Answer:
[tex]m = \frac{ln(xy)}{ln(y)} [/tex]
Step-by-step explanation:
divide both sides by x
simplify
apply exponent rules: mln(y)=ln(xy)
m=ln(xy)/ln(y)
In a lumberjack competition, a contestant is blindfolded and then spun around 9 times. The contestant then immediately tries to hit a single point (the target) in the middle of a horizontal log with an axe (while still blindfolded). The contestant receives
15 points if their swing is within 3cm of the target.
10 points if their swing is between 3cm and 10cm of the target.
5 points if their swing is between 10cm and 20cm of the target
zero points if their swing is further away from the target (and someone may lose a finger!).
Let Y record the position of the hit, so that Y = y > 0 corresponds to missing the target point to the right by y cm and Y = - y < 0 corresponds to missing the target to the left by y cm. Assume that Y is normally distributed with mean mu = 0 and variance 100 cm^2. Find the expected number of points that the contestant wins.
Answer:
9.364 is the expected number of points.
we can approximate this to 10 points if we want a whole number
Step-by-step explanation:
We have these variables:
[0,5,10,15]
P(x= 0) = p(y>20)+p(y<-20) = 2p(y>20)
P(x=5) = p(-20<=y<=10)+p(10<=y<=20) = 2p(10<=y<=20)
P(x=10) = p(-10<=y<=-3)+p(3<=y<=10) = 2p(3<=y<=10)
P(x=15) = p(-3<=y<=3) = 2p(0<=y<=3)
Z = y/10
Therefore
P(x= 0) = 2(y>20)
= 2p(z>2) = 2(1-p<=2)
= 2(1-0.9772)
= 0.0456
P(x= 5)
= 2p(10<=y<=20)
= 2p(1<=z<=2)
= 2(0.9772-0.8413)
= 0.2718
P(x= 10)
= 2p(3<=y<=10)
= 2p(0.3<=z<=1)
= 2(0.8413-0.6179)
= 0.4468
P(x = 15)
= P(0.6179-0.3821)
= 0.2358
To get expected value of Y
0(0.0456)+5(0.2718)+10(0.4468)+15(0.2358)
= 1.359 + 4.468 + 3.537
= 9.364
E[Y] = 9.364
m is a negative number.
Which statement is correct?
Choose only one answer.
A m + 9 is always positive
Bm + 9 is always negative
c m + 9 cannot be zero
D m + 9 could be positive or negative or zero
Answer:
D
Step-by-step explanation:
Examples
-10 +9 = -1
-8 +9 = 1
-9+9=0
start time: 2:18:09 pm elapsed time: 5 hr 34 min 27 sec end time:??
Answer:
Start time: 2:18:09 pm
End Time : 7:52:36 pm
Step-by-step explanation:
Plus these numbers
2:18:09
5:34:27
_______
2+5 = 7
18+34 = 52
09+27 = 36
7:52:36
HELP ME WITH A MATH PROBKEM Type a number that has a value less than 4.7|
Answer:
i think
all the numbers between
0 to 4.6
Hey guys can you guys help me thanks :)
Answer:
d
Step-by-step explanation:
60x9 =540
An amusement park sells 5 bottles of water for every
2 bottles of juice. In one hour, the amusement park
sells 20 bottles of water. How many bottles of juice
does the amusement park sell?
Answer:
8 bottles of juice
Answer:
8 bottles of juice
Step-by-step explanation:
if 5bottles of water = 2bottles of juices
20bottles of water =
20/5 = 4
4 * 2 = 8
Answer = 8bottles of juices
I’m stuck on this one. Can any one help me?
3, and apparently its "too short of an answer on this website"
pls hurry if you can. A What is the volume of this cube?
Question 5 options:
26.46 cm3
9.261 cm3
6.3 cm3
Answer:
9.261 cm³
Step-by-step explanation:
2.1x2.1x2.1=9.261
Answer:
9.2
Step-by-step explanation:
the answer is 9.2 yo multiplu 2.1x2.1x2.1
Please help asap thanks
Answer:
x = 10 and y is 10 times the square root of 2
Step-by-step explanation:
45 45 90 triangle
x x x times square root of 2
10 10 and 10 times square root of 2
Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs.
a) Assuming the frequency of the trait is still 1 in 8, determine the mean and standard deviation of the number of frogs with the trait he should expect to find in his sample.
b) Verify that he can use a Normal model to approximate the distribution of the number of frogs with the trait.
c) He found the trait in 22 of his frogs. Do you think this proves that the trait has become more common?
Explain.
Answer:
Answered and explained below
Step-by-step explanation:
A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125
Sample size; n = 150
Formula for mean is;
μ = np
μ = 150 × 0.125
μ = 18.75
Formula for standard deviation is;
σ = √(np(1 - p))
σ = √(150 × 0.125(1 - 0.125))
σ = √16.40625
σ = 4.05
B) usually, when np ≥ 10 , we make use of normal distribution.
I'm this case, it is 18.75 which is greater than 10.
Thus,we can use a normal model to approximate the distribution.
C) we are told that he found the trait in 22 of the frogs.
Thus;
Proportion is now; 22/150 = 0.1467
This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.
An Internet company located in Southern California has season tickets to the Los Angeles Lakers basketball games. The company president always invites one of the seven vice presidents to attend games with him, and claims he selects the person to attend at random. One of the seven vice presidents has not been invited to attend any of the last four Lakers home games. What is the likelihood this could be due to chance
Answer:
0.5398
Step-by-step explanation:
Given that :
Total possible numbers vice presidents invited = 7
Required number of vice presidents invited = 1
Probability that a certain vice president is invited ;
P(a certain V. P is invited) = required outcome / Total possible outcomes
P(a certain V. P is invited) = 1/ 7
P(1 of the V. P's hasn't been invited to attend any of the last 4 games)
Then ; it means any of the remaining (7 - 1) = 6 has been invited ;
Hence,
P(1 of the V. P's hasn't been invited to attend any of the last 4 games) = ((7-1) / 7)^4
Likelihood that it could be due to chance :
(6/7)^4 = 0.5397750
= 0.5398
What is the first and second step to solving -16=2a-8
What is the solution to the problem
use the expression (8x + 2) + (-9x + 7)
a. find the sum
b. explain how you know when to combine terms with variables
1 of 8
© An object has a mass of 240 kg and a volume of 8 m3.
Find the density of the object in kg/m²
o
kg/m3
Answer: 30 kg/m³
Step-by-step explanation: density = mass / volume
Density is 240 kg / 8 m³
If John gets paid $45.00 an hour and works 10 hours, how much does he earn?
Each model below is divided into sections of equal size Which model does Not have 75% of the total area shaded
Answer:
G
f is 6/8=3/4 = 75%
h is 9/12=3/4 = 75%
I is 3/4 = 75%
so the answer is G
Triangle DIG is reflected across the l-axis.
O (x, y) --> (-x, y)
O (x, y) --> (-X, -y)
(x, y) --> (y,x)
O (x,y) --> (x,-))
helpp its for a timed assignment
there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.
IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)
This meant that for reflecting across the x axis, (x,y)->(x,-y)
For y axis its the opposite, just flipping to the side.
This meant that for reflecting across the y axis, (x,y)->(-x,y)
If 50% of a number is 70 and 80% of the same number is 112, find 30% of that number.
pls i need fast *NO LINKS*
Answer:
42
Step-by-step explanation:
It's just saying that 1/2 * x = 70, and if we multiply both sides by 2, we get
x=140.
we check if that number is true by finding 80% of 140.
4/5 * 140 = 112. So that means 140 is the number we want
30% of 140 is 3/10 * 140, which is 420/10, which is 42
If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.
Answer:
240
Step-by-step explanation:
We know that 50% of the number is 150 so we can assume the number is 300(if its 50% just double that number). Next we use the equation 0.80 x 300 which gives us the answer 240.
Hope I helped
Answer:
240
Step-by-step explanation:
50%*x=150
0.5x=150
x= 300
30%*x=90
0.3x= 90
x= 300
80%*300=
0.8*300= 240
simplify by distributive property 9-5b+5m
Answer and Step-by-step explanation:
This is as far as the expression can be simplified.
The undistributed version of the expression is:
9 -5(b - m)
#teamtrees #PAW (Plant And Water)
Answer this question and I will mark you branilist
Answer: F
Step-by-step explanation:
Will mark brainlest Thanks
Answer:
the answer is d
Step-by-step explanation:
I need to know 2, 3, and 4.
Answer:
Step-by-step explanation:
Let the equation of the line 'a' is,
y = mx + c
Here, m = slope of the line
c = y-intercept
For line 'a',
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m = [tex]\frac{10}{16}[/tex]
m = [tex]\frac{5}{8}[/tex]
y-intercept = 20
Therefore, equation of the line 'a' is,
y = [tex]\frac{5}{8}x+20[/tex]
Similarly, equation of the line 'b' is,
y = m'x + c'
Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]
m' = [tex]\frac{20}{16}[/tex]
m' = [tex]\frac{5}{4}[/tex]
y-intercept = 0
Therefore, equation of the line is 'b' is,
y = [tex]\frac{5}{4}x[/tex]
1). Line 'b' represents a proportional relationship → FALSE
2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE
3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE
4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE
Solve similar triangles (advanced)
Solve for x
x=?
Answer:
x = 1.2
Step-by-step explanation:
AD/AB = DE/BC (Similarity Theorem)
AD = 6 + 4 = 10
AB = 6
DE = 2
BC = x
Plug in the values
10/6 = 2/x
Cross multiply
10*x = 2*6
10x = 12
Divide both sides by 10
x = 12/10
x = 1.2
Does this graph represent a function? Why or why not?
Answer:
The answer is a because it does pass the verticle line test
Please Help No fake answers
Answer:
5.09 or 5.10(if u round up)
Step-by-step explanation:
When you convert √24 it will be 5.099
The decimal point must lie between 5 and 0
Hope this helps:)
Help please I give brainliest and be serious
Answer:
you add all sides then you can calculate
Given that f(x) = x2 – 5x + 6 and g(x) = x – 3, find f(x) + g(x) and express
the result in standard form.
Answer:
G(X)+f(X) = x2-6x+3
Step-by-step explanation:
simplify the expression by using the distributive property 2(3x-5)
Step-by-step explanation:
multiply the outer term to the inner term
so, 6x-10.
Hello.
Let's use the Distributive Property to simplify the given expression.
Remember, the Distributive property states that
a(b+c)=ab+ac
Now, let's simplify our expression:
2(3x-5)
6x-10
This is the simplified answer; we can't simplify it anymore.
I hope it helps.
Have an outstanding day. :)
[tex]\boxed{imperturbability}[/tex]
Help me with this please
Answer:
x = 37.5
Step-by-step explanation:
The easiest way to solve this is to realize that the bottom triangle is a an Isosceles triangle, with the upper angle being equal to 180 - 75 degrees. That gives us the number 105°
Because it's an Isosceles triangle, we can simply say that the bottom angles, including the one we want to calculate are equal and both add up 105 (again, because the angles in a triangle add up to 180, and we know the top one is 105).
That gives us:
(180 / 105) / 2
= 75 / 2
= 37.5
