Answer: [tex]0.791\leq p\leq0.909[/tex]
Step-by-step explanation:
The confidence interval for the population proportion is given by:-
[tex]\hat{p}\pm z^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion, n =sample space , z* = critical z-value.
As per given, we have
[tex]n = 247[/tex]
[tex]\hat{p}=0.85[/tex]
Critical value for 99.9% confidence = 2.576
The required confidence interval will be:
[tex]0.85-2.576\sqrt{\frac{0.85\times0.15}{247}}\leq p\leq 0.85+2.576\sqrt{\frac{0.85\times0.15}{247}}\\\\\Rightarrow\ 0.85-(0.058526)\leq p \leq0.85+(0.058526)\\\\\Rightarrow\ 0.791474\leq p\leq0.908526\approx0.791\leq p\leq0.909[/tex]
The required confidence interval: [tex]0.791\leq p\leq0.909[/tex]
40) A 10 ft. ladder positioned against a house makes a 65 degree angle with the ground. How far away
from the house is the base of the ladder?
A. 4 feet
B. 6 feet
C. 9.06 feet
D. 4.22 feet
Answer:
Distance of ladder from base = 4.22 feet (Approx.)
Step-by-step explanation:
Given:
Length of ladder = 10 feet
Angle with ground = 65°
Find:
Distance of ladder from base
Computation:
Length of ladder (hypotenuse) = 10 feet
Distance of ladder from base (Base)
Using trigonometry function
Cosθ = Base / Hypotenuse
Cosθ = Distance of ladder from base / Length of ladder
Cos65 = Distance of ladder from base / 10
0.4226 = Distance of ladder from base / 10
Distance of ladder from base = 0.4226 x 10
Distance of ladder from base = 4.226
Distance of ladder from base = 4.22 feet (Approx.)
Hi I need help with this please help me
Answer:
if I'm correct the answer is 0.45x
PLEASE HELP I HAVE A C ALREADY I NEED TO GET THIS RIGHT PLEASE
You want to estimate the number of students in your school who support extra funding for the science club. You survey the first 13 students who arrive at a science class.
Determine whether the sample is biased or unbiased.
Answer:
BRO I HAVE THE SAME QUESTION FOR MY TEST....
ITS BIASED IM REALLLLY SURE
Step-by-step explanation:
I WILL GIVE BRAINLIEST PLEASE
Answer:
the answers are pi/6 and radius. hence the statement should read as
the length of the arc intercepted by third central angle is pi/6 times the length of the radius.
PLZ HELPPPPPP!!!!!!!!!
Answer:
the answer is B
Step-by-step explanation:
Santiago buys a new computer for $3000. He pays it off in 2 years and pays $480 in simple interest. What was the interest rate?
Answer:
8%
Step-by-step explanation:
We can solve this by making use of the simple interest formula
I= PRT/100
480= 3000×R×2/100
480= 6000R/100
Cross multiply
48000= 6000R
R= 48000/6000
= 8%
Hence the rate is 8%
someone please help .. i’m giving 20 points and brialiest
Answer:
D because it goes right then up!
You usually buy a 5.4 ounce bottle of lotion. There is a new bottle that says it gives
you 20% more free.
Use the drop-down menus to build an equation that could be used to find the size of
the larger bottle,x
Answer:
5.4 · 0.2
1.08 = 20%
5.4 + 1.08
6.48 ounce bottle
Could a polyhedron exist with the given number of faces, vertices, and edges? Drag yes or no to each combination
Answer:
(a) No
(b) No
(c) No
Step-by-step explanation:
Given
See attachment
Required
Select Yes or No for each
To do this, we make use of Euler's formula
[tex]F + V - E = 2[/tex]
Where
[tex]F \to Faces; V \to Vertices; E \to Edges[/tex]
[tex](a):\ Faces = 8; Vertices = 12; Edges = 6[/tex]
Using: [tex]F + V - E = 2[/tex]
[tex]8 + 12 - 6 = 2[/tex]
[tex]14 = 2[/tex]
The above equality is false. Hence, (a) does not exist
[tex](b):\ Faces = 6; Vertices = 6; Edges = 4[/tex]
Using: [tex]F + V - E = 2[/tex]
[tex]6 + 6 - 4 = 2[/tex]
[tex]8 = 2[/tex]
The above equality is false. Hence, (b) does not exist
[tex](c):\ Faces = 20; Vertices = 30; Edges = 12[/tex]
Using: [tex]F + V - E = 2[/tex]
[tex]20 + 30 - 12 = 2[/tex]
[tex]38 = 2[/tex]
The above equality is false. Hence, (c) does not exist
Paloma opened a savings account with a deposit of $750. She earns 2% simple interest per year on the account. What will the total amount of money, in dollars, in palomas account after 1 year if there are no other deposits or withdrawals ?
Answer:
$765
Step-by-step explanation:
Given data
Principal= $750
Rate= 2%
Time= 1 year
The simple interest expression is given as
A=P(1+rt)
substitute
A= 750(1+0.02*1)
A= 750(1.02)
A= $765
Hence the final amount is $765
Evaluate the algebraic expression h + h when b = 3, d = 12, h = 2 and r = 7.
A. 12
B. 8
C. 4
D. 0
Answer:
4
Step-by-step explanation:
h + h
h=2
2+2
4
Solve the right triangle. Round decimal answers to the nearest tenth.
Step-by-step explanation:
RS = 15/ tan57° = 9.7
RT = 15/sin57° = 17.9
4.
The expression for the area of a rectangle whose Length
(2p + 4) units and breadth 6 units is:
A. 12 + 24p
B. 24 + 12p
C. 4p + 20
D. None of these
Answer:
D. None of this
Step-by-step explanation:
(2p+4) 6
=12p+24
Answer:
None of these
Step-by-step explanation:
area of rectangle=length*breadth
=(2p+4)*6
=6*2p+4*6
=12p+24
Break 5/6 into a sum of unit fractions
plz dont dlete my question this isnt a live test and this isnt being streamed therefore i am not breaking breanlys guidlines
Answer:
1/6+1/6+1/6+1/6+1/6
Step-by-step explanation:
a unit fraction is a fraction with the numerator as 1
o
How can you explain, without just using a rule, why 4.2 = 0.2 is the
same as 42 = 2?
I
Ratio-wise it is the same :)
They're just moving decimals
.42 : .02
4.2 : .2
42 : 2
420 : 20
In the figure below, find the exact value of x. (Do not approximate your answer.)
3
Answer:
Step-by-step explanation:
use the idea of similar triangles.
6/3 = 3/x
2x = 3
x = 3/2
Find the slope between:
(1, -4)
(-6, -1)
Review the table showing the percentage of
contaminants remaining in a water sample after
passing through each round of filters.
In the exponential regression equation, what does the
value of b indicate?
Round
% of Contaminants
Left in Water Sample
0
100
6.3% of the contaminants remain in the water
sample after each round of filters.
14.9% of the contaminants remain in the water
sample after each round of filters.
O 6.3% of the remaining contaminants are removed
from the water sample after each round of filters.
14.9% of the remaining contaminants are removed
from the water sample after each round of filters.
1
15
2
2
3
0.3
Answer: it’s C
6.3% of the remaining contaminants are removed from water samples after each round of filters
Step-by-step explanation:
I got a good feeling
The value of b indicates 14.9% of the contaminants remains in water after each round of filters.
What is exponential regression?
Exponential regression refers to the process of arriving at an equation for the exponential curve that best fits a set of data.
What is the general form of the exponential regression equation?[tex]y =a b^{x}[/tex] is the general form of the exponential regression equation.
Let the exponential regression equation be [tex]y = ab^{x}[/tex].
Taking natural logarithm both the sides of [tex]y = ab^{x}[/tex]
⇒ [tex]ln y = a + x ln b..(i)[/tex]
For the value of a and b substitute the value of y and x from the given table.
substitute, y = 100 and x = 0 in equation (i)
⇒ [tex]ln100= a + 0[/tex]
⇒ a = 4.6
Substitute, y = 15, x = 1 and a = 4.6 in equation (i)
⇒ [tex]ln15 = 4.6 +( 1)lnb[/tex]
⇒[tex]2.7 - 4.6 = lnb[/tex]
⇒[tex]lnb = -1.9[/tex]
⇒ b = [tex]e^{-1.9}[/tex]
⇒ b = 0.149
⇒b = 14.9%
Hence, the value of b indicates 14.9% of the contaminants remains in water after each round of filters.
Learn more about the exponential regression equation here:
https://brainly.com/question/8448212
#SPJ2
Hamad wants to buy a video game with a selling price of $55, on sale for 40% off. The sales tax in his state is 3.5%. How much will Hamad have to pay in all?
Answer:
34.16
Step-by-step explanation:
55x.40=22 discount
55-22=33 sales price
33x.035=1.16 sales tax
33+1.16=34.16 total price
Answer:
$33.75
Step-by-step explanation:
hope this helps
Tell whether the angles are adjacent or vertical. Then find the value of x.
rº
1270
O vertical; 127
O adjacent; 127
O adjacent: 53
O vertical: 53
PLEASE ANSWER QUICKLY
Answer:
10 %
Step-by-step explanation:
Probability that they like hip hop = number that like / total = 30/300 = 1/10 = 10%
HELPP(David saves 12 % of his monthly salary.
If he saves $17.75, what is his monthly
salary?)
Answer:
147.92
Step-by-step explanation:
Let the monthly salary be x
He saves 12 % and that is 17.75
x* 12% = 17.75
Change to decimal form
x *.12 = 17.17
Divide each side by .12
x*.12 /.12 = 17.75/.12
x =147.91666666
Rounding to the nearest cent
x = 147.92
IK THIS ISNT MATH BUT I NEED HELP ASAP!!
The table below gives the temperature at a certain place at different times of the day for 3 days. When did the wind become much colder?
fid the log of 0.0007356
A pack of clothes pins has 1 quarter yellow 2 thirds red and the rest blue how much blue pins are there
Answer: 1/12
Step-by-step explanation:
First make all the fractions have the same denominator. To do that, multiply the fractions by a number that will get them the same denominator. In this case, multiply 1/4 by 3, and 2/3 by 4.
1/4 x 3/3 = 3/12
2/3 x 4/4 = 8/12
then you have 3/12 + 8/12 = 11/12
so, blue is 1/12
Answer:
1/12 of the pins are blue
Step-by-step explanation:
¼ yellow & ⅔ red
First you have to find a common denominator.
4×3 =12 & 3×4 =12 so the common denominator is 12.
Now × the numerator on the fraction with the same number that you x the denominator and you will get 3/12 and 8/12.
3/12 +8/12 = 11/12
12/12 - 11/12 = 1/12
Therefor 1/12 of the pins are blue
What is the surface area of the cylinder with height 6 m and radius 7 m?
Round your answer to the nearest thousandth.
Answer:
571.77 cm2 is the answer
PLS HELP WILL GIVE BRAINLIEST( IN PIC)
Answer:
hahahahahhahahahahahahah
PLEASE HELP ILL GIVE BRAINLY
Answer:
Student C
Step-by-step explanation:
The fraction ends up being 3 and you get 3* 3^-1 so you add 1 to the exponent.
HELP ME PLEASEESWSAS
Solve the following equation for x.
2 + x^2 = 47
6.7
b. 7
22.5
d. 47
Answer:
6.7
Step-by-step explanation:
x² = 45
x = 6.7
is the answer
Can someone help me on this?
Answer:
Step 1
Step-by-step explanation:
it should've been 4×[tex]10^{3}[/tex]
Answer:
A
Step-by-step explanation:
step 1
= 4 . 10³ not 4 . 10²