guys I need help with both of the questions
The high temperatures (in degrees Fahrenheit) of a random sample of 5 small towns are: 99.6 99.7 97.9 98.6 97.7 Assume high temperatures are normally distributed. Based on this data, find the 99% confidence interval of the mean high temperature of towns. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).
Answer: (97.63, 99.77)
Step-by-step explanation:
Given the data:
99.6 99.7 97.9 98.6 97.7
Using calculator, we can obtain the mean and standard deviation of the sample data:
Mean(m) = 98.7
Standard deviation = 0.93
Sample size (n) = 5
Using the relation to find confidence interval :
Mean ± Zcrit * (s/√n)
Zcrit at 99% = 2.576
98.7 ± 2.576 * (0.93 / √5)
Lower limit : 98.7 - (2.576 * 0.4159086) = 97.6286194464 = 97.63 ( 1 decimal place)
Upper limit : 98.7 + (2.576 * 0.4159086) = 99.7713805536 = 99.77 ( 1 decimal place)
(97.6, 99.8)
Your phone has 23 1/4% battery left. You have an important call to make 4 hours from now. How much battery can you use each hour, to ensure you have at least 10% battery remaining for your phone call?
What is your DIVISOR?
What is your DIVIDEND?
What is your QUOTIENT?
Give your answer as a mixed number, and in decimal notation.
Answer:
4 5/12 %
4.41667 %
Dividend = 13 1/4 %
Divisor = 3 hours
Quotient = 4 5/12 %
Step-by-step explanation:
Given that :
Percentage charge left = 23 1/4%
Percentage to be used hourly such that atleast 10% is left in other to make a call 4 hours from now
Hence,
Usable charge = Percentage left - target percentage
23 1/4 % - 10% = 13 1/4 %
Number hours of usable charge = 4 - 1= 3 hours
13 1/4 % ÷ 3
53/4 % ÷ 3
4.41666 % per hour
Or
53/4 * 1/3 = 53/12 =4 5/12 %
Dividend = 13 1/4 %
Divisor = 3 hours
Quotient = 4 5/12 %
Determine the value of X and the measure of midsegment.
I need help again please
Answer:
pretty sure it was the frenchhhh
how do I solve this?
Answer:
pythagoren therom, law of sine, cosine, and tangent
Step-by-step explanation:
Find the domain and range of the function y = f(x) in the graph
Answer:
A.
Step-by-step explanation:
Answer:
a. Domain -4 ≤ x ≤ 3, Range 0 ≤ y ≤ 5
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x) Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, we see that our x-values span from -4 to 3. Since both dots are closed dots, they are inclusive in the domain:
[-4, 3] or -4 ≤ x ≤ 3
According to the graph, we see that our y-values span from 0 to 5. Since both dots are closed dots, they are inclusive in the range:
[0, 5] or 0 ≤ y ≤ 5
50 POINTS!!! Type the correct answer in each box. Use numerals instead of words.
A publishing company conducted a survey asking readers whether they use e-readers. Of the 3,000 readers surveyed, 1,954 said they read
books on an e-reader.
Use this information to complete the statement. Round your answers to the nearest hundredth.
The approximate sample proportion is
which means that
% of the readers surveyed do not use e-readers.
Answer:
The correct answer to this is 200 and 34.90%
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 3000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 3000, so we can write it down as 100%=3000.
4. We know, that x% equals 1046 of the output value, so we can write it down as x%=1046.
5. Now we have two simple equations:
1) 100%=3000
2) x%=1046
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3000/1046
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 1046 is what percent of 3000
100%/x%=3000/1046
(100/x)*x=(3000/1046)*x - we multiply both sides of the equation by x
100=2.868068833652*x - we divide both sides of the equation by (2.868068833652) to get x
100/2.868068833652=x
34.866666666667=x
x=34.866666666667
now we have:
1046 is 34.866666666667% of 3000
Sample proportion = 0.65
And, The percentage of the sample proportion = 65%
The percentage of the readers surveyed do not use e-readers = 35%
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given sample size is,
'n' =3000
Of the 3,000 readers surveyed, 1,954 said they read books on an e-reader.
Hence, The probability that The readers surveyed use e-readers sample proportion is,
p = 1954 / 3000
p = 0.6513
Hence, The percentage of the sample proportion is, 65%
And, The readers surveyed do not use e-readers is,
q = 1 - p
q = 1 - 0.651
q = 0.349
Thus, Sample proportion = 0.65
And, The percentage of the sample proportion = 65%
The percentage of the readers surveyed do not use e-readers = 35%
Learn more about the proportion visit:
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The fence is 106 meters long. Each section of fence is 3 meters long. How many sections were needed to complete the fence?
Freedom
7 mi
Rochester
9 mi
Cranberry
Answer: what is the question
Step-by-step explanation:
privilege
14 kil
New York
18 kil
Willow
Juan practices his trumpet for 24 minutes each day.
How many days will it take Juan to practice 72 minutes?
Enter your answer in the box.
Answer:
3 days
Step-by-step explanation:
72/24=3
Answer:
3 days
Step-by-step explanation:
you're welcome
while tim is waiting for school to start he pulls a quarter from his pocket. how many outcomes are possible if he flips the quarter three times?
Answer:
3
Step-by-step explanation:
he flips it three times
Rewrite the expression as a product using the GCF and distributive property. 27 + 45
Step-by-step explanation:
GCF of 27 and 45 is 9
Answer: 9 (3+5)
Step-by-step explanation:
The GFCF of these two numbers is 9 as they can both be divided by it
Distributive property form is when you place the GFC outside parenthesis so that the equation can be multiplied in order to show the original equation and dividing the numbers by the GCF so that it does not give you a larger number than what you started with
27/9=3 + 45/9=5
So, keeping this in mind the distributive property form would be 9(3+5)
Answer 9(3+5)
what is the partial product for 1,600 and 280
Answer:
Hope this helps!
Step-by-step explanation:
Answer:
Step-by-step explanation:
what is the answer to (7×10^5)×(3×10^2)
Answer:
210000000
Step-by-step explanation:
Which one should I choose
Answer:
try x^2 X 6
Step-by-step explanation:
After purchasing a home for $160,00 the homeowner noticed the suggested value of her house was depreciating by 5% each year.
What is the decay factor for this situation?
A
0.05
B
0.50
C
0.95
D
1.05
The volume of a spherical balloon is increasing at the constant rate of 8 cubic feet per minute. How fast is the radius incresing when the radius is exactly 10 feet? How fast is the surface area increasing at that time?
Answer:
Rate of increase of radius = 0.0064 ft/sec
Rate of increase of surface area = 1.61 [tex]ft^2/sec[/tex]
Step-by-step explanation:
Given that:
Rate of change of volume of a spherical balloon = 8 cubic feet per minute
[tex]\dfrac{dV}{dt} = 8 ft^3/min[/tex]
Radius, [tex]r[/tex] = 10 feet
To find:
The rate of change of radius at this moment and rate of change of surface area at this moment?
Solution:
First of all, let us have a look at the formula:
[tex]1.\ V = \dfrac{4}{3}\pi r^3\\2.\ A =4\pi r^2[/tex]
Now, differentiating the volume and area, we get:
[tex]\dfrac{dV}{dt} = \dfrac{4}{3}\times 3 \pi r^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dV}{dt} = 4 \pi r^2 \dfrac{dr}{dt}[/tex]
[tex]\dfrac{dA}{dt} = 4\pi \times 2 r \dfrac{dr}{dt}\\\Rightarrow \dfrac{dA}{dt} = 8\pi r \dfrac{dr}{dt}[/tex]
[tex]\dfrac{dV}{dt} = 8 = 4\pi r^2 \dfrac{dr}{dt}\\\Rightarrow 8 = 4\times 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow 2 = 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dr}{dt} = 0.0064\ ft/sec[/tex]
[tex]\dfrac{dA}{dt} = 8\times \pi \times r \dfrac{dr}{dt}\\\Rightarrow \dfrac{dA}{dt} = 8\times 3.14 \times 10 \times 0.0064\\\Rightarrow \dfrac{dA}{dt} = \bold{1.61 \ ft^2/sec}[/tex]
Suppose that Algeria has a workforce of 9,416,534, each of whom earns an average annual salary of (equivalent US dollars) $6,844. If the Algerian government wishes to raise $9 billion in tax revenue, approximately where should it set the income tax rate?
a.
9%
b.
14%
c.
18%
d.
26%
Answer:
its B on e2020
Step-by-step explanation:
14%
If the Algerian government wishes to raise $9 billion in tax revenue, income tax rate should be 14%.
What should the income tax rate be?
Income tax is a form of tax levied on the income of labor by the government. Income tax reduces the income earned by labor.
In order to determine the income tax rate, take the following steps:
Determine the total income of the workforce: 9,416,534 x $6,844 = 64.45 billion
Now, divide the desired tax revenue by the total income: (9 billion / 64.45 billion) x 100 = 14%
To learn more about taxes, please check: https://brainly.com/question/25311567
How do you write this in a expression?please answer quick (take away a number n from 24)
Answer:
24-n
Step-by-step explanation: hope this helps if it does pls give brainliest tysm!
Answer:
24-n
Step-by-step explanation: we taking away so that is substraction.
Pls help me I am d$mb...
Answer:
ur not domb
Step-by-step explanation:
Help help help help help
Answer:
C: 85 + 30x ≥ 500
Step-by-step explanation:
None
Which would describe a translation 2 unis left and one unit up
Answer:
(2, 1) or (1, 2)
Step-by-step explanation:
I not sure :3 I think its most likely (1, 2)
10 points for correct answer and giving brainliest
Answer:G
G is the correct inequality.
HELP ASAP!! Which representation shows y as a function of x ?
Answer:
It is the first answer
Step-by-step explanation:
For it to be considered a function, each x-value can only corresponds (have) one y-value, however, y-values (even if they are the same y-value) can have multiple different x-values.
Which graph represents a proportional relationship?
Answer:
Are there any other answer choices...because none of these are proportional relationships?
Step-by-step explanation:
Hold on, give me a sec I think I had this question. Let me go and check what the answer was.
Joe is paid $7 for each hour he works. Which one shows this same ratio
Answer:
7/1
Step-by-step explanation:
Determine the X Intercept of the following graph:
4
-2
0
2
Best answer gets brainliest!!!
Choose 3 plz!
I believe that the answer B,D,and E
Answer:
A, D, and E (I think)
Step-by-step explanation:
I'm pretty sure those would be the right answers, sorry that this isn't much of an explanation lol
4. Select all the expressions that are less than 3,467.
5
A. 3,467 x
B. 3,467 x
C. 3,467 x
D. 3,467 x
E. 3,467 -