Step-by-step explanation:
Here are the solutions:
For the sample size of 300, with 27 defectives, the sample proportion is p-hat = 27/300 = 0.09.
For a 90% confidence interval of a proportion, use z = 1.645.
The limits of the interval are then:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.0628
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.1172
The 90% confidence interval is then (0.0628, 0.1172)
For the larger sample, assuming that the same proportion of defectives is found (p-hat = 0.09), the new confidence interval would be:
Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0867
Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0933
In this case, the 90% confidence interval is (0.0867, 0.0933)
Thanks,
What is the value of x in the equation 10 = 3/5 x + 1?
A. 6
D. 16
B. 7 C. 15
Use the following dot plot to answer the questions.
What is the mean of the set?
If an additional dot is added to the set in the 3 column, how will the mean change? What will the new mean be?
Answer:
3.4
Decrease ; 3.375
Step-by-step explanation:
Mean = Σfx / Σf
Σfx = (1 * 2) + (2 * 2) + (3 * 3) + (4 * 9) = 51
Σf = 1 + 2 + 3 + 9 = 15
Mean = 51 / 15 = 3.4
If 1 more dot is added to the 3rd column:
Σfx = (1 * 2) + (2 * 2) + (3 * 4) + (4 * 9) = 54
Σf = 1 + 2 + 4 + 9 = 16
Mean = 54 / 16 = 3.375
A high school student volunteers to
present a report to the administration about the types of lunches students prefer.
He surveys members of his class and records their choices. What type of sampling did the student use?
systematic random sampling
voluntary sampling
• convenience sampling
stratified sampling
Answer:
convenience sampling
Step-by-step explanation:
Help pls might give brainlist also show work if needed!
Answer:
The mean is 21.
The median is 21
There is no mode here.
Step-by-step explanation:
How many degrees Fahrenheit is -20°C?
answer:
-4°f
step-by-step explanation:
(-20°c × 9/5) + 32
= -4°f
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
A storage tank contains a liquid radioactive element with a half-life of 96 years. It will be relatively safe for the contents to leak from the tank when 0.02% of the
radioactive element remains. How long must the tank remain intact for this storage procedure to be safe?
The tank must remain intact for lears.
(Round the base of the exponential function to four decimal places. Then round the final answer to the nearest year as needed.)
Answer:
t = 1180 years
Step-by-step explanation:
We will solve this using the radioactive decay formula which is;
A = A_o × 2^(-t/h)
Where;
A = Amount of liquid remaining after time (t)
A_o = initial amount of liquid at initial time
t = time of decay
h = half-life of the liquid
We have;
A_o = 1(we assume it is 100% which is 1)
A = 0.02% = 0.0002
h = 96 years
Thus;
0.0002 = 1 × 2^(-t/96)
0.0002 = 2^(-t/96)
(-t/96)log 2 = log 0.0002
(-t/96) = (log 0.0002)/log 2
(-t/96) = -12.2877
t = 96 × 12.2877 (negative has canceled out)
t = 1179.6192
To the nearest year gives;
t = 1180 years
What is the volume of an 8-inch by 4-inch by 44-inch rectangular box?
Answer:
1408
Step-by-step explanation:
Answer:
1,408 cm³.
Step-by-step explanation:
To find the volume of a rectangular prism, or in this case, a rectangular box, multiply the length, width, and height.
[tex]4*8*44=1,408 in^3.[/tex]
Therefore, the volume of the rectangular box is 1,408 cm³.
Put the following equation in slope-intercept form: y−5=7/4(x-1)
Answer:
y=7/4x+2
Step-by-step explanation:
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
y − 5 = 7/4(x − 1)
Convert the equation into a slope-intercept form. Then we have
y − 5 = 7/4(x − 1)
y − 5 = (7/4)x − (7/4)
y = (7/4)x − (7/4) + 5
y = (7/4)x + 13/4
The linear equation in the slope-intercept form will be y = (7/4)x + 13/4.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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H
45
G
8
F
3
Ε
Find
cos FHE.
Answer:
no sé pero lo nesesito porfavor
Answer:
Its B. 4/5
Step-by-step explanation:
on edge 2020 :)
Find the perimeter X(-2,1) Y(4,3) Z(5,-1)
Answer:
17.728
Step-by-step explanation:
Which values are solutions of the inequality 5 < y -8
8 , 9. , 13. , 15. , 20
Answer:
5 is greater than y-8 since 5 is positive it + in the begging +5 while - 8 is less than 0 because it has - in the begging
Answer: 15 and 20
Step-by-step explanation:
just did this
what is the approximate volume for a ice cream cone with a radius of 3 and a diameter of 14
Answer:
131.95
Step-by-step explanation:
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]v = \frac{1}{3} \times 3.142 \times {3}^{2} \times 14 \\ v = \frac{1}{3} \times 3.142 \times 9 \times 14 \\ v = 131.964 {cm}^{3} [/tex]
A Union worker is to see an increase in pay of 2.5% per year next year. Her salary is $41,000/yr. If inflation was predicted to be 1.9% for the upcoming year, how much more purchasing power would she have in dollars next year?
Answer:
i need points rq thanks so much
Step-by-step explanation:
imma go waste these points now
She'll have $246 more purchasing power.
Current salary per year = $41000
Next year salary = $41000 × (2.5% × $41000)
= $41000 + (0.025 × $41000)
= $41000 + $1025
= $42025
Effect of Inflation will be:
= $41000 + (1.9% × $41000)
= $41000 + (0.019 × $41000)
= $41000 + $779
= $41779
Therefore, the difference will be:
= $42025 - $41779
= $246
Read related link on:
https://brainly.com/question/21659608
NEED 22-24 AND 31-33 FAST
Answer:
22-24= -2
31-33= -2
Step-by-step explanation:
Find the area of the regular octagon
Answer:
8 is the answer of this question
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAIN THING IF ITS CORRECT NO LINKS. PLEASE
Answer:
1. 21 +35
2.5
Step-by-step explanation:
Answer:
1.) 21 + 35
2.) 5
Step by step explanation:
Josie makes peanut butter sandwiches. She uses 1/8 cup of peanut butter on each sandwich. How many cups of peanut butter dose she need for 9 sandwiches?
Answer:
9/8
Step-by-step explanation:
.........................
Find the surface area of the cone. Round answer to the nearest tenth.*
Answer:
628.319 rounded= 628.3
Step-by-step
Find the absolute value
|-7|
Answer:
7
Step-by-step explanation:
hello :
|-7| = - (-7) = 7
Answer:
the absolute value of l-7l is 7
hope it helps.
Which one is greater?
1.74 × 0.84
OR
1.79 × 0.69
- NO LINKS DOCS OR FILES ETC
Answer:
1.75 * 0.84
Step-by-step explanation:
1.74 * 0.84 = 1.4616
1.79 * 0.69 = 1.2351
Answer:
1.74 x 0.84 is greater
Step-by-step explanation:
1.74 x 0.84 = 1.4616
while
1.79 x 0.69 = 1.23509
Convert radians to degrees.
-i !!!
Answer:
1 radian = 57.2958 degrees i dont know if thats
what you wanted to know?
SOLVE
ROUND TO THE NEAREST CENT IF NECESSARY
A UNIÓN CONTRACT CALLS FOR 6.9% SALARY INCREASE
FOR ALL EMPLOYEES
DETERMINE THE INCREASE
FOR A WORKER WHO IS CURRENTLY MAKING $32,120
WILL GIVE
BRAINLIST
X
X
X
X
The radius of a circle is 6.1 millimeters. What is the circle's area?
[tex]area = \pi \times {r}^{2} \\ area = 3.142 \times {6.1}^{2} \\ area = 3.142 \times 37.21 \\ area = 116.91 {mm}^{2} [/tex]
17/3 divided by 2/3 help please!:))
Answer:
0.94444444444
The identity (x2 + y2) = (x2 - y2) + (2xy)? can be used to generate Pythagorean triples. What
Pythagorean triple could be generated using x=8 and y=3
Answer: 5329, 3025, 2304
Step-by-step explanation:
I just did the test
Pythagorean triple generated is 5329
What is Pythagorean triple?
A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c². Such a triple is commonly written, and a well-known example is. If is a Pythagorean triple, then so is for any positive integer k. A primitive Pythagorean triple is one in which a, b and c are coprime
We have,
([tex]x^{2}[/tex]+[tex]y^{2}[/tex] )=( [tex]x^{2}[/tex]-[tex]y^{2}[/tex]) + [tex]2xy[/tex]
Using Points,
x =8, y=3
According to the questions
Taking square in both sides
[tex](x^{2} + y^{2}) ^{2}[/tex] = [tex](x^{2} - y^{2} ) ^{2}[/tex] + [tex](2xy)^{2}[/tex]
when, x = 8, and y = 3
[tex](8^{2} + 3^{2} )^{2}[/tex] = [tex](8^{2} - 3^{2}) ^{2}[/tex] + [tex](2.8.3)^{2}[/tex]
= 3025 + 2304
= 5329
Hence ,Pythagorean triple is 5329
To learn more about Pythagorean triple from here
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PLEASE HELPPPPPP :(((((
answer 7 and 8 for 16 points
9514 1404 393
Answer:
7) 42 yd²
8) 32 in²
Step-by-step explanation:
Put the given numbers in the appropriate area formula and do the arithmetic.
__
7) The area of a triangle is given by the formula ...
A = 1/2bh . . . . . where b is the base length and h is the height
A = 1/2(12 yd)(7 yd)
A = 42 yd²
__
8) The area of a parallelogram is given by the formula ...
A = bh
A = (8 in)(4 in)
A = 32 in²
A biker traveled 20 miles in 4 hours. A unit rate to describe this would be 5 miles per hour. What is another unit rate in this situation?
1. 1/5 mile per hour
2. 1/5 hour per mile
3. 1 mile per hour
4. 5 hours per mile
Answer:
20 miles) / (4 hours) = (20/4) (miles/hours) = 5 miles per hour
(4 hours) / (20 miles) = (4/20) (hours/miles) = 0.2 hours per mile =
12 minutes per mile
Ms. Thomas has a class of 16 students. She can spend 24 on each student to buy math supplies for the year. She first buys all of her students calculators, which costs a total of 79.04 . After buying the calculators, how much does she have left to spend on each student?
Answer: 19.06
Step-by-step explanation:
If the triangles are similar, what is the value of x?
Answer:
Step-by-step explanation:
125
Answer:
[tex]x=42[/tex]
Step-by-step explanation:
[tex]suppose, a=?[/tex]
[tex]a+126+16=180[/tex]
[tex]a+142=180[/tex]
[tex]a=180-142[/tex]
[tex]a=38[/tex]
[tex]NOW,[/tex]
[tex]a+16+3x=180[/tex]
[tex]38+163x=180[/tex]
[tex]54+3x=180[/tex]
[tex]3x=180-54[/tex]
[tex]3x=126[/tex]
[tex]x=126/3[/tex]
[tex]x=42[/tex]
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hope it helps..
have a great day