Answer:
The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
25% of the approximately 1000 issues reported per month that require more than one call.
This means that [tex]p = 0.25[/tex]
What are the mean and standard deviation of the sampling distribution of p?
Sample of 40 means that [tex]n = 40[/tex].
By the Central Limit Theorem,
The mean is [tex]\mu = p = 0.25[/tex]
The standard deviation is [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.25*0.75}{40}} = 0.0685[/tex]
The mean of the sampling distribution of p is 0.25 and the standard deviation is 0.0685.
What is the equation of the line that passes through the point (−1,−1) and has a slope of −6?
Answer: y= -6x -7
Step-by-step explanation:
Point slope formula : y-y1=m(x-x1)
y- (-1)=-6(x- (-1))
y+1= -6(x+1)
y+1= -6x-6
y+1-1=-6x-6-1
y=-6x-7
Standard from 6x+y=7
One shade of purple paint is made by mixing 2 pints of red and 5 pints of blue paint. Charley has 20 pints of blue paint. How many pints of red paint does he need to make the purple paint?
Answer:
8 pints
Step-by-step explanation:
ollie is making salad dressing.He mixes 1 part vinegar to 2 parts oil.Ollie makes 450mls of salad dressing.how much oul does he use
Answer:
let one part =x
part of vinegar= x
part of oil =2x
part of oil +part of vinegar = 450ml
2x+x=450
3x=450
x=450/3
x=150
part of vinegar=150ml
part of oil= 300ml
The amount of oil used by Ollie is 300ml.
What is linear equation in one variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
Suppose the vinegar is x ml.
So, the oil is 2x ml.
Ollie makes 450mls of salad dressing.
⇒ 2x + x = 450
Solve the above linear equation for x.
⇒ 3x = 450
⇒ x = 150ml
Therefore, amount of oil she used = 2 × 150ml = 300ml.
Hence, the amount of oil used by Ollie is 300ml.
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Identify the number as real, complex, pure imaginary, or nonreal complex. 6 + i
Answer:
Imaginary I think
Step-by-step explanation:
Graph identify the solution. y =-3/5x-3. y=3
Answer:
X= -10
Step-by-step explanation:
Ric, Jeff, and Mark decided to invest $10,000 each in a cryptocurrency. When they decided to cash in their investment, they had accumulated quite a bit of money. Jeff gave
Ric and Mark 33% each.
Why were they unhappy?
Answer:
Step-by-step explanation:
Let the total value be T. If he gave them 33% each, they received
.33T each.
Jeff on the other hand still has T(1-.33-.33)=.34T, so Jeff has more than the others.
classify the triangle by its sides, and then by its angles
Answer:
equilateral, acute
Step-by-step explanation:
Answer:
Scalene, Acute
Step-by-step explanation:
It is scalene because it has all 3 different side lengths, and its acute because every angle is acute
Find the cardinal number of 200, 201,202,203,...,1099
Answer:
there is a thing called you can use that
Step-by-step explanation:
What is the solution to the equation Sqrt 2x+6-Sqrt x+4 = 1?
Answer:
its 5
Step-by-step explanation:
Find the average rage of change of each of the following functions over the interval 1 < × < 5.
Find xif 4; 4+2×;4+4× are in Geometric sequences
Given:
[tex]4,4+2x,4+4x[/tex] are in geometric sequences.
To find:
The value of x.
Solution:
If a, b, c are in geometric sequences, then
[tex]\dfrac{b}{a}=\dfrac{c}{b}[/tex]
[tex]b^2=ac[/tex] ...(i)
It is given that [tex]4,4+2x,4+4x[/tex] are in geometric sequences. By using (i), we get
[tex](4+2x)^2=(4)(4+4x)[/tex]
[tex]4^2+2(4)(2x)+(2x)^2=(4)(4)+4(4x)[/tex]
[tex]16+16x+4x^2=16+16x[/tex]
[tex]4x^2=16+16x-16-16x[/tex]
On further simplification, we get
[tex]4x^2=0[/tex]
[tex]x^2=0[/tex]
[tex]x=0[/tex]
Therefore, the value of x is 0.
Five times a number is 65. What is the number?
13
60
70
325
Answer:
13
Step-by-step explanation:
13*5=65
Answer:
13
Step-by-step explanation:
the other ones if you multiplyed they would go over the number
Everyone thought that Martha Mathy was trying to start a new fashion trend when she started wearing socks that did not match. her "look" started to catch on, and pretty soon all the kids at her school were wearing mixed-up socks, too. Rita Writer, a reporter for the school paper, interviewed Martha about the new sock trend. " Wat gave you the idea to wear mismatched socks?" Rita Asked.
"Its simple mathematics," Martha replied. "you see, I have 18 socks at home but no two are the same. with just these 18 socks, I can create over 100 unique pairs of mismatched socks." Rita found this hard to believe, so she checked it out. Was Martha correct?
Answer:
There are 153 combinations
Combinations - any two from eighteen is given by the formula 18C2 or 18! / (2!*16!)
= 18 * 17 / 2 = 153
OK that is the maths - now the explanation
The first sock can be any of 18
The second sock can be any of 17 (one already been selected and they must be mismatched)
Therefore there are 18*17 = 306 permutations she could make
However the question asks for "combinations" not "permutations"
A green sock on the right foot and a yellow sock on the left foot is deemed to be a different "permutation" to a yellow sock on the right foot and a green sock on the left foot. HOWEVER, they are regarded as the same "combination" in both cases you have one green and one yellow sock.
Therefore for combinations we must divide the 306 permutations calculated above by 2 = 153
FYI Walton has incorrectly given you the value of 18!. That would only apply if Martha Mathy had 18 feet!
Lewis wants to play several games of paintball with his friends. At the park, it costs $10.90 for admission and paintballs, and $6.18 for each game he plays. Which of the following equations could be used to determine Lewis's total cost for several games of paintball? (Let x represent the number of games Lewis plays and y represent his total cost.) A. y = $10.90x + $6.18 B. y = $6.18x C. y = $6.18x + $10.90 D. $10.90y = $6.18x
Answer:
C. y= 6.18x + 10.9
Step-by-step explanation:
Every game that he plays (x) costs 6.18, for example, if he plays 3 games it would be 6.18 times 3 (games)
Now you have to add your admission, 10.9
To enter he needs to pay the admission ( 10.9 ) and also each game ( x ) he plays ( 6.18 )
What does this violin thing mean (circled it)
That means a down bow, it means you move your hand away from the violin, away/down :D Hope it helped!
a student earned 44 out of 50 points on the last test. what percent correct did the student earn
Answer:
88%
Step-by-step explanation:
44/50 = 88/100 = 88%
88% is the answer ❤️❤️❤️❤️
I need help in this, the parallel lines
what is 6 divided by 2
Answer:
the answer is 3
Step-by-step explanation:
that is the answer
Companies use employee training for various reasons, including employee loyalty, certification, quality, and process improvement. In a national survey of companies, BI Learning Systems reported that 56% of the responding companies named employee retention as a top reason for training. Suppose 38% of the companies replied that they use training for process improvement and for employee retention. In addition, suppose that of the companies that use training for process improvement, 89% use training for employee retention. A company that uses training is randomly selected. a. What is the probability that the company uses training for employee retention and not for process improvement
Answer:
0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement
Step-by-step explanation:
56% employee retention.
38% for process improvement. Of those, 89% for employee retention.
a. What is the probability that the company uses training for employee retention and not for process improvement
The 56% is composed by:
x of 100 - 38 = 72%(not for process improvement)
89% of 38%(for process improvement).
We want to find x. So
[tex]0.72x + 0.89*0.38 = 0.56[/tex]
[tex]0.72x = 0.56 - 0.89*0.38[/tex]
[tex]x = \frac{0.56 - 0.89*0.38}{0.72}[/tex]
[tex]x = 0.3081[/tex]
0.3081 = 30.81% probability that the company uses training for employee retention and not for process improvement
completely the equation 2(x+5)=11
In ΔEFG, the measure of ∠G=90°, FG = 4.8 feet, and GE = 3.5 feet. Find the measure of ∠F to the nearest degree.
Answer:
36
Step-by-step explanation:
What function uses the ADJACENT and the OPPOSITE?
\text{SOH-CAH-TOA}
SOH-CAH-TOA
\tan F = \frac{\text{opposite}}{\text{adjacent}}=\frac{3.5}{4.8}
tanF=
adjacent
opposite
=
4.8
3.5
\tan F = \frac{3.5}{4.8}
tanF=
4.8
3.5
F=\tan^{-1}(\frac{3.5}{4.8})
F=tan
−1
(
4.8
3.5
)
F=36.098\approx 36^{\circ}
F=36.098≈36
∘
Answer:
36
Step-by-step explanation:
5. One side of a triangle has length 12.
2. How long is the segment that joins the midpoints of the other two sides?
b. How long would the segment joining the midpoints be if the side of the
triangle had length 10? Length 18? Length 19?
Expand 6(3x-5)
I know it looks easy but I can't
Answer:
18x - 30
Step-by-step explanation:
in order to expand the expression, you need to use the distributive property to simplify 6(3x - 5).
first, distribute 6 to 3x, which is just 6 • 3x.
6 • 3x = 18xnow distribute 6 to -5, which is just 6 • -5.
6 • -5 = -30therefore, 6(3x - 5) expanded is 18x - 30 :) i hope this helps!! have a lovely rest of your day <3
The price on the price sheet of a new car contains the bottom line what is another name for this cost?
Answer:
C. MSRP
Step-by-step explanation:
Commonly called the sticker price because it’s the bottom line figure in a cars window sticker, is the base price plus any options
There are different kinds of terms. Another name that can be used for the cost above is Sticker Price.
What is the sticker price?The sticker price is also known or called the total MSRP. It is often said to be sticker price due to the fact that it is the conclusive ( bottom line ) figure found on a car's window sticker.
Tis also known as the base price with the addition of any other options, option-package discounts, etc. A person can purchase a vehicle for less than the amount of the sticker price.
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I need help! It’s angles !
Answer:
Angle 1= 106° and Angle 2=74°
Step-by-step explanation:
Angle 2 is 74° because lines a and b are parallel, and since there is a transversal, the 74° angle and angle 2 are corresponding angles.
Angles 1 and angle 2 are supplementary, so you would just do 180° - 74° and you get 106°
Area of an square is 144^2 how big is the circumstance of the square
Answer:
576
Step-by-step explanation:
That's your answer.
A sum amount
to rupees 34476 in two and a half years at 4% CI. the sum is
Given:
Amount = Rs. 34476
Rate of compound interest = 4%
Time = [tex]2\dfrac{1}{2}=2.5[/tex] years
To find:
The principal value.
Solution:
Formula for amount is
[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]
Where, P is principal value, r is rate of interest and t is time in years.
Putting the given values, we get
[tex]34476=P\left(1+\dfrac{4}{100}\right)^{2.5}[/tex]
[tex]34476=P\left(1+0.04\right)^{2.5}[/tex]
[tex]34476=P\left(1.04\right)^{2.5}[/tex]
[tex]\dfrac{34476}{\left(1.04\right)^{2.5}}=P[/tex]
Now,
[tex]P=31256.0090[/tex]
[tex]P\approx 31256[/tex]
Therefore, the value of sum or principal value is Rs.31256.
please help me the first person gets the brainiest
One axis is used for kilograms, the other for pounds. When the x-axis is kilograms, the line includes points (1, 2.2), (2, 4.4), and (3, 6.6). The graph is a straight line that passes through the origin. The line is straight because unit conversions are proportional.
Distance between points A-B
A= (-1, 1)
B= (3, 1)
Answer:
1,1-3,1=2
so I think 2,0
How do you find probability
Answer:
Determine a single event with a single outcome. ...
Identify the total number of outcomes that can occur. ...
Divide the number of events by the number of possible outcomes. ...
Determine each event you will calculate. ...
Calculate the probability of each event.
Step-by-step explanation:
CAN I PLS HAVE BRAINLIEST