Answer:
the margin of error is 0.029
Step-by-step explanation:
The computation of the margin of error is as follows;
Point estimate = sample proportion
[tex]= \hat p[/tex] = x ÷ n = 672 ÷ 1019 = 0.659
Now
= 1 - [tex]\hat p[/tex]
= 1 - 0.659
= 0.341
[tex]Z\alpha/2[/tex] = Z_0.025 = 1.96
Now
a) Margin of error = E is
[tex]= Z\alpha / 2 \times \frac{((\hat p \times (1 - \hat p ))}{(\sqrt / n)} \\\\= 1.96 (\sqrt \frac{ (0.659 \times 0.341)}{(1019)} \\\\= 0.029[/tex]
Hence, the margin of error is 0.029
ms.watson earns more than $24 per hour. The inequalit x>24 represent the situation.which statement best represent the solution of the inequality
Answer:
All rational numbers greater than 24
Step-by-step explanation:
The local authorities in a certain city install 10,000 electric lamps in the streets of the city. If these lamps have an average life of 1000 burning hours with a standard deviation of 200 hours, assuming normal distribution, what number of lights might expected
Step-by-step explanation:
It is given:
[tex]\mu=1000[/tex], [tex]\sigma=200[/tex]
Let x be the random variable that denotes the number of hours the lamp lights up.
what number of lights might expected to fail in the first 800 burning hours
Answer: We are required to find the expected number of lights to fail in the first 800 burning hours.
First, we have to find the probability as:
P(Z < 800)
Using the z-score formula, we have:
Using the z-score formula, we have:
[tex]P(x <800)=P \left(z<\frac{800-1000}{200} \right )[/tex]
=P(z<-1)
Now using the standard normal table, we have:
P(x<800)=P(z<-1)=0.1587
Therefore, the expected number of lights to fail in the first 800 burning hours is:
[tex]\boldsymbol{0.1587 \times 10000=1587}[/tex]
After how many burning hours 10% of the lamps would be still burning?
We first need to find the z-value corresponding to area = 1- 0.10 = 0.90. Using the standard normal table, we have:
z(0.90)=1.28
Now using the z-score formula, we have:
[tex]z= \frac{x-\mu}{\sigma}[/tex]
[tex]1.28= \frac{x-1000}{200}[/tex]
[tex]1.28 \times 200= x-1000[/tex]
[tex]256= x-1000[/tex]
x= 1000+256
[tex]\boldsymbol{x= 1256 }[/tex]
Using the Zscore principle, the number of bulbs expected to Fail in the first 800 burning hours is 1587
Given the Parameters :
σ = 200μ = 1000x = 800The number of Lamps that might be expected to fail in the first 800 burning hours :
Recall:
Zscore = (x - μ) ÷ σZscore = (800 - 1000) / 200 = -1
Using the normal distribution table :
P(Z < -1) = 0.15866
The number of bulbs expected to fail :
P × total number of bulbs0.15866 × 10000 = 1586.6
Hence, 1587 bulbs are expected to fail in the first 800 burning hours.
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90 decimeters = _______________ millimeters
Answer:
900 millimeters
Step-by-step explanation:
Hopes this helps and have a great day:)
PLZZZ HELP!?!?!Graph the linear equation y=2x+4. Then identify the x-intercept.
Answer:
x= -2
Step-by-step explanation:
To graph it. You know that the slope(m) is 2 and y-int is 4.
So put a point on (0, 4), (1, 6) and (0, 2) then use your ruler and just draw a straight line hitting all these points.
Ex.
When x=1
y=2x+4
y=2(1)+4
y=6
(1, 6) is a point
To solve for x-int, make y=0 because it's on the x-axis
y=2x+4
0=2x+4
-4=2x
x=-2
Answer: x intercept= (-2,0)
y intercept= (0,4)
Step-by-step explanation:
After school, Shawn had a science club meeting for 1 hour, followed by a choir rehearsal that lasted for 45 minutes. The choir rehearsal ended at 5:30 P.M. What time did the science club meeting begin?
Include A.M. or P.M. in your answer Please help me fast !!!
Answer:
3:45 P.M.
Step-by-step explanation:
SO we start at 5:30 P.M.
Going backwards 45 mins = 4:45 P.M.
Then backwards 1hr or 60 mins = 3:45 P.M
Is 3x + 4 proportional? Explain.
Answer:
Since it is a linear function, it is a directly proportional function
Step-by-step explanation:
i looked it up
9514 1404 393
Answer:
no
Step-by-step explanation:
An equation representing a proportional relationship looks like ...
y = kx
where k is the constant of proportionality. A notable feature of this equation is that its y-intercept is zero.
Your expression has a y-intercept of +4, so does not represent a proportion.
_____
Additional comment
Strictly speaking, a proportion is a statement of equality of two ratios. An expression cannot be a proportion. We interpreted your question to be ...
does y = 3x+4 express a proportional relationship?
What is the reason for each step in the solution of the equation?
-6x = -2(a + 12)
Match the reason with the correct step in the equation.
I NEED HELP ASAP ITS FOR TODAY PLZ SHOW YOUR WORK
Answer:
(1)-5x (2)-3x and 0x
Step-by-step explanation:
(1) -7x-2y=5
-7x-12=5
(2) y=-8x+5=-3x
y=-5x+5=0x
Find the slope of the line.
(6, 10)
3
(a, 8)
(4, b)
(2, 2)
Answer:161500
Step-by-step explanation:that's your answer
There are 5 cat owners to 6
dog owners. If there are 30 dog owners how many cat owners are there?
Answer:
25 cat owners!!!
Step-by-step explanation:
It's a ratio word problem...
5:6
Multiply both Numerator and Denominator by 5.
25:30
May I please have Brainliest??!??
- ElizabethKate
Answer: 19
Step-by-step explanation: So 6+5=11 then 30-11=19
A foreign country uses the stellar as its currency. Before a trip to that country, wants to exchange $ to stellars. Which of Bank A and Bank B has the better exchange rate? How many more stellars would get if exchanged h $ at the better exchange rate instead of at the other rate?
11 Select the correct answer. A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all how many more games must it win to finish the season with a 90% winning percentage? СА. 12. 00 14 15 OD. 27
Step-by-step explanation:
They need to play 15 more games
Penelope's car gets 300 miles on 20 gallons of gas. Blake's car gets 495 miles on 15 gallons of gas.
Which car has better gas mileage?
Answer:
Blake's car gets better mileage
Step-by-step explanation:
In order to find how many miles you get per gallon, you would do miles/gallons
As I'm typing this I realize it makes no sense but pretty much you just do 300/20 which is 15 mpg, and 495/15 which is 33 mpg, therefore Blake's car is better
The following are shoe sizes of a group of bowlers: 6.5 ,7 ,7 ,7 ,7.5, 8, 8.6, 8.5, 9, 9.6, 10.5, 11. What is the mean shoe size of the bowlers?
A. 8.5
B. 8.3
C. 8.7
D. 8.0
Answer:
8.3
Step-by-step explanation:
Add all of the shoe sizes together then divide by how many shoe sizes there are and you will get your answer
The terminal point of Dis ( 1/2,3/2). What is cos 0?
O A. V 3
B. V3
Coc.
o D. V
SUBMIT
Answer:
(c). [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The cosine is the "x" coordinate of the terminal point on the unit circle.
Thus the answer is (c). [tex]\frac{1}{2}[/tex]
Indicate whether the following congruence statement is true or false.
50 points
Step-by-step explanation:
Since line NL is not necessarily congruent to MQ (labelled with different congruent marks), triangle NLM is not congruent to triangle MQP.
Instead, triangles NLM and QPM are congruent.
This could true because of the markings of the triangles' sides and angles are in the same location.
But the statement labeled the lines wrong which makes them False
IF CORRECT I WILL GIVE BRAINLIEST!!
Please help me do this problem!
Screenshot below!
Answer:
9
Step-by-step explanation:
can somebody please help me i’ll gift you 40 points
Answer:
B and D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
she got 35 is positive 35
she bought something for 15 and something for 7 is negative 15 and 7
she got 10 is positive 10
+35 + (-15) + (-7) + 10
35-15-7+10
12 + x - 8 = 3 + 2x
Solve for x
Step-by-step explanation:
I used an online Algebra Calculator to check my answer against to gurantee my answer is 100% correct for you.
Please mark Brainliest.
The length of a rectangle exceeds the width by 2 cm . If the diagonal is 10 cm long , find the width of the rectangle .
Tammy made fudge brownies and peanut butter brownies. Each batch of fudge brownies makes 7 pans. Each batch of peanut butter brownies makes 6 pans. Tammy made 5 batches and ended up with 31 pans of brownies. How many batches of each type of brownie did she make?
Hurry pls I need help
Answer:
Fudge: 16.69230766
Peanut: 14.30769228
Step-by-step explanation:
7/5x+6/5x = 31/5
13/5x = 31/5
13x=31
x=2.38461538
Multiply x by 7 for fudge and 6 for peanut.
Question in picture will give brainly
Answer:
Number 10. is SAS I believe
Step-by-step explanation:
Which is the correct answer?
Note: ( if you give me a silly or absurd answer I will report you )
Answer:
A
Step-by-step explanation:
you take the f(x) and make it negative because it's positive
you make -x^3 positive because it's negative
you make -9 positive because it's negative
hope this helps!
10x + 3 - 4x - 7 how do u solve this
Answer:
The answer is 6x-4 if you need to combine the like terms.
Step-by-step explanation:
So first you see if there are any like terms so I see 10x and -4x so I add them together and get 6x. I look for other like terms and find 3 and -7 and add those together so I get -4. Then you combine the 2 answers and get 6x-4. I hope this helps you! If you need any other help please let me know in the comments.
Answer:
6x-4
Step-by-step explanation:
will mark brainliest if the answer is correct
Answer:
Kennedy will earn 21.7 dollars per hour.
Question 1
Indicate the answer choice that best completes the statement or answers the question.
FINANCE Determine the amount of money in a savings account that provides an annual rate of 4% compounded monthly if the initial deposit is
$1000 and the money is left in the account for 5 years.
Oa $221.00
O b. S1221.00
Oc. $1490.00
Od $1000.00
Answer:
Correct choice: b. $1221.00
Step-by-step explanation:
Compound Interest
It occurs when the interest is reinvested on each compounding period. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
The initial deposit on a savings account is P = $1000. The account provides an annual rate of r = 4% = 0.04 compounded monthly. The value of n is 12 since there are 12 months in a year. The money is left in the account for t=5 years. Substituting the values:
[tex]{\displaystyle A=\$1000\left(1+{\frac {0.04}{12}}\right)^{12*5}}[/tex]
[tex]{\displaystyle A=\$1000\left(1.00333}\right)^{60}}[/tex]
A = $1221
Correct choice: b. $1221.00
I GIVE BRAINLIEST!!
Please explain you work!!!
Where is the point (-1,4) located in the coordinate plane?
O A. In quadrant II
O B. On the x-axis
O C. In quadrant
O D. In quadrant III
Answer: A
Step-by-step explanation:
If pllot the point -1 on x-axsis and 4 on y. Quadrant || on the top left corner :)
Hayden plans to take a loan out to buy his Ultimate PC
Gaming Desktop. He will borrow $6,200 from the bank
at a rate of 3.5% annually. The length of the loan will be
5 years. How much interest will Hayden have to pay on
the loan? What is the total that Hayden will have to pay
the bank back?
Give step by step plz
Answer:
The rate of simple interest for loan was 8%
Step-by-step explanation:
Given
Principal amount = p = $6200
Time = t = 1 year
Amount after interest = $6696
We have to calculate the amount of interest first
So,
Interest amount =I= Amount after interest - principal amount
= 6696-6200
=$496
The formula for simple interest is:
The rate of simple interest for loan was 8%
Keywords: Simple interest, percentage
Learn more about simple interest at:
[tex]\\ \leq \beta \alpha \alpha[/tex]