Answer:
a)
the probability that Fischer wins the match is 0.5714
b)
p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex], d = 1, 2, 3, ........
[tex]0[/tex] otherwise
Step-by-step explanation:
Given that;
probability that Fischer wins the match, p = 4
probability that Spassky wins the match, q = 0.3
Match drawn, 1 - p - q = 1 - 0.4 - 0.3 = 0.7
(a) What is the probability that Fischer wins the match?
P( Fischer wins) = p/( p+q)
we substitute
P( Fischer wins) = 0.4 / ( 0.4 + 0.3)
P( Fischer wins) = 0.4 / 0.7
P( Fischer wins) = 0.5714
Therefore, the probability that Fischer wins the match is 0.5714
b) What is the PMF of the duration of the match?
let D represent the duration of the match
since the duration D of the match is a geometric random variable with parameter p + q,
the PMF will be;
p( D = d ) = [tex]( 1 - p - q )^{d-1[/tex] ( p + q )
= [tex]( 1 - 0.4 - 0.3 )^{d-1[/tex] ( 0.4 + 0.3 )
p( D = d ) = [tex]( 0.3 )^{d-1[/tex] ( 0.7)
that is, p( D = d ) = { [tex]( 0.3 )^{d-1[/tex] [tex](0.7)[/tex], d = 1, 2, 3, ........
[tex]0[/tex] otherwise
Can you please help
Answer:
it should be the second one
Step-by-step explanation:
.........
Answer:
B
Step-by-step explanation:
the graph of a quadratic cannot be a straight line.
xy=80 solve log x- log y=1
Question: Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
Answer:
x = 40, y = 2
Step-by-step explanation:
xy = 80.......................... Equation 1
logx-2logy = 1
logx-logy² = 1
Applying the laws of logarithm,
log(x/y²) = log10
x/y² = 10
x = 10y²......................... Equation 2
Substitute the value of x in therms of y equation 2 into equation 1
10y²(y) = 80
10y³ = 80
y³ = 8
y = [tex]\sqrt[3]{8}[/tex]
y = 2.
Substitute the value of y into equation 1
2x = 80
x = 80/2
x = 40
Therefore,
x = 40, y = 2
TIMED TEST WILL GIVE BRAINLIEST
Answer: 12?
Step-by-step explanation:
In ANOP, the measure of P=90°, PN = 95 feet, and OP = 31 feet. Find the measure
of ZO to the nearest degree.
Answer: 72
Step-by-step explanation:
Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = 3 (*sqaure root sign*) t (20 − t), [0, 20]
9514 1404 393
Answer:
maximum: 15∛5 ≈ 25.6496392002minimum: 0Step-by-step explanation:
The minimum will be found at the ends of the interval, where f(t) = 0.
The maximum is found in the middle of the interval, where f'(t) = 0.
[tex]f(t)=\sqrt[3]{t}(20-t)\\\\f'(t)=\dfrac{20-t}{3\sqrt[3]{t^2}}-\sqrt[3]{t}=\sqrt[3]{t}\left(\dfrac{4(5-t)}{3t}\right)[/tex]
This derivative is zero when the numerator is zero, at t=5. The function is a maximum at that point. The value there is ...
f(5) = (∛5)(20-5) = 15∛5
The absolute maximum on the interval is 15∛5 at t=5.
Did I get this first question right?
Answer:
no
Step-by-step explanation:
the correct answer is 56.55 inches
Step-by-step explanation:
nope. radius = 1/2D so it's 9.
2. r= 14.5
3. d= 42
4. d = 26
oceanside bike rental shop charges 18 dollars plus 9 dollars an hour for renting a bike. sam paid 63 dollars to rent a bike. how many hours did he pay to have the bike?
Answer:
5 hours
Step-by-step explanation:
sam originally paid $18 hours but then had to pay 9 every 1 hour
18+9/1=?
sam paid 63 $ in total so
63-18= 45
45/9=5
A rectangular prism has a length of 12 inches, a height of 16 inches, and a width of 20 inches. What is its volume, in cubic inches?
Please explain
add 12 with 16 by 20 it gives you 48 cubic inches
12 +16+20=48 cubic inches
Item 9
Find the surface area of the prism.
Answer: S = 2(lw + lh + wh)
Step-by-step explanation: Use this formula to find the total surface area of a prism.
Tasha needs to eat no more than 1,800 calories per day. Each scoop of ice
cream contains 100 calories. How many scoops of ice cream can Tasha eat
for dessert tonight if she already consumed 1,450 calories today?
Answer:
3.5 or 3 1/2
Step-by-step explanation:
1,800-1,450=350
She has 350 calories left to consume 1,800 in total.
There are 3.5 100 calories in 300.
The awnser will be 3.5 or 3 1/2.
She can have 3 1/2 of ice cream.
Hope this helped and you understood :) :)
Answer:
3.5[3 1/2]
Step-by-step explanation:
100 go's into 1450 3 times to make 1750 witch leaves 50 left and that is half of 100
a bag contains 4 red, 3 orange and 5 purple marbles. what is the probability of drawing 2 purple marbles in a row without replacement?
Step-by-step explanation: this one is for zack!!!!!!!!!
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 5/33
Explanation:
5/12 x 4/11 =5/33
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Write the equation of a line that
passes through the point (0, 3)
with a slope of -3.
Answer:
y= -3x + 3
Step-by-step explanation:
the point given tells you the y-int
given that y=mx + b, you can plug in the values
y= -3x + 3
GEOMETRY!!!! Will give brainliest
what is the slope of the line !?!?!
Answer:
Slope is -2
Step-by-step explanation:
a) In a simple random sample of 1000 faculty taken among all universities in a country, the number of papers published by the individual sampled faculty in the past year had a mean of 1.1 and an SD of 1.8. Does the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
Answer:
According to the Central Limit theorem, the distribution is roughly normal
Step-by-step explanation:
The Central Limit Theorem states that for sample sizes above 30 and not withstanding population distribution's shape, the sampling distribution of the sample mean becomes more similar t hat of a normal distribution as the sample size increases;
The size of the sample = 1,000 >> 30
As the sample size approaches infinity, we have;
[tex]z=\dfrac{\bar{x}-\mu }{\dfrac{S.D.}{\sqrt{n}}}[/tex]
[tex]\overline x[/tex] = 1.5
S.D. = 1.8
n = 1000
Assume μ = 1, we get;
[tex]P(x > 1.1):z=\dfrac{1.1-1 }{\dfrac{1.8}{\sqrt{1000}}} = 1.7568[/tex]
P(z > 1.7568) = 1 - 0.96080 = 0.0392
Therefore, it is very likely that the mean of the population is not larger than the sample mean
Therefore, yes, the Central Limit Theorem say that the distribution of the number of papers published by the individual sampled faculty in the past year is roughly normal
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:11
Step-by-step explanation:smart
PLS HELP (CLICK ON HERE TO SEE QUESTION)
Answer:
C
Step-by-step explanation:
the answer is C because the 2 angles are congruent, making it the same degree
hope this helps :)
Answer:
160
Step-by-step explanation:
y is the same shape and degree is 1 60 on the other side please mark brainliest
45,678 in unit form
PLEASEEEEE HELPP
Patty purchased rose bushes and geraniums for her yard. Patty spent $206 on 14
rose bushes and 12 geraniums. The price of a geranium is $5 less than twice the
cost of a rose bush. What is the cost of one rose bush?
9514 1404 393
Answer:
$7
Step-by-step explanation:
Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...
14r +12g = 206
g = 2r -5
Using the second equation to substitute for g in the first equation, we have ...
14r +12(2r -5) = 206
38r -60 = 206
38r = 266
r = 266/38 = 7
The cost of one rose bush is $7.
PLEASE HELP ME OUTTT
PLEASE ANSWER QUICK
The sum of the data values divided by the number of data values is a measure of ______ and is called the _____
FIRST BLANK'S OPTIONS = CENTER/SPREAD
SECOND BLANK'S OPTIONS = MEAN/MEAN ABSOLUTE DEVIATION/MEDIAN/RANGE
Answer:
Center... Mean
Step-by-step explanation:
The mean of a data set is the sum of the values divided by the number of values. The median of a data set is the middle value when the values are written in numerical order.
Choose the fraction that is NOT equivalent to 2/2?
A.1/1
B.2/1
C.3/3
D.4/4
Answer:
B 2/1
Step-by-step explanation:
2/2=1
3/3=1
4/4=1
and 2/1=2
You deposit $300 in an account. The account earns $54 simple interest in 4 years. What is the annual interest rate?
At the Dream Cone ice cream shop, there are
540 ways to make an ice cream sundae
consisting of one flavor of ice cream, one
topping, and one type of syrup. If there are 9
ice cream flavors and 5 types of syrup, how
many toppings are there?
Answer:
12 toppings
Step-by-step explanation:
5*9=45
540/45=12
The number of toppings in the ice cream cone are 9.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.
Let the number of toppings be x.
So, 9×5×x=540
⇒ 45x=540
⇒ x=9
Therefore, the number of toppings in the ice cream cone are 9.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Label the diagram
with
x-axis y-axis origin quadrant I quadrant II quadrant III quadrant IV
A
B
C
D
A) y-axis
B) quad lll
C) x-axis
D) quad IV
Is this the answer you were looking for?
Please Help Quickly :)
The area of the top of a rectangular coffee table, in square units, is represented by the expression: (2x-11)(2x+11). Which expression represents an equivalent area?
A.) (4x^2-121) Square units
B.) (4x^2-44x+121) Square units
C.) (4x^2 +44x-121) Square units
D.) (4x^2+121) Square units
I will gve you brainliest if it is the correct awnser and if you help me quickly
Answer:
Step-by-step explanation:
2x * 2x = 4x^2 and -11 * 11 = -121
A worker at a mill is loading 8 lb bags of flour into boxes to deliver to a local warehouse. Each box holds 5 bags of flour. If the warehouse orders 2 tons of flour how much are needed to fulfill the order?
Answer:
100 boxes i think :))
Step-by-step explanation:
find a fuction rule for the line that passes through the origin (0,0) and the point (3- 18)
Answer:
just carrie the 2 and box up rh2-4 then you would get the answer I'm smart as f
Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'
Answer:
Step-by-step explanation:
Coordinates of the vertex A → (-4, -6)
Coordinates of the vertex A' → (6, 6)
Since, y-coordinates are same opposite in notation,
Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.
And points A and A' will be equidistant from the line of reflection.
Midpoint between A and A' = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
= [tex](\frac{-4+6}{2},\frac{-6+6}{2})[/tex]
= (1, 0)
Therefore, x = 1 will be the line of reflection.
Please help!!!!!! I’ll mark Brainlyist!!!!!
Answer:
its 55
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 113.49
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆