Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found guilty. In the United States, about 60% of the defendants are found guilty in criminal trials. Suppose you are a news reporter following four criminal trials.
a) If the trials were in Japan, what is the probability that all the defendants would be found guilty? What is the probability if the trials were in the United States?
b) Of the four trials, what is the expected number of guilty verdicts in Japan? What is the expected number in the United States? What is the standard deviation in Japan? What is the standard deviation in the United States?
c) As a U.S. news reporter, what is the smallest number of trials n you would need to cover to be at least 99% sure of two or more convictions? What is the smallest number of trials n you would need if you covered trials in Japan?
Step-by-step explanation:
Let X be the number of guilty defendants in Japan
Let y be the number in the US
we have n = 4
p = 0.95
a.) prob of trials in Japan
p(x=4)
= 0.95⁴
= 0.8145
prob of trials in US
p(X=4)
= 0.60⁴
= 0.1296
B. expected number in Japan
E(X) = n*p
= 4*0.95
= 3.8
we find the variance
= n*p(1-p)
= 4*0.95(1-0.95)
= 0.19
standard deviation for japan
= √0.19
= 0.4359
expected number for US
E(X) = n*p
= 4*0.60
= 2.4
we find the variance
= n*p(1-p)
= 4*0.60(1-0.6)
= 0.96
standard deviation for US
= √0.96
= 0.979
c. 2*4 = 8
The average horse requires 0.0333 Megacalories (Mcal) each day
for every kilogram (kg) it weighs. If your horse weights 665 kg,
and the food you are buying provides 950 kcal per pound of
food, how many pounds of food do you need each day for your
horse?
Answer:
23.31 pounds of food per day
Step-by-step explanation:
1 mcal = 1000 kcal
0.0333 mcal = x
0.0333 * 1000 = 33.3 kcal of food per kg
A horse which weighs 665 kg ; will this need :
(33.3 *665) = 22144.5 kcal of food per day
Kcal per pound of food purchased = 950 kcal
1 pound = 950 kcal
x pound = 22144.5 kcal
950x = 22144.5
x = 22144.5 / 950
x = 23.31 pounds of food
In triangle CAT, points DOG......
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Answer:
46 units
Step-by-step explanation:
Each midline is half the length of the parallel side of ΔCAT. This tells us ...
TO = AO = DG = 10
AD = GO = 7
GT = DO = 9
The perimeter of the trapezoid is ...
TA +AD +DG +GT = (TO+OA) +AD +DG +GT
= (10 +10) +7 +10 +9 = 46
The perimeter of the trapezoid is 46 units.
pls i need this one n i pass the class pls pls help me
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The two triangles are similar by the ASA theorem. The ratio of long side to short side in each right triangle is the same:
x/3 = 7.5/4.5
x = 3(7.5/4.5) . . . . multiply by 3
x = 5
Find the size of the of angle x.
Answer:
80 degrees
Step-by-step explanation:
Since a triangle is 180 degrees
you then add to 2 degrees given and subtract it from 180
65+35=100
180-100=80 degrees
Complete the remainder of the
table for the given function rule
Answer:
y = 3
y = 2
y = 1
y = 0
Step-by-step explanation:
Given expression;
y = (-x/3) + 2
Find:
Value of y, if x = -3Value of y, if x = 0Value of y, if x = 3Value of y, if x = 6Computation:
Value of y, if x = -3
y = (-x/3) + 2
y = (3/3) + 2
y = 3
Value of y, if x = 0
y = (-x/3) + 2
y = (-0/3) + 2
y = 2
Value of y, if x = 3
y = (-x/3) + 2
y = (-3/3) + 2
y = 1
Value of y, if x = 6
y = (-x/3) + 2
y = (-6/3) + 2
y = 0
which statement is true?
Answer:
Function A is less than the y value of Function B
Step-by-step explanation:
The y intercept of Function A is c = 3 [y = -3m + 3]
It's gradient will be m = 3 [ y = -9 + 3] to [y = -6]
Function B
Will mark Brainlest please answer. find the value of a,b.
,p,q from the equal order pairs
Step-by-step explanation:
Question-1:by order pair we obtain:
[tex] \displaystyle \begin{cases} \displaystyle 3p = 2p - 1 \dots \dots i\\2q - p = 1 \dots \dots ii\end{cases}[/tex]
cancel 2p from the i equation to get a certain value of p:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - p = 1 \end{cases}[/tex]
now substitute the value of p to the second equation:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q - ( - 1) = 1 \end{cases}[/tex]
simplify parentheses:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q + 1= 1 \end{cases}[/tex]
cancel 1 from both sides:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\2q = 0\end{cases}[/tex]
divide both sides by 2:
[tex] \displaystyle \begin{cases} \displaystyle p = - 1 \\q = 0\end{cases}[/tex]
question-2:by order pair we obtain:
[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\3y= x + y \dots \dots ii\end{cases}[/tex]
cancel out y from the second equation:
[tex] \displaystyle \begin{cases} \displaystyle 2x - y= 3 \dots \dots i\\ x = 2y \dots \dots ii\end{cases}[/tex]
substitute the value of x to the first equation:
[tex] \displaystyle \begin{cases} \displaystyle 2.2y-y= 3 \\ x = 2y \end{cases}[/tex]
simplify:
[tex] \displaystyle \begin{cases} \displaystyle 3y= 3 \\ x = 2y \end{cases}[/tex]
divide both sides by 3:
[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2y \end{cases}[/tex]
substitute the value of y to the second equation which yields:
[tex] \displaystyle \begin{cases} \displaystyle y= 1 \\ x = 2 \end{cases}[/tex]
Question-3:by order pair we obtain;
[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \dots \dots i\\3q + 2p = 3 \dots \dots ii\end{cases}[/tex]
rearrange:
[tex] \displaystyle \begin{cases} \displaystyle 2p + q = 2 \\2p + 3q= 3 \end{cases}[/tex]
subtract and simplify
[tex] \displaystyle \begin{array}{ccc} \displaystyle 2p + q = 2 \\2p + 3q= 3 \\ \hline - 2q = - 1 \\ q = \dfrac{1}{2} \end{array}[/tex]
substitute the value of q to the first equation:
[tex] \displaystyle 2.p+ \frac{1}{2} = 2[/tex]
make q the subject of the equation:
[tex] \displaystyle p = \frac{3}{4} [/tex]
hence,
[tex] \displaystyle q = \frac{1}{2} \\ p = \frac{3}{4} [/tex]
Answer:
see above
............
Round the decimal to the nearest hundreth. If decimal cannot be rounded, state this.
194.59
The decimal cannot be rounded. It is already rounded to the nearest hundredth.
What is the simplified form of √10,000x64 ?
Answers to choose from:
5000x^64
5000x^8
100x^8
100x^32
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Answer:
(d) 100x^32
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
√a = a^(1/2)
__
Then ...
[tex]\displaystyle\sqrt{10000x^{64}}=(10^4\cdot x^{64})^{\frac{1}{2}}=10^{\frac{4}{2}}\cdot x^{\frac{64}{2}}=10^2\cdot x^{32}\\\\=\boxed{100x^{32}}[/tex]
Answer:
Step-by-step explanation:
5000x^8
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
17
Answer: The missing angle is 32 degrees.
Step-by-step explanation: All the degrees in a triangle sum up to 180 degrees. Add the two known angles and subtract the sum from 180
Hope this helps! :)
2
D
3
In the diagram above, Z1 = 2x+20 and
Z2 = 3x+10. Find the measure of 21.
Z1 = [ ? 10
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Answer:
∠1 = 40°
Step-by-step explanation:
Angles 1 and 2 are "alternate interior" angles, so are congruent.
∠1 = ∠2
2x +20 = 3x +10
10 = x . . . . . . . . . . . subtract 2x+10 from both sides
The measure of ∠1 is ...
∠1 = 2x +10 = 2(10) +20 . . . . . degrees
∠1 = 40°
If the area of a rectangle is 36 ina and the length is 9 in, what is the width?
Answer:
4in
Step-by-step explanation:
The width of the rectangle is
36:9=4
If a(x) = 3x + 1 and (x)= x-4, what is the domain of (boa)(x)?
Answer:
[tex](b\circ a)(x)=3x-3[/tex] ; the domain is all real numbers
Step-by-step explanation:
[tex]a(x) = 3x+1[/tex]
[tex]b(x)=x-4[/tex]
[tex](b\circ a)(x)=b(a(x))=b(3x+1)=(3x+1)-4=3x+1-4=3x-3[/tex]
Therefore, the domain of the composite function is all real numbers.
Autumn drew a quadrilateral in which the opposite sides are parallel and also have the same length. What type of quadrilateral could Autumn have drawn?
Answer:
parallelogram. rectangle,
Step-by-step explanation:
Answer:
A parallelogram.
Step-by-step explanation:
answer for brainlest pls
[tex]{ \bf{ \underbrace{Given :}}}[/tex]
Radius of the circle = 7 in.
[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]
The area of the circle.
[tex]{ \bf{ \underbrace{Solution :}}}[/tex]
[tex]\sf\orange{The\:area \:of\:the\:circle\:is\:154\:in².}[/tex]
A. 154 inches squared. ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
We know that,
[tex]\sf\purple{Area\:of\:a\:circle \:=\:πr²}[/tex]
[tex] = \frac{22}{7} \times 7 \times 7 \: {in}^{2} \\ \\ = 22 \times 7 \: {in}^{2} \\ \\ = 154 \: {in}^{2} [/tex]
[tex]\boxed{Therefore,\:the\:area\:of\:the\:circle\:is\:154\:in².}[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Pythagorean theorem..
[tex]{\huge{\underbrace{\bf{\pink{Answer}}}}}[/tex]
Length of missing leg = 12 km
Using Pythagoras theorem
a² = 15² - 9²
a = √ 225 - 49
a = √144
a = 12 km
HOPE IT HELPS..
(Hypotenuse)² = (Base)²+ (Perpendicular)²
Taking, Hypotenuse As H
Base As B
Perpendicular As P
_________________________
Solving The QuestionH²= B²+ P²
[tex]15 {}^{2} = 9 {}^{2} + p {}^{2} \\ \\ p {}^{2} = 15 {}^{2} + 9 {}^{2} \\ \\ p {}^{2} = 225 - 81 \\ \\p {}^{2} = 144 \\ \\ p = \sqrt{144} \\ \\ p = 12[/tex]
Hope This Helps You ❤️Please answer these questions:
solve and simplify:
2/5 divided by 7/8
solve and simplify:
3/4 divided by 6/5
solve and simplify:
3/5 divided by 7/8
solve and simplify:
3/4 divided by 5/6
Answer
1• 2/5÷7/8
if there is a division sign in between two fractions what u have to do is multiply and, the fraction at the right need to change
=2/5×8/7
=16/35
=0•457
2• 3/4÷6/5
=3/4×5/618/24=0.753• 3/5÷7/8
=3/5×8/7
=24/35
=0•6857
4• 3/4÷5/6
=3/4×6/5
=18/20
=0•9
convert 0.13 into a fraction
Find the surface area of the regular pyramid.
Answer:
D
Step-by-step explanation:
Base perimeter = side x 5 = 4 x 5 = 20 in
LA = (base perimeter x slant height)/2 = (20 x 8)/2 = 80 in^2
SA = base area + LA = 27.5 + 80 = 107.5 in^2
Will choose brainliest! Please help! (This is Khan Academy)
Answer:
Option B. A = (5/6)^-⅛
Step-by-step explanation:
From the question given above, we obtained:
(5/6)ˣ = A¯⁸ˣ
We can obtain the value of A as follow:
(5/6)ˣ = A¯⁸ˣ
Cancel x from both side
5/6 = A¯⁸
Recall:
M¯ⁿ = 1/Mⁿ
A¯⁸ = 1/A⁸
Thus,
5/6 = 1/A⁸
Cross multiply
5 × A⁸ = 6
Divide both side by 5
A⁸ = 6/5
Take the 8th root of both sides
A = ⁸√(6/5)
Recall
ⁿ√M = M^1/n
Thus,
⁸√(6/5) = (6/5)^⅛
Therefore,
A = (6/5)^⅛
Recall:
(A/B)ⁿ = (B/A)¯ⁿ
(6/5)^⅛ = (5/6)^-⅛
Therefore,
A = (5/6)^-⅛
5. The Jones family orders four pizzas to eat. Each pizza is sliced into four parts. How many pizza slices do they get in total?
Answer:
16 slices
Step-by-step explanation:
Given :
Number of pizzas ordered = 4
Number of slices per pizza = 4
If 4 pizzas are each sliced into 4 parts ; the we have :
Pizza 1 = 4 slices
Pizza 2 = 4 slices
Pizza 3 = 4 slices
Pizza 4 = 4 slices
Total slices = (4 +4 +4 +4) = 16 slices
Each graph shown represents a transformation of a parent radical function. Which graphs represent functions with an odd index?
Answer:
Graphs W and Z
Step-by-step explanation:
Graph of a radical function with even index appears only on one side of the x-axis, while graph of the radical function with odd index appears on both the sides of the x-axis.
Index of the given graphs,
Graph W → Odd index
Graph X → Even index
Graph Y → Even index
Graph W → Odd index
Therefore, graphs W and Z show the radical functions with odd index.
Answer:
The answer is W and Z, I don't know why people rated it badly. I just took the practice and got it correct.
Step-by-step explanation:
the result of subtraction of 3x from -4x is
Answer:
-x
Step-by-step explanation:
3x-4x= -x
The answer is minus x
hopes it helps
Answer:
-1x
Step-by-step explanation:
3x from &4x
= -4x-3x (minus minus =plus)
= 1x
Find missing number from letter n ! Please
Answer:
1. n= 20 /13
2. n=10
3. n=35
4. n=9
That's all I could do, I got tired of typing lol
Step-by-step explanation:
1. 4/n=13/5 we cross multiply, (4)*(5)=13*n, 20=13n Flip the equation. 13n=20, divide 13 on both sides, 13n/13=20/13, n= 20 /13
2. 9/6= 15/n, we cross multiply 9*n=(15)*(6), 9n=90, Divide both sides by 9. 9n/9=90/9 n=10
3. 28/4=n/5 Cross-multiply, (28)*(5)=n*(4), 140=4n Flip the equation.4n=140 Divide both sides by 4. 4n/4=140/4 n=35
4. n/6=6/4 we cross multiply,n*(4)=(6)*(6), 4n=36, Divide both sides by 4 4n/4=36/4. n=9
Find the ratio of A to B if A= 51,786 and B= 17,475
Answer:
[tex]\frac{17262}{5825}[/tex]
Step-by-step explanation:
A ratio is another way of expressing a fractional value. One can express a ratio as a fraction. This problem asks one to find the ratio of (A) to (B). Set this up as a fraction, then substitute the given values in and simplify,
[tex]\frac{A}{B}[/tex]
The following information is given.
[tex]A=51786\\B=17475[/tex]
Substitute these values into the problem,
[tex]=\frac{51786}{17475}[/tex]
Both numbers are divisible by (3), thus reduce the ratio,
[tex]=\frac{17262}{5825}[/tex]
Since they have no other factors in common, the final answer is the following,
[tex]=\frac{17262}{5825}[/tex]
please help i’ll give brainliest
7.)What is the maximum number of texts received?
8.)All of the following are true except -
A.The range of the data is 190.
B.At least one student received no texts at all.
C.Most of the students received 65 or fewer texts.
D.50% of students received between 65 and 160 text messages.
9.)Which of the following cannot be determined from analyzing the boxplot?
A.
Mean
B.
Median
O.
Minimum D.
Range
10.) What percent of students receive more than 65 texts in a single day?
Answer:
7. 190
8. C
9. A
10. ~66% (not sure about this one though)
Step-by-step explanation:
can someone answer this please? I'll give brainlest for correct answer
Answer:
xoy = 40º
toy = 140º
zox = 110º
toz = 70º
zoy = 70º
Step-by-step explanation:
There are 18 spaces so each is 180 / 18 = 10º
xoy = 40º
toy = 140º
zox = 110º
toz = 70º
zoy = 70º
Answer:
xoy = 40 degree angle
toy = 140 degree angle
zox = 110 degree angle
toz = 70 degree angle
zoy = 70 degree angle
Step-by-step explanation:
Use protractor to measure. Each mark is equal to 10 degrees.
The domain of a function is what?
The domain is all possible x values, specified for that function.
Solve the solution as an ordered pair
X + 9 = y
X = 4y - 6
Answer:
-10, -1
Step-by-step explanation:
See Image below:)