Answer:
123.7 meters
Step-by-step explanation:
If you draw a diagram, this will be a rectangle and the line across cuts it into a right triangle, with a base of 120 and a height of 30. The need to know the length of the hypotenuse of the triangle, so we can use the pythagorean theorem.
30^2 + 120^2 = c^2
c=123.7
The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula t=2dg−−√, where g is the constant acceleration due to gravity, 9.8msec2. How many meters does an object fall in 5 seconds? Round your answer to the nearest whole number.
Answer:
d = 61.25 m
Step-by-step explanation:
The number of seconds, t it takes for an object to fall a distance of d meters can be found using the formula :
[tex]t=2\sqrt{\dfrac{d}{g}}[/tex] .....(1)
It is required to find the distance covered by ab object in 5 seconds
Solving equation (1) for d. So,
[tex]d=\dfrac{t^2g}{4}[/tex]
Putting all the values we get :
[tex]d=\dfrac{(5)^2\times 9.8}{4}\\\\d=61.25\ m[/tex]
So, the distance covered by the object is 61.25 m.
The object will fall at a distance of 122.5 meters.
What is acceleration?Acceleration is the rate of change of velocity with time, both in terms of speed and direction.
Given that, t = √(2d/g).
t = √(2d/g
t√(g/2) = √d
t²(g/2) = d
Or, d = t²(g/2)
Substitute g = 9.8 and t = 5:
d = 5²(9.8/2)
d = 122.5 meters
Hence, the object will fall at a distance of 122.5 meters.
Learn more on acceleration here:
https://brainly.com/question/12550364
#SPJ2
Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Norma got a score of 84.2; this version has a mean of 67.4 and a standard deviation of 14. Pierce got a score of 276.8; this version has a mean of 264 and a standard deviation of 16. Reyna got a score of 7.62; this version has a mean of 7.3 and a standard deviation of 0.8. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?
Answer:
Due to the higher z-score, Norma should be offered the job
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
Whoever has the higher z-score should get the job.
Norma:
Norma got a score of 84.2; this version has a mean of 67.4 and a standard deviation of 14.
This means that [tex]X = 84.2 \mu = 67.4, \sigma = 14[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{84.2 - 67.4}{14}[/tex]
[tex]Z = 1.2[/tex]
Pierce:
Pierce got a score of 276.8; this version has a mean of 264 and a standard deviation of 16.
This means that [tex]X = 276.8, \mu = 264, \sigma = 16[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{276.8 - 264}{16}[/tex]
[tex]Z = 0.8[/tex]
Reyna:
Reyna got a score of 7.62; this version has a mean of 7.3 and a standard deviation of 0.8.
This means that [tex]X = 7.62, \mu = 7.3, \sigma = 0.8[/tex]
So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.62 - 7.3}{0.8}[/tex]
[tex]Z = 0.4[/tex]
Due to the higher z-score, Norma should be offered the job
Y is directly proportional to 1/x. Write this in proportion notation.
2 points
d is proportional to e. When d is 10, e is 16. What is an equation connecting d and e
.
2.
.
I hope it helps you
The breaking strength of a rivet has a mean of 10,000 psi and a standard deviation of 714.2857 psi. What is the probability that the sample mean breaking strength for a random sample of 49 rivets is between 9,832 and 10,200?
Answer:
[tex] z= \frac{9832- 10000}{\frac{714.2857}{\sqrt{49}}}= -1.646[/tex]
[tex] z= \frac{10200- 10000}{\frac{714.2857}{\sqrt{49}}}= 1.96[/tex]
And we can use the normal standard distribution table or excel and we can find the probability with this difference:
[tex] P(-1.646 <z< 1.96) =P(z<1.96) -P(z<-1.646) =0.975-0.0499= 0.9251[/tex]
Then the probability that the sample mean breaking strength for a random sample of 49 rivets is between 9,832 and 10,200 is 0.9251
Step-by-step explanation:
For this case we have the following info given:
[tex] \mu = 10000[/tex] represent the mean
[tex] \sigma = 714.2857[/tex] represent the deviation
[tex] n = 49[/tex] represent the sample size selected
For this case since the sample size is large enough n>30 we have enough evidence to use the central llmit theorem and the distribution for the sample mena would be given by:
[tex] \bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}}) [/tex]
And we want to find the following probability:
[tex] P(9832 < \bar X< 10200)[/tex]
And we can use the z score formula given by:
[tex] z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
And if we use the z score formula for the limits given we got:
[tex] z= \frac{9832- 10000}{\frac{714.2857}{\sqrt{49}}}= -1.646[/tex]
[tex] z= \frac{10200- 10000}{\frac{714.2857}{\sqrt{49}}}= 1.96[/tex]
And we can use the normal standard distribution table or excel and we can find the probability with this difference:
[tex] P(-1.646 <z< 1.96) =P(z<1.96) -P(z<-1.646) =0.975-0.0499= 0.9251[/tex]
Then the probability that the sample mean breaking strength for a random sample of 49 rivets is between 9,832 and 10,200 is 0.9251
When writing expressions for complex numbers, what does i represent?
Answer: See below
Step-by-step explanation:
[tex]i[/tex] is an imaginary number.
[tex]i=\sqrt{-1}[/tex]
[tex]i^2=-1[/tex]
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
B. 4x² - 20x + 26
Step-by-step explanation:
→Set it up, like so:
(2x - 5)² + 1
4x² - 20x + 25 + 1
→Add like terms (25 and 1):
4x² - 20x + 26
A line has a slope of -
Which ordered pairs could be points on a line that is perpendicular to this line? Select
Which ordered pairs coul
two options
Answer:
(a) -2,0 and 2,5 and (b) 2,-1 and 10,9
Question:
The question is incomplete without the answer choice. Let's consider the following:
A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? select two options
a) -2,0 and 2,5
b) -4,5 and 4,-5
c) -3,4 and 2,0
d) 1,-1 and 6,-5
e) 2,-1 and 10,9
Step-by-step explanation:
The ordered pairs that could be points on a line that is perpendicular to this line would have same slope as that of the line.
Let's check out the slope of the options.
The line has slope = -4/5
Slope = m = (y subscript 2 -y subscript 1)/(x subscript 2 - x subscript 1)
The coordinates is in the form of (x,y)
Find attached the workings.
a) -2,0 and 2,5
m = 5/4
b) -4,5 and 4,-5
m = -5/4
c) -3,4 and 2,0
m = -4/5
d) 1,-1 and 6,-5
m = -4/5
e) 2,-1 and 10,9
m = 5/4
Two lines are perpendicular if (m subscript 1) × (m subscript 2) = -1
In other words, the slopes
of the two lines must be negative reciprocals of each other.
If 1st slope = -4/5
For the lines to be perpendicular, the slope of every other line = 5/4
2nd slope = 5/4
The ordered pairs that are points on the line perpendicular to the line:
(a) -2,0 and 2,5 and (b) 2,-1 and 10,9
Answer:AandE
Step-by-step explanation:
2.24 Exit poll: Edison Research gathered exit poll results from several sources for the Wisconsin recall election of Scott Walker. They found that 57% of the respondents voted in favor of Scott Walker. Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree, while 45% of those who voted against Scott Walker had a college degree. Suppose we randomly sampled a person who participated in the exit poll and found that he had a college degree. What is the probability that he voted in favor of Scott Walker? (please round to 4 decimal places)
Answer:
0.4929 = 49.29% probability that he voted in favor of Scott Walker
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Having a college degree.
Event B: Voting for Scott Walker.
They found that 57% of the respondents voted in favor of Scott Walker.
This means that [tex]P(B) = 0.57[/tex]
Additionally, they estimated that of those who did vote in favor for Scott Walker, 33% had a college degree
This means that [tex]P(A|B) = 0.33[/tex]
Probability of having a college degree.
33% of those who voted for Scott Walker(57%).
45% of those who voted against Scott Walker(100 - 57 = 43%). So
[tex]P(A) = 0.33*0.57 + 0.45*0.43 = 0.3816[/tex]
What is the probability that he voted in favor of Scott Walker?
[tex]P(B|A) = \frac{0.57*0.33}{0.3816} = 0.4929[/tex]
0.4929 = 49.29% probability that he voted in favor of Scott Walker
Write down the 1st term in the sequence given by: T(n) = n² + 3
Answer:
4
Step-by-step explanation:
T(n) = n² + 3
T(1) = 1² + 3 = 1 + 3 = 4
Help asap giving branlist!!!
Answer:
Option A.
The heartbeat has a pattern of 60 + (5 x minutes) and linear graphs are straight. The only way the linear graph is straight if there is a pattern.
Step-by-step explanation:
A tank contains 24 gallons of water when all of a sudden the water begins draining at a constant rate of 2 gallons per hour. Let t represent the number of hours since the water began draining and let v represent the volume of water in the tank.
Required:
a. Write a formula that expresses v in terms of t.
b. As t increases from 3 to 6, v varies from _________ to _________
Answer:
a) [tex]V(t) = 24 - 2t[/tex]
b) As t increases from 3 to 6, v varies from 18 gallons to 12 gallons.
Step-by-step explanation:
The volume of the tank in terms of the time can be described by the following equation:
[tex]V(t) = V(0) - at[/tex]
In which V(0) is the initial volume and a is the hourly decrease rate.
a. Write a formula that expresses v in terms of t.
The tank initially contains 24 gallons of water, which means that [tex]V(0) = 24[/tex]
Drains at a constant rate of 2 gallons per hour, so [tex]a = 2[/tex]
Then
[tex]V(t) = V(0) - at[/tex]
[tex]V(t) = 24 - 2t[/tex]
b. As t increases from 3 to 6, v varies from _________ to _________
[tex]V(t) = 24 - 2t[/tex]
[tex]V(3) = 24 - 2*3 = 18[/tex]
[tex]V(6) = 24 - 2*6 = 12[/tex]
So as t increases from 3 to 6, v varies from 18 gallons to 12 gallons.
TWO PLANES INTERSECT IN A
A. point
B. Ray
C. Line
D. Line segments
Answer:
c. line
Step-by-step explanation:
the intersection of two planes is called a line
Answer:
Hello dear,
two planes intersect and forms line
so yaa your answer is C)
Hope I helped you ;)
please thank me !!!
satsriakal ji
the distance between the earth and the moon is about 238,900 miles, round this number to the nearest ten thousand
Answer:
230,000
Step-by-step explanation:
You have round in the ten thousands space which is the 3, knowing that the next number is 8 and it is greater than 5 the 3 will round up to a 4
f(x)=x^3-3x^2-9x+4 find the intervals on which f is increasing or decreasing b. find the local maximum and minimum values of f. c. find the intervals of concavity and inflection points
Answer:
Please read the complete answer below!
Step-by-step explanation:
You have the following function:
[tex]f(x)=x^3-3x^2-9x+4[/tex] (1)
a) To find the interval on which f is increasing or decreasing, you first calculate the critical points of f(x).
You calculate the derivative f(x) respect to x:
[tex]\frac{df}{dx}=3x^2-6x-9[/tex] (2)
Next, you equal the derivative to zero, and then you find the roots of the polynomial by using the quadratic formula:
[tex]3x^2-6x-9=0\\\\x_{1,2}=\frac{-(-6)\pm\sqrt{(-6)^2-4(3)(-9)}}{2(3)}\\\\x_{1,2}=\frac{6\pm12}{6}\\\\x_1=-1\\\\x_2=3[/tex]
Then, the critical points are x=-1 and x=3
Next, you calculate df/dx for a values of x to the left and to the right of the critical points x1 and x2. If df/dx < 0 the function is decreasing, if df/dx > 0 the function is increasing.
for x = -1.01
[tex]\frac{df(-1.01)}{dx}=3(-1.01)^2-6(-1.01)-9=0.12[/tex]
Then, in the interval (-∞,-1), the function is increasing
for x = -0.99
[tex]\frac{df(-0.99)}{dx}=3(-0.99)^2-6(-0.99)-9=-0.11[/tex]
In the interval (-1,3) the function is decreasing
for x = 3.01
[tex]\frac{df(3.01)}{dx}=3(3.01)^2-6(3.01)-9=0.12[/tex]
In the interval (3,+∞) the function is increasing
b) To find the local minimum and maximum you use the second derivative of the function:
[tex]\frac{d^2f}{dx^2}=6x-6[/tex] (3)
you evaluate the second derivative for the critical points x1 and x2, if the second derivative is positive, you have a local minimum. If the second derivative is negative, you have a local maximum:
for x1 = -1
[tex]6(-1)-6=-12<0[/tex]
x=-1 is a local maximum
for x2 = 3
[tex]6(3)-6=12>0[/tex]
x=3 is a local minimum
c) upward concavity: (-1,3)
downward concavity: (-∞,-1)U(3,+∞)
The inflection points are calculated with the second derivative equal to zero:
[tex]6x-6=0\\\\x=1[/tex]
For x = 1 you have an inflection point
Captain Gabriela has a ship, the H.M.S. Khan. The ship is two furlongs from dead pirate Daniel and his merciless band of thieves.
The captain has the probability of 1/2 of hitting the pirate ship. the pirate only has one good eye, so he hits the captains ship with probability 1/5 .
If both fire cannons at the same time, what is the probability that both the pirate and the captain hit each other's chip
Answer:
[tex]\dfrac{1}{10}[/tex]
Step-by-step explanation:
Probability of the captain hitting the pirate ship [tex]=\dfrac{1}{2}[/tex]
Probability of the pirate hitting the captain's ship [tex]=\dfrac{1}{5}[/tex]
If both fire cannons at the same time, the probability that both the pirate and the captain hit each other's ship
=P(Captain Hits AND Pirate Hits)
=P(Captain Hits) X P(Pirate Hits)
[tex]=\dfrac{1}{2} X \dfrac{1}{5}\\\\=\dfrac{1}{10}[/tex]
Tony rode his bicycle 3 7/10 miles to school. What is this distance written as a decimal?
Answer:
7/10=0.7
3+0.7=3.7
3.7
Hope this helps
Step-by-step explanation:
The sales tax in Pennsylvania is 4%. If the tax on an item is $94, find the cost of the item
Answer:
$2350
Step-by-step explanation:
If 94 is 4%, multiply it by 25 to get $2350, or 100%
the cost of the item is $ 2350.
To find the cost of the item, we can set up an equation using the information given.
Let's denote the cost of the item as $ x.
According to the given information, the sales tax on the item is 4 % and is equal to $ 94. We can express this as:
0.04 x = 94
To solve for x, we divide both sides of the equation by 0.04:
x = tax on item / sales tax
x = 94 / 0.04
x = 2350
Therefore, the cost of the item is $ 2350.
Learn more about Sales Tax here
https://brainly.com/question/27608389
#SPJ2
Please help. I’ll mark you as brainliest if correct!
Answer:
g(x)= 1/4 |x-2| + 1
Step-by-step explanation:
line:
g(x)points on same line:
(2, 1) and (6, 2)slope based on the points
m= (2-1)/(6-2)= 1/4And the line is moved to the right by 2 units:
So the function becomes:
g(x)= 1/4|x-2|Considering movement up by 1 unit as well:
g(x)= 1/4 |x-2| + 1This is the final of equation for the line.
The Sunshine Droogs are unhappy as they have not yet been paid for their concert. It was agreed they would be paid eleven thousand, four hundred and fifty three pounds for the concert. What is this amount in numbers?
Answer:
11453
Step-by-step explanation:
If a tank holds 4500 gallons of water, which drains from the bottom of the tank in 50 minutes, then Toricelli's Law gives the volume V of water remaining in the tank after t minutes as V = 4500 1 − 1 50 t 2 0≤ t ≤ 50. Find the rate at which water is draining from the tank after the following amounts of time.a) 5 min 855 x gal/min b) 10 min 160 x gal/min c) 20 min 120 x gal/min d) 50 min gal/min
Answer:
a) at 5 minutes: 162 gal/min
b) at 10 minutes: 144 gal/min
c) at 20 minutes: 108 gal/min
d) at 50 minutes: 0 gal/min
Step-by-step explanation:
Considering the formula given by the volume of water remaining in the tank:
[tex]V(t)=4500\,(1-\frac{1}{50} \,t)^2[/tex]we can find the rate of water draining from the tank, (that is change in volume divided elapsed time) with the derivative of the function at the different times. Notice that this function has a decaying curvature (see attached image) of volume as a function of time, and the idea is therefore to find the slope of the tangent line at the different requested times.
So we first calculate the derivative of this function at any time 't":
[tex]V(t)=4500\,(1-\frac{1}{50} \,t)^2\\V'(t)=9000\,(1-\frac{1}{50} \,t)\,(-\frac{1}{50})\\V'(t)=-180(1-\frac{1}{50} \,t)\\V'(t)=-180+3.6\,t[/tex]
And now we estimate this derivative at the different requested points for time values:
a) at 5 minutes: [tex]V'(5)=-180+3.6\,(5) = -162\,\,gal/min[/tex]
b) at 10 minutes: [tex]V'(10)=-180+3.6\,(10) = -144\,\,gal/min[/tex]
c) at 20 minutes: [tex]V'(20)=-180+3.6\,(20) = -108\,\,gal/min[/tex]
d) at 50 minutes: [tex]V'(50)=-180+3.6\,(50) = 0\,\,gal/min[/tex]
All the negative signs preceding indicate that the remaining volume in the tank is reducing as time goes by, so the volume at which the water is draining is actually the absolute value of those numbers.
Suppose that a random number generator randomly generates a number from 1 to 65. Once a specific number is generated, the generator will not select that number again until it is reset. If a person uses the random number generator 65 times in a row without resetting, how many different ways can the numbers be generated?
Answer:
65!
65! = 8. 2547650592 * 10^ 90 approximately
Step-by-step explanation:
A random number generator randomly generates a number from 1 to 65.
Once a specific number is generated, the generator will not select that number again until it is reset.
The number of ways it can be used is = 65!
65! = 8. 25476505* 10^ 90 approximately
A gun mass of 5 kg fired a bullet of mass 10 g with the velocity of 360 km/h. What
is gun’s velocity of pushing behind?
answer fast please
Answer:
The recoil velocity of the gun is [tex]0.72\,\,\frac{km}{h}[/tex] and is pointing in opposite direction to the velocity of the bullet.
Step-by-step explanation:
Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).
We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg
In mathematical terms, we have:
[tex]5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}[/tex]
Solve the equation. 3= x/3.3 what is x=
Answer:
9.9
Step-by-step explanation:
remember your distribution rules.
x/3.3=3 make sure x is by itself. so take 3*3.3
When you have x divided by a number equaling a number take the number it equals to and multiply by the number that x is being divided by.
3=x/3.3
move 3.3 by multiplying it by 3 which gives you 9.9.
The solution of x in equation 3 = x / 3.3 is,
⇒ x = 9.9
We have to given that;
Expression is,
⇒3 = x / 3.3
Now, We can simplify the equation for x as;
⇒ 3 = x / 3.3
Multiply by 3.3 both side,
⇒ 3 × 3.3 = x
⇒ 9.9 = x
⇒ x = 9.9
Thus, Solution is,
⇒ x = 9.9
Learn more about the equation visit:
brainly.com/question/28871326
#SPJ6
334% of what number is 33,400
Answer:
10000
Step-by-step explanation:
3.34x=33400
x=10000
The number is x=10000.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
let, the number = x
now, we get,
3.34x=33400
x=10000
Hence, The number is x=10000.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ2
need answers to 34 35 and 36
Answer:
34) 75
35) 60
36) 210
Step-by-step explanation:
34) Area of a rectangle:
L x B
= 15 x 5
= 75
35) Area of a trapezium :
½ h (sum of || sides)
= ½ x 6 x (12+8)
= 3 x 20
= 60
36) Area of a regular hexagon:
3BH
= 3 x 7 x 10
210
Hope it helps....
Answer:
Step-by-step explanation:
35. 75
area of rectangle : A = b x h
= 15 X 5
= 75
36. 60
area of trapezoid : A = (b1 + b2) x h
2
= (8+12) x 6
2
= 60
37. 210
area of regular polygon : A = P x a (P no. of sides) (a is apothem)
2
= (6 x 10) x 7
2
= 210
Angelina read 30% of her book containing 360 pages. How many pages has she read so far
Answer:
360 x 30% = answer
30% = 30/100 = 0.3
360 x 0.3 = 108
108 is the answer
Hope this helps
Step-by-step explanation:
Answer:
108 pages
Step-by-step explanation:
30% of 360=108
360*.30=108
Solve for w: 2w<9+5w
Answer:
w > -3
Step-by-step explanation:
2w<9+5w
Subtract 5w from each side
2w-5w<9+5w-5w
-3w <9
Divide each side by -3 remembering to flip the inequality
-3w/-3 > 9/-3
w > -3
Answer:
w>-3
Step-by-step explanation:
Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x − 3 = 0. (Round your answer to four decimal places.) x2 =?
Answer:
[tex]x_{2} = 0.0000[/tex]
Step-by-step explanation:
The formula for the Newton's method is:
[tex]x_{i+1} = x_{i} + \frac{f(x_{i})}{f'(x_{i})}[/tex]
Where [tex]f' (x_{i})[/tex] is the first derivative of the function evaluated in [tex]x_{i}[/tex].
[tex]x_{i+1} = x_{i} + \frac{x_{i}^{4}-x_{i}-3}{4\cdot x_{i}^{3}-1}[/tex]
Lastly, the value of [tex]x_{2}[/tex] is determined by replacing [tex]x_{1}[/tex] with its numerical value:
[tex]x_{2} = x_{1} + \frac{x_{1}^{4}-x_{1}-3}{4\cdot x_{1}^{3}-1}[/tex]
[tex]x_{2} = 1.0000 + \frac{1.0000^{4}-1.0000-3}{4\cdot (1.0000)^{3}-1}[/tex]
[tex]x_{2} = 0.0000[/tex]
There are 15 marbles in a bag; 10 are blue, 4 are red and 1 is green. Marbles are drawn and NOT replaced 8 times, with the number of red marbles being recorded. What is the probability of getting exactly 3 red marbles? (Write as a percentage, correct to two decimals. eg: 12.34%)
Answer: There is a 0.88% chance of pulling three red marbles in a row.
Step-by-step explanation:
First pull = 4/15 (26.67%)
second pull = 3/14 (21.43%)
Third pull = 2/13 (15.38%)
You need to multiply these three fractions to get the probability of pulling three reds in a row, doing that will get you 4/455 or 0.88%
The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that
Answer:
A)1/18
B)1/6
C)13/18
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW,
The chess clubs of two schools consist of, respectively, 8 and 9 players. Four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that (a) Rebecca and Elise will be paired? (b) Rebecca and Elise will be chosen to represent their schools but will not play each other? (c) either Rebecca or Elise will be chosen to represent her school?
CHECK THE ATTACHMENT'S FOR STEP BY STEP EXPLANATION
