Answer:
The margin of error for the 90% confidence interval is of 0.038.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.
This means that [tex]n = 400, \pi = \frac{280}{400} = 0.7[/tex]
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Give the margin of error for the 90% confidence interval.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.645\sqrt{\frac{0.7*0.3}{400}}[/tex]
[tex]M = 0.038[/tex]
The margin of error for the 90% confidence interval is of 0.038.
evaluate the expression x-9=3 (solve)
Answer:
x = 12
Step-by-step explanation:
[tex]x - 9 = 3 \\ x = 3 + 9 \\ [/tex]
[tex]\boxed{Answer:{\boxed{\green{x = 12}}}}[/tex]
Find the area of the composite figure?
Answer:
400
Step-by-step explanation:
25*35=700
10*30=300
700-300=400
What were the
prominent primary, secondary and tertiary effects the disaster brought?
Identify the coordinates for point C Type your answer in the form (#.#), without spaces.
Answer:
(0,2) :)
Step-by-step explanation:
What is the absolute value of 86 1/4
Write your answer as a mixed number.
Answer:
it is 84 1/4
Step-by-step explanation:
The exact form is 337/4
The decimal form is 84.25
A jar has 3 green jelly beans and 5 red jelly beans. What’s the odds of selecting a green jelly bean?
A 5-pound bag of sugar costs $3.90. What is the unit rate?
fine the Value of t in the equation
Answer:
14.4
Step-by-step explanation:
6 x (t1/3 + t1/2) = 12(6)
2t + 3t = 72
5t = 72 /5
t= 14.4
Find the surface area of the rectangular prism be sure to include the correct unit in your answer
Answer:
SA = 292 m²
Step-by-step explanation:
SA = (2x6x8)+(2x7x6) + (2x7x8) = 292 m²
Square 1 has a area of 24 square units if square 2 is half the size what is the ratio of the area of square one to square two?
Answer:
Step-by-step explanation:
I'm going to guess that 1/2 the size means the sides are 1/2 the size.
Square 1 has an area of 24. The sides are s, so the area is found by using s^2
The second square is made from sides that are 1/2 s
Area = 1/2 s * 1/2 s
Area = 1/4 s^2
Area 1 / area 2 = 24 / x^2 = s^2 / 1/4 s^2 = 1/0.25
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).
Job Satisfaction Score Probability
IS Senior Executives IS Middle Managers
1 0.06 0.04
2 0.09 0.10
3 0.03 0.13
4 0.42 0.45
5 0.40 0.28
(a) What is the expected value of the job satisfaction score for senior executives?
(b) What is the expected value of the job satisfaction score for middle managers (to 2 decimals)?
Answer:
a) The expected value of the job satisfaction score for senior executives is:
= 4.01
b) The expected value of the job satisfaction score for middle managers is:
= 3.83
Step-by-step explanation:
a) Data and Calculations:
Job Satisfaction Probability
Score
IS Senior Executives IS Middle Managers
1 0.06 0.04
2 0.09 0.10
3 0.03 0.13
4 0.42 0.45
5 0.40 0.28
Low of 1 = very dissatisfied
High of 5 = very satisfied
Job Satisfaction IS Senior Executives IS Middle Managers
Score Probability Expected Value Probability Expected Value
1 0.06 0.06 (1 * 0.06) 0.04 0.04 (1 * 0.04)
2 0.09 0.18 (2 * 0.09) 0.10 0.20 (2 * 0.10)
3 0.03 0.09 (3 * 0.03) 0.13 0.39 (3 * 0.13)
4 0.42 1.68 (4 * 0.42) 0.45 1.80 (4 * 0.45)
5 0.40 2 (5 * 0.40) 0.28 1.40 (5 * 0.28)
Expected value 4.01 3.83
Place the indicated product in the proper location on the grid.
(2x - )2
Answer: it will be (4x-)
explanation: because the 2 that is outside the bracket will affect the 2 that is inside so it will be (4x-)
Answer:
Hope it helps u
Step-by-step explanation:
FOLLOW MY ACCOUNT PLS PLS
which if the following equations fit this graph?
The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds
Answer:
After 4 seconds, the object will have fallen 512 feet.
Step-by-step explanation:
Given that the distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped, to determine, if an object falls 288 feet in 3
seconds, the distance the object falls in 4 seconds, the following calculation must be performed:
288/3 ^ 2 = X
288/9 = X
32 = X
X / 4 ^ 2 = 32
X / 16 = 32
X = 32 x 16
X = 512
Thus, after 4 seconds, the object will have fallen 512 feet.
HELP PLEASE PLEASE ASAP
9514 1404 393
Answer:
150 square units
Step-by-step explanation:
Each of the six squares has an area of 5×5 = 25 square units. (You can count them, if you wish.)
Then the total area is ...
6×(25 square units) = 150 square units
What's the inequality?
Answer:
I believe the answer is D coorrect me if im wrong
Step-by-step explanation:
if im right brainliest?
or 5 stars and heart
PLEASE ANSWER ASAP FOR BRAINELST!!!!!!!!!!!!!!!!!!!!! :D
please show work if you can. thank you in advance! (NO LINKS OR YOU WILL BE REPORTED!!!!)
Answer:
True
True
False
False
Step-by-step explanation:
Not absolutely positive, but I believe this is correct.
what are 2 challenges that Will Smith faced
Answer:
Will Smiths wife cheated on him!
Step-by-step explanation:
Which is equivalent to the expression?
(3x - 14)^2
a. 9x^2 - 84x + 196
b. 9x^2 + 84x + 196
c. 9x^2 + 196
d. 9x^2 - 196
Answer:
A
Step-by-step explanation:
(3x - 14)^2
9x^2 - 42x -42x +196
9x^2 - 84 +196 is the correct answer
What is the sum of 50.249 + 21.3
Answer:
71.549
Step-by-step explanation:
Answer:
The sum of 50.249 + 21.3 is 71.549.
Step-by-step explanation:
50.249 + 21.3 can be written as (50 + 20) + (0 + 1) + (0.2 + 0.3) + 0.049, which makes calculating the sum easier. 50 + 20 = 70, 0 + 1 = 1, 0.2 + 0.3 = 0.5, and you still have a 0.049. Add the numbers all together and you'll get that the sum of 50.249 and 21.3 is 70 + 1 + 0.5 + 0.049 or 71.549.
"Lily wants to buy a tablet that costs $120. Her dad said that
he would pay 30% of the cost. How much money will her
father contribute towards the tablet?"
Answer:
36$
Step-by-step explanation:
120×0.3 =36$
or
120=100%
1.2=1% /×30
36=30%
$30 will be contributed by her father
How do I solve this???
Answer:
Step-by-step explanation:
can someone show work and explain ??
Answer:
481 cubic inches
Step-by-step explanation:
Volume of the figure = Volume of the triangular prism + rectangular prism
Volume of the triangular prism = Base area * height
Volume of the triangular prism = (1/2*5*3) * 6
Volume of the triangular prism = 15/2 * 6
Volume of the triangular prism = 15 * 3
Volume of the triangular prism = 45in³
Volume of the rectangular prism = 16*7*3
Volume of the rectangular prism = 336in³
Volume of the figure = 45+336
Volume of the figure = 481 cubic inches
31-(75 divided by 3) divided by 5
Answer:
The answer is: 26
Step-by-step explanation:
How i got this answer is i used a method called P.E.M.D.A.S ( parenthesis, exponents, multiplication, division, addition, subtraction). So i first did what was in the parenthesis (75 / 3= 25). Next I did division ( 25 / 5=5). Lastly, I did Subtraction ( 31-5 = 26) and so your left off with the answer 26.
~I really hope this explanation helped, have a gr8 day/night my friend!~
Answer:
I got 26 hope this helps
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Can someone help I know it's easy. ( picture attached)
Answer:
B 125.6
Step-by-step explanation:
We can use the formula for the circumference to solve.
C=2[tex]\pi[/tex]r
C=2[tex]\pi[/tex](20)
C=(6.28)(20)
C=125.6
A rectangle has an area of 1008
square feet. Its width is six feet less
than twice the length. Find the
measures of the length and width of
the rectangle.
9514 1404 393
Answer:
length: 24 ftwidth: 42 ftStep-by-step explanation:
The area is the product of length and width. If L represents the length, then the width is (2L -6), and the area is ...
L(2L -6) = 1008
L² -3L -504 = 0 . . . . . divide by 2, put in standard form
(L -24)(L +21) = 0 . . . . factor
L = 24 . . . . makes the first factor zero
W = 2L -6 = 2(24) -6 = 42
The length of the rectangle is 24 feet; the width is 42 feet.
Which number describes the median of the data given in the table?
Answer:
how can i answer?
Step-by-step explanation:
The factory building manager at Delectable Delights, Jason Short, is concerned that the new contractor he hired is taking too long to replace defective lights in the factory workspace. He would like to perform a hypothesis test to determine if the replacement time for the lights under the new contractor is in fact longer than the replacement time under the previous contractor, which was 3.2 days on average. He selects a random sample of 12 service calls to replace defective lights and obtains the following times to replacement (in days). Use a significance level of
0.05. 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
1. Define μ in the context of the problem and state the appropriate hypotheses. (5 pts)
2. Regardless of your results in Part B, calculate the appropriate test statistic by hand. Write out all your steps.
3. What is your decision regarding the null hypothesis? (In other words, do you reject or fail to reject and why?)
4. Write a final concluding statement to Jason giving the results of the hypothesis test. (In other words, write the final summary statement.)
Answer:
H0 : μ = 3.2
H1 : μ > 3.2
1.982
We fail to reject the Null ;
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
Step-by-step explanation:
μ = average time taken by the previous contractor. ; μ = 3.2
H0 : μ = 3.2
H1 : μ > 3.2
Sample size, n = 12 ;
X = 6.2 7.1 5.4 5.5 7.5 2.6 4.3 2.9 3.7 0.7 5.6 1.7
xbar = Σx / n = 53.2 / 12 = 4.43
Standard deviation, s ; using a calculator :
s = 2.15
B.)
The test statistic :
(xbar - μ) ÷ (s / sqrt(n))
(4.43 - 3.2) ÷ (2.15 / sqrt(12))
1.23 ÷ 0.62065
= 1.982
C.)
Decision Region :
If Pvalue < α ; Reject the null
α = 0.05
Pvalue :
P(x < 1.982) = 0.9762
0.9762 > 0.05 ; Hence, we fail to reject the Null
There is no significant evidence to conclude that the mean replacement time under the new contractor takes longer than the usual average time.
jennifer got a box of chocolates the box is a rectangular prism the measurments are 3in x 4in x 5in what is the surface area of the box of chocolates
Answer:
90
Step-by-step explanation:
I need help plz 7th grade math
Answer:
-8, -11, -20. Anything negative will make it turn positive, so just do any negative number beyond -5.
