Solution :
Here, [tex]$ \hat p$[/tex] = sample proportion of red outcomes
[tex]$ \hat p =\frac{58}{100}$[/tex]
[tex]$ \hat p$[/tex] = 0.58
So we have to test,
[tex]$H_0 : p = 0.5$[/tex]
V/S [tex]$H_a: p \neq 0.5 $[/tex]
The test statistic is
[tex]$z = \frac{\hat p - p}{\sqrt{\frac{p(1-p)}{n}}}$[/tex]
[tex]$z = \frac{0.58 - 0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}$[/tex]
[tex]$=\frac{0.08}{0.05}$[/tex]
= 1.600
P value using the z table is 0.110
So P value greater than 0.05
Therefore, there is no evidence that roulette wheel is out of balance.
Fill in the blank. The centroid is (blank) of the distance from each vertex to the midpoint of the opposite side.
Step-by-step explanation:
.
The centroid is 2/3 of the opposite side. of the distance from each vertex to the midpoint. 8. To inscribe a circle about a triangle, you use the.
5 pages·2 MB
The complete statement is: the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side
The properties of a centroid are:
The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.The centroid is located at a point that is 2/3 from the vertex to the midpointThe second highlight above means that: the statement is to be completed with 2/3
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June's mother was 29 when June was 5 years old. How old will June be when she is one-quarter her mother's age?
Given :
June's mother was 29 when June was 5 years old.
To Find :
How old will June be when she is one-quarter her mother's age.
Solution :
Let, age of June when she is one-quarter her mother's age is x and mother's age is y.
So, y = 4x ...1)
Also, we know that difference between two person's age is constant.
So, y - x = 29-5
y - x = 24 ...2)
Solving equation 1 and 2, we get :
[tex]4x -x = 24\\\\3x = 24\\\\x = 8[/tex]
y = 32
Therefore, June will be 8 years old when is one-quarter her mother's age.
A restaurant serves custom-made omelets, where guests select meat, cheese, and vegetables to be added to their omelet. There are 6 vegetables available, and guests may select any 2 vegetables for their omelet. How many different combinations of 2 vegetables are possible?
from were get the 5 and 4
Answer:
15 possible combinations
Step-by-step explanation:
Given
[tex]Vegetables = 6[/tex]
[tex]Selection = 2[/tex]
Required
Determine the possible number of combinations
The question emphasizes on "selection" which means "combination".
So; To answer this question, we apply the following combination formula:
[tex]^nC_r = \frac{n!}{(n-r)r!}[/tex]
In this case:
[tex]n = 6[/tex]
[tex]r = 2[/tex]
The formula becomes:
[tex]^6C_2 = \frac{6!}{(6-2)!2!}[/tex]
[tex]^6C_2 = \frac{6!}{4!2!}[/tex]
[tex]^6C_2 = \frac{6*5*4!}{4!2*1}[/tex]
[tex]^6C_2 = \frac{6*5}{2}[/tex]
[tex]^6C_2 = \frac{30}{2}[/tex]
[tex]^6C_2 = 15[/tex]
Hence, there are 15 possible combinations
Quartile represent what percent of data.
A. 35%
B. 50%
C.25%
D.30%
After falling 23 degrees f, the temperature is now 51 degrees f. What was the starting temperature?
Answer:
74
Step-by-step explanation:
its easy so you add 23 and 51 and you got the answer.
pls help asap no trolls!
Answer:
HI
Step-by-step explanation:
In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.
This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.
In ∆HIJ, the least angle measure is <J (54°).
Side length opposite to <J is HI.
Therefore the smallest side of ∆HIJ is HI
I WILL MAKE YOU BRAINLEST
At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal?
I am extremely confused. Any help?
Answer:
(x-4)(5x³+18x²+54x+215)+860
Step-by-step explanation:
This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r
That is:
5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r
if so,then
5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r
5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r
5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r
We can now equate the similar terms thus,the terms with the same power of x on both sides
5x⁴=ax⁴,a=5
Again,
b-4a=-2,but a=5
b-4(5)=-2
b-20=-2
b=18
Again,
c-4b=-18(but b=18)
c-4(18)=-18
c-72=-18
c=54
Again,
d-4c=-1(but c=54)
d-4(54)=-1
d-216=-1
d=215
Finally,
-4d+r=0(but d=215)
-4(215)+r=0
r-860=0
r=860
This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860
Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860
What does the word slope mean?
Solve the following system of equations. 4y+3z=-7
12x-3y+z=-7
-6x+2y-2z=12
Step-by-step explanation:
12x-3y+z＝-7 ‖-12x+3y
z＝-7-12x+3y
so you can replace z with (-7-12x+3y)
4y+3*(-7-12x+3y)＝-7
4y+(-21-36x+9y)＝-7
13y-21-36x＝-7 ‖+21
13y-36x＝14 ‖-13y
-36x＝14-13y ‖*(-1)
36x＝-14+13y ‖/3
12x＝-14/3+13/3y
so-6x＝+14/6-13/6y
(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)＝12
(+14/6-13/6y)+2y+14-28/3+26/3y-6y＝12
(+14/6-13/6y)+2y+14-56/6+52/6y-6y＝12
7+2.5y＝12 ‖-7
2.5y＝5 ‖/2.5
y＝2
so
4y+3z＝-7
4*2+3z＝-7
8+3z＝-7 ‖-8
3z＝-15 ‖/3
z＝-5
12x-3*2+(-5)＝-7
12x-6-5＝-7
12x-11＝-7 ‖+11
12x＝4 ‖/12
x＝1/3
An electrician collected $1265.23 for a job that included $840 labor, which was not taxed, and the rest for parts, which were taxed at 6%. Determine how much of the total was tax.
Answer:
Total tax = $25.51
Step-by-step explanation:
Total collection = $1265.23
Tax-Free amount = $840
so
Taxable amount = $1265.23 - $840
= $425.23
Given that the taxable amount was taxed at 6%
Thus,
The total tax = 6% of 425.23
= 6/100 × 425.23
= 0.06 × 425.23
= $25.51
Therefore,
Total tax = $25.51Find tan theta.
A.16/20
B.12/20
C.16/12
D.12/16
Answer:
16/12
Step-by-step explanation:
SOHCAHTOA
TOA - tan theta = Opposite/ Adjacent
Tan theta = 16/12
= 16/12
if you were told to find theta, then
tan inverse ( 16/12)
theta will be 53.13 degrees
The tangent of the given right angle triangle is [tex]\frac{16}{12}[/tex].
What is a right angle triangle?A right angle triangle is a triangle in which one of the three angles is a right angle.
What is the tangent of an angle in a right angle triangle?"In any right angle triangle, the tangent of an angle is the length of the opposite side (O) divided by the length of the adjacent side (A). In a formula, it is written simply as 'tan'."
Given, Base of the right angle triangle is = 12.
The height of the right angle triangle is = 16.
The hypotenuse of the right angle triangle is = 20.
The angle between the base of the triangle and the hypotenuse is = θ.
Now, tan θ
[tex]= \frac{Height}{Base}\\= \frac{16}{12}[/tex]
Therefore, tan θ of the given right angle triangle is [tex]\frac{16}{12}[/tex].
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y = x - 4
y = 4x + 2
x=
y =
Answer:
(-3/2, -11/2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x - 4
y = 4x + 2
Step 2: Solve for x
Substitution
Substitute in y: x - 4 = 4x + 2Isolate x terms: -4 = 4x + 2Isolate x term: -6 = 4xIsolate x: -3/2 = xRewrite: x = -3/2Step 3: Solve for y
Define equation: y = x - 4Substitute in x: y = -3/2 - 4Subtract: y = -11/2Answer by Khan Academy:
x=−2
y=−6
Hope This Helped Everyone
Step-by-step explanation:
Which is equivalent to (-2m^2n^3/m^2n^4)^2?
if i bike travels 15m in 2 sec, what is its speen in km/h?
Answer:
x=27 km
Step-by-step explanation:
Make an equation 2/.015=3600/x
Multiply 3600 by .015 to get 54
Divide 54 by 2 to get 27.
9514 1404 393
Answer:
27 km/h
Step-by-step explanation:
(15 m)/(2 s) = (15 m)/(2 s)×(1 km)/(1000 m)×(3600 s)/(1 h)
= (15×1×3600)/(2×1000×1) km/h = 15×1.8 km/h = 27 km/h
using the diagram below, what is the measure of e
Answer:
50°Step-by-step explanation:
Since AB and ED are parallel and AE is the transversal, angle A and E are congruent
So m∠E = m∠A = 50°
The value of angle E is 50.
What is an angle?An angle is a combination of two rays (half-lines) with a common endpoint.
Given:
ΔCAB ~Δ CED
AB || CD
As, ΔCAB ~Δ CED
So, the corresponding angle is equal.
<A = <E
<B= <D
So, <A= <E =50. (given)
Hence, the m<E =50.
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In a class 32 students, 4students we're homesick with the flu on Thursday. what percentage of the students were absent on Thursday
Answer:
12.5%
Step-by-step explanation:
4 * 100 / 32 = 12.5
If adora watched a video that's 21:58 minutes long what time will she have to start watching to finish exactly at 11:59pm
Answer:
11:37.02 pm
Step-by-step explanation:
11:59 pm - 21:58 minutes = 11:37.02 pm
can some one plz help me with this sienice qustion (will give brainlest)
Answer:
A
Step-by-step explanation:
What is 3/8 as a decimal representation and as a percent representation
Answer:
0.375 and 37.5%
Step-by-step explanation:
3/8 = 0.375
0.375*100=37.5%
Select the correct equations.
Identify all of the linear functions.
2x + 5y = 13
-x2 = 3y + 10
3(2x + y) = 14
y = 13- 2x2
2 = y + x5
y = x + 7
Answer:
A linear equation is of the form:
y = a*x + b
Where a and b are real numbers, and we only have one term with x, and no powers of x larger than 1.
Let's rearrange all the given options to see if they take this form. I will isolate x for all of them.
a) 2x + 5y = 13
5y = -2*x + 13
y = (-2/5)*x + 13/5
(this is a linear equation)
b) -x^2 = 3y + 10
-3*y = x^2 + 10
y = (-1/3)*x^2 + 10/3
(this is not a linear equation)
c) 3(2x + y) = 14
6x + 3y = 14
3y = 14 - 6x
y = (-6/3)*x + 14/3
(this is a linear equation)
d) y = 13 - 2*x^2
(this is not a linear equation, we have a x^2 there)
e) 2 = y + x^5
-y = x^5 - 2
(this is not a linear equation, we have a x^5 there)
f) y = x + 7
we can rewrite this as:
y = 1*x + 7
(this is a linear equation)
Answer:
i just wanted to say, that I took the test and A and F are correct, but C (the person above me says C is correct) is not correct
Step-by-step explanation:
Find the value of x that will make A||B.
A
В
4x
2x
x
[?]
Answer:
[tex]x = 30^{\circ}[/tex]
Step-by-step explanation:
Given
Parallel lines A and B
Required
Determine the value of x
From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:
[tex]2x + 4x = 180[/tex]
Solving further, we have:
[tex]6x = 180[/tex]
Divide both sides by 6
[tex]\frac{6x}{6} = \frac{180}{6}[/tex]
[tex]x = \frac{180}{6}[/tex]
[tex]x = 30^{\circ}[/tex]
Which
graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then
decreases its speed, as time increases?
Answer:
I believe the answer would be
Step-by-step explanation:
a graph that goes up and then is a straight line then it goes down.
In other words the graph would be A.
geometry help please!
Answer:
x+16=4x-5
16+5=3x
21=3x
21/3=x
x=7
Part C
Write a question or define an attribute of the data that you couldn't answer or see with the original histogram, but can
now answer or see with the new histogram.
Answer:
This is the sample answer:
The new histogram shows that 7 trucks have a fuel efficiency of 10 to 14 miles per gallon. It’s also possible to see that the shape of the data is skewed right.
Step-by-step explanation:
who wants brainlest?
what is 5 thousand + 1 ?
(very hard)
who is the most popular gamer on yt
(pls sub to him)
do you like roblx or mincraft or both
bonus question:
(five stars)
witch is better
mincraft or roblx
(your opinion)
if you want to compete in the next brainlest competition, friend me, or follow my questions, to keep yourself updated............
:)
Answer:
5001
PewDiePie
both!!
rblx, since there r similar games like mincraft in it lol
Answer:I want brainlest,5001 SUPA HARD pewdiepie (i subed)
I prefer minecraft i like both
Step-by-step explanation:
Not sure if thats what u wanted lol :D
What is 6,618 feet in yards
Answer:
2,206 yards
Step-by-step explanation:
To find how many yards there are, we can divide by 3.
6618 / 3 = 2206
Best of Luck!
Answer:
6,618 feet is 2,206 yards.
Step-by-step explanation:
Golf balls can be purchased in a 3-pack for $4.95 or a 12-pack for $18.95. Which is the better buy? Which Item cost less per golf ball? By how much?
lest common multiple of 60 and 90
Answer:
180
Step-by-step explanation:
-w=-10+4w
Step by step to please
w=2
Step-by-step explanation:
-w=-10+4w
10=4w+w
10=5w
10/5=w
2=w