Answer:
7 seconds
Step-by-step explanation:
1820/260=7.
Answer:
7m/sec
Step-by-step explanation:
the amount people pay for cable service varies quite a bit but the mean monthly fee is $142 and the standard deviation is $29. the distribution is not normal many people pay about $76 for basic cable and about $160 for premium service but some pay much more. a sample survey is designed to ask a simple random sample of 1,500 cable service customers how much they pay. let x hat be the mean amount paid.
Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.
Part b: what is the shape of the sampling distribution of x hat justify your answer.
Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143? show your work.
Answer:
a) By the Central Limit Theorem, the mean is $142 and the standard deviation is $0.7488.
b) By the Central Limit Theorem, approximately normal.
c) 0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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.
The mean monthly fee is $142 and the standard deviation is $29.
This means that [tex]\mu = 142, \sigma = 29[/tex]
Part a: what are the mean an standard deviation of the sample distribution of x hat show your work and justify your reasoning.
Sample of 1500(larger than 30).
By the Central Limit Theorem
The mean is $142
The standard deviation is [tex]s = \frac{29}{\sqrt{1500}} = 0.7488[/tex]
Part b: what is the shape of the sampling distribution of x hat justify your answer.
By the Central Limit Theorem, approximately normal.
Part C: what is the probability that the average cable service paid by the sample of cable service customers will exceed $143?
This is 1 subtracted by the pvalue of Z when X = 143. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{143 - 142}{0.7488}[/tex]
[tex]Z = 1.34[/tex]
[tex]Z = 1.34[/tex] has a pvalue of 0.9099
1 - 0.9099 = 0.0901
0.0901 = 9.01% probability that the average cable service paid by the sample of cable service customers will exceed $143
Find the number of groups and the number left over of 11÷3
[8-(-12)]÷(2x-2)-(-8)
Answer:
3
Step-by-step explanation:
Question 2 (1 point)
(07.01)
Solve 3x−5 = 9. (1 point)
a
x = −3
b
x = 2
c
x = 7
d
x = 8
Answer:
All options are wrong.................
For which equations is 8 a solution? Select the four correct answers.
x + 6 = 2
x + 2 = 10
x minus 4 = 4
x minus 2 = 10
2 x = 4
3 x = 24
StartFraction x Over 2 EndFraction = 16
StartFraction x Over 8 EndFraction = 1
Answer:
The answers include
x + 2 =10
x - 4 = 4
3x = 24
Start Fraction x Over 8 End Fraction = 1
Step-by-step explanation:
x + 2 = 10; 8 + 2 = 10
x - 4 = 4; 8 - 4 = 4
3x = 24; 3(8) = 24
Start Fraction x Over 8 End Fraction = 1; 8/8 = 1
Equations with solution x = 8 are
x + 2 = 10,
x minus 4 = 4,
3x = 24,
Start Fraction x Over 8 End Fraction = 1
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given equations
x + 6 = 2
⇒ x = 2-6
⇒ x = -4
x + 2 = 10
⇒ x = 10 - 2
⇒ x = 8
x minus 4 = 4
x - 4 = 4
⇒ x = 4 + 4
⇒ x = 8
x minus 2 = 10
x -2 = 10
⇒ x = 10+2
⇒ x = 12
2x = 4
⇒ x = 4/2
⇒ x = 2
3x = 24
⇒ x = 24/3
⇒ x = 8
Start Fraction x Over 2 End Fraction = 16
x/2 = 16
⇒ x = 2(16)
⇒ x = 32
Start Fraction x Over 8 End Fraction = 1
x/8 = 1
⇒ x = 8(1)
⇒ x = 8
Hence, equations
x + 2 = 10,
x minus 4 = 4,
3x = 24,
Start Fraction x Over 8 End Fraction = 1
have 8 as solution.
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Explain answer !!
( WILL GIVE BRAINLEST)
Answer: B. 8
Step-by-step explanation: 3*2=6. What you have to do to the top you have to do to the bottom. So, 4*2=8
Jonas has 3 more than two times the number of video games that Amber has. Amber has 12 games. How many does Jonas have? To solve this problem using algebra, which of the following is one step that you will take?
Answer:
36
Step-by-step explanation:
So Jonas has ? number of games.
Multiply 12 by 3.
You get thirty-six.
So Jonas has thirty-six games.
One step you take is multiplying 12 by 3.
I hope this helps! :)
Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
a y = 14^x
b y = -3 (17)^x
c y = 120x
d y = -275x
Answer: y = 14^x
Step-by-step explanation:
Here the options are:
a y = 14^x
b y = -3*(17)^x
c y = 120x
d y = -275x
to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:
the derivations are:
a y = x*14^(x - 1)
b y = -x*3*(17)^(x - 1)
c y = 120
d y = -275
So we can already discard options c and d, because have constant rate of change.
Then we keep options a and b.
Always when we have an exponential function, like a^x and b^x
The one with the larger base will be steeper.
So if a > b, then:
a^x is steeper than b^x
In this case, the function:
y = -3*(17)^x
has a larger base, but, this function is negative.
This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)
Then the left option (a: y = 14^x)
Will be the correct one.
(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)
Ay anyone willing to help me with my work kinda lost
Okaayyy
Set B has the greater mode
12b – 5 = 3b
How do you solve for b
Answer:
b=5/9
Step-by-step explanation:
Ira and his wife's monthly payment included $1,256.61 for principal and interest, as well as
one twelfth of the annual property taxes of $3,478.50 and one twelfth of the annual
insurance premium on the property of $1,186. What will the total monthly payment be?
Answer:
its 1,645.32
Step-by-step explanation:
search one twelfth of 3,478.50, then one twelfth of 1,186 and add those answers with 1,645.32
Could you help with this question?
(X-2)= -5.5
Answer:
-3.5 i believe
Step-by-step explanation:
Answer : X=-3.5
Step-by-step explanation:
Paige is a graphic designer who makes logos for companies. She makes a design for a logo, which is in the shape of a square. The design of this logo is drawn on the coordinate plane as square ABCD. She then dilates this logo by a scale factor of 2, forming square A'B'C'D'. She realizes that she needs a much bigger design and so further dilates this transformed square by a scale factor of 3 to form A"B"C"D". What are the coordinates of vertex A' and vertex C"?
Answer:
c
Step-by-step explanation:
c because trust me i did it before im in 10th grade now
I also need help with this one so pls help me
Answer:
the answer is 39
Step-by-step explanation:
you take 300 - 271 and you get 39
Answer:
29? or I'm just gullible.
Step-by-step explanation:
It seems like 29 so hopefully it is
Match the equations to the lines below :
y = 1/2x - 1
y= -1/2x + 1
y= 1/2x + 1
y= -2x - 1
y= 2x - 1
y= -1/2x - 1
Three boys won $6000. They shared the money so that one boy gets $1200 more than the other two boys. Calculate how much money each boy gets?
Answer:
3200
Step-by-step explanation:
take 6000 and divide it by 3 then add 1200 to that!
10.(06.01 LC)
The following set of coordinates represents which figure?
(3,-5), (5,-2), (10,-4), (8, -7) (6 points)
Rectangle
O Rhombus
O Parallelogram
O Square
Answer:
It's a Rhombus
Step-by-step explanation:
(20,-6)(6,5) find the slope
!!!ANSWER IMEDDIATELY!!! What is the area of this trapezoid?
Answer:
A
Step-by-step explanation:
I worked it out :)
PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!
Answer:
the amplitude is 5
the period is 4 pi
Step-by-step explanation:
Noah wrote that 6+6 =12. Then he wrote that
6+6 -n =12 - n. Are his equations balanced? Explain.
Answer:
Hs equations are balancedStep-by-step explanation:
To check whether both equations are balanced, we will simplify
6+6 -n =12 - n
Add n to both sides of the equation using additive property
6+6-n+n = 12-n+n
6+6 +0 = 12+0
6+6 = 12 (This gives the other equation)
Since they are both equal, this shows that the equations are balanced
calcule el cociente de los siguientes ejercicios
(-8)/(+2)
Answer:
-4
Step-by-step explanation:
if f(6)=7 what is f(-2)
Answer:
1 is correct answer or not please reply me
the value of the 5 in the number 40.52 is _____ the value of the 5 in 115.78?
The value of each digit in a number is known as the place value. The value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths, and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10The value of 5 in the given numbers can be written as,
The value of the 5 in the number 40.52 is 0.5.The value of the 5 in the number 115.78 is 5.Now, we can write the value of the two numbers as,
5 = 0.5 × x
x = 5/0.5
x = 10
Hence, the value of the 5 in the number 40.52 is 10 times the value of the 5 in 115.78.
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Find two consecutive numbers whose sum is 55
Answer:
27 and 28
Step-by-step explanation:
Answer and Step-by-step explanation:
27 and 28.
27 plus 28 equals 55.
To know which numbers to use, we have to find two numbers that would produce a number that would include the digit of the second number in 55. Then, we find numbers that add up to 5, then minus by 1.
#teamtrees #WAP (Water And Plant)
What is the scale factor of this dilation?
A:2/3
B:1 1/2
C:3
D:5
Please hurry it’s timed
Answer:
1 1/2
B
Step-by-step explanation:
Can y’all help me a question 25?!
Answer:
19.8839 miles away
Step-by-step explanation:
:)
PLZ HELPPPPPPPPPPPPPPPP
Question 3
Describe the function between x=-4 and x = -1.
Answer:
liner increasing
Step-by-step explanation:
what is the length of the diagnal of the rectangle- iready
Answer:the what:0
Step-by-step explanation: