An article describes the chemical compositions of certain minerals in the early Archaean mantle. 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. Find the mean and standard deviation of the sample mean SiO2 content in a random sample of 10 rocks. Round the mean to two decimal places. Mean Standard deviation
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.
Binomial Theorem
The constant term in the expansions of
[tex](px^{3} + \frac{q}{x ^{3} } )^{8} [/tex]
and
[tex](p {x}^{2} + \frac{q}{ {x}^{2} } ) ^{4} [/tex]
are equal, and p and q are both greater than zero. Express p in terms of q.
Answer:
[tex]\frac{p^{4} x^{24}+6p^{2}q^{2}x^{12}+q^{4}+4p^{3}qx^{18}+4pq^{3}x^{6}}{x^{12} }[/tex]
Step-by-step explanation:
Solve the following linear equations: p - 8 =3p
Answer:
P=4
it's a right answer
Answer:
p = -4
Step-by-step explanation:
p - 8 = 3p
-2p - 8 = 0
-2p = 8
p = -4
HELPPPPP ME PLEASEEEE
Answer:
4x-8 = 4x+12
Step-by-step explanation:
you multiply everything in the parentheses by what is outside of it
4(x-2) = 2(2x+6)
4(x)=4x & 4(-2)=-8 2(2x)=4x & 2(6)=12 then write the numbers as an equation:
4x-8 = 4x+12
40 - 2x [(8 x 3 + 6) +
12 -2 pls answer correctly
Answer:
40 is the answer . is it right or Not?
Answer:
-10
Step-by-step explanation:
40 - 2x [(8 x 3 + 6) + 12 -2
Using BODMAS meaning Bracket Of Division Multiplication Addition and Subtract
Solve Bracket first multiplying first inside the bracket then add your result
40 - 2x [(8 x 3 + 6) + 12 -2
40 - 2x [(24 + 6) + 12 -2
40 - 2x(30) + 12 -2
Multiple
40 - 60+12-2
-10
Can you guys help me and answer this math question below please I really need help I'll mark brainliest to whoever answers
Answer:
answer is "U"
Step-by-step explanation:
Answer:
U
Step-by-step explanation:
x,y.
go to your left five then up five
For algebraic expression 2x4
– 5x3 + 4x. + 7, find (5)
a) Degree of polynomial
b) Number of terms
c) Constant term
d) Coefficient of x
e) Numerical coefficient of -5x3
.
Answer:
See explanations below
Step-by-step explanation:
Given the algebraic expression 2x4– 5x3 + 4x. + 7,
a) The degree is the highest power of x in the equation, from the equation we can see that the highest power of x is 4. HEnce the degree of the equation is 4
b) The terms we have are 2x^4, -5x^3, 4x and 7. In counting, we can see that we only have 4 terms in the equation hence the number of terms is 4
c) The constant term si the term without the variable x. From the equation the only term without variable x is 7. Hence the constant term is 7
d) The number attached t x is known as its coefficient. The number besides x is 4 frim the equation. Hence the coefficient of x is 4.
e) The numerical coefficient of -5x^3 is -5 since the constant value attached to x^3 is -5
Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is
based on the number of students in her class.
t = the number of treats
S = the number of students
Which of the variables is INDEPENDENT
Answer:
its the student
Step-by-step explanation:
mark me brainliset plz
What is the value expression of [32 × (2.4 ÷ 4)] + 1.7
Step-by-step explanation:
[32 × (2.4÷4)] + 1.7[32 × 0.6] + 1.719.2 + 1.720.9---------------------------------------FOLLOW MEAnswer: 39.1
Step-by-step explanation:
A ____________________ is a measurement of the change in variables over a specific period of time.
Group of answer choices
an ordered pair
graph
table
rate of change
Answer:
rate of change
Step-by-step explanation:
The rate of change (ROC) is the speed at which a variable changes over a specific period of time.
find the inequality represented by the graph pleasseee help me
Answer:
y≥1/2x is the answer for this problem
The table shows a linear relationship between x and y. What is the rate of change of y with respect to x.
A. -9/2
B. 2/9
C. -2/9
D. 9/2
Answer:
A. -⁹/2
Step-by-step explanation:
Using any two pairs of values form the table, say (-12, 60) and (-6, 33),
Rate of change = ∆y/∆x
= (33 - 60) / (-6 -(-12))
= -27/6
= -9/2
Rate of change = -⁹/2
The rate of change of y with respect to x is -9/2
Option A is correct
For a linear relationship, the rate of change of y with respect to x is given by the formula:
[tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]
From the table:
[tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex]
Substitute [tex]x_1=-20, x_2=-12, y_1=96, y_2=60[/tex] into the equation [tex]\frac{\triangle y}{\triangle x} =\frac{y_2-y_1}{x_2-x_1} \\[/tex]
[tex]\frac{\triangle y}{\triangle x} =\frac{60-96}{-12-(-20)} \\\\\frac{\triangle y}{\triangle x} =\frac{-36}{8}[/tex]
Reduce the expression to the lowest term by dividing the numerator and denominator by 4
[tex]\frac{\triangle y}{\triangle x} =\frac{-9}{2}[/tex]
The rate of change of y with respect to x is -9/2
Learn more on rate of change here: https://brainly.com/question/8728504
what is the complement of 3/8?
8.009 is greater or 8.09 is greater
Answer:
8.09
Step-by-step explanation:
Answer:
8.09
Step-by-step explanation:
8.09
If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
360
180
120
60
90
Answer:
180
Step-by-step explanation:
Answer:
The answer is 180
Step-by-step explanation:
To check the answer:
Since 60 is part of a half then 60 * 60 = 120
Now we have to find the other 60 remaining from 180 because 180-120 is 60.
1/2 of 180 is 90.
90-60 = 30
if one half is equal to 90 then the other half is equal to 90.
Someone please help me with these. I forgot how to do these. Need within a hour
Answer:
just add them
Step-by-step explanation:
how do you solve problems like 6.45/0.25
Answer:
25.8
Step-by-step explanation:
divide
Answer:
divide like i said
Step-by-step explanation:
Each of the following phrases describes a numerical value.
the absolute value of 9
the opposite of 9
Which of the following statements is TRUE about the relationship between the numerical values?
A.
The absolute value of 9 is farther from 0 on a number line than the opposite of 9.
B.
The opposite of 9 is equal to the absolute value of 9.
C.
The opposite of 9 is the same distance from 0 on a number line as the absolute value of 9.
D.
The absolute value of 9 is less than the opposite of 9.
Answer:
C. is the correct answer just that the only difference between then is the negative or minus sign
Merei and Jona buy the $2000 Super PC special package desktop computer. What is the total amount they will pay? Question response area Select one option $530 $1560 $2000 $2060 $2530
Answer:
$2000
Step-by-step explanation:
Given data
We are given that the price of the super PC is $2000
Since they are buying only one of the super PC they will have to pay
$2000
Hence option C is the correct answer
Work out
A.
32-5x7
B.
3x 8-93
C.
4 x (1 + 5 – 8)
Answer:
what is the question. Please write exponents as follows: 5x^7.
Mariah worked for 3 hours and earned a total of $28.50. Which equation can be used to find r, the amount of money Mariah earns per hour?
Answer:
she earns about 9 dollars and 50 cents an hour
Step-by-step explanation:
Answer:
r=28.5 divided by 3
Step-by-step explanation:
will give brainliest !!!
Answer:
B. E' ( -1, 1)
Step-by-step explanation:
5 to the left =
4 - 5
2 up =
-1 + 2
good luck, i hope this helps :)
A bag contains 7 pears and 3 apples. If you select 2 pieces of fruit without looking, how many ways can you get 2 pears.
Answer:
There are 2 ways, since we'd chosen 2 fruits
PROBABILITY:
([tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]) or [tex]\frac{1}{10}[/tex]
METHOD:
In the 2 fruits we took both of them might be pears either maybe one of them can be a pear. The same is possible with the other fruit.
PLEASE DO MARK MY ANSWER AS THE BRAINLIEST..
<HOPE IT HELPS>
find the remainder when x³-2x²+4x-3 is devided by x-2
Answer:
x²+4
Step-by-step explanation:
a rectangular park has an area of 2/3 square mile. The length of the park is 2 2/3 the width of the park. What is the width of the park?
Answer: Area of the rectangular park = 2/3 square mile
Let us assume the width of the rectangular park = x
Then
The length of the rectangular park = 2 2/3 * x mile
= 8x/3 mile
Then
Area of the rectangular park = Length * Width
2/3 = (8x/3) * x
2/3 = 8x^2/3
(2 * 3)/3 = 8x^2
2 = 8x^2
x^2 = 2/8
x^2 = 1/4
x^2 = (1/2)^2
x = 1/2
So the width of the park is 1/2 feet.
hope this helps have a nice day❤️
Step-by-step explanation:
What is the domain of the function represented by the graph?
Answer:
It's either A or D.......
I need help with this if you get it right I will mark you
Answer:
D
Step-by-step explanation:
HELP ME PLSSS IM GIVING BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Which of the following accurately describes either the purpose or benefit, if any, of implementing controls in the design of an experiment? Check all that apply.
Group of answer choices
A. By controlling variables, the differences observed in the response variable can be attributed to the treatment and not some other factor.
B. There is no benefit of control in the experiment.
C. By controlling variables that may influence the response variable, we eliminate variability in the response variable.
D. By controlling variables in the experiment, we eliminate the need to have a control group.
E. By controlling variables that may influence the response variable, we reduce variability in the response variable.
Answer:
B D OR 2 4
Step-by-step explanation:
The purpose or the benefit for implementing the control in the design of the experiment should be option B and option D.
What is the control in experimental design?At the time of conducting an experiment, the control refer to an elements where it should not be changed or not be impacted by the other variables.
It is used like the benchmark or the comparsion point where the other test result should be determined.
Moreover, there is no benefit and we remove the requirement of the control group.
Hence, the option b and option d is correct.
Learn more about experiment here; https://brainly.com/question/9882283
The perimeter and area of a wall have the same value. If the base of the wall is 7 meters long, what is the height of the wall?
Answer:
I don't know
Step-by-step explanation:
Answer:
Step-by-step explanation:
3