Rodrigo surveyed some students at his school about their favorite professional sports,
tennis 13
football 2
soccer 1
What is the experimental probability that the next student Rodrigo talks to will pick
football?
Answers
Related Questions
#11x^2+2x=1a) find the value of b^2- 4ac, and b) determine how many real solutionsquadratic has. Do not solve the quadratic equation.
Answers
Step 1
Given;
\(x^2+2x=1\)Step 2
A) Find the value of b²-4ac
\(\begin{gathered} From\text{ the equation} \\ a=1 \\ b=2 \\ c=-1 \end{gathered}\)\(\begin{gathered} 2^2-4(1)(-1)=4+4=8 \\ b^2-4ac=8 \end{gathered}\)Step 3
B) Determine how many real solutions quadratic has.
\(\begin{gathered} Since\text{ D is greater than is equal to 8 which is greater than 0.} \\ The\text{ quadratic equation has two distinct real roots.} \end{gathered}\)
Using a minimum of three points, create two linear functions. Prove the line created works exclusively with the three points by justifying how the x-value and y-value fit into the equation for the line.
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The equation of the line passing through the point (-1, 1) and (0, 10) is y = 9x + 10
What is a linear function?A linear function is in the form:
y = mx + b
Where y, x are variables, m is the rate of change and b is the y intercept.
From the table, using the point (-1, 1) and (0, 10) ,hence:
\(y-1=\frac{10-1}{0-(-1)} (x-(-1))\\\\y=9x+10\)
The equation of the line passing through the point (-1, 1) and (0, 10) is y = 9x + 10
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Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x
h(g(f(x))) = _______
Answers
Answer:
Step-by-step explanation:
f(x)= 2x + 5
g(2x + 5)= (2x + 5)^2 = 4x^2 + 20x + 25
h(4x^2 + 20x + 25)= -2(4x^2 + 20x + 25)= -8x^2 -40x - 50
Answer
Step-by-step explanation:
4. Ashley claims that if she triples the side length of a square (s), the area of the square will also be tripled. Do you agree? Explain your thinking.
Answers
Answer :-
Let the side of the square measure a cm, thus, according to the question,
New length = 3(a cm)We know that,
➭ Area ( Square ) = a²
Thus, the area of the square with normal length i.e. a cm, will be,
⤳ Area = a x a
⤳ Area = a²
Now, by taking the new length, the area will become,
⤳Area = 3a x 3a
⤳ Area = 9a²
Now,
We observe that, if we divide these, we get,
➤ 9a²/a²
( a² will get canceled since its common )
Thus, the ratio becomes,
➭ 9 : 1 = Area square with tripled length : Area of square
Thus, the area will increase by 9 times, and not 3.
Hence, Ashley's assumptions are wrong.
A box contains exactly five chips, three red and two white. Chips are randomly removed one at a time without replacement until all the red chips are drawn or all the white chips are drawn. What is the probability that the last chip drawn is white
Answers
The probability of this occurring is 4C2/5C2 = 3/5
What is the meaning of probability in math?
Probability is simply how likely something is to happen.Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are.The analysis of events governed by probability is called statistics.Three Types of Probability-
Classical: (equally probable outcomes) Let S=sample space (set of all possible distinct outcomes).Relative Frequency DefinitionSubjective ProbabilityLet's assume we don't stop picking until all of the chips are picked.
To satisfy this condition, we have to arrange the letters: W, W, R, R, R such that both W's appear in the first 4.
We find the number of ways to arrange the white chips in the first 4 and divide that by the total ways to choose all the chips.
Therefore, the probability of this occurring is 4C2/5C2 = 3/5
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What is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001) in standard form?
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The standard form of the given numbers is 207360 × 10¹⁷.
What is a number system?The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Given the numbers is (5 x 1,000,000) (6 x 100,000) (4 x 10,000) (8 x 1,000) (3 x 100) (2 x 10) (4 x 0.1) (9 x 0.001)
Now standard form means we need to write the exponents form.
So,
5 x 6 x 4 x 8 x 3 x 2 x 4 x 9 = 207360
And
1,000,000 x 100000 x 10000 x 1000 x 100 x 10 x 0.1 x 0.001 = 10¹⁷
So, combine 207360 x 10¹⁷
Hence "The standard form of the given numbers is 207360 × 10¹⁷".
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Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
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A restaurant charges $1.30 for one biscuit and two eggs it charges $2.15 for two biscuits in three eggs what is the cost of one biscuit and one egg
Answers
Answer:
$1.85
Step-by-step explanation:
2.15
-1.30
--------
1.85
A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a:_____.
Answers
A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."
What is F-statistics?An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.
Some key features regarding the F-statistics are-
It is comparable to a T statistic from the a T-Test; a T-test would then inform you when a single result is statistically significant, whereas a F test would then tell you if a set of variables is statistically significant.When determining whether your total results are significant, you must use the F statistic in conjunction with the p value. Why? A significant result does not imply that all of your variables have been significant. The statistic is simply comparing the cumulative influence of all the variables.To know more about the F-statistics, here
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how can you use scientific notation to compare the mass of an electron to the mass of a proton
Answers
Answer:
explained below
Step-by-step explanation:
Because the electro has a smaller mass than the mass of the proton, scientific notation is usually used so that the numbers are on the same "scale" but if we see the scientific notation we may be able to identify which is greater and which is less, due to that the exponent is less the number is smaller and on the contrary if the number is greater, it is a larger number.
In the image I leave an example of the use of scientific notation in this area
Please helppp im stuck and i have 1 hour to finish
Answers
The value of y is 42.
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as 1/2 x the sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
In an isosceles trapezoid, the angles on the same line are equal.
This means,
From the figure,
2y = y + 42
Solve for y.
2y = y + 42
2y - y = 42
y = 42
Thus,
The value of y is 42.
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write an expression equivalent to h^6/h^3 in the form of h^m
Answers
Answer:
\(h^3 = h^m\)
Step-by-step explanation:
\(\frac{h^6}{h^3} = h^m\)
6 - 3 = 3
keep the base same, therefore
\(h^3 = h^m\)
Hope this helps!
The equivalent expression for the given expression is h³.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is h⁶/h³.
h⁶ can be written as h³×h³
= h³×h³/h³
= h³
Therefore, the equivalent expression is h³.
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Which fraction below represents a repeating decimal?
Answers
Answer:
22/12
Step-by-step explanation:
thirty automobiles were tested for fuel efficiency in miles per gallon. the following frequency distribution was obtained.
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The calculated mean of the frequency distribution is 20.33
Calculating the mean of the frequency distributionFrom the question, we have the following parameters that can be used in our computation:
The table of the frequency distribution
Start by calculating the class midpoints
So, we have
Midpoints = 10, 15, 20, 25, 30
The mean of the frequency distribution is
Mean = Sum/Count
So, we have
Mean = (10 * 6 + 15 * 5 + 20 * 2 + 25 * 15 + 30 * 2)/(6 + 5 + 2 + 15 + 2)
Evaluate
Mean = 20.33
Hence, the mean is 20.33
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Question
Thirty automobiles were tested for fuel efficiency in miles per gallon. The following frequency distribution was obtained. Calculate the mean.
Class Boundaries Frequency
7.5-12.5 6
12.5-17.5 5
17.5-22.5 2
22.5-27.5 15
27.5-32.5 2
Write an equation and solve!
A number is divided by 7. Thirty-five is added to the quotient. The result is 65. What was the original number?
Answers
Answer:
210
Step-by-step explanation:
Firstly I decided to call the original number 'x'
I then ran through the processes the question stated: x/7 + 35 = 65
The quotient means the result obtained by dividing two numbers so in this case that would be the result of dividing the number by 7
Now I solved 'x' (the original number) using the equation i created
x/7 + 35 = 65
The goal is to get 'x' on one side by itself so i started by taking away 35 from both sides: x/7 + 35 - 35 = 65 - 35
So i ended up with x/7 = 30
Then to get rid of the fraction (i.e. get 7 out of that side of the equation) i multiplied both sides by 7: x/7 multiplied by 7 = 30 multiplied by 7
So i ended up with the answer x = 210
the quotient of 24.5 ÷ 0.8 and 245÷8 is equal to?
Answers
Answer:
Step-by-step expla
24.5 by 0.8 =30.625
245 by 8 = Exact form is =245/8
desimal from is = 30.625
mixed number form is = 30 5/8
farmer sells 6.8 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answers
The total weight of pears farmer sold at market is 2.72 kg with the help of this expression 2/5*6.8 .
What are expressions exactly?
In mathematics, expressions are mathematical claims that consist of at least two sentences that contain numbers, variables, or both, and are linked by an operator in between. Mathematical operations include addition, subtraction, multiplication, and division. For instance, x + y is an equation in which the words x and y are separated by an addition operator. In mathematics, there are two types of expressions: numerical expressions, which include only numbers, and algebraic expressions, which contain both numbers and variables.
e.g. A number is 6 more than half of another number, x. This proposition can be stated mathematically as x/2 + 6. Mathematical expressions are used to answer complex problems.
Now,
As given Total weight of apples and pears = 6.8 kg
and fraction of apples is 3/5 of total weight
then the weight of pears= (1-3/5)*6.8
=2/5*6.8
=2.72kg
Hence,
The total weight of pears farmer sold at market is 2.72 kg
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What is the slope of the line that passes through the points ( 1 , 6 ) and ( 1 , 31 ) ?
Answers
The slope of the line that passes through the points (1,6) and (1,31) is infinity (∞).
According to the question,
We have the following information:
A line is passing through the two points: (1,6) and (1,31).
We know that the following formula is used to find the slope of the line where slope is denoted by m:
m = (y2-y1)/(x2-x1)
In this case, we have the following values:
x1 = 1 and y1 = 6
x2 = 1 and y2 = 31
Putting these values in the above formula:
m = (31-6)/(1-1)
m = 25/0
m = ∞ (infinity)
Hence, the slope of the line that passes through the points (1,6) and (1,31) is infinity (∞).
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a student group plans to donate school supplies for children in an orphanage. if notebooks that are normally 59 cents each are on sale two for 99 cents, how much can be saved by purchasing ten notebooks at the sale price?
Answers
The amount that can be saved by purchasing ten notebooks at the sale price is 95 cents.
What will the price be?The information stated that the notebook are in sale for 2 at 99 cents. The cost for each notebook will be:
= 99 cents / 2
= 49.5 cents
The amount they can be saved will be:
= (59 × 10) - (49.5 × 10)
= 590 - 495
= 95 cents
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find the value of x
Answers
Answer:
65°
Step-by-step explanation:
in frame of reference s, an electron moving along the x-axis has energy 4mc^2 what is the momentum magnitude observed in frame s'
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The momentum magnitude observed in frame s' is √(15m^2c^4).
In special relativity, the relationship between energy (E) and momentum (p) is given by the equation:
E^2 = (pc)^2 + (mc^2)^2
where m is the rest mass of the particle, c is the speed of light, and p is the momentum of the particle.
In frame of reference s, the energy of the electron is given as 4mc^2. Plugging this into the equation, we have:
(4mc^2)^2 = (pc)^2 + (mc^2)^2
Simplifying this equation, we get:
16m^2c^4 = p^2c^2 + m^2c^4
Canceling out the common terms, we have:
15m^2c^4 = p^2c^2
Taking the square root of both sides, we get:
pc = √(15m^2c^4)
The momentum magnitude observed in frame s', denoted as p', is related to the momentum in frame s (p) by the relativistic velocity addition formula:
p' = γ(p - βE/c)
where γ is the Lorentz factor and β is the velocity of frame s' relative to frame s. Since the electron is moving along the x-axis, the velocity β is zero, and the Lorentz factor γ is equal to 1.
Therefore, the momentum magnitude observed in frame s' is the same as the momentum magnitude in frame s:
p' = p
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\([(-2xyx^{2} )x^{3}]x^{2}\)
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Exponent laws The abbreviated formula is -2x7y.
What exponent law is made simpler?This leads to another exponent rule called the Power Rule for Exponents. A power of a power can be made simpler by multiplying the exponents while leaving the base fixed. In this instance, (23)5 equals 215. For any positive number x and integers a and b, (xa)b=xa b holds true.
What are the eleventh grade exponent laws?Exponent laws comprise: Rule of the product of powers: Add the powers together when multiplying like bases. Take off the powers when separating like bases according to the quotient of powers rule. Rule of the power of powers: Add all the powers together when raising a power by another exponent.
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Complete question:
Find the Exponent law of the given formula \([(-2xyx^2)x^3]x^2\) .
One year, Roger and his wife Wilma together earned $67,000. If Roger earned $4,000 more than
Wilma earned that year, how much did each earn?
Answers
Answer:
roger earns 67:00 and Wilma earns 63:00
Step-by-step explanation:
Question
Suppose J=[−1428].
What is the value of ∣∣J∣∣?
Enter your answer in the box.
![QuestionSuppose J=[1428].What is the value of J?Enter your answer in the box.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/HJN0Gs5l8SOihJX4utcoimzkjARAqXVu.png)
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From the information given about the above matrix, the value of |J| is 16.
What is matrix?It is to be noted that a Matrix, is a set of numbers arranged in rows and columns so as to form a rectangular array.
Given that J = [-1428];
Hence, the determinant of the matrix J is:
|J| = |(-1 * 8) - (4 *2)]
|J| = |-8 - 8|
|J| = | 16|
|J| = 16
Therefore, the value of |J| is 16.
Note: The determinant is a scalar variable in mathematics that is a function of the elements of a square matrix. It enables the characterization of some properties of the matrix as well as the linear map represented by the matrix.
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write an algebraic expression for the vernal description!
thanks
37. Finance A family has annual loan payments equal to \( 32 \% \) of their annual income. During the year, the loan payments total \( \$ 15,680 \). What is the family's annual income?
51. Simple Int
Answers
Solving a linear equation we can see that the annual income is $49.000.
How to find the family's annual income?We know that a family has an annual loan equal to 32% of their annual income.
During the year, the loan payment is of $15,680.
So, if the total annual income is X, we can write the linear equation:
0.32*X = $15,680
Now we just need to solve the equation for X, to do so, divide both sides by 0.32, then we will get:
X = $15.680/0.32
X = $49.000.
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value of 8 , and using the foliowing equations for the equibbrium enern. r0=(n0A)t1,E0=−v01+n1n Comaute the values of A and B in these equations. A. A=3.332cV. นm, B=2.335×10−4eV.nm∗ B. A=2.332eV, num, B=3.335×10−4eV⋅nm∗ C. A=2.332eV⋅nm,B=3.335×103eV⋅nm3 D. A=0.332eV rm, B=3.335×10−1eV. rim* E.
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The values of A and B in the given equations of Equilibrium energy and calculations. are A = 2.332 eV·nm and B = 3.335 × 10^−4 eV·nm.
How do we compute the values of A and B?To compute the values of A and B, we need to use the given equations and the given value of 8.
Equation 1: r0 = (n0A)t1
Equation 2: E0 = -v01 + (n1n)
First, let's consider Equation 1. We are given r0 = 8 and we need to find the value of A. Rearranging the equation, we have:
8 = (n0A)t1
To find A, we need to know the values of n0 and t1. However, these values are not provided in the question. Therefore, we cannot determine the exact value of A.
Moving on to Equation 2, we are given E0 = -v01 + (n1n) and we need to find the value of B. Rearranging the equation, we have:
B = (-v01 + E0) / (n1n)
Again, we need the values of v01, E0, n1, and n to compute B. Unfortunately, these values are not given in the question, so we cannot determine the exact value of B either.
Therefore, none of the given options (A, B, C, D, E) accurately represent the values of A and B.
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If h(x)=x2-5x+7 Find the value of h(-5)
Answers
Answer:
hope it helps you.............
Find the equation of a line that passes through points (1, -8) and (4, 4).
a. y=4x+12
b. y=-4x-12
c. y=4x-12
d. y=-4x+12
Answers
Answer:
D igjdghhhgghgjgyigtyytttttrttuu
Answer:
C y = 4x - 12
Step-by-step explanation:
(1,-8) means x=1, y=-8
(4,4) means x=4, y=4
so, for which of the offered equations are both pairs right ?
a -8 = 4x1 + 12 = 16 wrong already for the first pair
b -8 = -4x1 - 12 = -16 wrong already for the first pair
c -8 = 4x1 - 12 = -8 hey, right !
4 = 4x4 - 12 = 16 - 12 = 4. hey, right
d -8 = -4x4 + 12 = -16 + 12 = -4. wrong already for the first pair
so, C describes an equation that covers both points. it is a linear function (no squares or so), and so it is a line function passing through both points.
Please help ill give whoever answers the best the brainliest answer :)))
Answers
Answer:
Step-by-step explanation:
A rational number can be in the form of a whole/natural number, integers, fractions and recurring decimals
In this case, 5 is a whole number, integer (can be a fraction too) , and of course, is a rational number.
As of which options to choose, read the above sentence carefully :)
Answer:
Natural, Integer, Rational, Whole
Step-by-step explanation:
First, we should know the definition of the word choices.
1) Natural Numbers: We can also count it as 'counting numbers'. Natural numbers are numbers that are a whole excluding the number 0. Some examples are 1, 2, 3, 4, 5 ... and so on.
2) Irrationals: They are numbers that cannot be written in a fraction form. Some examples are \(\sqrt{2} , \sqrt{3} , \sqrt{4} , \pi ...\) etc.
3) Integers: They are a whole number that can be a negative, positive, or even a zero. Natural numbers are included in integers. Examples are -2, -1, 0, 1, 2, and so on.
4) Rationals: They are numbers that can be expressed in a fraction form, so it is the opposite of 'irrationals'. Examples are -1/2, 1/2, 2/4, 2/1 ... etc.
5) Whole Numbers: They are numbers that aren't a fraction. It can only be a positive number and a zero, so some examples would be 0, 1, 2, 3, 4, 5 ... and so on.
With these in mind, we can now solve the question. The number 5 is a natural, integer, rational, and a whole number.
Julianne is using a biking app that compares his position to a simulated bike or traveling Julianne’s target speed. When Julianne is behind the simulated biker he has a negative position. I took a screenshot of the problem I am having difficulty with.
Answers
Given
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)To find:
The average speed of Julian.
Explanation:
It is given that,
\(\begin{gathered} Speed=20\frac{km}{h} \\ Time\text{ }taken=15\text{ }minutes \\ Initial\text{ }distance=2\frac{1}{4}km \end{gathered}\)That implies,
\(\begin{gathered} Distance\text{ }traveled=Speed\times Time \\ =20\frac{km}{h}\times15minutes \\ =20\frac{km}{h}\times15(\frac{1}{60})h \\ =20\frac{km}{h}\times\frac{1}{4}h \\ =5km \end{gathered}\)Therefore,
\(\begin{gathered} Average\text{ }speed=\frac{Final\text{ }distance-Initial\text{ }distance}{Time\text{ }taken} \\ =\frac{(5-2\frac{1}{4})km}{\frac{1}{4}h} \\ =\frac{5-\frac{9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =\frac{\frac{20-9}{4}}{\frac{1}{4}}\frac{km}{h} \\ =11\frac{km}{h} \end{gathered}\)Hence, the average speed of Jean is 11 km/h.