Answer:
a^2 + b^2 + c^2 +2ab + 2ac + 2bc
30 POINTS
Suppose the average age of 42 meerkats in a clan is known to be 5.2 years-old. Which statement BEST describes a random sample of 15 meerkats from the clan?
A) The random sample of 15 meerkats should be exactly 5.2 years-old.
B) The random sample of 15 meerkats should be close to 5.2 years-old.
C) The random sample of 15 meerkats should be more than 5.2 years old.
D) The random sample of 15 meerkats should be less than 5.2 years old.
Using the Central Limit Theorem, it is found that the correct option is:
B) The random sample of 15 meerkats should be close to 5.2 years-old.The Central Limit Theorem states that taking a sample of size n for a population of mean [tex]\mu[/tex], the sample means are going to be close to [tex]\mu[/tex].
The larger the value of n, the closer the sample mean should be to [tex]\mu[/tex]In the context of this problem, the sample mean should be close to 5.2 years old, and the correct option is B.
For more on the Central Limit Theorem, you can check https://brainly.com/question/25581475
Answer:
its b
Step-by-step explanation:
on usatp
Evaluate the expression when a=-2 and x=7.
-2a+x
Step-by-step explanation:
-2a + x
Putting values of a = - 2 and x = 7
-2(-2) + 7
4 + 7
= 11
Given the function g(x) = –11 + 12x + x over 3, evaluate g(4).
g(−3)=2
g(0) = 3g(0)=3
Step-by-step explanation:
Given
The attached graph
Required
Determine
g(-3)g(−3)
g(x) = 3g(x)=3
Since a graph has been provided, the question will be solved graphically;
Solving g(-3)
This implies that;
x = -3
And the interpretation is to solve for the y value when x = -3
From the attached graph;
When x = -3; y = 2
Hence;
g(-3) = 2g(−3)=2
Solving g(x) = 3
This implies that;
y = 3
And the interpretation is to solve for the x value when y = 3
From the attached graph;
When y = 3; x = 0
Please quickly answer number 6 will give brainliest
#26: Angles
A triangle has angle measures of 42.5° and 86.7º. What is the measure of the third
angle in the triangle?
Answer:
50.8 degrees is the third angle
When Zainab started work, her original hourly wage was ‘y’ dollars. Her wage was then doubled, and then increased by $4. If Zainab now gets paid $17 an hour, what was her original hourly wage?
Answer:
$6.5 dollars
Step-by-step explanation:
We can make an equation to find out the original total.
2y+4=17
(subtract 4 from both sides)
2y=13
(divide by 2)
y=6.5
Hope this helped :D
There is a row of 15 trees in a garden. Starting from the first tree, a gardener marked every second tree, then, on his way back, he marked the first tree, and then every third tree. How many trees are left without a mark?
Answer:2
Step-by-step explanation:
15/3 = 5
15/2 = 7.5
+1
= 13
15 - 13 = 2
=====================================================
Explanation:
The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.
The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.
Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.
Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}
We see that the following trees aren't marked: {2,6,8,12,14}
There are 5 items in that last set.
Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.
8. Jordan has $11.40 to spend at the used book store. Each book costs $280. How many books can Jordan buy?
Answer:
0
Step-by-step explanation:
Jordan hasn't got enough money to buy any books, as $11.40<$280.
48/?=6
56/?=8
Help me!
3. the answer is 8
6. the answer is 7
Answer:
48/8=6
56/7=8
Step-by-step explanation:
48÷ 8 = 6
56÷ 7 = 8
-5x-/(3x-7)+4(3x-5)-(6x-9)
Answer:
-5x / 9x - 18
Step-by-step explanation:
= - 5x- / ( 3x - 7 ) + 4 ( 3x - 5 ) - ( 6x - 9 )
= applying rule : ( a ) = a
then, ( 3x - 7 ) = 3x - 7
= - 5x- / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )
= applying the fraction rule : -a/b = a/b
= 5x / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )
= -5x / 9x - 8. Answer!
Andrew spent $80 on travel last month.
Work out the amount Andrew spent on household bills last month.
Will give brainliest
can some pls help me ☹?
Answer:
????????????????
Step-by-step explanation:
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What is the domain of the function?
Enter your answer in the box.
demos.
Answer: the x or the input of a function
Step-by-step explanation:
15×15×2+10-1=?
HELP!!! answering is worth 69 (hehe nice) points, will mark brainiest if you can make me laugh in the while of answering the question :)
Answer:
459
Step-by-step explanation:
15×15×2+10-1
15×15= 225 × 2 +10 - 1
225 × 2= 450 + 10 -1
450 + 10 = 460 - 1
460 - 1 = 459
A little true story:
A five your old boy (little boy blue( was out with is siblings when he fell over a bridge and passed away. Now at the very same river he passed all you have to do is go up there turn off your lights and put baby powder all over you car and sit and wait. Soon enough you will see a little blue light and than little hand prints on your car.
Math help please
Thanks
A lot
Answer:
2 hours: 3968 [I don't understand the $ sign in the answer box]
At midnight: 12137
Step-by-step explanation:
The bacteria are increasing by 15% every hour. So for every hour we will have what we started with, plus 15% more.
The "15% more" can be represented mathematically with (1 + 0.15) or 1.15. Let's call this the "growth factor" and assign it the variable b. b is (1 + percent increase).
Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450
At the end of the second hour we're increased by 15% again:
(3450)*(1.15) = 3968.
Each additional hour add another (1.15) factor, If we assign a to be the starting population, this can be represented by:
P = a(1.15)^t for this sample that increase 15% per hour. t is time, in hours.
If a represents the growth factor, and P is the total population, the general expression is
P = ab^t
Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM. That is a 10 hour period, so t = 10
P = (3000)*(1.15)^10
P = 12137
38 degrees 2x degrees +6 degrees
Prove the triangles are similar.
Answer:
SAS similarity
Step-by-step explanation:
The two triangles MON and MQP are such that
Angle M = Angle M
MO/MQ = MN/MP
Therefore, Triangle MON ~ Triangle MQP (SAS similarity)
How here we get 2 x 22 x 10
And how we multiply the formula of pi with any number
Answer:
The formula of pi is approximately 3.14 2×3.14
The points (4, 10) and (1,4) fall on a particular line. What is its equation in
slope-intercept form?
Answer:
Slope of the line (m): 2.0
Y-intercept of the line (b): 2.0
Slope Intercept Form (y = mx + b): y = 2x + 2
Step-by-step explanation:
Slope intercept calculator lol
D. A car was sold for
$26,350. Its value decreases
by 17% each year.
a) Find an explicit formula
for cost of the car Cn after
the nth year.
b) What is the car's value
after 8 years?
c) After 3 years, how much
has the car's value
decreased?
a. The explicit formula for the cost of the car in the nth year is $26,350(0.83^n) .
b. The car's value after 8 years is $5,934.79.
c. The decrease in the value of the car is $11,283.41.
The formula that can be used to determine the value of the car with a decline in value is:
FV = P (1 - r)^n
FV = Future value of the car
P = cost of the car
R =rate of deprecation
N = number of years
Cost of the car after n years = $26,350 x (1 - 0.17)^n
$26,350(0.83^n)
Car's value after 8 years = $26,350 x (1 - 0.17)^8
$26,350(0.83^8) = $5,934.79
Decrease in the value of the car after 3 years= cost of the car - value of the car in 3 years
Value of the car in 3 years = $26,350 x (1 - 0.17)^3 = $15,066.59
$26,350 - $15,066.59 = $11,283.41
To learn more about future value, please check: https://brainly.com/question/18760477
The graph of the function, fx) = -2x + 6x-3, opens blank
and has a blank
value.
The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
The function is given as:
[tex]f(x) = -2x^2 +6x - 3[/tex]
See attachment for the graph of function f(x).
From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.
Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.
Read more about quadratic functions at:
https://brainly.com/question/11631534
Let g(x) = root of 4x and f(x) = 3x^3 + 8x^2 , what is the expression of the compound h(x) = g(f(x)) ?
h(x) = g(f(x))
Take f(x) and plug it into g(x).
g(f(x)) = sqrt{4x}
g(f(x)) = sqrt{4(3x^3 + 8x^2)}
g(f(x)) = sqrt{12x^3 + 32x^2}
We are done.
Answer:
h(x) = sqrt{12x^3 + 32x^2}
The composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Composite functions
Given the following fnctions
[tex]f(x) = 3x^3 + 8x^2\\g(x) = \sqrt{4x}[/tex]
The composite function g(f(x)) is expressed as:
[tex]g(f(x)) =g(3x^3 + 8x^2)\\g(f(x) )=\sqrt{4(3x^3 + 8x^2)} \\g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Hence the composite function as shown is [tex]g(f(x)) =\sqrt{12x^3+32x^2}[/tex]
Learn more on composite function here: https://brainly.com/question/10687170
Find the area of a regular hexagon with side length of 2 m. Round your answer to the nearest tenth.
Answer:
12
Step-by-step explanation:
A regular hexagon has 6 equal sides
2 times 6 = 12
Answer:
10.4m²
Step-by-step explanation:
A≈10.39m²
A=33
2a2=3·3
2·22≈10.3923m²
= 10.4m²
90 is 150 of what number HELP
If all three angles of a triangle are congruent, what is each angle measure?
Answer:
60°
Step-by-step explanation:
180° in a triangle.
180° ÷ 3 = 60°
The measure of each of the given angles of a triangle is 60°.
What are congruent triangles?If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.Given is that all three angles of a triangle are congruent.
Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -
∠A = ∠B = ∠C = X°
and also we can write -
X° + X° + X° = 180°
3X° = 180°
X° = 60°
Therefore, the measure of each of the given angles of a triangle is 60°.
To solve more questions on congruent triangles, visit the link below -
https://brainly.com/question/22062407
#SPJ2
could some one answer this
Answer:
12
Step-by-step explanation:
So she went there 4 times. Each time, she pays for the salad itself (we don't know how much) and she also leaves a 1,50 dollar tip. All together, she paid 54 dollars.
-> TIPS: 4x 1,50= 6 (dollars)
-> SALADS: 54 (total amount she paid) - 6 (tips) = 48 (all the 4 salads she bourght)
-> 1 SALAD: 48/4=12
-----------linear equation:-------------
54 = 4 x 1,5 + 4 x c
54 = 6 + 4c
48 = 4c
12 = c
Compare: The graphs below show the number of points you earn in each level of a game. Which games, if any, have a proportional relationship between the number of points you earn and the level of 7the game? In which game can you earn the most points in level 2? Explain your answer.
Answer:
Ok A and C are both proportional because it goes through the origin.
Step-by-step explanation:
If the line doesn't start or go through the origin will not be proportional. So If the line went through or started from the origin will be proportional. Which leaves B as Non-proportional graph.
Write an equation of the line that passes through (7,10) and is perpendicular to the line y=1/2x−9.
y = -2x + 24
hope this is helpful!
Answer:
y+2x=24
Step-by-step explanation:
the equation of the line: y=1/2x -9
Get the slope by using derivative:
dy/dx= 1/2
dy/dx= slope of the normal line
Since we are looking for slope of the tangent line:
Use Mn=-1/Mt
The slope of the tangent line is -2
Using point slope form:
(y-y1)=m(x-x1) ; where x1=7, y1=10, and m=-2
y-10=-2(x-7)
y-10=-2x+14
ANSWER: y+2x=24
Determine if triangles with the following side lengths are possible.
A: 5 8 4
B: 3, 6, ,2
C: 7, 5, 4,
Answer:
a is possible
b is not possible
c is possible
: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea.
For every 5 minutes of jogging, I ran 500 yards
To Find : Use ratio language to describe the relationship of any two things
Determine the unit rate
Solution:
every 5 minutes of jogging, I ran 500 yards
=> 500/5 = 100 yards/ minute
For every 20 minutes , I can type 1000 words in
unit rate = 1000/20 = 50 words per minute
For every 1 hr (60 minutes) I can solve 10 Questions
unit rate = 10/60 = 1/6 Question per minute
For every 10 minutes , i can read 5 pages
unit rate = 5/10 = 1/2 pages per minute
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