Answers
explanation: angle AFB and DFE are vertical angles meaning they share the same measurements
Related Questions
Your literature class will read 4 novels this year, chosen by class vote from a list of 7 possible books offered by the teacher.
a) How many different ways could the course unfold, given that it probably matters what order you read the books in?
b) How many different choices of books could the class make?
a) The number of different ways the course could unfold is
Answers
Answer:
a) 840 different ways
b) 35 different choices of books
Step-by-step explanation:
We know that our literature class will read a total of 4 novels this year.
All novels chosen by class vote from a list of 7 possible books offered by the teacher.
Wherever we have an experiment [tex]''N''[/tex] which is formed by sub - experiments that can occurred in [tex]m_{1},m_{2},...,m_{n}[/tex] ways, the total number of ways in which the whole experiment [tex]''N''[/tex] can be developed is :
[tex]m_{1}[/tex] x [tex]m_{2}[/tex] x ... x [tex]m_{n}[/tex]
Then, for a) if it matters what order we read the books in, the total number of different ways could the course unfold is :
[tex](7).(6).(5).(4)=840[/tex] (I)
Because for the first book there are 7 different choices. Now, given that we choose the first book, we only have 6 different choices for the second one.
Continuing with the idea, we deduce the equation (I).
For item b) :
Wherever we have [tex]''n''[/tex] different objects and we want to find the ways that we can choose [tex]''r''[/tex] objects from that group, we need to use the combinatorial number.
We define the combinatorial number as :
[tex]nCr=\left(\begin{array}{c}n&r\end{array}\right)=\frac{n!}{r!(n-r)!}[/tex]
Then, if we apply this to the problem, the total different choices of books if we want 4 novels voting from a total of 7 possible books is :
[tex]7C4=\frac{7!}{4!(7-4)!}=35[/tex]
a) 840 different ways
b) 35 different choices of books
The number of violent crimes committed in a day possesses a distribution with a mean of 2.8 crimes per day and a standard deviation of 4 crimes per day. A random sample of 100 days was observed, and the sample mean number of crimes for the sample was calculated. Describe the sampling distribution of the sample means.
Answers
Answer:
The distribution is approximately normal with mean = 2.8 and standard error = 0.4
Step-by-step explanation:
We are given;
Mean; μ = 2.8
Standard deviation; σ = 4
Sample size; n = 100
Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)
The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.
Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4
Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4
Whats 9 less than the product of 9 and a number
Answers
Answer:
9x-9
Step-by-step explanation:
9 and a product of a number is 9x, and less 9 is 9x-9.
Hope this helps :D
HELP WILL GIVE BRAINLIEST AND 30 POINTS!!
Students went on a field trip. The destination was 7 miles away. In the first hour, the students walked three tenths of the distance. How far did they walk in the first hour?
ANSWER IS 2.1 miles PLEASE SHOW ALL WORK
Answers
7/10= .7*3= 2.1
8 1/3 % of 64
mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
Answers
Answer:
I think it is 7.86.
Step-by-step explanation:
You should change 8 1/3% to a decimal that equals 8.33333333333. I then had took 64/8.33333333333 which equaled 7.86.
If this helped please feel free to click the thanks button below. Thank you! :-D
Which set of line segments could create a right triangle?
24, 30, 35
12, 18, 30
18, 24, 30
18, 24, 35
Answers
thirdStep-by-step explanation:
Camila measured a line to be 17.5 inches long. If the actual length of the line is 18.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Please help, thanks :)
Answers
This is because Percent Error= (Vobserved-Vtrue)/Vtrue
Also my name is Camila :) please mark me Brainliest
Which of the following best describes the function graphed below? (1 point) A graph shows a straight slanting line that starts at a point on the y-axis and goes down to touch the x-axis. Question 14 options: 1) Nonlinear increasing 2) Nonlinear decreasing 3) Linear increasing 4) Linear decreasing
Answers
Answer:
linear decreasing
Step-by-step explanation:
cause it is a straight line and it's going down so it's decreasing.
Answer:
linear decreasing
Step-by-step explanation:
the answer that will appear before mine is right
La circunferencia es tangente a la recta 3x - 4y = 34 en el punto (10, -1) Y también es tangente a la recta 4x + 3y = 12 en el punto (3, O). Hallar la ecuación de la circnferencia.
Answers
Answer:
La ecuación del círculo en la forma es (x - 145/12)² + (y - 109/16)² = (545/48)²
Step-by-step explanation:
La información dada son;
La primera línea tangente al círculo en el punto (10, -1) = 3·x - 4·y = 34
La segunda línea tangente al círculo en el punto (3, 0) = 4·x + 3·y = 12
Las rectas tangentes dadas en forma de pendiente e intersección, y = m·x + c son;
3·x - 4·y = 34
4·y = 34 - 3·x
y = 34/4 - 3/4·x = 8.5 - 3/4·x
Primera tangente
y = 8.5 - 3/4·x
3·y = 12 - 4·x
y = 12/3 - 4/3·x = 4 - 4/3·x
Segunda tangente
y = 4 - 4/3·x
La recta de la ecuación de los radios es perpendicular a la tangente y se encuentra con la tangente en el punto de intersección con el círculo como sigue;
La primera ecuación radial tiene pendiente, m = 1/(-3/4) = 4/3
La ecuación en forma de punto y pendiente es y - (-1) = 4/3×(x - 10)
y = 4/3×(x - 10) - 1 = 4/3·x - 40/3 - 1 = 4/3·x - 43/3
Por tanto, la ecuación del primer radio es;
y = 4/3·x - 43/3
La segunda ecuación radial tiene pendiente, m = 1/(-4/3) = 3/4
La ecuación en forma de punto y pendiente es y - 0 = 3/4×(x - 3)
y = 3/4×(x - 3) = 3/4·x - 9/4
Por tanto, la ecuación del segundo radio es;
y = 3/4·x - 9/4
Los dos radios se encuentran en el centro dado como sigue;
4/3·x - 43/3 = 3/4·x - 9/4
4/3·x - 3/4·x = 43/3 - 9/4
7/12·x = 145/12
x = 145/12
y = 3/4·x - 9/4 = 3/4·145/12 - 9/4 = 109/16
Las coordenadas del centro = (h, k) = (145/12, 109/16)
La longitud del radio, r = √((109/16 - 0)² + (145/12 - 3)²) = 545/48
La ecuación del círculo en la forma (x - h)² + (y - k)² = r² es, por lo tanto;
(x - 145/12)² + (y - 109/16)² = (545/48)².
Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade.
1. Write an expression that shows how much Vincente slept in terms of Dorinda.
2. Write an expression that shows how much Dorinda slept in terms of Sade.
3. Write an expression that shows how much Sade slept in terms of Vincente.
Answers
Answer/Step-by-step explanation:
*An average person on Earth needs 8.5 hours of sleep each night*
1. V - 5 = D
2. D ÷ 2 = S
3. S + 5 = V
A ball is dropped from a height of 8 feet. If every time it bounces, it bounces 60% of its previous height, what is the total distance traveled by the ball?
Answers
Answer:
20feetStep-by-step explanation:
Initial height of the ball = 8feet
If it bounces 60% of its previous height, its new height will be;
60% of 8
= 60/100 * 8
= 480/100
= 4.8 ft
If it bounces 60% of its current distance, new height will be expressed as;
60% of 4.8
= 0.6 * 4.8
= 2.88
The height of the ball will keep reducing and form a geometric progression of the form 8, 4.8, 2.88...
In order to get the total distance traveled by the ball, we need to calculate the sum to infinity of the sequence;
S∞ = a/1-r where;
a is the first term = 8
r is the common ratio
[tex]r = \frac{4.8}{8} = \frac{2.88}{4.8}\\r = 0.6[/tex]
Substitute into the formula;
S∞ = a/1-r
S∞ = 8/1-0.6
S∞ = 8/0.4
S∞ = 20feet
Hence the total distance traveled by the ball is 20feet
What would be the missing angels
Answers
Answer:
X=51
y=39
Step-by-step explanation:
x=90-39=51
y=90-51=39
What is the slope of y = 5x – 1?
Answers
Answer: The slope is 5
Step-by-step explanation:
The slope of an equation in slope intercept form is always the coefficient of the x variable, or the number that comes before x. And the coefficient of x is 5.
Can someone help please?!
Answers
Answer:
A.) Y.
Step-by-step explanation:
I'm not sure how to explain.
Look as where the line goes from x and y axes. Look at the numbers
A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length of the shadow. If necessary, round your answer to the nearest tenth.
Answers
Answer: 11.1 m
Step-by-step explanation:
This can be solved by the Pythagorean theorem where;
c² = a² + b²
c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.
a is the height
c is the length
32² = 30² + b²
b² = 32² - 30²
b² = 1,024 - 900
b² = 124
b = √124
b = 11.1 m
Baking flour which costs $4.05/kg is made by combining bleached flour which costs
$5.75/kg with unbleached flour which costs $1.45/kg. Find the number of kg of bleached flour and unbleached flour required to make 17.2 kg of baking flour.
A) 11 kg of bleached flour, 6.2 kg of unbleached flour
B) 13.7 kg of bleached flour, 3.5 kg of unbleached flour
C) 12.7 kg of bleached flour, 4.5 kg of unbleached flour
D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour
Answers
Answer: D) 10.4 kg of bleached flour, 6.8 kg of unbleached flour
Step-by-step explanation:
First find the cost of making a kg of Baking flour.
Assume that x kgs of bleached flour and y kgs of unbleached flour make a kg of Baking flour.
The formulas would be;
x + y = 1
5.75x + 1.45y = 4.05
x = 1 - y
5.75 ( 1 - y) + 1.45y = 4.05
5.75 - 5.75y + 1.45y = 4.05
5.75 - 4.3y = 4.05
4.3y = 5.75 - 4.05
4.3y = 1.7
y = 1.7/4.3
y = 0.395 kg
x = 1 - 0.395
= 0.605kg
To make 1kg of Baking flour, 0.605kg of bleached flour and 0.395kg of unbleached flour is required.
To make 17.2kg of Baking flour;
Bleached flour = 0.605 * 17.2 = 10.4kg
Unbleached flour = 0.395 * 17.2 = 6.8 kg
Which expression represents the word phrase the product of 3 and 6 more than a number? 3(x+6) 3(6−x) 3x + 6 I don't know.
Answers
The expression that represents the word phrase of the product of 3 and 6 more than a number is 3(6 + x).
Let the given number be x.
Therefore, the expression that represents the word phrase the product of 3 and 6 more than a number will be:
= 3(6 + x)
In conclusion, the correct option will be 3(6 + x).
Read related link on:
https://brainly.com/question/11924335
If A= (0,0) and B= (2,5), what is the approximate length of AB?
Answers
Answer:
have a good night!
Step-by-step explanation:
[tex]AB = \sqrt{ {x}^{2} + y {}^{2} } [/tex]
[tex]AB = \sqrt{ {2}^{2} + {5}^{2} } [/tex]
[tex]AB = \sqrt{4 + 25} [/tex]
[tex]AB = \sqrt{29} [/tex]
What are the coordinates of point S”?
Answers
Answer:A
Step-by-step explanation:
In *W * X * Y , y = 7.8 cm angle W=26^ and angle X=76^ Find the length of w, to the nearest of a centimeter
Answers
Answer: 3.5
Step-by-step explanation:
Kelley writes the expression n + 2 to model the phrase "Xander studied two more hours than Nandini." Which best explains the accuracy of Kelley's expression?
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
It was right because the "Two" is "2," "more is" and "+" are two the most hours than Nandini and "n," so 2+n or n+2 is a true, phrase of Nandini's transcription".
Now, this vector n is unknown, so the number of hours Nandini researched should reflect.
Two further hours which Nandini researched Xander. So, Xander studied the number of hours = n + 2 or 2+ n. Kalley has therefore written a correct word.
Answer:
It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n or n + 2 are correct translations.
Step-by-step explanation:
Say thanks for the anwer
Find the number of groups and the number left over. 24 - 5 = with left over 24-5= with left over (Type whole numbers.)
Answers
Answer: 19 is my answer 19 is left over
What is 23x10⁵ im struggling to do this who can help
Answers
Answer:
if your doing it in scientific notation it would be 2.3x10 with the lil 6 above the 10
Step-by-step explanation:
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Standard form :
[tex]2,300,000[/tex]
_________________________________
Science notation :
[tex]2.3 \times {10}^{6} [/tex]
_________________________________
Science E notation :
[tex]2.3 \: E6[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
what is d? -16(d + 1) = -20
Answers
Answer: d = 1/4
Step-by-step explanation:
−16(d+1)=−20
Step 1: Simplify both sides of the equation.
−16(d+1)=−20
(−16)(d)+(−16)(1)=−20(Distribute)
−16d+−16=−20
−16d−16=−20
Step 2: Add 16 to both sides.
−16d−16+16=−20+16
−16d=−4
Step 3: Divide both sides by -16.
-16d = -4
-16 -16
d = 1/4
Hope this helps :)
Answer:
d=1/4 or .25
Step-by-step explanation:
-16(d+1)=-20
-16d-16=-20
-16d=-20+16
-16d/-16=-4/-16
d= 1/4 or .25
. f(-5) = 5, f (0) = 10
Answers
Answer:
On the screenshot (y=x+10)
Step-by-step explanation:
Have a great day!
Joshep drove his grandmother’s house which is 252 miles away in 3.5 hours. If he continues at the same speed,approximately how long will It take him to drive 315 miles?
Answers
Answer:
72 hours
Step-by-step explanation:
how are multiplying and factoring similar
Answers
Answer:
Multiplying and factoring are similar as they both deal with what make up a number. Factors are multiplied to become numbers, and numbers are multiplied to become multiples.
which expression uses the associative property to make it easier to evaluate 14(3/2 . 1/4)?
Answers
Answer:
C
Step-by-step explanation:
The expression uses the associative property to make it easier to evaluate 14(3/2 . 1/4) would be equal to (3/2 . 1/4)14
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; can be used to indicate the logical syntax's order of operations and other features.
Now we have given an expression as;
14(3/2 . 1/4)
Using associative property to make it easier to evaluate;
14(3/2 . 1/4)
= (3/2 . 1/4)14
The correct answer is D.
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
im lost on this one
Answers
The Gorilla eats 39 pounds of food each day. Gracie eats 165 pounds of food each day. If you round the 39-40 and 165- 160. About how much more does Gracie eat than the gorilla each day
Answers
160 - 40 = 120
Answer:
Gracie eats 120 more.
Step-by-step explanation:
i know that 160 - 40 = 120