Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:
d. 68.39%.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.
The sample size and estimate are given by:
[tex]n = 2002, \pi = 0.71[/tex]
Hence, the lower bound is given by:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839[/tex]
Hence the lower bound is of 68.39%, which means that option D is correct.
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Your friend shows you a coin collection. In it, 38/50 of the coins are quarters. What percent of the coins are quarters?
Answer: 76%
Step-by-step explanation: 38/50 × 100/1
write a polynomial function with 3,-2,-5
Answer:
3x³ - 2x² + x - 5
Hope this helps!
Please help! Will mark brainlyest.
Point A is located at (-2, -6), so since it mentions you must translate 4 units up, you know that the y coordinate will move 4 units up. Hence, -6 + 4 = -2, so the final coordinates of the question is (-2, -2).
Answer:
(-2,-2)
Step-by-step explanation:
Y-axes gose up and down
x-axes gose side to side
(x,y) is how its written. So -6 +4= -2
brainlyest and five stars, please :)
A high school has 35 students who play only stringed instruments,
10 students who play only brass instruments, 5 students who play
both, and 5 students who don't play either. What is the probability
that a randomly selected student at this high school plays a stringed
instrument or a brass instrument?
Answer:
[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Note : the total number of students is 55
___________________________
[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]
p(A) = 40/55
p(B) = 15/55
[tex]p\left( A\cap B\right) =\frac{5}{55}[/tex]
Therefore,
[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]
[tex]=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}[/tex]
[tex]=\frac{50}{55}[/tex]
[tex]=\frac{10}{11}[/tex]
Can someone help me with this please.
Answer: A. Register
Step-by-step explanation:
Each time you write a check or deposit money in your account, its recorded in your check register.
Solve for the area of the complex figure below. Show your work and explain the steps you used to solve.
Round your answer to the nearest whole number.
2. MGSE7.G.5: What is the value of x?
A. 74°
B. 148°
C. 37°
74€
D. 106°
help me with this please..!
Answer:
[tex]y \geq -4[/tex]
Step-by-step explanation:
This is because the lowest the y-coordinate goes to is -4.
Given g(x)=4x-2/5 find the inverse
Answer:
g^-1(x)=1/4x+1/10
Step-by-step explanation:
y=4x-2/5
x=4y-2/5
4y-2/5=x
20y-2=5x
20y=5x+2
y=1/4x+1/10
g^-1(x)=1/4x+1/10
What numbers multiply to get 72 and add to get 12?
Answer:
9,8,3
Step-by-step explanation:
9×8=72
9+3=12
as you can see the common number is 9 here
Pls help! This is due soon! Would appreciate it! :))
Answer:
Step-by-step explanation:
Which fraction is closest to 1 1/2?
Answer:
4/2
Step-by-step explanation:
Find number closest to 1.5
[tex]\frac{4}{2} = 2\\1/2=0.5\\6/2 = 3\\\\2/4 = 0.5[/tex]
4/2 is closest to 1.5
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100 Brainliest up for grabs to person who can answer all of these with no links:
Dave has a lawn mowing business. Based on daily sales figures for the past two summers, he has developed the following probability distribution for X = number of lawns mowed on a randomly selected day.
A) What is the probability that he will mow exactly 2 lawns on a randomly selected day?
B) What is the probability that he will mow at least 1 lawn on a randomly selected day?
C) What is the expected value (mean) of lawns mowed on a randomly selected day?
Using a discrete probability distribution, it is found that:
a) There is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
b) There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
c) The expected value is of 1.3 lawns mowed on a randomly selected day.
What is the discrete probability distribution?Researching the problem on the internet, it is found that the distribution for the number of lawns mowed on a randomly selected dayis given by:
P(X = 0) = 0.2.P(X = 1) = 0.4.P(X = 2) = 0.3.P(X = 3) = 0.1.Item a:
P(X = 2) = 0.3, hence, there is a 0.3 = 30% probability that he will mow exactly 2 lawns on a randomly selected day.
Item b:
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2 = 0.8[/tex]
There is a 0.8 = 80% probability that he will mow at least 1 lawn on a randomly selected day.
Item c:
The expected value of a discrete distribution is given by the sum of each value multiplied by it's respective probability, hence:
E(X) = 0(0.2) + 1(0.4) + 2(0.3) + 3(0.1) = 1.3.
The expected value is of 1.3 lawns mowed on a randomly selected day.
More can be learned about discrete probability distributions at https://brainly.com/question/24855677
Solve for x
x= ?
3x-4 3x-8
Answer:
x = 32
Step-by-step explanation:
=> (3x-4) + (3x-8) = 180° (Linear pair)
=> 6x - 12 = 180
=> 6x = 192
=> x = 192/6
Therefore x = 32
i will give brainliest image below
Answer:
55°
Step-by-step explanation:
50+75=125. 180-125=55
55+90=145. 180-145=35
90-35=55
Angle ABC (B) is 55°
Method I used:
All lines need to add to 180° so I found the 3rd angle for C. Then I drew an imaginary line perpendicular to lines n and m that intersects line m at point B. The angles of that triangle need to add to 180° so I added 90° (right angle) with the 3rd angle of C (55°) then subtracted that value from 180 to get angle B. Then i found ABC (B).
difference of -150 and 325
Step-by-step explanation:
[tex] - 150 - 325 = - 340[/tex]
helpppppppppppppppppppppppp
Answer:
[tex]360\ cm^2[/tex]
Step-by-step explanation:
Step 1: Determine the area of the bottom rectangle
[tex]A = l * w[/tex]
[tex]A = 10\ cm * 12\ cm[/tex]
[tex]A = 120\ cm^2[/tex]
Step 2: Determine the area of the back rectangle
[tex]A = l * w[/tex]
[tex]A = 10\ cm * 5\ cm[/tex]
[tex]A = 50\ cm^2[/tex]
Step 3: Determine the area of the top rectangle
[tex]A = l * w[/tex]
[tex]A = 10\ cm * 13\ cm[/tex]
[tex]A = 130\ cm^2[/tex]
Step 4: Determine the area of the triangle
[tex]A = \frac{h*b}{2}[/tex]
[tex]A = \frac{5\ cm * 12\ cm}{2}[/tex]
[tex]A = \frac{60\ cm^2}{2}[/tex]
[tex]A = 30\ cm^2[/tex]
Step 5: Determine the surface area
[tex]120\ cm^2 + 50\ cm^2 + 130\ cm^2 + 2(30\ cm^2)[/tex]
[tex]360\ cm^2[/tex]
Answer: [tex]360\ cm^2[/tex]
Find the area of a sector of a circle with radius 6 centimeters and central angle 4pi/3 radians.
The area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.
What is a circle?It is defined as the combination of points that and every point has an equal distance from a fixed point (called the center of a circle).
We have the radius of the circle r = 6 centimeters
Central angle = 4π/3 = 240°
We know the area of the sector :
[tex]\rm =\dfrac{\theta}{360\°}\pi r^2[/tex]
[tex]\rm =\dfrac{240\°}{360\°}\pi (6)^2[/tex]
= 0.667×3.1415×36
= 75.43 square centimeters
Thus, the area of the sector is 75.43 centimeters if the radius is 6 centimeters and the central angle 4pi/3 radians.
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hello, can anyone help me, please?
Find the circumference and area of the circle. Each unit on the graph measures 1 centimeter. Round to the nearest tenth, if necessary.
The circumference of the circle, to the nearest tenth, is: 47.1 cm
The area of the circle, to the nearest tenth, is: 176.7 cm²
What is the Area and Circumference of a Circle?Circumference = 2πrArea = πr², where r is the radius of the circle.Since each unit = 1 cm on the graph, radius = 7 1/2 = 7.5 cm.
Circumference = 2πr = 2π(7.5)
Circumference = 47.1 cm
Area = πr² = π(7.5²) = 176.7 cm²
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What is the measure of angle B in the triangle?
This triangle is not drawn to scale.
Enter your answer in the box.
m∠B=
°
Answer:
Step-by-step explanation:
(2x-30) + 40 + (x+20)=180
=3x+30=180
=3x=150
=x=50
B=70
In 60 seconds, Darrell walks 90 meters.
Select the two answers that describe the unit rate at which he walks.
1.5 seconds per meter
1.5 meters per second
90 meters per second
112 meters every second
30 meters every second
30 seconds per meter
50 POINTS AND BRAINLIEST! PLEASE HELP!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating
component you need to handle them separately.
What is 0.47 expressed as a fraction in simplest form?
What is 0.47_ expressed as a fraction in simplest form?
What is 0.47__expressed as a fraction in simplest form?
3 parts to this question! answer all honestly and show ur work!
The computation shows that the value of 0.47 when expressed as a fraction in its simplest form is 47/100.
How to convert a decimal to a fraction?Multiply by 100/100 and keep in the form without division.
A. (0.47)
0.47 x 100/100
= 47/100
B. (-0.47)
= -0.47 x 100/100
= -47/100
C. (0.--47)
A minus sign multiplied by another minus sign makes a positive sign
= 0.--47 ⇒ 0.47
= 47/100
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What is the volume of the composite figure? 1,200 units3 4,400 units3 5,040 units3 6,000 units3
Answer:
6,000 units3
Step-by-step explanation:
got it rt
What is the cost of each filter if eight filters cost $39.922?
Please help!
Answer:
Your answer is exactly 100% $4.99!
Step-by-step explanation:
Answer:
$4.99 is your answer.
Step-by-step explanation:
Have a great morning, afternoon or night!
~Dreamer1331~
*Please mark BRAINLIEST if correct and you feel I deserve it, thank you!*
What are the coordinates of point Q’?
Q’( –3, 5)
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)
Answer:
Q’(–5, –3)
Step-by-step explanation:
This is because the pints of q are this.
Solve for the vaule of x:-
[tex]2x+3 = 5[/tex]
Answer:
The value of x = 1
Step-by-step explanation:
2x+3 = 5
=> 2x = 5-3
=> 2x = 2
=> x = 2/2
=> x = 1
Answer:
x = 1Step-by-step explanation:
In this question we are given with an equation that is 2x + 3 = 5 . And we are asked to find the value of x .
Solution : -
[tex] \longmapsto \qquad \: 2x + 3 = 5[/tex]
Step 1 : Subtracting with 3 on both sides :
[tex] \longrightarrow \qquad \:2x + \cancel{ 3} - \cancel{3} = 5 - 3[/tex]
On further calculations, We get :
[tex] \longrightarrow \qquad \:2x = 2[/tex]
Step 2 : Dividing with 2 on both sides :
[tex] \longrightarrow \qquad \: \dfrac{ \cancel{2}x}{ \cancel{2}} = \cancel{\dfrac{2}{2} }[/tex]
On calculating further, We get :
[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \sf{x = 1}}}} \quad \bigstar[/tex]
Henceforth , value of x is 1 .Verifying : -
Now we are checking our answer by substituting value of x in the given equation . So ,
2x + 3 = 52 ( 1 ) + 3 = 52 + 3 = 55 = 5L.H.S = R.H.SHence , Verified .Therefore , our answer is correct .
#Keep LearningWill mark brainlyest!
Answer: the answer is D which is 4cm2
A rectangular prism is pictured below. What is the volume of the rectangular prism?
16 ½ 4 cm 9¼
A. 89 ¼cm³
B. 203 ½cm³
C. 576 ⅛ cm³
D. 610 ½cm³
Answer:
D: 610 ½cm³
Step-by-step explanation:
16 ½= 16.5
9 ¼= 9.25
V= L x W x H
V=16.5 x 4 x 9.25
16.5x4=66
66x9.25=610.5cm³
610.5cm³ = 610 ½cm³
there is your answer
THAT IS THE CORRECT ANSWER....
A QUESTION
ARE U HIGH SCHOOL?
At the state fair,
a person must be at least 138 centimeters tall
to ride the roller coaster. Billy wants to ride
the coaster. He is 4 feet 7 inches tall. Is Billy tall
enough to ride the coaster? Explain.
Answer:
Yes
Step-by-step explanation:
Billy is 4'7
138 centimeters in feet is 4'5
sp billy is 2 inches over the requirment.
Can someone help me please?
Answer:
its too small to see
Step-by-step explanation: