Answer:
Step-by-step explanation:
Here is the complete question.
Dominique, Marco, Roberto , and John work for a publishing company. The company wants to send two employees to a statistics conference. To be fair, the company decides that the two individuals who get to attend will have their names drawn from a hat. This is like obtaining a simple random sample of size 2. (a) Determine the sample space of the experiment. That is, list all possible simple random samples of size n = 2. (b) What is the probability that Dominique and Marco attend the conference? (c) What is the probability that John attends the conference? (d) What is the probability that John stays home?
Since there are four employees to select the two to send from. then for us to get the sample space for the experiment we need to merge all possible two employees and represent them as set.
Let D = Dominique, M = Marco, R = Roberto and J = John
a) The sample space for the experiment is the total number of possible outcomes that we can have. It is as given below
S = 4C2 = 4!/(4-2)!2! (Selecting 2 out of 4 employees)
Total sample space = 4!/2!2!
Total sample space = 4*3*2!/2!2
Total sample space = 12/2 = 6
The sample space are S = {DM, DR, DJ, MR, MJ, RJ}
b) Probability is the ratio of number of event to the sample space.
P = n(E)/n(S)
Given n(S) = 6
n(E) is the event of Dominique and Marco attending the conference.
E = {DM}
n(E) = 1
P(D and M) = 1/6
Hence the probability that Dominique and Marco attend the conference is 1/6
c) For John to attend the conference, the event outcome will be given as;
E = {DJ, MJ, RJ}
n(E) = 3
n(S) = 6
Probability for John to attend the conference is 3/6 = 1/2
d) Probability that John stays at home = 1 - Prob (John attends the conference)
Probability that John stays at home = 1 - 1/2
Probability that John stays at home = 1/2
Write 3.79 as a mixed number.
Answer:
379/100
Step-by-step explanation:
IS THIS IT???
6.7z = 5.2z + 12.3 z=
Answer:
z = 8.2
Step-by-step explanation:
6.7z = 5.2z + 12.3
combine like terms by subtracting 5.2z from both sides
1.5z = 12.3
divide by 1.5
z = 8.2
Answer:
8.2
Step-by-step explanation:
5.2z+12.3=6.7z
12.3=6.7z-5.2z
12.3=1.5z
z=8.2
If an original conditional statement is represented using pq, which represents the converse?
~p -> ~q
~q -> ~p
q -> p
p -> q
Answer: q -> p
Step-by-step explanation:
just took the test
Round 874.902237102 to the nearest ten-thousandth.
Answer:
874.9022
hope this helps
The given decimal rounded to the nearest ten-thousandth is 874.9022.
What is the rounding off numbers?Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
The given decimal number is 874.902237102.
The decimal is rounded to the nearest ten-thousandth is 874.9022.
Therefore, the given decimal rounded to the nearest ten-thousandth is 874.9022.
To learn more about the rounding off numbers visit:
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13 5 6 3 2. If g(x) = 16 for the function g(x) = 3x - 2, solve for the value of x.
need help solving please step by step
Replace g(x) with 16:
16 = 3x-2
Add 2 to both sides:
18 = 3x
Divide both sides by 3:
X = 18/3
X = 6
Find the sample variance and standard deviation.
4, 57, 10, 51, 37, 22, 31, 30, 26, 29
Answer:
Step-by-step explanation:
25 324 796657
What is the area
this trapezoid?
6 m
1 m
3 m
5 m
o
A. 14 m2
O
B. 18 m2
O
C. 21 m2
O
D. 35 m2
Answer:
Area of the trapezoid = 18 m²
Step-by-step explanation:
Formula to calculate the area of a trapezoid is,
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Where [tex]b_1[/tex] and [tex]b_2[/tex] are the parallel sides of the trapezoid
And h = distance between the parallel sides
From the figure attached,
[tex]b_1[/tex] = 5 m
[tex]b_2[/tex] = (6 + 1) = 7 m
h = 3 m
By substituting these values in the formula,
Area of a trapezoid = [tex]\frac{1}{2}(5+7)3[/tex]
= 6 × 3
= 18 m²
Therefore, area of the given trapezoid is 18 m².
Can someone please help me understand this question!
Answer:
-1
Step-by-step explanation:
"Evaluate the expression for ..." means "put these numbers where these variables are and do the arithmetic."
[tex]\sqrt{b}+\dfrac{25}{a}=\sqrt{16}+\dfrac{25}{-5}\\\\=4-5=\boxed{-1}[/tex]
a machinist can produce 114 parts in 6 minutes. at this rate, how many parts can the machinist produce in 15 minutes
Answer:
285!
Step-by-step explanation:
First you have to find out how may parts are produced in a single minute.
We know that 114 parts are produced in 6 minutes so to find how may parts are made in one minute divide 114 by 6 and get an answer of 19
114÷6=19
Now to find how may parts are produced in 15 minutes multiply 19 (number of parts produdced in one minute) by 15 and get an answer of 285!
19×15=285
Hope this helped! :)
3x+4y+5z+2x-2y need help please
Answer:
5x + 2y + 5z
Step-by-step explanation:
Step 1: Write out expression
3x + 4y + 5z + 2x - 2y
Step 2: Combine like terms (x)
5x + 4y + 5z - 2y
Step 3: Combine like terms (y)
5x + 2y + 5z
Five new dresses have been sewn. Chelsea did 1/7 of the total sewing. What fraction of each dress did Chelsea sew?
Answer:
1/35
Step-by-step explanation:
We can use proportion.
5 dresses --- 1/7
1 dress ---- x
x = 1*1/7: 5= 1/7 *1/5 = 1/35
Subtract 42.5 – 7.32
Answer:35.18
Step-by-step explanation:
Did this 7 years ago
The required value of 42.5 – 7.32 is 35.18.
Subtraction of 7.32 from 42.5 to be determined
Subtraction is defined as the value that should be reduced to the subtraction value.
Here, subtraction of 7.32 from 42.5,
⇒ 42.5 - 7.32
= 35.18
Thus, the required value of 42.5 – 7.32 is 35.18.
Learn more about subtraction here:
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M is the midpoint of segment AB. If AM = 4x – 22 and MB = 2x + 14. Solve for x
Answer:
x=18
Step-by-step explanation:
am=by which means you can make the equations equal each other
4x-22=2x+14
2x=36
x=18
Find projvu and projuv. Use the Euclidean inner product. u = (1, −1, −2), v = (1, 1, 2)(a) projvu(b) projuv
Answer:
Step-by-step explanation:
Given the vectors u = (1, −1, −2) and v = (1, 1, 2),
projection of u on v is expressed as [tex]proj_v u = \dfrac{u*v}{|v|^2}*v[/tex]
u.v = (1, −1, −2).(1, 1, 2)
u.v = 1(1)+(-1)(1)+(-2)(2)
u.v = 1-1-4
u.v = -4
|v| = √1²+1²+ 2²
|v| = √1+1+4
|v| = √6
|v|² = (√6)²
|v|² = 6
[tex]proj_v u = \dfrac{-4}{6}*(1,1,2)\\proj_v u = (\dfrac{-4}{6}, \dfrac{-4}{6}, \dfrac{-4}{3} )[/tex]
Similarly for projection of v on u;
[tex]proj_u v = \dfrac{u*v}{|u|^2}*u[/tex]
|u| = √1²+(-1)²+ (-2)²
|u| = √1+1+4
|u| = √6
|u|² = (√6)²
|u|² = 6
[tex]proj_u v = \dfrac{-4}{6}*(1,-1,-2)\\proj_u v = (\dfrac{-4}{6}, \dfrac{4}{6}, \dfrac{4}{3} )[/tex]
What is another name for angle 1?
Answer:a
Step-by-step explanation:
i think
The figures are similar. Find x
Answer: x=6.67
Step-by-step explanation:
Since these parallelograms are similar, we can use proportions to solve for x.
[tex]\frac{15}{9} =\frac{x}{4}[/tex] [cross multiply]
[tex]60=9x[/tex] [divide both sides by 9]
[tex]x=6.67[/tex]
Now, we know that x=6.67.
Answer:
20/3
Step-by-step explanation:
9/4=15/x
cross multiply and get:
9x=15x4
9x=60
divide both sides by 9 so
x=60/9 which when simplified is equal to 20/3
What were the factor(s), levels, and treatments for this experiment?
Step-by-step explanation:
A factor is an independent variable that is manipulated in an experiment.
Every factor has two or more levels, which are different values of the factor.
A combination of factor levels is called a treatment.
There is one factor: number of jumps.
This factor has two levels: sets of 10 and sets of 20.
For a single factor experiment, the levels are also the treatments: Jump 10 program and Jump 20 program.
The library has 1,880 magazines. Each bin holds 8 magazines. How many bins does the
library need to hold all of its magazines?
bins
Submit
I don't kno
Brainliest is given to the correct answer!
As of July 2012, the world record for the 100 meter dash is held by Usain Bolt of Jamaica, who finished such a race in 9.572 seconds in Berlin, Germany, on August 16, 2009. Calculate Bolt’s average race speed in miles per hour. Show all work. Use a conversion rate of 1 mi ~ 1.609 km. Round to three decimal places.
Answer:
v = 23.370 mph
Step-by-step explanation:
It is given that,
The world record for the 100 meter dash is finished in 9.572 seconds in Berlin. We need to find the Bolt’s average race speed in miles per hour.
We know that,
1 mile = 1.609 km
or
1 mile = 1609.34 m
⇒ 100 m = 0.0621 miles
1 hour = 3600 seconds
⇒ 1 second = (1/3600) hour
Average speed = distance/time
So,
[tex]v=\dfrac{\dfrac{100}{1609.34 }\text{miles}}{\dfrac{9.572}{3600}\ \text{hour}}\\\\v=23.36963\ \text{mph}[/tex]
or
v = 23.370 mph
Hence, Bolt’s average race speed is 23.370 mph.
Simplify 4/8 divided by 3/-8 A: -32/21 B: -3/14 C: 3/14 D: 32/21
Answer:
- 1 1/3 which is none of the answers loll
Answer:
-1 and 1/3
Step-by-step explanation: negative one and one third
ABC is an isosceles triangle. Solve for x. In your final answer, include all of the necessary calculations. You may include a sketch as part of your calculations.
Answer:
x= 105
Step-by-step explanation:
Let the unknown angle at the base be y. We know the base angles of an isosceles triangle are the same
The sum of the angles of the triangles are
30 + y +y = 180
30 + 2y = 180
2y = 180-30
2y = 150
y = 75
We know that x+y = 180 since it forms a straight line
x+75 =180
x = 180-75
x = 105
Answer:The abc conjecture It is stated in terms of three positive integers, a, b and c (hence the name) that are relatively prime and satisfy a + b = c. So a conjecture is like an educated guess.
Consider the function f(x) = round(x), which rounds the input, x, to the nearest integer. Is this function one-to-one? Explain or justify your answer.
Answer:
No, it's not a one-to-one function
Step-by-step explanation:
Given
[tex]f(x) = round(x)[/tex]
Required
Determine if this function is one-to-one
I'll answer this question using the following illustrations;
Assume x = 4.6
[tex]f(x) = round(x)[/tex] would be
[tex]f(4.6) = round(4.6)[/tex]
[tex]f(4.6) = 5[/tex]
Also assume x = 4.8
[tex]f(x) = round(x)[/tex] would be
[tex]f(4.8) = round(4.8)[/tex]
[tex]f(4.8) = 5[/tex]
More generally;
[tex]4.5 \leq\ x\leq\5.4[/tex]
Would result in:
[tex]f(x) = 5[/tex]
Since, there's a always a possibility of f(x) having one value for various values of input x, then we can conclude that the function is not a one-to-one function
The function f(x) = round(x) is not one - to - one since different input values of X could yield the same output.
One - to - one functions refers to functions which yield a different output for every input value given. Since, the function rounds input values of x to the nearest integer ;This means that ; some input values of x would produce similar output.For instance :
Given that x = 1.4
f(x) = round(x)
f(1.4) = round(1.4)
Output = 1 ( nearest integer)
Thus output will be the same for all values of x greater than equal to 1 and less than 1.5 (1 ≤ x < 1.5)Since, different input values of X could yield the same the output, then the function is not one - to - one.
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I will mark branliest for ever Andrews first and it’s also 40 points
1. Which number would divide the numerator and the denominator of the first fraction to yield the second fraction?
5/10 divide ?/?= 1/2
2. 12/15 divide ?/? = 4/5
3. 10/12divide ?/? = 5/6
4. 14/18 divide ?/? = 7/9
Answer:
see below
Step-by-step explanation:
5/10 divide ?/?= 1/2
5/10 divide by 5/5 = 1/2
2. 12/15 divide ?/? = 4/5
12/15 divide by 3/3 = 4/5
3. 10/12divide ?/? = 5/6
10/12 divide by 2/2 = 5/6
4. 14/18 divide ?/? = 7/9
14/18 divide by 2/2 = 7/9
What is the value of x?
Answer:
x=70
Step-by-step explanation:
180-45=2x-5
135=2x-5
135+5=2x
140=2x
x=70
Find Scott's monthly payment.
The distance between (-4,6) and (3,-7)
Hey there! I happy to help!
Here's how to find the distance between any two points.
Find the difference between the x values.
-4-3=-7
Square it.
-7²=49
Find the difference of the y values.
6-(-7)=6+7=13
Square that.
13²=169
Add up the two numbers you got.
169+49=218
And square root it.
√218≈14.76.
Have a wonderful day! :D
Ria was given $42.30 to babysit for 2.5 hours. How much did she get for one hour?
Answer:
$16.92
Step-by-step explanation:
Just divide 42.30 by 2.5 and it will give you the answer
Which sum or difference is equivalent to the following expression? Start Fraction 5 minus 3 x over 5 End Fraction
Steps to solve:
5-3x/5
~Divide the numerator to the denominator
-3/5x + 1
Best of Luck!
Samantha spent $22.50 on 9 gallons of gas. What was the price per gallon?
1. A student in an algebra course has test scores of 75, 82, 71, and 84. What score on the next test will raise the student’s average to 80?
Hey there! I'm happy to help!
We have 5 numbers that will give us an average score of 80.
75,82,71,84,x
What we do is add these all up and divide by 5 to get 80. Let's go backwards to find x.
We multiply by 5.
80(5)=400
We subtract all of the numbers except for x.
400-75-82-71-84=88
Therefore, the score on the next test has to be 88 to have the student's average be 80.
Have a wonderful day! :D
