Answer:
3.4 kg
0.06 kg
Step-by-step explanation:
Given that:
Birthweight follows a normal distribution :
Mean weighf (m) = 3.4 kg
Standard deviation (σ) = 0.6 kg
Sample size (n) = 100 new born babies
calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
The sample mean birth weight = population mean birth weight for a normal distribution according to the central Limit theorem.
Hence, sample mean birth weight = 3.4kg
Standard deviation of sampling distribution = standard error = σ/√n
0.6 / √100
= 0.6 / 10
= 0.06 kg
Using the Central Limit Theorem, it is found that:
The mean is of 3.4 kg.The standard deviation is of 0.06 kg.Central Limit Theorem The Central Limit Theorem establishes 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 skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.In this problem:
Mean of 3.4 kg, hence [tex]\mu = 3.4[/tex].Standard deviation of 0.6 kg, hence [tex]\sigma = 0.6[/tex].Samples of 100, hence [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]Hence, the mean of the sampling distribution is of 3.4 kg and the standard deviation is of 0.06 kg.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213
Convert 5 gram in quintal
Answer:
5e-5
Step-by-step explanation:
I hope that is right
Quadratic functions q and ware graphed on the same coordinate grid.
The vertex of the graph of g is 18 units below the vertex of the graph of w.
Which pair of functions could have been used to create the graphs of q and w?
Answer:q(x)=18x^2 and W(X) = x^2
Step-by-step explanation:
The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]
What is the vertex of the parabola?The vertex of a parabola should be the point where the parabola crosses its axis of symmetry. In the case when the coefficient of the x2 term is positive, so the vertex will be the lowest point on the graph.
Since The vertex of the graph of g is 18 units below the vertex of the graph of w so the above functions should be considered.
Therefore, The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]
Learn more about graph here: https://brainly.com/question/18536923
PLEASE DO ALL 4 ASSAPP
Write an equation in standard form of the line shown.
Answer:
All are in the picture
Step-by-step explanation:
lmk if you'd like me to explain more on any of them :)
Paul, Colin and Brian are waiters.
One night the restaurant earns tips totalling £77.40.
They share the tips in the ratio 2:3:4.
How much more does Brian get over Paul?
At the science fair, Christine uses 8 fluid ounces of vinegar to make her volcano erupt. How many times can she make her volcano erupt with 1 quart of vinegar?
Answer:
1 quart gives 32 ounces. And you already know how many ounce are needed to erupt. So the last step you can figure out easily.
Give brainiest.
Christine can make her volcano erupt 4 times because 8 fluid oucens equals 1 cup and there are 4 cups in one quart.
Hope it helps!
Have a good day/night
Brainliest pls?
nth term of a sequence is n(n+1) what term is 240? is 55 a term in the sequence?
Answer:
a₁₅ = 240 55 is not term in the sequenceStep-by-step explanation:
[tex]n(n+1)=240\\\\n^2+n-240=0\\\\n=\dfrac{-1\pm\sqrt{1-4(-240)}}{2}=\dfrac{-1\pm\sqrt{1+960}}{2}=\dfrac{-1\pm31}{2}\quad\wedge\quad n\in N_+\\\\n=15[/tex]
if n is even number then (n+1) is odd number and if n is odd number then (n+1) is even number
The product of numbers where one of them is even will always be even.
55 is odd number so it is not term of this sequence.
ILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!! Which conversion factor would you use to convert from meters to feet?
Answer:
1 ft / 0.3048 m
Step-by-step explanation:
A scientist was interested in studying if students beliefs about illegal drug use change as they go through college. The scientist randomly selected 104 students and asked them before they entered college if they thought that illegal drug use was wrong or o.k. Four years later, the same 104 students were asked if thought that illegal drug use was wrong or o.k. The scientist decided to perform McNemar's test. The data is below. What is the proportion of students that thought that is was wrong after college?
Answer:
gang gang
Step-by-step explanation:
. In 2000, the population of Dallas was 1,188,580. Round that number
to the nearest hundred thousand.
b. Round 3.14159 to four decimal places.
. The price of regular unleaded gasoline was $2.19 Round that price
to the nearest cent.
d. ESTIMATE Estimate the height of the ceiling in your classroom in
meters and in feet.
.. Estimate the sum of 3879 and 5276.
1. Estimate the product of 121 and 9.75 by rounding each number to the
nearest whole number before multiplying.
D. EVALUATE Gus works 39 hours for $9.85 per hour. He calculates that
his weekly paycheck should be $38,415. What is a reasonable
estimate of what Gus earns? How do you suppose Gus arrived at his
calculation?
h. A rectangular room is 11 feet long and 10 feet wide. Grace
calculated the area to be about 124 square feet. Explain why her
calculation is or is not reasonable.
1. It is 6:05 p.m, and Eduardo is driving to Dallas. If he is 157 miles away
and driving at an average speed of 62 miles per hour, is it reasonable
that he can reach Dallas by 9:00 p.m.? Explain your answer.
Answer:
please forgive me I have no clue
Step-by-step explanation:
[tex]28-(3x+4)=2(x+6)+x[/tex]
Answer:
-47
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(6, 4)(9,9)
Need Help with Polynomials
Tell Whether each expression is Polynomial
1. -45
2. 2/x
3. 5 + 3x^2
4. 8 + y
5 2x^2 + xy + y^3
6. 3a^3 - 4a^2 - 5
7. x^2/12
8. -m^2 - 4m + 9
9. 9a^5b^4 + 3a^3b^2 + 8
10. 14a^2b^3c^3d^4
11. 8x^3 - 5x^2 + 3
12. 15/x^2 + 3x
13. -10a^2b^7 + 3c
14. 2m^3 - 2m + 3
15. x^3 + 3y^3 + z^3
Answer:
1. yes all yes
Step-by-step explanation:
Answer:
Step-by-step explanation:
to be honest there is a handbook you can look at for the anwsers its a student handbook
Hi , I will mark brainliest for who get it right.
Also pls hurry this is on my Unit Test and I'm timed.❤❤
Answer:
28x+8y+2
Step-by-step explanation:
-2×3x=-6x
-2×12y=-24y (+×-)=(-)
-2×-5=10(-×-)=(+)
-2×-17x=34x
-2×-16y=32y
-2×4=-8
collect like terms
-6x-24y+10+34x+32y-8
28x+8y+2
3(7 - 2x) - 19 - 5(4- x) = 3(8 - 6x) - 9x + 5(4- x)
Answer:
x=2
Step-by-step explanation:
3(7-2x)-19-5(4-x) = 3(8-6x)-9x+5(4-x)
or, 21-6x-19-20+5x = 24-18x-9x+20-5x
or, 21-19-20-6x+5x = 24+20-18x-9x-5x
or, -18-x = 44-32x
or, -x+32x = 44+18
or, 31x = 62
or, x = 62/31
or, x = 2
Answer:
Step-by-step explanation:
21-6x-19-20+5x=24-18x-9x+20-5x distribution property
-x-18=44-32x common factors
31x-18=44 add 32x to both sides
31x=62 add 18 to both sides
x=2 divide 31 to both sides(equals 2) so x equals 2
PLSS HELPPPPPPPP HELPP ASP
Answer:
B
Step-by-step explanation:
has a ratio of 6 to 1
Answer:
B is the correct answer
44.8 is what percent of 160?
Answer:
28% .................
Answer:
28%
Step-by-step explanation:
100%/x%=160/44.8
(100/x)*x=(160/44.8)*x - we multiply both sides of the equation by x
100=3.5714285714286*x - we divide both sides of the equation by (3.5714285714286) to get x
100/3.5714285714286=x
28=x
x=28
now we have:
44.8 is 28% of 160
True or false: a translation produces congruent figures?
A.) true
B.) false
are 1/8 and 12.5% equivalent QUICK
Answer:
Step-by-step explanation:
Yes they are equivalent
Hope it helps!
*Gotta go fast*
Guess this equation for brainliest
1 + 1 =?
2 X 4 = ?
2xy - y)/(x - 1) = ?
5 X 1
Answer:
1 plus 1= 2
2 × 4 = 8
5 × 1 =5
Step-by-step explanation:
IM SO SORRY IF IM WRONG! I just multiplied and added...
Answer:
1+1=2
2x4=8
?
5x1=5
Step-by-step explanation:
Jack has 3 bags of golf balls
Answer:
Good for Jack. (Whats the equation or question) I cant solve it is he only has golf balls, what happens to the golf balls??
Step-by-step explanation:
A bag contains 6 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains more red than yellow apples
Answer: 21/44
Step-by-step explanation:
Given that:
Bag contains :
6 red apples
6 yellow apples
Number of samples drawn = 3
Probability that sample contains more red than yellow :
Then from the three samples, red = 2 and yellow = 1 or red for all 3
Prob of RRR = (6/12)(5/11)(4/10)= 120 / 1320
Prob RRY = (6/12)(5/11)(6/10)= 150/1320
Prob RYR is (6/12)(6/11)(5/10)= 180/1320
Prob YRR is (6/12)(6/11)(5/10)=180/1320
120/1320 + 150/1320 + 180/1320 +. 180/1320 = 630/1320 =126/264 = 42/88 = 21/44
Given log3 4 = 1.262 and log3 7 = 1.771, what is the value of log3 (7/16)?
Answer:
[tex]log_3(\frac{7}{16}) =-0.753[/tex]
Step-by-step explanation:
Use the laws of log()
[tex]log_x(\frac{a}{b}) =log_x(a)-log_x(b)[/tex]
[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(16)[/tex]
[tex]log_3(\frac{7}{16}) =log_3(7)-log_3(4^2)[/tex] you can move exponent outside of log()
[tex]log_3(\frac{7}{16}) =log_3(7)-2log_3(4)[/tex]
[tex]log_3(\frac{7}{16}) =(1.771)-2(1.262)[/tex]
[tex]log_3(\frac{7}{16}) =-0.753[/tex]
The required value of log₃ (7/16) is 0.753 which is determined by properties of logarithms.
What are the properties of logarithms?There are four basic properties of logarithms:
logₐ(xy) = logₐx + logₐy.
logₐ(x/y) = logₐx - logₐy.
logₐ(xⁿ) = n logₐx.
logₐx = logₓa / logₓb.
The functions of logarithmic are given in the question
log₃ 4 = 1.262 and log₃ 7 = 1.771
We have to determine the value of log₃ (7/16)
⇒ log₃ (7/16) = log₃ 7 - log₃ 16
⇒ log₃ (7/16) = log₃ 7 - log₃ 4²
Using property of logarithm logₐ(xⁿ) = n logₐx.
⇒ log₃ (7/16) = log₃ 7 - 2 log₃ 4
Substitute the values of log₃ 4 = 1.262 and log₃ 7 = 1.771 in the above equation,
⇒ log₃ (7/16) = 1.771 - 2(1.262)
⇒ log₃ (7/16) = 1.771 - 2.524
⇒ log₃ (7/16) = 0.753
Therefore, the required value of log₃ (7/16) is 0.753.
Learn more about the logarithmic properties here:
brainly.com/question/24211708
#SPJ2
Suppose A gas station monitors how many bags of ice they sell along with the maximum daily temperature for 100 days. A gas station data analysis plots the data in a scatterplot with temperature, in degrees Fahrenheit, on the horizontal axis and the number of bags of ice sword on the vertical axis. She calculates a linear correlation coefficient of r= 0.9972. The mean Temperature is 83.8959 degrees Fahrenheit with a standard deviation of 11.2921 Degrees Fahrenheit. The mean number of ice bags sold is 70.3873 with a standard deviation of 27.8 913.
Answer:
hello your question is incomplete attached below is the complete question
answer :
a ≈ - 136
b = 2.46
Step-by-step explanation:
A) we apply the formula for slope in regression
b = r * [tex]\frac{Sy}{Sx}[/tex] --------- ( 1 )
where:
standard deviation (Sy) = 27.8913
standard deviation ( Sx ) = 11.2921
Linear correlation coefficient ( r ) = 0.9972
substitute given values into equation 1
b = 2.46
for intercept A
a = Y - b * X --------- ( 2 )
Mean number of ice bags sold ( Y )= 70.2873
b = 2.46
Mean temperature ( X )= 83.8959
substitute given values into equation 2
a = 70.2873 - ( 2.46 * 83.8959 )
= - 135.997
Solve for t.
-t = 9(t – 10)
= 1
PLEASE HELP ME
Identify the polynomial divisor, dividend, and quotient represented by the synthetic division.
Divisor:
A. –3
B. 3
C. x – 3
D. x + 3
Dividend:
A. 2x3 + 11x2 + 18x + 9
B. -6x3 - 15x - 9
C. 2x2 + 5x + 3
Quotient:
A. 2x4 + 11x3 + 18x + 9
B. 2x3 + 5x2 + 3x
C. 2x2 + 5x + 3
Answers For Entire Assignment!!
Page 1 D, A, C
Page 2 C
Page 3 B, A
Page 4 C, D, F
Page 5 Identify the factor x + 3 from the given root –3.
Use synthetic division to divide the polynomial by x + 3.
Use the bottom row of the synthetic division as coefficients in the quadratic 2x2 + 3x – 2.
Factor the quotient to find the two other factors: x + 2 and 2x – 1.
Page 6 B, C, E
Page 7 B, 1.3
Page 8 The student used k = –5 instead of k = 5. And the student did not use a placeholder zero for the x2 term. Also, x – 5 is a factor because there is no remainder when the division is performed correctly.
Trust The Milk. Get that hundo.
what is 7-3+6+x equal ??
Answer:10+x
Step-by-step explanation:
Identify the Y-intercept
3.5
B
1.5
0.5
2 x
-0.5
Answer:
D
Step-by-step explanation:
Which equation represents the graph shown below
A) y=2x+3
B) y=3x+2
C) y=2/3x+b
D) y=5x
Answer:
A Y=2X +3
Step-by-step explanation:
Y=mx +b
y=2x + 3
slope is 2
y intercept is 3
It takes Taylor hour to make of a batch of cookies. About how long will it take him to make 8 batches?
A.
1.1 hours
B.
3.6 hours
C.
5.4 hours
D.
7.2 hours
Answer:
7.2 I think, closest to 8 hours?
Solve for the variable
-3/4b = 2
Answer:
b = 2.666.......
Step-by-step explanation:
[tex]-\frac{3}{4} b = 2[/tex]
------ -----
[tex]-\frac{3}{4}[/tex] [tex]-\frac{3}{4}[/tex]
b = 2.666.....