Answer:
CI = ( 0,539 ; 0,599)
Step-by-step explanation:
The proportion p₀ of person that hung up the phone in the first minute of waiting is:
p₀ = 569/1000 p₀ = 0,569 p₀ = 56,9 %
Then q₀ = 1 - 0,569 q₀ = 0,431 q₀ = 43,1 %
Sample size is n = 1000
A 95 % CI is: α = 5 % α = 0,05 a/2 = 0,025
In z-table we look z ( score ) for 0,025 z = ± 1,96
Now CI for proportion is:
p₀ - z (α/2) * √ (p₀*q₀ )/n < p < p₀ + z (α/2) * √ (p₀*q₀ )/n
we need to find out
z(α/2) * √ (p₀*q₀ )/n = 1,96*√ ( 0,569*0,431)/1000 = 1,96 *0,01566 =0,03
Then
CI ( 95%) = 0,569 ± 0,03 = ( 0,569 - 0,03 ; 0,569 + 0,03)
CI = ( 0,539 ; 0,599)
1/4x + ½ = 2/4x + ¾
what are the steps
Answer:
x=-1
Step-by-step explanation:
1/4x+1/2=2/4x+3/4
1/4x+2/4=2/4x+3/4
2/4=(2/4x-1/4x)+3/4
2/4=1/4x+3/4
2/4-3/4=1/4x
-1/4=1/4x
-1=x
x=-1
Which graph represents a function?
Answer:
C
Step-by-step explanation:
In D, the x value repeats
Answer:
C
Step-by-step explanation:
C has a positive then negative slope, while D can't even be a function.
I hope this helps :)
I need help with this due today
Answer: P-22 A-30
P=28 A-28
P=12 A=9
P=18 A=18
Step-by-step explanation:
1. Side lengths are 5,6,5,6- perimeter is 22 Area is 5*6= 30
2. Side lengths are 10,4,4,2,6,2- perimeter is 28 Area can be found by finding the area of the whole region (4*10) and subtracting the missing piece (2*6) so 40-12=28
3. sides are all 3- perimeter is 3*4= 12 and area is 3*3=9
4. sides are 6,3,6,3- perimeter is 18 and area is 3*6=18
1. Observa el siguiente conjunto de enteros (-1,0, 1)
A. ¿Cuál de las propiedades de los números reales son verdaderas
para el conjunto?
Answer:
no hablo espanol papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas papas fritas
Step-by-step explanation:
please very soon I offer the crown !!! + 10 points urgently !!!
Answer:
swdfghjkl;'[
Step-by-step explanation:
asdfghjkl;'iy7u6j54hy3feqdwsrtfyuiop;lkjhgf
Answer:
nbmmmmmmmmmmmmmmmmmm
Step-by-step explanation:
HELPPPPPPPPP MATH PLEASE
Answer: 14
Step-by-step explanation:
Answer:
12 units^2
Step-by-step explanation:
The triangle on the left has an area of 2, the square has an area of 4 and the triangle on the right has an area of 6.
Add these up to get 2+4+6 = 12
A roof has a cross section that is a right triangle. The diagram shows the approximate dimensions of this cross section. Find the height h of the roof. Round your answer to the nearest tenth.
Answer:
5
Step-by-step explanation:
Area of right angle Triangle:
6.5 * 9 * 1/2 = 29.25
2nd way to find area:
1/2 * base * height
Since we have area and base:
1/2 * 11.1 * h = 29.25
= 5.27m
= 5m (nearest tenth)
The height h of the roof to the nearest tenth is 5.3 m
Right angle triangle:Right angle triangle has one of its angles as 90 degrees. The triangles are likewise similar and can be used to find the height h of the roof.
Therefore,
11.1 / 6.5 = 9 / hcross multiply
11.1 h = 9 × 6.5
11.1 h = 58.5
divide both sides by 11.1
11.1 h / 11.1 = 58.5 / 11.1
h = 5.27027027027
h = 5.3 m
learn more on right triangle here: https://brainly.com/question/4280778
⚠️⚠️⚠️PLEASE ANSWER ASAP ILL GIVE BRAINLIEST ⚠️⚠️⚠️
Select all of the applicable transformations from the parent function y=x^2 to y=-(x+2)^2-3
reflection
vertical translation up 2
vertical translation down 3
vertical translation up 3
horizontal translation left 3
horizontal translation right 2
horizontal translation left 2
compression by a factor of 3
stretch by a factor of 2
Answer:
reflection
vertical translation down 3
horizontal translation right 2
Step-by-step explanation:
Given
[tex]y = x^2[/tex] ---> Parent function
[tex]y = -(x+2)^2-3[/tex]
Required
All possible transformations
First, the parent function is reflected across the x-axis:
This gives:
[tex]y = x^2[/tex] [tex]==>[/tex] [tex]y =-x^2[/tex]
Next, it is translated horizontally right by 2
The rule is:
[tex](x,y)==>(x+2,y)[/tex]
So:
[tex]y =-x^2[/tex] [tex]==>[/tex] [tex]y = -(x +2)^2[/tex]
Lastly: it is translated vertically down by 3
The rule is:
[tex](x,y)==>(x,y-3)[/tex]
So:
[tex]y = -(x +2)^2[/tex] [tex]==>[/tex] [tex]y = -(x +2)^2 - 3[/tex]
A cylinder has a diameter of 14 cm and a volume of 112 Pi cubic centimeters what is the height in centimeters of the cylinder
Answer:
8
Step-by-step explanation:
Solve for u.
u +5.96 = 9.39
Answer:
u equals 3.43 because you subtract from both sides.
The price of an item has been reduced by
45%
. The original price was
$15
Answer:
8.25
Step-by-step explanation:
15*.45=6.75
15-6.75=8.25
Answer:
Step-by-step explanation:
15x45%= $6.75
i need the answer no playing around please and if the answer is right i will give you a thanks and full stars pleaseeeee
Answer:
50+50x
Step-by-step explanation:
they're asking you to use distributive property
so what you have to do is multiply everything that is in the parenthesis by 10
5x10=50
5x10x=50x
so the answer is 50+50x
have a great day :D
========================================================
Explanation:
To get this answer, we multiply the outer term 10 by each term inside
5*10 = 505x*10 = 50xI'm using the distribution rule or distributive property. So that's why (5+5x)10 is the same as 50+50x
We could arrange the terms to get 50x+50 if you wanted.
--------------------------
Extra info (optional section):
Let's say that instead of 10, we had a smaller value like 2
(5+5x)2 would mean we have two copies of (5+5x) added together
So we'd have (5+5x)+(5+5x) = (5+5)+(5x+5x) = 10+10x
Then note how the distributive property says
(5+5x)*2 = 5*2+5x*2 = 10+10x
This is one example that helps us see how the distributive property is correct.
Which graph shows a proportional relationship between X and y
What is the value of the underlined digit? Write your answer as a fraction. 0.812? 2 is underline number?
9514 1404 393
Answer:
1/500
Step-by-step explanation:
The value of the digit is found by setting the other digits to zero:
0.002
This is 2 thousandths, or 2/1000. The fraction can be reduced to 1/500.
Answer:
the answer is 1/500
Step-by-step explanation:
:)))
need help with these 2 questions
Answer:
There are no questions....
Are they on your prev one?
Two stores have competing back-to-school sale. Which store offers the better price per T-shirt? What is the price? Explain.
A bike shop is having a sale 40% off all bikes. If you see a bike for $280, how much will you pay after receiving the 40% discount?
Malik purchased a pair of roller blades that were originally priced at $250 for a sale price of
$180. He charged the roller blades on his credit card and made the minimum monthly
payment of $20. When he received his first statement, he read that the minimum finance
charge for each month that there was a balance on the card would be $15. How many
months will Malik need to pay off the roller blades? (Assume that a minimum finance
charge of $15 will apply to all balances of $250 or less.)
Answer:f he made a first payment of $20 shortly after the purchase, he would have a balance of $180-$20=$160, before they applied the first $15 finance charge, but he will see a balance of $180-$20+$15=$175 (with the finance charge) in that first statement.
Each month, his balance will change by -$20+$15=-$5, so it will take him, another 32 payments to reduce that $160 to $0. That month, he will pay the $20 balance to get a balance of zero, and hopefully see no more finance charges.
In all, paying the minimum $20 payment each month, Malik will make 33 such payments for a total of $660. If he saved $20 per month, he could have saved $180 in 9 months, or $260 in 13 months, and he would have saved a lot of money. He would probably have to pay the $250 regular price, and would have missed about a year of roller blading, but he would have saved $660-250=$410.
Step-by-step explanation:
50 points for good answer plz plz plz
Answer:
true
Step-by-step explanation:
have a good day sorry if i am wrong
can i please have a brainlliest
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0)
Answer:
a. m = -1, y-int = 0
b. m = 2/3, y-int = -5/3
c. m = -1/2, y-int = 2
Step-by-step explanation:
-Expand equations on both sides.
-Make 'y' the subject by collecting like terms and moving everything to the right, e.g. y = ...
-Slope is the number in front of x.
-Find y-intercept by letting x = 0 and solve the equation.
Concerns about climate change and CO2 reduction have initiated the commercial production of blends of biodiesel (e.g., from renewable sources) and petrodiesel (from fossil fuel). Random samples of 32 blended fuels are tested in a lab to ascertain the bio/total carbon ratio. (a) If the true mean is .9370 with a standard deviation of 0.0090, within what interval will 99 percent of the sample means fall
Answer:
99% of the sample means will fall between 0.93288 and 0.94112.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The true mean is .9370 with a standard deviation of 0.0090
This means that [tex]\mu = 0.9370, \sigma = 0.0090[/tex]
Sample of 32:
This means that [tex]n = 32, s = \frac{0.009}{32} = 0.0016[/tex]
Within what interval will 99 percent of the sample means fall?
Between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile.
0.5th percentile:
X when Z has a pvalue of 0.005. So X when Z = -2.575.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-2.575 = \frac{X - 0.9370}{0.0016}[/tex]
[tex]X - 0.9370 = -2.575*0.0016[/tex]
[tex]X = 0.93288[/tex]
99.5th percentile:
X when Z has a pvalue of 0.995. So X when Z = 2.575.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]2.575 = \frac{X - 0.9370}{0.0016}[/tex]
[tex]X - 0.9370 = 2.575*0.0016[/tex]
[tex]X = 0.94112[/tex]
99% of the sample means will fall between 0.93288 and 0.94112.
Number 1 what is the area below
Number 2 what is the area of the shape
Answer:
Step-by-step explanation:
In both problems the area is made up of a rectangle and a triangle. The area of the rectangle is A=xy. The area of a triangle is A=bh/2
First problem
A=4(13)+5(13-6)/2
A=69.5ft^2
Second problem
A=5(3)+(6-3)(5-2)/2
A=19.5m^2
A rectangle has a length of 18 11/12 ft and a width of 5 1/2 ft. What is the area?
Answer:
104.04 ft.²
Step-by-step explanation:
length times width
Answer:
104.042
Step-by-step explanation:
area of rectangle=length*width
7)
Given the function f(x) = 2x^3 - 18x^2 + 36x + 12, find f(2).
A)
f(2)= 20
B)
f(2) = 24
f(2)= 28
D)
f(2)= 32
Answer:
f(2) = 28
Step-by-step explanation:
f(2) = 2(2³) - 18(2²) + 36(2) + 12
= 2(8) - 18(4) + 72 + 12
= 16 - 72 + 72 + 12
= 16 + 12
= 28
My work is down below.download the pdf and look at it.Please answer it!
427 diveided by 3 do you have any aneswerers
Answer:
142.333....
Step-by-step explanation: just use a calculator
Answer:
142.34
Step-by-step explanation:
427 ÷ 3 = 142.34
good luck, i hope this helps :)
a fruit company delivers its fruit in two typed of boxes: large and small. A delivery of 2 large boxes and 3 small boxes has a total weight of 72 kilograms. A delivery of 6 large boxes and 5 small boxes has a total weight of 162 kilograms. How much does each type of box weigh?
Help ASAP giving brainliest
Answer:
24÷8=3
Step-by-step explanation:
because 24÷8=3
^2sin(x+45)=sinx + cosx
Answer:
steps below
Step-by-step explanation:
√2 * sin(x+45°)
= √2 * (sinx cos45° + cosxsin45°)
= √2 * (sinx * √2/2 + cosx * √2/2 )
= (√2 * √2/2) (sinx + cosx)
= sinx + cosx
Question 16
4 Points
Using the formula 1 = PRT, find I when P = 3634, R = 6% and T = 7. Round your answer to the nearest penny. Enter only the value
without the $.
Round your answer to 2 decimal places.
Add your answer