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Explanation:
Let's say the teacher pulls the two boys out of the line, and stands in their place. So we have 5 girls and 1 teacher making 6 people total.
There are 6! = 6*5*4*3*2*1 = 720 different permutations here. Order matters. This involves the teacher, so let's have him/her step out of the line and have the two boys replace the teacher's position. This guarantees the boys stick together. For any permutation, we have 2 different ways to arrange the boys. So we have 2*720 = 1440 different ways to arrange the students so that the two boys are next to each other.
This is out of 7! = 7*6*5*4*3*2*1 = 5040 different permutations overall (we're arranging 5 girls+2 boys = 7 people).
The probability we're after is going to be 1440/5040 = 2/7
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Or you could see it like this
1440 = 2*6!
5040 = 7! = 7*6!
So,
1440/5040 = (2*6!)/(7*6!)
1440/5040 = 2/7
Can anyone help me please?? Thank you.
Answer:
okay well the total distance is 3 and 1/3 km and the speed that it was for him to go downstream was 2/3 km per hour
A health psychologist knew that corporate executives in general have an average score of 2.55 with a standard deviation of 0.5 on a stress inventory and that the scores are normally distributed. In order to learn whether corporate executives who exercise regularly have different stress scores, the psychologist measured the stress of 30 exercising executives and found them to have a mean score of 2.76. a. Using the five steps of hypothesis testing, was the group of 30 exercising executives different from executives in general? (Use the .05 significance level.) Be sure to sketch the distributions involved. Be sure to fully state the five steps and show ALL calculations/work. b. Additionally, explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. (Be sure your explanation includes a discussion of the distribution of means--what it is, what it is made of, the concept of how it is created, how itʹs characteristics are created, its role in the overall hypothesis testing process.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
STEP 1:
Stress score in general executive (s1)
Stress score in exercising executive (s2)
Null : s1 = s2
Alternative : s1 < s2
STEP 2:
Shape of distribution = normal
Population mean (μ) = 2.55
Population standard deviation (σ) = 0.5
Sample size (n) = 30
Sample mean (x) = 2.76
α = 0.05
Decision rule :
α = 0.05 which corresponds to a t score (t0) ;
df = n - 1 = 30 - 1= 30 at 0.05 = 1.699
If :
(Test statistic (t) > t0) ; reject the Null
(right tailed test)
Test statistic (t) :
(x - μ) / (σ/√n)
(2.76 - 2.55) / (0.5/√30)
0.21 / 0.0913
= 2.30
t > t0
2.30 > 1.699
t is more extreme than t0
Hence, reject the null at α = 0.05
Sara buys a sweater at a department store. The sweater costs $15. The store is having a 20% off sale on everything in the store.
With this sale, what is the final cost of the sweater? Do not consider the sales tax.
The sweater will cost $
dollars.
Answer:
The sweater will cost $12
Step-by-step explanation:
15 x 20% = 3 15 -3 = 12
−8 3/4÷2 1/6 please show me ur work
Answer:
- 4 1/26Step-by-step explanation:
Solving in steps:
- 8 3/4 ÷ 2 1/6 =- 35/4 ÷ 13/6 =- 35/4 × 6/13 = - 35/2 × 3/13 =- 105/26 =- 4 1/2612
Which value of x makes this equation true? *
- 4 (3 – x) + 2x = 8
Answer:
I believe that the answer is 3.33
I MARK BRAINLEIST! WHEN CONVERTING STANDARD FORM TO SCIENTIFIC FORM WITH A POSITIVE EXPONENT
YOU MOVE TO THE
O LEFT
O RIGHT
Answer:
You move the 0 to the right
Step-by-step explanation:
Can someone quickly help me solve this ?!
Answer: 8
Step-by-step explanation: if you count the angels and the sides then you'll get the answer 8..
PLS HELP ME I HAVE A FEW MINS TO ANSWER I'LL DO WHAT EVER YOU WANT JUST HELP ME
Answer:
a. 160-24=g
b. 160-24=g
-24
136=g
c. 136
What is the answer too −2/3(12c−9)+14c=
-2/3(12c - 9) + 14c
=-8c + 6 + 14c
=6c + 6
=6(c + 1)
On field trips there must be 2 chaperones for every 15 students which ratio correctly express the ratio of students
Answer:
15:2 or 15 to 2
Step-by-step explanation:
They are asking for a ratio based on how many chaperones per student (in this case 15 students) In other words 15 students for every 2 chaperones.
HELPPP PLEASE!!!! SHOW ALL WORK!!!
Answer:
x=48
Step-by-step explanation:
Since these angles are supplementary, they add up to 180. so, you can set the equation x+23+x+61=81. Simplify the equation and solve for x
Answer:
#1 is x+23°=23
#2 is x+61°=61
Step-by-step explanation:
Because when you are adding it will always be a positive number
But when you are subtracting it will always be a negative number
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
it is point B
Step-by-step explanation:
because im smart
Answer:
Point B
Step-by-step explanation:
√11 is 3.3
And A is about 2. Something and inbetween D and E is 4 which means C will be 3.5
So it leaves it at B
How to show the value of 11 in two different ways
Answer:
1 x 11
10 + 1
Step-by-step explanation:
Lances goal is to run 16 laps around the track. Each lap is 350 yards. Currently lances ran 2450 yards around the track. How much is his percent did he run so far??
Answer:
Hi There!
Your answer is :
He ran 43.75% so far.
Step-by-step explanation:
16 laps = GOAL
350* 16 to determine goal yards
16laps = 5,600yrds
1 lap= 350 yrds
xlaps = 2450 yrds
2450/350 to determine x laps.
7 laps = 2450 yards
He is 2450 yards into his 5,600 yard goal.
IF 5,600 = 100%
/5600
1 yard = 1/56th %
* 2450
2450yards = 43.75%
Hope this helps
An above-ground swimming pool is leaking. After ½ hour the pool has leaked ⅞ of a gallon of water. How many gallons of water per hour is the swimming pool leaking?
Answer: 14/8 or 1 and 3/4 of a gallon
Step-by-step explanation: Since its leaking 7/8 every half hour, you would multiple 7/8 by two
a conference hall has 33 rows.the last row contains 80 seats each row has two fewer seats than the row behind it.how many seats are there second to the last row?
Answer:
there are 84 seats in the second to the last row
Step-by-step explanation:
Given that
each row has two fewer seats than the row behind it
It means that
if first row has x seats then
no of seat in second row has (x-2) seats.
and similarly
no of seat in third row =no of seat in second row - 2seats.
no of seat in third row = (x-2) seat - 2 seats = x - 4 seats
_____________________________________________
Given that
last row has 80 seats
let the number of seat in first to the last row be x
then number of seat in last row = x-2
we know number of seat in last row = 80
thus
x - 2 = 80
x = 82
Thus,
the number of seat in first to the last row is 82
Similarly let the number of seat in second to the last row be y
then number of seat in first to the last row = y-2
since number of seat in first to the last row is 82
thus
y-2 = 82
y = 82 + 2 = 84
Thus, there are 84 seats in the second to the last row.
_________________________________________________
**Find the component form of the resultant vector.**
Answer:
[tex]\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)[/tex]
Step-by-step explanation:
Vector Addition
We are given the points A=(1,3), B=(-4,5), C=(-2,10), D=(0,1). Find:
[tex]\overrightarrow{AB}+\overrightarrow{CD}[/tex]
First, find both vectors from the initial and final points:
[tex]\overrightarrow{AB}=(-4-1,5-3)=(-5,2)[/tex]
[tex]\overrightarrow{CD}=(0-(-2),1-10)=(2,-9)[/tex]
Now find the sum of both vector by adding the components separately:
[tex]\overrightarrow{AB}+\overrightarrow{CD}=(-5,2)+(2,-9)=(-3,-7)[/tex]
[tex]\boxed{\overrightarrow{AB}+\overrightarrow{CD}=(-3,-7)}[/tex]
Find the common difference of the arithmetic sequence 10,1,-8,...
Common difference = Second term - first term
Common difference = 1 - 10
Common difference = - 9
0.25k + 1.5 - k - 3.5
please help measuring !
can someone help me it is math
Answer:Its 1/6
Step-by-step explanation:
49×38= 4 × 39 × 8= 12/72= 12 ÷ 12/72 ÷ 12= 16
Ari rents the bike for 4 hours, and Meg rents the scooter for 3 hours. What is the total cost of the rentals?
The Total cost of the bike and scooter
rental is $___
Answer: it’s 66 I got it right
Step-by-step explanation:
Answer:
The answer will be 66 !!
Step-by-step explanation:
The answer will be 66 because if you look at the chart you can see how much money is cost to rent a bike for each hour. So for Ari, as he rented a bike it costs 9 dollars per hour. So Ari rented the bike for 4 hours, so multiply 4x9=36. Now for Meg, she rented a scooter for 3 hours, each hour means 10$. Now 3x10=30, Then just add 36+30 you get 66!
determine if the function f(x)=3^(2x-3) is exponential
An exponential function gives a variable raised to the power of x, where the variable is a positive real number
Yes, [tex]\underline{f(x) = 3 ^{(2 \cdot x - 3)}}[/tex] is an exponential function
Reason:
An exponential function is a function that can be written in the form;
f(x) = eˣ
Where;
e = Euler's number, which is the number approximately 2.71828
In the general form, an exponential number is a number given in the form;
f(x) = a·bˣ
Where;
b = A positive real number
The given function; [tex]f(x) = 3 ^{(2 \cdot x - 3)} = \dfrac{3^{2\cdot x}}{3^3} = \dfrac{1}{27} \times 9^x[/tex] is an exponential function
Where;
a = [tex]\dfrac{1}{27}[/tex]b = 9Therefore, the correct response is; Yes, [tex]f(x) = 3 ^{(2 \cdot x - 3)}[/tex] is an exponential function
Learn more here:
https://brainly.com/question/17153778
Which of the following equations is equivalent to x + y = 10?
Answer:
x + y - 10 = 0
Step-by-step explanation:
x + y - 10 = 10 -10
Move the constant to the left by adding its opposite to both sides
x + y - 10 = 0
The sum of two opposites equals 0
x + y - 10 = 0
^
^
Solution
a technician charges 25$ per hour plus 50$ for a house call to repair home computers. make a table and a graph to show the cost for 1,2,3, and 4 hours of home computer repair service. is there a direct variation?
Answer:
75$
Step-by-step explanation:
because 25+50=75
Answer:
The graph starts at $75 since the price for call is $50 and 1 hour of work costs $25.
Direct variation is only noticeable at the beginning of the graph after that the function is linear.
Step-by-step explanation:
Write the given statement of the following theorem.
If one angle of a triangle is 90° , then the other two add to 90°.
Your brother is 1/5 your age. Your sister is 9 years older than your brother. Your sister is 11 years old. Write and solve an equation to find your age a.
Answer:
your age is 10 and your brothers age is 2 the equation is
Step-by-step explanation:
a=5b=b+9
the first part is how old you are the second is how old your brother is and the third is how old your sister
jake went on a road trip with his family this summer. On Monday, they drove 629 miles. Tuesday, they drove 215 miles. On Wednesday, they drove 111 miles. And, on Thursday, they drove 588 miles. what is the total number of miles that Jake's family traveled
What is a 20% tip on a $30 meal
What is 3. 9, 27, 81, 243 can someone plz help
Answer:
This is an exponent problem. 3 to the power of 4 or maybe 5
Step-by-step explanation:
Each number in this pattern is multiplied by 3