The general rule of P(A or B) is given by the formula
[tex]undefined[/tex]Decompose the fraction 11 /12 towingtwo ways
Given:-
[tex]\frac{11}{12}[/tex]To find:-
Decompose the fraction in two ways.
Way one,
[tex]\frac{11}{12}=\frac{5}{12}+\frac{6}{12}[/tex]Way two,
[tex]\frac{11}{12}=\frac{10}{24}+\frac{12}{24}[/tex]Generate equivalent expressions using properties of operations. 15-(x•9) what do I need to do
Given the expression:
15 - (x • 9)
Let's simplify the expression.
To generate an expression equivalent to the given expression, simplify the expression inside the parentheses.
Thus, we have:
[tex]15-9x[/tex]ANSWER:
[tex]15-9x[/tex]
Hello, can you help me with a Standard deviation question, please?
To now how many had a score under 66, we have to calculate the following probability
[tex]P(X<66)=P(Z<\frac{66-81}{5})=P(Z<-3)=0.0013[/tex]So the amount of people that had a score under 66 is
[tex]4502\cdot0.0013=5.86\approx6[/tex]So 6 people get a score under 66
The total payroll for a baseball team is 2.44 × 109 dollars, and the total payroll for a football team is 2.9 × 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
0.46 × 109 dollars
2.8756 × 109 dollars
4.6 × 1011 dollars
2.8756 × 1011 dollars
Answer: I belive it would be 4.6 x 10^11 dollars. I hope this helps you :)
Step-by-step explanation:
Answer:it would be 4.6x10^11
Step-by-step explanation:
As a test engineer, you are in charge of maintaining an experimental aircraft . According to the maintence manual, you need to inspect a wing every 10 flight hours. The aircraft flown 3 flights, each lasting 2.75 hours Since the last inspection. How many hours do you need before the wing should be inspected?
EXPLANATION
Let's see the facts:
Inspect period = 10 flight hours
Flown= 3 flights/2.75 hours
Total flights hours = 3x2.75 = 8.25 hours
The difference is 10-8.25 = 1.75 hours.
We need 1.75 hours more before the next wing inspection.
Find the average rate of change of f(x)=3x^2-8x from x=1 to x=6
Answer:
The answer is 13
i neeeeeeeeeeed the aseer :D
Answer:
Step-by-step explanation:
21
The probability on any given night that it's Abe’s responsibility to cook dinner is 24%. If it’s Abe’s responsibility to cook dinner, the probability that his family goes out to a restaurant to eat is 65%. If it is not Abe’s responsibility to cook dinner, the family goes to a restaurant only 15% of the time. Create a tree diagram for this situation: What is the probability that Abe’s family eats out on a night that Abe was not responsible to cook dinner?On any given night, what is the probability Abe’s family eats at a restaurant?Abe’s family did not eat at a restaurant. Determine the probability that Abe was not responsible for cooking?
Let A be the event that "it's Abe's responsibility to cook dinneron any given night" and B be the event that "family goes out to a restauarnt to eat".
iven that:
[tex]\begin{gathered} P(A)=0.24 \\ P(B|A)=0.65 \\ P(B|A^C)=0.15 \end{gathered}[/tex]Draw the tree diagram.
Use Baye's theorem
[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex][tex]\begin{gathered} \text{P(Abe's family eats out on a night and Abe was not responsible to cook) } \\ =P(B\cap A^C) \\ =P(B|A^C)\cdot P(A^C) \\ =0.15(0.76) \\ =0.114 \end{gathered}[/tex][tex]undefined[/tex]HELPPPP ME PLEASE I NEED TO KNOW THE ANDWER ASAP
Given the figure in the attached image.
The polygon has 4 sides, and all the four sides are equal.
but the four angles are not given to be equal.
Therefore, the polygon shown in the figure is a Rhombus
What is the slope is a line that is perpendicular to the graph of y=2x+5Mark only one oval -1/21/22-2
Step 1
Given;
[tex]y=2x+5[/tex]Required; To find the slope.
Step 2
[tex]\begin{gathered} y=mx+c \\ m_1=slope=2 \\ c=y-intercept \\ y=2x+5 \\ For\text{ perpendicular lines }m_1(m_2)=-1 \\ \end{gathered}[/tex][tex]\begin{gathered} 2(m_2)=-1 \\ m_2=-\frac{1}{2} \end{gathered}[/tex]Answer;
[tex]slope\text{ of the perpendicular line required=}-\frac{1}{2}[/tex]The ages of 12 selected participants in a Students’ Congress are:
16, 24, 23, 20, 12, 27, 19, 25, 21, 23, 14, 13
What is the mean age of the participants?
The mean age of the 12 participants in a student congress is 19.75.
given 16,24,23,20,12,27,19,25,21,23,14,13
Mean generally means average. The formula of Mean is as follows
Add the given numbers 16+24+23+20+21+27+19+25+21+23+14+13 = 237
Divide the total number by the number of participants that is
237/12 = 19.75
The mean age of the participants = 19.75
learn more about mean, median, and mode at
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3 1/2 berry and pinaple pies
times 2 rasberry pies
16 1 point
Triangle congruence SSS is being shown?
True
False
|||
+||
Answer:
True
Step-by-step explanation:
SSS is being shown because the two sides are known by congruence marks, and the third side is known because it is equal--the two triangles are sharing it.
Can you please help me
From the question,
[tex]\begin{gathered} m\angle AFE=m\angle BFC\text{ (Vertically opposite angles)} \\ \therefore \\ m\angle AFE=70^{\circ} \end{gathered}[/tex]We also have
[tex]m\angle AFB=m\angle EFC\text{ (Vertically opposite angl}es)[/tex]Remember that the sum of angles at a point equals 360°. Therefore
[tex]\begin{gathered} m\angle AFB+m\angle BFC+m\angle CFE+m\angle AFE=360 \\ \therefore we\text{ have} \\ 2(m\angle AFB)+2(70)=360 \\ 2(m\angle AFB)=360-140=220 \\ m\angle AFB=\frac{220}{2}=110 \end{gathered}[/tex]Therefore, m(AB) is 110°.
Hence, OPTION B is correct.
Alan bought a new car. The total amount he needs to borrow is $55,498. He plans on
taking out a 5-year loan at an APR of 4.21%. What is the monthly payment?
O $1,027.35
O $1,385.38
O $1,400.34
O $1,100.48
Answer:
1027.35
Step-by-step explanation:
60 month/55498
write the slope intercept form:through: (2, 5), perp. to y= -5
If the original line is y = -5, then the perpendicular line would be x = a, where a is the x value of the point where it passes through, then the line is x = 2
Answer:
x = 2
Evaluate: 2x – 16y for x = −2 and y = 3
To evaluate the expression with the given values, we need to substitute them and perform any required calculation.
To do so, we need to remember the following rule:
If we have a multiplication of two numbers with different signals, one of them positive and the other negative, the result will be negative. If the multiplication is made with two numbers with the same signal, both positive or both negative, the result will be positive.
From this, we perform the following calculation:
[tex]\begin{gathered} 2x-16y \\ 2\cdot(-2)-16\cdot(3) \\ -4-48 \\ -52 \end{gathered}[/tex]From the solution developed above, we are able to conclude that the solution is:
- 52The length of the diagonal of a Rectangle is 14cm,and it forms a 30 degree angle in one corner of the rectangle.What is the area of the rectangle.(A=LxW)Just number 20
Explanation
Step 1
draw the rectangle
here we have a rigth triangle,then
Let
[tex]\begin{gathered} hypotenuse=14 \\ agle=30\text{ \degree} \\ \text{adjacent side= length= l} \end{gathered}[/tex]so, we need a function that relates those values
[tex]\cos \Theta=\frac{adjacent\text{ side}}{\text{hypotenuse}}[/tex]replace and solve for length
[tex]\begin{gathered} \cos \Theta=\frac{adjacent\text{ side}}{\text{hypotenuse}} \\ \text{hypotenuse}\cdot\cos \Theta=adjacent\text{ side} \\ 14\text{ cm }\cdot\cos 30=l \\ 12.12435\text{ cm=l} \end{gathered}[/tex]Step 2
width
similarity, we need a function that relates
[tex]\sin \text{ }\Theta=\frac{opposite\text{ side}}{\text{hypotenuse}}[/tex]let
[tex]\text{opposite side= width=w}[/tex]replace and solve for w
[tex]\begin{gathered} \sin \text{ }\Theta=\frac{opposite\text{ side}}{\text{hypotenuse}} \\ \text{hypotenuse}\cdot\sin \Theta=opposite\text{ side} \\ 14\text{ cm }\cdot\sin \text{ 30=w} \\ 7cm=w \end{gathered}[/tex]Step 3
finally, the area of a rectangle is given by
[tex]\begin{gathered} \text{Area}=\text{ length }\cdot width \\ \text{replacing} \\ \text{Area}=(12.12\cdot7)(cm^2) \\ \text{Area}=84.87(cm^2) \end{gathered}[/tex]therefore, the answer is
[tex]\text{Area}=84.87(cm^2)[/tex]I hope this helps you
The scatter plot shows the number of CDs in millions that were sold from 1999 to 2005. Use the points (1999,940) and (2002,805) to find a line of fit for the data. Then use the line of fit to estimate the number of CDs that were sold in 2008
Based on the given points from the scatter plot on the number of CDs sold in millions, the line of best fit for the data is y = -45x + 90,895
The estimated number of CDs sold in 2008 was 535 CDs.
How to find the line of best fit?The line of best fit will take the form:
y = Slope(x) + y intercept
The value of x will be assumed to be the number of years since 1999.
The slope is:
= Change in y / Change in x
= (805 - 940) / (2002 - 1999)
= -45
The y intercept is:
940 = -45(3) + y
y = 90,895
The line of best fit is:
y = -45x + 90,895
This means that the number of CDs sold in 2008:
= -45(2008) + 90,895
= 535 CDs
Find out more on the line of best fit at https://brainly.com/question/17013321
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A number times the sum of 12 and 32 (write as an algebraic expression)
ANSWER
x(12 + 32)
EXPLANATION
Let x be 'the number'.
A number times... means 'a number multiplied by...'
The sum of 12 and 32 is (12 + 32)
The complete algebraic expression is x(12 + 32)
What is 3 divided by 512 ?
Here 3 is smaller than 512 so we write 0.00 as the quotient.
Now 3000 is divisible by 512.
Substract 2560 from 3000, we get 440
now again 440 is smaller than 512, so we write 0 near 440 we get 4400.
Now 4400 is the dividend.
If we proceed with this division we get
[tex]\frac{3}{512}=0.005859375[/tex]Hence the approximate answer is
[tex]\frac{3}{512}\approx0.01[/tex]If A and B are two random events with probabilities of P(A) = 4/9, P(B) = 2/9, P(A ∩ B) = 1/9, calculate P(B|A).a.1/4b.3/4c. 1/2d.1
Answer:
A. 1/4.
Explanation:
Given two random events A and B:
[tex]\begin{gathered} P(B|A)=\frac{P(B\cap A)}{P(A)} \\ P(B\cap A)=P(A\cap B) \end{gathered}[/tex]Substitute the given values:
[tex]P(B|A)=\frac{\frac{1}{9}}{\frac{4}{9}}=\frac{1}{9}\div\frac{4}{9}=\frac{1}{9}\times\frac{9}{4}=\frac{1}{4}[/tex]The value of P(B|A) is 1/4.
HELP PLEASE!!!!!!!!!!! ILL MARK BRAINLIEST
By the midpoint formula, the real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.
How to find a rational number between two rational numbers
Rational numbers are real numbers of the form m / n, where m and n are integers and n is non-zero. There are more than one choice between the rational numbers - 1 / 3 and - 1 / 2, one option can be found by obtaining the midpoint between the two numbers:
x = (1 / 2) · (- 1 / 3) + (1 / 2) · (- 1 / 2) Given
x = - 1 / 6 - 1 / 4 Multiplication of rational numbers
x = - 4 / 24 - 6 / 24 Modulative, commutative and associative properties / Existence of multiplicative inverse
x = - 10 / 24 Addition of fraction with same denominator
x = - 5 / 12 Simplification / Result
The real number - 5 / 12 is between the rational numbers - 1 / 3 and - 1 / 2.
To learn more on rational numbers: https://brainly.com/question/17450097
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1. As part of a summer internship, five people -- Cindy, Damaris, Eugenio, Fareed, and Guzal -- are to be assigned to floors 1-5 in a dormitory. Each person will occupy his or her own entire floor and no other people will be in the dormitory. The assignment of people to floors must follow the following rules:Eugenio lives immediately above Damaris.Cindy is not on the first floor.Fareed does not live immediately below Damaris.Guzal lives either on the first floor or the fifth floor.Which one of the five people could be assigned to live on any of the five floors in the dormitory? A. Cindy B. Damaris C. Eugenio D. Fareed E. Guzal2. If Fareed lives neither directly above nor directly below Cindy in the dormitory, which one of the following people must live on the fourth floor? A. Cindy B. Damaris C. Eugenio D. Fareed E. Guzal
SOLUTION
(1) From the question, if Eugene lives immediately above Damaris, then Eugene can only live between floors 1 to 4.
And Damaris can only live between floors 2 to 5.
Guzal can only live on floors 1 or 5
Siince Cindy cannot live on the first floor, she can only live between floors 2 to 5, Since Fareed does not live immediately below Damaris. Fareed can live between floors 1 to 5.
Hence the answer is Fareed, option D
What is the slope of the line that passes through the points (2,8) and (12, 20)? Write your answer in simplest form.
EXPLANATION
The slope of a line, is given by the next expression:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]Where (x_1,y_1) = (2,8) and (x_2,y_2)=(12,20)
Plugging in the values into the expression:
[tex]Slope=\frac{20-8}{12-2}[/tex]Subtracting numbers:
[tex]Slope=\frac{12}{10}[/tex]Simplifying:
[tex]Slope=\frac{6}{5}[/tex]In conclusion, the solution is 6/5
A basket can hold 40 apples. Justin has 22 apples. He plans to buy 7 more. Each apple costs $1.buys the new ones, how many more apples will the basket hold?The basket can hold 15 more apples after Justin buys more.
Answer
Explanation
The basket can hold a maximum of 40 apples.
Justin currently has 22 apples. He plans to buy
The price of a notebook has risen to $3.35 today. Yesterday's price was $3.10. Find the percentage increase. Round your answer to the nearest tenth of a percent.
The percent of increasing = amount of increasing/original amount x 100%
Since the price of the notebook on one day is $3.10
Since it is increased to $3.35
Then the amount of increasing = 3.35 - 3.10 = 0.25 dollars
Since the original price is 3.10
By using the rule above
[tex]\text{Percent}=\frac{0.25}{3.10}\times100[/tex]The percent of increasing = 8.064516%
Round it to the nearest tenth
The percent of the increase is 8.1%
Is the prime factor of 85 17x5
Given data:
The given number is 85.
The given number 85 can be expressed in terms of their prime factors as,
[tex]85=5\times17[/tex]Thus, yes 85 can be expressed in terms of their prime factors as 17x5.
which of the following statements is correct?A XYZ ~ wvz by AA similarityB XYZ ~ WVZ by SAS similarityC XYZ ~ WVZ by SSS similarityD XYZ and WVZ are not similar
We have two triangles, XYZ and WVZ.
They shared the vertex Z, formed by the intersection of two lines, XW and VY.
Also, XY and VW are parallel.
Then, we have a pair of congruent angles at vertex Z, as they are vertical angles.
We also have another pair of congruent angles: V and Y, because they are alternate interior angles between parallel lines.
Then, as we have two pair of congruent angles, the third pair of angles have to be congruent too, as the measures of the interior angles of a triangle always add 180°.
Then, if we have 3 pair of congruent angles, we have similar triangles.
We can not say anything about congruent sides because we don't know any relation or proportion between them, so the other postulates, SAS or SSS, can not be used.
Answer: XYZ ~ WVZ by AA similarity (Option A)
how do I find the slope
you can find the slope taking two points of a graph or function,
identify the rightmost point and apply this equation
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]where (x2,y2) is the rightmost point and (x1,y1) is the other point
If i have two points (3,4) and (6,2)
the rigthmost point is (6,2) because 6 is greater than 3 and these two numbers are x, the place where I can locate myself horizontally or left or right
so, apply the equation
[tex]\begin{gathered} m=\frac{2-4}{6-3} \\ m=\frac{-2}{3} \\ \end{gathered}[/tex]So, the slope is
[tex]-\frac{2}{3}[/tex]