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
If A = {x x is an even integer), B = {xx is an odd integer), C = {2, 3, 4, 5), and D = {8, 9, 10, 11), list the element(s) of the following set.
AND
An D= { } (Use a comma to separate elements in the set.)
Answer:
AnD = {8,10}
Step-by-step explanation:
A = {2, 4, 6, 8 ,10 ...}
B = {1, 3, 5, 7 ,9 ...}
C = {,2 ,3 ,4 ,5 ...}
D = { 8, 9 ,10 ,11 ...}
AnD = {8, 10}
Hellpppp I’m stuck......
I’m just gonna guess but I think 6
What is the factored form of this expression?
4x to the third power– 8x to the second power– 9x+ 18
PLEASE HELP ASAPPP!!!!!
Three coins are flipped. What is the probability that there will be two tails and one head?
What is the distance of -55 from zero?
Answer:
55
Step-by-step explanation:
The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.
what is the vertex of y=x²+14x-9
Eric borrowed a total of $3000 from two student loans. One loan charged 4% simple interest and the other charged 3.5% simple
interest, both payable after graduation. If the interest he owed after 2 years was $215, determine the amount of principal for each
loan.
Answer:
$ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.
Step-by-step explanation:
Given that Eric borrowed a total of $ 3000 from two student loans, and one loan charged 4% simple interest and the other charged 3.5% simple interest, both payable after graduation, if the interest he owed after 2 years was $ 215, to determine the amount of principal for each loan, the following calculation must be performed:
4 x 2 = 8
3.5 x 2 = 7
1500 x 0.08 + 1500 x 0.07 = 225
1400 x 0.08 + 1600 x 0.07 = 224
100 x 0.08 + 2900 x 0.07 = 211
500 x 0.08 + 2500 x 0.07 = 215
Therefore, $ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.
Answer:
6yd=W The width of the rectangle is 6 yards. L=6W=6(6yd)=36 yards The length is 36 yards. A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards...The area of a given rectangle is 216 square inches.
Given that, the perimeter of the rectangle is 84 inches.
We need to find the area of a rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of a rectangle be x.
Given, that the length of a rectangle is six times its width. So, length=6x.
Now, 84=2(6x+x)
⇒14x=84
⇒x=6 inches
Then, length=6x=36 inches.
Area of a rectangle= Length×width=36×6=216 square inches
Therefore, the area of a given rectangle is 216 square inches.
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Pls Pls Pls help! Simplify the equation: [tex]\sqrt{\frac{1}{9} x^{2}y^{10}[/tex]
Find the value for the side marked below.
Round your answer to the nearest tenth.
61°
135
y
y = = [?]
Answer:
[tex]65.4[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
[tex]\cos 61^{\circ}=\frac{y}{135},\\t=135\cos 61^{\circ}=65.4492987333\approx \boxed{65.4}[/tex]
WILL MARK YOU IF YOU CAN HELP ME
Answer:
x= 62
first take linear pair angle with any line then once again with x then you're done
Answer:
x value is 62 degree
because they are vertically opposite angles
In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?
Answer:
18
Step-by-step explanation:
Find the diagram attached
From the diagram
PR + RQ = PQ
PR + RQ = 38
PR = 38 - RQ
using similar triangle;
KQ/RQ = KP/PR
45/RQ = 50/38-RQ
Cross multiply
50RQ = 45(38-RQ)
50RQ = 1710 - 45RQ
50RQ + 45RQ = 1710
95RQ = 1710
RQ = 1710/95
RQ = 18
Hence the length of RQ is 18
What is
(481x10")(1.1x 10-4) in scientific notation?
5.291x 10-64
5.291x10
5.291x1012
5.291x1020
Answer:
5.291 * 10^4
hhhhhhhhhhhhhhhhh
for what values of x are these functions defined x - 1
Answer:
The function is defined for all real numbers.
which can be denoted as >> R
Find the volume of the prism.
A number pattern was created by dividing the previous term by 4. If the starting value for the pattern was 576, which of the following shows the resulting pattern?
A.
576, 144, 72, 9...
B.
576, 144, 36, 9...
C.
576, 144, 72, 5...
D.
576, 144, 36, 5...
Answer:
The answer is B!!!!!!!!!!!!
The graph of g(x) resembles the graph of f(x) = x2, but it has been changed.
Which of these is the equation of g(x)?
Answer:
B. g(x)=x²-3 b is my answer
Instructions: Find the area of the sector. Round your answer to the nearest tenth.
I’ll mark brainliest please help me
Answer:
[tex]area \: = \frac{165}{360} \times \pi {8}^{2} \\ = 92.1533845053 \\ = 92 \: in^{2} [/tex]
2x + 5y = 17
what is x
what is y
Answer:
x = (17 - 5y)/2
y = (17 - 2x)/5
Step-by-step explanation:
nothing else can be done here.
if you are looking for actual numbers as solution, then you have forgotten to put something important here.
to solve a system with 2 variables we need 2 equations. it cannot be solved with only 1 equation.
Identify the location of the point (-3, -2).
5-2(3-x)=4x+10
can anyone help me, if i cant give you the brainliest answer i will.
Answer:
-11/2 = x
Step-by-step explanation:
5-2(3-x)=4x+10
Distribute
5 - 6 +2x = 4x+10
Combine like terms
-1 +2x = 4x+10
Subtract 2x from each side
-1 +2x-2x= 4x-2x+10
-1 = 2x+10
Subtract 10 from each side
-1-10 = 2x+10-10
-11 = 2x
Divide by 2
-11/2 = 2x/2
-11/2 = x
Answer:
See below
Step-by-step explanation:
5 - 2 * (3 - x) = 4x + 10
5 - 6 + 2x = 4x + 10
-2x = 11
x = -5.5
HELP HELP, HELP NEEDED!!!!!!!!!!!
Answer:
x=-3
Step-by-step explanation:
because f(x) is "y" now because y is 6 if you look properly where the coordinate of y is 6 x is -3
PT=3x+3 and TQ=6x-6
Use the figure to the right to find the value of PT. T is the midpoint of PQ
Answer:
PT = 12 units
Step-by-step explanation:
Given that,
PT=3x+3 and TQ=6x-6
T is the midpoint of PQ.
If T is mindpoint of PQ, it means,
PT = TQ
Substitute all the values,
3x+3 = 6x-6
Taking like terms together,
3x-6x = -6-3
-3x = -9
x = 3
So,
PT = 3x+3
= 3(3) + 3
= 9+3
= 12
So, the value of PT is equal to 12 units.
List two numbers that are divisible by 9?
Answer:
3, 6, 12, 15
Step-by-step explanation:
3/12= 4
3/9= 3
Marlene is trying to estimate v 42. She uses this table of values:
Square 6.02 6.12 6.22 6.32 6.42 6.52
Value
36.0 37.2 38.4 39.7 41.0 42.3
Square 6.62 6.72 6.82 6.92 7.02
Value
43.6 44.9 46.2 47.6 49.0
What should she do next to find 42 to the nearest hundredth?
A. She should find the squares of numbers between 6.4 and 6.5.
ООО
B. She should find the average of 6.4 and 6.5.
C. She should find the squares of numbers between 6.5 and 6.6.
O D. She should estimate that 42 is 6.50,
Answer:
A
Step-by-step explanation:
Did the quiz
Find the value of x to the nearest tenth
Answer:
a^2+b^2=c^2
6^2+6^2=72
square root of 72
=8.49(3sf)
c^2-b^2=a^2
=3
x=3
answer : 3
step by step:
this may seem hard but it is easy.
the first thing to do is to look at the bottom of the shape it shows a right triangle that is missing the hypotenuse lets see how to solve for that:
name the hypotenuse x
then write the equation
x^2= 6^2 + 6^2
x^2= 72
take both the square root of them
x = 8.5
next part is the rectangle and we see that it has been split into 2 right triangles which are the same but the cool part is that if we solve for one of the triangles we solve for the other we are going to do the same steps again notice now we are solving for the right angle that's not labeled if we solve that then that means we solve for the other triangle that is labelled x
first off we know that the hypotenuse is 9 and one angle is 8.5 so here is the equation:
x^2 = 9^2 - 8.5^2
x^2 = 8.75
take square root of both
x = 3
help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards
Answer:
A. 15.5 yards
Step-by-step explanation:
3.1 ×5=15.5
What is the complementary number of 16
I
Answer:
2
Step-by-step explanation:
The sum of two numbers is 69. One number is 15 less than the other. Find the numbers.
Answer:
58+-43=15
Step-by-step explanation:
Given: In this figure, `/_AED` and `/_BEC` form a pair of vertical angles. Prove: `/_AED ~= /_ BEC `. Match each statement to its corresponding reason. Drag the items on the left to the correct location on the right.
Answer:
Step-by-step explanation:
The matched statement to its corresponding reason for the given alternate interior angles as:
Given: Let points A, B, and C form a triangle.
definition: Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Congruent angles: m∠1=m∠4, m∠3 = m∠5
Linear pair theorem: m∠4+m∠2+m∠5 = 180°
As per the shown figure,
Given:
Let points A, B, and C form a triangle.
Defining a parallel line and labeling angles:
Let stackrel(harr)(DE) be a line passing through B, parallel to "bar(AC)", with angles labeled as shown.
Alternate Interior Angles Theorem:
∠1=∠4
∠3 = ∠5
Congruent angles have equal measures:
m∠1=m∠4
m∠3 = m∠5
Definition of a straight angle and angle addition:
m∠4+m∠2+m∠5 = 180°
Substitution:
m∠1 + m∠2 +m ∠3 = 180°
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