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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Help math math math ASAP
Answer:
B
Step-by-step explanation:
parallel lines have the same gradient,
and for y = 3x-2; m= 3
The answer is B. Hope this helps :)
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
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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
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]
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]
What is the sum of k° + i°?
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.
:)
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
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
Jennifer mixes 600ml of orange juice with 900ml of apple juice to m
ake a fruit drink. Write the ratio of apple juice to orange juice in its simplest form.
Answer:
2:3
Step-by-step explanation:
So OJ is 600ml and AJ is 900ml
we can divide both by 100 so
600÷100= 6
900÷100= 9
Ratio is now 6:9 but we can simplify it more by 3
so 6÷3=2 and 9÷3=3
So therefor ratio is 2:3
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
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%
The thiciness of a fingernail is about 1
The thickness of a fingernail is about 10^-5 inch
From the complete question, we have the following parameter
Thickness = 1/100000 inch
To represent the thickness in standard form, we do the following:
Express the thickness as a decimal
Thickness = 0.00001 inch
So, the standard form would be:
Thickness = 1 * 10^-5 inch
This gives
Thickness = 10^-5 inch
Hence, the complete statement is:
The thickness of a fingernail is about 10^-5 inch
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PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
c and d
Step-by-step explanation:
they both have a percent increase >50
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 :)
Find the quotient 820,00^3
Answer:
Correct me if I'm wrong......
What is 392,682 to the nearest ten thousand
Answer:
pretty sure its 390,000
Step-by-step explanation:
HELPPP
Use the information shown on the auger shell. What is the value of x?
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
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
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:
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
if y=2x^2-5x-3 find the value of y if x= -1
Answer:
y = 4
Step-by-step explanation:
First we want to raise -1 to the power of 2
y = 2 * 1 - 5 * -1 - 3
Multiply
2 - 5 * -1 - 3
Multiply
y = 2 + 5 - 3
y = 7 - 3
y = 4
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
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 :)
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
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:
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°
Question 3 of 44 What is the circumference of a circular swimming pool with a radius of 8 feet? (Round your answer to the nearest tenth.) O A. 25.1 ft O B. 100.5 ft C. 201.1 ft OD D. 50.3 ft SUBMIT
Answer:
D. 50.3 ft
Step-by-step explanation:
C = 2 x pi x r
C = 2 x 3.14 x 8
C = 50.3 ft