Answer:
a) P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) = 0,7120 or 71,2 %
c) P(C) = 0,2055 or P(C) = 20,55 %
Step-by-step explanation:
We will use two concepts in solving this problem.
1.- The probability of an event (A) is for definition:
P(A) = Number of favorable events/ Total number of events FE/TE
2.- If A and B are complementary events ( the sum of them is equal to 1) then:
P(A) = 1 - P(B)
a) The total number of events is:
C ( 24,4) = 24! / 4! ( 24 - 4 )! ⇒ C ( 24,4) = 24! / 4! * 20!
C ( 24,4) = 24*23*22*21*20! / 4! * 20!
C ( 24,4) = 24*23*22*21/4*3*2
C ( 24,4) = 24*23*22*21/4*3*2 ⇒ C ( 24,4) = 10626
TE = 10626
Splitting the group of tanks in two 6 with h-v and 24-6 (18) without h-v
we get that total number of favorable events is the product of:
FE = 6* C ( 18, 3) = 6 * 18! / 3!*15! = 18*17*16*15!/15!
FE = 4896
Then P(A) ( 1 tank in the sample contains h-v material is:
P(A) = 4896/10626
P(A) = 0,4607 or P(A) = 46,07 %
b) P(B) will be the probability of at least 1 tank contains h-v
P(B) = 1 - P ( no one tank with h-v)
Again Total number of events is 10626
The total number of favorable events for the ocurrence of P is C (18,4)
FE = C (18,4) = 18! / 14!*4! = 18*17*16*15*14!/14!*4!
FE = 18*17*16*15/4*3*2 = 3060
Then P = 3060/10626
P = 0,2879
And the probability we are looking for is
P(B) = 1 - 0,2879
P(B) = 0,7120 or 71,2 %
c) We call P(C) the probability of finding exactly 1 tank with h-v and t-i
having 4 with t-i tanks is:
reasoning the same way but now having 4 with t-i (impurities) number of favorable events is:
FE = 6*4* C(14,2) = 24 * 14!/12!*2!
FE = 24* 14*13*12! / 12!*2
FE = 24*14*13/2 ⇒ FE = 2184
And again as the TE = 10626
P(C) = 2184/ 10626
P(C) = 0,2055 or P(C) = 20,55 %
Gabi has 7 bags of apples with x apples each. a. Write an expression to represent the total number of apples.
Answer:
7x
Step-by-step explanation:
Tamara has $30,000, part or all of which she wants to invest into a combination of corporate bonds and municipal bonds. She wants to invest no less than $8,000 into corporate bonds, and at least three times as much into corporate bonds than into municipal bonds. Let x be the amount invested in corporate bonds, and let y be the amount invested in municipal bonds. Which system of inequalities describes Tamara’s investment options?
Answer:
The system of inequalities describes Tamara’s investment options are as follows:
[tex]8000\leq x[/tex]
[tex]3y\leq x[/tex]
Step-by-step explanation:
Total amount with Tamara = $30,000
Let [tex]x[/tex] be the amount invested in corporate bonds, and let [tex]y[/tex] be the amount invested in municipal bonds.
She wants to invest no less than $8,000 into corporate bonds.
So, the inequality is [tex]8000\leq x[/tex]
Also, she wants to invest at least three times as much into corporate bonds than into municipal bonds.
[tex]3y\leq x[/tex]
The system of inequalities describes Tamara’s investment options are as follows:
[tex]8000\leq x[/tex]
[tex]3y\leq x[/tex]
A sports arena is in the shape of a rectangle. The arena has a length of (x − 3) feet and a width of (2x + 4) feet. Which of the following represents the area of the arena?
Answer:
2x² - 2x - 12
(x-3)(2x + 4)
expand brackets:
2x² + 4x - 6x - 12
then simplify:
2x² - 2x - 12
hope this helps
brainliest please?
x
Answer:
2x² - 2x - 12 Step-by-step explanation:
find the equation of this line
simplify the fractions
Answer:
top dot 1 1/4
bottom dot -1 1/2
Step-by-step explanation:
See I'm not sure if it was those dots on the picture
What is −5/6÷9/10? DO YOU LIKE CHEESE?
−27/25
−4/3
−25/27
−3/4
Answer:
− 25 /27
Step-by-step explanation:
Answer:
-25/27
Step-by-step explanation:
get fraction calculator plus very helpful on Android and Apple
How many baby elephants were weighed?
Please help as soon as possible.
Answer:
just remember that each baby elephant weight 3/8 of a ton
and all together weight 3/4 of a ton
so how many baby elephants will be ,let be x a unknown number of them
so
x*(3/8) =3/4
because multiplying the number of baby elephants with their body weight gives the total weight of all baby elephants.
so
x=(3/4)*(8/4)=2
the number of baby elephants is 2
3 less than one fourth of a number
Answer:
one fourth a number minus three
¼x-3
The graph of the SLOPES of the red function has which color?
Answer: Orange.
Step-by-step explanation:
The graph of the slopes of the red function is equal to the derivate of the red function.
First, let's analyze the red function (from left to right).
First we can see that the red function is positive, and it decreases (so we must have a negative slope here).
Then we can see a little inflection point where the red function seems to be constant for a bit (here the slope must become zero for a little bit).
Then the red function keeps decreasing (so the slope is negative again).
Then the graph of the slope is:
Negative, then it increases to zero, and it decreases again.
The only graph that does this is the orange one, so the answer is orange.
Describe two different ways to use transformations to change f(x) = x into g(x)=-3x-12
Answer:
See below
Step-by-step explanation:
GivenFunction f(x) = xTransformation ways1. Reflection by a factor of (-3) and vertical shift down -12 units
f(x) = x → (-3) ⇒ h(x) = -3x → (-12) ⇒ g(x) = -3x - 122. Vertical shift up by 4 units and reflection by a factor of (-3)
f(x) = x → (+4) ⇒ h(x) = x + 4 → (-3) ⇒ g(x) = -3x - 12On Saturday, 15,598 people attended a music festival. How does the value represented by the 5 in the hundreds place compare with the value of the 5 in the thousands place? A:The value in the hundreds place is 10 times as much as the value in the thousands place. B:The value in the hundreds place is one-tenth as much as the value in the thousands place. C:The value in the hundreds place is 100 times as much as the value in the thousands place.D: The value in the hundreds place is one one-hundredth as much as the value in the thousands place.
Answer:
B
Step-by-step explanation:
5 in the hundreds place equals 500, but put in the thousands place equals 5,000 and that's 10 times larger than 500. Or as how answer B puts it, 500 is one-tenth as much as 5,000. Either way, it's the same thing
Is the answer True or false
Answer:
true
Step-by-step explanation:
true
Simplify (-8a-5a-10c)-(2a+10b+20c)
Answer:
-15a-10b-30c
Step-by-step explanation:
(-8a-5a-10c)-(2a+10b+20c)
(-13a-10c)-(2a+10b+20c)
(-13a-10c)-2a-10b-20c
-15a-10b-30c
Answer:
-15a-30c-10b
Step-by-step explanation:
(-8a-5a-10c)-(2a+10b+20c)
(-13a-10c)-2a-10b-20c
-13a-10c-2a-10b-20c
-15a-30c-10b
please hurry i need these fast
Answer:
Is option 1 hope this helps
what is the answer? pls help
Answer:
Undefined
Step-by-step explanation:
The x value is always 5 so the slope is undefined
Answer:
The slope of the line is undefined.
Step-by-step explanation:
To solve this problem, we should use the formula for slope, which is given below:
m = slope = (y2-y1)/(x2-x1)
If we plug in two of the points that are given in the table, we get:
m = slope = (6-3)/(5-5)
If we perform the subtraction in the parentheses in both the numerator and the denominator, we get:
slope = 3/0
Since we cannot divide by 0, this means the slope is undefined.
Hope this helps!
-3/5 divided by -1 1/10
Answer:
o.54545454545
Step-by-step explanation:
On calculater showed this answer
Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (10,5), (-8, 9)
Line 2: (2, - 4), (11, - 6)
The slope of line 1 is.
The slope of line 2 is.
The two lines are...
use
[tex]y - y_{1} = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \times (x_{2} - x_{1})[/tex]
slope is
[tex]m = \frac{ y_{2} - y_{1}}{x_{2} - x_{1}} \\[/tex]
[tex]if \: \: m_{1} = m_{2} \: \: lines \: are \: parallel \\ [/tex]
[tex]if\:m_{1} = - \frac{1}{m_{2}} \\ lines \: are \: perpendicular \: to \: each \: other[/tex]
Parallel lines have the same slope
The slope of line 1 is -2/9The slope of line 2 is -2/9The two lines are parallelThe slope of a line is calculated as:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]
The slope of line 1 is:
[tex]\mathbf{m_1 = \frac{9 - 5}{-8 - 10}}[/tex]
[tex]\mathbf{m_1 = \frac{4}{-18}}[/tex]
[tex]\mathbf{m_1 = -\frac{2}{9}}[/tex]
Hence, the slope of line 1 is -2/9
The slope of line 2 is:
[tex]\mathbf{m_2 = \frac{-6 - -4}{11 - 2}}[/tex]
[tex]\mathbf{m_2 = \frac{-2}{9}}[/tex]
[tex]\mathbf{m_2 = -\frac{2}{9}}[/tex]
Hence, the slope of line 2 is -2/9
The lines have the same slope.
Hence, the two lines are parallel
Read more about slopes of lines at:
https://brainly.com/question/16114771
What is the quotient of 3.496x10^9 x 3.8 x 10^5 In scientific nation ? Please help
3496000000
380000
2Step-by-step explanation:
what's 2 + 1 ? this thing is making me type 20 words
Answer:
3
Step-by-step explanation:
Answer:
I'm pretty sure the answer is 3
Step-by-step explanation:
I typed it into my calculator and it came back as 3 so...
Solve the equation for x
Answer:
There is no answer for x
Step-by-step explanation:
I feel nice today, Here is 100 points
Answer:
oh well thanks
Step-by-step explanation:
-2.30 as a fraction....
Answer:
Step-by-step explanation:
3 5/7
Answer: 23/10 or 2 3/10
Step-by-step explanation:
I used a calculator
Write an arithmetic sequence that has a common difference of -3 and whose
fourth term is 17. *
Your answer
Answer:
You can put this solution on YOUR website! Write the next term in the sequence. Then write a rule for the nth term. -5, 10, -15, 20,
Step-by-step explanation:
If it weren't for the signs, we won't be able to get through it
-2(3h-1)=5(2h-3) has how many solutions are there
Answer:
1 solution
Step-by-step explanation:
-2(3h - 1) =5(2h - 3)
-6h + 2 = 10h - 15
-16h = -17
h = 17/16
Answer: 1 solution
Only right answers get five stars and a thanks.
Answer:
y = 5/4x + 9
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
m = 5/4
Random point (-8, -1)
y = 5/4x + b
Step 2: Find y-intercept b
-1 = 5/4(-8) + b
-1 = -10 + b
b = 9
Step 3: Write linear equation
y = 5/4x + 9
find the value of each missing variable? y=
Answer:
The symbol stands for an unknown number, the symbol y stands for an unknown number and the symbol 2 stands for a known number, two. In algebra when two symbols that stand for a number are placed beside each other the operation between them is taken to be multiplication.
Step-by-step explanation:
5(x-6)+3x=.75(2x-8)
solve.
Answer:
Step-by-step explanation:
5(x-6)+3x=.75(2x-8)
5x - 30 + 3x = 1.5x - 6
6.5x = 24
x = 3.7
You can tell if there a proportional relationship just by looking at an equation true or false
Answer:
True.
Step-by-step explanation:
Look at the ratio of y to x. To see if its a proportional relationship, just put a 0 for x and then proceed to solve for y.
What does (X^2)^3 equal
whats 5 divided by 10??????? sim
Answer:
0.5
Step-by-step explanation:
1. A friend lends you $400 for a week, which you agree to repay with 5% one-time interest. How much will you have to repay?
Answer
a = 200 + 0.5 (200) = $210
Step-by-step explanation: