Answer:
The final volume is 320 mL at pressure of 100 kPa.
Step-by-step explanation:
Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,
[tex]V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2[/tex]
Let
[tex]V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa[/tex]
We need to find [tex]V_2[/tex]. Using above equation, we get :
[tex]V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL[/tex]
So, the final volume is 320 mL at pressure of 100 kPa.
Direct mail advertisers send solicitations ("junk mail") to thousands of potential customers in the hope that some will buy the company's product. The response rate is usually quite low. Suppose a company wants to test the response to a new flyer and sends it to 1030 people randomly selected from their mailing list of over 200,000 people. They get orders from 103 of the recipients.
Required:
Create a 95% confidence interval for the percentage of people the company contacts who may buy something. (Show your work. Step by step)
Answer:
The interval is (.0817, .118).
Step-by-step explanation:
Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.
1. Conditions
First we must check the conditions.
Randomization condition: The sample is given to be random, so we can assume independence.
Success/failure condition: Both np>10 and nq>10 must be met.
np = 1030(103/1030) = 103 ✓ nq = 1030(927/1030) = 927 ✓10% condition: The sample cannot be greater than 10% of the population.
10n < N, 10(1030) < 200000 ✓All conditions are met, so we can use a 1-proportion z-interval to represent the data.
2. Mechanics
Find [tex]\hat{p}[/tex], the sample proportion.
103/1030 = .1
[tex]\hat{q}[/tex], then, the probability of not p, is 1 - .1 = .9
Find z* (z star), the critical z-value.
You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?
invNorm(.975) = 1.96
Plug values into the equation.
[tex]\hat{p}[/tex] ± z*[tex]\sqrt{\frac{\hat{p}\hat{q}}{n} }[/tex]
.1 ± 1.96[tex]\sqrt{\frac{.1*.9}{1030} }[/tex]
.1 ± 1.96(.00935)
.1 - .0183 = .0817
.1 + .0183 = .118
(.0817, .118)
3. Conclusion
Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!
Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.
Answer:
12.12%
Step-by-step explanation:
We have that the formula is given by:
A = p * e ^ (r * t)
From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19
if we replace we have:
200000 = 20000 * e ^ (19 * r)
we must calculate r:
e ^ (19 * r) = 200000/20000
e ^ (19 * r) = 10
19 * r = ln 10
r = ln 10/19
r = 0.1212
In other words, the rate of growth is 12.12%
Answer:
12.1%
Step-by-step explanation:
The smallest multiple of 13 is
Answer:
0
Step-by-step explanation:
The smallest (greater or equal to zero) multiple of 13 is 0
to get a positive multiple of 13 you have to multiply 13 by a natural number:
0 = 13×0
13 = 13×1
26 = 13×2
.
.
.
then the smallest one is 0.
find the missing measurement lesson 13.1, 13.2 A=62.5 length is 14 and width is 11 what is the highth.
Answer:
11.36
Step-by-step explanation:
A=1/2*b*h
62.5=1/2*11*x(height)
62.5= 1/2*11*x
62.5=5.5*x
X=62.5/5.5
=11.36
the atlantic ocean is 2.78×10^4 feet deep at it's lowest point. If a scuba diver dives 1/50 of the total depth of the ocean, enter how many feets he dove down?
Answer:
556 feet
Step-by-step explanation:
What you have to do to get the answer is find out what 10^4 is, and then multiply that by 2.78. After that, you just need to divide it by 50.
10^4 = 10,000
2.78 × 10,000 = 27,800
27,800 ÷ 50 = 556
Answer:
556
Step-by-step explanation:
What equations have many solutions
76x+76=76x+76
76x+76=-76x+76
-76x+76=-76x+76
-76x+76=76x+76
Answer:
[tex]76x+76=76x+76\\-76x+76=-76x+76[/tex]
Step-by-step explanation:
They have the same values and the same signs, therefore, they cancel each other giving a result of 0=0
Answer:
0
Step-by-step explanation:
This equation actually has more than one equal sign
The answer plz hurryyy
Answer:
The answer is that the y-coordinate should be -3 1/2.
Step-by-step explanation:
First, look at the graph. On the x-axis, the dot is at -5, since it is 5 units to the left of the origin. On the y-axis, the dot is at -3 1/2. It is between -3 and -4, not -4 and -5. Therefore, the answer is that the y-coordinate should be -3 1/2, not -4 1/2. You can also check by seeing if -4 1/2 is reasonable. -4 1/2 would mean the dot would be more than 4 units below the origin. On the graph, the dot is clearly above the -4 mark, so the -4 1/2 must not be correct.
What is the approximate area of a circle with diameter 6?
Answer: 28.27
Step-by-step explanation:
First, you can turn the diameter into a radius, giving you 3. Since the equation of an area in a circle is A=πr^2, you must square 3, giving you 9. Now you must multiply 9 with Pi, which is 3.14159265358, but just 3.14 for short. With that, you get about 28.27 as area.
The Senate in a certain state is comprised of 58 Republicans, 39 Democrats, and 3 Independents. How many committees can be formed if each committee must have 3 Republicans and 2 Democrats?
YuAnswer:
Step-by-step explanation:
I really don't know the answer sorry
22. Find the perimeter of the square:
28
Answer:
56√2 ≈ 79.20
Step-by-step explanation:
The hypotenuse of an isosceles right triangle is √2 times the side length, so the side length here is ...
s·√2 = 28
s = 28/√2
The perimeter is 4 times the side length, so is ...
P = 4s = 4·28/√2
= 4·28·(√2)/2 . . . . . multiply by (√2)/(√2) to rationalize the denominator
= 56√2 ≈ 79.195959
The perimeter of the square is 56√2, about 79.20 units.
If the graph of f(x) = x is shifted up 13 units, what would be the equation of the new graph?
Answer:
f(x) = x + 13
Step-by-step explanation:
f(x) = x
when x = 0, y = 0
f(x) = x + 13
when x = 0, y = 13
Find the height of the cylinder if the volume is 225 yard and diameter is 5 yd
Answer:
2.86 yards
Step-by-step explanation:
Height = volume/parameter
Parameter = 1/2 diameter * pi
Height = 225 / parameter
Height=2.86
on a piece of paper, graph f(x)= {x if x<2 2 if x>2}
Answer:
see below
Step-by-step explanation:
The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.
The line for x > 2 is the horizontal line x=2.
The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.
Answer:
the person above is correct
Step-by-step explanation:
:p
Identify Y, inscribed angels
Answer:
y = 2
Step-by-step explanation:
PQ is a diameter, so arc PQ has a central angle of 180°. Inscribed angle PRQ has a measure half that, or 90°. (An inscribed triangle with one side a diameter is a right triangle.)
Then you can write ...
53y -16 = 90
53y = 106 . . . . . add 16
y = 106/53 = 2 . . . . divide by the coefficient of y
y = 2
ONLY BOYS ANSWER PLSSSS
What would you do if Shakira was right next to you and you can do whatever you want to her :)
Answer:
you need Jesus lol :)
Step-by-step explanation:
.....
The value of 8 in the hundreds place is how many times the value of the 8 in the tens place
Answer:8 in the hundreds place is 10 times the value of the 8 in the tens place.
Step-by-step explanation:its easy
The hundreds place is 10 times of the tens place.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
The value of 8 in the hundreds place. If the value of the 8 is in the tens place. Then the number will be 880.
Then the number of times of the hundreds place and tens place will be given by the division of the numbers 800 and 80.
⇒ 800 / 80
⇒ 10
The hundreds place is 10 times of the tens place.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Find the limit of the function by using direct substitution lim (x^2+8x-2) x-> 2
Answer:
[tex] lim_{x \to 2} x^2 +8x -2 [/tex]
And using the properties of limit we got:
[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]
And replacing we got:
[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]
Step-by-step explanation:
For this case we want to find this limit:
[tex] lim_{x \to 2} x^2 +8x -2 [/tex]
And using the properties of limit we got:
[tex] lim_{x \to 2} x^2 +8 \lim_{x \to 2} x - lim_{x \to 2} 2 [/tex]
And replacing we got:
[tex] 2^2 + 8 (2) -2 = 4 +16-2 =18[/tex]
A local eat-in pizza restaurant wants to investigate the possibility of starting to deliver pizzas. The owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes. The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290. State the correct conclusion
Answer:
We conclude that the mean delivery time actually exceeds 34 minutes.
Step-by-step explanation:
We are given that the owner of the store has determined that home delivery will be successful if the average time spent on the deliveries does not exceed 34 minutes.
The owner has randomly selected 23 customers and has delivered pizzas to their homes in order to test if the mean delivery time actually exceeds 34 minutes. Suppose the P-value for the test was found to be 0.0290.
Let [tex]\mu[/tex] = average time spent on the deliveries.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 34 minutes {means that the mean delivery time is less than or equal to 34 minutes}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 34 minutes {means that the mean delivery time actually exceeds 34 minutes}
Now, the decision rule based on the P-value to whether null hypothesis should be accepted or rejected is given by;
If the P-value of test statistics is less than the level of significance, then we will reject our null hypothesis.If the P-value of test statistics is more than the level of significance, then we will not reject our null hypothesis.Here, we assume that the level of significance is 5%.
Since, the P-value of test statistics is less than the level of significance as 0.029 < 0.05, so we have sufficient evidence to reject our null hypothesis.
Therefore, we conclude that the mean delivery time actually exceeds 34 minutes.
A submarine is 48 m below sea level, and it descends 28 m.
How far below sea level is it?
Answer:
The submarine is 76 meters below sea level.
Step-by-step explanation: 48+28=76
If the sub is already 48 meters below sea level, and then it travels another 28 meters further down, you simply add 28 to 48.
I have the brainy app on my phone, and I have plus on my phone, but when I try to log in on my computer< it says I still need to upgrade, how do I use brainy plus on my computer?
to use brainy plus on your computer you need to log in with the same account you used on the phone
Answer:
try to restart and delete then re download the app:)
Step-by-step explanation:
From a class of 25 students how many group of 4
Answer: Well, 4 groups of four, and roughly 6 student in a group
Step-by-step explanation:
The question is not clear, but 25 divided by 4 is 6.25, but it’s students so 6 or 7.
Round 38 to the nearest ten. Enter your answer in the box below.
Answer:
40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
Here are the rules;
• If the number undergoing the rounding is followed by 5, 6, 7, 8, or 9, round the number up
• If the number undergoing the rounding is followed by 0, 1, 2, 3, or 4, round the number down.
Example: 32 and 38 rounded to the nearest ten is 30 and 40 respectively.
PLZ HELP
Figure ABCD is reflected across the x-axis.
What are the coordinates of A' , B' , C' , and D' ?
Enter your answer in each box.
A' (
,
)
B' (
,
)
C' (
,
)
D' (
,
)
A graph with a quadrilateral on it formed between points A begin ordered pair 2, 3 end ordered pair, B begin ordered pair 5, 5 end ordered pair, C begin ordered pair 7, 3 end ordered pair, and D begin ordered pair 5, 2 end ordered pair
Answer:
A' (2,-3)
B' (5,-5)
C' (5,-2)
D' (7,-3)
Step-by-step explanation:
I used desmos graphing calculator to help me solve
Answer: The answers would be A= 2,-3 B= 5,-5 C=-5-2 and D= 7,-3
Kali has a 666 meter ladder that she wants to use to get her cat out of a tree. She puts the base of the ladder 222 meters away from the base of the tree.
How high into the tree will the ladder reach?
Round your answer to the nearest tenth of a meter.
I think it is 123 meters Answer:
Step-by-step explanation:
Jessica bought the ingredients to make chicken soup, and wanted to make a double batch, which would be 18 cups of soup. A quick Google search told her that this was 259.9 cubic inches. She hoped the soup pot below would be big enough. The soup pot is 9 inches tall with a radius of 3.5 inches. What is the volume of the soup pot? Answer choices are rounded to the nearest tenth cubic inch. 169.6 cubic inches 890.6 cubic inches 197.9 cubic inches 346.4 cubic inches
Answer: 346.4 in^3
Step-by-step explanation:
The pot can be thinked as a cylinder:
The volume of a cylinder is equal to:
V = (pi*r^2)*h
where h is the height, r is the radius and pi = 3.1416
Here we have that: r = 3.5in, h = 9in.
Then the volume is:
V = 3.1416*(3.5in)^2*9in = 346.4in^3
The ratio of the number of student in mr. Moore’s class compared to the number of student in miss Henry’s class is 5:4. The ratio of the number students in miss Henry’s class compared to the number of students on mr. Wilson’s class is 8:9. What is the ratio of number of students in mr. Moore’s class to mr. Wilson’s class?
Answer:
10:9
Step-by-step explanation:
First ratio is 5:4. 4 is equal to Henry class
If you múltiply the ratio by 2 you get
10:8, This ratio can be compared because now Henry class has 8
2(5:4)
10:8
8:9
Meaning that the answer is 10:9
The require ratio of number of students in Mr. Moore's class to Mr. Wilson's class is 10:9
What is Ratio?The ratio can be expression as how many times one number contain another number.
For example, If any bag contain 4 apples and 8 oranges then the ratio of apple to orange is 4:8 while the ratio of the orange to the apple is 8:2
How to find ratio?Consider M denote the number student present in the Mr. Moore's class
similarly H denote the number of student in miss Henry's class and W denote the number of student present in Mr. Wilson's class
then we have given that
M : H = 5 : 4 or
[tex]\frac{M}{H} = \frac{5}{4}[/tex]
Also we have H : W = 8 : 9
[tex]\frac{H}{W} = \frac{8}{9}[/tex]
Now multiply these two equations we have
[tex]\frac{M}{H}\times \frac{H}{W}=\frac{5}{4}\times\frac{8}{9}[/tex]
[tex]\frac{M}{W}= \frac{10}{9}[/tex]
The ratio of number of student in Mr. Moore's class to Mr. Wilson's class is 10:9
This is the conclusion to the answer.
Learn more about ratio here-
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anyone knows the answer
Answer:C
Step-by-step explanation:
3.1 x 10^(-4) x 8.5 x 10^(-2)
3.1 x 8.5 x 10^(-4) x 10^(-2)
26.35 x 10^(-4-2)
26.35 x 10^(-6)
2.635 x 10^1 x 10^(-6)
2.635 x 10^(1-6)
2.635 x 10^(-5)
Answer FAST! This is a HARD question! Good luck
Answer:
Step-by-step explanation:
I only know that number 2 is 56.
Find the digit in the tenths place of 25.391
Answer:
Step-by-step explanation: The digit in the tenths place will be 1 place to the right of the decimal point.
So in this problem, the digit in the tenths place is 3.
Two trains leave stations 390 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour while the other travels at 80 miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.
Answer:
Let's denote:
x: the time both trains traveled.
Then, we have:
70x + 80x = 390
=> 150x = 390
=> x = 390/150 = 2.6 hour
Answer:
2.6 hours ( or 2 hours 36 minutes).
Step-by-step explanation:
The combined speed is 70+80 = 150 mph.
Speed = distance / time, so time = distance / speed.
So the time when they will meet
= 390 / 150
= 2.6 hours.
