Using the normal distribution and the central limit theorem, it is found that there is a 0.2033 = 20.33% probability that Becky’s proportion of poses held for over a minute is greater than Carla’s.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].For each sample, we have that:
[tex]p_B = 0.29, s_B = \sqrt{\frac{0.29(0.71)}{50}} = 0.046[/tex]
[tex]p_C = 0.35, s_C = \sqrt{\frac{0.35(0.65)}{50}} = 0.057[/tex]
For the distribution of the difference of the proportions of Becky and Carla, we have that:
[tex]\mu = p_B - p_C = 0.29 - 0.35 = 0.06[/tex]
[tex]s = \sqrt{s_B^2 + s_C^2} = \sqrt{0.046^2 + 0.057^2} = 0.073[/tex]
The probability that Becky’s proportion of poses held for over a minute is greater than Carla’s is the probability that the subtraction is above 0, that is, 1 subtracted by the p-value of Z when X = 0, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0 + 0.06}{0.073}[/tex]
[tex]Z = 0.82[/tex]
[tex]Z = 0.82[/tex] has a p-value of 0.7967.
1 - 0.7967 = 0.2033.
0.2033 = 20.33% probability that Becky’s proportion of poses held for over a minute is greater than Carla’s.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
help me please for this question
Answer: D. y= 15/x
Step-by-step explanation:
We have to test each explanation first, but I started with D because it is the most reasonable.
When you check the first column, you take 15 and divide it by 15. What do you get? 1.
1. X= 15 Y= 1 (15/15) = 1
When you check the second column, you take 15 and divide it by 5. What do you get? 3.
2. X= 5 Y= 3 (15/5) = 3
When you check the third column, you take 15 and divide it by 3. What do you get? 5.
3. X= 3 Y= 5 (15/3) = 5
When you use the fourth column, you take 15 and divide it by 1. What do you get? 15.
4. X= 1 Y= 15 (15/1) = 15
Since this all checks out, the answer is therefore correct.
*MAKE SURE TO READ IT CAREFULLY TO UNDERSTAND IT*
Round 30.59 to the nearest 1 decimal place
Answer:
30.6
Step-by-step explanation:
if the decimal previous is 5 or above, round it up
if the decimal previous is 4 or below, leave it as it is
Answer:
31
Step-by-step explanation:
Because since .9 is a big number it would round up 5 into a 6 so the 6 would round up 30 into 31
help anyone pls? don’t quite understand
solve each proportion. 6.6/p = 9/12.15
Answer:
59.4/ 82.5 = 9/12.5
Step-by-step explanation:
6.6/p = 9/12.15
A fraction equal with another fraction, so we can cross multiply to to have a multiplication equal another multiplication.
6.6 * 12.5 = 9* p
To isolate p (our unknown) we divide both sides by 9
( 6.6 * 12.5) /9 = (9* p)/ 9
( 6.6 * 12.5) /9 = p
82.5 / 9 = p
The proportion is:
6.6/p = 9/12.15, substitute p = 82.5 / 9
6.6/(82.5/9) = 9/12.15, use that: a / (b/c) = (a/1 )*(c/b) = (a*c) / b
(6.6*9)/82.5 = 9/12.5
59.4/ 82.5 = 9 /12.5
What is the area of a rectangle whose sides are 12 feet long and 5 feet wide?
Answer:
60
Step-by-step explanation:
Area of rectangle (A)=Length (L) × Width (W)
A=12×5
A=60
Question 7: Help Me Please
Answer:
m∠UQT = 52°
m∠UTQ = 42°
x = 1
Step-by-step explanation:
∠UQT is an alternate interior angle of ∠RSQ
Therefore, ∠UQT is 52°
∠UTQ is an alternate interior angle of ∠URS
Therefore, ∠UTQ is 42°
The diagonals of a parallelogram are congruent, so 4x + 1 is 5
-Chetan K
QS is the intersector
<UQT=<QSR(Alternative interior angles)=52°Similarly
<UTQ=<URS=42°Now
Diagonals of parallelogram bisect eachother
[tex]\\ \rm\Rrightarrow 4x+1=5[/tex]
[tex]\\ \rm\Rrightarrow 4x=4[/tex]
[tex]\\ \rm\Rrightarrow x=1[/tex]
For the function f(x) = —8x + 3, determine f(—2).
Answer:
here
Step-by-step explanation:
- i need a help ......
Answer:
magnitude of D = 36⁰
magnitude of E = 72⁰
magnitude of F = 72⁰
Select all of the solutions to the following inequality. 4x+6 > 3x-9
-8
-15
0
-18
2
-10
15
-22
Answer: -8, 0. 2, -10, 15
Step-by-step explanation:
4x+6 > 3x-9
x + 6 > -9
x > -15
So the answers are -8, 0. 2, -10, 15.
Combine the like terms to create an equivalent expression. (6e−3f−4)⋅2
Answer:
here is your answer
if you will not like then you are ehsanfaramosh
Write the fraction as a sum of unit fractions. 6/12=
Answer:
This is the answer: 1/2
Step-by-step explanation:
hope this helps
Triangle A"B"C"is the image of triangle ABC after a sequence of
transformations. Which sequence of transformations could have been
applied?
A. AABC is translated 2 units right, then rotated 90° clockwise about
the origin
B. AABC is translated 2 units right, then rotated 90° clockwise about
the origin
C. AABC is translated 1 unit down, then rotated 90° clockwise about
the origin
D. AABC is translated 1 unit right, then rotated 90° clockwise about
the origin
The answer is D) AABC is translated 1 unit right, then rotated 90° clockwise about the origin
Step-by-step explanation:If you follow the steps translating triangle ABC to A"B"C" and rotating it. You will get that answer. I can envision it mentally simply by following one coordinate at a time which can help me during tests and is how the translations work.
For instance if you moved the A coordinate 2 units to the right it would sit on the y axis, and when rotated 90 degrees wouldn't 1 unit above the x axis but on it. You can simply use mental math for questions like this because they are simple enough to follow where you just pick a coordinate and do the translating and dilating based on what you are given.
Sorry if it's not a mathematical explanation but it's how I usually solve these questions! Hope I could help!!
~Neo
The Sequence of Transformation that has been applied is; D. AABC is translated 1 unit right, then rotated 90° clockwise about the origin.
How to work with Translation Rotations?From triangle translation of ABC to A"B"C" and rotation of it, we can see that;
If we moved the A coordinate 2 units to the right it would sit on the y axis, but when rotated 90°, it would be 1 unit on the x axis.
Thus, applying the principe of translation and rotation we can say that AABC is translated 1 unit right, then rotated 90° clockwise about
the origin.
Read more about Translation and Rotation at; https://brainly.com/question/5612016
#SPJ5
If you jump rope 192 times in 6 minutes - how many times do you jump in 1 minute?
Answer:
you jump 32 times in one minute
Step-by-step explanation:
192 ÷ 6 = 32
Answer:
32 times in one minute.
Step-by-step explanation:
192/6 = 32
find the lateral area of the square pyramid.
please help ill mark as brainlest!
Jamie left a 15% tip for a $49 meal. How much did Jamie pay for the meal and the tip together?
Answer:
$56.35
Step-by-step explanation:
Ok so heres how I got through this in school. Take the 49 and divide it by the 100 meaning 100 percent. You take the 0.49 times the 15 percent to get 7.35. Lastly, you add the 49 dollars and the 7.35 together to get 56.35.
Find each percent decrease. Round to the nearest percent.
6. From 100 ounces to 25 ounces
Answer:
-75%
Step-by-step explanation:
((y2 - y1) / y1)*100 = your percentage change
(where y1=start value and y2=end value)
((25 - 100) / 100) * 100 = -75 %
Write 4.83…. (The 3 repeats infinitely)as a mixed number
Answer:
[tex]4\frac56[/tex]
Step-by-step explanation:
[tex]\frac56=0.8 \dot{3}[/tex]
[tex]\implies 4.8 \dot{3}=4\frac56[/tex]
4 5/6 if you need more answers go to decimal converts fractions and you will have it on your own
have a wonderful day
Hailey lee
PLEASE I NEED HELP QUICKLY!!! Find the solution for the given system of equations in the form (x,y). -x+y=8 7x+3y=-6
Answer:
The answer D is correct.
Step-by-step explanation:
-x + y = 8 ⇒ ( 1 )
7x + 3y = - 16 ⇒ ( 2 )
y = 8 + x ⇒ ( 3 )
Let us take equation 2 and let us replace y with (8+x).
Let us solve and find the value of x.
7x + 3y = -16
7x + 3 ( 8 + x ) = - 16
7x + 24 + 3x = -16
10x + 24 = -16
10x = -16 - 24
10x = -40
x = (-4)And now let us find the value of y.
For that, let us use equation (3)
Here, we have to replace x with -4 to find the value of y.
y = 8 + x
y = 8 - 4
y = 4Now we have to the answers in the form ( x , y )
Let us write.
( x , y ) ⇒ ( -4 , 4 )
Let me know if you have any other questions. :-)
Factor h^2-17h+70=0
Help me
Complete.
A rectangular tank shown is filled with water to À of its height
Water from a tap flows into the tank at 2.5 liters a minute.
How much water is in the tank after 5 minutes?
Give your answer in liters. (1 L = 1000 cm)
Volume of water in the tank
30 cm
Х
Х
Х
3
cmº
28 cm
45 cm
Х
L
Volume of water from the tap =
=
L
Volume of water in the tank =
liters of water is in the tank after 5 minutes.
293
Lesson 15.5 Volume of a Rectangular Prism and Liquid
Answer:
50cm had a good day at work and
Which is the least
Pleas help ?!
Answer:
0.35
Step-by-step explanation:
Answer: 12/50
Step-by-step explanation: convert all of them to decimals.
Solve
a cylinder of radius r cm and height h cm has a curved surface area A cm[tex] {}^{2} [/tex], where[tex]A = 2\pi rh.[/tex]
a) obtain a formula for h
b) find the value of h when A = 93 ,R = 2.5 and [tex]\pi[/tex]= 3.1
Answer:
(a) h = A/2πr
(b) 360.375
Step-by-step explanation:
(a) divide both sides by 2πr
h = A/2πr
(b) h= 93 / 2*3.1*2.5
= 360.375
If f(x) = ax + c and f(3) = f(8), then a =
Answer:
Is there any information in what the value of c is
On a coordinate plane, point A is 2 units to the left and 5 units up. Point B is 5 units to the right and 5 units up.
What is the distance between the points?
Point A is located at the point
.
Point B is located at the point
.
The distance between the points is
units.
Answer:
I don't know i have no answer too
Step-by-step explanation:
Sorry again i need answer too
Answer:
b d d
Step-by-step explanation: i did it on edge
Use cross products to solve the proportion.
14/21=a/9
Answer:
[tex]\sf\boxed{a=6}}}[/tex]
Step-by-step explanation:
Isolate the term of a from one side of the equation.
14/21=a/9
Use cross products.
[tex]\sf{14*9=21*a}[/tex]
Solve by a.
[tex]A=\dfrac{14*9}{21}=\dfrac{126}{21}=\boxed{\sf{6}}[/tex]
a=6
So, the final answer is a=6.
I hope this helps! Let me know if my answer is wrong or not.
2. Mary's pet gerbil is 1/3 of a foot long. How many inches long is the gerbil?
A. 6 inches
B. 3 inches
C. 5 inches
D. 4 inches
What is the answer!!!!!
Answer:
4 is the answer
Step-by-step explanation:
I hope this helps
x decreased by 50 % and then increased by 50%
which number is heater and by how much
Answer:
baddie uwu
Step-by-step explanation:
harder daddy harder
What is the exact value of cos(-60)?
-sqrt(3)/2
-1/2
1/2
sqrt(3)/2
Answer:
1/2
Step-by-step explanation:
Look for the angle of -60, you will see the coordinate (1/2,-sqrt3/2)
The cosine function is the x value of each coordinate of the unit circle
Let me know in the comments if you have any questions! If you could mark this answer as the brainliest I would greatly appreciate it! :D
Answer:
Step-by-step explanation:
c 1/2
You have to be at your job by 9 a.m. every morning. If it takes you 15 minutes to
walk to the bus stop , 30 minutes to get to your job, and 5 minutes to walk in and
check in, What time would you leave home?
Answer:
8:10am
Step-by-step explanation:
You have to leave home because it takes you 15 minutes to walk to the bus stop so that will be 8:25am
takes you half an hour to get to job 8:55am
then 5 minutes to check in and you will be on time
Answer 8:10am
Is -11 greater or less than 0
Answer:
less than.
Step-by-step explanation:
Any negative number is less than 0
