Answer:
[tex](a)\ 0.0864[/tex]
[tex](b)\ 0.096[/tex]
[tex](c)\ 0.24[/tex]
[tex](d)\ 0.936[/tex]
Step-by-step explanation:
Given
[tex]p \to[/tex] close
[tex]q \to[/tex] fail to close
[tex]p = 60\%[/tex]
[tex]p = 0.60[/tex]
First, calculate the value of q
Using complement rule
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.60[/tex]
[tex]q = 0.40[/tex]
So, we have:
[tex]p = 0.60[/tex] and [tex]q = 0.40[/tex]
Solving (a): Fails to close on the 4th attempt
This means that he closes the first three attempts. The event is represented as: p p p q
So, we have:
[tex]Pr = p*p*p*q[/tex]
[tex]Pr = p^3*q[/tex]
[tex]Pr = 0.60^3*0.40[/tex]
[tex]Pr = 0.0864[/tex]
Solving (b): He closes for the first time on the 3rd attempt
This means that he fails to close the first two attempts. The event is represented as: q q p
So, we have:
[tex]Pr = q * q * p[/tex]
[tex]Pr = q^2 * p[/tex]
[tex]Pr = 0.40^2 * 0.60[/tex]
[tex]Pr = 0.096[/tex]
Solving (c): First he closes is his 2nd attempt
This means that he fails to close the first. The event is represented as: q p
So, we have:
[tex]Pr = q * p[/tex]
[tex]Pr = 0.40 * 0.60[/tex]
[tex]Pr = 0.24[/tex]
Solving (d): The first he close is one of his 3 attempts
To do this, we make use of complement rule
The event that he does not close any of his first three attempts is: q q q
The probability is:
[tex]Pr = q*q*q[/tex]
[tex]Pr = q^3[/tex]
The opposite is that the first he closes is one of the first three
So, we have:
[tex]Pr' = 1- Pr[/tex] --- complement rule
[tex]Pr' = 1- q^3[/tex]
[tex]Pr' = 1- 0.40^3[/tex]
[tex]Pr' = 1- 0.064[/tex]
[tex]Pr' = 0.936[/tex]
What are the coordinates for the angle π/4 on tge unit circle
Answer: Both x and y are [tex]\frac{\sqrt{2}}{2}[/tex] which is the same as [tex]\frac{1}{\sqrt{2}}[/tex]
In other words, the point [tex]\left( \frac{\sqrt{2}}{2}, \frac{\sqrt{2}}{2} \right)[/tex] is on the unit circle for the angle pi/4 radians. This point is equivalent to [tex]\left( \frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)[/tex]
==============================================
Explanation:
The angle pi/4 radians is equivalent to 45 degrees. Draw out a 45-45-90 triangle with hypotenuse 1, and you'll find the congruent legs are each [tex]\frac{1}{\sqrt{2}}[/tex] units long (apply the pythagorean theorem). If you apply the sine and cosine ratios, you'll get the answer shown above.
Recall that
x = cos(theta)y = sin(theta)and also
cos = adjacent/hypotenusesin = opposite/hypotenuseThe pythagorean theorem is a^2+b^2 = c^2.
Jessie has three one-gallon containers. The first one has 1/5 of a gallon of juice, the second has 1/5 gallon of juice and the third has 1/5 gallons of juice. How many total gallons of juice does Jesse have?
Need help finding constant rate of change!
Answer:
[tex]m = \frac{4}{7}\\[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The constant rate of change (m)
This is calculated as:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
From the graph, we have:
[tex](x_1,y_1) = (3,4)[/tex]
[tex](x_2,y_2) = (10,8)[/tex]
So, the formula becomes:
[tex]m = \frac{8-4}{10 - 3}[/tex]
[tex]m = \frac{4}{7}\\[/tex]
Six values on the number line above are marked with letters. Match the opposites.
At the beginning of a basketball season the Panthers won40 games out of 17 games at this rate how many games will they win in a normal 120 game season
Answer:
51
Step-by-step explanation:
The problem states "the Panthers won 40 games out of 17 games"
It is impossible to win more games than the number of games.
Perhaps the problem should state "the Panthers won 17 games out of 40 games"
If this is correct, then we can answer the question with a proportion.
17 wins is to 40 games as x wins is to 120 games
17/40 = x/120
40 * x = 17 * 120
Divide both sides by 40.
x = 17 * 3
x = 51
Answer: 51
order the times spent in order from least to greatest
a. 3/5, 0.2, 0.4
b. 0.4, 3/5, 0.2
c. 3/5, 0.4, 0.2
d. 0.2, 0.4, 3/5
Answer:0.2, 0.4, 3/5
Step-by-step explanation:
a rectangle has a height of 5x and a width of x+2 express the area of the entire retangle
Answer:
6x+2
Step-by-step explanation:
five balls, numbered 1, 2, 3, 4, 5, are placed in a bin. two balls are drawn at random without replacement. what is the probability that the sum of the numbers on the balls drawn is 7?
Answer:
15/7
Step-by-step explanation:
Add the numbers put them over 7
The probability that the sum of the numbers on the balls drawn is 7 from total 5 balls without replacement = [tex]\frac{1}{5}[/tex]
What is probability?Probability is a branch of math which deals with finding out the likelihood of the occurrence of an event. Probability measures the chance of an event occurred and is equal to the number of favorable events divided by the total number of events. The value of probability ranges between 0 and 1, where 0 denotes uncertainty and 1 denotes certainty.
According to the question
Five balls, numbered 1, 2, 3, 4, 5, are placed in a bin.
Two balls are drawn at random without replacement.
i.e
Total possibility for drawn balls without replacement = [tex]P_{r} ^{n}[/tex]
where n = 5
r = 2
[tex]P_{r} ^{n}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]
[tex]P_{2} ^{5}[/tex] = [tex]\frac{5!}{(5-2)!}[/tex]
[tex]P_{2} ^{5}[/tex] = [tex]\frac{5*4*3!}{(3)!}[/tex]
[tex]P_{2} ^{5}[/tex] = 20
Now, the probability that the sum of the numbers on the balls drawn is 7 is
(2,5) (5,2) (3,4) (4,3) = 4 possibilities in total
Therefore,
Probability = [tex]\frac{Number of favorable outcomes}{Total outcomes}[/tex]
= [tex]\frac{4}{20}[/tex]
= [tex]\frac{1}{5}[/tex]
Hence, the probability that the sum of the numbers on the balls drawn is 7 from total 5 balls without replacement = [tex]\frac{1}{5}[/tex]
To know more about probability here:
https://brainly.com/question/11234923
#SPJ2
What is the perimeter of an isosceles triangle with one side that
measures 5 ft. and two sides that measure 11 ft. each?
What is the volume of Maria's model in cubic centimeters?
a. 1,200 cu cm
b. 400 cu cm
c. 160 cu cm
d. 600 cu cm
Answer:
400 cu cm
Step-by-step explanation:
Volume = Length · width · height /3
Volume = 10 · 10 · 12 / 3
Volume = 1,200 / 3
Volume = 400 cu cm
HELP PLEASE!!! LOL PLEASE!
Answer:
thats is the answer write it yourself and learn math
Ashe and her two friends will run a relay race. The length of the race is 4/6 mile. If each person runs the same distance, how far will Ashe run?
Answer:
Ashe will run 6 miles
Step-by-step explanation:
4/6 x 3/1 = 12/6 divided by 6 (for numerator and denominator) = 6/1 = 6
Can anyone help me with this problem
9514 1404 393
Answer:
8. A = {Delaware, New Jersey, Pennsylvania}
9. |B| = 3
Step-by-step explanation:
8. Dates prior to 1 Jan 1788 are those in 1787. The three states admitted in 1787 are listed as Delaware, Pennsylvania, New Jersey. It is usually convenient to list elements of a set in lexicographical order:
A = {Delaware, New Jersey, Pennsylvania}
__
9. The months June and July appear 3 separate times on the list, so there would be 3 elements in the set B.
|B| = 3
Math Escape Level 3 plz hurry it is due to today bestie
Answer:
1
Step-by-step explanation:
x-9=-8
x=-8+9
x=1
What is the surface area? I need help help
Surface Area=2400
Step-by-step explanation:
To find the surface area we need to use this formula: Surface Area=6a^2
Where a is the side lengths that are being provided by the cube, now we plug in 20 as a into the formula.
Surface Area=6(20)^2
Surface Area=6(400)
Surface Area=2,400
Hope I helped, have a nice day :)
Answer:
2400
Step-by-step explanation:
[tex]SA = 2(lw + lh + wh) = 2(20^2 + 20^2 + 20^2) = 2(3 * 20^2) = 2(3 * 400) = 2 * 1200 = 2400[/tex]
if the height of two similar prisms have a ratio of 7:21 then the ratio of the area is.....
Answer:
1:3
Step-by-step explanation:
7:21
1:3
so , 7:21 is 1:3.
how do u find the percent of 36 and 40? Thanks!
The Pentagon's ABCDE & PQRST are similar find the length X of QR
Please help I will give 50 points and give branliest!!!!
Answer:
x = 3.2
Step-by-step explanation:
Since they are similar the ratio of the side lengths must be the same
Using the bottom side and the unknown side from the left figure and the right figure
5 4
----- = --------
4 x
Using cross products
5x = 4*4
5x = 16
Divide by 5
x = 16/5
x =3.2
What is the solution set of x^2+5x1=0?
Answer:
[tex]x=\sqrt{5}i,\:x=-\sqrt{5}i[/tex]
Evaluate the expression.
a - 7ab + b when a= 4 and b = -3
Answer:
85
Step-by-step explanation:
4 - (7 x 4 x -3) + -3
4 - (28 x -3) -3
4 - (-84) -3
88 - 3
85
A sphere p has a volume of 75 cm cube. Find the volume of a sphere whose radius is twice the radius of p
Answer:
https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate
find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).
At two digits is such that the Sum of its to digits is ten. if the digit are reversed the number formed exceed the original number by 18. Find the number
Answer:
46
Step-by-step explanation:
the number is 46
need help with trigonometry
Answer:
Step-by-step explanation:
Let us first find the hypotenuses of the right triangle.
[tex]c=\sqrt{12^2+9^2} =\sqrt{225} = 15[/tex]
[tex]sin(theta) = 12/15 = 4/5\\cos(theta) = 9/15 = 3/5\\tan(theta) = 12/9 = 4/3\\csc(theta) = sin(theta)^{-1} = 5/4\\sec(theta) = cos(theta)^{-1} = 5/3\\cot(theta) = tan(theta)^{-1} = 3/4[/tex]
- 12. What is the greatest common factor of 120 and 84?
e.
a. 3
b. 6
12
18
d.
Answer:
12 (the third one is the greatest common factor of 120 and 84)
Answer:
12
Step-by-step explanation:
factors of 120. 1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,80,120
factors of 84: 1,2,3, 4,6,7,12,14,28,42,84
greatest common factor=12
which of the following is the equation of a line that would be perpendicular to the line whose equation is y=2x-5? helppp they're for finals
A. y=-2x+4
B. y=-1/2x+4
C. y=2x+4
D. y=-1/2x+4
An earthquake strikes in an isolated area is without food or water. Three crews arrive. One can dispense needed supplies and 35 hours, a second and 70 hours, and a third in 10 hours. How long will it take all three crews working together to dispense food and water?
Answer:
115 hours.
Step-by-step explanation:
35+70=105
105+10=115 hours
What is the y-value when x = 6?
Answer:
poooop
Step-by-step explanation:
ahhh this is easy first eat pizza then poop easy
please help need to solve this fastt
Answer:
1979
91%
Step-by-step explanation:
Given the relation :
P = (318t + 6792) / (1.19t + 107.36)
P = % of household with PC
t = years since 2000
1.) We need to find t, when P = 85%
P = 0.85
0.85 = (318t + 6792) / (1.19t + 107.36)
0.85(1.19t + 107.36) = (318t + 6792)
1.0115t + 91.256 = 318t + 6792
Collect like terms :
1.0115t - 318t = 6792 - 91.256
−316.9885t = 6700.744
t = 6700.744 / - 316.9885
t = - 21.138760
t = - 21 years
2000 - 21 years = 1979
Percentage who had computer in 2014
t = 2014 - 2000 = 14
P = (318(14) + 6792) / (1.19(14)+ 107.36)
P = (4452 + 6792) / (16.66 + 107.36)
P = 11244 / 124.02
P = 90.6627
P = approximately 91%
ANSWER ASAP IM BEING TIMED
WILL GIVE BRAINLIEST IF UR CORRECT AND IF I GET AN A ILL DO A FREE POINT GIVEAWAY
Choose the correct classification of 5x + 3x4 − 7x3. (5 points)
Third degree polynomial
Fourth degree trinomial
Sixth degree polynomial
First degree binomial
Answer:
option b
Step-by-step explanation:
fourth degree trinomial
A=1/2 bh; solve for b
I need help anyone help me with this
Answer:
b=2A/h
Step-by-step explanation:
[tex]A = \frac{1}{2} bh \\ \\ \therefore \: 2 A = bh \\ \\ \therefore \: b = \frac{2 A}{h} [/tex]
Answer:
b = 2A/h
Step-by-step explanation:
To isolate b, you should first "get rid" of the 1/2. The best way to do this to multiply both sides of the equation by 2. The left side becomes 2A, while the right becomes bh (1/2 multiplied by its reciprocal, 2, becomes 1). Next, you have to move the h to the left side, and you could do so by dividing both sides by h. The left side becomes 2A/h, and the right is just b by itself, getting you b = 2A/h.
