9514 1404 393
Answer:
150 Wh
Step-by-step explanation:
We know the energy per bulb is 10 Wh per hour, so the total energy used by 3 bulbs in 5 hours is ...
(10 Wh/(bulb·hour))×(3 bulbs)×(5 hours) = 10·3·5 Wh = 150 Wh
Stainless steels can be susceptible to stress corrosion cracking under certain conditions. A materials engineer is interested in determining the proportion of steel alloy failures that are due to stress corrosion cracking. In the absence of preliminary data, what is the minimum sample size required to ensure a 90% confidence interval for p to within 0.02
Using the z-distribution, as we are working with a proportion, the minimum sample size required to ensure a 90% confidence interval for p to within 0.02 is of 1692.
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.The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem:
No prior estimate, hence the proportion is [tex]\pi = 0.5[/tex].Margin of error of M = 0.02.90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].Then, solving for n:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.02\sqrt{n} = 1.645(0.5)[/tex]
[tex]\sqrt{n} = \frac{1.645(0.5)}{0.02}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645(0.5)}{0.02}\right)^2[/tex]
[tex]n = 1691.3[/tex]
Rounding up, a sample size of 1692 is needed.
More can be learned about the z-distribution at https://brainly.com/question/25890103
TRUE or FALSE. Coordinates and position are written the same way but show different information?
Answer:
True.
Step-by-step explanation:
4) Adult tickets for the evening show at XD Theater are $11 and children's tickets are $Belf the theater seats 250 people, how many adult tickets must be sold for $2.300 of total sales? Answer: adult tickets
Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.
Answer: 100 adult tickets must be sold.
Step-by-step explanation:
step 1
let x represent Adults
AND y represent children
Since the theater seats 250 people we have that
x+y = 250..... equation 1
Also price for Adult ticket = $11
and price children ticket =$8
With total sales at $2,300, we have that
11x + 8y= 2300----- equation 2
Step 2
Making y subject in equation 1
' x+y = 250
y= 250-x
Putting y= 250- x in equation 2
11x + 8(250-x)= 2300
11x +2000-8x= 2300
11x -8x = 2300-2000
3x= 300
x 300/3
x= 100.
To find y
x+y = 250
100+y=250
y=250-100
y=150
Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300
Which signs do you have to fill ( + , - , × , ÷ , √ , = ) in between the numbers to make this a true equation.
74205, 3 , 169 , 490 , 1701 , (1/8) , 15262 , 2²
Answer:
put them in order
Step-by-step explanation:
1/2+2-3=309y6
What is the missing number?
Question 4 options:
Answer:
i dont see it
Step-by-step explanation:
danny bought a shirt that was first put on sale for 30% off that went on clearance for an additional 40% off. what is the markdown if the original price was $94.99
Answer:
The total is $28.50
Step-by-step explanation:
Help me Please 20 POINTS
When two variables are in a proportional relationship, which of the following is true about
1 their values.
2 their sums are a constant
3 their differences are a constant
4 their products are a constant
5 their quotients are a constant
Answer:
(5)
for eg;
3/5 is proportional to 15/25
Answer:
I would say 1 or 4
Step-by-step explanation:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
1. Jake makes $11.15 per hour and works for 28 hours. What is his
straight-time pay? (Financial 1.1)
SHOW YOUR WORK
Answer:
$312.2
Step-by-step explanation:
Given that:
Amount earned per hour = $11.15
Number of hours worked = 28 hours
Straight time pay is the total amount earned in a given pay period. Hence,
Starlight time pay earned during the period he worked will be :
Amount per Hour * number of hours
$11.15 * 28 = $312.2
Which expression is equivalent to (m2p–2r7)(m–5p4r2)?
Answer:
=(m2p+−2r7)(m+−5p4r2)
=(m2p)(m)+(m2p)(−5p4r2)+(−2r7)(m)+(−2r7)(−5p4r2)
=m3p−5m2p5r2−2mr7+10p4r9
=10p4r9−5m2p5r2−2mr7+m3p
Step-by-step explanation:
:D
PLEASE HELLPP MEEEEEEEEeeeeeeeeeeeeeeeeee
Answer:
D, 32
Step-by-step explanation:
First input all the numbers. Then do what’s inside the parenthesis first then multily by 12. lastly divide that number by 2.4
Answer:
32
Step-by-step explanation:
[tex]\frac{12(4+2.4)}{2.4}\\\frac{12(6.4)}{2.4} \\ \frac{76.8}{2.4}=32[/tex]
Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is counted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.
Answer:
The answer is "np(1+p)".
Step-by-step explanation:
[tex]N_1[/tex] = Number of n tossed heads
According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads
So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)
[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]
[tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]
What is : [tex]7a + 8b + 9a + 4b + b =[/tex]
Answer: 16a + 13b
Step-by-step explanation: combine like terms:
7a + 9a
8b +4b +b
= 16a + 13b
Answer:
16a + 13b
Step-by-step explanation:
7a + 9a = 16a
Remember: a number without coefficent is 1
8b + 4b + b = 13b
Elizabeth gave 13% of the cost as a tip to the delivery person who delivered her car after service at a cost of $294. What will be the total cost with tip to the nearest cent?
Answer:
If an amount is included as a "Gratuity" or "Service Charge," tipping is not required. ... If the tip is included, the breakdown of the bill will read "gratuity" or "service charge," which means that a tip is already included.
Step-by-step explanation:
hope this helps!
HEEEEEEEEEEELLLLLLLPPPPP PLEASE );
Kingston deposited $90 in a savings account earning 6% interest, compounded annually. To the nearest cent, how much will he have in 2 years?
Answer: 101.12
Step-by-step explanation: This answer is rounded to the nearest cent. The other is not, and will count it wrong.
what is 5x -5?
And Could you explain, im truly lost
its 5x5 but with a negative
Step-by-step explanation:
Give the slope between the points
(-2,0) (-11,-4)
Answer:
Step-by-step explanation:
12,12
Answer:
The slope is 4/9
Based on the position vs. time graph, which velocity vs. time graph would correspond to the data? A graph with horizontal axis time (seconds) and vertical axis position (meters). A line runs straight upward from 0 seconds 0 minutes.
Answer:
C or the graph with continuous acceleration (straight line)
Step-by-step explanation:
It's the right answer on edguinity
Answer:
c
Step-by-step explanation:
6 cm
8 cm
8 cm
12 cm
The perimeter of the polygon above is
Answer:
12 cm !!!
hope you mark me bainliest or your friend
I need help I’m graphing this please help out
Answer:
Step-by-step explanation:
Answer:
y-intercept(0, -9)
Step-by-step explanation:
Negative 3/5 ×17 5/8=
Answer:
-10.575
Step-by-step explanation:
On a map, 4 inches represents 240 miles. What is the scale of the map?
In each month, the proportion of ‘Prize’ bonds that win a prize is 1 in 11,000. There is a large number of prizes and all bonds are equally likely to win each prize.
(a) Show that, for a given month, the probability that a bondholder with
5000 bonds wins at least one prize, is 0.365, correct to 3 significant figures.
(b) For a given month, find the probability that, in a group of 10 bondholders
each holding 5000 bonds, four or more win at least one prize
Answer:
Step-by-step explanation:
Given that:
The proportion of price bonds that wins a prize is 1 in 111000
The probability of winning at least one prize = 1 - Probability of winning no prize at all.
Probability of winning at least one prize = [tex]1 - \bigg (\dfrac{10999}{11000} \bigg)^{5000}[/tex]
Probability of winning at least one prize = 1 - 0.9999090909⁵⁰⁰⁰
Probability of winning at least one prize = 1 - 0.635
Probability of winning at least one prize = 0.365
Since this question follows a binomial distribution with the probability of p = 0.365 and number of sample n = 10
Then; the probability of four or more will win at least one prize can be computed as follows:
[tex]= \sum \limits ^{10}_{x=4} \bigg( ^{10}_{x} \bigg)(0.365)^x (1- 0.365)^{10-x}[/tex]
[tex]= \bigg( ^{10}_{4} \bigg)(0.365)^4 (0.635)^{10-4}[/tex]
[tex]= \bigg( \dfrac{10!}{4!(10-4)!} \bigg)(0.365)^4 (0.635)^{6}[/tex]
[tex]= 0.244[/tex]
At Pages Aplenty book store, the more books you buy, the more books you get! With the special deal, a customer gets 2 free books for every 7 purchased books. Larry purchased 21 books. How many free books did Larry get?
Answer:
6
Step-by-step explanation:A customer gets 2 free books for every 7 purchased books. Larry purchased 21 books, and you need to find how many free books he got. Write a proportion.
2 free books
7 purchased books
=
? free books
21 purchased books
Compare the denominators.
2 free books
7purchased books
=
? free books
21purchased books
To get from 7 to 21, multiply by 3. Multiply the numerator and denominator by 3 to find the number of free books Larry got.
2 free books3
7 purchased books3
=
6free books
21 purchased books
Larry got 6 free books.
Lerry will get 6 free books . Because she gets 2 free books for every 7 purchased books.
What exactly is simplification?Simplifying means making something easier to do or comprehend, as well as making something less difficult.
For every 7 books a consumer buys, they receive 2 free books. Larry bought 21 books.
If the larry bought 21 book.She get 6 book as;
On the purchased of 7 book then on 14 book and then on the 21 book.
The free books did Larry get is found as;
⇒2+2+2
⇒6
Hence Lerry will get 6 free books .
To learn more about the simplification, refer to:
https://brainly.com/question/23509407
#SPJ2
what is the image of (6,-6) after a dilation by a scale factor of 4 centered at the origin
9514 1404 393
Answer:
(24, -24)
Step-by-step explanation:
Dilation centered at the origin multiplies each coordinate by the dilation factor.
image = 4 × (6, -6)
image = (24, -24)
I’m not very good at math, anyone can answe this plz and thanks
Answer:
B
Step-by-step explanation:
Answer:
If it is asking for the total of both then it should be 6 1/4
Step-by-step explanation:
I added 4 3/4 and 1 1/2
(0,3), (4,15), (5,33), determine the equation of the parabola they represent. State the direction the parabola opens.
Answer:
y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.
Step-by-step explanation:
The general equation of a parabola is:
y = ax² + bx + c
So we have to solve for a, b and c to get our equation with the 3 given points.
When x = 0 and y = 3 we have
3 = a(0)² + b(0) + c, this means c = 3
When x = 4 and y = 15
15 = a(4)² + b(4) + 3 we have
16a + 4b = 12 which is
4a + b = 3
When x = 5 and y = 33 we have
33 = a(5)² + b(5) + 3 we have
25a + 5b = 30 which gives
5a + b = 6.
We have two equations
4a + b = 3
5a + b = 6
Eliminating b we have
a = 3, substituting a = 3 in the first equation we have
4(3) + b = 3
12 + b = 3
b = –9
Our equation therefore is:
y = 3x² – 9b + 3 and the parabola opens upwards since a = 3 > 0.
A battery is charged. The percentage of the battery's capacity that is charged as a function of time (in minutes) is graphed. graph At what rate is the battery charged? Choose 1 answer: Choose 1 answer: (Choice A) A 20 percent per minute (Choice B) B 1 percent per minute (Choice C) 2 percent per minute (Choice D) 10 percent per minute
The answer is -12 percent
Answer:
12%
Step-by-step explanation:
Just do 12% it is correct the other one is wrong
1/3 exponent 4??? pls help immediately
Find the missing side lengths leave your answerss as radicals
Answer:
a= 5[tex]\sqrt{2}[/tex]
b=5
Which of the following is equal to 5 1/3?