Answer:zh 0 89 1 87.6
Step-by-step explanation: 0 89 1 87.6
What is the radius of the circle made by anas brother in the blue car? use 3. 14 and round your answer to the nearest tenth
The radius of Ana's brother's circle in the blue car is 35 feet.
Define the term radius of the circle?A radius is a line segment that connects the center towards the perimeter of a circle or sphere. The radius length remains constant as from center either to point on the circle or sphere's perimeter.For the given question-
The total distance covered by the Ana's brother in the blue car = 220 feet.
Total distance = circumference of the circle.
circumference of the circle = 2 π r
r = radius of the circle.
π = 3.14
Thus,
220 = 2 x 3.14 x r
r = 220 / (3.14 x 2)
r = 35.03
r = 35 feet.
As a result, the radius of Ana's brother's circle in the blue car is 35 feet.
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The complete question-
The missing data from the question is given in diagram attached.
if the probability of pulling a four of hearts from a randomly shuffled deck is 1 / 52, and the probability of pulling a spade from a randomly shuffled deck are 1 / 4, then the probability of pulling a spade or a four of hearts from a randomly shuffled deck is:
The probability of pulling a spade or a four of hearts is 0.264 .
we have , from a deck of cards
probability of pulling a spade = 1/4 = 13/52
probability of not pulling a spade 3/4 = 39/52
probability of pulling a 4 of hearts = 1/52
probability of not pulling a spade = 51/52
we have to find the probability of pulling a spade or a four of hearts from a random shuffled deck
So we can get three cases :
case A :
getting a spade and not getting four of hearts
∴ P (A) = [tex](\frac{13}{52} ) (\frac{51}{52} )[/tex] = 663/2704
case B :
not getting a spade and getting four of hearts
P(B) = [tex](\frac{39}{52}) (\frac{1}{52} )[/tex] = 39/2704
case C :
getting a spade and getting four of hearts
P(C) = [tex](\frac{13}{52})(\frac{1}{52} )[/tex] = 13/2704
therefore , the required probability will become
P = P(A) +P(B) + P(C)
P = 715/ 2704
P = 0.264
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Cesium-137 has a half-life of about 30 years. if we begin with 200 mg of cesium-137, will it take more or less than 230 years until only 1 milligram remains?
For 200mg of Cesium-137, it will be 229 years which is less than 230 years until only 1 milligram remains.
The amount of time a radioactive item takes to decay is known as the material's half-life.
The first-order kinetics for a half-life is given as 0.693 / k.
Given half-life = 30 years,
k = rate-constant =?
30 = 0.693 / k
k = 0.0231 years ⁻¹
The integrated rate law for first-order kinetics is given as follows:
A = A₀[tex]e^{-kt}[/tex]
k = rate constant of the reaction
A₀ = Concentration of reactant initially = 200 mg
A = t = 1 mg
Putting all values in the equation will give,
t = 229 years.
Thus, Cesium takes 229 years to decay to reach from 200milligram to 1 milligram in weight.
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Which system of equations is represented by the graph ?
A. y=x^2+2x+1
2x+y=2
B. y=x^2-2x+1
2x+y=2
C. y=x^2+2x+1
2x+y=2
D. y=x^2-2x+1
2x-y=2
y = x²-2x+1, 2x-y=2 is the system of equations represented by the graph
How to determine the system of equations represented by the graph?
By examining the graph, you will notice that the straight and the curve meet at (3,4) and (1,0) as indicated. The x values of these points of intersection give the solution of the system. Thus:
We have x = 3 and x = 1
These values can be used to form the equation of the system. Thus:
(x-3)(x-1) = 0 (Clear the parenthesis)
x² -x-3x +3 = 0
x² -4x +3 = 0
Next, we are going to check for the option that gives the x² -4x +3 = 0
Given: y = x²-2x+1, 2x-y=2
Rewrite 2x-y=2 to be in form y: y =2x-2
We now have y = x²-2x+1 and y =2x-2
Equate the two y: x²-2x+1 =2x-2
x²-2x+1 -2x+2 = 0
x²- 4x+ 3 = 0
Since y = x²-2x+1, 2x-y=2 gives the same equation, therefore, the system of equations represented by the graph is y = x²-2x+1, 2x-y=2. So option D is the answer
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Alanton is 16 miles from Oakley, 8 miles from Crawford, and 28 miles from Fayeville. How far is Alanton from Bishop?
Two similar triangles have,
The ratio of two sides of one triangle = Ratio of two sides of the other triangle
The distance between Alanton and Bishop is 14 miles.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
Alanton:
16 miles from Oakley.
8 miles from Crawford.
28 miles from Fayeville
We can have two similar triangles as shown below.
Two similar triangles have,
The ratio of two sides of one triangle = Ratio of two sides of the other triangle
AB / AC = DE/ DF
8 / 16 = x / 28
1/2 = x/28
x = 28/2
x = 14
Thus,
The distance between Alanton and Bishop is 14 miles.
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in which of the following african countries is the population growth rate above 2.5% and life expectancy at least 61 years old?
Answer: Ethiopia has a population growth rate above 2.5% and a life expectancy of 61 years old
round off to round off 36 to the nearest day
The product of two fractions is 5/6 .
a) Find three different pairs of fractions that each have a product of 5/6 . Show how you know your answers are correct.
b) Explain why there are more than one pair of fractions that have a product of 5/6
The two fractions which give the product of 5/6 are 1/3 and 5/2.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the fraction is 5 / 6. The two fractions will be calculated as,
5 / 6 = ( 1 / 3) x ( 5 / 2)
The product of the two fractions is,
( 1 / 3) x ( 5 / 2) = 5 / 6
Therefore, the two fractions which give the product of 5/6 are 1/3 and 5/2.
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iq test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individual's iq score is found to be 90. find the z-score corresponding to this value.
The Z score of the individual with IQ 90 is -0.67.
It is given that the scores are Normally distributed.
The mean given is 100 while the standard deviation is 15.
Let the IQ distribution be X.
Hence X follows a Normal distribution X~N(100, 225)
where
100 = mean
225 = standard deviation
To find the Z score we need to convert the following into the standard normal distribution.
To do that we need to follow
Z = ((x - μ) / σ)
here
μ = mean of the distribution = 100
σ = standard deviation of the distribution = 15
x = 90
Hence the Z score is
Z = (90 - 100) / 15
= -10/15
= -0.67
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the first step of writing an equation when given two points is the same for both strategies, slope-intercept or point-slope forms. What would be the first step in finding the equation of the line that passes through (5, 1) and (3, 5)? create a graph using the two points find the slope find the y-intercept substitute one point’s coordinates into either form
The answer to this question is provided in main body.The equation will be as,
What is equation?
an equation could be a formula that uses the sign to attach 2 expressions to indicate that they're equal.
Main Body:
given : points (5,1) and (3,5).
Since slope of line passing through two points
(x₁,y₁ ) and (x ₂ ,y₂ ) is m= (x₂ −x₁)/(y₂ −y₁)
We now find the slope of the line passing through the points (5,1) and (3,5) as shown below:
⇒m= (5-1)/(3-5)
⇒m= 4/-2
⇒m= -2
Therefore, the slope of the line is -2
Now use the slope and point (5,1) to find the y-intercept.
y= mx+b
⇒1= -2(5) +b
⇒1= -10 + b
⇒b= -11
Write the equation in slope intercept form as:
y= mx+b
y = -2x -11
Hence the equation of line is, 2x + y= -11.
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Isaiah need to visit the doctor. The cost of the appointment without insurance is $200. Isaiah has an insurance plan throw his employer with a $50 monthly premium and a $20 copay. How much will Isaiah have to pay his doctor?
The cost of the appointment without insurance is $200. Isaiah has an insurance plan throw his employer with a $50 monthly premium and a $20 copay. then Isaiah will have to pay his doctor $ 20
Insurance co-pay is a pre-determined amount that a person with medical insurance pay every time they use medical services. The co-pay is a dollar amount and usually less than $25. Different insurance companies have varying co-pay amounts for different services, such as doctor visits and prescriptions.
Isaiah will pay $20 for a visit to the doctor, as stated in the policy document. The $50 premium is payable to the insurance company every month to maintain the insurance coverage.
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the probability that a visitor to an animal shelter will adopt a dog is 0.10. out of 9 visits, what is the probability that at least (equal to or more than) 1 dog will be adopted?
The probability of having at least one dog adopted is 0.6126
It is given that the probability to adopt a dog is 0.1
The adoption of the dog here clearly follows a Binomial distribution
ⁿCₓ X pˣ X (1 - p)ⁿ⁻ˣ
where,
n = no. os sample
p = probability of success
x = random variable.
Here the success would be the adoption of a dog, We are given here there were 9 visits
Hence,
n = 9
p = 0.1
1 - p = 0.9
we need to find the probability of the adoption of at least one dog
= P(X ≥ 1)
= 1 - P(X = 0)
Hence we get
P(X = 0)
= ⁹C₀ X 0.1⁰ X 0.9⁹
= 0.3874
Hence,
P(X ≥ 1)
= 1 - 0.3874
= 0.6126
Therefore the probability that at least one dog will be adopted is 0.6126
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Which value of y makes the two matrices inverses of each other?
[6 14]. [-1 -7/2]
[-2-4] [y. 3/2]
-1/2
-5/14
1/2
2
The value of y that makes the two matrices inverse of each other is 1/2
The inverse of a square matrix A, denoted by A⁻¹.
The formula is [tex]\frac{1}{|A|}.adj(A)[/tex]
The product of A and A⁻¹ should be the identity matrix. The identity matrix that results will be the same size as matrix A.
Inverse of given first matrix is
[tex]\left[\begin{array}{cc}6&14\\-2&-4\end{array}\right][/tex]
Determinant = |A| = 6(-4) - (14)(-2)
= -24 + 28
= 4
Adjoint of matrix = [tex]\left[\begin{array}{cc}-4&-14\\2&6\end{array}\right][/tex]
Inverse of matrix = [tex]\frac{1}{|A|}.adj(A)[/tex]
Therefore , Inverse = [tex]\frac{1}{4}.\left[\begin{array}{cc}-4&-14\\2&6\end{array}\right][/tex]
= [tex]\left[\begin{array}{cc}-4/4&-14/4\\2/4&6/4\end{array}\right][/tex]
A⁻¹ = [tex]\left[\begin{array}{cc}-1&-7/2\\1/2&3/2\end{array}\right][/tex]
Is required inverse
If we compare the inverse with second matrix
y = 1 / 2
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Answer:
third option: 1/2
Step-by-step explanation:
2. To paint a house, a painting company charges a flat rate of $500 for supplies, plus
$50 for each hour of labor.
a. How much would the painting company charge to paint a house that needs
hours of labor? A house that needs 50 hours?
Answer:
If a house need 50 hours to paint, it will cost $3000
Step-by-step explanation:
--- According to the problem, $500 is the cost for supplies, which means that for every house, that cost will be there. In other words, this payment never changes no matter the house. So far you pay $500
--- Now, the problem says that you pay $50 for each hour of labor. Since the house need 50 hours, we will multiply 50 (the cost) by 50 (the hours) = 2500.
--- Now we put the payments together. 500 + 2500 = 3000. So it will cost $3000 to paint a house that need 50 hours.
Lucia makes braided key chains out of cotton cord. For every 8 feet of cotton cord she has, she can make 3 braided key chains. Use a model to represent the relationship between the feet of cotton cord and the number of key chains.
(NEED HELP ASAP PLEASE)
A model for representing the relationship between the number of key chains and the number of feet of cotton cord is: 8x - 3y = 0.
Define the term linear equation?Linear equations are first-order equations. Lines with in coordinate system are determined by linear equations. When the equation contains a degree 1 homogeneous variableSince Lucia creates braided key chains from out cotton cord and can create 3 braided key chains per each 8 feet of cotton cord she does have, the following equations must be performed via cross multiplication to symbolize the relationship between both the feet of cotton cord as well as the number of key chains but also obtain the number of cotton cord Lucia requires to achieve 5 key chains:
8 cotton cords = 3 key chains
Let the total length in feet of cotton cords be x.
And the total number of key chain made be y.
Then, the linear equation formed as;
8x = 3 y
8x - 3y = 0
Thus, a model for representing the relationship between the number of key chains and the number of feet of cotton cord is: 8x - 3y = 0.
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Tom bought a bag full of coal. After one week the bag was 2|3 full. During the next week he used of the remaining coal What fraction was left in the bag?
Answer:
None
Step-by-step explanation:
When he first bought the coal, it was full. After one week, he used 1/3, leaving the bag 2/3 full. If he used the remaining coal in the bag, that means he used all of the coal - all two thirds of it.
The fraction of coal left in the bag was zero or none since Tom used the remaining coal.
What is the reasoning?The procedure of utilizing logical reasoning to analyze a condition to determine the best problem-solving approach for a particular issue, then using this approach to create and explain a resolution.
The reasoning is a tricky but interesting problem in mathematics that requires relations of variables to solve.
As per the given,
After one week the bag was 2|3 full
Now remaining coal = 1 -2/3 = 1/3 part
Now, Tom used this remaining amount.
So, 1/3 - 1/3 = 0 part.
Hence "The fraction of coal left in the bag was zero or none since Tom used the remaining coal".
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Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
The equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p are (b) 2.3p – 10.1 = 6.49p – 4 and (c) 230p – 1010 = 650p – 400 – p
How to determine the equations with the same solution?The equation is given as
2.3p – 10.1 = 6.5p – 4 – 0.01p
Evaluate the like terms on the right-hand side
So, we have the following representation
2.3p – 10.1 = 6.49p – 4
The above equation is indicated in option (b)
Multiply through the equation by 100
So, we have:
100(2.3p – 10.1 = 6.5p – 4 – 0.01p)
Evaluate
230p – 1010 = 650p – 400 – p
The above equation is indicated in option (c)
Hence, the equations with the same solution are (b) and (c)
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Partition a line segment in the given ratio.
Point V lies on TU such that TV:UV is 5:2. Graph V.
Check the picture below.
[tex]\textit{internal division of a line segment using ratios} \\\\\\ T(-5,9)\qquad U(9,2)\qquad \qquad \stackrel{\textit{ratio from T to U}}{5:2} \\\\\\ \cfrac{T\underline{V}}{\underline{V} U} = \cfrac{5}{2}\implies \cfrac{T}{U} = \cfrac{5}{2}\implies 2T=5U\implies 2(-5,9)=5(9,2)[/tex]
[tex](\stackrel{x}{-10}~~,~~ \stackrel{y}{18})=(\stackrel{x}{45}~~,~~ \stackrel{y}{10}) \implies V=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-10 +45}}{5+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{18 +10}}{5+2} \right)} \\\\\\ V=\left( \cfrac{ 35 }{ 7 }~~,~~\cfrac{ 28}{ 7 } \right)\implies {\Large \begin{array}{llll} V=(5~~,~~4) \end{array}}[/tex]
Find the value of the variables in the figure.
The value of the variables in figure x and y are 14 and 28.5 respectively.
What is linear pair?Linear pairs of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.
We have been given the following parameters;
The two lines a and b are parallel to each other.
Therefore, Angle (5x - 7) and Angle (3x + 17) are the same because of alternate interior angles.
Thus, (5x - 7) = (3x + 17)
Solving;
(5x - 7) = (3x + 17)
5x - 3x = 17 + 7
2x = 28
x = 14
Now, we can see that Angle (5x - 7) and Angle (4y + 3) makes linear pairs on line A.
Thus, (5x - 7) + (4y + 3) = 180
Substitute x = 14
(5(14) - 7) + (4y + 3) = 180
70 - 7 + 4y + 3 = 180
4y + 66 = 180
4y = 114
y = 28.5
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you and your friend were studying, and you left your cell phone either in the computer lab or in the cafe (these were the only two places you visited). you think that with probability 0.4 it was left in the computer lab, because you always take it out of your backpack there, otherwise, it was left in the cafe. if you left the phone in the computer lab, the probability that someone stole it is 0.3. in the cafe, the probability that someone stole it is twice that of
There is a 0.48 percent chance that your phone will not be found and will therefore be stolen.
Define the law of total probability?A fundamental statistician's rule governing conditional and marginal probabilities is known as the Total Probability Rule/Law of Total Probability. According to the rule, if the chance of an occurrence is uncertain, it can be derived using the probabilities of numerous different instances that have already transpired.Let P(S|L) represent the likelihood that your phone was stolen if you left it in the computer lab.
Let P(S|C) indicate the likelihood that your phone was stolen if you left it at the cafe.
The likelihood that your phone will be stolen can be determined using law of total probability by:
P(S) = P(S|L)P(L) + P(S|C)P(C)
= 0.3 * 0.4 + 0.6 * 0.6
= 0.12 + 0.36
P(S) = 0.48
Therefore, there is a 0.48 percent chance that you won't find your phone and that it was stolen.
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Does the diagram contain enough information to prove that line segment JK is parallel to line segment ML? Explain your answer.
Yes the diagram has enough information to prove that line segment JK is parallel to line segment ML
How to determine of line segment JK is parallel to line segment MLA rectangle is a polygon that has four sides. the two opposite sides are parallel to each other.
The given figure is a rectangle and according to the figure line LK is equal to line JM
This defines a parallel line which are lines that are equally spaced apart such that the lines will never meet
hence line segment JK is parallel to line segment ML since they are equally spaced, the spacing is achieved by line segment LK and line segment JM
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6r+r-4 helpppppp like I need it
The value of the variable r in 6r+ r- 4 will be 4/7.
Given,
To solve the polynomial,
6r + r- 4,
and find the value of the variable r,
we have to convert the polynomial in to a quadratic equation by equating it with 0, or, in other words, making the polynomial equal to zero.
So, the quadratic equation will be,
6r + r- 4 = 0
=> (6r+ r) -4 =0
=> 7r -4 = 0
=> 7r = 4
=> r = 4/7.
Thus, the value of the variable r in the polynomial 6r + r -4 will be 4/7.
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Write equations of the horizontal and vertical lines that pass through (2,3) .
horizontal line:
vertical line:
A vertical line passing through this point has the following equation is x=2 and A horizontal line passing through this point has the following equation is y=3.
Given that,
The point is (2,3).
We have to find the equation of the horizontal and vertical line that pass through point.
Take the point,
(2,3)
The value of x, in this example 2, will never change for a vertical line. This holds true regardless of y's value.
A vertical line passing through this point has the following equation:
x=2
The value of y, in this case 3, for a horizontal line will also never change. This holds true regardless of the value of x.
A horizontal line passing through this point has the following equation:
y=3.
Therefore, A vertical line passing through this point has the following equation is x=2 and A horizontal line passing through this point has the following equation is y=3.
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if two numerical variables x and y have a correlation coefficient of 0.90, what percentage of the variation in one variable can be accounted for by the other variable?
The percentage of variation in variable can be accounted for by the other variable is 81%.
What is variation in statistic?
The statistical distance between the values of the observations (data points) is what makes up a measure of variance. There are various ways to measure variation.
What is correlation coefficient?
A statistical indicator of the strength of a linear link between two variables is the correlation coefficient.
The formula of percentage of variation is:
(correlation coefficient × correlation coefficient × 100)%.
Given that the correlation coefficient is 0.90.
Thus the percentage of variation is (0.90 × 0.90 × 100)% = 81%
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6) Complete the equation so that it has infinitely many solutions.
12x-x+8+ 3x =__x+__
The simplified equation is 14x+8 which has infinitely many solutions as given in the question.
What does the equation mean?Two expressions joined by an equal sign form a mathematical statement known as an equation. An equation is, for instance, 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.How do you solve an equation?1.Remove parenthesis and combine like terms to simplify either side of the equation.
2.Isolate the variable term on one side of the equation using addition or subtraction.
3.To find the variable, use multiplication or division.
Given equation is:
12x-x+8+ 3x
= 11x+3x+8
=14x+8
Therefore, the simplified equation is 14x+8 which has infinitely many solutions.
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How does the graph of the function f(x) = x4 - 3 differ from the graph of its parent function?
Answer:
because there’s additional numbers to the equation
Step-by-step explanation:
it differs because of the -3 it’s -3 down
How can a negative number be written in scientific notation?
PLS AWNSER
For example, what is ‒0.0026 written in scientific notation?
Does any part of the process change because the number being converted is negative?
Answer:
-2.6 x 10-3
Step-by-step explanation:
if you enter the equation into a calculator it will do it for you. If you want to do it with a calculator heres how to. You would move the decimal to the first whole number for example in this case 2. How many places is that? 3. Whenever a decimal point moves to the right the spot is negative. You would then write it 2.6 with 10 (exponent -3)
Answer:
Step-by-step explanation:
To rewrite in scientific notation means to add an exponent such as e-3 in this case or [tex]10^{x}[/tex] where x is the exponent.
you would convert -0.0026 to -2.6e-3 or [tex]-2.6*10^{-3}[/tex]
The basic way of converting to scientific notation is to move your number a certain amount of decimal places until there is one number left before the decimal mark. Then the amount of values moved turns into you're exponent. A negative exponent means your are going towards a smaller number. Make sure to keep the current sign of the number
The cost of a jacket j after a 5% markup can be represented
by the expression j+0.05j. Simplify the expression. Then
determine the total cost of the jacket after the markup, if
the original price is $35.
what is the sum of twice a number and five is at least half the difference of six and the same number
x= 4 is a number and five is at least half the difference of six and the same number.
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
Recognizing the units and values is crucial when using the unitary technique to a problem.
Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.
According to our question-
We must first create an equation before solving it.Finding out what the question is asking us will help us get started on this.Let's say our number is x, the value of which we do not yet know. Therefore, two times that amount would be two times, or two.That would be divided by half, or 1/2x. We must now determine what the product of 2x and 1/2x signifies.Since addition is the definition of sum, 2 + 0.5 Equals 2.5. This amount is equivalent to 10, according to the remainder of the question. That implies:learn more about unitary method click here:
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Help find the Perimeter of 4,5,6 please
The perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm and 28 inches respectively.
We need to find the perimeter of given figures.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
4) Now, sum of all the sides
= 5+3.5+1.5+3.5+5+3.5+1.5+3.5 m
= 27 m
5) Here, radius = Diameter/2 = 17 cm
Perimeter = 2 semicircles+2(17) cm
= 2 × 1/2 πr + 2×17
= 2 × 3.14 × 17 + 34
= 140.76 cm
6) In the given figure here, there are 4 similar triangles
= 4(4+3) inches
= 4 × 7
= 28 inches
Therefore, the perimeters of the given figures 4, 5, 6 are 27 m, 140.76 cm and 28 inches respectively.
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