Answer:
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 25, \pi = \frac{12}{25} = 0.48[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 - 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.2842[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.48 + 1.96\sqrt{\frac{0.48*0.52}{25}} = 0.6758[/tex]
The 95% confidence interval to estimate the true proportion of evens rolled on a die is (0.2842, 0.6758). This means that we are 95% sure that for the entire population of dies, the true proportion of evens rolled on a die is between 0.2842 and 0.6758
what is ratio of the area of the larger pizza to the area of the smalles pizza ? 12 in to 18 in pizzas ?
Answer:
18/12= 1.5
Step-by-step explanation:
divide the larger inch by the smaller one so we get a ratio of 18:12
or 1.5:1
where the bigger one is 1.5 times larger for every inch of smaller pie
Subject:Mathematics
Help 39 point pic below Math
Step-by-step explanation:
Remember the Difference of Squares:
a² - b² = (a + b)(a - b)
Therefore (√20 - √3)(√20 + √3)
= (√20)² - (√3)² = 20 - 3 = 17. (C)
Round your answer to the nearest tenth.
Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
The point M is the centroid of the triangle.We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the
Which table does NOT represent a linear function?
Answer:
table 4 does NOT represent a linear functionStep-by-step explanation:
HOPE IT HELPS ❤❤❤❤❤Answer:
it's the one with 15,18,20,21
Step-by-step explanation:
Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant
Solve for x.
3x - 4
8
R.
T
S
2x + 9
what is the answer
HElp PLZ DUE RIGHT KNaw
Answer:
variables :)
Step-by-step explanation:
Answer:
[tex]....8. \to \: b) \: \: 3 \\......................9. \to \: c) \: coefficients \\............... 10. \to \: d) \: variables[/tex]
click to see the problem
Answer:
C is your correct answer i think
Step-by-step explanation:
Which is the better value?
A. 6 ounces of hot Cheetos for $2.16
B. 10 ounces of hot Cheetos for $2.70
Answer:
B
Step-by-step explanation:
2.16/6 = 0.36 cents per 1 ounce
2.70/10 = 0.27 center per 1 ounce
Therefore B. 10 ounces of hot Cheetos for $2.70
Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7
Answer:
[C] f(-3) = 11
Step-by-step explanation:
f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =11Help plz i hate this but everytime I do this I get it worng
Answer:
The answer is 19.25
Step-by-step explanation:
Key skills needed: Fraction operations, decimal conversion
1) We are given the hint to use 9 as "b", and we get:
---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]
Let's do [tex]\frac{16}{8}(9)[/tex]
--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]
16 divide by 8 is 2.
2) This means that it would be ---> [tex]2(9)[/tex] which is simply 2 times 9.
2 times 9 = 9 + 9 = 18
3) With that result, it would be ---> [tex]a = 18 + \frac{10}{8}[/tex]
Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8) ---> Get 1.25
4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer
Hope you understood and have a nice day!! :D
how is 1/5 changed to a decimal
Answer:
just divide 1/5 by 100 and you should get it
Step-by-step explanation:
I need help, my teacher didnt teach up this
Answer:
The volume is 1539.38
Step-by-step explanation:
Answer:
384.7 cubic inches
Step-by-step explanation:
formula to find Volume of a Cylinder:
V = π · r² · h
7 is the diameter, so r = 3.5
V = π (3.5)² · 10
V = π (12.25)(10)
V = π · 122.5
V ≈ 384.7 in³
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they
Answer:
35% off
Step-by-step explanation:
= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%
Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%
2.6 is a 35% decrease of 4.
Which statement about these triangles is true?
25 coins for someone who can answer these for me fast i need the help because i have work for other classes.
Answer:
1. 5%
2. 37.5% decrease
Does this table represent a proportional relationship?
A) Yes
B) No
PLEASE ANSWER QUICKLY!
Answer:
x = -9 Its B
Step-by-step explanation:
Because it can go both ways either + or -
Answer:
d
Step-by-step explanation:
b/c |-9|+10=19 |9|+10=19 |0|+10=10
Riley can dribble a basketball 50 times and 1/2 minute with her right hand and 30 times and 1/2 minute with her left hand what is the ratio of her right hand or left hand dribbling rate
Answer:
right 50:30 left
divide both sides by a common factor. (I've used 10 hcf)
right 5:3 left
what is the speed of a bowling ball that travels 100 meters in 5 seconds
can someone help pleaseee its due soon
Answer:
10
Step-by-step explanation:
Hey can yall help me with this question thank you
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
Determine whether the function is linear or nonlinear. Explain
helppppppppp
Answer:
A linear function follows a constant rate of change Here we see x moves by 4 units and that y decreases by 4 units then suddenly changes to 6 units hence 13 Is Not A functionFor 12, it is a function because it follows a consistent rate of change which is x or one unit of change.Answer:
12) The function is linear.
13) This function is not linear.
Step-by-step explanation:
13) A linear functions equation must be in y = mx + b form
When you graph the table there is no y = mx + b equation that makes a line that passes through all the points.
What expression -5+(-5r)+10
Plz Plz plzzzzzz answer
Answer:
c i think
Step-by-step explanation:
also i like anime to!
Answer:
c I think I might be wrong tho
CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
PLEASE HELP MEEEEEEE
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
Please Help Me
Find the premiter of the semi circle l. Round to the nearest hundredth ( use Pi key)
Answer:
circumference of a circle = πd
π12 = 37.6991118
37.6991118/2 = 18.8495559
18.8495559 + 12 = 30.8495559
perimeter = 30.85