The standard deviation of the sampling distribution of the sample mean is $115,000. The population standard deviation was $25,000. A random sample of 100 new home sales from this city was taken. What is the probability that the sample mean selling price was between $114,000 and $116,000?
Answer:
0.31084
Step-by-step explanation:
When given a question where by a random sample is chosen for the population, the z score formula used =
z = (x-μ)/Standard error
where x is the raw score
μ is the population mean
Standard error = σ/√n,
σ is the population standard deviation
n = number of samples
For x = $114,000, μ = $115,000, σ = 25,000, n = 100
z = (x-μ)/Standard error
= z = (x-μ)/ σ/√n
z = 114,000 - 115,000/ 25,000/√100
= -1000/25,000/10
= -1000/2500
z = -0.4
Determining the probability value from Z-Table:
P(x = 114000) = P(z = -0.4)
= 0.34458
For x = $116,000, μ = $115,000, σ = 25,000, n = 100
z = (x-μ)/Standard error
= z = (x-μ)/ σ/√n
z = 116,000 - 115,000/ 25,000/√100
= 1000/25,000/10
= 1000/2500
= 0.4
Determining the Probability value from Z-Table:
P(x = 116000) = P(z = 0.4)
= 0.65542
The probability that the sample mean selling price was between $114,000 and $116,000 is calculated as
= P(114,000< x < 116,000)
= P(-Z<x<Z)
= P(-0.4<x< 0.4
= 0.65542 - 0.34458
= 0.31084
Therefore, the probability that the sample mean selling price was between $114,000 and $116,000 is 0.31084
Erik sees 42 stars in the sky on Tuesday night. This is 7 times as many stars as he sees on Monday night. How many stars does Erik see on Monday night?
Answer:
Step-by-step explanation:
Just multipley 42 by 7
English
Math 7
Which table does not represent a proportional relationship?
I can’t get any of these help me plsss
Answer: C
Step-by-step explanation:
The difference between an equation and expression is the equals sign. A simple way to tell of an expression is an equation is if there is an equal sign. If there is an equal sign, then it is an equation. If not, it is an expression.
Since this problem is asking for expression, it would be easiest to find an answer choice that doesn't include the word "_____is _____". This is a way to say _____ is equal to ____.
Let's go through each of the answer choices and write the equation/expression for it.
A. Equation
(4+x)/2=12
---------------------------------------------------------------------------------------------------------
B. Equation
p-1=14
---------------------------------------------------------------------------------------------------------
C. Expression
3c-9
---------------------------------------------------------------------------------------------------------
D. Equation
9m=36
---------------------------------------------------------------------------------------------------------
There is no indication that the expression is equal to anything, therefore C is the correct answer.
What the ratio of 7:3
Hey there!
ANSWER: [tex]14/6[/tex]EXPLANATION:Ratio of [tex]7:3[/tex]
If you want to get the ratio, you should multiply the numerator(7) and denominator(3) by 2.
[tex]7*2=14(Numerator)\\3*2=6(Denominator[/tex]
So your answer is:
[tex]14/6(ANSWER)[/tex]
Hope this helps!
[tex]-TestedHyperr[/tex]
Use the general solution to solve 5 – 6x = 8x + 17.
Answer:
8x+6x=14x
5-17= -12
divide both sides by 2
7x= -6
divide by 7
you get x= -6 over 7
Step-by-step explanation:
Answer:
x= -6/7
Step-by-step explanation:
1. 5 - 17 = 8x + 6x
2. -12 = 14x
3. x= -6/7
El producto de dos números consecutivos es 552 cuáles son esos números?
Answer: 23 y 24 ( ó -23 y -24)
Step-by-step explanation:
Dos números consecutivos se escriben como:
n y (n + 1)
done n es un numero entero.
Entonces "El producto de dos números consecutivos es 552"
Se escribe como:
n*(n + 1) = 552
n^2 + n = 552
n^2 + n - 552 = 0
Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.
[tex]n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}[/tex]
Las dos soluciones son.
n = (-1 - 47)/2 = -48/2 = -24
n = (-1 + 47)/2 = 46/2 = 23
Si tomamos la primer solución, n = -24
Entonces los dos números consecutivos son:
n = -24
(n + 1) = -23
Si n = 23 entonces
n + 1 = 24
Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.
Can anyone help me out with this please!
Answer:
[tex]h(x)=\frac{1}{4}|x|[/tex]
Step-by-step explanation:
In order to vertically stretch a function, we just need to multiply the function by our stretch factor.
So, we have the function:
[tex]g(x)=|x|[/tex]
We want to find the equation of this function vertically shrunk by a factor of 1/4. So, multiplied the function by 1/4:
[tex]h(x)=\frac{1}{4}|x|[/tex]
And this will be our answer :)
4 thousandths times 3
Answer:
12000
Step-by-step explanation:
4000 4000 4000 =heheheheheh
Answer:
.00012
Step-by-step explanation:
UH I just did the basic standard algorithm. .0004 x 3 . Pretend there's no decimal then times it then YUh. SOrry I am not good at explaining unu
A quantitative data set has size 60. At least how many observations lie within six standard deviations to either side of the mean? At least nothing observations lie within six standard deviations to either side of the mean. (Round up to the nearest whole number.)
Answer:
,,
Step-by-step explanation:
Simplify the expression : (3/2) of (4/7) multiplied by [(10x3)-(8x2)]
Answer: 68/7
Step-by-step explanation:
given data:
(3/2) of (4/7) multiplied by [(10x3)-(8x2)]
first we break it down into smaller sets.
= ( 3/2 ) * (4/7 )
= 6/7 * [(10x3)-(8x2)]
we open the brackets
= 6/7 * (10x3)-(8x2)
= 6/7 * 30 –16
= 6*30/7 –16
= 180/7 – 16
= 68/7
-8-(-5)=
I need helppp!!!! pleasee
the answer is -3 hope this helps
Three flavors of juice are offered at a school cafeteria The table shows the number of students who purchased each flavor during three lunch
periods
Orange Grape Cherry
51
30
69
Based on the table, what is the probability that a student who bought juice chosen at random purchased the grape flavor
O A. 0.2
B. 0.25
OC. 0,3
D. 0.33
Answer: A. 0.2
Step-by-step explanation:
Probability for any event = [tex]\dfrac{\text{Favorable outcomes for event}}{\text{Total possible outcomes}}[/tex]
Three flavors of juice are offered at a school cafeteria.
The given table:
Orange Grape Cherry
51 30 69
Total juices = 51+30+69 =150
Now, the probability that a student who bought juice chosen at random purchased the grape flavor= [tex]\dfrac{\text{Number of grape juices}}{\text{Total juices}}[/tex]
[tex]=\dfrac{30}{150}=0.2[/tex]
Hence, the correct option is A.
Answer:
0.2
Step-by-step explanation:
Round the decimal 0.334 to the underlined place
A. 1
B. 0
C. 0.3
D. 0.4
Answer:
its 0.3
Step-by-step explanation:
how i found it is by reading the lesson dude
The answer are:
0.334 = 0.3
0.334 = 0.33
0.334 = 0.334
Given,
0.334
We need to round to the underline place.
The underline is not given here so we will assume:
0.334
0.334
0.334
What is the place value of a decimal number?Example:
245.678
2 - hundreds
4 - tens
5 - ones
6 - tenths
7 - hundredths
8 - thousandths
We have,
0.334
Here the underline is in tenth place.
Rounding to tenth place
we get,
0.3
0.334
Here the underline is in the hundredths place
Rounding to the hundredths place
we get,
0.33
0.334
Here the underline is in the thousandth place
Rounding to the thousandth place
we get,
0.334
Thus,
0.334 = 0.3
0.334 = 0.33
0.334 = 0.334 is our answer.
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Video games sold: x
Revenue function: R(x) = 60X
Cost function: C(x) = 12 + 7x
Profit function: P(x) =
DONE
What is the profit earned from selling 20 video games
1. simplify using the laws of exponents
Answer:
To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b. Simplify.
Step-by-step explanation:
what is the absolute value of -13
Answer:
13
Step-by-step explanation:
Absolute value is the distance that number is from zero
Solve the equation |3x+7|=|3x+11|. Graph the solutions, if possible
170% converted to a fraction equals.
Answer:
17/10
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the given point and with the given slope m. (-7,1);m=3
The equation of the line is=
Answer:
The answer is
[tex]y - 1 = 3(x + 7)[/tex]Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (-7,1)
and slope/m=3
The equation of the line is
[tex]y - 1 = 3(x + 7)[/tex]
Hope this helps you
solve the questions
Answer:
i am pretty sure that the answer is 2/35.
A better alternative to direct observation to collect data is through_____, which are often/are more costly.
a. experimentation
b. electronic surveys
c. interviews
d. self administrative questioneers
A better alternative to direct observation to collect data is through Electronic surveys, which are often/are more costly.
What is Meant By Surveys?A survey is a technique in customer service used to gather feedback from customers on goods, services, and other business-related subjects. Participants are asked how they feel about a topic, and their response is recorded for subsequent use.
A survey in which the distribution of the survey to potential respondents and the gathering of survey data from actual respondents are both heavily reliant on computers. Surveys that are distributed by email over the Internet or company intranets are known as email-based surveys.
Given:
Data is a raw information which can be collected by many mediums.
Now, the data can be collected by experimentation, electronic surveys, interviews and self administrative questioners.
As, Surveys are the best option but Among all of them the costly one is Electronic surveys.
Learn more about Survey here:
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Eight times the first of three consecutive odd integers is 4 less than thrice the sum of second and third. The second integer is
Answer:
9
Step-by-step explanation:
first integer = x
second integer = x+2
third integer = x+4
8x=3(x+2+x+4)-4
8x=3(2x+6)-4
8x=6x+18-4
8x=6x+14
2x=14
x=7
second integer=7+2=9
Find the scalar and vector projections of b onto a. a = −3, −6, 2 b = 1, 1, 2
Answer:
[tex]comp_ab=\left(\dfrac{-5}{7}\right)[/tex]
[tex]Proj_ab=\left<\dfrac{15}{49},\dfrac{30}{49},\dfrac{-10}{49}\right>[/tex].
Step-by-step explanation:
The given vectors are
[tex]\vec{a}=<-3,-6,2>,\vec{b}=<1,1,2>[/tex]
Now,
[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2+(2)^2}[/tex]
[tex]|\vec{a}|=\sqrt{9+36+4}[/tex]
[tex]|\vec{a}|=\sqrt{49}[/tex]
[tex]|\vec{a}|=7[/tex]
[tex]\vec{a}\cdot \vec{b}=(-3)(1)+(-6)(1)+(2)(2)[/tex]
[tex]\vec{a}\cdot \vec{b}=-3-6+4[/tex]
[tex]\vec{a}\cdot \vec{b}=-5[/tex]
The scalar projection of b onto a is
[tex]comp_ab=\left(\dfrac{\vec{a}\cdot \vec{b}}{|\vec{a}|}\right)[/tex]
[tex]comp_ab=\left(\dfrac{-5}{7}\right)[/tex]
Vector projection of b onto a is
[tex]Proj_ab=\left(\dfrac{\vec{a}\cdot \vec{b}}{|\vec{a}|}\right)\left(\dfrac{\vec{a}}{|\vec {a}|}\right)[/tex]
[tex]Proj_ab=\left(\dfrac{-5}{7}\right)\left(\dfrac{<-3,-6,2>}{7}\right)[/tex]
[tex]Proj_ab=\left<\dfrac{15}{49},\dfrac{30}{49},\dfrac{-10}{49}\right>[/tex]
Therefore, scale and vector projections of b onto a are [tex]comp_ab=\left(\dfrac{-5}{7}\right)[/tex] and [tex]Proj_ab=\left<\dfrac{15}{49},\dfrac{30}{49},\dfrac{-10}{49}\right>[/tex] receptively.
Jenny ran in four races that totaled 18.5 km. The length of the first three races are
Race #1: 5 km
Race#2: 4.5 km
Race #3: 5.5 km
How far in km did Jenny run in race#4?
Which tribe uses irrigation, so that they can grow crops and maintain their sedentary lifestyle? Apache Caddo Karankawa Jumano
Answer:lo estoy haciendo
Step-by-step explanation:
Find f(2) if f(x) = (x + 1)^2
9
6
5
Answer:
9
Step-by-step explanation:
substitute the x which is x= 2, so
f(2)= (2+1)^2
=(3)^2
=9
The value of f(2) if f(x) = (x+1)² is 9.
What is function?A function from set X to set Y is created by assigning an element from set Y to each element in set X.
The function's domain and codomain are respectively referred to as the sets X and Y and considered as a whole.
A function, its domain, and its codomain are denoted by the notation f:X→Y.
The image of x under f or the value of f applied to the input x are terms used to describe the value of a function at an element x of X, indicated by the notation f(x).
The functions can also be referred to as maps or mappings.
In this question;
Given function is f(x) = (x+1)²
We have to find the value of f(2) that means we have to put 2 in the place of x in f(x)
Thus,
⇒f(x) = (x+1)²
⇒f(2)= (2+1)²
⇒f(2)= 3²
⇒f(2) = 9
Hence, the value of f(2) if f(x) = (x+1)² is 9.
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A drone flies in a circular path around an object that is 100 feet east and 50 feet north of the drone operator. The drone's path takes it over a point that is 40 feet east and 30 feet south of the drone operator. Find an equation for the drone's path. Does the drone cross a north-south line through the operator's position? If so, where? If not, explain why. Suppose the drone operator is facing the object. Is the drone ever "behind" the drone operator? Why/why not?
Answer:
See below
Step-by-step explanation:
Let's plot the points for visibility
Operator position is origin (0, 0)Drone passes through points:(100, 50) and (40, -30)The path makes a line. The equation in slope-intercept form:
y = mx + bSlope:
m = (-30 - 50)/(40-100) = -80/-60 = 4/3y -intercept:
50 = 4/3*100 + bb = 50 - 400/3 = - 250/3The equation:
y = 4/3x - 250/3Questions:
Does the drone cross a north-south line through the operator's position?
No, as y-intercept is not zero. See attachedSuppose the drone operator is facing the object. Is the drone ever "behind" the drone operator?
No. See attachedFind the pattern: 1, 1/4, 1/9, 1/16, 1/25
Having trouble with this one
Answer:
Yes
Step-by-step explanation:
If the diagonals are perpendicular, then the slope of AC will be the opposite reciprocal of the slope of BD.
The slope of AC is:
m = (3 − 3) / (6 − 0) = 0
The slope of BD is:
m = (0 − 6) / (3 − 3) = undefined
The opposite reciprocal of 0 is undefined, so the diagonals are indeed perpendicular.
Specifically, AC is horizontal and BD is vertical.
