Answer:
0.8186
Step-by-step explanation:
The formula to use to solve this question is given as:
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
P(z < (x-μ)/σ/√n)
(x-μ) = 1.6 watts
σ = 10 watts
n = 32 amplifiers
Hence,
P(z < 1.6/10/√32)
P(z < 1.6/1.767766953)
P(z < 0.9050966799)
Approximately to 2 decimal places)
P(z < 0.91)
= 0.81859
Rounded to four decimal places, the probability that the mean of the sample would differ from the population mean by less than 1.6 watts is 0.8186.
6th grade math I mark as brainliest
Answer:
1, 2, and 5
Step-by-step explanation:
Oxford, MS, has the highest elevation
Death Valley, CA, has the lowest elevation
The elevation of New Orleans, LA, is at sea level
KOT
2
1013
67
Motorcycle
Walking100
a) How many students ride in a tricycle, motorcycle and car going to their school
b) How many students ride in both a motorcycle and a tricycle?
c) How many students ride in both a motorcycle and a car?
d) How many students ride in both a car and tricycle?
e.)How many students go to school
in a car only;
in a motorcycle only;
30
Answer:
a. 15 students
b. 32 students
c. 35 students
d. 34 students
e. 55 students
f. 67 students
Step-by-step explanation:
See attachment for complete question
Solving (a): Tricycle, Motorcycle and Car
This is the intersection of Tricycle, Motorcycle and Car.
From the attached Venn diagram, there are 15 students in this category
Solving (b): Tricycle and Motorcycle.
This is the intersection of Tricycle and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Tricycle\ and\ Motorcycle\ only =17[/tex]
[tex]All = 15[/tex]
[tex]Tricycle\ and\ Motorcycle = All + Tricycle\ and\ Motorcycle\ only[/tex]
[tex]Tricycle\ and\ Motorcycle = 15 + 17[/tex]
[tex]Tricycle\ and\ Motorcycle = 32[/tex]
Solving (c): Car and Motorcycle.
This is the intersection of Car and Motorcycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Motorcycle\ only = 20[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Motorcycle = All + Car\ and\ Motorcycle\ only[/tex]
[tex]Car\ and\ Motorcycle = 15 + 20[/tex]
[tex]Car\ and\ Motorcycle = 35[/tex]
Solving (d): Car and Tricycle.
This is the intersection of Car and Tricycle.
From the attached Venn diagram, we observe the following data:
[tex]Car\ and\ Tricycle\ only = 19[/tex]
[tex]All = 15[/tex]
So:
[tex]Car\ and\ Tricycle = All + Car\ and\ Tricycle\ only[/tex]
[tex]Car\ and\ Tricycle = 15 + 19[/tex]
[tex]Car\ and\ Tricycle = 34[/tex]
Solving (e): Car only
From the attached Venn diagram, we observe the following data:
[tex]Car\ only = 55[/tex]
Solving (e): Motorcycle only
From the attached Venn diagram, we observe the following data:
[tex]Motorcycle\ only = 67[/tex]
Calculate the UCL and LCL for a mean chart. Assume the standard deviation is unknown. Round to 1 decimal.
Answer and explanation:
Please find answer and explanation attached
This polynomial is in descending order for the variable x.
Answer:
False. It's not in the descending order for variable x.
Step-by-step explanation:
Given polynomial is,
-15x⁵y + 13x²y⁴ - x⁸
'x' is a variable in the given polynomial.
Order or degree of term x⁸ = 8
Order of term -15x⁵y = 5
Order of term 13x²y⁴ = 2
Descending order for the variable x will be,
8 > 5 > 2
So the descending order for the variable 'x' will be,
-x⁸ - 15x⁴y + 13x²y⁴
Therefore, Option (1) False is the correct option.
-9(-2x-3) simplified
Answer:
18x +27
Step-by-step explanation:
-9(-2x-3)
Distribute
-9 * -2x -9*(-3)
18x +27
ava rents the snowboard for 4 days . Lucia rents the boots for 5 days . What is the total cost of the rentals ?
whatever how much the money is for one day on the object just multiply the money by the days it's rented out and add together the snowboard total and the boots total
Answer:
358
Step-by-step explanation:
is this a keep, change, change?
-9-8
Answer:
umm i think so
Step-by-step explanation:
Y=3x+10 slope and y intercept
Answer:
The slope is 3 and the y-intercept is 10
Step-by-step explanation:
Answer:
Slope: 3
y-intercept: ( 0 , 10)
Step-by-step explanation:
y=mx+b
y=3x+10
Hope this Helps!!!
Mark reeds 42 pages of a book every 3/4 of an hour write an equation that models the relationship between Z, the number of hours mark reads, NY, the number of pages of the book He reads
Answer:
The equation that models the relationship between Z and N is N = 56 Z
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the rate ⇒ slopeb is the initial amount ⇒ y-intercept∵ Mark reads 42 pages of a book every [tex]\frac{3}{4}[/tex] of an hour
→ Find his rate per hour by dividing the number of pages by its time
∴ His rate of reading = 42 ÷ [tex]\frac{3}{4}[/tex] = 42 × [tex]\frac{4}{3}[/tex] = 56 pages per hour
∵ His rate = 56 pages/hour
∴ m = 56
∵ Z represents the number of hours Mark reads
→ That means replace x in the form of the equation above with Z
∵ N represents the number of pages of the book he reads
→ That means replace y in the form of the equation above with N
∴ N = 56 Z + b
∵ There is no initial amount of reading
∴ b = 0
∴ N = 56 Z
The equation that models the relationship between Z and N is N = 56 Z
A.(-2,3)
B.(-2,-3)
C.(2,3)
D.(4,3)
What is the ratio of the area ABC to the area of ABD?
Answer:
t is 9/16
Step-by-step explanation:
Answer:
9/16
Step-by-step explanation:
i need an answer help !
a hill rises 10 meters over horizontal distance of 8 meters
calculate the slope
Answer:
Slope = 5/4
Step-by-step explanation:
GCF of 10 and 8 is 2, divide both values by two and have the 10 as the rise and 8 as the run.
Shen is on the swim team. Each week he swims a total of 5000 meters. How many kilometers does he swim each week?
Be sure to include the correct unit in your answer.
Answer:
5 km
Step-by-step explanation:
to convert m to km you have to divide by 1000.
5000/1000=5
hope this helps!
If a, b and c are positive integers for which (a,b,c) is the only
ordered triple such that 6a +9b + 20c = 61, then what is
a+b+c?
If a, b, and c are all positive integers and 6a + 9b + 20c = 61, then right away you know c < 3, because if c = 3, then 20c = 60, and there are no solutions for a and b.
So consider two cases:
• If c = 2, then we're left with 6a + 9b = 21.
• If c = 1, then 6a + 9b = 41.
We have gcd(6, 9) = 3, but 41 is prime and 3 does not divide 41. So we throw out the second case.
This leaves us with 6a + 9b = 21. Notice that if a = b = 1, then 6a + 9b = 15. Add 6 to both sides to get 21. So a = 2, b = 1, and c = 2, and hence a + b + c = 5.
MATH what is 9x1 9x2 9x3 9x4 9x5 9x6 9x7 9x8 9x9 9x10
EASY MATH 10 POINT
Answer:
9
18
27
36
45
54
63
72
81
90
Step-by-step explanation:
I just take the last numer of the times 9 and subtract 1 and put whatever equals 9.
example 9x7=63
7-1=6+3 so 63
Sorry if it does not make sense
Find the midpoint of the line segment joining the points R(3,3) and S(-2,6).
Answer: 2,9
(3,3) & (-2,6) midpoints
Answer:
(0.5,4.5)
Step-by-step explanation:
Use the midpoint formula to find the answer: ((x1+x2/2),(y1+y2/2))
((3-2/2),(3+6/2))
((1/2),(9/2))
(0.5,4.5)
The ratio of boys to girls in homeroom is 2:3. If there are 8 boys, how many girls are there? Do not include units.
Answer:
12 girls =)
Step-by-step explanation:
Make a table labeled girls and boys like this
2|3
4|6
6|9
8|12
Multiply until you get to 8 boys
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer:
-3.21
Step-by-step explanation:
If you pay close attention the numbers are 5 points away from each other, so after -3.2 is -3.21! Hope that helped love :)
What is the value of a?
a–2=3+6a3
Enter your answer in the box.
That's what I got, not sure if it was what you were looking for.
Answer:
-5
Step-by-step explanation:
Is the Answer
At a wedding, guests have cone shaped containers to hold flower petals to throw on the bride and groom as they leave. The cones have a radius of 5 cm and height of 10 centimeters. If there are 150 cones, what is the total volume, that all the cones will hold?
The total volume of the 150 cones is:
Total volume = 39,270 cm³
What is the total volume, that all the cones will hold?We know that the volume of a cone of radius R and height H is given by the formula:
V = (1/3)*pi*R²*H
Where pi = 3.1415...
Here we know that the radius of the cone is 5cm and the height is 10cm, then:
R = 5cm
H = 10cm
We can replace these values to get:
V = (1/3)*3.1415*(5cm)²*10cm
The volume of the cone will be:
V = 261.8 cm³
And there are 150 of these cones, so the total volume is 150 times the above one:
Total volume = 150*261.8 cm³ = 39,270 cm³
Learn more about volume at:
https://brainly.com/question/1972490
#SPJ1
From their location in the diagram, what are two possible values for n and m?
Answer:
n=7/5 m= 5
Step-by-step explanation:
The approximate z-score that corresponds to a right tail area of 0.45 is?
Answer: 0.1257
Step-by-step explanation:
Let [tex]z_0[/tex] be the z-score that corresponds to a right tail area of 0.45.
We need to find [tex]z_0[/tex] such that [tex]P(z>z_0)=0.45[/tex]
From the z-score table, z-value corresponds for area of 0.45 is 0.1257.
That means [tex]z_0=0.1257[/tex]
Hence, the approximate z-score that corresponds to a right tail area of 0.45 is 0.1257 .
PLS I NEED THIS ASAP 100 POINT ---------The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon? 100 POINTS
Answer:
12%
Step-by-step explanation:
You never gave any numbers than 12% and you asked how much the commission would be...
If he gets 12% commission then he would have to pay 12% commission.
-167-(-12)=
answer it idk
Answer:
155
Step-by-step explanation:
All you do is subtract negetive 167 and take -12 away from 167.
In? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For? example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is? 3, the odds of winning are 2:3(Note; if the odds of winning are 2/3, the propability of sucess is2/5)
The odds of event occuring are 1:6. Find (a) the propability that the event will occur,(b) propability that the event will not occur.
(a)The propability that event will occur is....(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED.)
(b)The propability thet the event will not occur is...(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED)
Answer:
A) The probability that the event will occur[tex]=\frac{1}{7}[/tex]
B)The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
We are given that The odds of event occurring are 1:6.
So, Number of successful events = 1
Number of unsuccessful events = 6
So, Total events = 6+1=7
a)the probability that the event will occur=[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will occur[tex]=\frac{1}{7}[/tex]
b)The probability that the event will not occur =[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
What is the value of the expression -7+-4
Answer:
-11
Step-by-step explanation:
This is the answer because:
1) First, multiply the negative sign with the positive sign.
Negative x Positive = Negative
Equation: -7 - 4
2) Now, multiply the negative sign with the negative sign.
Negative x Negative = Positive
Equation: 7 + 4 = 11
3) Finally, add the greater number's sign (-7) in front of the number.
-11
Hope this helps! :D
Which one is right i need this fast
Answer:
The answer for the question is A, D and E
Answer:
a.
Step-by-step explanation:
is b because is answer is b thank you
A club has 30 members is formed from 12 democrats and 18 republicans. How many different committees consisting of 8 democrats
and 8 republicans are possible to be formed?
Given:
Total number of members = 30
Number of democrats = 12
Number of republicans = 18
To find:
Number of different committees consisting of 8 democrats and 8 republicans are possible to be formed.
Solution:
Total number of ways to selecting 8 democrats from 12 democrats is
[tex]^{12}C_8=\dfrac{12!}{8!(12-8)!}[/tex]
[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9\times 8!}{8!4!}[/tex]
[tex]^{12}C_8=\dfrac{12\times 11\times 10\times 9}{4\times 3\times 2\times 1}[/tex]
[tex]^{12}C_8=495[/tex]
Total number of ways to selecting 8 republicans from 18 republicans is
[tex]^{18}C_8=\dfrac{18!}{8!(18-8)!}[/tex]
[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11\times 10!}{8!10!}[/tex]
[tex]^{18}C_8=\dfrac{18\times 17\times 16\times 15\times 14\times 13\times 12\times 11}{8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}[/tex]
[tex]^{18}C_8=43758[/tex]
Now, number of different committees consisting of 8 democrats and 8 republicans are possible to be formed is
[tex]^{12}C_8\times ^{18}C_8=495\times 43758[/tex]
[tex]^{12}C_8\times ^{18}C_8=21660210[/tex]
Therefore, the total possible ways are 21660210.
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.