If the number of orders at a production center this month is a Geom(0.7) random variable, find the probability that we'll have at most 3 orders.
Answer: 0.973
Step-by-step explanation:
The probability mass function of geometric distribution is
[tex]f(x)=(1-p)^{x-1}p,\ \ \ x=1,2,3,...[/tex], p= probability of success on a trial.
As per given, we have
p=0.7
The probability that we'll have at most 3 orders [tex]P(X\leq3)=P(x=1)+P(x=2)+P(x=3)[/tex]
[tex]=(1-0.7)^{1-1}(0.7)+(1-0.7)^{2-1}(0.7)+(1-0.7)^{3-1}(0.7)\\\\=0.7+0.21+0.063\\\\=0.973[/tex]
hence, the required probability = 0.973
The probability that we'll have at most 3 orders will be "0.973".
According to the question,
→ [tex]x \sim Geometric (p)[/tex]
here,
p = 0.7
then,
→ [tex]P(X=x) = (1-p)^{x-1}\times p[/tex]
By putting the given values, we get
[tex]= (1-0.7)^{x-1}\times 0.7[/tex]
hence,
The probability that we'll have at most 3 orders will be:
→ [tex]P(X \leq 3)=P(X=1)+P(X=2)+P(X=3)[/tex]
[tex]=0.7+0.21+0.063[/tex]
[tex]=0.973[/tex]
Thus the above response is correct.
Learn more about probability here:
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Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 70 mph. The westbound train travels at 90 mph. How long will it take for the two trains to be 192 miles apart.
Answer:
1.2 hours
Step-by-step explanation:
Recall :
Distance = speed * time
Let the time taken = x
Creating an equation for the question :
Distance of train A + Distance of train B = 192
70 * x + 90 * x = 192
70x + 90x = 192
160x = 192
x = 192 / 160
x = 1.2
It takes 1.2 hours to be 192 miles apart.
Which graph represents the function f(x)=|x|-4?
See the graph in the attached image.
What is the smallest counting number that is divisible by 2, 4, 5, 6, and 12? express each number and your final answer as a product of primes. What do you notice?
Answer:
60
[tex]2^{2} * 3 * 5[/tex]
Step-by-step explanation:
I need some help on this math question. Please explain how you found the answer too!
Answer:
A
Step-by-step explanation:
The table represents a proportional function which has a rate of proportionality equal to 5
In fact
5:1 = 5
15 : 3 = 5
25 : 5 = 5
35 : 7 = 5
If we make 90 : 18, the result is 5, so this dates can be part of the table
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
How many foreign stamps does Malik have?
Answer:
answer in picture
c, b, d
Step-by-step explanation:
h(x)=6/(x-3), find h(5)
h(5) means the value of h(x) at x = 5. So what we have to do is to substitute x = 5 in the function.
We are given the function h(x) below:
[tex] \large{h(x) = \frac{6}{x - 3} }[/tex]
Substitute x = 5 in the equation.
[tex] \large{h(5) = \frac{6}{5 - 3} \longrightarrow \frac{6}{2} }[/tex]
Simplify in the simplest form.
[tex] \large{h(5) = \frac{3}{1} \longrightarrow 3}[/tex]
Thus h(5) is 3.
Answer
h(5) = 3Hope this helps! Let me know if you have any doubts.
what is 1 6/9 +5 9/7
[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Trong không gian Oxyz, cho a b c 2;2;0 , 2;2;0 , 2;2;2 .
Giá trị của a b c
bằng
Answer:
good question
Step-by-step explanation:
Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .
What is the length of GQ¯¯¯¯¯?
Answer:
[tex]GQ =25[/tex] --- GoTV
Step-by-step explanation:
Given
[tex]GQ = 2x + 3[/tex]
[tex]GH= 5x - 5[/tex]
Required
Find GQ
Since Q is the midpoint, then:
[tex]GH = 2 * GQ[/tex]
This gives:
[tex]5x - 5 = 2[2x+3][/tex]
Open bracket
[tex]5x - 5 = 4x+6[/tex]
Collect like terms
[tex]5x - 4x = 5+6[/tex]
[tex]x =11[/tex]
We have:
[tex]GQ =2x+3[/tex]
This gives:
[tex]GQ =2*11+3[/tex]
[tex]GQ =25[/tex]
There are 924 people in a theatre.
383 of the people are men.
356 of the people are women.
2
of the children are boys.
5
Work out how many girls are in the theatre
[tex]924 - (383 + 356 + 2 + 5 )[/tex]
Answer:
Step-by-step explanation:
total no. of people in the theatre = 924
men=383
women=356
boy children =2
doing workout 5
total=746
no. of girls= 924-746=178
Therefore, the number of girls are in the theatre are 178.
Plz help me solve this
If f(x)=2x+3 and g(x)= x^2-8find (f+g (x)
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
Use the following property above to find the value. Substitute f(x) and g(x) in.
[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]
Evaluate/Combine like terms.
[tex] \large{2x + {x}^{2} - 5}[/tex]
This step is optional but it's the best to arrange the degree.
[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]
Answer
(f+g)(x) = x²+2x-5Let me know if you have any doubts!
Find the indicated area of the sector surrounded in bold.
Answer:
75.36 yd² (≈ 75.4 yd²)
Step-by-step explanation:
GIVEN :-
Angle subtended by the arc at center of circle (θ) = 135°Radius of the circle = 8 ydTO FIND :-
Area of the sectorGENERAL FORMULAE TO BE USED IN THI QUESTION :-
Lets say there's an arc which subtends θ angle in the center of the circle & radius of the circle is 'r'.
Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]
SOLUTION :-
Area of the sector = [tex]\frac{\theta}{360} \times \pi r^2[/tex]
[tex]= \frac{135}{360} \times \pi (8)^2[/tex]
[tex]= \frac{3}{8} \times 64 \times 3.14[/tex]
[tex]= 3 \times 8 \times 3.14[/tex]
[tex]=75.36 \; yd^2[/tex]
Express the ratio below in its simplest form. 1.5 : 1
Answer:
3 :2.
Step-by-step explanation:
1.5 : 1
Multiply both numbers by 2:
i this gives 3:2
Help me i think it’s c
Answer: Graph B
=====================================================
Explanation:
Point A appears to be at (2.5, -1)
If we shift 6 units to the left, then we subtract 6 from the x coordinate. So the new x coordinate is now 2.5-6 = -3.5
If we shift 4 units up, then we add 4 to the y coordinate to go from -1 to -1+4 = 3
Overall, the point A(2.5, -1) moves to A'(-3.5, 3)
Graph B is the answer because of this. The other points B and C will follow the same pattern as point A does.
Find the largest possible rectangular area you can enclose, assuming you have 128 meters of fencing. What is the (geometric) significance of the dimensions of this largest possible enclosure?
Answer:
Step-by-step explanation:
let the length=x
width=y
P=2(x+y)=128
x+y=128/2=64
y=64-x
area A=xy=x(64-x)=64x-x²
[tex]\frac{dA}{dx} =64-2x\\\\\frac{dA}{dx} =0,gives~64-2x=0,x=32\\\frac{d^2A}{dx^2} =-2<0 ,at ~x=32[/tex]
so A or area is maximum if x=32
y=64-32=32
or it is a square of edge=32 meters.
someone please help me answer this
Answer:
77.91 units²
or
77.91 square units
Step-by-step explanation:
the area of a circle is A=pi*r²
since we only need a certain fraction, we will multiply it with 62/360
62° is the given angle. 360° would be the full circle
A = pi * 12² * 62/360
note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared
Parrot eats only ........ products
Answer:
Maybe Plants products...
Did I answer this correctly? Drag each tile to the correct box. Not all tiles will be used. Arrange the steps to solve this system of linear equations in the correct sequence.
Put the following in order:
A. Subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x.
B) Substitute the value of x in the first equation (x + y = -2) to get y = 1.
C) The solution for the system of equations is (-3, 1).
D) x = -15
E) The solution for the system of equations is (-15, 13).
F) Add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x.
G) x = -3
H) Substitute the value of x in the first equation (x + y = -2) to get y = 13.
J) Multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.
Remember that only 5 can be used.
9514 1404 393
Answer:
your 3rd step should be x = -3
Step-by-step explanation:
When you combine the equations in step 2, you get ...
5x = -15
Dividing by 5 gives the solution for x:
x = -3
This is what your Step 3 should show. This is the value that is consistent with the remaining steps.
Answer:9514 1404 393
Step-by-step explanation:
What is the area of the parallelogram below?
7 in2
14 in2
18 in2
28 in2
Answer:
14 (B)
Step-by-step explanation:
Area = L * h
L = 7 in^2
h = 2
Area = 7 * 2
Area = 14 in^2
Answer:
14
Step-by-step explanation:
Did lesson
Use the grouping method to factor this polynomial.
x^3 + 2x^2 + 12x +24
A. (x^2+6)(x+2)
B. (x^2 +2)(x+6)
C. (x^2 +2)(x+12)
D. (x^2 +12)(x+2)
Answer:
[tex]( {x}^{2} + 12)(x + 2)[/tex]
Step-by-step explanation:
[tex] {x}^{3} +2 {x}^{2} +12x+24[/tex]
[tex]( {x}^{3}+2 {x}^{2} )+12x+24[/tex]
[tex] {x}^{2} (x+2)+12(x+2)[/tex]
[tex]( {x}^{2} + 12)(x + 2)[/tex]
Hope it is helpful...The total cost of a truck rental, y, for x days, can be modeled by y=24x+39. What is the rate of change for this function?
Answer:
24 per day
Step-by-step explanation:
'x' = days, so since 24 is with x, the rate of change is 24
Element X is a radioactive isotope such that its mass decreases by 73% every
hour. If an experiment starts out with 680 grams of Element X, write a
function to represent the mass of the sample after t hours, where the rate of
change per minute can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the
percentage rate of change per minute, to the nearest hundredth of a percent.
Mi
Answer:
Step-by-step explanation:
The element decay percentage rate of change 2.22% per minute.
What is radioactive isotope?
Radioisotope, radionuclide, or radioactive nuclide, any of several species of the same chemical element with different masses whose nuclei are unstable and dissipate excess energy by spontaneously emitting radiation in the form of alpha, beta, and gamma rays.
Here, mass decreases by 73% every hour.
Weight of element X is 680 grams.
According to question,
f(t) = 680 (1 - 73%)ⁿ
f(t) = 680 (1 - 0.73)ⁿ
f(t) = 680 X 0.27ⁿ
f(t) = 680 X 0.9778ⁿ
f(t) = 680 X (1 - 0.02322)ⁿ
Thus, the element decay percentage rate of change 2.22% per minute.
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its my final, please help!!!!!!!!!!
Answer:
both apply
Step-by-step explanation:
i guessed just do it
Solve the inequality for s:
5s + 2 > 7
Answer:
Answer:
S>1
Step-by-step explanation:
5s + 2 > 7
Subtract 2 from both sides
5s>5
Divide 5 from both sides
S>1
Solution of the inequality is s>1.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.
Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.
The inequality sign must be reversed if either side is multiplied or divided by a negative number.
5s+2 > 7
Subtracting 2 on both side,
5s > 5
s>1
Therefore, the solution set of inequality is s>1.
To learn more about the inequality in mathematics;
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How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + q) / (8 + q) = 0.60
Solve for q :
3.2 + q = 0.60 (8 + q)
3.2 + q = 4.8 + 0.6q
0.4q = 1.6
q = 4
High School Dropouts
Number of Dropouts
1990
2000
Male
Female
MAMD.M.D.3: Which of the
following is true about the graph?
Answer:
There are more females dropping than males each year and that there are more females than males
A high school has 32 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 233 pounds
Answer:
[tex]\% = 11.96\%[/tex]
Step-by-step explanation:
Given
See attachment for box plot
Required
Percentage greater than or equal to 233
From the box plot, the maximum is:
[tex]Max = 244[/tex]
The minimum is:
[tex]Min = 152[/tex]
Percentage greater than 233 is calculated as:
[tex]\% = \frac{Max - 233}{Max - Min}[/tex]
[tex]\% = \frac{244 - 233}{244-152}[/tex]
[tex]\% = \frac{11}{92}[/tex]
Express as percentage
[tex]\% = \frac{11}{92}*100\%[/tex]
[tex]\% = \frac{1100}{92}\%[/tex]
[tex]\% = 11.96\%[/tex]
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
Angelo's Pizza is having a ticket raffle to raise money for new soccer uniforms.A $1 ticket gives an even chance to win one $25 gift certificate,one $15 gift certificate,or three $5 gift certificates.What is the expected profit or loss for purchasing 1 ticket if 100 total tickets are sold?
A: a gain of $0.45
B: a gain of $0.55
C: a loss of $0.55
D: a loss of $0.45
===============================================
Explanation:
Let x be the net winnings the customer gets
Saying something like x = 24 means you've walked away with $24. This occurs when you pay $1, and get $25 back in prizes, so 25-1 = 24 dollars overall.
The probability of this event occurring is 1/100 since there's only one ticket with the $25 prize
Make a table as shown below. It represents all the possible x values which are all the possible net winnings. Note how 1/100 = 0.01, 3/100 = 0.03 and 95/100 = 0.95
The third column is x*p(x) which is the product of the first two columns. Adding everything in the third column (that isn't highlighted in yellow) gets us the value -0.45 which is the expected value for the customer.
This represents a loss of $0.45, aka a loss of 45 cents. This is from the perspective of the customer.
Flipping things around, the pizza company will see this is as a gain of $0.45 or a gain of 45 cents.
----------------
Here's another way to see why this works:
The pizza company earns $100 in revenue since 100 tickets are sold for a dollar each. The company pays out 25+15+3*5 = 55 dollars in prizes overall. That means the company will make a profit of 100-55 = 45 dollars. So the average profit per ticket is 45/100 = $0.45 aka 45 cents and this is from the viewpoint of the pizza company (not the customer). The positive average profit represents a gain.
