The sample mean of the distribution is an estimate of the population mean
The mean of the sampling distribution of sample means is 51
How to determine the meanThe given information are:
Population mean, μ = 51
Standard deviation, σ = 9
Sample size, n = 36
The sample mean is an estimate of the population mean.
So, we have:
[tex]\bar x = \mu[/tex]
Substitute known values
[tex]\bar x = 51[/tex]
Hence, the mean of the sampling distribution of sample means is 51
Read more about sampling distributions at:
https://brainly.com/question/15713806
What the volume of this figure? Volume = Cubic units
Answer:
Count the cubes, this shape is 7 cm cubed. Each cube is 1 cubic unit.
ПОЖАЛУЙСТА,РЕШИТЕ!!!Решите уравнение:
1) -5/12х=0
2) 5,4(х+6,3)=0
3) (х-3)(х+4)=0
4) 23,5 |х|=0
(6 класс)
Answer:
Step-by-step explanation:
1). [tex]-\frac{5}{12}[/tex] x = 0 ⇒ x = 0
2). 5,4 ( x + 6,3 ) = 0 ⇒ x + 6,3 = 0 ⇒ x = - 6,3
3). ( x - 3 )( x + 4 ) = 0 ⇒ x - 3 = 0 или x + 4 = 0 ⇒ x = 3 или x = - 4
4). 23,5 | x | = 0 ⇒ | x | = 0 ⇒ x = 0
supposed normal distribution has a mean of 89 and a standard deviation of 7. What is P(x≤82)? NO LINKS!!!
a. 0.975
b. 0.84
c. 0.16
d. 0.025
======================================================
Explanation:
Convert the x = 82 to a corresponding z score.
z = (x-mu)/sigma
z = (82 - 89)/7
z = -7/7
z = -1
Using the empirical rule (see chart below), roughly 68% of the distribution is within 1 standard deviation of the mean.
This leaves 1 - 0.68 = 0.32 = 32% of the distribution in both tails, and (32%)/2 = 16% of the area is in one tail, which converts to 0.16
About 16% of the normally distributed population is below z = -1.
So we can say [tex]P(x \le 82) = P(z \le -1) \approx 0.16[/tex]
z value:-
[tex]\\ \rm\Rrightarrow \dfrac{x-\overline{x}}{\sum}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{82-89}{7}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{-7}{7}[/tex]
[tex]\\ \rm\Rrightarrow -1[/tex]
z=-1As per z value chart
Part distributed to z=-1 is 32%/2=16%=0.16Option C is correct
Classify the triangle by its angles.
Answer:
C
Step-by-step explanation:
right angled triangle because it has clearly shown the sign of 90 degree
Please help me ASAP
( I will mark brainliest )
Answer:
A. (−2c − 3d)(−11)
C. [tex](66c+99d)*\frac{1}{3}[/tex]
E. 11(2c + 3d)
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[A] (−2c − 3d)(−11)
[C] (66c+99d)*1/3
[E] 11(2c + 3d)
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
Step-by-step explanation:
To find the answer - Solve each answer choice:
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[A] (-2c-3d)(-11)
Re-order terms so constants are on the left
-11(-2c-3d)
Distribute
22c + 33d
Hence, [A] is True.
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[B] [tex]2(11c-[/tex] [tex]\frac{33}{2}d)[/tex]
Combine multiplied terms into a single fraction
Find common denominator
[tex]2(\frac{2*11c}{2}+\frac{-33d}{2})[/tex]
Multiply the numbers
[tex]2(\frac{22c-33d}{2})[/tex]
Cancel multiplied terms that are in the denominator
22c - 33d
Hence, [B] is false
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[C] [tex](66c+99d)*\frac{1}{3}[/tex]
[tex]Apply\;Rule:a*1=a[/tex]
[tex]\frac{66c+99d}{3}[/tex]
[tex]Factor\;66c+99d:33(2c+3d)[/tex]
[tex]=\frac{33\left(2c+3d\right)}{3}[/tex]
[tex]Divide\;the\;numbers:\frac{33}{3}=11[/tex]
[tex]=11(2c+3d)[/tex]
[tex]Expand;[/tex]
22c+33d
Hence, [c] is True
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[D] -1*(-22-33d)
[tex]Apply \;rule:a*1=a[/tex]
= (22+33d)
Hence, [D] is False
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
[E] 11 * (2c+3d)
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac[/tex]
[tex]11\left(2c+3d\right)=11\cdot \:2c+11\cdot \:3d[/tex]
[tex]=11\cdot \:2c+11\cdot \:3d[/tex]
[tex]Simplify \;=11\cdot \:2c+11\cdot \:3d:22c+33d[/tex]
22c + 33d
Hence, [E] is True
⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻
~[RevyBreeze]
Below is a square with diagonal AC
А
4
D
B
C
Use what you know about special right triangles to determine the distance of the following:
АС
DC -
Hello!
This is an equilateral triangle. In this triangle, the angles are congruent, respectively, the sides. Here, the mediator corresponds to the bisector, the median. So this line will form two right triangles.
Th 30-60-90
I used the 30-60-90 theorem, which says that the opposing the angle of 30 degrees has the length equal to half the hypotenuse.
Th Pitagora's
Which states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
Good luck:)
Part A. Find the domain and range
Part B. Which set of coordinates describes a function?
A.{( 6,3), (4,5), (2,3), (0,5)}
B.{( 4,-3),(-4,-6),(4,3),(-4,6)}
C.{(2,4), (4,8), (6,2)}
D.{(-5,-1), (-3, -3), (-1, -5),(-5,-7)}
Answer:
d. {(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}; Domain: {-2, -1, 0, 1, 2}; Range: {1, 2, 5}
Step-by-step explanation:
Part A:
Domain = the set of all x-values plotted on the x-axis = {-2, -1, 0, 1, 2}
Range = the set of all possible y-values on the y-axis that corresponds with the x-values = {1, 2, 5}
Part B:
The set of coordinates that describes the function on the graph are:
When x = -2, y = 5 => (-2, 5)
When x = -1, y = 2 => (-1, 2)
When x = 0, y = 1 => (0, 1)
When x = 1, y = 2 => (1, 2)
When x = 2, y = 5 => (2, 5)
The set of coordinates is:
{(-2, 5), (-1, 2), (0, 1), (1, 2), (2, 5)}
How can you convert 12/10 into a decimal
Answer:
1.2
Step-by-step explanation:
Monica is mixing some custom-colored paint for her house. The color she wants requires 3∕4 ounce of blue dye and 2∕3 of an ounce of pink dye mixed with each gallon of white paint base. How much dye is needed to mix 8 gallons of paint?
pls help me
Use the tools below to construct a triangle with angle measures of 15°, 15°, and 150°, if possible. If there is no such triangle possible, click on "No triangle possible". Note: It is okay to have extended sides on your triangle. No triangle possible
Step-by-step explanation:
the answer is in the picture
Which equation represents a line which is parallel to y = 0?
A) x = - 4y
B) x = 1/2y
C) x = 6
D) y = -5
Answer:
C.
Step-by-step explanation:
If you graph it, you can see that the lines are parallel.
$4.92 for a dozen apples is a rate of $0.__ per apple.
Answer:
$0.41 per apple.
Step-by-step explanation:
A dozen apples stand for 12. If we want to find the rate, we must divide.
$4.92 ÷ 12 = 0.41.
The rate for a dozen apples that cost $4.92 is $0.41 per apple.
Answer:
$0.41 per apple
what is the next number in 76,69
Answer:
what r u taking tell it in a detail what is you question
Step-by-step explanation:
Paris wants nuts and fruit as a snack. She has a choice of either almonds or pecans.
She can choose either cherries or grapes to complete her snack. Which list shows all
the possible combinations of one type of nut and one type of fruit Paris can choose
from?
A. (Almonds, Cherries), (Almonds, Grapes), (Pecans, Grapes)
B. (Almonds, Grapes), (Pecan, Cherries), (Almond, Cherries)
C. (Almonds, Grapes), (Pecans, Cherries), (Almond, Cherries), (Pecan, Grapes)
D. (Almond, Cherries), (Pecan, Grapes), (Cherries, Grapes), (Almond, Pecans)
Answer:
Step-by-step explanation:
The answer is C.
Almonds
Grapes CherriesPecans
GrapesCherriesThe others have missing combinations.
Complete the recursive formula of the geometric sequence −0.3,0.9,−2.7,8.1,...
Answer:
a n= - 3a_{n-1}a n−1 with a₁ = - 0.3
Step-by-step explanation:
The recursive formula for a geometric sequence is of the form
a_{n}a
n = ra_{n-1}a
n−1
where r is the common ratio
r = \frac{a_{2} }{a_{1} }
a
1
a
2
= \frac{0.9}{-0.3}
−0.3
0.9
= - 3 , thus
a_{n}a
n
= - 3a_{n-1}a
n−1
with a₁ = - 0.3
If there are 3 divers, how many
tanks will they need for a 2 hour
dive? (Divers cannot share tanks.)
Answer:
3
Step-by-step explanation:
with the information given in the question the only answer I can provide is that each diver requires a tank. does the tank have a certain capacity and so on?
True or False.
Does the following set of ordered pairs represent a function?
(3,5), (-2,3), (4,6), (2,3), (1,8)
It takes Sam 3/5 of an hour to clean his room. it takes Mia 2/3 of an hour to clean her room. Who takes longer?
Answer:
Mia takes longer
Step-by-step explanation:
We can do this easily by doing 3 / 5 which is 0.6 for Sam and for Mia 2/3 is 0.666 repeating. 0.666 repeating is greater than 0.6
what is the value of x
Answer: 6
Step-by-step explanation:
Check the picture below.
A 390 m wire is cut into three pieces. The second piece Is 4 times as long as the first. The third plece is 2 times as long as the second. How long is each piece?
Answer:
First piece = 30m , 2nd is 120 m and third piece is 240 m long.
Step-by-step explanation:
Let the length of the first piece be x m.
Then the length of the second piece = 4x m.
The third piece = 2 * 4x = 8x m.
So x + 4x + 8x = 390
13x = 390
x = 30 m
So 2nd piece = 4*30 and third is 8*30 m.
If cookies sell for $1 and oranges for 75 cents, how many of each were sold for a total of $8.25?
Answer:
To make total 8.25 we need to take number of oranges in such a way that they always make . 25 in total. Only then we can get 8.25 as total because cookies will always give integers.
Step-by-step explanation:
What is 10+3a pls help me pass
sally and 3 friends went to the movies. the tickets together cost $35.00 and each ticket was the same price. which equation represents the total cost.
Answer:
8.75×4=$35.00
Step-by-step explanation:
sally=1 person so...
1+3=4
$35.00÷4=8.75
8.75×4=$35.00
Please help me solve this, I will give you brainliest
Answer: 25
spongbob said so
please help me with this I need help.
Answer:
I can not see the whole picture, otherwise I could maybe help you.
Answer:
y-5 = 3/4(x-6)
Step-by-step explanation:
point slope formula is y - y₁ = m(x - x₁) where m=slope and (x₁ ,y₁) is a point on the line.
First find the slope. From the graph we have pts A and B.
A= (-2,-1) and B is (6,5)
m= y-y₁/x-x₁ m= (5-(-1)/(6-(-2))
m= 6/8 = 3/4
Using point B for x₁ and y₁
y-5 = 3/4(x-6)
What are the correct ratios
Answer:
1:3
1:2
Step-by-step explanation:
hope this helps
Help please say yes or no
Answer:
yes oo that's what I'm thinking
1) State the slope and y-intercept of: y = 2x - 4*
Your answer
Answer:
slope=2 y-intercept=4
Faith was working admissions to the basketball game is $5 for students (x) and $7
for adults (y). If the faith made $500 dollars at the game on ticket sales, write an
equation that represents this scenario.*
Answer: 5x+7y=500
Step-by-step explanation:
I NEED HELP NOW!!!!
Which statements can be used to write an algebraic expression to represent the phrase?
the product of a number and eighteen
Check all that apply.
1.Replace “a number” with a variable.
2.Product represents addition.
3.Product represents multiplication.
4.The coefficient is 18.
5.The correct algebraic expression is 18t.
6.18 is a variable.
7.The correct algebraic expression is StartFraction t Over 18 EndFraction.
Answer:
1,3,4,5
Step-by-step explanation:
I hope this helps!