Answer:
The mean is 40.35 and the standard deviation is 0.13.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.
Sample of 10:
By the Central Limit Theorem, the mean is 40.35, and the standard deviation is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{10}} = 0.13[/tex]
The mean is 40.35 and the standard deviation is 0.13.
A Eurasian tree sparrow weighs 0.17 pounds. How many pounds are 4 eurasian tree sparrows and a 2-pound nest?
Find the rate of change of h(x) =-x² + 4x+2 from x=3 to x=7
Answer:
-6
Steps:
solve for x=3
(3,5)
solve for X=7
(7,-19)
then find the slope using
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
and it will be = -6
Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)? (1 point)
pictures down below
Answer: i think the last one is the correct answer
hope this was correct
Step-by-step explanation:
what is 987/12 equal
Answer:
it's 82.25
Step-by-step explanation:
have a good day
Which of the following decimals is equivalent to three and ten hundredths
Answer: 3.1 or 3.10
Step-by-step explanation:
3 and 10 hundredths = 3 + 10/100 = 3 + 0.10
3.10 / 3.1
. The expression (x22)( x 7)3 is equivalent to xD. What is the value of p?
Tim's goal is to practice playing drums for 300 minutes this week. On Sunday he practiced for 127 minutes. On Tuesday he practiced for 38 minutes. How many more minutes does Tim need to practice in order to meet his goal?
Answer:
135 minutes
Step-by-step explanation:
The total number of minutes Tim needs to practice is 300 minutes.
We subtract the number of minutes he has already finshed:
300 - 127 - 38 = 135 minutes
Answer:
138 minutes
Step-by-step explanation:
so all we have to do is subtract the times he practiced for on sunday and tuesday by 300
300-127-38=138
he still has to practice 138 minutes to reach his goal
Areesh is trying to build a box fort. He has 8 feet of duct tape.
The instructions are to use 22.5 inches of the tape to secure the roof of the box fort. Then, the remaining
tape should be cut into 5-inch sections to be used on the walls of the box fort. Areesh will use all of the
duct tape as instructed.
Determine the number of 5-inch sections of tape Areesh can cut.
Answer:
The number of 5-inch cuts if duct tape remainding is 14.
Step-by-step explanation:
1. 96 - 22.5 = 73.5
2. 73.5/5 = 14.7
3. .7 isnt a full piece of tape, so he has 14 5inch tapes
find the function h(x)=f(x)+ g(x) if f(x) =2x^3+1 and g(x)=x^2- 4x+3
Answer:
h(x) = f(x) + g(x)
fill in the equations
h(x) = (2x^3 + 1) + (x^2 - 4x + 3)
h(x) = 2x^3 + 1 + x^2 - 4x + 3
combine like terms
h(x) = 2x^3 + x^2 - 4x + 4
heleoeoeoeoeooeoeoeeoeoeoeoe
Answer:
oh heelo
Step-by-step explanation:
The diagonal of a square has length 14 find the length of a side
Answer:
14
Step-by-step explanation:
because all diagonals are of the same lenght
geometry please help :( so stuck in this topic
Answer:
a (6,-3)
b (9,0)
c (5,1)
Step-by-step explanation:
The Rileys are buying a home that costs $250,000. They are paying 3% in closing costs and 12% for a down payment. Complete the statement. The Rileys will pay a total of in costs for the closing costs and down payment on their mortgage.
Answer:
37,500 and non recurring
Step-by-step explanation:
The Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Rileys are buying a home that costs $250,000.
12% for a down payment
So, down payment is
12% of 250,000
= 12/100 ×250,000
= 12×2500
= $30,000
They are paying 3% in closing costs
3% of 250,000
= 3/100×250,000
= $7,500
Therefore, the Riley's will pay a total of $7,500 in costs for the closing costs and $30,000 down payment on their mortgage.
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-5.2k+2.9 =-12k+30.1
Please show work !
answer: 3.8857
explanation:
Simplifying
-5k + 2.9 = -12k + 30.1
Reorder the terms:
2.9 + -5k = -12k + 30.1
Reorder the terms:
2.9 + -5k = 30.1 + -12k
Solving
2.9 + -5k = 30.1 + -12k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '12k' to each side of the equation.
2.9 + -5k + 12k = 30.1 + -12k + 12k
Combine like terms: -5k + 12k = 7k
2.9 + 7k = 30.1 + -12k + 12k
Combine like terms: -12k + 12k = 0
2.9 + 7k = 30.1 + 0
2.9 + 7k = 30.1
Add '-2.9' to each side of the equation.
2.9 + -2.9 + 7k = 30.1 + -2.9
Combine like terms: 2.9 + -2.9 = 0.0
0.0 + 7k = 30.1 + -2.9
7k = 30.1 + -2.9
Combine like terms: 30.1 + -2.9 = 27.2
7k = 27.2
Divide each side by '7'.
k = 3.885714286
Simplifying
k = 3.885714286
hope this helped;))))
EARN A FAST EASY 10 POINTS JUST BY HELPING ME ASAP!!
Spiral Review "y is less than 3"
Question 1
Part A
Write an inequality that represents the sentence "y is less than 3
then Graph the inequality on the number line.
Answer:
Step-by-step explanation:
y < 3
<__|__|__|__|__|__°__|__|__|__>
-2 -1 0 1 2 3 4 5 6
Basically, for the number line, there is an open circle on the 3 and the line goes to the left of 3.
Neda sells televisions. She earns a fixed amount for each television and an additional $15 if
the buyer gets an extended warranty. If Neda sells 19 televisions with extended warranties, she
earns $1,615. How much is the fixed amount Neda earns for each television?
Answer:
$70.
Step-by-step explanation:
Since Neda sells televisions, and she earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended warranty, if Neda sold 19 televisions with extended warranties and earned $ 1,615, to determine how much is the fixed amount Neda earns for each television must perform the following calculation:
(19 x 15) + X = 1615
285 + X = 1615
X = 1330
1330/19 = 70
Thus, the fixed amount Neda receives for each television is $70.
Answer: $70
Step-by-step explanation:
Since Neda sells televisions, and she earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended warranty, if Neda sold 19 televisions with extended warranties and earned $ 1,615, to determine how much is the fixed amount Neda earns for each television must perform the following calculation:
(19 x 15) + X = 1615
285 + X = 1615
After this step, you can see that the x is already isolated and no number next to it. This is a good thing because you only need to subtract 285 on both sides.
x = 1330
Then...
1330/19 = 70.
Thus, the fixed amount Neda receives for each television is $70.
Your welcome
Marley (honors student)
huilan is 5 years older than Thomas. The sum of their ages is 103. What is thomas's age
Answer:
49 years old
Step-by-step explanation:
x + x + 5 = 103
2x + 5 = 103
2x = 98
x = 49
Answer:
Step-by-step explanation:
Thomas is 49 huilan is 54
summarize what you have learned about this algebraic expressions
The 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
Whose plan would you recommend? Explain.
To raise the amount of $500 each member has to raise $50.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the 10 members of the Photography Club want to raise $500, so they will hold a raffle with donated prizes. Jesse proposes that to reach their goal, each member should sell 50 raffle tickets. Alexis proposes that each member should raise $50.
The amount for each person will be,
Amount = 500/10
Amount = $50
Therefore, to raise the amount of $500 each member has to raise $50.
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The sum of the squares of two positive numbers is 41 and the difference of the two squares of the numbers is 9. Find the numbers. If there is more than one pair, use the "or" button.
Answer:
Step-by-step explanation:
41
HELP...... rewrite the equation by completing the square.
x ^2 +10x+16=0
Answer:
[tex](x+5)^{2} = 9[/tex]
Step-by-step explanation:
To complete the square you need to add [tex]\frac{b}{2}^{2}[/tex]to both sides. (Parenthesis around b/2)
b = 10
b/2 = 5
(b/2)^2 = 25
[tex]x^{2}[/tex] +10x + 16 = 0
subtract 16 to both sides
[tex]x^{2}[/tex] + 10x = -16
add 25 to both sides
[tex]x^{2}[/tex] +10x + 25 = 9
Perfect Square Trinomial Factoring
[tex](x+5)^{2}[/tex] = 9
hi can you please help me with my work
Answer:
Answer is 8 and 3/4
Answer:
the answer would be 8 3/4 in
Choose the number below that represents the digit in the hundreds place of the number 365
Answer:
it's three hope it helps
Step-by-step explanation:
I need help FAST!!!!
Answer:
Step-by-step explanation:
okay, so here are a few methods you can use.
___
1) +
x + 7 = 10 so because this is addition we use the reverse, subtraction. So
x - 7 = 10 - 7 and that equals to 3.
2) -
x - 2 = 10 so because this is subtraction we do the reverse, addition.
x + 2 = 10 + 2 and that equals to 12.
3) x
x times 3 = 21 because this is multiplying we divide.
x/3 = 21/3 and that would be 7.
4) /
x/2 = 10 same as above, reverse is multiplying.
x times 2 = 10 times 2 and thats 20.
GL!
It is known that 40% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is the expected number of adult workers with a high school diploma?
Answer:
The expected number of adult workers with a high school diploma is 4 out of 10
Step-by-step explanation:
4 out of 10 = 40%
Item 4
An account earns simple interest.
$925 at 2% for 2.4 years
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
24
Step-by-step explanation:
if Sin 3x= Cos (x-60), find the value of x
Answer:
x = 15
Step-by-step explanation:
Assuming 3x and x-60 are in degrees, you can use:
cos(a) = sin(a+90)
To rewrite the equation as:
sin(3x) = sin(x-60+90)
sin(3x) = sin(x+30)
3x = x+30
2x = 30
x = 15
But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.
I need help on how to fill a deposit slip, please someone help with details and dont abuse for points.. I want to learn how rather than give the answer.
What is the value of the expression x to the 2nd power minus (4 plus 3x) when x equal 8
A. 12
B. 36
C. 84
D. 92
Plz help what’s the length of the side
Answer:
12
Step-by-step explanation:
Pythagoras Theorem is clearly used in this question.
To Calculate the Hypotenuse:
C = [tex]\sqrt{a^2+b^2}[/tex]
The Adjacent angle has already given as 9, so you can factor that into the question.
In Order to calculate the Opposite angle you need to use the following formula.
[tex]b = \sqrt{c^2-a^2}[/tex]
With the integers we already have for both Hypotenuse and Adjacent factored in this will be your equation:
[tex]b = \sqrt{15^2-9^2} = 12[/tex]
Therefore you answer is 12, Hope this helps, feel free to make as brainilest.