The value of integers m and n is 17 and 32 respectively.
Here, we are given that in a five-team tournament, each team plays one game with every other team.
Chance of winning = 50% or 1/2
We need to find the probability that at least one team wins all games or at least one team loses all games. We can use complementary counting to do so.
Each team will play 4 matches.
Probability that there is one team which wins all games = [tex]5*1/2^{4}[/tex]
= 5/16
Similarly, the probability that there is one team which loses all games = 5/16
The probability that one team wins all games and another team loses all games = [tex][5(1/2)^{4} ][4(1/2^{3})][/tex]
= (5/16)(4/8)
= 5/32
Now, 5/16 + 5/16 - 5/32 = 15/32
Since this is the complement of the probability we want, we subtract it from 1 to get (1- 15/32) = 17/32
Thus, the value of integers m and n is 17 and 32 respectively.
Learn more about probability here-
https://brainly.com/question/25870256
#SPJ4
a grocery store manager computes the average amount of money spent on produce per visit, this is an example of what kind of data?
This is an example of discrete data because this data cannot be broken into decimals.
which of the following calculations is not derived from the confidence interval? question content area bottom part 1 choose the correct answer below. a. difference between the limits, 2e b. the population mean, c. the margin of error, e d. the point es
Among the following, the population mean u = (upper confidence limit) + (lower confidence limit) is not derived from the confidence interval.
A confidence interval is defined as the range of values that we observe in our samples and for which we expect to find the value that accurately reflects the population.
In frequentist statistic, a confidence interval is a range of estimates for an unknown parameter.
To find a confidence level for a data set by taking half of the size of the confidence interval, multiplying it by the square root of the sample size and then dividing by the sample standard deviation.
Confidence level refers to the percentage of probability,or certainty, that the confidence interval would contain the true population parameter when you draw a random sample many times. The most common confidence levels are 90%, 95% and 99%.
To know more about confidence interval here
https://brainly.com/question/22424026
#SPJ4
g in a class of 30 children, 20 take latin, 14 take greek, and 10 take hebrew. if no child takes all three languages and eight children take no language, how many children take greek and hebrew?
The number of children take greek and hebrew = 2
In this question, we have been given that in a class of 30 children, 20 take latin, 14 take greek, and 10 take hebrew.
So, n(s) = 30
Let set a: children taking Latin language
n(a) = 20
set b: children taking Greek language
n(b) = 14
set C: children taking Hebrew language
n(c) = 10
no child takes all three languages
⇒ n(a ∩ b ∩ c) = 0
And eight children take no language
⇒ n(S) - n(a ∪ b ∪ c) = 8
So, n(a ∪ b ∪ c) = 8
This means, 22 children taking languages.
Of those 22 kids, 14 take Greek and 10 take Hebrew.
14+10 = 24
This means, at least 2 children must taking Greek and Hebrew.
Since no child takes all three languages, the children taking Greek and Hebrew can't be taking Latin. Since 20 of the 22 kids are taking Latin, that means at most 2 are taking Greek and Hebrew.
Therefore, 2 children take greek and hebrew
Learn more abou the set here:
https://brainly.com/question/1429790
#SPJ4
question what is the hundredths digit of the decimal z ? (1) the tenths digit of 100z is 2. (2) the units digit of 1,000z is 2.
We can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.
What do we mean by a decimal?The decimal numeral system is widely used to express both integer and non-integer numbers.
The Hindu-Arabic number system has been expanded to include non-integer values.
The way of representing numbers in the decimal system is known as decimal notation.
(1) Since 2 is the eleventh digit of 100z, we may begin writing 100z.
10z = 100(a.bcd)
The decimal point is moved two places to the right by multiplying by 100, giving us the value of:
10z = 100abc.d
Then we shall have d = 2 if the tenths of 100z equal 2.
We have so far: z = a.bc2
(2) Since 1000z's units digit is 2, we may begin writing 1000z.
1000z = 1000a.bc2
We need to move the decimal point three places to the right so that we have order to multiply by 1000:
1000z = abc2
As a result, we can now confirm that the unit digit is actually 2.
However, the number is as follows: z = a.bc2
Therefore, we can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.
Know more about decimals here:
https://brainly.com/question/1827193
#SPJ4
john drove for 3 hours at a rate of 50 miles per hour and for 2 hours at 60 miles per hour. what was his average speed for the whole journey?
The average speed is 54 miles per hour.
What is average ?
In plain English, an average is one number chosen to represent a list of numbers. It is often calculated by dividing the total number of numbers in the list by the number of numbers in the list. As an illustration, the sum of the integers 2, 3, 4, 7, and 9 is 5.
The definition of the average is the mean value, which is the ratio of the sum of the values in a given set to the total number of values in the set.
The formula for distance is
Distance = Rate × Time
Total distance = 50 × 3 + 60 × 2 = 270
Total time = 3 + 2 = 5
Using the formula:
[tex]Speed = \frac{Distance}{Time}[/tex]
= 270 / 5
= 54
To learn more about average from the given link
https://brainly.com/question/20118982
#SPJ4
a grocery store company wanted to know how well some of their local stores were doing. in order to find out, they hired 6 different reviewers to rate 15 local stores. what are the degrees of freedom?
The degrees of freedom here is 5.
Given,
A grocery store company wanted to know how well some of their local stores were doing.
The number of sample reviewers they hired to rate 15 local stores = 6
We have to find the degrees of freedom;
Degrees of freedom;-
The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the number of items in the data sample.
Here,
Degrees of freedom = n - 1
n = 6
Then,
Degrees of freedom = 6 - 1 = 5
That is,
5 is the degrees of freedom in this case.
Learn more about degrees of freedom here;
https://brainly.com/question/16254305
#SPJ4
3. Gina was working in the laboratory on an experiment involving the population of bacteria. If her initial starting amount in a petri dish was 125 bacteria, how many would be in the petri dish after 24 hours? Show your work
The number of bacteria in the petri dish after 24 hours will be y = 125 + 24x
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.Given is Gina was working in the laboratory on an experiment involving the population of bacteria. Her initial starting amount in a petri dish was 125 bacteria.
Assume that each hour the bacteria rises by [x] bacteria per hour. Then,
the number of bacteria in the petri dish after 24 hours will be -
y = 125 + 24x
Therefore, the number of bacteria in the petri dish after 24 hours will be y = 125 + 24x.
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ1
At a lunch counter, 1/3 liter of soup is served with each sandwich and soup combo. The cook made 16 liters of soup to serve with sandwiches as part of the combo.
How many sandwich and soup combos can be served?
The sandwich and soup combos that can be served is 48.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this case, 1/3 liter of soup is served with each sandwich and soup combo.
Since the cook made 16 liters of soup to serve with sandwiches as part of the combo. The sandwich and soup combination will be:
= 16 ÷ 1/3.
= 16 × 3
= 48
Learn more about fractions on:
brainly.com/question/78672
#SPJ1
[tex]-3\sqrt{12} + 2\sqrt{3} +3\sqrt{6}[/tex]
Can you help me too???????
Find the missing value in each row. Use the percent equation. Principal (P) $100 $500 $200 :1 1. Interest Rate (r) 5% 4% 10% Time in Interest years (1) years (1) Earned (1) 3 7 2 $20 $35 $6
The missing values are as shown below:
A.) 15
B.) 1 year
C.) $50
D.) 1.5%
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
The percentage equation goes thus:
Interest earned = principal * rate * time
A)
Principal: $100 Interest rate: 5% Time in years: 3 Interest earned
Interest earned = $100 * 0.05 * 3
Interest earned = $15
B.)
Principa;" $500 Interest rate: 4% Time in years: interest earned: $20
Interest earned = principal * rate * time
20 = 500 * 0.04 * time
20 = 20 * time
Time = 20 / 20 = 1
Time = 1 year
C.)
Principal: Interest rate:10% Time in years: 7 Interest earned:$35
Interest earned = principal * rate * time
$35 = principal * 0.1 * 7
$35 = principal * 0.7
Principal = $35 / 0.7
Principal = $50
D.)
Principal: $200 Interest rate: Time in years:2 Interest earned: $6
Interest earned = principal * rate * time
$6 = $200 * rate * 2
$6 = $400 * rate
Rate = $6/$400
Rate = 0.015 = 1.5%
To Learn more about the percentage form the link:
https://brainly.com/question/19247356
#SPJ1
translate each of the following multiplicative expressions into its additive counterpart. assume that the operation is commutative. a. a2b3 b. a22(b21c)2 c. (ab2)23c2 5 e
The additive counterpart of given expressions are (2a+3b), -2a+2(-b+c), and -3(a+2b)+2c=0.
When two numbers may be added together or multiplied, regardless of the order in which they are entered, the result is said to be commutative. There are different formulas available for the conversion of multiplicative expressions to their additive counterparts.
a) The first expression is a²b³. This expression is written as aabbb. This is of the form ab and its corresponding additive counterpart is of the form a+b.
Then, a+a+b+b+b=2a+3b.
b) The second expression is a⁻²(b⁻¹c)². This expression is of the form a⁻¹ and its corresponding additive counterpart is of the form -a.
Then,
[tex]\begin{aligned}a^{-2}(b^{-1}c)^2&=a^{-1}a^{-1}(b^{-1}c)(b^{-1}c)\\&=-a-a-b+c-b+c\\&=-2a+2(-b+c)\end{aligned}[/tex]
c) The third expression is (ab²)⁻³c²=e. This expression is first expanded as, (ab²)⁻¹(ab²)⁻¹(ab²)⁻¹c²=e. Using property, (xy)⁻¹=y⁻¹x⁻¹.
Then,
[tex]\begin{aligned}((b^2)^{-1}a^{-1})((b^2)^{-1}a^{-1})((b^2)^{-1}a^{-1})c^2&=e\\(b^{-2}a^{-1})(b^{-2}a^{-1})(b^{-2}a^{-1})c^2&=e\end{aligned}[/tex]
Also, the additive identity to e is zero. And, aⁿ=na.
Then,
(-2b-a)+(-2b-a)+(-2b-a)+2c=0
Simplifying we get,
-3(a+2b)+2c=0.
The answers are (2a+3b), -2a+2(-b+c), and -3(a+2b)+2c=0.
The complete question is -
Translate each of the following multiplicative expressions into its additive counterpart. assume that the operation is commutative
a. a²b³
b. a⁻²(b⁻¹c)²
c. (ab²)⁻³c²=e
To know more about commutative:
https://brainly.com/question/778086
#SPJ4
A child stands on a bathroom scale while riding in an elevator. The child's weight when the elevator is not moving is 100 Ibs. What does the scale read when the elevator accelerates upward while travelling downward?
The scale reads more than 100 pounds of force when the elevator speeds upward while moving downward.
Explain the term gravitational force?The gravitational force, which is what pushes mass-containing objects toward one another. We frequently consider the pull of gravity from the Earth. Your body is kept on the ground by this force.However, all mass-bearing objects are pulled toward one another by gravity.Gravity pulls downward while the lift is not in motion, as shown by the reading on the scale of;
F = m g
F = 100 lbs force.
When the lift begins to rise quickly, the child's normal response force increases by (ma)
Net weight on the scale becomes;
F = m g + m .
Scale will thus display weight that is larger than 100 lbs. force.
To know more about the gravitational force, here
https://brainly.com/question/72250
#SPJ4
Given the least-squares regression line, In(Element) = 2.305 -0.101(Time), what is the predicted amount of an
unstable element that is left after 6 years?
and explanation
The predicted amount of an unstable element that is left after 6 years is 5.46 grams.
Explain the least-squares regression line?A least-squares regression line, that minimizes the vertical distance between the data points and the regression line, is the line that best fits a linear relation between two variables when the data indicates such a relationship.For the stated question-
The equation for the least-squares regression line, is;
In(Element) = 2.305 -0.101(Time)
Amount of unstable element left after time t = 6 years.
In (Element) = 2.305 -0.101(6)
ln (Element) = 1.699
(Element) = e¹°⁶⁹⁹
(Element) = 5.46
Thus, the predicted amount of an unstable element that is left after 6 years is 5.46 grams.
To know more about the least-squares regression line, here
https://brainly.com/question/14563186
#SPJ1
[tex]2x^2-4x+3=0[/tex]
Solve the quadratic equation using the quadratic formula or completing the square. Show exact answers in simplified, radical form; no rounded decimals.
**Show steps
The solution to the quadratic equation using quadratic formula is X has a negative value x is undefined with no real solution.
x= [tex]\frac{4 + 3.41i}{4}[/tex] or x= [tex]\frac{4 - 3.14i}{4}[/tex]
Using quadratic formula to solve the equation
[tex]x = \frac{-b +or - \sqrt{b^{2}-4ac } }{2a}[/tex]
2x^2-4x +3 = 0
All equations of the form ax^2+bx+c=0 can be solved using the quadratic formula:
The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.
we need to identify a, b and c
from the quadratic equation a = 2, b= -4 and c=3
[tex]x = \frac{-b +or - \sqrt{b^{2}-4ac } }{2a}[/tex]
Substitute the value of a, b and c into the equation
[tex]x = \frac{-(-4) ± \sqrt{(-4^{2} - 4(2)(3)} }{2(2)}[/tex]
[tex]x=\frac{ 4 ± \sqrt{16 -28} }{4}[/tex]
x= [tex]\frac{4+\sqrt{-12} }{4}[/tex] or x= [tex]\frac{4-\sqrt{-12} }{4}[/tex]
x= [tex]\frac{4 + 3.41i}{4}[/tex] or x= [tex]\frac{4 - 3.14i}{4}[/tex]
Since X has a negative value x is undefined with no real solution.
Learn more about quadratic equation here: https://brainly.com/question/1214333
#SPJ1
Answer:
[tex]x=\dfrac{2+\sqrt{2}\: i}{2}, \quad x=\dfrac{2-\sqrt{2}\: i}{2}[/tex]
Step-by-step explanation:
Given quadratic equation:
[tex]2x^2-4x+3=0[/tex]
When completing the square for a quadratic equation in the form ax²+bx+c=0, first move the constant to the right side of the equation:
[tex]2x^2-4x=-3[/tex]
Divide both sides of the equation by the coefficient of x²:
[tex]x^2-2x=-\dfrac{3}{2}[/tex]
Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:
[tex]x^2-2x+\left(\dfrac{-2}{2}\right)^2=-\dfrac{3}{2}+\left(\dfrac{-2}{2}\right)^2[/tex]
Simplify:
[tex]x^2-2x+1=-\dfrac{3}{2}+1[/tex]
[tex]x^2-2x+1=-\dfrac{1}{2}[/tex]
Factor the perfect square trinomial on the left side:
[tex](x-1)^2=-\dfrac{1}{2}[/tex]
Square root both sides:
[tex]\sqrt{(x-1)^2}=\sqrt{-\dfrac{1}{2}}[/tex]
[tex]x-1=\pm\sqrt{-\dfrac{1}{2}}[/tex]
Simplify:
[tex]x-1=\pm\sqrt{\dfrac{1}{2} \cdot -1}[/tex]
[tex]x-1=\pm\sqrt{\dfrac{1}{2}} \sqrt{-1}[/tex]
[tex]x-1=\pm\dfrac{1}{\sqrt{2}} i[/tex]
[tex]x-1=\pm\dfrac{\sqrt{2}}{2} i[/tex]
Add 1 to both sides:
[tex]x=1\pm\dfrac{\sqrt{2}}{2} i[/tex]
[tex]x=\dfrac{2}{2}\pm\dfrac{\sqrt{2}}{2} i[/tex]
[tex]x=\dfrac{2\pm\sqrt{2}\: i}{2}[/tex]
Therefore, the solutions of the given quadratic equation using the method of completing the square are:
[tex]x=\dfrac{2+\sqrt{2}\: i}{2}, \quad x=\dfrac{2-\sqrt{2}\: i}{2}[/tex]
Learn more about completing the square here:
brainly.com/question/28819535
(Solving Equations Using Square and Cube Roots LC)
Solve z3 = 8.
The value of z after solving the equation z³ = 8 is 2.
Define cube root.The result of a number (x) being multiplied three times is referred to as the cube of that number. The phrase "cube root" in mathematics means "the number that needs to be multiplied three times in order to acquire the original number." Let's now examine the cube root formula, in which y is equal to the cube root of x. ∛x = y. Any integer can be represented as the cube root by the radical sign ∛, which has a little 3 written on the top left of the sign. Writing 1/3 as a number's exponent is another method to represent a cube root.
The given equation
z³ = 8
The number 8 can be written as
8 = 2 × 2 × 2
= 2³
So,
z³ = 2³
So, comparing both sides, we get
z = 2
This is the solution to the equation.
To know more about cube roots, visit:
https://brainly.com/question/28259675
#SPJ1
Amber is given a Stanford-Binet intelligence test. Her mental age is determined to be 14, and her chronological age is 10. Which of the following is true of Amber? A) Her IQ score is 86. B) Her IQ score is about average. C) Her IQ score is below the majority of the population. D) Her IQ score is above the majority of the population types of intelligence.
The correct option is . D) Her IQ score is above the majority of the population types of intelligence.
IQ is an abbreviation for intelligence quotient. IQ tests are used to assess people's intellectual abilities and potential. They are intended to test a wide range of cognitive abilities, including reasoning, logic, and problem-solving.
It's a test of intelligence, which you're born with. It is not a test of knowledge that represents what you learn in school or through life experience.
Amber's mental age = 14
Amer's age = 10
Then her IQ can be calculated by
[tex]IQ=\frac{mental\ age}{chronological\ age}*100=\frac{14}{10}*100=140[/tex]
Average IQ of majority of population is between 85 to 115.
Only small percentage of population has IQ score higher than 130.
It means Amber's IQ score is above the majority of the population.
To learn more about fractions refer here
https://brainly.com/question/10354322
#SPJ4
Solve for h:
2h-4x=-6y
Please provide steps also
Answer:
h = -3y + 2x
Step-by-step explanation:
Add 4x to both sides of the equation.
2h = −6y + 4x
Divide each term in 2h = −6y + 4x by 2 and simplify.
Divide each term in 2h = −6y + 4x by 2.
2h/2 = -6y/2 + 4x/2
Simplify the left side.
h = −6y/2 + 4x/2
Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.
h = -3y+2(2x)/2
Cancel the common factors.
Factor 2 out of 2.
h = -3y+2(2x)/2(1)
Cancel the common factor
h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1
Divide 2x by 1.
h = -3y + 2x
hopefully its right LOLZ
Marcus and his friend james go to a festival marcus buys one game of miniature golf and 3 ride bracelets for a total of $26 james buys one game of miniature golf and 5 ride bracelets for a total of $38 write a system of equations that models the situation and find the price of the miniature golf game and the price of a ride bracelet
The system of equations that models the situation are:
g + 3b = $26
g + 5b = $38
The price of one miniature golf game is $8 and the price of one bracelet price is $6
What is the price of the miniature golf game and the price of one ride bracelet?g + 3b = $26 equation 1
g + 5b = $38 equation 2
Where:
g = price of one miniature golf game b = price of one braceletThe elimination method would be used to solve the equations.
in order to determine the value of b, subtract equation 1 from equation 2
2b = 12
Divide both sides of the equation by 2
b = 12 /2
b = 6
In order to determine the value of g, substitute for b in equation 1:
g + 3(6) = $26
g + 18 = $26
g = $26 - $18
g = $8
To learn more about system of equations, please check: https://brainly.com/question/25875552
#SPJ1
Q(t)=4000(4)t^3
. Write an equivalent function of the form Q(t)=ab^t.Q(t)=abt
The equivalent form of the function is [tex]Q(t)=4000(64)^t[/tex]
How to determine the equivalent form of the function?The equation of the function, according to the question is given as
Q(t)=4000(4)3t
This equation can be properly rewritten as
Q(t)=4000(4)³⁺
Express 4 as a radical expression
So, we have the following representation
Q(t)=4000(4³)⁺
Evaluate the exponent in the above expression
Q(t)=4000(64)⁺
The above expression cannot be further simplified
Hence, the solution to the exponential expression is Q(t)=4000(64)⁺
Read more about exponential expressions at
https://brainly.com/question/2456547
#SPJ1
Complete question
Q(t)=4000(4)3t.
Write an equivalent function of the form Q(t)=ab^t.
the weights of salmon grown at a commercial hatchery are nor- mally distributed with a standard deviation of 1.2 pounds. the hatchery claims that the mean weight of this year’s crop is at least 7.6 pounds. sup- pose a random sample of 16 fish yields an average weight of 7.2 pounds. is this strong enough evidence to reject the hatchery’s claims at the 5 percent level of significance? how about 1 percent level of significance? what is the p-value?
Since pp-value is greater than all considerable significance levels (alpha = 0.05, 0.01α=0.05,0.01), we fail to reject the null hypothesis. In order words, we do not have enough evidence to disapprove hatchery's claims.
What is hypothesis?A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). A straightforward hypothesis is a claim that expresses the relationship between precisely two variables. a dependent and a single independent. Take the statement "Smoking is a significant cause of lung cancer" as an example. Smoking is an independent variable that influences the dependent variable, lung cancer.
To know more about hypothesis,
https://brainly.com/question/29519577
#SPJ4
Find the equation that represents the proportional relationship in this graph, for y in terms of x.
The equation that represents the proportional relationship in this graph is y = 2 / 7 x.
How to find proportional relationship?Two variables have a proportional relationship if all the ratios of the variables are equivalent.
A proportional relationship is one in which two quantities vary directly with each other.
We say the variable y varies directly as x if:
y = kxfor some constant k , called the constant of proportionality .
Therefore, the variables in this case are y and x.
Hence, let's find k using the coordinates on the graph
(0.7, 0.2)
0.2 = k (0.7)
k = 0.2 / 0.7
k = 2 / 7
Hence,
y = 2 / 7 x
learn more on proportional relationships here: https://brainly.com/question/20213987
#SPJ1
You deposit $200 in an account that earns simple interest at an annual rate of 3%. How much money is in the account after 3 years?
The account balance after 3 years will be $218.
What is simple interest?The crediting of cash flows connected with an investment or deposit is referred to as "simple" interest.
Given that you deposit $200 in an account that earns simple interest at an annual rate of 3%.
The formula to calculate the simple interest is given below,
SI = ( P x R x T ) / 100
SI = ( 200 x 3 x 3 ) / 100
SI = 2 x 3 x 3
SI = $18
Total account balance = 200 + 18 = $218
Therefore, the account balance after 3 years will be $218.
To know more about simple interests follow
https://brainly.com/question/25793394
#SPJ1
A high school soccer team is going to Columbus, Ohio to see a professional soccer game. A coordinate grid is superimposed on a highway map of Ohio. The high school is at point (2, 5) and the stadium in Columbus is at point (8, 13). The map shows a highway rest stop halfway between the cities. What is the distance between the high school and the stadium? (One unit = 8.6 miles.)
To find the distance between the high school and the stadium, we need to use the distance formula. The distance formula is given by the following equation:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) is the coordinates of the starting point, and (x2, y2) is the coordinates of the ending point.
In this case, the starting point is the high school, which is located at the coordinates (2, 5), and the ending point is the stadium in Columbus, which is located at the coordinates (8, 13). Plugging these values into the distance formula, we get:
d = sqrt((8 - 2)^2 + (13 - 5)^2)
d = sqrt(6^2 + 8^2)
d = sqrt(36 + 64)
d = sqrt(100)
d = 10
Therefore, the distance between the high school and the stadium is 10 units. Since 1 unit is equal to 8.6 miles, the distance between the high school and the stadium is 86 miles.
It's worth noting that the rest stop is located halfway between the high school and the stadium. This means that the distance from the high school to the rest stop is 86/2 = 43 miles, and the distance from the rest stop to the stadium is also 43 miles. This can be verified by using the distance formula to find the distance between the rest stop and the high school, and then between the rest stop and the stadium.
convert 37 base ten to base five
Solve the equation 1 - (-x + 3) =10
Find the sum of the interior angles of a 22-sided polygon.
Group of answer choices
1,980°
2,160°
3,360°
3,600°
Answer:
3600°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 22 , then
sum = 180° (22 - 2) = 180° × 20 = 3600°
Answer:
3360°
Step-by-step explanation:
180n-360= sum of interior angles
26/5 as a mixed number
Answer:
5 1/5
Step-by-step explanation:
you set up the fraction in the division bracket with the denominator staying the same in the final answer. The denominator will go on the inside, and the 5 on the outside.
5 1/5 :)))))))))))))))))))))))))))))))))))))))))))
"write the equation in fully simplfied slope - intercept form" Can someone provide a step by step answer pls.
Step-by-step explanation:
y=Mx+b
M- slope
B- y intercept
1. find slope by choosing 2 point(any 2)
Once you’ve picked 2 point- (X1, y1) (x2, y2) set up the equation to calculate slope
y2-y1 / x2-x1 = m
2. Solve for b
Take any point and plug in the x and y value
Plug in y= (the slope you solved for)(x intercept) + b
3. then write the equation
Y= (slope)x + b
▸
These figures are similar. The perimeter and
area of one are given. The area of the other
is also given. Find its perimeter and round
to the nearest tenth.
Perimeter = 21.3 m
Area = 16 m²
Perimeter [? ]m
Area = 25 m²
Enter
Check the picture below.
bearing in mind that the ratio of the sides of similar figures is the same as the ratio of their perimeters
[tex]\stackrel{\textit{\Large perimeters}}{21.3\hspace{5em}p}\hspace{5em}\stackrel{\textit{\Large areas}}{16\hspace{5em}25} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(21.3)^2}{(p)^2}~~ = ~~\cfrac{16}{25}\implies \left( \cfrac{21.3}{p} \right)^2=\cfrac{16}{25}\implies \cfrac{21.3}{p}=\sqrt{\cfrac{16}{25}}\implies \cfrac{21.3}{p}=\cfrac{\sqrt{16}}{\sqrt{25}} \\\\\\ \cfrac{21.3}{p}=\cfrac{4}{5}\implies 106.5=4p\implies \cfrac{106.5}{4}=p\implies {\Large \begin{array}{llll} 26.625=p \end{array}}[/tex]
Please help with this question
Blank 1: Corresponding because All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.
Blank 2:
Blank 3: x= 46 as 180-134 = 46