Answer:
The distribution is approximately normal with mean = 2.8 and standard error = 0.4
Step-by-step explanation:
We are given;
Mean; μ = 2.8
Standard deviation; σ = 4
Sample size; n = 100
Now, the central limit theorem states that the sample mean with a sample size(n) from a population mean (μ) and population standard deviation(σ) will, for large value of n, have an approximately normal distribution with mean μ and standard error as (σ/√n)
The sample size is 100 and thus it's very large because it's bigger than minimum of 30 for approximate distribution.
Thus, SE = (σ/√n) = 4/√100 = 4/10 = 0.4
Thus,from the central limit theorem I described, we can say that the distribution is approximately normal with mean = 2.8 and standard error = 0.4
Four more than twice a number is half the number six times. Find the number.
Answer:
x = 4
Step-by-step explanation:
2x + 4 = 6(1/2×)
2x + 4 = 3x
-2x on oth sides
4=×
x is 4
A group of hikers walks 3 miles east and then 1 mile north. After taking a break, they then hike 4 miles east to their final destination. What vector describes their hike from their starting position to their final destination? Let 1 unit represent 1 mile. The vector that describes their hike from their starting position to their final destination is
Answer:
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
Step-by-step explanation:
In this problem we assume that orthogonal axes coincide with the north and east. We proceed to translate each sentence from statement into vectorial equations:
(i) A group of hikers walks 3 miles east and then 1 mile north:
[tex]\vec r_{A} = 3\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
(ii) After taking a break, they then hike 4 miles east to their final destination:
[tex]\vec r_{B} = 4\,\hat{i}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is the sum of the vectors deducted above. That is:
[tex]\vec r = \vec r_{A}+\vec r_{B}[/tex] (1)
[tex]\vec r = (3\,\hat{i}+1\,\hat{j})+4\,\hat{i}\,\,\,[mi][/tex]
[tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex]
The vector that describes their hike from their starting position to their final destination is [tex]\vec r = 7\,\hat{i}+1\,\hat{j}\,\,\,[mi][/tex].
Four friend do yard work for their neighbors over the weekend earning $15, &20, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?
Answer:
$10 each
Step-by-step explanation:
There are four friends
Friend 1 = $15
Friend 2 = $20
Friend 3 = $40
Friend 4 = unknown
NOTE;
You didn't provide the earnings of the fourth friend is not given BUT the question can be solved without knowing the earnings of the fourth friend
The four friends decide to split their earnings equally among themselves
how much will the friend who earned $40 give to the others?
Amount given to others = $40 / 4
= $10
The friend who earned $40 will give $10 each to the others
what is the next best rapper I NEED TO KNOw
Answer:
JJ ice fish
Step-by-step explanation:
Answer:
Cardi B
Step-by-step explanation:
Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are shown in the table below PLS HELP QUICK
Answer:
I think it's 12
Step-by-step explanation: i'm sorry if you got it wrong have the same question to.... sorry
Answer:
it is 12
Step-by-step explanation:
FIRST TO ANSWER WITH IT CORRECT GETS 50 POINTS AND A BRAINLIST THING
Answer:
2. 36
3. 8
4. 64 - 32
5. 7
I hope that this helps you, I'm not sure if number 4 is correct, but I am 100% sure that the rest are correct. I did the math for all of the questions and they should all be correct. I hope you have a wonderful evening!
how to write this numbers in word 89.04
Answer:
eighty-nine point zero four
Step-by-step explanation:
Answer:
u mean 89.04 = eighty-nine point zero four?
Step-by-step explanation:
Can someone help me with the questions in the picture?
Answer:
1) Isosceles - 2 sides are the same.
2) Scalene - all the sides are different, and an oblique angle.
3) Right Triangle - it has a right angle
4) isoscele - 2 sides are the same it has acute angles.
5) Scalene - all the sides are different, and an oblique angle.
6) equilateral - all the sides and angles are the same.
Step-by-step explanation:
M is the midpoint of CB, CM = 3x+1, and MB = 5x−9.
Determine the value of x.
Answer:
x = 5
Step-by-step explanation:
Since both sides are given, set both sides equal to eachother.
3x + 1 = 5x - 9
Segment CM is on the left and segment MB is on the right. From now on, solve for x.
Step 1: Isolate x by itself by subtracting the lesser value
3x + 1 = 5x - 9
-3x -3x the x's on the left cross out
---------------------
1 = 2x - 9
+9 +9 having x on one side
----------------
10 = 2x
__________________________________________________________
Step 2: Divide each side by 2 to get rid of x's coefficient
10 = 2x
/2 /2
----------
5 = x
Solution: x = 5
__________________________________________________________
Solving for CB: Substitute x for both sides since x = 5
3(5) + 1 = side CM
15 + 1 = side CM
16 = side CM
__________________________________________________________
Solving for CB: Solve for the other side (segment MB)
5(5) - 9 = side MB
25 - 9 = side MB
14 = side MB
__________________________________________________________
Solving for CB: Lastly, add up the sides
16 + 14 = segment CB
30 = segment CB
__________________________________________________________
Applying the knowledge of midpoint of a segment, the value of x = 5.
Given:
[tex]CM = 3x+1\\\\MB = 5x-9[/tex]
To solve this, we would apply our knowledge of Midpoint of a Segment to create an equation that will help us solve for the value of x.
Since M as a midpoint of CB, will divide CB into equal segments.Thus:
Given that M is a midpoint of CB, therefore,[tex]CM = MB[/tex]
Substitute[tex]3x + 1 = 5x - 9[/tex]
Collect like terms[tex]3x - 5x = -1 - 9\\\\-2x = -10[/tex]
Divide both sides by -2[tex]x = 5[/tex]
Therefore, applying the knowledge of midpoint of a segment, the value of x = 5.
Learn more here:
https://brainly.com/question/17877300
Pls help me and can you give tips on exponents??!
Answer:
Basically, exponents represent the number of times you multiply that number by itself. For example, 3² = 9, because you multiply 3 times 3.
Step-by-step explanation:
I need help please
Answer:
1, 2
Step-by-step explanation:
An easy way to find the solution to a system of linear equations is to just replace it with x and y.
1, 2
1+2=3(x+y+3)
2+10=12(2x+5y=12)
Answer:
(1,2)
it's correct answer....be sure it's correct
A pitcher can hold 5.2 liters of water. How many 0.4 liter glasses of water can be poured from the pitcher?
10
11
13
5
Which figures are reflections of Figure A?
A) B and D
B) C and E
C) F
D) all of the above
What is the value of x in the equation 18-37x--42x+0.37
Answer:4.48
Step-by-step explanation:
Cuz I sed so. (70% chance of being wrong, so just use 4.48099829836)
What is the slope on this graph
Answer:
Zero slope
Step-by-step explanation:
the line is horizontal on the y axis, so it has a zero slope
and because
i aint never seen two pretty best friends, its always one of em gotta be ugly
what is the slope of this graph?
Answer:
It is -2/3
Step-by-step explanation:
Write each phrase as an expression. 8 increased by a number x
Answer:
8x (i think is the answer)
Step-by-step explanation:
because the starting number is 8
and is being multiplied by unknown number (x)
A punch bowl contained 2 liters of soda, 1 liter of orange juice,
and 1 liter of raspberry juice.
Select the statements that are true.
The ratio of the entire punch bowl to the juices is 2 to 4.
The ratio of the orange juice to the raspberry juice is 1 to 1.
The ratio of the entire punch bowl to soda is 4 to 2.
The ratio of soda to the entire punch bowl is 1 to 4.
The ratio of orange juice to soda is 2 to 1.
Answer:
The ratio of the orange juice to the raspberry juice is 1 to 1.
The ratio of the entire punch bowl to soda is 4 to 2.
Please help me !!!! ASAP
Answer:
the slope is 3/2
Step-by-step explanation:
(x1,y1)= (2,7)
(x2,y2)= (4,10)
slope=
[tex] \frac{y2 - y1}{x2 - x1} = \frac{10 - 7}{4 - 2} = \frac{3}{2} [/tex]
9. If mZP is three less than twice the measure of ZQ, and ZP and ZQ are supplementary
angles, find each angle measure.
Answer: ZQ=61, ZP=119
Step-by-step explanation: knowing that these angles are supplementary, you can set up an equation using x. Angle ZP is 2x-3, and angle ZQ is x. Together they add up to 180. So 2x-3+x=180. 183=3x. X=61.
Simplify the expression 32a769. Assume a = 0 and b +0.
Enter the correct answer in the box.
Answer:
2a^2b^3 ^3squareroot4a
Step-by-step explanation:
Which ordered pair is a solution of the equation?
5x−2y=18
Answer:
Step-by-step explanation:
5x−2y=18
5(0)−2y=18
-2y=18
y=-9
5x−2(0)=18
5x+0=18
5x=18
x=18/5
PLS HELP I WILL GIVE BRAINLIEST
Answer:
C.) 8
Step-by-step explanation:
1 1/2 / 3/16 = 8
Answer:
Its c
Step-by-step explanation:
you convert 1 1/2 into 1 8/16, divided by 3/16. which gives you your answer.
1+1+2+3+4 is what
it says it needs to be 20 characters long
Answer:
11
Step-by-step explanation:
how do you know how to read yet not know this
Find the common difference of the arithmetic sequence –8, -2, 4, ...
Answer:
d = 6Step-by-step explanation:
[tex]a_1=-8\\a_2=-2\\a_3=4\\\\d=a_2-a_1=a_3-a_2=...=a_n-a_{n-1}\qquad\qquad \{n\ge2\}\\\\\left{\big{a_2-a_1=-2-(-8)=-2+8=6}\atop\big{a_3-a_2=4-(-2)=4+2=6\quad\ \,}\right\}\implies\ \ d=6[/tex]
Someone wanted this for an assignment so here's the answer...
Corresponding Angles!
Answer:
need my points
Step-by-step explanation:
Solve: ( 1/9 )^6·81^4
Answer:
Either- 200778.9263 or 81
Step-by-step explanation:
Type this into the calculator:
First: (1/9)^6= 1.881676423x10^-6
Then: 81^4= 43046721
Then multiply the two: (1.881676423x10^-6)x 43046721= 200778.9263
Or
Try this- type ((1/9)^6)x(81^4) into the calculator which comes out to 81
((1/9)^6)x(81^4)=81
Depends on which level you are at in math.
9514 1404 393
Answer:
81
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
1/a^b = a^-b
(a^b)(a^c) = a^(b+c)
__
[tex]\left(\dfrac{1}{9}\right)^6\cdot81^4=9^{-6}\cdot(9^2)^4=9^{-6}9^8= 9^{-6+8}=9^2\\\\=\boxed{81}[/tex]
1.)which of the following actions is NOT a form of transformation
a.) Reflection
b.) Rotation
c.) Dilation
d.) Draw
2.) If two shapes are congruent they must have...
a.) the right angle
b.) the same area
c.) the same perimeter
d.) the same shape and size
3.) If two shapes have the same area and perimeter....
a.) then the two shapes must be congruent
b.) then the two shapes have the same size
c.) the two shapes may not be congruent
d.) then the two shapes have four sides
Answer:
1. d
2. d
3. c
explanation
1. reflection, rotation, and dilations are all transformations
2. congruent shapes have to have the same shape and size, meaning they also have the same angle measures
3. sometimes, shapes may have the same area and perimeter but be different
Help me please as soon as possible
Find the slope, please.!!!!!!!!!!!!!!!!!
Answer:
I think it's one.
Step-by-step explanation:
I took this two year ago.
Answer:
the slope is 1
Step-by-step explanation:
up one over one aka 1/1 = 1