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].
The selling price of a fan excluding VAT is Rs 1250. It is given that the VAT rate is 15 %. Find the price of the fan inclusive of VAT.
Answer:
Rs 1,437.5
Step-by-step explanation:
VAT = 15% = 15/100 × Rs 1250 = Rs 187.5
the price inclusive of VAT = Rs 1,250 + Rs 187.5
= Rs 1,437.5
Expand the function.
f(x) = (3x - 1)3
Answer:
[tex](a-b)^3 = a^3 - b^3 - 3a^2b + 3ab^2\\\\a = 3x, \ b = 1\\\\(3x-1)^3 = (3x)^3 - (1)^3 - 3(3x)^2(1) + 3(3x)(1)^2\\\\[/tex]
[tex]= 27x^3 - 1-3(9x^2)+ 9x\\\\=27x^3 -27x^2 +9x -1[/tex]
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
We have,
To expand the function f(x) = (3x - 1)³, we can use the binomial expansion formula, which states:
(a + b)³ = a³ + 3a²b + 3ab² + b³
In this case,
a = 3x and b = -1.
Substituting these values into the formula, we get:
[tex](3x - 1)^3 = (3x)^3 + 3(3x)^2(-1) + 3(3x)(-1)^2 + (-1)^3[/tex]
Simplifying further:
(3x - 1)³ = 27x³ - 9x³ + 9x - 1
Therefore,
The expanded form of the function f(x) = (3x - 1)³ is 27x³ - 9x² + 9x - 1.
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√2,√5,√9,√15 order from least to greatest
It takes 0.750.75 cups of sugar to make a batch of lemon cookies. I have 5.55.5 cups of sugar. How many batches can I make?
Triangle JKL has the coordinates listed: J (5, -8), K (10, -8), L (7, -4) Where is J’ after a reflection over the y-axis?
The Rule for reflection over the y-axis is given by (x,y) to (-x,y).
so, J' (-10,-8)
✐----------------------
hope it helps...
have a great day!
Answer:
J' Coordinates = (-5, -8)
Step-by-step explanation:
We know that in the coordinate point J (5, -8);
x-value = 5
y-value = -8
In order to reflect J over the y-axis, we will keep the y-value of the coordinate same and then reverse the x-value to it's opposite, Therefore the J' coordinates would be;
x-value = -5
y-value = -8
J' Coordinates = (-5, -8)
Hope this helps!
Mary cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?
Answer:
Each piece is 1.12 meters long
Step-by-step explanation:
7 equal pieces = divide x by 7
equation: 7.84 / 7
Can someone answer this
Answer:
Step-by-step explanation:
Umm I believe it would be 7189939
Question 2
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area?
Answer
F ) It will increase by 12 square feet.
G )It will decrease by 12 square feet.
H )
It will increase to 39 square feet.
J )
It will decrease to 12 square
feet.
Answer:decrease by 12 feet
Step-by-step explanation:I did the math
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, the new area will be decreased by 12.
How does the area of a rectangle, and its length and width related?The area of a rectangle is the product of its length and width.
If a rectangle has a length L units and a width of W units, then
Area = L × W squared units.
A rectangular table has an area of 27 square feet. If its length and width are changed to 2/3 of their original size, what will be the effect on the area.
Area = L × W
Let the length and width are x and y
27 = x × y
xy = 27
The new area if its length and width are changed to 2/3 of their original size
Area = L × W
[tex]27 \times 2/3 \times 2/3\\\\= 3 \times 4\\\\= 12[/tex]
Therefore, the new area will be decreased by 12.
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The sum of the measures of angle P and angle Q in 180°. The measure of angle P is (4x + 12)°. The measure of angle Q is (2x - 24)°. What is the value of x?
Answer:
32
Step-by-step explanation:
Given
m<P = 4x+12
m<Q = 2x-24
If the sum of P and Q is 180, then;
4x+ 12 + 2x - 24 = 180
4x+2x+12-24 = 180
6x - 12 = 180
6x = 180+12
6x = 192
x = 192/6
x = 32
Hence the value of x is 32
pliss solve and give explaniaton
Answer:
300in²
Step-by-step explanation:
l= 12
w= 9
h= 2
Substitute into the equation
S= 2(lw+ wh + hl)
S= 2( 12x9 + 9x2+ 12x2)
S= 2( 108+ 18 + 24)
S= 2( 150)
S= 300
This season, the probability that the Yankees will win a game is 0.6 and the probability that the Yankees will score 5 or more runs in a game is 0.57. The probability that the Yankees lose and score fewer than 5 runs is 0.34. What is the probability that the Yankees would score fewer than 5 runs when they win the game? Round your answer to the nearest thousandth.
The probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
The probability that the Yankees will win a game P(win) = 0.6
The probability that the Yankees will score 5 or more runs in a game is:
P(s>5) = 0.57
The probability that the Yankees lose and score fewer than 5 runs is:
P(s<5) = 0.34
To find the probability that the Yankees would score fewer than 5 runs when they win the game:
This is the case of probabilities of one event and another event together we will multiply the respective probabilities of the event:
= P(win)×P(s<5)
= 0.6×0.34
= 0.204
Thus, the probability that the Yankees would score fewer than 5 runs when they win the game is 0.204 if the probability that the Yankees will win a game is 0.6
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SOMEONE HELP ME WITH 13 and 14 please!!!! Will make
U brainlist!!!
Answer:
here u go
Step-by-step explanation:
and here is 8 and 9
Which is true given the linear equation below?
3x+4y=4
Answer:
y= −3/4x + 1
x= -4/3y + 4/3
Step-by-step explanation:
Let's solve for y.
3x+4y=4
Step 1: Add -3x to both sides.
3x+4y+−3x=4+−3x
4y=−3x+4
Step 2: Divide both sides by 4.
4y4=−3x+44
y=−34x+1
___________
Let's solve for x.
3x+4y=4
Step 1: Add -4y to both sides.
3x+4y+−4y=4+−4y
3x=−4y+4
Step 2: Divide both sides by 3.
3x3=−4y+43
x= -4/3y + 4/3
math papa algebra caculator, thank me later
Mrs. Jackson has only $127.50 to spend at a clothing store. He
wants to buy a shirt that costs $87, including tax, and some
bracelets that cost $4.50 each, including tax.
Write an equation to determine, x, the amount of bracelets Mrs.
Jackson could buy.
Equation: ________________________________________________
Solve the equation to determine the number of bracelets Mrs.
Jackson could buy.
Answer:
$4.50x = $127.50 - $87
x = $40.50 / $4.50
x = 9
Step-by-step explanation:
The amount she can spend on bracelets is the total amount she wants to spend less the cost of the shirt
$4.50x = $127.50 - $87
4.50x = 40.50
divide bot side by 4.5
x = 9
F(x)=3x^2+2 the quadratic function g(x) is the function f(x) stretched vertically by a factor of 4. Enter the equation of g(x) in the box
Answer:
g(x) = 12*x^2 + 8
Step-by-step explanation:
For a function f(x), a vertical stretch of scale factor k is defined as:
g(x) = k*f(x)
In this case, we know that f(x) = 3*x^2 + 2
And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4
and:
g(x) = 4*f(x)
Replacing by the actual function, we get
g(x) = 4*(3*x^2 + 2)
g(x) = 4*3*x^2 + 4*2
g(x) = 12*x^2 + 8
What is the area of the given figure in square centimeters?
En una oficina hay 96 computadores en total. La razón entre los computadores que deben ser reparados y aquellos que se encuentran operativos es 3 : 5. ¿Cuántos computadores de la oficina deben ser reparados en total?
Answer:
36 computadores deben ser reparados.
Step-by-step explanation:
Dado que en una oficina hay 96 computadores en total, y la razón entre los computadores que deben ser reparados y aquellos que se encuentran operativos es 3:5, para determinar cuántos computadores de la oficina deben ser reparados en total se debe realizar el siguiente cálculo:
(96 / (3+5)) x 3 = computadores que deben ser reparados
(96 / 8) x 3 = computadores que deben ser reparados
12 x 3 = computadores que deben ser reparados
36 = X
Por lo tanto, 36 computadores deben ser reparados.
Suppose the two measures of a center are 82.5 degrees and 83.6 degrees. Which value is the median?
A. 82.5
B. 83.6
Answer:
83.05
Step-by-step explanation:
The two measures of the center are 82.5 and 83.6
The value of the median can be calculated a follows
= 82.5 + 83.6/2
= 166.1/2
= 83.05
Hence the value of the media is 83.05
What us the range of the data below?
Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 3 Bonus question
Answer:
226
Step-by-step explanation:
Area of rectangle:
x+6=17
x=11
11+6=17
11+3=14
17×14=238
Area of triangle:
[tex] \frac{1}{2} \times b \times h[/tex]
Use phytagoras theorem to find the base of the triangle:
c²=a²+b²
5²=4²+b²
25=16+b²
b²=25-16
b²=9
b=√9
b=3 (only the half)
b=6 (the whole base)
[tex] \frac{1}{2} \times 6 \times 4[/tex]
3×4
12
Shades region:
238-12
=226
Calculate the volume of the cylinder
Answer:
4^4 = 16 (we square our radius when finding area)
16 x 3.14(we then multiply the squared radius with pi so we could get the complete area) = 50.24
Now we multiply the area of one circle by the height to get the PRISM'S volume.
50.24(area) x 13(height) = 653.12 cm^3 is your answer.
The two windows shown are similar. What is the height of the larger window?
The water tank in your school holds 20 liters of water. One day it was 34 full. That day, 14 liters of tank capacity was used up. How many liters of water remained in the tank at the end of the day
Answer:
20
Step-by-step explanation:
The water tank in the school hold 20 liters of water
One day it was 34 liters full
14 liters of water was used up
Therefore the quantity of water left can be calculated as follows
= 34-14
= 20
Hence 20 liters of water remains in the tank
Please help so I don’t fail!!
Solve each equation by completing the square
1)b^2-4b-16=-7
2) 5v^2+20v-54=6
Answer:
b = 2 + sqrt13, 2 - sqrt13
v = 2, - 6
Sorry if you need to show work it's really hard to type it out since I don't have the symbols
Courtney would like to buy a new phone for $680. So far, she has saved $240. If she earns $8 an hour
babysitting, how many hours will she need to work to be able to buy the phone?
Answer:
she will need to work for 55 hours to buy the phone
Step-by-step explanation:
680 - 240 = 440
that's how much more she needs
449 ÷ 8 = 55
and that's the answer
55
hope that helped
Answer:
55 hours
Step-by-step explanation:
Well first we need to set up the equation
We know she needs 680$ to buy the phone so the equation must be equal to 240
She has 240 and earns 8 dollars per hr so were finding out how many hours of work is needed to be able to buy the phone
Represent the number of hours worked by "x"
Set the equation up as
240 + 8x = 680
Add -240 to both sides of the equation to make 240 be 0 and 680 be 440
8x = 440
divide both sides of equation by 8 to get what x equals
x=55
She needs to work 55 hours
Determine whether a triangle with the given side lengths is a right triangle.
Answer:
1. Right Triangle
2. Right Triangle
3. Not a Right Triangle
4. Not a Right Triangle
On the Unit Circle:
If cos x < 0 which Quadrant(s) is the angle?
1. I &IV
2. II & III
3. I &II
4. III & IV
Answer:
Quadrant I and quadrant IV
Step-by-step explanation:
Given that cos x< 0
x < arccos 0
x < 90degres
Since cos s positive in the first and 4th quadrant, hence the angle lies in the Quadrant I and quadrant IV
a die has six faces numbered 1 to 6 .on a single roll of the die ,find the probability of getting 10
Answer:
3/36
Step-by-step explanation:
(trigonometry) solve for x
Answer:
x around 53.7
Step-by-step explanation:
We use cosine^-1 to solve for x
In the calculator put in cos^-1 (16/27)
On Tuesday afternoon at camp, Connor did archery and sailing before dinner. Archery started at 12:00 P.M. Connor spent 1 hour and 15 minutes at archery and 2 hours sailing. What time did sailing end?
Answer:
Sailing end at 3:15 AM
Step-by-step explanation:
Connor did archery and sailing before dinner (in that order).
He started at 12:00 PM
We know that:
In archery, Connor spent 1 hour and 15 minutes
In sailing, Connor spent 2 hours.
The total time spent is:
1 hour + 15 minutes + 2 hours
3 hours + 15 minutes.
Then sailing end 3 hours and 15 minutes after 12:00 pm = 0:00 am, this is:
3:15 AM
Sailing end at 3:15 AM