Answer:
The probability that all of the offices are filled by members of the debate team is 0.0512 and the probability that none of the offices are filled by members of the debate team is 0.0256
Step-by-step explanation:
The offices of president, vice president, secretary, and treasurer for an environmental club will be filled from a pool of 15 candidates.
So, Number of candidates required = 4
Total number of candidates = 15
Number of candidates which are members of the debate team. = 8
So, Number of candidates which are not the members of the debate team = 15-8 =7
The probability that all of the offices are filled by members of the debate team = [tex]\frac{^8C_4}{^{15}C_4}=\frac{\frac{8!}{4!\left(8-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0512[/tex]
The probability that none of the offices are filled by members of the debate team=[tex]\frac{^7C_4}{^{15}C_4}=\frac{\frac{7!}{4!\left(7-4\right)!}}{\frac{15!}{4!\left(15-4\right)!}}=0.0256[/tex]
Hence The probability that all of the offices are filled by members of the debate team is 0.0512 and the probability that none of the offices are filled by members of the debate team is 0.0256
Use the given diagram to answer the question.
Which line is the intersection of wo of the planes
shown
Which line intersects one of the planets
Tatou
Which line has points on three of the planes shown?
Answer:
Step-by-step explanation:
1)
Lines X and W intersect 2 planes, while line Y intersects 3 and linen Z and V intersect one plane,
So, answer is lines X and W (don't know about Y, since it intersects more than two planes)
2) Lines Z and V intersect only one of the planes (the other lines intersect more than one, so don't know about them)
3) Line Y has points in all three planes (the rest have in either 2 or one planes)
The line which is the intersection of wo of the planes shown is.
1) Lines X and W intersect 2 planes, while line Y intersects 3, and lines Z and V intersect one plane,
So, the answer is lines X and W (don't know about Y, since it intersects more than two planes)
The line which intersects one of the planets Tatou is.
2) Lines Z and V intersect only one of the planes (the other lines intersect more than once, so don't know about them)
The line which has points on three of the planes shown is.
3) Line Y has points in all three planes (the rest have in either 2 or one plane)
What are the basics of geometry?Basic geometric concepts are based on three basic concepts. They are a point, a line, and a plane. We cannot specify the terms. However, it does refer to a position mark and has a precise location.
Learn more about Geometry at https://brainly.com/question/20303542
#SPJ2
The first two terms of a geometric sequence are a1 = 1 and a2 = 3. Find a4, the fourth term of the sequence. Question 1 options: A) 81 B) 27 C) 243 D) 9
Answer:
B)
Step-by-step explanation:
Common ratio = a2/a1 = 3/1 = 3
[tex]a_{n}=ar^{n-1}\\\\a_{4}=1*3^3\\\\ = 27[/tex]
determine the value of x in the diagram with explanation plz
Algebraically find the roots of the quadratic equation: w2 + 8w+ 15 = 0
(HINT: You may factor or use the quadratic formula)
Answer:
w = - 5, w = - 3
Step-by-step explanation:
Given
w² + 8w + 15 = 0
Consider the factors of the constant term (+ 15) which sum to give the coefficient of the w- term (+ 8)
The factors are + 5 and + 3 , since
5 × 3 = 15 and 5 + 3 = 8 , thus
(w + 5)(w + 3) = 0 ← in factored form
Equate each factor to zero and solve for w
w + 5 = 0 ⇒ w = - 5
w + 3 = 0 ⇒ w = - 3
Eva can type 320 words in 4 minutes. How many words per minute can Eva type?
words per minute
Answer:
80 words per minute
Step-by-step explanation:
320/4
80 wpm
Answer:80 wpm
Step-by-step explanation:
Divide 320 by 4.
That should give you 80.
Hope i helped :)))
what is the square root of 345 to the 9th power
Answer:
[tex](\sqrt[2]{32})^{9}[/tex]=5931641.60152
Step-by-step explanation:
:)
Rewrite using a negative exponent.
1/a ^4
Answer: a^-4
Step-by-step explanation:
[tex]\frac{1-4}{a^4-4}[/tex] = a^-4
(06.02 LC)
Simplify (3x - 5) - (5x + 1).
0-2x + 6
0-2x - 6
O 2x - 6
O 2x + 6
Answer:
-2x-6
Step-by-step explanation:
Look at the attachment
- Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make
2 of each size hamburger, how many packages of meat will she need to buy?
The question is incomplete! Complete question along with answer and step by step explanation is provided below.
Question:
The Whispering Lakes Neighborhood Association is having a hamburger cookout. Each family can choose whether to order the hamburgers or bring their own. Use the information in the table to solve the number stories. Use drawings, tables, or equations to show what you did.
Mrs. Ward found 80-ounce packages of hamburger on sale. If she needs to make 2 of each size hamburger, how many packages of meat will she need to buy?
Answer:
The number of meat packages is
100/80 = 1.25 = 5/4
Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.
Number of meat packages = 2
Step-by-step explanation:
Please refer to the attached table where we are given size of hamburgers and the weight of corresponding hamburger patty in pounds.
small = 1/8 lb
medium = 1/4 lb
large = 1/2 lb
jumbo = 3/4 lb
king of burgers = 1 1/2 lb = 3/2 lb
To make 1 of each hamburger we need
Total weight of patty = 1/8 + 1/4 + 1/2 + 3/4 + 3/2
Total weight of patty = 25/8 = 3.125 lb
But she needs to make 2 of each size hamburger so,
Total weight of patty = (25/8)×2 = 25/4 = 6.25 lb
Mrs. Ward found 80-ounce packages of hamburger on sale
first we have to convert pounds into ounces
We know that 1 pound has 16 ounces
6.25×16 = 100 ounces
So the number of meat packages required is
100/80 = 1.25 = 5/4
Assuming that the number of packages cannot be in fraction, then she would need at least 2 packages of meat.
Number of meat packages = 2
Describe the cross section.
Answer: D. Square
The cross section is shown as the shaded region. There are four sides to the shaded figure, so the cross section is a quadrilateral. This rules out choice C. We can also cross choice B off the list because cross sections of 3D figures are 2 dimensional.
Choice A is ruled out as well because we have both pairs of opposite sides that are parallel. The only thing left is choice D. This is true assuming we have a square prism. Any cube is a square prism that has its height equal to the width and length.
What is the slope of the line shown below?
10
(6,2)
10 (-2,-3)
10
10-
O
A.
olm
O
B.
LOCO
O c.
D.
O
100
Helpppppp
Help me please !!!!!!!!!
Answer:
756.5 =x
Step-by-step explanation:
To find the perimeter of a rectangle
P = 2 (l+w)
4533 = 2 ( x+3 + 2x-6)
Combine like terms
4533 = 2 ( 3x -3)
Distribute
4533 = 6x -6
Add 6 to each side
4533+6 = 6x
4539 = 6x
Divide by 6
4539/6 =x
756.5 =x
At 4 p.m., the temperature started to change drastically. Each hour, for three hours, the temperature decreased by 7°F. Which word in the problem indicates that a negative integer should be used? change each decreased drastically
Answer:
Decreased.
Step-by-step explanation:
Decrease means to go down or take away, therefore in a mathematical equation, it would be represented by a negative integer.
Change could be positive or negative
each is a singular description word
and drastically is just describing how fast.
have a good day!
Answer:
decreased :^)
Step-by-step explanation:
If you had an additional 1.65 pounds to download songs, how many more songs could you have downloaded? Write and solve an equation to solve the problem. Describe the step-by-step process you used to solve the problem
you could download 2 more songs.
X.59, where X stands for the number of songs downloaded, and .59 for the price of the song. 2*.59=1.18, or you could add .59+.59+.59=1.77, and 1.77 > 1.65, meaning you wouldn't afford the third song
The Figure below shows a rectangular prism and a cube:
How many such cubes are required to completely pack the prism without any gap or overlap?
A. 288
B. 576
C. 1,152
D. 1,636
Which sentence would be a good counter example to this statement ?
A line can exist in only one plane.
A. A line intersects one plane and the another.
B. A line is to one plane at a time.
C. A line that is Coplanar exists in more than one place.
D. A line is he intersection of two planes
Please help I need help with this
Answer:
The answer is "Option D".
Step-by-step explanation:
A line is a horizontal 1D-dimensional representation without any thickness and extends in every way. It sometimes is also known as the straight line. The line, which connects two planes lies simultaneously on both planes, that's why in this question only "option D" is correct.
Answer:
D>
Step-by-step explanation:
The circumference of the earth is given.
What is the diameter of earth? Round your answer to the nearest tenth. Use 3.14 for π.
Enter your answer in the box below.
____miles
Answer:
Diameter of the earth is 7930.25 miles
Step-by-step explanation:
To find the diameter of the earth, we will follow the steps below:
first write the formula of the circumference
c = 2πr ---------------------------------------------------------------------------------------------(1)
where r is the radius and c is the circumference
from the diagram below, circumference is given to be 24901 miles
π = 3.14
substitute the value of c and π into equation (1) and solve for r
c = 2πr
24901 = 2 × 3.14× r
24901 = 6.28 r
Divide both-side pf the equation by 6.28
24901/6.28 = 6.28 r/6.28
3965.1274≈ r to the nearest tenth
r≈ 3965.1274 miles
But diameter = 2r
diameter = 2 × 3965.1274
diameter ≈ 7930.25 to the nearest tenth
Diameter of the earth is 7930.25 miles
Answer:
7930.3milesStep-by-step explanation:
The earth is spherical in shape. The formula for calculating the circumference of a sphere is πd where d is thee diameter of the earth.
C = πd
Given C = 24, 901miles and π = 3.14, on substituting,
24, 901 = 3.14d
d = 24,901/3.14
d = 7930.255
d ≈ 7930.3miles to the nearest tenth
Which algebraic expression represents the phrase "four times a number"?
4 + c
C-4
4-0
4c
Answer:
4c
Step-by-step explanation:
it pretty much means 4*c
Answer:
= 4c
Step-by-step explanation:
4×(c) . I hope it helps
A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities. [4×5 marks] A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities.
a) Exactly 2 are defectives.
b) None is defective.
c) All are defective.
d) At least 1 is defective.
Answer:
a) 10.73%
b) 45.60%
c) 0.0094%
d) 54.4%
Step-by-step explanation:
The probability of one transistor being defective is equal the number of defective transistors over the total number of transistors
a)
The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. The probability of the third one being not defective is 20/22, and the fourth one not being defective is 19/21. We also multiply the final probability by a combination of 4 choose 2, because the defective transistors can be any 2 of the group of 4:
C(4,2) = 4! / (2! * 2!) = 6
P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%
b)
Similar to the letter a), we have:
First one not defective: P = 20/24
Second one not defective: P = 19/23
Third one not defective: P = 18/22
Fourth one not defective: P = 17/21
P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%
c)
First one defective: P = 4/24
Second one defective: P = 3/23
Third one defective: P = 2/22
Fourth one defective: P = 1/21
P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%
d)
If we want at least 1 defective, we just need to subtract 100% from the case where all 4 are not defective:
P = 1 - 0.4560 = 0.5440 = 54.4%
In this exercise we have to use the knowledge of probability to calculate each of the requested probabilities, so we can say that:
a) [tex]10.73\%[/tex]
b) [tex]45.60\%[/tex]
c) [tex]0.0094\%[/tex]
d) [tex]54.4\%[/tex]
a)The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. So the combination will be:
[tex]C(4,2) = 4! / (2! * 2!) = 6\\P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%[/tex]
b)So find the not defective, we have:
First one: P = 20/24 Second one: P = 19/23 Third one: P = 18/22 Fourth one: P = 17/21
[tex]P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%[/tex]
c)So find the defective, we have:
First one: P = 4/24 Second one: P = 3/23 Third one: P = 2/22 Fourth one: P = 1/21
[tex]P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%[/tex]
d)We just need to subtract 100% from the case where all 4 are not defective:
[tex]P = 1 - 0.4560 = 0.5440 = 54.4%[/tex]
See more about probability at brainly.com/question/743546
Please help with this
Answer:
x = 6
Step-by-step explanation:
The scale factor is
28/8 = 7/2
We take the ratio of the larger side over the smaller side
Using ratios we can find the sides
28 21
----- = ---------
8 x
Using cross products
28x = 21*8
28x =168
Divide each side by 28
28x/28 = 168/28
x =6
can anyone help me plz and I need the person to explain it for me
Answer:
1 cm = 100 mi
28.9/1=28.9
28.9 x 100 = 2890 miles distance
2890 / 65 miles per hour = 44.4615 hours to drive
44.461/24 hours in a day = 1.85 rounded up is 2 days
About two days
If you have any questions you can ask
Step-by-step explanation:
Answer:
a) 2900
b) about 44 hours
2 days
Step-by-step explanation:
A physics test is normally distributed. The class average was 79.3, and the standard deviation was 7.5. What percent of students scored between a 68 and 86.8?
Answer:97.275% or 97.5%
Step-by-step explanation:
Which type of line is shown below
Type of lines ? Not the best question.
Answer: Perpendicular, first choice
The little 90 degree angle indicator at the intersection marks these lines as meeting at a right angle, which is called perpendicular.
Based on the graphic, which three-dimensional figure has the greatest volume?
A) the cylinder
B) the rectangular prism
C) the oblique rectangular prism
D) all three have the same volume
Find x in the given figure if m∠AOC = 130°. Question 7 options: A) –14 B) 8 C) 10.5 D) 14
Answer:
B) x=8
Step-by-step explanation:
To solve, we must find x like so:
We know that angle AOC = 130, so adding AOB and BOC will equal 130, then we solve for x.
[tex](6x-5)+(8x+23)=130\\6x-5+8x+23=130\\14x+18=130\\14x=130-18\\14x=112\\x=\frac{112}{14}\\x=8[/tex]
Solve the following equations using algebraic operations ( 4x-1=2x+11)
Answer:
x = 6
Step-by-step explanation:
4x-1=2x+11
Subtract 2x from each side
4x-2x-1=2x-2x+11
2x-1 =11
Add 1 to each side
2x-1+1 = 11+1
2x = 12
Divide by 2
2x/2 = 12/2
x = 6
Which transformation does not match blue figure to the red flag
Answer:
the second one trust me
Step-by-step explanation:
help me i’m in need
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Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.
Answer:
D No, because on x values corresponds to two different y values
Step-by-step explanation:
This is not a function because an input has two different outputs
x=5 has two different y values
1. Using the figure below, what is the measure of angle ABE?
Answer:
The angle of ∠ABE is 40°.
Step-by-step explanation:
Given that ∠ABE and ∠CBD are opposite vertical angles so they have the same measure of angles.
Because ∠ABE and ∠CBD are vertical angles, ∠ABE = ∠CBD = 40°.
please mark me brainliest :)
What is the median of the data displayed in the box and whisker plot?
Answer:
The median is the middle number in a you box/whisker plot. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values
Step-by-step explanation:
The median is "the middle number" in short...
ex: 1,5,8,9,8648
the middle number would be 8
Brainliest plz
Answer:
median is where the middle line in the box is
Step-by-step explanation:
