Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean
A. Each member visits the fitness center 3 or 4 days per week.
B. The average number of days that each member visits the fitness center is 3.12 days per week.
C. Half the members visit the fitness center 3 days per week or less, and the other half 4 days per week or more.
D. The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
E. For a random sample of members selected from the population, the average number of visits for the sample will be 3.12 days per week.
Answer: D
Step-by-step explanation:
The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Let the random variable X represent the number of days per week that a member visits.
The mean of X is 3.12.
This mean describes that on an average 3.12 day in a week members visit the fitness center, it implies that the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
Thus, the long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week. Option D is correct.
Learn more about mean here:
https://brainly.com/question/15397049
#SPJ2
Find the value of x.
Answer:
Value of [tex]x=-12[/tex]
Step-by-step explanation:
The given triangle is isosceles
Here
[tex]m\angle2+m\angle2+36^0=180^0\\\\2m\angle2=144^0\\\\m\angle2=72^0\\\\x+84=72\\\\x=72-84\\\\=-12[/tex]
[tex]m∠2+m∠2+36⁰= 180°[/tex]
[tex]2m∠2 = 144°[/tex]
[tex]m∠2 = 72⁰[/tex]
[tex]x +84 = 72[/tex]
[tex]x = 72 - 84[/tex]
[tex]x= -12[/tex]
The 20th term of the number sequence is 50
Write down the 21st term of the number sequence.
I hope this help too.
Answer:-
The linear sequence 27, 25, 23, 21, 19... is an arithmetic progression with (-2) as the common difference.
The nth term of an arithmetic progression is an=a1+(n−1)da_n=a_1+(n-1)dan=a1+(n−1)d, where ana_nan is the nth term, a1a_1a1 is the first term, d is the common difference.
In our case, n=50,a1=27,d=−2n=50, a_1=27, d=-2n=50,a1=27,d=−2 , hence, we get
a50=27+49⋅(−2);a50=27−98=−71.a_{50}=27+49\cdot(-2);\\ a_{50}= 27-98=-71. a50=27+49⋅(−2);a50=27−98=−71.
The 50th term of this sequence is (-71).
an auto dealership got a new shipment of 33 cars. Of these, two are red , 6-cylinder 4 door sedans; one is a red 4-door, but not a 6-cylinder sedan. There are four 6-cylinder 4-door sedans that are not red, and three red 6-cylinder sedans that are not 4-door sedans. Altogether, 19 of the 33 cars are 6-cylinder sedans and 12 of the 33 are 4-door sedans. How many of the 33 cars are red but neither 6-cylinder nor 4-door sedans?
Answer:
2
Step-by-step explanation:
If you take 19 6-cylinder sedans and add 12 4-door sedans you get 31, therefore making 2 red and neither 6-cylinder nor 4-door sedans. Hope this helps!
a store pays $60 for the shoes and sells them for $90. What is the percent markup
Please help me Find the slope please no links or bots please and thank you please actually help me please
What is the value of x + y for the system of equations y= 2x - 2 and y= 4x + 6?
Answer:
x= -1
y= 2
Step-by-step explanation:
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2
y-intercept = 2/1 = 2
When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x= -1
x-intercept = 2/-2 = 1/-1 = -1
HELP PLZZ!! ill give brainlist
Answer:
Step-by-step explanation:
The spinner should land on whatever color 25% of the time.
25% of 20 = 25/100 * 20 = 500/100 = 5
So the correct answer is the number of times the spinner lands on a color 5 times. Only white does that. All the other colors either go above 5 or below it.
Answer:
White
Step-by-step explanation:
to find the theoretical probability, you just divide the number of times you spin it, which is 20, by how many equal sides the spinner has which is 4.
So therefore you'll do:
20 ÷ 4 = 5
So since that is the same probability as white, the answer is white.
Solve for C: 20 (greater than or equal too sign) C-11
Answer:
C (is greater than it equal to) 31
Step-by-step explanation:
Isolate the c by adding 11 to both sides (cancels out the 11 and turns 20 into 31). Keep the sign the same!! Hope this helped! <33
Please help guys this is just domain and range
Answer:
domain: x>=0
range: y>=1
Step-by-step explanation:
domain: x>=0
range: y>=1
Solve the system of equations 4x – 5y = –6 and -6x + 7y = 12 by
combining the equations.
Answer:
x=-9, y=-6. (-9, -6).
Step-by-step explanation:
4x-5y=-6
-6x+7y=12
----------------
6(4x-5y)=6(-6)
4(-6x+7y)=4(12)
-----------------------
24x-30y=-36
-24x+28y=48
-----------------------
-2y=12
y=12/-2
y=-6
4x-5(-6)=-6
4x+30=-6
4x=-6-30
4x=-36
x=-36/4
x=-9
Trevor is fishing from a small boat. His fishing hook is 8 meters below him, and a fish is swimming at the same depth as the hook, 5 meters away. How far away is Trevor from the fish? If necessary, round to the nearest tenth.
A ray from Trevor to the fish is the hypotenuse side of a right triangle with
vertices at Trevor's position, the hook and the fish.
The distance from Trevor to the fish is approximately 9.4 meters.Reasons:
The distance of the hook below Trevor, y = 8 meters
The horizontal distance of the fish from the hook, x = 5 meters
Required:
The distance of the fish from Trevor
Solution:
A line drawn from Trevor's position to the fish, h, then to the hook, x, and
then to Trevor, y, forms a right triangle with the distance from Trevor to the
fish being the hypotenuse side, h.
Therefore, by Pythagorean theorem, we have;
h² = y² + x²Which gives;
h² = 8² + 5²
h = √(8² + 5²) = √(89 ≈ 9.4
The distance from Trevor to the fish given to the nearest tenth , d ≈ 9.4 meters
Learn more about Pythagorean theorem here:
https://brainly.com/question/18206420
find the value of 40% of 1KM (in m)
Answer:
400m
Step-by-step explanation:
40% of some quantity = 0.4 times the quantity
We also know 1 km = 1000 m, therefore: 40% of 1000m = 0.4 * 1000m = 400m.
40% of 1 km in meters is 400 meters
What is percentage :Percentage simply means per 100. Percentage can be express as decimal or fraction.
For example 25% of 80 can be found as follows:
25 / 100 × 80 = 2000 / 100 = 20From the example, 25% of 80 is 20 .
Therefore, 40% of 1 km(m) can be found as follows:
Let's convert km to metres.
1000m = 1km
40% of 1000
40 / 100 × 1000 = 40000 / 100 = 400metres
Therefore, 40% of 1 km in meters is 400 meters
learn more on percentage here: https://brainly.com/question/19540991?referrer=searchResults
Foster needs to divide a plot of land covering 538 acres into plots covering 34 acre each. How many whole plots can he make?
Given that the total amount of land in acres is 538
The problem statements requires us to divide the total amount of land into 34 places, the number of whole parts is 15 acres
Mathematically we have
538/34 = 15.823
But we are required to return the whole parts, therefore, let us ignore the values that comes after the decimal point. we have 15
Learn more about division of numbers:
https://brainly.com/question/17220365
PLEASE SOLVE ALL W STEPS WORTH 30 PTS
Answer:
Step-by-step explanation:
I'll leave you to round
7.)
x= amount invested at time 0
[tex]x*e^{18*.07}=25000\\x=7091.35066249[/tex]
8.)
[tex]7091.35066249(1+\frac{.045}{4})^{4*36}=35510.594803[/tex]
8b.)
In the first investment we had a yield of: 25000-7091.35=17908.65
In the second investment we had a yield of: 35510.5948-7091.35=28419.24
While it may seem like the second investment had the higher return (because it had the higher yield) the first one has the highest yield because it's being compounded more often and at a higher rate
what is 18 1/5 -7 3/5 as a mixed number in simplest form
Answer:
53/5
Step-by-step explanation:
I hope this helps u.
Mark me as brainliest.
Solve the system of equations by graphing.
y = 3x - 2
x + y = 6
✺༒Question༒✺
Refer to attachment
Nonsense answer will get report
Answer:
REFER TO ATTACHMENT.
I HOPE IT IS HELPFULFind the roots of the equation
x^2 +7= 2x
express your answer in simplest a +bi form
[tex]x^2+7=2x\\\\\implies x^2 -2x +7 =0\\\\\text{Apply quadratic formula,}~ x =\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}\\\\\text{in this case,}~ a = 1, b= -2 ~\text{and}~ c = 7\\\\\\x= \dfrac{-(-2) \pm \sqrt{(-2)^2 -4\cdot 1 \cdot 7}}{2\cdot 1}\\\\\\\implies x =\dfrac{2 \pm \sqrt{-24}}{2}\\\\\\\implies x = \dfrac{2 \pm i\sqrt{24}}2\\\\\implies x =\dfrac{2 \pm i2\sqrt{6}}2\\\\\implies x = \dfrac{2\left(1 \pm i \sqrt 6\right)}2\\\\\implies x = 1 \pm i\sqrt 6\\\\[/tex]
[tex]\text{Hence,}~ x = 1-i\sqrt 6 ~\text{or}~ x = 1+i\sqrt 6[/tex]
Please help I’ll give brainliest ASAP
Answer:
x = 10, theta = 30 degrees
Step-by-step explanation:
i. 6^2 + 8^2 = x^2
36 + 64 = x^2
100 = x^2
10 = x
ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.
You could also solve it with the law of sines:
sin(90)/12 = sin(x)/6
Multiply each side by 6
6 * sin(90)/12 = sin(x)
0.5 = sin(x)
x = 30 degrees
The neon lights on the dance club sign blink 240 times in 2 minutes. How many times does the neon sign blink in 10 minutes?
Answer:
1200 times in 10 minutes.
Step-by-step explanation:
There's 5 amounts of 2 minutes in 10.
Therefore multiply 240 by 5.
24 x 5 = 120 x 10 = 1200 times.
Answer:
If it blinks 240 times in 2 minutes, then you need to multiply 240 and 5. My work is shown below...
2 = 240
2 x 5 = 10
5 x 240 = 1200
This means the neon sign blinks 1200 times every 10 minutes.
Step-by-step explanation:
Have a great day and please mark brainliest!
The value of X is units in length.
Answer:
x=17.5 we do that 5*3.5 =17.5
Determine the intercepts of the line.
Step-by-step explanation:
The x-intercept is the value of x when y is 0
So you need to substitute:
0 = 4x + 7
-7 = 4x
-7/4 = x
(-7/4,0)
Similarly, the y-intercept is the value of y when x is 0
So:
y = 4x + 7
y = 4(0) + 7
y = 7
(0,7)
Four students, Adrian, Claire, Jackson, and Wyatt, line up one behind the other. How many different ways can they stand in line?
Answer:
8
Step-by-step explanation:
4*3*2*1 i had the same problem
The number of different ways the students can stand in line is A = 24 ways
What are Permutations?A permutation is an ordered arrangement.
The number of ordered arrangements of r objects taken from n unlike objects is:
Permutation ⁿPr = n! / ( n - r )!
Given data ,
Let the number of different ways the students can stand in line be A
Now , There are 4 students to choose from for the first position in the line, then 3 remaining students for the second position, 2 remaining students for the third position, and only 1 student left for the last position.
Therefore, there are
4 × 3 × 2 × 1 = 24 different ways for the students to stand in line
Therefore , the value of A = 24 ways
Hence , the students have 24 ways to stand in line
To learn more about permutation click :
https://brainly.com/question/1216161
#SPJ3
guys please (number 3)
Answer:
500 < c < 1,700
Step-by-step explanation:
In May, Ali was charging
$20 for individual
basketball lessons and in
August started charging
$25. What percent did
she increase her prices?
Answer:
25%
Step-by-step explanation:
25 - 20 = 5
20/4 = 5
100 / 4 = 25
Answer:
20+25%=25% Ali Has increased 25%
One number exceed another by 11, the sum of the two numbers is 5. What are the numbers?
Answer:
The first number is -3, the second number is 8
Step-by-step explanation
Let x = the first number
exceeded means add, so the second number is x+11
sum means add, so the equation is x+x+11=5
combine like terms to get 2x+11=5
subtract 11 on both sides, 2x=-6
divide by 2 on both sides, x= -3
second number was x+11, so -3+11 = 8
Which geometric series converges? StartFraction 1 Over 81 EndFraction StartFraction 1 Over 27 EndFraction one-ninth one-third ellipsis 1 one-half one-fourth one-eighth ellipsis Sigma-Summation Underscript n = 1 Overscript infinity EndScripts 7 (negative 4) Superscript n minus 1 Sigma-Summation Underscript n = 1 Overscript infinity EndScripts one-fifth (2) Superscript n minus 1.
The geometric series that converges from the listed option is [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex] Option B is correct.
The nth term of a geometric sequence is expressed as;
[tex]a_n=ar^{n-1}[/tex]
a is the first term of the sequencer is the common ration is the number of terms.For a geometric sequence to converge, the modulus of its common ratio must be less than 1 (|r| < 1), otherwise, it diverges.
For the first series given as [tex]\frac{1}{81} + \frac{1}{27} +\frac{1}{9} +\frac{1}{3}+ ,...[/tex]
[tex]r = \frac{1}{27} \div \frac{1}{81}\\r=\frac{1}{27} \times 81\\r=\frac{81}{27} \\r=3 > 1[/tex]
Since the common ratio of the sequence is greater than 1, hence the series diverges.
For the series [tex]1+\frac{1}{2} + \frac{1}{4} +\frac{1}{8} ,...[/tex]
[tex]r=\frac{1/2}{1} =\frac{1/4}{1/2} = \frac{1}{2}[/tex]
Since the common ratio of the sequence is less than 1, hence the series converges.
Learn more on convergence of series here: https://brainly.com/question/14294471
the graph of linear function g is shown on the grid
what is the zero of g
-6
-9
0
-5
Answer:
Option A, - 6
Step-by-step explanation:
The zero of a function is the value on the x-axis when y is 0
Answer:
the answer is -9
Step-by-step explanation:
the answer is -9 becaise
One of the two solutions to the equation $5x^2 - 11x - 36 = 0$ is $x = 4$. What is the other solution?
the other solution is[tex]\frac{-9}{5}[/tex]
Answer:
Solution given:
[tex]5x^2 -11x-36=0[/tex]
doing middle term factorization
we need to get 11 by subtracting product of 5 and 36.
5*36=180=2*2*3*3*5
we get 11 by subtracting 5*2*2-3*3=20-9
substituting value of 11 as (20-9)
now
[tex]5x^2 -(20-9)x-36=0[/tex]open bracket
[tex]5x^2 -20x+9x-36=0[/tex]
taking common from each two terms
5x(x-4)+9(x-4)=0
again taking common
(x-4)(5x+9)=0
either
x-4=0
x=4
or
5x+9=0
5x=-9
x=[tex]\frac{-9}{5}[/tex]
Step-by-step explanation:
Following are the calculation to the given equation:
Given:
[tex]\to 5x^2 - 11x - 36 = 0[/tex]
one solution:
[tex]x=4[/tex]
To find:
other solution=?
Solution:
[tex]\to 5x^2 - 11x - 36 = 0\\\\\to 5x^2 - (20-9)x - 36 = 0\\\\\to 5x^2 - 20x+9x - 36 = 0\\\\\to 5x(x - 4)+9(x - 4) = 0\\\\\to (x - 4) (5x+9) = 0\\\\\to x - 4=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x+9 = 0\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5x = -9\\\\\to x = 4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = \frac{-9}{5}\\[/tex]
Therefore, another solution is "[tex]-\frac{9}{5}[/tex]".
Learn more:
brainly.com/question/3044722