Answer:
[tex]P(M4\ n\ V) = 2.083\%[/tex]
Step-by-step explanation:
Given
Paper = 20 slips
Word: PENNSYLVANIA
Required
Determine P(Multiple of 4 and V)
The sample size of the 20 slips is:
[tex]n(S) = 20[/tex]
The outcomes of multiples of 4 is:
[tex]M4= \{4,8,12,16,20\}[/tex]
[tex]n(M4) = 5[/tex]
So, the probability of multiples of 4 is:
[tex]Pr(M4) = \frac{5}{20}[/tex]
[tex]Pr(M4) = \frac{1}{4}[/tex]
The sample size of PENNSYLVANIA is:
[tex]n(S) = 12[/tex]
The outcome of V is:
[tex]n(V) = 1[/tex]
So, the probability of V is:
[tex]P(V) = \frac{1}{12}[/tex]
So, the required probability is: P(Multiple of 4 and V)
[tex]P(M4\ n\ V) = P(M4) * P(V)[/tex]
[tex]P(M4\ n\ V) = \frac{1}{4} * \frac{1}{12}[/tex]
[tex]P(M4\ n\ V) = \frac{1}{48}[/tex]
[tex]P(M4\ n\ V) = 0.02083[/tex]
Express as percentage
[tex]P(M4\ n\ V) = 0.02083 * 100\%[/tex]
[tex]P(M4\ n\ V) = 2.083\%[/tex]
Help help help I need help ASAP
Answer: 54.4
Step-by-step explanation:
Stella is running a bakery. She has made a street sign to direct people to her
bakery. She painted one side of the post and sign. What is the painted area?
12 in
12 in 13
4 in
75 in
8 in
A. 792 square inches
B. 768 square inches
C. 648 square inches
Answer:
ok its 768 thank me later
Step-by-step explanation:
Help please i will upload a picture
Which of the following is true statement?
Answer:
B
Step-by-step explanation:
I think
Which value for x makes the sentence true?
Please help me this is for a test. Thank you so much whoever answers this.
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review.Assume Χ is normally distributed.Let be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.
A. Find the probability that the mean of a month’s reviews will take Yoonie from 3.5 to 4.25 hrs. Sketch the graph, labeling
and scaling the horizontal axis. Shade the region corresponding to the probability.
b. P(________________) = _______
C. Find the 95th percentile for the mean time to complete one month's reviews. Sketch the graph.
D. The 95th Percentile =____________
Answer: i think it would be 20
Step-by-step explanation:
if you do the problem it should show you
Simplify the following radical expression square root of 20
Answer:
2 radical 5
Step-by-step explanation:
i am smart
Answer:
[tex]\sqrt{20} =2\sqrt{5}[/tex]
Step-by-step explanation:
Given:
[tex]\sqrt{20}[/tex]
Step 1: Factor out the biggest square number:
[tex]\sqrt{4}\sqrt{5}[/tex]
Step 2: Simplify:
[tex]2\sqrt{5}[/tex]
Therefore, [tex]\sqrt{20} =2\sqrt{5}[/tex]
PLEASE HELP MEEEEEEEEE
9514 1404 393
Answer:
A, B
Step-by-step explanation:
The equation is equivalent to ...
cos(x -π/7) = -(√2)/2
x -π/7 = arccos(-(√2)/2) = {3π/4, 5π/4} . . . . . cosine is negative in QII and QIII
x = {3π/4 +π/7, 5π/4 +π/7} +2nπ . . . . . matches A and B
-7 2/3 + (-5 1/2) + 8 3/4
in faction
Answer:
= -4.41666666667
Step-by-step explanation:
Answer:
[tex]-7\frac{2}{3} + -5\frac{1}{2} +8\frac{3}{4}\\\\\frac{-23}{3} -\frac{11}{2} + \frac{35}{4}\\\\[/tex]
LCM (3, 2 ,4) = 12
[tex]\frac{(-23*4) -(11*6)+(35*3)}{12} = \frac{-92-66+105}{12} =\frac{-53}{12} = -4\frac{5}{12}[/tex]
A company sells cereal in two different-sized boxes: a 17-ounce box for $2.89, and a 24-ounce box for $3.29. How do the unit prices of the two boxes compare?
What is the value of (-1/2)⁻⁴?
-16
-1/16
1/16
16
Answer:
16
Step-by-step explanation:
-2^4=16
what is and application that process data into meaningful information is
Answer:
Data processing is a process of converting raw facts or data into a meaningful information. Data can be done manually using a pen and paper, mechanically using simple devices eg. typewritter or electronically using modern dat processing toolseg computers.
Step-by-step explanation:
Please help thank you
Answer:
x =14
<A = 7x -11 = 87
<B = 2x-3 = 25
<C = 5x -2 = 68
Step-by-step explanation:
The sum of the angles add to 180
7x -11 + 2x-3 + 5x-2 = 180
Combine like terms
7x +2x+5x -11-3-2 =180
14x-16=180
Add 16 to each side
14x-16+16 =180+16
14x = 196
Divide each side by 14
14x/14 =196/14
x =14
<A = 7x -11 = 7*14 -11 = 98-11 = 87
<B = 2x-3 = 2*14 -3 = 28-3 = 25
<C = 5x -2 = 5*14 -2 = 70-2 = 68
Two people meet in the purple room on the fourth floor of a building. On departure, one person travels West 20 feet, South 12 feet, and Down 12 feet. The other person travels North 20 feet, East 10 feet, and Up 12 feet. How far apart are the two people? Round to the nearest tenth.
Answer:
50 feet
Step-by-step explanation:
Set up a 3-dimensional coordinate system (see the attached image).
This setup shows an axis that runs North-South (South is negative, North is positive), an axis that runs East-West (East is positive, West is negative), and an axis that runs Up-Down (Up is positive, Down is negative).
The two points in question are then:
First person's location (12, -20, -12), and the second person's location is (-20, 10, 12).
The distance between two points [tex]\left( x_1,\,y_1,\,z_1\right)[/tex] and [tex]\left( x_2,\,y_2,\,z_2\right)[/tex] is
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2[/tex]
[tex]d=\sqrt{(-20-12)^2+(10-(-20))^2+(12-(-12))^2}\\\\d=\sqrt{(-32)^2+30^2+24^2}\\\\d=\sqrt{2500}\\\\d=50[/tex]
A company is making aid badges with personal ID codes on them for each employee. The ID code will consist of two letters followed by 2 digits. Using this scenario, how many possible ID codes are there?
Answer:
67, 600
Step-by-step explanation:
There are 26 alphabet and 10 digits then the number of the possible ID codes will be 67600.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
A company is making aid badges with personal ID codes on them for each employee.
The ID code will consist of two letters followed by 2 digits.
Then the number of ways ID codes are there will be
[tex]\rightarrow 26 \times 26\times 10\times 10\\\\\rightarrow 67600[/tex]
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
Which of the following statements must be true about this diagram?
Answer:
A, C, D
Step-by-step explanation:
A, C, D
PLEASE HELP BRO IM FAILING MATH
Answer:
Step-by-step explanation:
we have several angles that have the same vertex and so they are congruent
1) e = 35 degrees because the opp angle has this measure
2) d = 109 degrees for the reason above
3) for find f we have to notice that the sum of the three angles (if you look at the vertical line you can notice that it is a straight line, so describes two angles whose measures are 180 degrees)
f = 180 - (35 + 109)
f = 180 - 144 = 36 degrees
BE QUICK GIVING BRAINIEST
A cylinder with a diameter of 24 inches and a height of 8 inches has the same volume as a cone with a diameter of 12 inches.
What is the height of the cone?
A. 4 Inches
B. 16 inches
C. 48 inches
D. 96 Inches
Answer:
D. 96 inches.
Step-by-step explanation:
Radius of cylinder = 1/2 * 24 = 12 inches.
Radius of the cone = 1/2 * 12 = 6 inches.
Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h
So pi 12^2 * 8 = 1/3 pi * 6^2 * h
1152 pi = 12 pi h
h = 1152/12
h = 96 inches.
Jill is swimming laps in a pool. The table shows how the total distance she swims depends on the number of laps she does.
Number of Laps - Total Distance (Meters)
5 250
10 500
15 ?
20 1,000
25 1,250
A. 50
B. 75
C. 550
D. 750
Answer:
the expression b/c=b/c is an example of a/an
PLEASE HELP 20 POINTS
Answer:
43 3/4 cups of cheese
8 3/4 cups of olives
26 1/4 cups of sausage
Step-by-step explanation:
Answer:
43 3/4 cup of cheese
26 3/4 cups of olives
8 1/3 cups of sausageHelp pls I hacer 5 mins
Answer:
12.7 is the answer
Answer: 12.7
Step-by-step explanation:
If you like to round 12.654 to the nearest tenth, leaving only one number after the decimal point, then you have come to the right post
What is the simplest form x^2-16/x^2+5x+4fied form of
9514 1404 393
Answer:
(x -4)(x +1)
Step-by-step explanation:
[tex]\dfrac{x^2-16}{x^2+5x+4}=\dfrac{(x+4)(x-4)}{(x+4)(x+1)}=\boxed{\dfrac{x-4}{x+1}}\qquad x\ne-4[/tex]
The simplified form comes with a domain restriction corresponding to the hole in the function where the original denominator is zero.
Rationalize the denominator and simplify
A factory employs 18 women to sew 540 dresses. The women take 6 weeks to do the job. If 12
women had been employed instead, how many weeks would it have taken them to sew the 540
dresses?
9514 1404 393
Answer:
9 weeks
Step-by-step explanation:
In problems of this nature, the usual assumption is that the time required is proportional to the work product and inversely proportional to the number of people doing the job. Here, there is no change in the amount of work, but the number of people is reduced by a factor of 12/18 = 2/3.
So, the amount of time required is expected to increase by a factor of 1/(2/3) = 3/2.
(6 weeks)×(3/2) = 9 weeks
It would have taken 9 weeks to sew the 540 dresses.
reduce to hours and minutes 66000 seconds
Answer:
18.333333 hours
Step-by-step explanation:
1099.99998 mintunes
Choose all the numbers that make 5 × □ < 5 true.
A- 1 1/4 B-3/8 C-10/11 D-4 4/5 E- 4/3 F- 1/4
Answer:
B, C, F
Step-by-step explanation:
It's asking 5 x (what?) is less than 5.
It has to be less than one to be a correct answer then.
Three times a number, x, increased by four is equal to five times the number, x. Which equation can be used to solve for
O 3x+ 5x=4
O 3x+4= 5x
О 3x =4+5х
O 3x-4-5x
HELPPP!!! 50 POINTS!!!
quadratic roots are also called ___,___,___.
3 things!!!
Answer:
solutions, x-intercepts, and zeroes
Step-by-step explanation:
Solutions are values that satisfy the equation. X-intercepts are values of x that the graph of the equation passes through the x-axis.
Zeroes are x values that are resulted from y=0
Helppppp plsssss I will do anything I need to pass this text
Answer:
(1,1) is the answer
Explanation:
Both lines cross at (1,1)