The probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typically run in a year is as follows. x 0 1 2 3 p(x) 0.76 0.15 0.05 (a) Fill in the missing probability. x 0 1 2 3 p(x) 0.76 0.15 0.05 (b) What is the mean of this discrete random variable
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:
[tex]P(X = 0) = 0.76[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.05[/tex]
[tex]P(X = 3) = x[/tex]
Item a:
The sum of all the probabilities has to be 1, that is:
[tex]\sum_{i = 0}^{3} P(X = i) = 1[/tex]
Thus:
[tex]0.76 + 0.15 + 0.05 + x = 1[/tex]
[tex]0.96 + x = 1[/tex]
[tex]x = 0.04[/tex]
The missing value is 0.04.
Item b:
The mean is given by the sum of each outcome multiplied by it's probability, thus:
[tex]E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37[/tex]
The mean is of 0.37.
A similar problem is given at https://brainly.com/question/20709747
According to the Rational Root Theorem, which statement about f(x)=8x3−4x2+6x+3 is true?
Group of answer choices
Any rational root of f(x) is a multiple of 8 divided by a multiple of 3.
Any rational root of f(x) is a factor of 8 divided by a factor of 3.
Any rational root of f(x) is a multiple of 3 divided by a multiple of 8.
Any rational root of f(x) is a factor of 3 divided by a factor of 8.
The rational root theorem is used to determine the possible roots of a function.
The true statement is: (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.
The function is given as:
[tex]\mathbf{f(x) = 8x^3 - 4x^2 + 6x + 3}[/tex]
The possible roots of a function
[tex]\mathbf{f(x) = qx^n + ax^{n-1} +.....+ p}[/tex]
are
[tex]\mathbf{Roots = \pm\frac{Factors\ of\ p}{Factors\ of\ q}}[/tex]
By comparison: p = 3 and q = 8
So, we have:
[tex]\mathbf{Roots = \pm\frac{Factors\ of\ 3}{Factors\ of\ 8}}[/tex]
Hence, the true option is (d) Any rational root of f(x) is a factor of 3 divided by a factor of 8.
Read more about rational root theorem at:
https://brainly.com/question/9353378
Carson has a smart phone data plan that costs $35 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by x GB?
Answer:
3 GB over: $80 x GB over: $35+$15x
Step-by-step explanation:
3 GB over is 3 times 15 plus 35, which equals 80, x GB over is x times 15 plus 35. Boom, answer.
Your welcome!
Answer:
$80
Step-by-step explanation:
90000 1000 + 7000 + 7 =
Answer:
900,008,007
Step-by-step explanation:
first add 90000,1000 +7000=900,008,000
then add 7 with 900,008,000
Answer =900,008,007
Round 171,936 to the nearest ten thousand
Answer:
Rounding = 170,000
Your answer is → 170,000
solve pls brainliest
Step-by-step explanation:
-185-2004=-2189///2189ft lower
-185+469=284
(I think I did this once)
What is
(1/2)^2- 1/2 -6
.
Answer:
-6.25 tI am not sure if this can help you but this is what I got
Plz help I need help
Answer:
The ratios are proportional ratios
Answer:
Step-by-step explanation:
The ratios are proportional
[tex]\dfrac{5}{12}=\dfrac{5*2}{12*2}=\dfrac{10}{24}[/tex]
I need the answer ASAP
Answer:
It would be 120 inches squared.
Step-by-step explanation:
12 x 8 = 96
6 x 4 = 24 / 2 = 12
12 x 2 = 24
96 + 24 = 120 inches squared
Answer: 80 in 2 cm
Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.
Joseph takes his little brother to the local frozen yogurt shop. he doesn't want his brother to spoil his dinner, so he can get no more than three ounces bought. the function consists only of the ordered pairs (0, 0.35), (1,1.35), (2,2.35) and (3,3.35) what is the domain and range of the function?
Answer:
Domain: (0,1,23)
Range: (0.35,1.35,2.35)
Step-by-step explanation: The domain is the set of all the first components of the ordered pairs, and the range is the set of all the second components of the ordered pairs.
HELP HELP EASY
Use a calculator to approximate cos 43° and round to
four decimal places.
Answer:
0.731353701619170483287543608275622403378...
Step-by-step explanation:
cos((43 π)/180)
UwU
It's verified you can trust
0.7315Is what you needed
7x3 how much???????????????????????????????????????
Answer: 21 is the answer
There are three sizes of pizza, three of crust, and ten toppings. If you Order one size, one type of crust, and one topping, how many pizza choices are there?
How many pints of blood does a person have for every 14 lbs of body weight?
Answer:
1 pint(of blood) for every 14 lbs of weight
Step-by-step explanation:
Answer:
One pint.
Step-by-step explanation:
A person has approximately one pint of blood for every 14 pounds of body weight.
Hope this helps! :D
Convert 5 over 9 into a decimal
Answer: 0.556
Step-by-step explanation:
Answer:
5/9 as a decimal is .5 repeating. I hope this helps.
Ai chỉ cách làm cho mk vs ạ
Correct answer gets brainiest
Answer:
[tex]x + 2x + a + 90 \degree = 360\degree \\ x + 2x + 132\degree + 90 \degree = 360\degree \\ 3x + 222\degree = 360\degree \\ 3x = 360\degree - 222\degree \\ 3x = 138\degree \\ x = \frac{138\degree}{3} \\ \boxed{ x = 46\degree}[/tex]
solution needed step by step
Answer:
I am doinnnng ok just wait
Answer:
Points again!!!
Step-by-step explanation:
Hey thanks
_
Write 0.34 as a fraction using the steps below.
Answer:
31/90
Step-by-step explanation:
3.1 x 10 = 31 which is the numerator
9x10 = 90 which would be the denominator
Answer:
It would be 17/50 hope that helps
The total length of two ships is 2321 feet. The difference in their lengths is 17 feet. Find the length of each ship. If a football field has a length of 100 yards, determine the length of the longer ship in terms of number of football fields.
The length of the longer ship in terms of number of football fields is;
4 football fields
Let the length of ship 1 be x
Let the length of ship 2 be y
Total length of both ships is 2321 ft
Thus;
x + y = 2321 ----(eq 1)
The difference in their lengths is 17 ft
Thus;
x - y = 17 ----(eq 2)
Add eq 1 to eq 2 to get;
2x = 2338
Thus; x = 2338/2
x = 1169 ft
Put 1169 for x in eq 1 to get;
1169 + y = 2321
y = 2321 - 1169
y = 1152 ft
Longer ship = 1169 ft long
From conversion tables;
1 ft = 1/3 yards
Thus; 1169 ft = 1169 * 1/3 = 389.67 yards
A football field has a length of 100 yards
Then number of football fields for the length of the longer ship = 389.67/100 = 3.8967 ≈ 4 football fields.
Read more at; https://brainly.com/question/21804970
530÷34= ? Write answer as a whole number and remainder.
Answer:
15 with a remainder of 20
Step-by-step explanation:
hope it helps :)
Answer:
168 and the remainder is 7
Step-by-step explanation:
if is wrong i'm sorry
Tristan is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride cost if Tristan is riding for 9 miles? How much would a taxi ride cost that is mm miles long?
Answer:
$ 16.50
y = 1.50m + 3
Step-by-step explanation:
1.50(9) + 3 = $16.50
Solve x2+12x=82 using completing the square. Answer the questions below.
Answer:
exact form : x = ± √ 118 − 6
Decimal form : x = 4.86278049 or − 16.86278049
Step-by-step explanation:
Use the formula ( b /2 ) ^2 in order to create a new term. Solve for x by using this term to complete the square.
(I'LL GIVE BRAINLIEST) Carson wanted to buy a cowboy hat that cost $49.95 (with tax) at a souvenir shop. He knew he had $18 at home already, and he could earn $10 per lawn by mowing lawns for his neighbors. He came up with the following expression to figure out how many lawns he would need to mow in order to purchase the hat: M = 10w + 18 with "w" being the number of lawns he would need to mow and "M" being the total amount of money he has.
Carson then determined he would need to mow 3 lawns by completing the follow steps:
50 = 10w + 18
32 = 10w
3.2 = w
Identify Carson's error. Explain the steps to correctly solve for how many lawns Carson needs to mow. Be sure to clearly state the correct answer.
Answer:
so Carson's problem was at the end, since the neighbors are paying 10$ PER DAY, and 3 days work would only earn him 30$ meaning at the end he would be a dollar short, technically, he needs to work exactly 3.2 days, or...
let's say he works 4 hrs a day
1 Day = 4Hr
3.2 Days = X
X = 3.2 × 4
= 12.8 Hrs
so Carson needs to work 3 days and an extra 48 Minutes
1) Eight times the difference between a number and seven, is the same as when five times
the number is increased by four. Find the number.
Tip: Go step-by-step
Let the number = x
Eight times the difference between a number and seven.. = 8(x-7)
is the same as... =
the number increased by 4.. x+4
8(x-7)=x+4
Distribute
8x-56=x+4
Subtract x from both sides
7x-56=4
Add 56 to both sides
7x=60
x=60/7
Need help with number 10
Answer:
d
Step-by-step explanation:
the answer is d, tan = (cateto opuesto / cateto adyascente)
What did James earn this pay period? (use pay stub) *
1 point
$1451.28
$1000.00
$709.74
f(x)=[tex]x^{2}[/tex]-6x+9
Answer:
x equals three by multiplicity two
Step-by-step explanation:
that's the correct answer hope it's help.
I also need help with this one.
Answer:
(0, 2)
Step-by-step explanation:
The x-coordinate is 0 because the y-intercept is where the line crosses the x-axis. The y-intercept is the number on its own in the equation (in the form y = mx + c)
Hope this helps!
-6.4x + 3.5y = 7? what is the slope
6.4/3.5, OR about 1.83
First job is to isolate the y.
3.5y=6.4x+7
Now divide both sides by 3.5 to get the equation into y=mx+b form.
That leaves a rounded equation of y=1.83x+2
In y=mx+b, the m is the slope. This means the slope of this line is 1.83, or 6.4/3.5