Answer:
1.099 * 10^-8 ; 4.23 * 10^-5 ; 0.0036
Step-by-step explanation:
Given :
p = 0.6
Sample size, n = 20
P(x = 0)
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
1 - p = 1 - 0.6 = 0.4
P(x = 0) = 20C0 * 0.6^0 * 0.4^20
P(x = 0) = 1 * 1 * 1.099511627776E−8
P(x = 0) = 1.099 * 10^-8
2) Exactly 3;
P(x = 3) = 20C3 * 0.6^3 * 0.4^17
P(x = 3) = 1140 * 0.216 * 0.00000017179869184
P(x = 3) = 0.0000423037098786816
P(x = 3) = 4.23 * 10^-5
3.) More than 17
P(x > 17) = P(x = 18) + P(x = 19) + P(x = 20)
Using calculator :
P(x > 17) = 0.0036
help me it's about solutions of triangles
about:
-sine rule
-cosine rule
-area of triangles
Answer:
Area of the triangle covered by the cars = 910.45 square km
Step-by-step explanation:
Since, all the sides of triangle ABC are given,
And formula for the area of a triangle with all sides given is,
Area = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Here, s = [tex]\frac{a+b+c}{2}[/tex]
And a, b, c are the measures of the sides of the triangle.
If a = 39 km, b = 87 km and c = 58 km
s = [tex]\frac{39+87+58}{2}[/tex]
s = 92
Therefore, (s - a) = 92 - 39
= 53
(s - b) = 92 - 87
= 5
(s - c) = 92 - 58
= 34
Now area of the triangle ABC = [tex]\sqrt{92(53)(5)(34)}[/tex]
= [tex]\sqrt{828920}[/tex]
= 910.45 km²
Area of the triangle covered by the cars = 910.45 square km
what number are even and wich numbers are odd?
Answer:
Numbers 1, 3, 5, 7, and 9 and so on are uneven. These are only up to ten. Numbers 0, 2, 4, 6, 8, and 10 are even. If 0 is even just skip one number (you skip 1) and the number after (which is 2) is even and you continue so. For uneven numbers you do the same you start from 1 then skip a number (which is 2) and end up with 3 and you also co tune onward for this. I hope it helps!
What is the value of h?
Answer:
in triangle
sin45=p/h
1/√2=8/h
h=8√2
Write an equation for each line?
what is the percent change in the price of a gallon of gas, to the nearest whole percent? is it an increase or a decrease?
Answer:
13,64% decrease.
Explanation:
[tex]420/3079*100=13,64[/tex]
Find the zeros of y=x^2+6x-4 by completing the square
Answer:
so i did the math and i got c
Ten more than 2 times a number, n, is 16. What is the value of n?
A.
3
B.
–13
C.
–3
D.
13
Answer:
A
Step-by-step explanation:
Turn into equation
2n+10=16
Subtract 10 from both sides
2n=6
Divide by 2 from both sides
n=3
A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
13
оооо
31
О 34
Answer:
Since f(n + 1) = f(n) - 3, we can also say that f(n - 1) = f(n) + 3.
By which we can say f(n - 3) = f(n) + 9
Since f(4) is 22, then f(1) must be 22 + 9, or 31.
Solve the equation 8b+7 (2b + 4) = 94
b= ltype your answer...
Answer:
b = 3
Step-by-step explanation:
Helpppppp Fast!!!!!!!!!!!!
Answer:
1 1/3 feet by 3 feet
Step-by-step explanation:
Solve the question below, please
Answer:
x = 133.33°
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
Since we know the values of all three side lengths, we solve the equation for x:
[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]
For the triangle in the figure: a=4.1, b=8.5, c=11.7, x=angle C. Applying the formula:
[tex]\displaystyle \cos x=\frac{4.1^2+8.5^2-11.7^2}{2*4.1*8.5}[/tex]
[tex]\displaystyle \cos x=\frac{-47.83}{69.7}[/tex]
[tex]\displaystyle \cos x=-0.6862[/tex]
[tex]x = \arccos (-0.6862)[/tex]
x = 133.33°
A blueprint uses a scale factor of 3 inches = 2 feet. What is the area on the blueprint of a 3,500 square foot house in inches?
Answer:
7875 square inches
Step-by-step explanation:
4ft^2 = 2ft * 2ft
4ft^2 = 3in * 3in
4ft^2 = 9in^2
For 3,500 square foot
3,500 square foot = x
Divide bith expressions
4/3500 = 9/x
4x = 9 * 3500
4x = 31500
x = 31500/4
x = 7875 square inches
Hence the area of the house in inches is 7875 square inches
He used the following steps:12/1 x 3/4=36/4
-36/4=9
What error did Robert make?
OA) Robert used subtraction rather than multiplication.
OB) Robert used addition rather than multiplication.
Robert forgot to find the reciprocal of before
OC)
multiplying
Robert forgot to find the reciprocal of 1 before
multiplying.
OD)
Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minu
help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! will mark brainliest if correct
Answer:
due
Step-by-step explanation:
√−100 = + i
edge2021 Algebra 2
Step-by-step explanation:
√-100
= √100 * √-1 (√mn = √m * √n)
= 10i. (i² = -1, i = √-1)
Ray does chores every day for a small allowance.he earns 1.50 a day for washing the dishes and x dollar a day taking out trash
Answer:
um
Step-by-step explanation:
what problem is their to figure out
Help Please ASAP!!!!!!!!!
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] - \frac{2}{5} - ( - \frac{9}{15} ) = \\ [/tex]
[tex] - \frac{2 \times 3}{5 \times 3} + \frac{9}{15} = \\ [/tex]
[tex] \frac{ - 6}{15} + \frac{9}{15} = \frac{9 - 6}{15} = \\ [/tex]
[tex] \frac{3}{15} \\ [/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Help me! Which is the right correct answer?
Answer:
the way bottom one i think i dont rember planes anymore
Step-by-step explanation:
Answer:
(-4 1/2,3) is the final result.
Step-by-step explanation:
V(4 1/2, -3)
The order of the reflections do not matter.
So if I consider the x axis first, only the y value will change. Seems weird, but try doing this on a piece of scrap paper.
(4 1/2, 3 ) is the new point. The point is reflected an equal distance behind the mirror on the x axis.
Now do the y axis. Only the x value of the point is changed.
(-4 1/2, 3) is what happens.
===================================
Does the order matter?
V(4 1/2, - 3) goes across the y axis to become (-4 1/2 , - 3)
V'(-4 1/2, -3) goes across the x axis to become (-4 1/2, 3) which is exactly what we got before.
Order does not matter for these 2 transformations.
if you have 1.234545 davidi by 50=
Answer:
The answer is 0.02469090
Step-by-step explanation:
1.234545÷50=0.02469090
Hope this helps you.
Which of the following problems would NOT have a solution?
Pablo has 30 pieces of candy and wants to divide them into 6 equal piles. You want to know how many pieces will be in each pile.
Pablo has 6 pieces of candy and wants to divide them into 4 equal piles. You want to know how many pieces will be in each pile.
Pablo has 0 pieces of candy and wants to divide them into 6 equal piles. You want to know how many pieces will be in each pile.
Pablo has 6 pieces of candy and wants to divide them into 0 equal piles. You want to know how many pieces will be in each pile.
Answer:
the last scenario
Step-by-step explanation:
you cannot divide anything by zero -- it's considered to be undefined
Find the x and y intercept of y = 5x - 2. Random answers will be reported. Who ever answers right first will be marked brainlest.
Answer: x intercept is 2/5, and y intercept is -2
Step-by-step explanation:
Bascially when your solving for x intercept, substitute 0 for y, then for this equation u get 0=5x-2, which is equal to 5x=2, so the x intercept is 2/5. You do the same thing for y intercept, so substitute 0 for x this time, then you'd get y=-2.
Solve 3[-x + (2 x + 1)] = x - 1.
x = 2
Answer:
x = -2
Step-by-step explanation:
[tex]3[- x + (2x + 1)] = x - 1[/tex]
[tex] = > 3[ - x + 2x + 1 ] = x - 1[/tex]
[tex] = > 3[x + 1] = x - 1[/tex]
[tex] = > 3x + 3 = x - 1[/tex]
[tex] = > 3x - x = - 1 - 3[/tex]
[tex] = > 2x = - 4[/tex]
[tex] = > x = \frac{ - 4}{2} = - 2[/tex]
three artist each painted 27 frog and 15 lions two other artist each painted the same number of lions and twice as many frogs.how many animals did the five paint in all?
The factory makes 400 cars per day. If the workday is eight hours long. What is the hourly rate at which car are produced
Answer:
50
Step-by-step explanation:
400/8 =50
Find the area of the figure. Assume all measurements are centimeters.
Answer:
The total area of the figure is 68.5 square centimeters.
Step-by-step explanation:
To calculate the total area, we must concieve it by the sum of areas of smaller triangles and rectangles. We present our strategy in the image attached below:
[tex]A = A_{1}+A_{2}+A_{3}+A_{4}+A_{5}[/tex] (1)
Where all areas are measured in square centimeters.
Please notice that [tex]A_{2}[/tex], [tex]A_{3}[/tex] and [tex]A_{5}[/tex] are triangles and [tex]A_{1}[/tex] and [tex]A_{4}[/tex] are rectangles.
The resulting area is calculated below:
[tex]A = (1)\cdot (2) + \frac{1}{2}\cdot (2)^{2} +\frac{1}{2}\cdot (3)\cdot (7)+(9)\cdot (5)+\frac{1}{2}\cdot (2)\cdot (9)[/tex]
[tex]A = 68.5\,cm^{2}[/tex]
The total area of the figure is 68.5 square centimeters.
What is the value of 6x - 3y if x = 5 and y = -1?
F. 11
G. 33
H. 65
I. 65
Answer:
G. 33
Step-by-step explanation:
[tex]6x - 3y \\ 6(5) - 3( - 1) \\ 30 + 3 \\ 33[/tex]
Now, if x = 5 and y = -1
6(5) -3(-1)
= 30+3
= 33
simply 4 2/9 + 1 5/6 - 21/3 pls I need the answer to this
6 1/8
6 1/8
this is the answer
Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins,
Alan uses 5 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 3 cup of oil and 1 egg. Alan has 4 cups of
oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan
wants to maximize the money raised at the bake sale. Let x represent the number of trays of blueberry muffins and
y represent the number of trays of bran muffins Alan bakes.
What are the constraints for the problem?
Answer:
1/3x + 1/2y < or equal to 12
2x + y < or equal to 12
x > or equal to 0
y > or equal to 0
1/3x + 1/2y < or equal to 4
Step-by-step explanation:
none
Answer:
A on edge :)
Step-by-step explanation:
edge2021
I appreciate it bro... You are helping me so much
Answer:
○ [tex]\displaystyle Perpendicular[/tex]
Step-by-step explanation:
Convert each equation to Slope-Intercept Form:
[tex]\displaystyle 3y - 6x - 7 = 0 → 3y - 6x = 7 → 3y = 6x + 7 → y = 2x + 2\frac{1}{3} \\ \\ 2y + x = 3 → 2y = -x + 3 → y = -\frac{1}{2}x + 1\frac{1}{2}[/tex]
Take a look at [tex]\displaystyle 2[/tex] and [tex]\displaystyle -\frac{1}{2}.[/tex] Their rate of changes [slopes] have a '2' in common, they are not similar. This tells you that these linear equations are not parallel, but perpendicular, because perpendicular equations have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES].
Did you catch it at all?! ;)
I am joyous to assist you at any time.