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
I need it asap fast and I give brainliest to a right answer.
Answer:
hiik
Step-by-step explanation:
rvnlgsudffstdrestdftuisffjhigyhoffyxhcccdfidsudjifg
A savings account has $51.75 and increases by $15 each week. The amount of money in the account isla linear function of time. Which statement best describes the rate of change and initial value of this function
Answer:
The answer is C
Step-by-step explanation:
I know this because I worked it out and I am in University
Answer:The rate of change is the money deposited per week, and the initial value is the amount of money at the start.
Step-by-step explanation:
What equation has the solution x=-12.1
Answer:
10 x + 121 =0
Step-by-step explanation:
Move all terms that don't contain x to the right side and solve
Exact Form:
x = -121/10
Decimal Form:
x = -12.1
Mixed Number Form:
x = -12 1/10
So The Equaion For x = -12.1 Is 10 x + 121 =0
Hope I helped :)
solve pls brainliest
Step-by-step explanation:
-185-2004=-2189///2189ft lower
-185+469=284
(I think I did this once)
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
clause: if 0>1 then 0>0
Step-by-step explanation:
false
0 can't he greater then any integer.
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany . Find their ages.
Emily is 4 times as old as Tiffany. In ten years time, Emily will be twice as old as Tiffany. Find their ages.
Solution:Let the age of Tiffany be x years.Then, the age of Emily = 4x years.After 10 years, the age of Tiffany will be (x+10) years.After 10 years, the age of Emily will be (4x+10) years.Therefore, by the problem
[tex]4x + 10 = 2(x + 10) \\ = 4x + 10 = 2x + 20 \\ = > 4x - 2x = 20 - 10 \\ = > 2x = 10 \\ = > x = \frac{10}{2} \\ = > x = 5[/tex]
So, Tiffany's present age = 5 years.Emily's present age = (4×5) years = 20 years.Answer:Emily's age is 20 years and Tiffany's age is 5 years.
Hope it helps!
(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
step by step explanation, please
Answer:
[tex]a=\displaystyle \frac{k}{w+v}[/tex]
Step-by-step explanation:
Hi there!
[tex]\displaystyle \frac{k}{a} =w+v[/tex]
Multiply both sides by a:
[tex]a*\displaystyle \frac{k}{a} =a(w+v)\\\\k=a(w+v)[/tex]
Divide both sides by (w+v):
[tex]\displaystyle \frac{k}{(w+v)} =\displaystyle \frac{a(w+v)}{(w+v)}\\\\\displaystyle \frac{k}{w+v} =a[/tex]
I hope this helps!
Write an equation in slope intercept form for a
line that passes through (8,-3) and has a slope
of
2/3
9514 1404 393
Answer:
y = 2/3x -25/3
Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx +b . . . . . . for slope m and y-intercept b
Solving for b gives ...
b = y -mx
Using the given values for x, y, and m, we find the intercept to be ...
b = -3 -2/3(8) = (-9 -16)/3 = -25/3
Then the equation of the line is ...
y = 2/3x -25/3
Nick will apply for a business loan for his toy company. The loan officer asked Nick to determine the
company's current value and growth for the next few years. Nick projected a steady growth rate for his
toy business.
Is Nick's model linear or exponential? How do you
know?
Year Project Value
0 $25,000.00
1 $26,250.00
2 $27,562.50
3 $28,940.63
4 $30,387.66
5 $31,907.04
PLEASE HELP ME ✔️
Answer:
Dividing the current value by the previous value ALWAYS equals 1.05.
Since the growth rate is constant, it is linear.
Step-by-step explanation:
Answer:
ExponentialStep-by-step explanation:
The relationship is linear when the rate of change is constant. It means the sequence of the dependent variable forms an arithmetic sequence.
We see the the sequence of Projected Value is not arithmetic but geometric sequence with common ratio of 1.05.
It will have equation:
y = 25000*1.05ˣThis is therefore exponential.
solve pls brainliest
Answer:
v=25.6
Step-by-step explanation:
12.8 x 2 = 25.6 therefore you can check by dividing by 2
Answer:
V=25.6
Step-by-step explanation:
[tex] \frac{v}{2} = 12.8[/tex]
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.
(12c(5th power)) x 3c(4th power)
How do we simplify this equation?
Answer:
You can combine the powers and bases to get 36c^9
Step-by-step explanation:
12*3=36
Rule of exponents= n^m*m^n is (n*m)^m+n
Hope this helps.
The measure of angle CFD is The measure of angle CDF is The measure of angle AFB is The measure of angle BFD is The measure of angle ABC is
Answer:
∠CDF = 23° , ∠CFD = 115° , ∠AFB = 115° , ∠BFD = 65° , ∠ABC = 42°
Step-by-step explanation:
m∠CDF = 180 - m∠CDE
m∠CDF = 180 - 157
m∠CDF = 23°
m∠CFD = 180 - ( m∠DCF + m∠CDF )
m∠CFD = 180 - ( 42 + 23 )
m∠CFD = 115°
m∠AFB = m∠CFD (Vertically opposite angles)
m∠AFB = 115°
m∠BFD = 180 - m∠CFD
m∠BFD = 180 - 115
m∠BFD = 65°
∠ABC
Solution 1:
m∠ABC = m∠DCF (Alternate angles)
m∠ABC = 42°
Solution 2:
In ΔAFB
m∠FAB = m∠CDF (Alternate angles)
m∠FAB = 23°
m∠ABC = 180 - ( m∠AFB + m∠FAB )
m∠ABC = 180 - ( 115 + 23 )
m∠ABC = 42°
kyle wishes to purchase a used car that has a cash price of $12,000. the installment terms include a down payment of $3,000 and 48 monthly payments of $224.
what finance charge will kyle pay?
what is the APR to the nearest half percent?
Using simple interest and the information given, it is found that:
The finance charge was of $1,752.The APR was of 0.0365 = 3.65%.The cash price of the car is of $12,000.For they payment, there is a down payment of $3,000, plus 48 payments of $224, hence, the total payment is:
[tex]P = 3000 + 48(224) = 13752[/tex]
The finance charge is the total payment subtracted by the cash price, hence:
[tex]E = 13752 - 12000 = 1752[/tex]
The amount of simple interest accrued after t years, with an APR of r and an initial value of I, is:
[tex]E = Irt[/tex]
For this problem, we have that [tex]E = 1752, I = 12000, t = \frac{48}{12} = 4[/tex], hence:
[tex]E = Irt[/tex]
[tex]1752 = 12000(4)r[/tex]
[tex]r = \frac{1752}{48000}[/tex]
[tex]r = 0.0365[/tex]
The APR was of 0.0365 = 3.65%.
A similar problem is given at https://brainly.com/question/13176347
NO LINKS!!!
Absolute Value: y = |x|
Shape:
Domain:
Range:
Locater point:
Answer:
Given function:
y = |x|An absolute value function has a shape called V- shape.
Domain: All real numbers x ∈ { -∞, +∞)
Range: All numbers greater than the y- coordinate of the vertex
y ≥ 0 or y ∈ [0, +∞)
Locator point is the vertex which is at (0, 0)
Rewrite 9 x 7 =675 using distributive property
Rewrite 6 x 4 x 5 = 120 using the commutative property
Hurry! Will reward brainliest to first person who answers!
Answer:
9(7)= 675
4·6·5= 120
Step-by-step explanation:
Hope this helps! :0
What did James earn this pay period? (use pay stub) *
1 point
$1451.28
$1000.00
$709.74
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?
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
what is 160% of 80kg
Answer:
128kg
Step-by-step explanation:
I don't know how to explain it here the answer
Answer:
128
Step-by-step explanation:
160%=1.60
1.60*80=128
7x3 how much???????????????????????????????????????
Answer: 21 is the answer
What is the value of x in the equation 3x-y = 30, when y = 15?
62663773828hfnmdmsmlap62sjdldleldlb
f
[tex]x=200[/tex]
Explanation:
Okay so we can start by substituting in [tex]y[/tex] as we know what it is already:
[tex](\frac{1}{5} )x-(\frac{2}{3} )(15)=30[/tex]
Now at this stage we could use a calculator to figure out what [tex]\frac{2}{3}[/tex] of [tex]15[/tex] are though a bit of mental math is as easy:
[tex](\frac{15}{3} )[/tex] · [tex]2=[/tex] [tex]5[/tex] · [tex]2[/tex]
okay so now we have:
[tex](\frac{1}{5} )x-10=30[/tex] add 10 to both sides to get rid of the [tex]-10[/tex]
[tex](\frac{1}{5})x=40[/tex] let's get rid of that fraction by multiplying by [tex]5[/tex]
and there's the solution for x
We can check we got this right by substituting it back into the original equation with the known y:
[tex](\frac{1}{5} )(200)-(\frac{2}{3})(15)=30[/tex]
now, and we already know what out of is so :
that means
which is ✓
Therefore we know our solution is right.
help please i will give brainliest ^^;;
Answer:
The slope for number 4 is 5/-4 and for number 6 is 4/1
Step-by-step explanation:
5/-4: slope is rise over run so you have to go up (positive) 5 and you have to go to the left (negative) so its 5/-4
4/1: again it's rise over run so you have to go up (positive) 4 and right one (positive)
Answer:
hello
are you army
who is your bias
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
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!
PLEASE HELP I WILL GIVE BRAINLIEST!!
Ella completed the following work to test the equivalence of two expressions.
2 f + 2.6. 2 (0) + 2.6. 0 + 2.6. 2.6. 3 f + 2.6. 3 (0) + 2.6. 0 + 2.6. 2.6.
Which is true about the expressions?
The expressions are equivalent because Ella got different results when she substituted zero for f.
The expressions are equivalent because Ella got the same result when she substituted zero for f.
The expressions are not equivalent because Ella would get different results when substituting different numbers for f.
The expressions are not equivalent because Ella would get the same results when substituting different numbers for f.
Answer *The expressions are not equivalent because Ella would get different results when substituting different numbers for f.
（But I'm not sure.
Answer:
the answer is b
Step-by-step explanation:
bcz when she substituted 0 for f she got the same result on both the answers
it does matter what the constant of the first term is as long as the second term remains the same ( the first constant or number is being multiplied by 0 the result will always be 0)
Write < , >, or = to make the statement true 0.333 1.03
Answer:
0.333 < 1.03
Step-by-step explanation:
1.03 is greater than 0.333.
In fraction form, 1.03 is [tex]1\frac{3}{100}[/tex].
While 0.333 is [tex]\frac{33}{100}[/tex], which is a third of 1.
Therefore, 0.333 < 1.03.