Step-by-step explanation:
a. The random variable is a binomial distribution.
b. the sample space, X = {0, 1, 2, 3, 4, 5}
the pmf
we solve for this using
nCx * P^x * (1-p)^n-x
n = 5
p = 0.3
for x = 0
5C0 * 0.3⁰(1-0.3)^5-0
= 1 * 1* 0.7⁵
= 0.16807
for x = 1
5C1*0.3¹(1-0.3)^5-1
= 5*0.3(0.7)⁴
= 5x0.3x0.2401
= 0.36015
for x = 2
5C2 * 0.3² * (1-0.3) ^5-2
= 0.30870
for x = 3
5C3 * 0.3³ * (1-0.3) ^ 5-3
= 10 * 0.027 * 0.7²
= 0.1323
for x = 4
5C4 * 0.3⁴ (1-0.3) ^ 5-4
= 5 * 0.0081 * 0.7
= 0.02835
for x = 5
5C5 *0.3⁵ (1- 0.3) ^5-5
= 1*0.00243*0,7⁰
= 0.00243
c. E[X] = N*p = 5*0.3 = 1.5
var[X] = np(1-p) = 5*0.3*0.7 = 1.05
d. 20/9 = 2.222
so we have that if x is greater than or equal to 3, cost will exceed 20
p(x=3) + p(x=4) + p(x=5)
= 0.1323 + 0.02835 + 0.00243
probability = 0.16308
E[C] = 1.5 * 9 = 13.5
VAR[C] = 1.05 * 9 = 9.45
Please answer the question and provide a solid definition of what an expression is, thank you :)
Answer:
The answer for x is 18
Step-by-step explanation:
You may realize that we have not yet discussed the distance around a very important geometric shape: a circle! The distance around a circle has a special name called the circumference. To find the circumference of a circle, we use this formula: C = 2πr
In this formula, π is pronounced “pi,” and is defined as the circumference of a circle divided by its diameter:
π
=
C
d
. We usually replace π with the approximation 3.14. The letter r represents the radius of the circle.
Let’s see where the formula for circumference comes from. Figure 4 shows a generic circle with radius r.
Answer:
Step-by-step explanation:
An expression is a sort of equation but without any number after the equal to sign
so 2x-7 would be an expression but 3x would not be a expression
3x is just a term
2+7 would also not be an expression because this can be simplified into 9 which is not a expression
2x-7=14 is not a expression cuz it has the equal to sign
-14 is not a expression because its a single number
When you see average rate of change what should you automatically think of
Answer:
Steady rate
Step-by-step explanation:
It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.
Can someone please help me with my homework its due in two hours!!!!!! Please i need it done soon.
Answer:
see explanation
Step-by-step explanation:
so, when a=-3, c is -20. now, to find b when a is -3, plug a (which is -3) into the equation b=4a-5 to get b=-17. so b=-17, c=-20. b is obviously larger (remember the negative sign)
when c is 21, a is 5. plug numbers in to get b=15.
when a is 6, there is no clear value for c, so i'd guess undefined. b however is 19
we can plot the line and the points, for problem 4 and all points above the line means that c is greater than b, and when below it's less than. doing this we get when a is 12, when a is 0, and when a is 5. hope this was clear
juan utiliza su bicicleta para hacer deporte cada dia recorre 10 kilometros a la mañana y 5 kilometros a la tarde ¿cuantos kilometros recorre e total al cabo de 5dias?
Answer:
75 kilómetros.
Step-by-step explanation:
Dado que Juan utiliza su bicicleta para hacer deporte, y cada día recorre 10 kilómetros a la mañana y 5 kilómetros a la tarde, para determinar cuántos kilómetros recorre en total al cabo de 5 días se debe realizar el siguiente cálculo:
(10 + 5) x 5 = X
15 x 5 = X
75 = X
Por lo tanto, Juan recorre 75 kilómetros al cabo de 5 días.
Solve for x, then
find the
measurement of
the tangents.
Here, as the tangents are given above in variable length with radius of the circle as r = 4.4 cm, we get as
since the sides opposite to the equal angles are always equal we get as,
x-2 = 2x-10
===> -2 +10 = 2x-x
==> 8 = x
hence the measurement of the Tangents is,
putting x = 8
2(8)-10 ==> 16-10 ==> 6 cm
length of each tangent is 6 cm.
Answer:
8
Step-by-step explanation:
2x - 10 = x - 2
2x - x = - 2 + 10
x = 8
jam brought three shirts for $3900 what is the cost of five shirts
Answer:
6,500
Step-by-step explanation:
Answer:
6500
Step-by-step explanation:
3900 divided by 3 is 1300 which is the cost of 1 shirt, so 1300 times 5 is 6500
Can I get help finding the value of m and n
9514 1404 393
Answer:
m = 35
n = 110
Step-by-step explanation:
Adjacent angles in a parallelogram are supplementary.
n° = 180° -70°
n = 110
Opposite angles in a parallelogram are congruent.
2m° = 70°
m = 35 . . . . . . divide by 2°
what’s the slope?? Please help
Answer:
Slope of the line represented by the table is 2.5.
Step-by-step explanation:
For a linear function,
Slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through (0, 12) and (-2, 7) will be,
Slope = [tex]\frac{12-7}{0-(-2)}[/tex]
= [tex]\frac{5}{2}[/tex]
= 2.5
Therefore, slope of the line represented by the table is 2.5.
Daniel is constructing boxes in the shape of triangular prism. How much cardboard is needed to make each box
Answer:
Area of cardboard required = 468 cm²
Step-by-step explanation:
Area of the cardboard required = Surface area of the triangular prism
Surface area of the triangular prism = Area of the lateral sides + Area of the triangular sides
Area of the one triangular side = [tex]\frac{1}{2}(\text{Base)}(\text{Height})[/tex]
= [tex]\frac{1}{2}(12)(9)[/tex]
= 54 cm²
Area of lateral sides = Perimeter of the triangular base × Height
Perimeter of the triangular base = 9 + 12 + 15
= 36 cm
Now area of the lateral sides = (36) × 10
= 360 cm²
Surface area of the prism = 360 + 2(54)
= 360 + 108
= 468 cm²
Therefore, area of cardboard required for each box = 468 cm²
A random sample of failure time of 49 kidney transplants (in months) is given: 5.27 43.72 3.96 20.34 44.06 31.18 21.98 34.99 39.36 3.39 23.42 43.41 34.35 46.71 64.87 4.53 7.02 40.50 7.38 37.74 13.49 68.48 48.74 12.85 24.15 27.33 4.82 20.00 55.28 20.83 24.13 11.80 13.82 31.55 36.69 52.57 12.45 40.07 16.86 15.54 15.54 3.85 4.08 5.62 17.44 3.38 41.61 29.52 21.61 If we assume failure time has a Gamma distribution answer the following questions (with 2 decimal points). . Find the critical value for the test (for significance level of 0.1).
Answer:
Critical value ≈ 1.299
Step-by-step explanation:
number of Kidney transplant ( n ) = 49
Determine the critical value for the test
the sample mean = ∑ failure time / n = 1252.28 / 49 = 25.56
next we determine the standard deviation of the sample
s = [tex]\sqrt{1/(n-1)(xi -X ) ^2}[/tex] = 17.3126
standard error = s / √n = 17.3126 / 7 = 2.4732
Given a significance level of 0.1
df (degree of freedom ) = n -1 = 49 - 1 = 48
∝ = 0.1
critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )
What is the area of a square that has a perimeter of 16?
Step-by-step explanation:
If the figure is a square with a perimeter of 16 inches, then each side of the square is 4 inch in length. Area is found by multiplying the length x the width. For a square, the length and width are the same. A = 16 sq
pls give brainlist + thanks
A card is selected at random from a standard deck of playing cards.
Compute the probability that the card is a 3. (Enter the probability as a fraction.)
Answer:
It's 4/52
Step-by-step explanation:
because there is four threes in a standard deck of playing cards which has 52 cards in all.
Answer:
4/52 = 1/13
Step-by-step explanation:
the are four 3's in standard deck of cards
What is the volume of the rectangular prism if it's 1.5" by 1" by 3.5"
Answer:
5.25
Step-by-step explanation:
1.5 x 1 x 3.5
Part D
What is the total volume of the cubic blocks?
Answer:
Volume of cubical tank = 0.278 yard³ (Approx.)
Step-by-step explanation:
Given:
Length of tank = 1/2 yard
Width of tank = 1/6 yard
Height of tank = 1/3 yard
Find:
Volume of cubical tank
Computation;
⇒ Volume of cubic block = (length)(width)(height)
⇒ Volume of cubical tank = (1/2)(1/6)(1/3)
⇒ Volume of cubical tank = 1/36 yard³
Volume of cubical tank = 0.278 yard³ (Approx.)
Answer: 1/36
Step-by-step explanation: This is the plato answer
What is the part of the steam engine that does the work?
the flywheel
the piston
the turbine
the cylinder
Answer:
Piston
Step-by-step explanation:
Because i took the test ..................................
HELP NOW
Which of the following is not true about every parallelogram?
Answer:
C
Step-by-step explanation:
Pls help! College Math!
Answer:
13+5 = 18
2-(5+4) = -7
3(2-13) +2(4) = -25
a = -9/2
Step-by-step explanation:
[tex]\int\limits^3_0 {(a f(x) + g(x))} \, dx = 0[/tex]
a(2) + (5+4) = 0
2a = -9
a = -9/2
I don’t know the answer
Answer:
(a+b) (a-b) =a^2 - b^2
In this question a=2, b=square root of 5
So 2*2=4 square root of 5 times square root of 5 is 5
4-5=-1
Answer:
I believe the answer is -1.
Step-by-step explanation:
So I distributed,
2 x 2 = 4
[tex]-\sqrt{5}[/tex] x 2 = [tex]-2\sqrt{5}[/tex]
[tex]\sqrt{5}[/tex] x 2 = [tex]2\sqrt{5}[/tex]
[tex]\sqrt{5}[/tex] x [tex]-\sqrt{5}[/tex] = -5
4 [tex]-2\sqrt{5}[/tex] + [tex]2\sqrt{5}[/tex] - 5 = ?
the radicals cancel out and 4 -5 = -1
please, someone, help me
Answer:
282.7 in³
Step-by-step explanation:
The solid is a cylinder
Volume of the cylinder = πr²h
Where,
radius (r) = 3 in.
height (h) = 10 in
Volume = π*3²*10
= π*9*10
= π*90
= 282.743339 ≈ 282.7 in³ (nearest tenth)
Write an equation for the line that is parallel to the given line and that passes through the given point.
Answer:
You just have to put it into Geogebra Classic. It's a great help for this kind of stuff
Can i get help with this math problem please? Thanks.
Answer:
(x+3), (y+9)
Step-by-step explanation:
Adding to x with translate the figure right (subtracting will translate it left), and adding to y will translate it up (subtracting will translate it down).
To get from a point on [tex]y[/tex] to the corresponding point on [tex]y_{1}[/tex], you would move 3 to the right and 9 up, so it would be (x+3), (y+9)
what I the Tangent of the 30° angle and the Tangent of the 60° angle?
Answer:
[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]
[tex]\tan(60) = \sqrt 3[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
Find [tex]\tan(30)[/tex] and [tex]\tan(60)[/tex]
The tangent of an angle is calculated as:
[tex]\tan(\theta) = \frac{Opposite}{Adjacent}[/tex]
So, we have:
[tex]\tan(30) = \frac{b}{a}[/tex]
This gives:
[tex]\tan(30) = \frac{3}{3\sqrt 3}[/tex]
3 cancels out
[tex]\tan(30) = \frac{1}{\sqrt 3}[/tex]
Rationalize
[tex]\tan(30) = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]\tan(30) = \frac{\sqrt 3}{3}[/tex]
Similarly;
[tex]\tan(60) = \frac{a}{b}[/tex]
This gives:
[tex]\tan(60) = \frac{3\sqrt 3}{3}[/tex]
3 cancels out
[tex]\tan(60) = \sqrt 3[/tex]
Can you figure it out
plssssssssssssss
What does congruent mean in mathematics
Answer:
same shape and size
Step-by-step explanation:
Answer:
Similarity in my opinion
I B.
A Peregrine Falcon took
only 9 seconds to dive
801 meters. What was
the average speed of
the falcon?
Answer:
89 meters per second.
Step-by-step explanation:
That is quite fast!
First, we are given that in 9 sec our falcon has flown 801 meters, let's write an equation for that:
9s = 801
So in order to get s, we divide each side by 9.
Solve!
s = 801/9
s = 89
Happy learning! Please give a brainliest if you found this helpful
An ice cream shop has a sign in the shape of an ice cream cone. The sign is made using a semicircle and a triangle, as modeled below.
Which is the best estimate of the area of the sign in square inches?
Answer: 50in²
Step-by-step explanation:
The area of the ice cream cone will be equal to 50.13 square inches.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the semicircle in a two-dimensional plane is called the area of the semicircle.
The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.
Given that the diameter of the semicircle is 6 inches and the height of the triangle is 12 inches.
The area of the cone will be calculated as,
A = Area of semicircle + Area of triangle
A = (1/2)πr² + (1/2) x B x H
A = (1/2) π (3)² + (1/2) x 12 x 6
A = 14.137 + 36
A = 50.13 square inch
Therefore, the area of the ice cream cone will be equal to 50.13 square inches.
To know more about an area follow
https://brainly.com/question/28876142
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(MATH) (6) ((PHOTO))
label is yd
Answer:
L = 8yd
Step-by-step explanation:
Volume of a rectangular prism = L × W × H
L×5¾yd×2½yd = 115 yd³
14⅜L = 115
L = 115 ÷ 14⅜
L= 8
PLEEEAAASSSE HELP!!!! NEED ASAP!! Thank you!!!!
Answer:
The rule for dividing fractions is you multiply the first fraction by the reciprocal of the second fraction:
[tex]\frac{a}{b} :\frac{c}{d} = \frac{a}{b} * \frac{d}{c}[/tex]Solve for the given:
[tex]\frac{x+1}{y}: \frac{g+1}{h} =[/tex][tex]\frac{x+1}{y}* \frac{h}{g+1}[/tex]Correct choice is D
Help thanks in advance
Answer:
C) 2/7, 1/2, 5/6, 4/2
Step-by-step explanation:
I need help with this by Wednesday Please Help!!!!!
Answer:
Step-by-step explanation:
To complete the given table we will substitute the output value to calculate the input value.
Given function is,
y = 2x + 4
For output value, y = 18
18 = 2x + 4
2x = 18 - 4
x = 7
For output value, y = 22
22 = 2x + 4
2x = 22 - 4
x = 9
For output value, y = 34
34 = 2x + 4
2x = 34 - 4
2x = 30
x = 15
Therefore, table will be,
Input (x) y = 2x + 4 output
7 18
9 22
15 34