Answer:
The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).
Step-by-step explanation:
What is the measure of the smallest interior angle of the hexagon shown?
=========================================================
Explanation:
We have n = 6 sides, so the interior angles must add to 180(n-2) = 180(6-2) = 720 degrees
Lets add up the angles, set the sum equal to 720 and solve for x
x+2x+115+2x+115+2x = 720
7x+230 = 720
7x = 720-230
7x = 490
x = 490/7
x = 70
This makes angle 2x = 2*70 = 140 degrees
We see that x = 70 is the smallest angle, so that's why C is the answer.
Evaluate the expression when a=-4 and x=5.
a- 1- 2x
help pls
Answer:
-15
Step-by-step explanation:
So it's a-1-2x.
rewrite as -4-1-(2*5)
-4-1-10
-4+-1-10
-5+-10
-15
Answer:
- 15
Step-by-step explanation:
a = -4 and x = 5. ( given )a - 1 - 2 x
- 4 - 1 - 2 ( 5 )
- 5 - 10
- 1 5
Three more than the product of six and a number, increased by nine in the simplest form
Answer: 12+6x
Step-by-step explanation:
three more means addition +3
the product of 6 and a number means multiplying 6 by a variable 6x
increased by 9 means addition +9
put it together and we have 3+6x+9
now we combine like terms
3+9+6x
12+6x
Find the inverse of the following function. Then prove they are inverses of one another.
f (x)= root 2x-1.
Answer: [tex]\dfrac{x^2+1}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x)=\sqrt{2x-1}[/tex]
We can write it as
[tex]\Rightarrow y=\sqrt{2x-1}[/tex]
Express x in terms of y
[tex]\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}[/tex]
Replace y be x to get the inverse
[tex]\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}[/tex]
To prove, it is inverse of f(x). [tex]f(f^{-1}(x))=x[/tex]
[tex]\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x[/tex]
So, they are inverse of each other.
Two-thirds of a number is nineteen.
Answer:
28.5
Step-by-step explanation:
X*2/3=19, X=19/(2/3)=57/2=28.5
Answer:
The number is 28.5
Step-by-step explanation:
Let the number be x
Two - third of the number is 19 means
[tex]\frac{2}{3} \ of \ x = 19[/tex]
Solve for x
[tex]\frac{2}{3} \times x = 19\\\\2 \times x = 19 \times 3\\\\x = \frac{19 \times 3}{2} = 28.5[/tex]
What is the measure of ABC?
O A. 130°
B. 260°
с
50"
C. 1000
D. 3100
SUBMIT
Answer:100 degrees
Step-by-step explanation: Multiply 50 by two by in inscribed angle therom.
ABC is 100
What is central angle of an arc?The central angle that creates the intercepted arc's central angle, or the arc measure, is expressed in degrees. Arc length can be estimated as a percentage of the circle's circumference by multiplying the circle's diameter by the arc length, divided by 360.
θ = arc* 2
θ = 50*2 = 100
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This diagram represents 3 batches of light yellow paint. Select a ratio that represents 1 batch of the same shade of light yellow paint. (look at screen shot for full question)
Answer:
3 white to 5 yellow
the third choice
Step-by-step explanation:
white 9 parts
yellow 15 parts
9 white to 15 yellow
Divide by 3
3 white to 5 yellow
PLEASE HELP ASAP!!!
WILL MARRK BRAINLIEST
Answer:
D
Step-by-step explanation:
Have a nice day :)
Alex wants to arrange chairs in such a way that the number of chairs in a row is equal to the number of the columns.He has ordered 5100 tables.
a)How many more tables needed to arrange in such a way that he planned? Justify your answer
b)How many chairs can he remove to arrange in a way that he wants? Justify your answer.
Answer:
84
59
Step-by-step explanation:
In other to have the same number of chayes in both rows and columns ;
If the Number of chairs per row = x ; then number of chairs per column = x
Then the total number of chairs needed = x * x = x²
Hence, if there are 5100 chairs ;
Number of chairs needed more ;
Take the square root of 5100 ;the round to the next whole number :
B.) For number of chairs to be removed ;
Take the square root of 5100 and round down to the whole number.
Hence,
A.) = √5100 = 71.414 = 72
72² - 5100 = 84
B.) 5100 = 71.414 = 71
5100 - 71² =
Anna needed to let everyone in the music club know the time of its next meeting. She called two people and asked each of them to call two other people, and so on. if it takes one minute to call two people, how many phone calls were made during the fifth minute?
Answer:
62
Step-by-step explanation:
In one minute Anna called 2 people
the next minute the 2 people each called 2 people making it 4 so I'll draw something like a branch chain to calculate so it will look like the fig above
I'm not too sure but I tried my best.
Joseph invested $16,000 in an account paying an interest rate of 5.7% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest cent, wbuld be in the account after 14 years?
Answer: 34767.2
Step-by-step explanation:
given p = $16,000, n = 14 years, y = 5.7%
amount in bank after 14 years = p ( 1 + </100)
= 16,000 (1 + 5.7/ 100) 14
= 34767.2
Answer:
$35537.51Step-by-step explanation:
Required formula:
P(t) = P₀[tex]e^{rt}[/tex]Substitute values and solve:
P(14) = 16000[tex]e^{0.057*14}[/tex]P(14) = 35537.51FIND X
-------------------------------------------------------------------------------------------------
9514 1404 393
Answer:
x = (10√3)/3 ≈ 5.7735 m
Step-by-step explanation:
The 30°-60°-90° right triangle is one of the "special" right triangles, so you know its side ratios are ...
BC : AB : AC = 1 : √3 : 2
Then ...
x = BC = AB/√3 = (10 m)/√3 = (10√3)/3 m ≈ 5.7735 m
Can anyone help !! Please
Answer:
the first question is x=68/3 in standard from it is 3x=68
the second question is x= - 11/10
Step-by-step explanation:
for the second question the negative is beside the fraction.
The cholesterol levels of a random sample of 250 men are measured. The sample mean is 182 and the sample standard deviation is 32.
a. Give the value of the point estimate of the mean cholesterol level for men in interval notation.
b. Give the value of the standard error of the mean cholesterol level for men.
c. Give the value of the margin of error of the mean cholesterol level for men for a 95% confidence interval.
d. Give the value of the point estimate of the mean cholesterol level for men in interval notation.
Answer:
182
2.0239
3.97
(178, 186)
Step-by-step explanation:
Given :
Sample mean, n = 250
Sample mean, xbar = 182
Sample standard deviation, s = 32
Point estimate for the mean ;
According to the central limit theorem ; for n > 30, the sample mean equal to the population mean.
Hence, point estimate of mean cholesterol level for men is 182
B.) The standard error = s/√n
s= 32 ; n = 250
Standard error = 32/√250 = 2.0239
C.) Margin of error :
TCritical * standard error
TCritical at 95% ; df =250 -1 = 249 = 1.96
1.969 * 2.0239 = 3.966 = 3.97
D.) The confidence interval :
Point estimate ± margin of error
182 ± 3.97
182 - 3.97 = 178.03
182 + 3.97 = 185.97
(178, 186)
graph y > 1 - 3x whats the answer please
Answer:
see graph
Step-by-step explanation:
Consider the expression (5 – 81) V-81 + 5.
Step-by-step explanation:
here is your answer
here is your answer
If v = 35 , a = 4 , t = 5 and v = u + a t , evaluate u .
v = u + at
=> 35 = u + (4×5)
=> 35 = u + 20
=> 35 - 20 = u
=> 15 = u
Step-by-step explanation:
v = u + a t
35=u+ 4(5)
35-20=u
u=15
园
Give a common multiple of 5
and 10 between 1 and 75.
5 10 15 20 25 30 35 40 45 50 55 60 65 70 75
Find each missing length to the nearest tenth.
9514 1404 393
Answer:
6.7
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
x^2 = 6^2 +3^2 = 45
x = √45 ≈ 6.7
The missing side length is about 6.7 units.
Answer:
The missing side length s 6.7 units.
Step-by-step explanation:
hope it helps
solve for x in parts below:
Answer:
x=30°
Step-by-step explanation:
50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)
x=80-50
x=30 degree
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.
a) Calculate a 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation.
b) Give the value of the point estimate described in this scenario.
c) Give the value of the standard error for the point estimate.
d) Give the value of the margin of error if you were to calculate a 99% confidence interval.
Answer:
a) The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).
b) 0.81
c) 0.039.
d) 0.101
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.
This means that [tex]n = 100, \pi = \frac{81}{100} = 0.81[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 - 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.709[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 + 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.911[/tex]
The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).
b) Give the value of the point estimate described in this scenario.
Sample proportion of [tex]\pi = 0.81[/tex]
c) Give the value of the standard error for the point estimate.
This is:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.81*0.19}{100}} = 0.039[/tex]
The standard error is of 0.039.
d) Give the value of the margin of error if you were to calculate a 99% confidence interval.
This is:
[tex]M = zs = 2.575*0.039 = 0.101[/tex]
change the following into mixed fraction 13/5
Answer:
2 3/5
Step-by-step explanation:
13/5
5 goes into 13 2 time
2*5 =10
13-10 =3
There is 3 left over. This goes over the denominator
2 3/5
2 3/5
Step-by-step explanation:
13/5
5*2=10
reminder=3
divisor = 5
3. Evaluate the expression. If k = 3 and h = 2. (Be sure to show each step)
4k+2(5k-2)-h
Answer:
36
Step-by-step explanation:
Simple:
(4)(3)+2((5)(3)−2)−2
=12+2((5)(3)−2)−2
=12+2(15−2)−2
=12+(2)(13)−2
=12+26−2
=38−2
=36
∠A and angle∠B are vertical angles. If angle ∠A=(3x−8) and angle ∠B=(4x−17) then find the value of x.
9514 1404 393
Answer:
x = 9
Step-by-step explanation:
Vertical angles are congruent, so ...
∠B = ∠A
4x -17 = 3x -8
x = 9 . . . . . . . . . . . add 17-3x to both sides
x = 9
Step-by-step explanation:
In the question we have given that ∠A and angle∠B are vertical angles. And the value of angle ∠A = ( 3 x - 8 ) and angle ∠B = ( 4 x - 17 ).
Finding the value of x∠B = ∠A. (Both are vertical angle so, both are equal to each other).
Substitute the values
4 x - 17 = 3 x - 8
Add 17 - 3 x to each side
4 x - 17 + 17 - 3 x = 3 x - 8 + 17 - 3 x
combine like terms
4 x + 0 - 3 x = 3 x - 3 x - 8 + 17
x = 0 + 9
x = 9
Which product is positive?
(1) (1943)-3)
(13)04-1)-4)
O
5
3
Answer:
El 5 y el 3
Step-by-step explanation:
La primera y la segunda saldrá un negativo ya que hay un negativo y con eso nunca saldrá positivo.
La tercera es 0, no es positivo ni negativo
La cuarta y quinta es positivo
Simplify the expression.
56 ÷ (–7)
–8
8
392
–392
Answer:
- 8
Step-by-step explanation:
56 ÷ (- 7)
56 ÷ - 7
- 8
Answer:
-8
Step-by-step explanation:
A positive number divided by a negative one results in a negative quotient.
Thus, 56 ÷ (–7) = -8
If the total surface area of hemispher is 7392 square cm. Them find its radius.
Answer: The radius of the hemisphere is (R) = 28 cm
Select the correct answer.
The parent function f(x)= 3/x
is transformed to g(x) = f(x + 2) - 4. Which is the graph of g?
The required value of function g is (-4x - 5)/(x+2) and graph is shown below.
What is parent function?The parent function of a function is the simplest form of the function, which satisfies all the conditions of the given function.
Given that,
Parent function f(x) = 3/x,
And function g(x) = f(x + 2) - 4.
To find the graph of function g(x), first determine the value of function g(x),
Substitute x = x+2 in function f(x), to determine g(x),
g(x) = 3/(x+2) -4
= 3-4(x+2)/x+2
= 3 - 4x - 8/(x + 2)
= (-4x - 5)/(x+2)
The required function g(x) is (-4x - 5)/(x+2) .
The graph of function g(x) is shown below.
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Is there alternative way in solving a arithmetic sequence? yes or no? explain.
Answer:
Yes there is alternative way in solving and arithmetic sequence .An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
Find value of x? And show work
Answer:
70
Step-by-step explanation:
X is equal to 70 degrees because angle x and the angle that is 70 degrees are alternate interior angles.
These are alternate interior angles. If two angles are alternate interior angles they are congruent. That means x is also 70 degrees.
