Answer:
2) 0.0914
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
A survey of 114 drivers is performed and 62 people say they will not drive until all passengers in the vehicle are buckled up.
This means that [tex]n = 114, \pi = \frac{62}{114} = 0.5439[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What would be the margin error for this confidence interval?
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5439*0.4561}{114}}[/tex]
[tex]M = 0.0914[/tex]
Thus the margin of error is 0.0914, option 2).
Find the perimeter of the figure below, in meters.
2.7 m
2.7 m
*4m
Answer:
31.8 m
Step-by-step explanation: 6 5 17 26
add up all the lengths to find the perimeter
or sum the multiplication of the common lengths
P = 6 × 4.4 m + 2 × 2.7 m
= 26.4 m + 5.4 m
= 31.8 m
PLEASE HELP ASAP !!!!!!!!
Answer:
[tex] \large{ \tt{❃ \: EXPLANATION }}: [/tex]
We're provided - m [tex] \angle[/tex] FBD = ( 2x + 3 ) ° & m [tex] \angle[/tex] EBC = ( 9x - 11 ) ° and We're asked to find m [tex] \angle[/tex] EBC .Do you know what vertically opposite angles are ? - When two lines intersect , the angles formed opposite to each other are called vertically opposite angles. Vertically opposite angles [ VOA ] are always equal to each other.
[tex] \large{ \tt{❁ \: SOLUTION}} : [/tex]
Set up an equation and solve for x :[tex] \large{ \tt{❈ \: (2x + 3) \degree = (9x - 11) \degree} \: (BEING\: VERTICALLY \: OPPOSITE \: ANGLES)}[/tex]
[tex] \large{ \tt{⟶2x \degree + 3 \degree = 9x \degree - \: 11 \degree}}[/tex]
[tex] \large{ \tt{⟶3 \degree + 11 \degree = 9x \degree - 2x \degree}}[/tex]
[tex] \large{ \tt{⟶14 \degree = 7x \degree}}[/tex]
[tex] \large{ \tt{⟶ \: 7x \degree = 14 \degree}}[/tex]
[tex] \large{ \tt{⟶x = \frac{14 \degree}{7 \degree} }}[/tex]
[tex] \boxed{\large{ \tt{⟶x = 2 \degree}}}[/tex]
The value of x is 2°.[tex] \large{ \tt{☄ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↝ \: m \: \angle \: EBC = (9x - 11) \degree = (9 \times 2 - 11) \degree = \boxed{ \boxed{ \tt{7 \degree}}}}}[/tex]
[tex] \boxed{ \boxed{ \large{ \tt{OUR \: FINAL \: ANSWER : \boxed{ \underline{ \bold{} \tt{7 \degree}}}} }}}[/tex][tex] \tt{✺ \: NOTHING \: CAN \: GIVE \: YOU \: THE \: POWER \: MORE \: THAN \: EDUCATION \: DOES!} \: ♪[/tex]
۵ Hope I helped! ツ
☼Have a wonderful day / evening !☃
# StayInAndExplore ! ☂
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Help please thank you very much
Answer: [tex]2\sqrt{7}[/tex]
When writing this on a keyboard, you would say 2*sqrt(7)
========================================================
Explanation:
The formula we'll use is
A = 0.5*p*q*sin(R)
where R is the angle between sides p and q.
The diagram shows that p = x+4 is opposite angle P, and q = x is opposite angle Q. Convention usually has the uppercase letters be angles, and the lowercase letters as the sides.
Plug in the given values and simplify to get the following
A = 0.5*p*q*sin(R)
A = 0.5*(x+4)*x*sin(60)
A = 0.5*(x+4)*x*sqrt(3)/2 ..... use the unit circle
A = 0.25*(x^2+4x)*sqrt(3)
A = (0.25x^2+x)*sqrt(3)
Set this equal to the given area of A = sqrt(27) and solve for x
A = (0.25x^2+x)*sqrt(3)
(0.25x^2+x)*sqrt(3) = A
(0.25x^2+x)*sqrt(3) = sqrt(27)
(0.25x^2+x)*sqrt(3) = 3*sqrt(3) .... see note1 at the very bottom
0.25x^2+x = 3
(1/4)x^2+x = 3
x^2+4x = 12 .... see note2 at the very bottom
x^2+4x-12 = 0
(x+6)(x-2) = 0
x+6 = 0 or x-2 = 0
x = -6 or x = 2
A negative side length doesn't make sense, so we ignore x = -6. The only solution here is x = 2.
Since x = 2, this means we have the following side lengths so far
p = RQ = x+4 = 2+4 = 6q = PR = x = 2Now apply the law of cosines to find the missing side.
r^2 = p^2 + q^2 - 2*p*q*cos(R)
r^2 = 6^2 + 2^2 - 2*6*2*cos(60)
r^2 = 36 + 4 - 24*1/2
r^2 = 40 - 12
r^2 = 28
r = sqrt(28)
r = sqrt(4*7)
r = 2*sqrt(7)
Side PQ is exactly 2*sqrt(7) units long
This approximates to 2*sqrt(7) = 5.2915
------------------------------------
Footnotes:
Note1: sqrt(27) = sqrt(9*3) = sqrt(9)*sqrt(3) = 3*sqrt(3)Note2: I multiplied both sides by 4 to clear out the fraction13/10+2/100=?/100 do you guys know what it os
Answer:
132/100 or 1.32
Step-by-step explanation:
13/10=130/100
130/100+2/100=132/100
Answer:
132
Step-by-step explanation:
13/10+2/100=?/100
Get a common denominator of 100 for the first term
13/10 * (10/10) +2/100=?/100
130/100 + 2/100 = ?/100
132/100 = ? /100
I need help with this math problem please
Answer:
C) 3(x+7)²
Step-by-step explanation:
Answer:
A) (3x + 21)(x + 7)
Step-by-step explanation:
If we look at the equation we can see that it is a quadratic equation, therefore we can factor it in the following way...
[tex]3x^{2} + 42x + 147 = 3x^{2} + 21x + 21x + 147 = 3x(x + 7) + 21(x + 7) = (3x + 21)(x + 7)[/tex]
Therefore the answer is A)
at davidson's bike rentals it cost $42 to rent a bike for 9 hours. how many hours of bike use does a customer get per dollar?
Answer:
3/14 of an hour
Step-by-step explanation:
9 hours/42 dollars
Mr X invested R20000 at 10% interest compounded annually for 5 years and Mrs X invested the same amount R20000 at 10% simple intetest for 5 years Who will get more return on investment between Mr X and Mrs X show calulations
Answer:
Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment
Step-by-step explanation:
a) Mr X Return
We have the compound interest formula as;
V = P(1 + r)^t
V is the value yielded after some certain amount t
Where P is the amount invested = R20,000
r is the yearly interest rate = 10/100 = 0.1
t = 5 years
so we have;
V = 20,000(1 + 0.1)^5 = R32,210.2
b) Mrs X return
We use the simple interest formula here;
A = P + I
I = PRT/100
where P, the principal is the amount invested = R20,000
R = 10%
T = 5 years
I = (20,000 * 10 * 5)/100
I = R10,000
A = R20,000 + R10,000
A = R30,000
Since R32,210 is greater than R30,000; it simply means that Mr X would get greater return on investment
If a = 5, then what is the value of -(-a)?
Answer:
5
Step-by-step explanation:
It will remain 5 because two negatives make a positive.
-(-5) = 5
Hope this helps.
Answer:
5 ( REMEMBER TWO NEGATIVES MAKE A POSITIVE)
Step-by-step explanation:
When there is a - in front of an expression in parentheses, change the sign of each term in the expression 5
Insert a digit to make the number divisible by 24 if possible:
44_8
pls help
Answer:
it's 4488 Wich would make 187
Susan’s ribbon is 3.8 metres long.
What is the length of her ribbon in millimetres?
Answer:
the answer is 3800mm.because 1m is 1000mm
The missing number in the arithmetic sequence 60, 51,
33 is:
43.
41.
ОООО
40.
42.
Step-by-step explanation:
missing where ?
I guess you mean that there is one element missing between 51 and 33 (based on the readable answer options).
if that is true, then the missing element is 42.
the difference between 60 and 51 is 9.
the difference between 51 and 33 is 18.
if there is an engender missing in between 51 and 33, then it is logical to put it in the middle cutting the interval of 18 in half to 2 times 9. which is also supported by the first interval between 60 and 51 (9).
so, it would be 51 -9 = 42
A planet has a circumference of approximately 39,750 km. with this circumference, what is it's radius?
the radius of the planet is_____ (round to the nearest integer as needed)
use the measurement above to determine the length of an arc from the North Pole of the planet to the Equator.
Answers:
radius = 6326 kmdistance from north pole to equator = 1582 kmThese values are approximate
=============================================================
Explanation:
The circumference formula is
C = 2*pi*r
which rearranges to
r = C/(2pi)
when solving for r.
Plug in the given circumference to find that
r = C/(2pi)
r = (39,750)/(2pi)
r = 6,326.40898790283
For the sake of the most accuracy possible, I'm using my calculator's stored version of pi (and not something like pi = 3.14); if your teacher requires you to use pi = 3.14 then follow those instructions of course.
The radius is roughly 6326 km when rounded to the nearest integer.
Keep in mind that the earth isn't a perfect sphere, but rather a slightly squished one. This means the earth is slightly fatter than it is tall. However, for the sake of this problem, we'll assume it's a sphere.
------------------------
Once you determine the circumference, aka distance around the circle, we can figure out the next problem: determining the distance from the north pole to the equator. This distance runs along a line of longitude, so it's a north-south distance.
Again, imagine the earth is a perfect sphere. This means that the equator circumference is the same as the circumference as a full longitude line when we travel the globe only along that line. In other words, start at the north pole, travel along that specific longitude only until you reach the south pole. Then staying on that line, travel back to the north pole going around the backend of the earth.
That full circular path we traveled will get cut into 1/4 because 1/2 the circumference is the portion from north to south pole, and then we cut that distance in half when going from north pole to the equator.
(1/4)*(6,326.40898790283) = 1,581.6022469757
That rounds to 1582 km
------------------------
Side notes:
39750 km = 24700 miles (approximate)6326 km = 3931 miles (approximate)1582 km = 983 miles (approximate)To convert from km to miles, you divide by roughly 1.609344Write an equation of a function with each domain:
a. [ 2 , ∞ )
b. ( -∞ , ∞ )
Answer:
a. [ 2 , ∞ )
Step-by-step explanation:
Boxers in the nineteenth century used their bare fists. In modern boxing,
fighters wear padded gloves. How do gloves protect the brain of the boxer from
injury?
Answer:
boxers get injured but it is good to have some security on your fist and for those who do do boxing it's nice to have some security
Pamela's age is three times Jiri's age. The sum of their ages is 28 . What is Jiri's age?
Answer:
So, if we say Jiri's age is j (we can pick any letter), then Pamela's age is 2j, right?
j + 2j = 72
j is the same as 1j, but we wouldn't call you 1James, just James.
3j = 72
To isolate j, we do the opposite operation to both sides.
3j/3 = 72/3
j/j = 1, so that cancels out. 72/3 = 24.
j = 24
Jiri is 24 years old.
Answer:
Jiri is 7 years old.
explanation:
3j + j = 28
4j = 28
4j/4 = 28/4
j = 7
this can be proven:
Pamela's age: 3×7 = 21
the sum of their ages = 28
7 + 21 = 28
Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities is:
Answer:
Probability[Number of 6 random sample do not have cavities] = 0.8
Step-by-step explanation:
Given:
Number of student do not have cavities = 60%
Number of random sample = 9 children
Find:
Probability[Number of 6 random sample do not have cavities]
Computation:
n = 9
p = 60% = 0.6
P(At least 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)
Probability[Number of 6 random sample do not have cavities] = 0.8
The probability of 9 children selected from this school, at least 6 do not have cavities is 0.80.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
Sixty percent of all children in a school do not have cavities.
The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities will be
n = 9
p = 0.60
Then we have
[tex]\rm P = 1 - P(less \ than \ or \ equal \ 6)\\\\P = 0.8[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Which point is a good approximation of a turning point
of the graph?
0 (-1.5,3)
0 (-0.5, -1)
0 (0,0)
O (1.0)
Answer:
(-0.5, -1)
Step-by-step explanation:
A turning point is a point of the graph where the graph changes from increasing to decreasing (rising to falling) or decreasing to increasing (falling to rising)
What are the year-2 CPI and the rate of inflation from year 1 to year 2 for a basket of goods that costs $25.00 in year 1 and $25.50 in year 2? NEED FAST REALLY IMPORTANT IF CORRECT WILL MARK AS BRAINLIEST
Answer:
The answer is A, the CPI is 25.50, and the rate of inflation is 2%.
Step-by-step explanation:
I took the test and I know the correct answer. :)
Answer:
E) 102 and 2%
Step-by-step explanation:
If the graphs of the linear equations shown below are perpendicular, what is the value
of a?
y = 3x +8
2y = ax - 5
Answer:
[tex]a=-\frac{2}{3}[/tex]
Step-by-step explanation:
We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:
[tex]y=3x+8[/tex] and
[tex]y=\frac{a}{2}x-2.5[/tex]
The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:
[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]
I hope this helps! Let me know if you have any questions :)
A laundry basket contains 15 socks, of which 5 are yellow.
What is the probability that a randomly selected sock will be yellow?
Write your answer as a fraction or whole number.
Answer:
5/15
Step-by-step explanation:
Out of 15, 5 are yellow. Converted to a fraction this will be 5/15. Hope this helps!! :)
Answer:
1/3
Step-by-step explanation:
Take the total number of socks and compare it to the number of yellow socks. 15 and 5. Now divide the total by the specified group (yellow socks), by doing so, you get 3.
Every 1 in 3 socks is yellow, meaning the chance of picking a yellow sock at random is 1/3.
What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
X
12
D 4 B
A. 3.1
O
B. 12
C. 6.9
O D. 4
Answer:
O A. 3.1
Step-by-step explanation:
it's correct if I'm rwong (*´ω｀*)
Answer: The answer is C. 6.9
Step-by-step explanation:
Jessie has three one-gallon containers. The first one has 1/5 of a gallon of juice, the second has 1/5 gallon of juice and the third has 1/5 gallons of juice. How many total gallons of juice does Jesse have?
Math Escape Level 3 plz hurry it is due to today bestie
Answer:
1
Step-by-step explanation:
x-9=-8
x=-8+9
x=1
A sphere p has a volume of 75 cm cube. Find the volume of a sphere whose radius is twice the radius of p
Answer:
https://www.gigacalculator.com/calculators/volume-of-sphere-calculator.php this the link for the marth calculate
find the volume of a sphere. Only a single measurement needs to be known in order to compute the volume of a sphere and that is its diameter. For example, if the diameter is known to be 20 feet, then calculate the volume by using the first formula above to get 4/3 x 3.14159 x (20/2) 3 = 4.1866 x 1000 = 4188.79 ft 3 (cubic feet).
Consider polynomials P and Q.
P= 8y4 + 6y3 +8y
Q= (5y2 - 4y) (3y2 + 7)
Which operation results in an expression equivalent to 23y4 - 6y3 + 35y2 - 20y?
A. PQ
B. P +Q
C. Q - P
D. P - Q
please help!!!!!!!!!!
Answer:
y - 2 = 0
Step-by-step explanation:
find slope first:
(2-2)/(5+1) = 0/6 or 0
now use 'y=mx+b' to find the y-intercept (the 'b'):
2 = 0(5) + b
2 = b
so, in slope-intercept form, the equation is:
y = 2
but, in standard form, the equation is:
y - 2 = 0
What is the value of f(-4)
Answer:
the correct answer is 10
Step-by-step explanation:
Find the focus of the parabola whose equation is y=1/8 x^2
Answer:
The focus is: [tex](0,2)[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{1}{8}x^2[/tex]
Required
Determine the focus
The focus of a parabola
[tex](x- h)^2 = 4p(y - k)[/tex]
is:
[tex](h,k+p)[/tex]
So, we have:
[tex]y = \frac{1}{8}x^2[/tex]
Cross multiply
[tex]8y = x^2[/tex]
Rewrite as:
[tex]x^2 = 8y[/tex]
Rewrite as:
[tex](x - 0)^2 = 8(y - 0)[/tex]
Express 8 as 4 * 2
[tex](x - 0)^2 = 4 * 2(y - 0)[/tex]
By comparison with: [tex](x- h)^2 = 4p(y - k)[/tex]
[tex]h = 0[/tex] [tex]p =2[/tex] [tex]k = 0[/tex]
So, the focus [tex](h,k+p)[/tex] is:
[tex](h,k+p) = (0,0+2)[/tex]
[tex](h,k+p) = (0,2)[/tex]
A carpenter is designing rectangular picture frames to sell at a local craft fair. The frames will be made of wood with a uniform width around the picture, and each frame will have an opening for a 5-inch by 7-inch picture.
Quieres un chocolate?
Please help reply correctly in Spanish
Answer:
sí, (yo) quiero un chocolate
