Answer:
Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.
Step-by-step explanation:
The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].
For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].
Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)
Hence, the probability that all [tex]12[/tex] jurors are available would be:
[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].
which number is a composite number 9 5 2 11? (Need it ASAP)
Answer:
9
Step-by-step explanation:
A composite number is a number that has factors other than 1 and the number itself.
5 has no factors except 1 and 5. PRIME
2 has no factors except 1 and 2. PRIME
11 has no factors except 1 and 11. PRIME
9 can be multiplied by 3 and 3. COMPOSITE
---
hope it helps
3. Which of the following is not equal to sin(270°)?
(1) cos(180)
(3) -sin (90)
(2) - cos(0)
(4) sin(360)
WILL GIVE BRAINIEST
Keith writes the numbers 1 to 20 on pieces of paper and places them in a hat. The probability of randomly selecting a number less than 16 is . Choose the likelihood that best describes the probability of this event. A. Neither likely nor unlikely B. Impossible O C. Likely D. Unlikely
Answer: Likely
Step-by-step explanation: I got it right!
Answer:
C. Likely
Step-by-step explanation:
Hope it helps :)
Please help I will give brainliest
Answer:
52, 60, 68, 76..
Step-by-step explanation:
Question: Find the area of the orange shaded region in terms of pi.
Answer:
84π sq. units
Step-by-step explanation:
radius of little orange circles = 2
There is a total of 3 little orange circles (1 + 1 + 1/2 + 1/2).
Total area of 3 little orange circles = 3*π*2^2 = 12π
radius of 4 medium white circles = 3
Total of area of 4 medium white circles = 4*π*3^2 = 36π
radius of middle white circle = 6
Area of middle white circle = π*6^2 = 36π
Radius of the big circle = 12
Area of the big circle = π*12^2 = 144π
Area of orange = area of big circle - area of middle white circle - area of 4 medium white circles + area of 3 little orange circles = 144π - 36π - 36π + 12π = 84π
Josh says that −5/4 has the same quotient as 5/−4 . Is this true or false?
Answer:
true 100%
Step-by-step explanation:
There are 15 plates in the kitchen cabinet. The diameter of each plate is either 9 inches or 12 inches. The diameter of all 15 plates combined is 150 inches.
Which system of equations can be used to find the number of 9-inch plates, x, and the number of 12-inch plates, y, that are in the cabinet?
Answer:
Step-by-step explanation:
The important thing to remember here is that the number of plates is a different equation from the one that uses the diameter of the plates. The number of plates will make up one equation; the diameter of the plates will make up the other equation. As far as the number of plates go, we have 15 total. Let's call the 9" plates x and the 12" plates y according to the instruction given. If we have a mixture of 9 and 12 inch plates and we have a total of 15 plates, the first equation regarding the number of plates is
x + y = 15
Now on to the diameters. The 9" plates are x's and the 12" plates are y's and the inches refer to the diameter, of which the total is 150". Therefore, the second equation regarding the diameter of the plates is
9x + 12y = 150
Those 2 equations make up the system. It doesn't say you have to solve it, but if you did, you would find that there are 10 9" plates and 5 12" plates in the cabinet.
help me plzz pllz help now im on a time line
Answer:
Oki, mizuki here to help!
Hi there user, looks like you need help!
Anyways, option B is the correct answer!
Step-by-step explanation:
How to find average speed: distance/time
Since the graph shows 480 meters in 6 seconds, option B should be the correct answer!
Hope this helped!
Step-by-step explanation:
we know that
Speed = Distance/ Time
so the correct answer is B
y is inversely proportional to x.
When x=9, y = 8.
Find y when x= 6.
Answer:
y = 12 when x = 6
Step-by-step explanation:
The equation for inverse proportion is
xy = k where k is a constant
Let x = 9 and y = 8
9*8 = k
72 = k
The equation is xy = 72
Let x=6
6*y = 72
Divide each side by 6
6y/6 = 72/6
y =12
Please help me with this.
Answer:
M1=35, M2=77, M3=49, M4=77, M5=62, M6=28
Step-by-step explanatio
Answer:
Angle 1) 35
Angle 2) 77
Angle 3) 49
Angle 4) 77
Angle 5) 62
Angle 6) 28
Step-by-step explanation:
Start with angle 3)
You have 2 angles for this one already, 90 and 41
All angles in a triangle have the sum of 180, therefore
Angle 3 = 180 - 90 - 41
Angle 3 = 49
Next is Angle 6)
You have Angle 3 and 103
Angle 6 = 180 - 49 - 103
Angle 6 = 28
Now Angle 2)
Angle 2 is on the same line as 103 and are supplementary, the sum is 180
Angle 2 = 180 - 103
Angle 2 = 77
Angle 4)
2 and 4 are vertical opposites with the same measurement, so 77
Angle 1)
Using Angles 1 and 2 and 68, they have a sum of 180
Angle 1 = 180 - 77 - 68
Angle 1 = 35
Angle 5)
Now with Angle 4 and 41 thats given, Angle 5 is
180 - 77 - 41 = 62
complete:
a 20% x ____ = $30
Answer:
20/100*x=$30
20x/100=$30
x/5=$30
x=$30*5
x=$150
Step-by-step explanation:
20 percent of 150 equals 30 so 150 times 20 percent would give you 30
pleasee helppppp im so close to being done and this is my last day !!
ANSWER FOR UR QUESTION!
Graph
Find f(f(x))
Describe the Transformation
Find the Domain of the Composition f(f(x))
Solve for x
Solve the System of Equations
Find the Area Between the Curves
Solve by Graphing
A rectangular-shaped school courtyardhas a length of 280 feet and a width of150 feet wide. What is the approximatelength of a diagonal of the courtyard tothe nearest tenth?
Answer:
317.6 feet
Step-by-step explanation:
the length of the diagonal can be determined using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
280² + 150²
= 78,400 + 22,500
= 100,900
take the square root of 100,900
= 317.648 feet
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
317.6 to the nearest tenth
Mr. McGregor has plowed a square plot of land to make a garden. The area of the square garden is 256 ft. To the 2nd power
What is the length of one side of the garden?
Answers:
16 ft
32ft
64ft
128ft
Answer:
16 ft
Step-by-step explanation:
Area = Side^2 = (s)^2 = 256, Side = 16.
So, 16 ft.
Mark this as Brainliest if this was correct! I really appreciate it! :D
Answer:
16ft
Step-by-step explanation:
If these two triangular puzzle pieces are to be made congruent, what must be the measure of angle z?
Answer:
116
Step-by-step explanation:
180-28=152
152-36=116
The answer please for my online class
Answer:
B. -500
Step-by-step explanation:
[tex] \dfrac{(2a^4)^2}{a^0a^5} = [/tex]
[tex] = \dfrac{2^2a^8}{a^5} [/tex]
[tex] = 4a^3 [/tex]
[tex] = 4(-5)^3 [/tex]
[tex] = 4(-125) [/tex]
[tex] = -500 [/tex]
A parallelogram has a base of 9 km and a height of 5 km. A triangle has a base of 6 km and a height of 3 km. How many times greater is the area of the triangle?
Answer:
Parallelogram has greater area.
Step-by-step explanation:
Given:
Base of parallelogram = 9 km
Height of parallelogram = 5 km
Base of triangle = 6 km
Height of triangle = 3 km
Find:
Greater area
Computation:
Area of parallelogram = Base x Height
Area of parallelogram = 9 x 5
Area of parallelogram = 45 km²
Area of triangle = (1/2)(b)(h)
Area of triangle = (1/2)(6)(3)
Area of triangle = (1/2)(18)
Area of triangle = 9 km²
Parallelogram has greater area.
Solve graphically: 2x - y = 7 and x - 2y = 5.
Answer:
(3, - 1)
Step-by-step explanation:
We want to solve the system of equations:
2*x - y = 7
x - 2*y = 5
graphically.
To do it, we need to graph both lines, it will be easier if we rewrite both lines in a more general way, like in the slope-intercept form:
y = -7 + 2*x
y = -(5/2) + x/2
Now, a solution of the system is a point (x, y) such that the point is a solution to both equations, then, when we graph the lines, as that point belongs to both equations, we should see that both lines pass through that point.
Then to find the solution of the system, we just need to graph the lines and find the point where the lines intersect.
Below, you can see a graph of the lines, and is easy to see that the lines do intersect at the point (3, - 1)
What's the rule for the following sequence?
4, 1, -2, -5, …
Answer:
7-3n
Step-by-step explanation:
the difference between 4, 1 is 1 -4= -3
the difference between 1, -2 is-2-1=-3
The formula is a + (n-1)d => 4 + (n-1)-3
=> 4 -3n +3
=> 7-3n
Answer:
Subtract -3
Step-by-step explanation:
4--3 is 1, 1--3 is -2, -2- -3 is -5, when subtracting negatives they add together to from a bigger negative.
what is 14.235 rounded to t nearest tenth
Answer:
14.2
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
THE ANSWER IS 14.2
Step-by-step explanation:
What is the inverse of the function g(x) = x + 16?
Answer:
[tex]g {}^{ - 1} (x) = 2 \sqrt[3]{x - 16} [/tex]
choose (2)
Please with explanation
Answer:
7.5 ,9.1 ans. hhfjvfbhhvvnjgvjki
what is 20% of 90???
Answer:
answer :
18
Step-by-step explanation:
use calculator it's easy to solve
Answer:
18
Step-by-step explanation:
20% of 90 = (20/100 )* 90
= 1/5 * 90
= 18
Which of the following is an arithmetic sequence?
what are the points when you graph y = -7x -1
Answer: I believe you mean x and y intercepts? They are (0, -1) and (-1/7, 0)
Step-by-step explanation:
Plug in 0 for x and y (one at a time) for each intercept. eg The x intercept is at y=0 and the y intercept is at x=0.
Here is an inequality: -2x>10
List some values for x that would make this inequality true.
Answer:
The right solution is "[tex]x>-5[/tex]".
Step-by-step explanation:
The given inequality is:
⇒ [tex]-2x>10[/tex]
By solving the above expression, we get
⇒ [tex]x >-\frac{10}{2}[/tex]
⇒ [tex]x>-5[/tex]
Thus the above is the correct answer.
the sum of three consecutive natural number is 30 find the numbers
Answer:
9 + 10 + 11
Step-by-step explanation:
guess and check
Answer:
9,10,and 11
Step-by-step explanation:
Does (8,4) make the equation y = x true?
Answer:
false
Step-by-step explanation:
(8,8) or (4,4)
What is the approximate measure of the length of the tennis court, x? A. 49.9 ft B. 72.0 ft C. 93.1 ft D. 78.0 ft
HELP!
If the volume of the pyramid is 216 cm, and the length of s is 6 cm, what is the length of the altitude, h?
A. 42cm
B. 36cm
C. 35cm
D. 18cm
The height of the altitude h is 18 cm.
What is an altitude?Altitude is the vertical height of an object above some chosen level.
To calculate the length of the altitude h, we use the formula below
Formula:
h = 3v/l²................ Equation 1Where:
v = Volume of the pyramidl = Length of the baseh = length of the altitudeFrom the question,
Given:
v = 216 cm³l = 6 cmSubstitute these values into equation 1
h = 3×216/6²h = 18 cmHence, the right option is D. 18 cm.
Learn more about altitude here: https://brainly.com/question/27816517
#SPJ1