Answer:
[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]
In which x is the number of which we want to find the probability.
Step-by-step explanation:
For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.
This means that [tex]p = 0.4[/tex]
Eight traffic fatalities
This means that [tex]n = 8[/tex]
Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is
This is P(X = x), in which x is the number of which we want to find the probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]
Based on the binomial probability principle, the probability involving the number of non-occupant is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]
Let :
Number of alcohol - impaired or non-occupant = kNumber of trials, n = 8Probability of success, p = 0.40q = 1 - p = 1 - 0.40 = 0.60Using the binomial probability relation :
[tex] P(x = x) = nCx \times p^{x} \times q^{n-x} [/tex] x = kSubstituting the values into the relation :
[tex] P(x = k) = nCk \times 0.40^{k} \times 0.60^{n-k} [/tex]
Hence, the required probability expression is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]
Learn more :https://brainly.com/question/23287510
determine the intercepts of the line
x intercepts (__ , __)
y intercepts (__ , __)
2. Define any variables and tell the slope and y-intercept of the situation. Then, write an equation to represent
the situation.
An electrician charges $75 for a service call and $25 for each hour they are on the job. If the electrician spends x hours at a house, what will the total charge, C(x) be?
Answer:
x=number of hours
c(x)= 25x+75
y-intercept= (0, 75)
Equation= y=25x+75
Slope= 25
Step-by-step explanation:
75 would be the y intercept(constant) because that's the initial charge for a call.
25 would be the coefficient for x because the hour you spend on the call varies.
The slope is how steep the line is, in this case it is 25.
x is the number of hours because that is the time that varies.
Many utility companies promote energy conservation by offering discount rates to consumers who keep their energy usage below certain established subsidy standards. A recent EPA report notes that 70% of the island residents of Puerto Rico hae reduced their electricity usage sufficiently to qualify for discounted rates. If five residential subscribers are randomly selected from San Juan, Puerto Rico, find the probability of each of the following events.a. All five qualify for the favorable rateb. At least four qualify for the favorable rates
Answer:
a. 0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. 0.5283 = 52.83% probability that at least four qualify for the favorable rates
Step-by-step explanation:
For each Puerto Rico resident, there are only two possible outcomes. Either they qualify for discounted rates, or they do not. The probability of a person in the sample qualifying for discounted rates is independent of any other person in the sample. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
70% of the island residents of Puerto Rico have reduced their electricity usage sufficiently to qualify for discounted rates.
This means that [tex]p = 0.7[/tex]
Five residential subscribers are randomly selected from San Juan, Puerto Rico
This means that [tex]n = 5[/tex]
a. All five qualify for the favorable rate
This is P(X = 5). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
0.1681 = 16.81% probability that all five qualify for the favorable rate.
b. At least four qualify for the favorable rates
This is
[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.7)^{4}.(0.3)^{1} = 0.3602[/tex]
[tex]P(X = 5) = C_{5,5}.(0.7)^{5}.(0.3)^{0} = 0.1681[/tex]
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.3602 + 0.1681 = 0.5283[/tex]
0.5283 = 52.83% probability that at least four qualify for the favorable rates
what is this answer h – 6.5 = 15
Answer:
h=43/2 = 21 1/2 = 21.5
Step-by-step explanation:
h−6.5=15
Add 6.5 to both sides.
h=15+6.5
Add 15 and 6.5 to get 21.5.
h=21.5
Pls help me!!!!!!!!!!!!!! It’s due soon
Answer:
54 cm²
Step-by-step explanation:
Area of a trapezoid = 1/2(b1+b2)h
You add together the bottom and top bases, and then divide it in half to get the average. Then you multiply it by the height.
1/2(12+6)6
1/2(18)6
9x6
54 cm²
Thomas lives more than 0.55 km and less than 0.75 km from his school.
Thomas lives from his school?
A. 0.06 km
B 0.50 km
c. 0.60 km
D. 1.30 km
What is the difference between 75 and 55
Answer:
C 0.60km
I hope this answer helps if you have any questions just ask
How to find the volume of the cube?
Answer:
its 125
Step-by-step explanation:
5x5x5
Answer:
Volume = [tex]length * width * height.[/tex]
Step-by-step explanation:
[tex]V=a^{3}[/tex] that is the formula
So the volume of this cube is 125 cm
can someone help having trouble solving this question
Answer:
if you pit the shape in a straight line it would be 180 degrees now take 180 take 130 and 100 and subtract those add that to the other 30 then take 180 divided by 60
Answer:
x = 50°
Step-by-step explanation:
sum of exterior angles is always equal to 360°
so, we can add all the given numbers and set them equal to 360° to find x:
130° + 30° + 100° + x° + x° = 360°
260° + 2x = 360°
2x = 100°
x = 50°
Which pairs of numbers are opposites? Check all that
apply.
0-6 and -6
0-2 and 2
4 and 4
O 8 and -8
10 and 0
Ur welcome
Answer:
–2 and 2 8 and –8 Which pairs of numbers are opposites? Check all that apply.
–6 and –6
–2 and 2
4 and 4
8 and –8
10 and 0
Step-by-step explanation:
A wooden wagon wheel has 12 equally spaced spokes radiating from the central hub.
Answer: 12 INCHES
Step-by-step explanation:
PLS HELP AND ANSWER QUICK PLZ
Answer:
∠CDE = 76
Explanation:
1) Find ∠CED
- 180 - 116 = 64
2) Find y
- 4y + 7y + 6 + 64 = 180
- 11y + 70 = 180
- 11y = 110
- y = 10
3) Substitute 10 for y
- 7y + 6
- 7(10) + 6
- 70 + 6
= 76
Which of the following are possible measures for the angle shown? Select all that apply.
Answer:
-510 degrees and -210 degrees :)
Step-by-step explanation:
An angle is a figure created by two rays. The measure of the angle can be written as 150° or -210°.
What is an angle?An angle is a figure created by two rays, known as the sides of the angle, that have a common terminus, known as the vertex of the angle. Angles created by two rays lie in the plane containing the beams.
The measure of the angle measured from the positive x-axis in an anticlockwise direction will be,
[tex]\theta = 180^o-30^o = 150^o\\\\[/tex]
The measure of the angle measured from the positive x-axis in clockwise direction will be,
[tex]\theta = 180^o+30^o = -210^o[/tex]
Hence, the measure of the angle can be written as 150° or -210°.
Learn more about Angle:
https://brainly.com/question/13954458
#SPJ2
Need Help Geometry Question I will give brainliest
Answer:
if u just scan that with photo math it will give u answer and explanation :) hope that helped i am sorry i don't know the anwswer
Step-by-step explanation:
[tex] \binom{ \sin( \alpha) + \sin( 2alpha ) }{1 + \cos( \alpha ) + \cos(2 \alpha ) } = \tan( \alpha ) [/tex]
I see you use the TeX command "\binom" for binomial coefficient, but I think you meant to use "\frac" to write a fraction, namely,
[tex]\dfrac{\sin(\alpha)+\sin(2\alpha)}{1+\cos(\alpha)+\cos(2\alpha)}=\tan(\alpha)[/tex]
and I assume you're supposed to establish an identity.
Recall the double angle identities for cos and sin :
cos(2α) = cos²(α) - sin²(α) = 2 cos²(α) - 1
sin(2α) = 2 sin(α) cos(α)
Now expand the left side as
(sin(α) + sin(2α)) / (1 + cos(α) + cos(2α)) = (sin(α) + 2 sin(α) cos(α)) / (1 + cos(α) + 2 cos²(α) - 1)
Factor sin(α) from the numerator, and after canceling the 1s in the denominator and factor cos(α) :
… = [sin(α) (1 + 2 cos(α))] / [cos(α) (1 + 2 cos(α))]
Cancel the factors of 1 + 2 cos(α) :
… = sin(α) / cos(α)
which is equivalent to
… = tan(α)
by definition of tan.
What is the solution to the system of equations
Y=x+6
Y= -0.5x+3
Answer:
[tex]y = 4 \\ x = - 2[/tex]
ILL GIVE YOU BRAINLIEST PLEASE ANSWER
Answer:
376.9 ft²
Step-by-step explanation:
There you go the right answer
12 points and brainliest pls and thank you ! (no unknown links or ill report u and ur whole acc)
Answer:
13
cuz one of those square part = to 90 degrease
so 77 degrease is already shown so minus 90-77
and u get 14
Answer:
x = 13°
Step-by-step explanation:
Angles 77° and BGE are vertical and thus equal angles. Angle x and BGE are complementary angles; thus, x + 77° = 90°. Solving this for x, we get:
x = 13°
PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
81 sq.metreStep-by-step explanation:
So this shape is made up two geometrical shapes - Triangle and a Rectangle.
So we have to find the area of Rectangle and Triangle
Area of Rectangle =
[tex]l \times b[/tex]
If we apply this to the given diagram we get,
[tex]10 \times 6 \\ = 60[/tex]
Now we have to find the area of Triangle
Area of Triangle =
[tex] \frac{1}{2} \times b \times h[/tex]
If we apply this to the given diagram we get,
[tex] \frac{1}{2} \times 7 \times 6 \\ = \frac{1}{2} \times 42 \\ = 21[/tex]
So the total area of the given figure is 60 + 21 which is equal to 81 sq.metre
Answer:
[tex]81m^{2}[/tex]
Step-by-step explanation:
Area of rectangle =Length × Width
so Area of rectangle = 10 × 6=60[tex]m^{2}[/tex]
The base of triangle equals to the width of rectangle so,
Area of triangle =[tex]\frac{1}{2}[/tex]×7×6=21[tex]m^{2}[/tex]
Then add the two areas together so , 60+21=81[tex]m^{2}[/tex]
Because it's two shapes
Need help 15 points pls help me
5 1/2 feet is the base of window.
Answer:
area of parllelogram =base×height
25 2/3=base×4 2/3
77/3=base×14/3
77/3×3/14=base
base=77/14=11/2=5 1/2feet
2 ( x - 10) + 1 = 60
Answer:
x = 39.5
Step-by-step explanation:
2(x-10) = 59
x - 10 = 29.5
x = 39.5
Answer:
x=39.5 or 79/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
If we use 3 eggs in a 15 cm mold-
How many eggs do we use in a 25 cm mold?
what is the surface area of this square pyramid with a base length of 4 centimeters and slant height of 9 centimeters? HELP PLEASE!!!!
Answer:
The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base
The slant height is 8 cm
The base perimeter is 4 * 5 cm = 20 cm
The area of the base is 5 cm * 5 cm = 25 cm**2
Plugging into the formula the area =
1/2 * 8 cm * 20 cm + 25 cm**2 =
4 cm * 20 cm + 25 cm**2 =
80 cm**2 + 25 cm**2 = 105 cm**2
The Surface Area of Pyramid is 105 cm².
What is Surface Area of Pyramid?If “P” is the base perimeter, “l” is the slant height, and “B” is the base area, then the total surface area of the regular pyramid formula is given by (½)Pl + B Square units.
Given:
slant height, l= 8 cm
So, the base Perimeter = 4 x 5
= 20 cm
Now, area of the base = 5 cm x 5 cm
= 25 cm²
Then, surface area of a square pyramid
= 1/2 x slant height x base perimeter + area of base
= 1/2 x 8 x 20 + 25
= 80 + 25
= 105 cm²
Hence, the Surface Area is 105 cm².
Learn more about Surface area of Pyramid here:
https://brainly.com/question/1503383
#SPJ2
PLEASE HELP I WILL MARK YOU BRAINIEST!!
1. Observa el siguiente conjunto de enteros (-1,0, 1)
A. ¿Cuál de las propiedades de los números reales son verdaderas
para el conjunto?
Answer:
no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas
Step-by-step explanation:
i will give a crown if you are the first one to answer and if you get it right and if you just get it right then i will i give you a full star rating and a thanks
Prism or pyramid pleaseeeeeeeee helpp
Answer:
Prism
Step-by-step explanation:
Please help me it’s a Friday and my cousin birthday tomorrow and if I don’t finish I can’t go. (NO LINKS) need explanation. (EXPLAIN) and no lying.
Answer:
D. 0-69
Step-by-step explanation:
I'm not quite 100% sure but I believe it is D. This is because the spread means the range, and the range is the lowest value to between the highest value so it makes sense that the spread is 0-69
apologize of its wrong
Please help worth 10 points
Answer:
JK, NK
Step-by-step explanation:
both start at a point and extend through an arrow
Helps, is it 64 111 or 90?
Answer:
111
Step-by-step explanation:
Draw four more rectangles with areas equal to 24cm².