Answer:
[tex]\frac{1}{4845}[/tex] probability that you and your 3 friends will be selected.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the volunteers are chosen is not important, which means that the combinations formula is used to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Desired outcomes:
You and the 3 friends(4 people), from a set of 4. So
[tex]D = C_{4,4} = \frac{4!}{4!0!} = 1[/tex]
Total outcomes:
20 people from a set of 20. So
[tex]T = C_{20,4} = \frac{20!}{4!16!} = 4845[/tex]
Probability:
[tex]p = \frac{D}{T} = \frac{1}{4845}[/tex]
[tex]\frac{1}{4845}[/tex] probability that you and your 3 friends will be selected.
find the surface area of each figure (spheres and hemispheres)
Answer:
7. 1520.53 cm²
8. 232.35 ft²
9. 706.86 m²
10. 4,156.32 mm²
11. 780.46 m²
12. 1,847.25 mi²
Step-by-step explanation:
Recall:
Surface area of sphere = 4πr²
Surface area of hemisphere = 2πr² + πr²
7. r = 11 cm
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*11² = 1520.53 cm² (nearest tenth)
8. r = ½(8.6) = 4.3 ft
Plug in the value into the appropriate formula
Surface area of the sphere = 4*π*4.3² = 232.35 ft² (nearest tenth)
9. r = ½(15) = 7.5 m
Surface area of the sphere = 4*π*7.5² = 706.86 m² (nearest tenth)
10. r = ½(42) = 21 mm
Plug in the value into the formula
Surface area of hemisphere = 2*π*21² + π*21² = 2,770.88 + 1,385.44
= 4,156.32 mm²
11. r = 9.1 m
Plug in the value into the formula
Surface area of hemisphere = 2*π*9.1² + π*9.1² = 520.31 + 260.15
= 780.46 m²
12. r = 14 mi
Plug in the value into the formula
Surface area of hemisphere = 2*π*14² + π*14² = 1,231.50 + 615.75
= 1,847.25 mi²
Page
In
village 40% of the total population is male and 5000 are female. find the total population of village.
Answer:
8,333 total population
Step-by-step explanation:
Question can be restated as "5000 is 60% of what number?"
5000 = .6x
x = 5000/0.6
x = 8,333.33
How do I deposit more money into my bank account
When you deposit cash at a bank or credit union, you typically need to use a deposit slip. That's simply a slip of paper that tells the teller where to put the money. Write your name and account number on the deposit slip (deposit slips are usually available at the lobby or drive-throug).
HELPPP ASAPPP!!!!!!!!
Which of the following could be its measure?
A. 92
B. 180
C. 240
D. 360
Answer:
M
Step-by-step explanation:
You are jumping rope at a rate of 15 jumps every 24 seconds. At this rate, how long will it take you to jump 90 times?
Answer:
144 seconds
Step-by-step explanation:
divide 90 by 15 to get 6
if you are jumping in sets of 15, that means you need to jump 6 sets to get to a total of 90 jumps total. if every set of 15 jumps takes 24 seconds that means that 6 sets will take 144 seconds. 6 x 24 = 144
8).
9).
7). Degrees
Degrees
Degrees
A
77
Teacrerit20
HELP ASAP PLEASE
Answer:
1) 47 degrees
2) 28 degrees
3) 26 degrees
Step-by-step explanation:
a triangle always equals 180 degrees, you add together the numbers you have then subtract it from 180 then you'll get your answer <3
Please Help Me!
*Question Is Below Here*
Answer:
21
Step-by-step explanation:
2^3=8
7x6=42
42x8=336
336/ (10.6+5.4)
336/ 16= 21
Answer 21
Can someone help please?
Step-by-step explanation:
abcdefghijklmnopqrstu
Find two numbers a and b whose sum a+b is -3 and whose difference a−b is -5
Answer:
A=-4, b=1
Step-by-step explanation:
add those two function together u will got:
a+b+(a-b)=-3+(-5)
2a=-8
A=-4
-4+b=-3
B=1
The average amount of ozone in several cities across Pennsylvania was found in a study to correlate with the average number of asthma cases in those cities. What type of study was this
Answer:
Ecological study
Step-by-step explanation:
When the basis for the conclusion of a study is done an a group or population level rather than on a person, single or individual basis, then we refer to this as an ecological study. In the scenario described above, relationship between ozone in Pennsylvania and the number of asthma cases was generalized and presented on the mean or average level rather than being compared in terms of individual figure. Hence, research studies of this type or nature are classed as ecological study.
Solve for d.
–821 = d + –701
Answer:
d = -120
Step-by-step explanation:
-821 + 701 = d
d = -120
For one month, 500 elementary students kept a daily record of the hours they spent watching television. The average number of hours per week spent watching television was 28. The researchers conducting the study also obtained report cards for each of the students. They found that the students who did well in school tended to spend less time watching television than those students who did poorly. Listed are several possible statements concerning the results of this research. Place a check by every statement that you agree with based on this study.
a. The sample of 500 is too small to permit drawing conclusions about elementary students in general.
b. If a student decreased the amount of time spent watching television, his or her performance in school would improve.
c. Even though students who did well in school watched less television, this doesn't necessarily mean that watching television hurts school performance.
d. One month is not a long enough period of time to estimate how many hours the students really spend watching television.
e. I don't agree with any of these statements.
Answer:
a. The sample of 500 is too small to permit drawing conclusions about elementary students in general.
C. Even though students who did well in school watched less television, this doesn't necessarily mean that watching television hurts school performance.
Step-by-step explanation:
To make inferences about a general population from sample data, we must ensure that the data is considerably large enough and randomized, this is in other to ensure that the sample is representative of the population. Hence, Making conclusion about a very large population such as here, where we want to correlate performance and playing time, a very large sample which should be atleast 10% of the population should be employed. Hence, a sample of 500 ; for making Decison about general elementary students which should run into millions require more samples.
Also Recall that, correlation does not imply causation, The fact that there is a perceives relationship between grade or performance and time spent watching TV does not necessarily mean that poor grade was caused by long duration of hours spent watching television. Other, factors such as, level of intelligence, variation of teachers competence and so on may also be causal factors.
In the figure, WM = MY = 11 in, and XM = MZ = 8 in. Is quadrilateral WXYZ a parallelogram? Why or why not?
Question 15 options:
A)
No, because the diagonals aren't congruent.
B)
No, because both diagonals bisect each other.
C)
There isn't enough information.
D)
Yes, because both diagonals bisect each other.
Answer:
Yes, because both diagonals bisect each other.
Step-by-step explanation:
correct on test
Answer:
yes
Step-by-step explanation:
In one month, a farm produces 1200 pounds of potatoes. In the following month,
the amount of potatoes it produces increases by 15% over the previous month.
How many potatoes does it produce in the second month?
O 1280 pounds
O 1320 pounds
O 1350 pounds
O 1380 pounds
O 1450 pounds
1200=100%
=115%?
1200×115%\100%
=1380
HELP........................................
Shreman drew a shape with these properties: •Four sides •Four right angles •Two sides have different lengths
Answer: the shape is a rectangle
Step-by-step explanation:
Answer:
Rectangle :)
Step-by-step explanation:
Someone plzzzzz give me the answer for this. Btw I know if you add them all it would be A but there are 3 lines left then add them all. So basically just give me the answer plzzz I really need your help.
Answer:
Option D. 37¼ ft
Step-by-step explanation:
The perimeter of the figure above can be obtained by adding all the lengths of each sides together. This can be obtained as follow:
The lengths of each sides are given below:
Top = 6¼ ft
Left = 9⅛ ft
Bottom = 9½ ft
Right = 7¾ ft
Top horizontal = 9½ – 6¼
= 19/2 – 25/4
= 13/4 ft
Top height = 9⅛ – 7¾
= 73/8 – 31/4
= 11/8 ft
Perimeter = 6¼ + 9⅛ + 9½ + 7¾ + 13/4 + 11/8
= 25/4 + 73/8 + 19/2 + 31/4 + 13/4 + 11/8
= 149/4
= 37¼ ft
Thus, the perimeter of figure is 37¼ ft
Which x: y ratio describes the proportional relationship between the x- and y-coordinates in
the table?
Answer:
1 : 3
Step-by-step explanation:
15 : 45
Divide both sides by 15
1 : 3
20 : 60
Divide both sides by 20
1 : 3
25 : 75
Divide both sides by 25
1 : 3
Please help!! Timed assignment
Arrange the figures in increasing order of their volumes. Use Pi =22/7
Answer:
see the list below
Step-by-step explanation:
did all the formulas for each and I believe the order is from (smallest to biggest)
1. The half sphere or hemisphere (3rd in the pic)
2.The pyramid
3.slanted cone
4.cone
5.slanted cylinder
6.and finally the cylinder
Volume of cylinder II< Volume of cylinder I< Volume of Cone II< Volume of pyramid <Volume of Cone I
What is volume?The amount of space occupied by a three-dimensional figure as measured in cubic units.
Volume of Cone I = 1/3 πr²h= 1/3*22/7*5*5*7
=25 cm³
Volume of cylinder I= πr²h= 22/7*4*4*5
= 251.42 cm³
Volume of hemisphere= 2/3*πr³= 2/3*22/7*3.5*3.5*3.5
= 89.833 cm³
Volume of pyramid = l*w*h= 10*5*6
= 100 cm³
Volume of cylinder II= πr²h= 22/7*6*6*8
= 905.14 cm³
Volume of Cone II= 1/3 πr²h= 1/3*22/7*4.5*4.5*7.5
=159.107 cm³
Learn more about volume here:
brainly.com/question/16134180
#SPJ2
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer:
the volume is 120
Step-by-step explanation:
the formula for volume with length times width times height. Just multiply 3 x 5 x 8
plzzzzzzzz help for a brainly
Answer:
50
Step-by-step explanation:
50+40=90 and that's what you need
Answer:
50
Step-by-step explanation:
it's a right triangle so it has to equal 90 and since there is a 40 you will need 50 to equal 90
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!
9514 1404 393
Answer:
4) ΔEFG ~ ΔECD
6) Not Similar
Step-by-step explanation:
4) Shortest to longest sides are ...
EF : FG : GE = 14 : 16 : 20 = 7 : 8 : 10 (reduced)
EC : CD : DE = 7 : 8 : 10
The triangles have the same side length ratios, so are similar.
ΔEFT ~ ΔECD
__
6) Shortest to longest, the given sides have ratios ...
UT : TV = 71 : 84 (reduced)
GT : TH = 60 : 72 = 5 : 6 (reduced)
The side ratios are different, so the triangles are NOT SIMILAR.
Answer:
part 1. Use side ratios to determine if the triangles in each pair of similar. If so complete the similarity statement. NO LINKS!!!
PLEASE HELP
log (5x – 10) = log (6 – 5x)
Answer: look at the picture
Step-by-step explanation: Hope this help :D, Can I have a Brainliest I really needed it please
High value points! Please find the VALUE of x and y (my last problem for my work) please help!
Answer:
x=35
y=100
Step-by-step explanation:
x+15=50
x= 50-15
x= 35
y+30+50=180
y+80=180
y=180-80
y= 100
The Sine Function
According to the National Weather Service, the average monthly high temperature in the Dallas/Fort Worth, Texas area from the years of 2006-2008 is given by the following table:
Plot the data on a scatter plot., Produce a sine regression model for the data. Round the values for a, b, c, and d to the nearest 0.0001.
a. y = 67.577 sin(0.500 x - 1.959) + 20.077
b. y = 20.077 sin(0.500 x - 1.959) + 67.577
c. y = 20.077 sin (1.959 x - 0.500) + 67.577
d. y = 20.077 sin (67.577 x -1.959) + 0.500
Please select the best answer from the choices provided
Answer:
B. y = 20.077 sin(0.500 x - 1.959) + 67.577
Step-by-step explanation:
I calculated logically
BRAINLIESTT
PLEASE HELP
10PTSS
SHOW WORK AND WILL MARK BRAINLIEST
The graph below shows the numbers of cups of peach juice that are mixed with different numbers of cups of lemon-lime soda to make servings of peach soda:
What is the ratio of the number of cups of peach juice to the number of cups of lemon-lime soda?
Answer:
D, 9:1
Step-by-step explanation:
There is 36 peach juice for 4 lemon-lime, simplified is 9:1. Hope this helps!
Answer:
9:1
Step-by-step explanation:
If you read the graph, the line that runs down the page shows 9 and 1, therefore 9:1. It's hard to explain radio so let me know if you want more detail.
(You will get brainliest if you give a long answer) You have recently purchased a new backpack as show in the picture. The main section of the backpack is made of a rectangular prism and half a cylinder. The front pocket is also a rectangular prims. Use the diagram to find the volume of your new backpack.
Explain how you calculated the answer using complete sentences and proper grammar.
*see attachment for diagram
Answer:
Volume of new backpack = 1,299.84 in.³
Step-by-step explanation:
Volume of the new back pack = volume of the front pocket + volume of the main section of the backpack
✔️Volume of the front pocket = volume of rectangular prism = L*W*H
L = 8 in.
W = 4 in.
H = 2 in.
Volume of the front pocket = 8*4*2 = 64 in.³
✔️Volume of the main section of the back pack = volume of the rectangular prism + volume of the half cylinder
= L*W*H + ½(πr²h)
L = 12 in.
W = 10 in.
H = 7 in.
r = 6 in.
h = 7 in.
Plug in the values into the equation
Volume of the main section of the backpack = 12*10*7 + ½(π*6²*7)
= 840 + ½(791.68)
= 1,235.84 in.³
✅Total volume of the new backpack = 64 + 1,235.84 = 1,299.84 in.³
Hey can someone pls help me answer this? I was rlly confused
Answer:
[tex]4\pi[/tex]
Step-by-step explanation:
Please help I’ll brainlest period
Answer: C
Step-by-step explanation:
please help !! i’ll give 5 stars if help.
Answer:
true
Step-by-step explanation:
there are two x-intercepts