A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a sample of 100 items, 55 are defective. The lower bound of a 99% confidence interval for the proportion of defectives is ________.
Answer:
The lower bound of a 99% C.I for the proportion of defectives = 0.422
Step-by-step explanation:
From the given information:
The point estimate = sample proportion [tex]\hat p[/tex]
[tex]\hat p = \dfrac{x}{n}[/tex]
[tex]\hat p = \dfrac{55}{100}[/tex]
[tex]\hat p[/tex] = 0.55
At Confidence interval of 99%, the level of significance = 1 - 0.99
= 0.01
[tex]Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576[/tex]
Then the margin of error [tex]E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}[/tex]
[tex]E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}[/tex]
[tex]E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}[/tex]
[tex]E = 2.576 \times0.04975[/tex]
E = 0.128156
E ≅ 0.128
At 99% C.I for the population proportion p is: [tex]\hat p - E[/tex]
= 0.55 - 0.128
= 0.422
Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422
Help me pleaseee (10 points)
Answer:
Step-by-step explanation:
tan(16)=125/a
tan(16)=35.8 (DC)
tan(7)=125/a
tan(7)=15.3
35.8-15.3=20.5
Sorry if that's incorrect, my best is 20.5 feet.
======================================================
Work Shown:
Let
x = length of AD in feet
y = length of DC in feet
x and y are positive real numbers.
For now, focus on triangle BCD. Ignore point A and its associated angle.
tan(angle) = opposite/adjacent
tan(D) = BC/DC
tan(16) = 125/y
y*tan(16) = 125
y = 125/tan(16)
y = 435.926805480113
y = 435.926805
The value of y is approximate
Now focus on triangle ABC. Ignore point D and its associated angle.
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = BC/(AD+DC)
tan(7) = 125/(x + y)
(x+y)*tan(7) = 125
x*tan(7) + y*tan(7) = 125
x*tan(7) = 125 - y*tan(7)
x = ( 125-y*tan(7) )/( tan(7) )
x = ( 125-435.926805*tan(7) )/( tan(7) )
x = 582.116498496824
x = 582
The distance from A to D is approximately 582 feet.
help i asked this 3 times i will do brainliest no troll answers!
Answer:
Number two
Exact Form:
11/2
Decimal Form:
5.5
Mixed Number Form:
5
1/2
Step-by-step explanation:
sorry I do not know one hope this helps please mark brainliest
Solve for w. You must write your answer in fully simplified form.
19 = -8w
Answer:
The answer is 11
HELP PLS! It’s question 15
Answer:
A: C = 15N
Step-by-step explanation:
30/2 = 15 (the cost of 1 class)
Helppppppp:))))))).......
Answer:
y=6 is the correct answer
Jay has spent 3/8 of his life working for his current company. If Jay has been 8 3working for his current company for 15 years, how old is he?
Answer:
40 years old
Step-by-step explanation:
If Jay has spent 3/8 of his life working for his current company and it is stated that he has been at the current company for 15 years, we can divide 15 years by 3 to find out how much a single part of the fraction (1/8) is.
15 / 3 = 5 years
5 years = 1/8
Now that we know how many years is a single part of his life we simply multiply this value by 8 to calculate how many years would equal his total life or in other words how old Jay currently is.
5 years * 8 = 40 years old
y = 3x + 3 using a
{-2, 1, 2}
Answer:
y = 3x + 3 using a
{-2, 1, 2}
Step-by-step explanation:
can i get the answer. If i do I will get into harvard
Answer:
its ur fault that you did it late
Step-by-step explanation:
but the answer is 2 1/9
TEST QUESTION: Jane is making bows for the holidays. One bow requires 23 yard of ribbon. Jane has 13 yards of ribbon. What is the GREATEST number of projects Jane can complete with this ribbon?
Answer:
this makes no sense she can make any bows
The sixth-grade chorus has a boy-to-girl ratio of 3:8. Which of the following ratios is equivalent to this ratio?
help plzzz due in 15 min i have moe questions left
What are the answers? Also, an equivalent ratio would be multiplying/dividing both the 3 and the 8 by the same number
Complete the conversion. Enter your answer in the box
8 pt =
С
find the values of a,b, or c for y = x^2 - 9x +18 please help!!
Answer:
It's X^1 = 3, x^2 =6
Step-by-step explanation:
The LA Dodgers hit the most homeruns in 2014. The number of homeruns accounted for 6% of the entire major League baseball homerun count. If 583 total homeruns were hit, approximately how manu did the LA Didgers hit
Answer:
35 homeruns
Step-by-step explanation:
583*0.06=349.8-->34.98-->35
Answer:
The LA Dodgers hit 35 homeruns approximately in the league in year 2014.
Step-by-step explanation:
Given that:
Percentage of homeruns hit by LA Dodgers = 6% of the entire League
Total homeruns hit in the league = 583 homeruns
Homeruns hit by LA Dodgers = [tex]\frac{6}{100}*583[/tex]
Homeruns hit by LA Dodgers = 0.06 * 583
Homeruns hit by LA Dodgers = 34.98
Hence,
The LA Dodgers hit 35 homeruns approximately in the league in year 2014.
Can someone please explain this to me and help me
Answer:
ok
Step-by-step explanation:
please no fake answers ,I need help:)
Answer:
A. 2.10b + 12.99 = 21.39; 4 bottles
Step-by-step explanation:
The b represents bottles of water, at the end of the equation. If each bottle is $2.10, and there were 4 bottles brought, $2.10 * 4 = $8.40, and $8.40 + $12.99 is $21.39.
Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.
Translation: (x, y)→(x−3, y)
Reflection: in the line y=−1
Answer:
Step-by-step explanation:
Points R(4,1) S(7,3) T(6,4) after translation
R(4-3, 1) S(7-3, 3) T(6-3, 4)
R'(1, 1) S'(4, 3) T'(3, 4)
Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection
R''(1, -3) S''(4, -5) T''(3, -6)
Which choice could be used in proving that the given triangles are similar?
Answer: . To prove triangles are similar, you need to prove two pairs of corresponding angles are congruent
Step-by-step explanation:
SSS similarity postulate
The SSS similarity postulate says that if the lengths of the corresponding sides of two triangles are proportional then the triangles must be similar.
In the given figure , we have two triangles ΔABC and ΔXYZ such that the corresponding sides of both the triangles are proportional.
i.e.
Then by SSS-similarity criteria , we have
ΔABC ≈ ΔXYZ
BRAINLIEST PLEASE????
Answer: the answer is A
Step-by-step explanation: I just took it on usa test prep
WILL GIVE BRAINLIEST. Just fill in the blanks
Answer:
a) 5
b) 3
c) 1
d) -1
Step-by-step explanation:
Solution Steps:
______________________________
1.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(-1)+3[/tex]
Multiply −2 and −1 to get 2. Add 2 and 3 to get 5. [tex]y=5[/tex]2.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(0)+3[/tex]
Multiply −2 and 0 to get 0. Add 0 and 3 to get 3. [tex]y=3[/tex]3.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(1)+3[/tex]
Multiply −2 and 1 to get −2. Add −2 and 3 to get 1. [tex]y=1[/tex]4.) To figure out y, you have to plug in the x value into the equation given:[tex]y=-2(2)+3[/tex]
Multiply −2 and 2 to get −4. Add −4 and 3 to get −1. [tex]y=-1[/tex]______________________________
please help I will have to do 7th-grade again if I don't pass I need help
please answer the questions below so I don't fail
it is do tomorrow
Answer:
number7 9452.425 and number 4 2 hrs
Step-by-step explanation:
85+15 is 100 so to get one hundred percent you alr have 85 but you need to find 15
find what 30percent of 400 it is 120 if hes going 60 mph:
120/60 is 2
so it took him 2 hrs
There are 26 letters in the
alphabet. What is the probability
that a letter chosen at random is
not in the word ENCYCLOPEDIA?
Answer:
1/12 chance
Step-by-step explanation:
Encyclopedia
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
The bold letters are the letters in the word Encyclopedia.
Wich ordered pair is a solution to the followimg inequality?
[tex]y\leq \frac{2}{5}x-2[/tex]
(5,0)
(0,5)
(-2,5)
(-5,2)
Answer:
Option A: (5,0)
Step-by-step explanation:
Given
[tex]y \leq \frac{2}{5}x-2[/tex]
Required
Select an ordered pair
Option A: (5,0)
This means
[tex]x = 5[/tex] [tex]y = 0[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]0 \leq \frac{2}{5} * 5 - 2[/tex]
[tex]0 \leq 2 - 2[/tex]
[tex]0 \leq 0[/tex]
This is a true statement.
Option B: (0,5)
This means
[tex]x = 0[/tex] [tex]y = 5[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]5 \leq \frac{2}{5}* 0 -2[/tex]
[tex]5 \leq 0 -2[/tex]
[tex]5 \leq -2[/tex]
This is a false statement.
Option C: (-2,5)
This means
[tex]x=-2[/tex] [tex]y = 5[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]5 \leq \frac{2}{5}* -2 -2[/tex]
[tex]5 \leq \frac{-4}{5} -2[/tex]
[tex]5 \leq \frac{-4-10}{5}[/tex]
[tex]5 \leq \frac{-14}{5}[/tex]
[tex]5 \leq -2.8[/tex]
This is a false statement.
Option D: (-5,2)
This means
[tex]x=-5[/tex] [tex]y = 2[/tex]
Substitute these values in [tex]y \leq \frac{2}{5}x-2[/tex]
[tex]2 \leq \frac{2}{5}* -5 -2[/tex]
[tex]2 \leq -2 -2[/tex]
[tex]2 \leq -4[/tex]
This is a false statement.
Only option A represents a true statement,
Hence, option A is a solution to the inequality
A jar contains 12 pink, 8 yellow, 6 blue and 10 green jelly beans. If a Jelly Bean is
chosen at random, find each probability as a DECIMAL rounded to the nearest
HUNDREDTHS place.
Answer:
Pink: 0.33
Yellow: 0.22
Blue: 1.67
Green: 0.28
Step-by-step explanation:
Total of Jelly Beans: 36
Pink: [tex]\frac{12}{36}[/tex] = 0.33
Yellow: [tex]\frac{8}{36}[/tex] = 0.22
Blue: [tex]\frac{6}{36}[/tex] = 1.67
Green: [tex]\frac{10}{36}[/tex] = 0.28
The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In a bag, there were 137 red Skittles, 39 orange ones, 130 yellow ones, 39 green ones, 43 blue ones and 112 purple ones. Do the Skittles in the bag match the required color distribution?
Answer:
No
Step-by-step explanation:
Given that:
Percentage of blue, orange and green = 10%
Percentage of yellow, red and purple = 23.3333%
Number of skittles in bag by color :
Red = 137
Orange = 39
Yellow = 130
Green = 39
Blue = 43
Purple = 112
According to the color distribution :
Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.
Total number of skittles :
(137 + 39 + 130 + 39 + 43 + 112) = 500
10% of the total = 0.1 * 500 = 50
Hence,
We should have 50 blue, orange and green skittles
23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)
An ice cream shops uses 28 gallons of milk daily. How many cups of milik does the ice cream shop use daily
448 cups
44 cups
112 cups
0328 049
HELP PLEASEEEEEEEEEEEEEEEEEEEEEE ITS A GRADE
Answer:
as x increases, y increses
the parabola grows wider and taller, meaning that the y and x values will both increase:)
Answer:
B for the first graph (as x increases, y increases), D for the second graph (as x increases, y decreases), D for the third graph (minimum at y = -9), and A for the forth graph (the graph opens up because the a value in the equation is positive)
Solve.
6x - 28 =-76. X=
Answer:
6x-28+28=-76+28
6x=-48
6x÷6=x
-48÷6 =-8
x=-8
Step-by-step explanation:
correct me or wrong
A concession stand sells hamburgers. The revenue from the hamburgers is (30x + 45) dollars. The price of a hamburger is $5. Write an expression that represents the number of hamburgers sold.
Answer:
5(6x+9)
Step-by-step explanation:
(30x+45)
30=(5)6x
45=(5)9
5(6x+9)
You flip a coin 12 times. What is the probability of getting only one tails in all 12 tries?
Answers are in standard notation
Answer: Aproxamatly 18.999999999999999
Step-by-step explanation:
The stock of Company A lost 1.5% today to $19.70. What was the opening price of the stock in the beginning of the day?
Answer:
23.78
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