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.
X-6 less than or equal to 3
Answer:
X-6 is less than 3
Step-by-step explanation:
=X-6_3
= 6 >3
What is (-2) ÷ 9
A. - 2/9
B. 18
C. -18
D. 2/9
QUICK PLS PLS IM RUNNING OUT OF TIME
Answer:
A. -2/9
Step-by-step explanation:
the actual answer is -0.22222222222, but it is not listed so the next best answer is A
Answer:
The answer is -0.22222222222
Step-by-step explanation:
Im sorry but there is no other answer :(
The probability that the cause of a malfunction is due to a faulty car battery is 0.317 (31.7%). Consider the claim that using petroleum jelly to clean terminals decreases the likelihood of developing a faulty car battery, so that the probability is <0.317 (31.7%). The null and alternative hypotheses are shown. 0:1:=0.317<0.317 At a significance level of =0.05 , if the proportion of people who use petroleum jelly to clean terminals and develop a faulty car battery is 31.2% or less, the power to reject the null hypothesis is 0.06. Determine the probability of making a type I and type II error for this hypothesis test. ADAC Breakdown Statistics 2013 - How reliable are our cars?, 2013. Car-Addicts.com. http://www.car-addicts.com/consumer-reports/car-service/most-reliable-cars-breakdown-statistics-2013 (accessed Dec 15, 2015). = =
Answer:
woah
Step-by-step explanation:
I need help on this question please
Answer:
dont mind me im just getting my points back
Step-by-step explanation:
Write the slope-intercept equation of the line that passes through the given point and is parallel to the given line.
(−3, 8), x = −3y + 9
Answer:
y= -3yx + 9x - 37
Step-by-step explanation:
Find the Equation Using Slope-Intercept Form
Answer:
y= - (1/3) x + 9
Step-by-step explanation:
y = m x +b === m is slope, b is y-intercept
Solve given equation for y to find parallel slope -- y = - (1/3) x + 3
so parallel slope is - (1/3)
substitute point & slope into equation to find b
8 = - (1/3) (3) + b
b = 9
Which of the following statements is false?
a- log9(0)=0 because 9^0=0
b- log3(9)=2 because 3^2=9
c-log5(5)=1 because 5^1=5
d- log4(0) does not exist because 4^=0 for any x
Answer:
A
Step-by-step explanation:
Same reason as d
That's the answer.
What are the next three terms in the sequence 4,8,12,16?
Answer:
20,24,28
Step-by-step explanation:
It is increasing by 4 each time
Mark me brainliest please :)
Answer:
20, 24, 28
Step-by-step explanation:
yeah
need help with degree of polynomial
Answer:
The degree of a polynomial is the highest exponential power of a term
So the answer is 5
Since 4x^5 has the highest power
Hope it helps
Maplewood Supply received a $5,270 invoice dated 4/15/10. The $5,270 included $270 freight. Terms were 3/10, 2/30, n/60.
a. If Maplewood pays the invoice on April 27, what will it pay?
b. If Maplewood pays the invoice on May 21, what will it pay?
Answer:
The invoice gets paid after 12 days, so mapplewood will get a 3% discount (3/30, 3% off if paid within 30 days). I assume that Freight doesn't get a discount, so I subtract it from the invoice value:
$5250-$250 (freight)=$5000
Discounted invoice becomes:
$5000-3%*5000(discount)=$4850
Add the freight back to the new invoice:
$4850+$250=$5,100 if paid on April 27
B) the invoice gets paid after 36 days, so the invoice gets paid in full ( n/60; in other words, invoice paid in full if paid within 60 days, therefore $5,250)
Step-by-step explanation:
si yo tengo 2 Manzanas y muerdo una cuantas manzanas me quedan
Answer:
te quedan una manzana porque muerdises una manzana
Ivan used 3 rolls of blue fabric to make costumes for the annual school play. He used a total length of 12.6 yards of fabric. If each roll had the same length of fabric, how much fabric was in each roll? Write your answer in inches.
Use the table of conversion facts as necessary, and do not round your answer.
Answer:
Step-by-step explanation:
151.2
An equilateral triangle has a height of 6 centimeters. What is the exact length of one of the sides of the triangle?
4 cm
O 23 cm
O 2 cm
O 473 cm
Answer:
The length of each side of the equilateral triangle is 6.93 cm.
Step-by-step explanation:
Check the image uploaded for diagram;
The length of each side of the equilateral triangle is y;
Apply Pythagoras theorem to determine y;
[tex]y^2 = 6^2 \ + \ (\frac{y}{2} )^2\\\\y^2 = 36 \ + \ \frac{y^2}{4} \\\\multiply\ through \ by \ 4;\\\\4y^2 =144 \ + \ y^2\\\\4y^2 - y^2 = 144\\\\3y^2 = 144\\\\y^2 = \frac{144}{3} \\\\y^2 = 48\\\\y = \sqrt{48} \\\\y = 6.93\ cm[/tex]
Therefore, the length of each side of the equilateral triangle is 6.93 cm.
A equilateral triangle is the triangle in which all the three sides are of equal length in measure.
The side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.
What is equilateral triangle?A equilateral triangle is the triangle in which all the three sides are of equal length in measure.
The relation between the height and the side of the equilateral triangle can be given as,
[tex]a=\dfrac{2h}{\sqrt{3} }[/tex]
Given information-
An equilateral triangle has a height of 6 centimetres.
The side of the equilateral triangle which has a height of 6 centimetres can be calculate using the above formula. Thus,
[tex]a=\dfrac{2\times6}{\sqrt{3} }\\a=\dfrac{12}{3} \\a=4[/tex]
Thus the side of the equilateral triangle is 4 centimetres. Hence the option A is the correct option.
Learn more about the equilateral triangle here;
https://brainly.com/question/1099318
help pleaseeeeeee!!!!!!
Answer:
5x + 100
Step-by-step explanation:
(2x + 6) x 2 = 4x + 12
14x + 8 - 4x + 12 =
10x + 20 / 2 =
5x + 100
Hope that helps!
at what rate of compound interest per annum will a sum of rupees 2500 become rupees 2500 in 2 years
Answer: 2500 for 2 years at 4 per cent per annum , compound intrest being reckoned semi-annually.
There are 5,000 books in the town's library. Of these,4,400 are fiction. To find the percent of the books that are fiction, first set up the percent equation. Then find the percent. Setup the percent equation. Choose the correct answer below. A. m B. m C. m Your answer is not correct.D. m This is the correct answer. nothing% of the books are fiction
Answer:
4,400=m•5,000 and 88%
Can you help me with this linear equation?
Find x:
-8x+7=4
Answer:
[tex] \tt \: - 8x + 7 = 4 \\ \tt \: - 8x = 4 - 7 \\ \tt \: - 8x = - 3 \\ \tt \: x = \frac{3}{8} [/tex]
What is the value of x in the equation shown below.
0.25x + 7 = 4(x - 2)
Answer:
x=4
Step-by-step explanation:
0.25x+7=4(x−2)
Use the distributive property to multiply 4 by x−2.
0.25x+7=4x−8
Subtract 4x from both sides.
0.25x+7−4x=−8
Combine 0.25x and −4x to get −3.75x.
−3.75x+7=−8
Subtract 7 from both sides.
−3.75x=−8−7
Subtract 7 from −8 to get −15.
−3.75x=−15
Divide both sides by −3.75.
x=-15/-3.75
Expand -15/-3.75 by multiplying both numerator and the denominator by 100.
x=-1500/-375
Divide −1500 by −375 to get 4.
x=4
Whoever can answer this will get brainlyest
Answer:
The proportion is [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex], and the length of the unknown side is [tex]\frac{245}{9}[/tex] or 27.22 approximately rounded to the nearest hundredth.
Step-by-step explanation:
Since the triangles are similar, the proportion of corresponding sides are equal. The pairs of corresponding sides in these triangles which we'll use to solve it are LK, KE, MK, and KF. LK and KE are corresponding sides, and their proportion is [tex]\frac{35}{108}[/tex]. MK and KF are corresponding sides, and their proportion is [tex]\frac{x}{84}[/tex] in which x represents the missing side. The proportions are equal, so [tex]\frac{35}{108}[/tex] = [tex]\frac{x}{84}[/tex]. Multiply both sides by 84 to isolate the variable, and you'll get [tex]x = \frac{35*84}{108}[/tex], which is [tex]\frac{2940}{108}[/tex] or [tex]\frac{245}{9}[/tex].
120g:5kg in simplest form
what is the slope of the line passing though the points (-3, 4) and (4, -1)
Answer:
[tex]\displaystyle m=\frac{-5}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 4)
Point (4, -1)
Step 2: Identify
x₁ = -3, y₁ = 4
x₂ = 4, y₂ = -1
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-1-4}{4--3}[/tex][Slope] Simplify denominator [Fraction]: [tex]\displaystyle m=\frac{-1-4}{4+3}[/tex][Slope] Subtract/Add [Fraction]: [tex]\displaystyle m=\frac{-5}{7}[/tex]2c=8 and after you have to do subtraction to check
Answer:
Whats the question?
Step-by-step explanation:
On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?
350d ___ 1,400
(> or < or less than/more than equal to)
Answer:
They can have brainliest now!!!!
Step-by-step explanation:
7 cm
10.5 cm
13 cm
Your Turn!
3 m
15 m
11 m
5m
Answer: number 1 . 6688.5 then rounded is 6689.
Number 2. 2475
Step-by-step explanation:
An inequality is shown. Select all the values of n that make the inequality true.
2/3n≥3/2
plss helppp
Answer:
n≥9/4
Step-by-step explanation:
Times both sides by 3/2
(3/2)(2/3)n≥(3/2)(3/2)
Note that because 3/2 is positive ( > 0) we don't flip the inequality's direction.
n≥9/4
SOLVE THE TRIANGLE BELOW FOR ALL THE
MISSING PARTS AND FIND THE AREA OF THE
TRIANGLE
b = 7, c = 10, A = 51°
Answer:
The missing part of the triangle should be 7
Step-by-step explanation:
Hope this Helped
Sarah bought 3 fish. Every month the number of fish she has doubles. After m months, she will have F fish, where F = 3× 2m. If Sarah keeps all of the fish and they allI live, how many fish will Sarah have after 3 months?
A)4•sin(65 degrees)
B) 1.9•cos(65 degrees)
C) 4/sin(65 degrees)
D) 1.9/cos(65 degrees)
HELP ME QUICKLY AND PLS EXPLAIN HOW YOU GOT YOUR ANSWER! ILL EVEN GIVE BRAINLIEST<3
Laura wants to cut the board into equal pieces so that each piece is 5/8 foot long. How many pieces will she have? (The board is 12ft)
Answer:
Step-by-step explanation:
This is a straight forward division problem.
12/(5/8).
The rule for division of fractions is: invert the denominator and multiply.
For this problem: 12/(5/8) = 12 * 8/5 = 96/5.
is 63 the soloution to p/9 = 7
Answer:
yes it is
Step-by-step explanation:
Yes the solution to p/9 = 7 is 63.
