A library shelf contains seven books. Three books are math books and four books are science books. In how many ways may the books be arranged on the shelf so that all the math books will be together
There are 720 different ways to arrange the books.
In how many ways we can order the books?
Here we know that there are a total of 7 books, 3 of math and 4 of sciences.
We know that the 3 math books must be together, so first let's analyze this element.
The number of permutations of these 3 books is 3! = 3*2*1 = 6
Now we have 5 elements, 4 books of science and a "group of math books."
So there are 5 positions in which the group of math books can be, and for the four science books we have 4! = 4*3*2*1 = 24 permutations.
The total number of different combinations is given by the product of the numbers we found above:
combinations = (permutations of math)*(possible positions of math)*(permutations of science).
Combinations = 6*5*24 = 720
If you want to learn more about counting, you can read:
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Of the two lights on Dexter
Street, the probability of the
lights being red is 20% for the
First light and 30% for the
second light. If a car is driving
down Dexter Street, what is
the probability that it does not
get stopped at either light?
Answer:
I am pretty sure it is a 50% chance.
Step-by-step explanation:
20 + 30 = 50%
If (-1, y) lies on the graph of y = 2^2x, then y =
-4
1
1/4
Answer:
y = 1/4
Step-by-step explanation:
hope this helps :)
Apply Cavalieri's principle to determine which statements are correct.
A)
I.B Area = 11.B Area
B)
II.B Area > III.B Area
C)
1. Volume = II. Volume
D)
II. Volume > III. Volume
E)
I.B Volume = II.B Volume = III.B Volume
Answer:
Step-by-step explanation:
Answer:
A:) I.B area
C:) I. Volume=II.Volume
E:) I.B volume= II.B volume= III.B volume
Step-by-step explanation: i did the usa test prep
A math test has 40 questions. A student answers 85% of the questions correctly. How many questions did the student answer correctly? Enter your answer in the box
Answer:
34
Step-by-step explanation:
40 * 0.85 = 34
34 questions answered correctly
Hey there,
85% = [tex]\frac{85}{100}[/tex] = 0,85
0,85 x 40 = 34
The student answered 34 questions correctly.
:)
If x = 0, then
((x ^ 2) ^ 3)/(x ^ 5) * 1000 is equivalent to
1. 1000x
2. 1000+x
3. 1000
4. 0
Ans: 0. fraction is equal to 0 then 0×1000=0
Determine the approximate value of angle A
answer
40°
step by step explanation
according to the figure the two angles are given
the sum of all angles of triangle is 180°
Solve sin^2θ−4sinθ−5=0 for 0°≤θ≤360°
Answer:
[tex]\theta=270^\circ[/tex]
Step-by-step explanation:
Given Equation and Parameters
[tex]sin^2\theta-4sin\theta-5=0,\: 0^\circ\leq\theta\leq 360^\circ[/tex]
Calculation
Let [tex]u=sin\theta[/tex], thus:
[tex]u^2-4u-5=0\\\\(u+1)(u-5)=0\\\\u=-1,\: u=5[/tex]
[tex]sin\theta=-1\\\\\theta=270^\circ[/tex]
[tex]sin\theta=5\\\\\theta=unde fined[/tex]
Conclusion
[tex]\theta=270^\circ[/tex]
I need help finding the answers
Answer:
Step-by-step explanation:
x + y = 4 ............. (1)
x = y - 16 ............ (2)
(2) -------> (1)
( y - 16 ) + y = 4
2y = 20
y = 10
x = - 6 The smaller number
Please Answer question…
Answer:
I believe the answer is 490.63.
Step-by-step explanation: Let me know if I'm wrong.
circumfrence of a circle r=4 iready
a. 50.24
b. 12.56
c. 200.96
d. 6.28
e. 25.12
Answer:
E. 25.12
Step-by-step explanation:
C=2πr = 2π(4) = 25.1
please help with slope
Answer:
-2/3
Step-by-step explanation:
down 2, right 3
Slope:-
[tex]\\ \rm\hookrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{-4+1}{-5+9}[/tex]
[tex]\\ \rm\hookrightarrow m=\dfrac{-3}{4}[/tex]
48+36 written as a product of two factors
48 + 36 written as a product of two factors gives; 12 × 7
How to rewrite product of numbers?We are given the function;
48 + 36
Let us pick the largest common factor of both numbers which is 12 and so we will factorize to have;
12*4 + 12*3
⇒ 12(4 + 3)
⇒ 12 * 7
Thus, the correct answer is 12 * 7
Read more about Factorization at; https://brainly.com/question/1214333
Find all real zeros of the function Y = -5x-7. a. -5. C. 7 5 7 b. -5, -7 d. 5 Please select the best answer from the choices provided СА B o 0 D
The zeros of the function y = -5x - 7 is at x = -7/5
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given the equation:
y = -5x - 7
The zeros of the function is at y = 0, hence:
0 = -5x - 7
-5x = 7
Dividing through by -5 gives:
x = -7/5
The zeros of the function y = -5x - 7 is at x = -7/5
Find out more on Linear equation at: https://brainly.com/question/13763238
What value of x is in the solution set of 4x - 12 = 16 + 8x?
-10
-9
-8
ОО
-7
Step-by-step explanation:
Question: 4x - 12 = 16 +8x
Answer: 4x-8x =16+12
-4x=28
x=-28/4
x=-7
D) -7 is your answer
hope this helps you
have a great day :)
Annika needs to sell at least 25 boxes of Girl Scout cookies to get a new badge she has already sold 4 boxes how many more does she need to sell one
step inequality word problems
Answer:
21
Step-by-step explanation:
Answer A a hexagon
Answer B a octagon
Answer C a rectangle
Answer D a trapezoid
Answer:
Our answer is
= (A) a hexagon
Step-by-step explanation:
8 sides
Find the sum of 3a 2 + 4b 2 , 4a 2 – 3b 2 + 2ab and -4a2 + 2b 2 – 6ab
We have to find the sum of 3a² + 4b² , 4a² - 3b² + 2ab and - 4a² + 2b² - 6ab
Just add all these expressions and you will get your answer as ;
[tex]{:\implies \quad \sf (3a^{2}+4b^{2})+(4a^{2}-3b^{2}+2ab)+(-4a^{2}+2b^{2}-6ab)}[/tex]
[tex]{:\implies \quad \sf 3a^{2}+4b^{2}+4a^{2}-3b^{2}+2ab-4a^{2}+2b^{2}-6ab}[/tex]
Collect like terms ;
[tex]{:\implies \quad \sf (3a^{2}+4a^{2}-4a^{2})+(4b^{2}-3b^{2}+2b^{2})+(2ab-6ab)}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{Required\: \: Sum=3a^{2}+3b^{2}-4ab}}}[/tex]
HELLO CAN SOMEONE PLEASE ANSWER THIS QUESTION ?
Answer:
c
Step-by-step explanation:
4. (1pt each) Solve for the missing angle, x.
Answer:
a) 112º
b) 62.5º
Step-by-step explanation:
a) x=180–34*2=112º
b) x=(180–55)/2=62.5º
Anasia is a basketball player who regularly shoots sets of 222 free-throws. Suppose that each shot has probability 0.70.70, point, 7 of being made, and the results of the shots are independent.
The table below displays the probability distribution of XXX, the number of shots that Anasia makes in a set of 222 attempts.
X= \# \text{ of makes}X=# of makesX, equals, \#, start text, space, o, f, space, m, a, k, e, s, end text 000 111 222
P(X)P(X)P, left parenthesis, X, right parenthesis 0.090.090, point, 09 0.420.420, point, 42 0.490.490, point, 49
Given that \mu_X=1.4μ
X
=1.4mu, start subscript, X, end subscript, equals, 1, point, 4 makes, find the standard deviation of the number of shots that Anasia makes.
Round your answer to two decimal places.
Answer:
0.65
Step-by-step explanation:
on khan
Anasia is a basketball player who regularly shoots sets of 2 free throws. The required standard deviation is 0.65
How to find the sample standard deviation for the distribution of a sample proportion?In statistics, Standard deviation is a measure of the variation of a set of values.
σ = standard deviation of population
N = number of observation of population
X = mean
μ = population mean
Anasia is a basketball player who regularly shoots sets of 2 free throws. Suppose that each shot has a probability of 0.7, point, and 7 being made, and the results of the shots are independent.
[tex]e \times P(X=x) \\=0\times 0.09+1\times0.42+2\times0.49\\=0.49+0.98\\\\1.4[/tex]
Now,
[tex]E(X^2) = 0\times0.009 +1^2 \times0.42 +2\times0.42\\\\= 0.42+ 1.96\\\\=2.38[/tex]
we can calculate the standard deviation by variance
[tex]\sigma^2 = E(X^2) - (E(X))^2\\\\\sigma^2 =2.38 - 1.4^2\\\\\sigma^2 =0.42\\\\\sigma = 0.65[/tex]
The required standard deviation is 0.65
Learn more about standard deviation and variance:
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What is 392,682 to the nearest ten thousand
Answer:
pretty sure its 390,000
Step-by-step explanation:
Marcelo has 6 red marbles in his marble collection. The red marbles make up 12% of all the marbles. Please show your work and thank you. I think anytime brainly takes down your question you get extra points. weird
Answer:
the answer is 50
Step-by-step explanation:
12 6 600 600
--------- * --------- = ------ ------- = 600/12=50
600 x 600 12
Answer:
the answer is 9
Step-by-step explanation:
The Flash runs 100 km in 25 seconds. What is the Flash's velocity
Answer:
yo moma smell like stank
Step-by-step explanation:take showers
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer.
Answer:
147
Step-by-step explanation
Average rate of change of a function is determined using the formula, Given the function, f(x) = 3x³ + 2To find the average rate of change between x = 3 and x = 5, let:a = 3f(a) = f(3) = 3(3)³ + 2 = 83b = 5f(b) = f(5) = 3(5)³ + 2 = 377Plug in the values into the formulaAverage rate of change =
A store is selling 5 cans of tomato sauce for 4.50 what is the unit price
Answer:All you have is multiply
4.50/5 = 0.9
The unit price is 0.9
Step-by-step explanation: I did it and got it right
HELPPP
Use the information shown on the auger shell. What is the value of x?
Georgia bought 10 meters of ribbon to make bows. Each bow requires 50 centimeters of ribbon. How many bows can Georgia make?
Answer:
Step-by-step explanation:
What is the sum of k° + i°?
What is an equation of the line that passes through the points (-1, 3) and (-1, 6)?
just answer
Answer:
7x + 4y = 17
Step-by-step explanation:
Answer:
x = -1
Step-by-step explanation:
(6 - 3) / (-1 - -1) = 3/0 so there is no slope
so the equation is x = -1