Answer:
The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.
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].
In 2017, a random sample of 154 individuals who graduated from high school 12 months prior was selected. From this sample, 94 students were found to be enrolled in college or a trade school.
This means that [tex]n = 154, \pi = \frac{94}{154} = 0.6104[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 - 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.546[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6104 + 1.645\sqrt{\frac{0.6104*0.3896}{154}} = 0.675[/tex]
The confidence interval has a lower limit of 0.546 and an upper limit of 0.675.
For the function f(x) = -12x^2 + 6x - 8 find the equation of the tangent line at x= -1
Answer:
y=30x+4
Step-by-step explanation:
The midpoint of AB is M(2,0). If the coordinates of A are (-3, 3), what are the coordinates of B?
Given:
M is the midpoint of AB.
M(2,0) and A(-3, 3).
To find:
The coordinates of point B.
Solution:
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Let the coordinates of point B are (a,b). Then, using the midpoint formula, we get
[tex](2,0)=\left(\dfrac{-3+a}{2},\dfrac{3+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-3+a}{2}=2[/tex]
[tex]-3+a=2\times 2[/tex]
[tex]a=4+3[/tex]
[tex]a=7[/tex]
And,
[tex]\dfrac{3+b}{2}=0[/tex]
[tex]3+b=0[/tex]
[tex]3+b-3=0-3[/tex]
[tex]b=-3[/tex]
Therefore, the coordinates of point B are (7,-3).
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
[tex] \large{ \boxed{ \tt{OUR \: ANSWER : \underline{ \$ \: 583.3125}}}}[/tex]
Well , You can solve this question using two ways. I'm gonna use the both ways to make you clear and the one which you can easily understand , pick up that way and start solving another question as similar as this one.
[tex] \large{ \tt{❃ \: FIRST \: METHOD }} : [/tex]
This method is related to the unitary method. Let's start :
We're provided - Amount Kelly earns per hour for gardening = $ 12.75 and we're asked to find out the amount she earn if she worked 45.75 hours this month.We know , Kelly probably earns more money if she worked 45.75 hours comparison to if she worked 1 hour. So You just multiply 45.75 & 12.75 , you would get $ 583.3125 and that's your final answer.[tex] \large{ \tt{❃ \: SECOND \: METHOD}} : [/tex]
This method is related to the proportion. If you haven't learned about it yet , use the above way to solve the similar type of questions. Let's start :
Let Kelly earns X dollars if she worked 45.75 hours this month. [ Now , See the attached picture ] Here , we can see the time is increased which implies that money will surely be increased. Such type of proportion is called direct proportion.Here , the ratio of time ( in hours ) = 1 : 45.75 and the ratio of amount ( in dollars ) = 12.75 : x . Now , Set up an equation and solve for x :[tex] \large{ \tt{ ❁ \: \frac{1}{45.75} = \frac{12.75}{x}}} [/tex]
[tex] \large{ \tt{↦ \: 1 \times x = 45.75 \times 12.75}}[/tex]
[tex] \large{ \tt{↦x = \$ \: 583.3125}}[/tex]
Hence , She earned $ 583.3125 .▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
which integer is 3 less then -7
Answer:
-10
Step-by-step explanation:
you did not have to come on here for this annswer could have subtracted -7-3=-10
Answer:
Step-by-step explanation:
Any question that has less in it, is a question that you should pay attention to.
-7 -3 = - 10
You have to think of this the way you would money. Which would you rather owe - 7 dollars or - 10 dollars. Surely you would say that - 7 is better than - 10.
So - 10 looks like it is three less than - 7
It works if the money thing makes sense to you.
If that doesn't work then think of a number line. As you keep on going left, the number looks like it is getting bigger, but is it. Again - 10 is smaller than - 7.
If you are talking about plus numbers then 3 less then 7 is not 10. It is 4.
Need help solving this problem
Answer:
46-22= 24
Therefore, the answer is ;
A.24
A cone is 37 inches long and has a diameter of 7 inches. What is the approximate volume of the cone?
Answer:
Below
Step-by-step explanation:
To find the volume of a cone, you can use the equation V=π r^2 (h/3)
Because the diameter is 7, the radius is 3.5 inch ( r=1/2 d)
V = π (3.5^2)(37/3)
= 474.64 in^3
I hope that is correct good luck!
Answer:
474.642
Step-by-step explanation:
To find out the volume of the cone is using V= 1/3 TTR^2 * H
We know TT is pie, pie is 3.19 and the radius of the cone is 3.5 inches because half of seven is 3.5.
V=1/3 3.14 * 3.5 * 3.5 * 37 = 474.642
Find the circumference of this circle
using 3 for 7.
C ~ [?]
2.
C = 27r
Answer:
[tex] \displaystyle C = 12[/tex]
Step-by-step explanation:
remember circumference formula
[tex] \displaystyle C = 2\pi r[/tex]
given that,r=2 thus substitute:
[tex] \displaystyle C = 2\pi .2[/tex]
simplify mutilation:
[tex] \displaystyle C = 4\pi [/tex]
substitute the given value of π:
[tex] \displaystyle C = 4.3[/tex]
simplify multiplication:
[tex] \displaystyle C = 12[/tex]
and we are done!
Answer:
C = 12.
Step-by-step explanation:
Given :-
Radius of circle , r = 2.Value of pi, π = 3To find :-
Circumference of circleFormula for finding circumference of circle;
Circumference of circle = 2 × π × radius.
Solution :-
Circumference of circle = 2 × π × radius.
Substitute the value of radius into the formula.Circumference of circle = 2 × π × 2
Multiply ; 2 × 2Circumference of circle = 4 π.
plug 3 as π.Circumference of circle = 4 × 3
Multiply to getCircumference of circle = 12
Which of the following exponential functions represents the graph below
9514 1404 393
Answer:
D
Step-by-step explanation:
The exponential function is decreasing everywhere, so the base of the exponent must be less than 1. Only one answer choice fits.
PLS HELP! If f(x) = -9x + 12, and f(x) = -6, find x.
Answer: x=2
Step-by-step explanation:
-6=-9x+12
Subtract 12
-18=-9x
Divide by -9
X=2
Will give brailiest to first
Answer:
A)
[tex]f(x)=x^(2)-2x+3[/tex]
Step-by-step explanation:
Answer:
option a
pls give brainliest
Step-by-step explanation:
Answer to the question
Answer:
x = 48.
Step-by-step explanation:
If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.
Based on the graph, between which two values of x is a zero of g located?
Answer:
Between 4 and 5
Step-by-step explanation:
Given
See attachment for graph
Required
Between which points is g(x) = 0
From the attachment, we can see that the graph crosses the x-axis at 4... and -1...
This means that
g(x) = 0 between 4 and 5
g(x) = 0 between -1 and -2
Going by the available options,
g(x) = 0 between 4 and 5
What's the inverse of ƒ(x) = 3x3 – 4?
Answer:
Step-by-step explanation:
y = 3x³ -4
the inverse is found by changing x with y and y with x than solve for y
x = 3y³ -4
x+4 = 3y³-4+4; add 4 to both sides
x+4 = 3y³
(x+4)/3 =y³ ;divide both sides by 3
∛((x+4)/3) = y ;cube root both sides
the inverse function of f(x) =3x³-4 is
[tex]f(x)^{-1} =\sqrt[3]{\frac{x+4}{3} }[/tex]
Plz help this is due in an hour
Answer:
2X+3+X-6 =180
3X-3+3=180+3
3X=183
X=61
Answer:
x = 61
Step-by-step explanation:
The angles shown form a straight line
Angles that form a straight line add up to equal 180
Hence, 2x + 3 + x - 6 = 180
( note that we just created an equation that we can use to solve for x )
We now solve for x using the equation created
2x + 3 + x - 6 = 180
step 1 combine like terms
2x + x = 3x
3 - 6 = - 3
we now have 3x - 3 = 180
step 2 add 3 to each side
-3 + 3 cancels out
180 + 3 = 183
we now have 3x = 183
step 3 divide 3 from each side
3x / 3 = x
183 / 3 = 6
we're left with x = 61
Can someone help me?
Answer:
1. True, because when performing the calculations in both sides of the equation, we find that the left value is indeed the same as the right value
4-3+5 = 1+5 = 6
-6+8+4 = 2+4 = 6
6=6, so the sentence is correct
2+5 = 19-12 => 7=7, true
5-4-3-2-1 = 30-34-1 => -5=-5, true
2(x+5)-4x = 3(x-2)-5x+16
=> 2x+10-4x = 3x-6-5x+16
=> -2x+10 = -2x+10, true
Step-by-step explanation:
the other two sentences lead to false
4/5 + 1/5 = 2 - 1 - 1, => 5/5 = 1 = 0, false
2(x+8) = 2x-8, => 2x+16 = 2x-8 => 16=-8, false
⚠️⚠️HELP DUE IN 3 HOURS⚠️⚠️
If f(1)=10 and f(n)=-2f(n-1) then find the value of f(5)
9514 1404 393
Answer:
f(5) = 160
Step-by-step explanation:
The first several terms of the sequence are ...
10, -20, 40, -80, 160, -320, 640, ...
Each term is -2 times the previous term.
f(5) = 160
Plssss Help me, Im so confused, this will decide if i get into my dream school!!!! Plsss help me!
Answer:
-24
Step-by-step explanation:
First solve -4(-2)
which is +8
Next solve 8(-3)
which is equal to -24
Hope this helps
Good luck with your school
Answer:
i think it's -24
Step-by-step explanation:
I used photo math
Anyone knows the answer ??
Answer:
Hello! answer: 17
Step-by-step explanation:
15 × 15 = 225
8 × 8 = 64
225 + 64 = 289
√289 = 17 17 × 17 = 289 Therefore the answer is 17 hope that helps!
Answer:
17
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]8^{2} + 15^{2} = c^{2}[/tex]
289 = [tex]c^{2}[/tex]
square root both sides
c = 17
5. If the lines 2x + 3ay – 1 = 0 and 3x + 4y + 1 = 9 are mutually perpendicular, then the value of a is (1 Point) O a. O b.3 O-1/2
because the multiplication Slope of 2 perpendicular is -1
: (570)=2 م Let m 1 = (342) and m .16 = m1= =OFE هم (
Answer:
x = 6
m<1 = 20°
m<CFE = 140°
Step-by-step explanation:
m<1 = (3x + 2)°
m<2 = (5x - 10)°
✔️Given that FB bisects AFC, therefore,
m<1 = m<2
Substitute
3x + 2 = 5x - 10
Collect like terms and solve for x
3x - 5x = -2 - 10
-2x = -12
-2x/-2 = -12/-2
x = 6
✔️m<1 = 3x + 2
Plug in the value of x
m<1 = 3(6) + 2
m<1 = 18 + 2
m<1 = 20°
✔️m<CFE = 180° - m<AFC (angles on a straight line)
m<CFE = 180° - (m<1 + m<2)
m<CFE = 180° - (20 + 20)
m<CFE = 180° - 40°
m<CFE = 140°
Which one of the them please?
Answer:
Dog.
Step-by-step explanation:
Because:-
Tomato is much lighter.
Pineapple is not convincing
Dog is reliable.
Pencil is not correct.
need help asap! will give the first right answer brainliest!
Answer:
Step-by-step explanation:
12
Answer:
b think if I'm wrong let me know
find the polynomial of minimum degree, with real coefficients, zeros at x=-4+1i and x=8, and y intercept at -408
Answer:
(x-8)(x+4-i)=x^2+4x-ix-8x-32+8i=x^2-(4+i)x-32+8i
y=x^2-(4+i)x-32+8i
Check:
D=16+8i-1+128-32i=143-24
A rectangle has a perimeter of 102 ft and a length of 40 ft. Find the width of the rectangle.
Need help solving for x, look at image above
Answer:
x = 1.2
Step-by-step explanation:
We can use a ratio to solve since they are similar triangles
6 (6+4)
----- = ---------
x 2
Using cross products
6*2 = (6+4)*x
12 = 10x
Divide by 10
12/10 = x
1.2 =x
Hope this help!!!
Have a nice day!!!
HOLA SOY ESPAÑOL VINE VER COMO SE VEN ESCRIBIENDO EN INGLIS NO SE NADA DE INGLIS SE PORCO PERO BUENO QUIEN QUIRE HABLAR CON UN ESPAÑOL
SALUDOS DEL FLENIX777Apoyo
How can she find the coordinates of the new point without graphing the point?
#CarryOnLearning
if m=17 and b=6,find m
Answer:
M) = 17
Step-by-step explanation:
You stated the answer right there. I think the question is missing more info but for now M=17
A coordinator will select 7 songs from a list of 13 songs to compose an event's musical entertainment lineup. How many different lineups are possible
Answer:
8,648,640 different lineups are possible.
Step-by-step explanation:
The order in which the musics are there is important(lineup means that order matters), which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
How many different lineups are possible?
7 musics from a set of 13. So
[tex]P_{(13,7)} = \frac{13!}{(13-7)!} = \frac{13!}{6!} = 8648640[/tex]
8,648,640 different lineups are possible.
Soda is sold in aluminum cans that measure 7 inches in height and 2.8 inches in diameter. How many cubic inches of soda are contained in a full can?
9514 1404 393
Answer:
43.1 in³
Step-by-step explanation:
The volume can be computed using the formula ...
V = (π/4)d²h . . . . where d is the diameter and h is the height
For your dimensions, the volume is ...
V = (π/4)(2.8 in)²(7 in) ≈ 43.103 in³
A full can contains a volume of about 43.1 cubic inches.
