Answer:
The lower interval limit for our 95% confidence interval is of 0.0412.
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].
We have taken a random sample of 100 observations and observed 10 instances of the characteristic in question.
This means that [tex]n = 100, \pi = \frac{10}{100} = 0.1[/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}} = 0.1 - 1.96\sqrt{\frac{0.1*0.9}{100}} = 0.0412[/tex]
The lower interval limit for our 95% confidence interval is of 0.0412.
3/5 x ?/? = 3/5 plz im on a test!
Answer:
Dont say its a test youll get reported and banned by brainly
Step-by-step explanation: also the answer is: 3/5 x 3/5 = 925 = 0.36
Answer: 1/1
Step-by-step explanation:
1/1 because it = 1 so that means 3/5 x 1/1 is 3/5
2. Three pairs of jeans and six shirts cost $104.25. The cost of 4 pairs of jeans and 5 shirts
is $112.15. Find the cost of each pair of jeans and each shirt.
Answer:jeans = x = 16.85
shirts = y = 8.95
Step-by-step explanation:
That’s the answer bud
Simplify 3^2 ⋅ 3^5
^ = are exponents
A 3^7
b
3^10
c
9^7
d
9^10
Answer:
B
Step-by-step explanation:
when simplifying base stays the same we only deal with exponent I think I need help too
Find the area of the figure. 8.5 cm 9.5 cm 24 cm The area of the figure is_______cm2
Answer:
432 is the blank
Step-by-step explanation:
I just did this problem
PLZZ help middle school math you just have to explain how to solve it. please don't put big words so I can understand and my teacher will think its me...lol
Answer:
tell her you don't understand it and she'll help you ok good luck
Help please due in 25 minutes !!!
Answer:
Option B is correct from question point of view..If the sales tax rate is 8.5%, how much would you pay for an item that costs $26.00?
Answer:
23.79
Step-by-step explanation:
What number should
be added to both sides of the equation to complete the square?
x2 + 8x = 4
4
8
16
O 32
1+1=???????????????????
Answer:
I.d.k I think 1 :)
Step-by-step explanation:
have a great day
Assessment timer and count
Assessment items
Item 1
A scientist studied the replication of bacteria in a lab environment. This table gives the bacteria count for the first 12 hours. The table can be modeled using an exponential function.
Hours 2 4 6 8 10 12
Bacteria count 1,240 5,100 20,990 86,520 365,520 1,469,170
What function best represents the data?
y=300+4x
y=1240⋅2.03x
y=4x
y=300⋅2.03x
Answer: y=300⋅2.03x
Step-by-step explanation:
Answer:
D.) y = 300 ⋅ 2.03x
Step-by-step explanation:
By using the plug-in method, you use "Hours" as the X in this question.
If you plug in 2, 4, 6, 8, 10, and 12 to y = 300 ⋅ 2.03x, you will get the closest answers to "Bateria Count"
1,236.27 = 300 ⋅ 2.03^2
5,094.54= 300 ⋅ 2.03^4
2,0994.11 = 300 ⋅ 2.03^6
86,514.63 = 300 ⋅ 2.03^8
and so on- all are the closest to the chart.
Hope this helped! :)
10 x 3 thousands how many thousands are in the answer
Answer:
30 thousands, or 30,000 units.
Step-by-step explanation:
Since the question refers to 10 x 3 thousands, to determine how many thousands are in the answer, the following calculation must be performed:
10 x 3 = 30
So there are 30 thousand in the answer, which is equal to 30,000.
CAN YOU ANSWE QUESTION 1 and 2 please??
Answer:
B. $700
Step-by-step explanation:
The answer is A because.....
Step 1: Find the 7% of 2000.
a.) 7% of 2000 is 140.
b.) Check- So: 140/2000= 0.07 (7%)
Step 2: Multiply 140x5 which equals $700.
Although, I can’t really see the second question‘s options, as the calculations made for the previous question, she paid $140 each year.
I rlly hope this is helpful! If so, please, please, please mark brainliest! Thanks! :)
Answer:
c
Step-by-step explanation:
An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base of diameter
5.7 inches. In the new design, the chamber is scaled by a factor of 1.5.
The volume of the original chamber is
V cubic inches. This i
v cubic inches less than the volume of the new
chamber.
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
Please verify the following trigonometric identities.
1. [tex]\frac{\tan x + \tan y}{\cot x + \cot y} = \tan x + \tan y[/tex]
2. [tex]\frac{\sin^3x + \cos^3x}{\sin x + \cos x} = 1 - \sin x \cos x[/tex]
3. [tex]\tan(\frac{x}{2}) + \cos x \tan(\frac{x}{2}) = \sin x[/tex]
Seems like there is a correction in the first question (RHS is tanx.tany)
(i) For convenience: let tanx = a ; tany = b
Thus, tanx + tany = a + b
Moreover, cotx = 1/tanx = 1/a ; coty = 1/b
Thus,
cotx + coty = 1/a + 1/b = (a + b)/ab
Hence,
=> (tanx + tany)/(cotx + coty)
=> (a + b) / { (a + b)/ab }
=> ab(a + b)/(a + b)
=> ab => tanx.tany , proved.
(ii) For convenience: let sinx = a ; cosx = b
As we know, sin²x + cos²x = 1 => a²+b²=1
=> (a³ + b³)/(a + b)
=> (a + b)(a² + b² - ab) / (a + b)
=> (a² + b² - ab)
=> 1 - ab => 1 - sinx.cosx , proved
(iii): let x/2 = A
=> tan(x/2) + cosx.tan(x/2)
=> tanA + cos2A.tanA
=> tanA [1 + cos2A]
=> tanA (2cos²A) {1+cos2A = 2cos²A}
=> (sinA/cosA) (2cos²A)
=> sinA (2cosA)
=> 2sinAcosA
=> sin2A
=> sin2(x/2)
=> sinx proved
Letting x/2 = A is not mandatory. I did it to decease words*(in a line).
Indentities used:
• sin²A + cos²A = 1
• (a³ + b³) = (a + b)(a² + b² - 1)
• 1 + cosA = 2 cos²(A/2)
• tanA = sinA/cosA.
• 2sinAcosA = sin2A
Write an equation from a real life situation
1. A membership at a yoga studio costs $35 per month, m. Write an equation to find the final cost, c?
2. After you wrote your equation, answer this question. Show your work.
" You attended the yoga studio for 20 months. What was the final cost?
Answer:
1. C=35m?
2.C=700 or $700
Step-by-step explanation:
1. Total Cost= Rate x Number of Months
2. C=35m
Cost=rate x number of months
C=35(20)
C=700 or Total Cost=$700
Answer:
1. c = 35m
2. c = 35 · 20
20 · 35 = $700
Step-by-step explanation:
point b is 8 units away for the origin
Answer:
ok
Step-by-step explanation:
Which algebraic expression is a polynomial with a degree of 5?
3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5
which expression is equivalent to 8(5x-3)
13x-11
13x-24
40x11
40x-24
Answer:
The last answer option.
Angle AOC has the measure of 87°, determine the measure of the angle in radians.
Answer:
1.518 radians is the answer.
Step-by-step explanation:
Degree to radian conversion = 1° × [tex]\frac{\pi }{180}[/tex]
87° × [tex]\frac{\pi }{180}[/tex]
1.518 radians
There are five blue crayons, seven yellow crayons, and eight red crayons in a box. If one is randomly drawn and replaced 15 times, find the probability of drawing exactly four blue crayons.
0.2252
(Please mark me brainliest! thank you in advance!!)
Asim mixed 5 gallons of paint.
Which of the following can be used to
find the number of pints of paint that
Is Asim mixed?
a.5 × 4 × 2
b. 5 × 4 , 2
c.5 × 2 × 2
d.5 , 2 × 2
is it a.b.c.d?
Answer:
5 × 4 × 2
Step-by-step explanation:
5 gallons
4 quarts per gallon
2 pints per quart
A physical examination was used to screen for breast cancer in 7600 women with biopsy proven adenocarcinoma of the breast and in 11,000 age and race matched control women. The results of the physical examination were positive (i.e. a mass was palpated) in 5,500 cases and 1,700 control women (who showed no evidence of cancer at biopsy). The total population is 18,600. The sensitivity of the physical examination was:______.
Answer:
72.37%
Step-by-step explanation:
Calculation for what The sensitivity of the physical examination was
Using this formula
Sensitivity=Positive physical examination cases/Physical examination screening for breast cancer
Let plug in the formula
Sensitivity=5,500 cases / 7600 women
Sensitivity=0.7237*100
Sensitivity=72.37%
Therefore The sensitivity of the physical examination was 72.37%
Answer:
72.37% is the answer for this
Find the surface area and volume of the prism
Answer:
I only know the first one.
The surface area of the prism is 900 cm2
Step-by-step explanation:
To solve the surface area, we need to find the area of the SURFACE not the inside of the cube. Lets do the rectangles first.
28 x 13 = 364
28 x 5 = 140
28 x 12 = 336
1 1
336
+ 140
364
-------------
8 4 0
Now lets do the triangles.
Remember! To find the area of a triangle, you have to do Base x Height x 1/2 because it's half a rectangle.
(The triangles have the same area)
12 x 5 x 1/2 = 30
12 x 5 x 1/2 = 30
30
+ 30
--------
60
The last step is to add the areas of the triangles and the rectangles.
1
840
+ 60
------------
900 cm2
The answer is 900cm2
This Is not copy pasted, I actually put in all this effort.
Hope this helps :) And have a wonderful day! :D
PLEASE HELP NO WRONG ANSWERS
Answer:
I believe it's C
Step-by-step explanation:
[tex]\\ \sf\longmapsto Area=30x^2-53x+12[/tex]
[tex]\\ \sf\longmapsto Area=30(3)^2-53(3)+12[/tex]
[tex]\\ \sf\longmapsto Area=30(9)-159+12[/tex]
[tex]\\ \sf\longmapsto Area=270-159+12[/tex]
[tex]\\ \sf\longmapsto Area=111+12[/tex]
[tex]\\ \sf\longmapsto Area=123[/tex]
And
[tex]\\ \sf\longmapsto Base=4x-6[/tex]
[tex]\\ \sf\longmapsto Base=4(3)-6[/tex]
[tex]\\ \sf\longmapsto Base=12-6=6[/tex]
Now
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}6h=123[/tex]
[tex]\\ \sf\longmapsto 3h=123[/tex]
[tex]\\ \sf\longmapsto h=\dfrac{123}{3}[/tex]
[tex]\\ \sf\longmapsto h=41[/tex]
explain how you know plz
Answer:
this is a nonlinear function because the point do not have a steady rate of change for example y went up one and x went up 1 but from the next set of pairs y went up one and x went up three so this is a nonlinear function
is this a function ???????
if sinθ = A, find cos(π/2-θ)
(using trigonometric identities to fine the value)
Answer:
Cos(π/2 - θ) = A
Step-by-step explanation:
We know that:
Sin(θ) = A
And we want to find the value of Cos(π/2 - θ)
Here we can use the cosine relationship:
Cos(a - b) = Cos(a)*Cos(b) + Sin(A)*Sin(B)
Then:
Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ)
We know that:
Cos(π/2) = 0
Sin(π/2) = 1
Then:
Cos(π/2 - θ) = Cos(π/2)*Cos(θ ) + Sin(π/2)*Sin(θ) = 0*Cos(θ ) + 1*Sin(θ)
= 1*Sin(θ) = A
Cos(π/2 - θ) = A
знайдіть розв'язок системи лінійних рівнянь 10x-6y = 18 9x+6y=39
Answer:
(-21, -38)
Step-by-step explanation:
Given the simultaneous equation
10x-6y = 18 ... 1
9x+6y=39 ...2
Using the Elimination method
Subtract
10x - 9x = 18 - 39
x = -21
substitute x = -21 into 1;
From 1:
10x-6y = 18
10(-21)-6y = 18
-210 - 6y = 18
-6y = 18+210
-6y = 228
y = 228/-6
y =-38
Hence the solution to the system is (-21, -38)
Jason launched a rocket for a physics experiment. This equation can be used to find
the height (h), in feet, of the rocket after t seconds.
h = -16t2 + 288t + 8
How many seconds will it take for the rocket to reach a height of 1,304 feet?
Answer:
5.063 seconds
Step-by-step explanation:
Use a graphing calculator to graph, then use the table functions to solve for 1304
or say
1304= rest of equations and solve for X
1/3 divided by 4? Fractions
Answer:
1/12
Step-by-step explanation: