
If 74 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by greater than 2.8 watts
If 74 amplifiers are sampled, the probability that the mean of the sample would differ from the population mean by less than 2.8 watts is approximately 0.
The question is asking for the probability that the mean of the sample would differ from the population mean by less than 2.8 watts. We are given that the mean output of the amplifier population is 321 watts with a variance of 144, and that 74 amplifiers are sampled.
To find the probability, we can use the standard deviation, which is the square root of the variance. Therefore, the standard deviation is √144 = 12 watts.
Since we are dealing with a sample mean, we can use the formula for the standard error of the mean, which is the standard deviation divided by the square root of the sample size. In this case, the sample size is 74.
The standard error of the mean is 12 / √74 ≈ 1.3922 watts.
To find the probability that the mean of the sample would differ from the population mean by less than 2.8 watts, we can use the standard normal distribution. We can calculate the z-score using the formula: (x - μ) / σ, where x is the difference in means (2.8 watts), μ is the population mean (321 watts), and σ is the standard error of the mean (1.3922 watts).
The z-score is (2.8 - 321) / 1.3922 ≈ -231.0971.
To find the probability, we need to find the area under the standard normal curve to the left of the z-score. Using a standard normal table or a calculator, the probability is essentially 0 (rounded to four decimal places).
Therefore, the probability that the mean of the sample would differ from the population mean by less than 2.8 watts is approximately 0.
Complete Question: The mean output of a certain type of amplifier is 321 watts with a variance of 144. If 74 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 2.8 watts? Round your answer to four decimal places.
To know more about probability refer here:
https://brainly.com/question/30249809
#SPJ11
elizabeth's family went to nyc for their vacation. at the gift shop on liberty island, valerie bought three t-shirts and four keychains for $134, and jennifer bought four t-shirts and five key chains for $175. find the price of each item.
Using the elimination method, the price of one t-shirt is $30 and one key-chain is $11.
In the given question, Elizabeth's family went to NYC for their vacation.
At the gift shop on Liberty Island, Valerie bought three t-shirts and four key chains for $134, and Jennifer bought four t-shirts and five key chains for $175.
We have to find the price of each item.
Let the price of one t-shirt = $x
Let the price of one Key chain = $y
According to question
Price of three t-shirts and four key chains = $134
So the equation is
3x + 4y = $134……………….(1)
Also,
Price of four-shirts and five Key chains = $175
So the equation is
4x+5y = $175……………………..(2)
Now solving the equation using the elimination method.
Multiply Equation (1) by 5 and Equation (2) by 4, we get
15x+20y = 670....................(3)
16x+20y = 700......................(4)
Subtract equation 4 and 3, we get
x = 30
Now put the value of x in equation 1,
3*30 + 4y = $134
90+4y=$134
Subtract 90 on both side, we get;
4y = 44
Divide by 4 on both side, we get;
y = 11
Hence, the price of one t-shirt is $30 and one key-chain is $11.
To learn more about elimination method link is here
brainly.com/question/14619835
#SPJ4
PLEASE HELP WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!! Which of the following could be factored by grouping?
a: ab+ad-ac+ae
b: ac+ad+bc-bd
c: ac+ad+bc+bd
d ab+cd-ab+cd
Answer:
B
Step-by-step explanation:
Please make me branlist
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Factorization by grouping means grouping the terms with common factors before factoring.
Given the equation:
ac + ad + bc + bd
Factorizing by grouping:
= a(c + d) + b(c + d)
= (a + b)(c + d)
Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)
Find out more on equation at: https://brainly.com/question/2972832
What is the range of the function represented by the graph?
{0,1,2,3} {1,2,3,4} 1
Answer:
number 3
Step-by-step explanation:
Answer:
number 3 i did it and i got a 100% on it
Step-by-step explanation:
Please ASAP Help
Will mark brainlest due at 12:00
Answer:
The answer is D
Step-by-step explanation:
Three runners, Dirk, Edith, and Foley all start at the same time for a $24$ km race, and each of them runs at a constant speed. When Dirk finishes the race, Edith is $8$ km behind, and Foley is $12$ km behind. When Edith finishes the race, how far behind is Foley, in km
Answer:
$12$ km
Step-by-step explanation:
IF THIS HELPED YOU PLS MARK ME BRAINLIEST I NEED IT
Let f and g be the functions defined by f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2. There are two regions on the interval 0 x 2 which are enclosed / and g. Find the sum of the areas of the enclosed regions. Let h be the vertical distance between the graphs of f and g on 0 x 2. Find the rate at which h changes with respect to x when x = 1.8 .
The sum of the areas of the enclosed regions is 2.004 , and -3.811 the rate at which h changes with respect to x when x = 1.8 .
Given : f(x) = 1 + x + e^x^2 - 2x and g(x) = x^4 - 6.5x^2 + 6x + 2
The graphs of y = f(x) and y = g(x) intersect in the first quadrant at the points (0, 2), (2, 4), and (A, B) = (1.032832, 2.401108).
(a) the sum of the areas of the enclosed regions is given by
Area =
\(\int\limits^A_0[[g(x) - f (x)] dx +\int\limits^2_A [f(x) - g(x)] dx\)
= 0.997427 +1.006919
= 2.004
(b) the sum of the volumes of the enclosed regions is given by
Volume = [[ƒ(x) − g(x)]² dx = 1.283
(c) the rate at which h changes with respect to x when x = 1.8
h(x) = f(x) = g(x)
h'(x) = f'(x) - g'(x)
h'(1.8) = f'(1.8) g'(1.8)
=-3.812 (or -3.811)
Hence , the sum of the areas of the enclosed regions is 2.004 , and -3.811 the rate at which h changes with respect to x when x = 1.8 .
Learn more about enclosed regions at :
https://brainly.com/question/25923985
#SPJ4
Probability with a Deck of Cards
These questions are based on a 52 card deck without Jokers.
1) Find the probability of drawing a Spade 7 throuoh© on the first draw,. replacing it and drawing a 7 card on the second draw.
Answer:
52-1= 51
51/7=7.2857
= 1
Step-by-step explanation:
Determine the Laplace transforms of: a. f(t)=cos[ϖ(t−t
o
)]u(t−t
o
) F(s)=e
−t
o
s
s
2
+ϖ
2
s
b. f(t)=3δ(t)+3u(t)+sin(5t)u(t) F(s)=3+
s
3
+
s
2
+25
5
2. Calculate f(t) for the function
F(s)=
s(s
2
+4s+5)
(s+1)
.
G(s)=
(s+b)
2
+ω
2
s+c
f(t)=[
5
1
+.632e
−2t
cos(t−108.4]u(t)
g(t)=[e
−bt
cos(ωt)+
ω
c−b
e
−bt
sin(ωt)]u(t)
a. The Laplace transform of f(t) = cos(ω(t−to))u(t−to) is F(s) = e^(-to*s) * s / (s²+ ω²). b. The Laplace transform of f(t) = 3δ(t) + 3u(t) + sin(5t)u(t) is F(s) = 3 + 3/s + 5/(s²+ 25). c. The inverse Laplace transforms are: For F(s) = s(s²+ 4s + 5)/(s+1), f(t) = t² + 5t + 8δ(t) + 2e^(-t). For G(s) = (s+b)² + ω²/(s+c), g(t) = t² + 2bt + b²δ(t) + ω^2e^(-ct).
a. Given f(t) = cos(ω(t−to))u(t−to), where u(t) is the unit step function, we can find its Laplace transform F(s) as follows:
F(s) = L{f(t)} = ∫[0,∞] cos(ω(t−to))u(t−to)e^(-st) dt
To evaluate this integral, we split it into two parts based on the unit step function:
F(s) = ∫[0,to] cos(ω(t−to))e^(-st) dt + ∫[to,∞] cos(ω(t−to))e^(-st) dt
The first integral evaluates to zero since cos(ω(t−to)) is zero for t < to.
For the second integral, we substitute u = t−to, which gives us dt = du. Also, we substitute t = u+to:
F(s) = ∫[0,∞] cos(ωu)e^(-s(u+to)) du
F(s) = e^(-sto) ∫[0,∞] cos(ωu)e^(-su) du
Using the definition of the Laplace transform of cosine function, we have:
F(s) = e^(-sto) * s / (s² + ω²)
Therefore, the Laplace transform of f(t) is F(s) = e^(-to*s) * s / (s² + ω²).
b. Given f(t) = 3δ(t) + 3u(t) + sin(5t)u(t), where δ(t) is the Dirac delta function and u(t) is the unit step function, we can find its Laplace transform F(s) as follows:
F(s) = L{f(t)} = 3L{δ(t)} + 3L{u(t)} + L{sin(5t)u(t)}
The Laplace transform of δ(t) is 1, and the Laplace transform of u(t) is 1/s.
Using the Laplace transform of sin(ωt), we have:
F(s) = 3(1) + 3(1/s) + L{sin(5t)} * L{u(t)}
F(s) = 3 + 3/s + (5/(s² + 5²))
Simplifying further:
F(s) = 3 + 3/s + 5/(s² + 25)
Therefore, the Laplace transform of f(t) is F(s) = 3 + 3/s + 5/(s² + 25).
c. Given F(s) = s(s² + 4s + 5)/(s+1) and G(s) = (s+b)² + ω²/(s+c), we want to find the inverse Laplace transforms f(t) and g(t) respectively.
Using partial fraction decomposition, we can write F(s) as:
F(s) = s(s² + 4s + 5)/(s+1) = s² + 4s + 5 + (s² + 4s + 5)/(s+1)
To simplify further, we write (s² + 4s + 5)/(s+1) as s + 3 + 2/(s+1):
F(s) = s² + 4s + 5 + s + 3 + 2/(s+1)
F(s) = s²+ 5s + 8 + 2/(s+1)
The inverse Laplace transform of s^2 + 5s + 8 is the function f(t) that we want to find.
By using the linearity property of the inverse Laplace transform, we can take the inverse Laplace transform of each term separately:
L^-1{s²} = t²,
L^-1{5s} = 5t,
L^-1{8} = 8δ(t),
L^-1{2/(s+1)} = 2e^(-t).
Combining these terms, we have:
f(t) = t² + 5t + 8δ(t) + 2e^(-t).
For the function G(s), we can write it as:
G(s) = (s+b)² + ω²/(s+c) = (s² + 2bs + b² + ω²)/(s+c)
Using partial fraction decomposition, we can express it as:
G(s) = (s² + 2bs + b² + ω²)/(s+c) = (s² + 2bs + b²)/(s+c) + ω²/(s+c)
The inverse Laplace transform of (s² + 2bs + b²)/(s+c) is the function g(t) that we want to find.
By using the linearity property of the inverse Laplace transform, we can take the inverse Laplace transform of each term separately:
L^-1{s²} = t²,
L^-1{2bs} = 2bt,
L^-1{b²} = b^2δ(t),
L^-1{ω²/(s+c)} = ω^2e^(-ct).
Combining these terms, we have:
g(t) = t² + 2bt + b²δ(t) + ω^2e^(-ct).
To know more about Laplace transform refer here
brainly.com/question/31481915
#SPJ11
Which expression is equivalent to
P
O 16/45
O√√25
02
04
4
54
4
4112
112
?
The answer is 4^2. Step-by-step explanation: This is because 4 squared is 4*4 which equals 16.
2/3y + 15 = 9
What are the steps for this question
Answer:
see below
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 from each side
2/3y + 15-15 = 9-15
2/3y = -6
Multiply each side by 3/2 to isolate y
3/2 * 2/3y = -6 *3/2
y = -9
Answer:
y = - 9
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 on both sides.
2/3y = 9 - 15
2/3y = - 6
Multiply both sides by 3/2.
y = - 6 × 3/2
y = -18/2
y = -9
Suppose you roll a special 37-sided die. What is the probability that one of the following numbers is rolled? 35 | 25 | 33 | 9 | 19 Probability = (Round to 4 decimal places) License Points possible: 1 This is attempt 1 of 2.
Answer:
5/37
Step-by-step explanation:
There are 37 possible outcomes when rolling a 37-sided die, so the probability of rolling any one specific number is 1/37.
To find the probability of rolling any of the given numbers (35, 25, 33, 9, or 19), we need to add the probabilities of rolling each individual number.
Probability of rolling 35: 1/37
Probability of rolling 25: 1/37
Probability of rolling 33: 1/37
Probability of rolling 9: 1/37
Probability of rolling 19: 1/37
The probability of rolling any one of these numbers is the sum of these probabilities:
1/37 + 1/37 + 1/37 + 1/37 + 1/37 = 5/37
So the probability of rolling any of the given numbers is 5/37, which is approximately 0.1351 when rounded to four decimal places.
PLEASE DROP A CORRECT ANSWER!!
Answer:
C
Step-by-step explanation:
you keep the base the same which is 7 . Then add the exponets (small numbers) then you will get 11. Therefore, you put the base 7 over 11.
if 20% of ms.moore's class earned a d how many of her 30 students earned a d what percent of students earned a different grade
Answer:
6 students earned a d and 80% got other
Step-by-step explanation:
Answer:
6 students, 80% of students
Step-by-step explanation:
20% of her 30 students earned a D. To find exactly how many students earned a D, we can convert the 20% into a fraction and thereby multiply the fraction by 30.
\(20\)%\(=\)
\(\frac{20}{100}=\\\frac{1}{5}\)
Ok, \(\frac{1}{5}\) of Ms. Moore's 30 students earned a D. Let's multiply.
\(\frac{1}{5}*\frac{30}{1} =\\6\)
6 students in Ms. Moore's class earned a D.
Therefore, the rest of the class earned a different grade. \(30-6=24\) students had a different grade. To find the percentage, we simply divide by the total number of students and multiply by 100%
\(\frac{24}{30} =\\\frac{4}{5} =\\0.8=\)
\(80\)%
80% of students in Ms. Moore's class got a grade other than D.
I hope this helps! Let me know if you have any questions :)
At sunrise on Tuesday, the temperature in Madison, Wisconsin was −2°c. Part A: By noon, the temperature in Madison, Wisconsin increased by 23°c. What was the temperature in Madison, Wisconsin at noon? _________ °c
Answer:
21 degrees celsius
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
At sunrise the temperature was : -2°c
By Noon the temperature increased by : 23°c
The temperature in Madison, Wisconsin at noon was 23 + (-2) =21°c
help.? geometry basics homework 2: segment addition postulate
The value of x is 3 given that ST = 8x + 11 and TU = 12x-1
The point that bisects a line divides the line into two equal parts
If T is the midpoint of SU, the following are true:
ST = TUST + TU = SUGiven the following
ST = 8x + 11
TU = 12x-1
Since ST = TU
8x+11 = 12x-1
8x - 12x = -1 - 11
-4x = -12
x = 12/4
x = 3
Hence the value of x is 3 given that ST = 8x + 11 and TU = 12x-1
Learn more here: https://brainly.com/question/17204733
Answer:
QS = 34
Step-by-step explanation:
Question: 12
1. 5x - 3 = 21 - x
2. 6x = 24
3. x = 4
so; 5(4)-3 = 17 and 21-4=17
Which means 17+17 = QS
QS=34
According to the banker's rule, if johnny makes $90,000 per year running his own auto shop, how
much can he afford to borrow on a mortgage for a new house?
The amount that Johnny can borrow on a mortgage for a new house, given the Banker's Rule is between $225,000 to $270,000.
How much can Johnny borrow ?The Banker's Rule is a rule of thumb used to determine how much a person can afford to borrow on a mortgage. According to the Banker's Rule, a person should not borrow more than 2.5 to 3 times their annual income for a mortgage.
Using this rule, if Johnny makes $90,000 per year, he can afford to borrow between $225,000 to $270,000 on a mortgage for a new house. However, this is a rough estimate, and other factors such as credit score, debt-to-income ratio, and the lender's requirement also play a role in determining how much Johnny can borrow.
Find out more on the Banker's Rule at https://brainly.com/question/9390086
#SPJ1