Answer:
[tex]n = 126[/tex]
Step-by-step explanation:
First let's model this into an equation.
Twice a number is [tex]2n[/tex], and that divided by 6 is [tex]\frac{2n}{6}[/tex]. That's equal to 42, so we have [tex]\frac{2n}{6} = 42[/tex].
Now we can simplify this equation by isolating n on one side of the equation.
Multiply both sides by 6:
[tex]\frac{2n}{6} \cdot 6 = 42\cdot 6\\\\2n = 252[/tex]
Divide both sides by 2:
[tex]2n \div 2 = 252\div 2\\\\n = 126[/tex]
Hope this helped!
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
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?
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]
Solve for x: 2x – y = (3/4)x + 6.
(a) (y + 6)/5,
(b) 4(y + 6)/5,
(c) (y + 6),
(d) 4(y - 6)/5.
Answer:
B
Step-by-step explanation:
2x – y = (3/4)x + 6.
or, 2x - (3/4)x = y + 6.
or, (8x -3x)/4 = y + 6.
or, 5x/4 = y + 6.
or, 5x = 4(y + 6).
or, 5x = 4y + 24.
or, x = (4y + 24)/5.
Therefore, x = 4(y + 6)/5.
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.
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:
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
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
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:
The area of a rectangle is 18, The number of square feet is a member of which set subsets of real numbers?
Answer:
The area of a rectangle is a natural number, an integer and a rational number.
Step-by-step explanation:
The area of a rectangle is a member of the following three subsets of real numbers:
(i) Natural numbers ([tex]\mathbb{N}[/tex]) - The area of the rectangle has no decimal parts and is positive.
(ii) Integer ([tex]\mathbb{Z}[/tex]) - The area of the rectangle has no decimal parts.
(iii) Rational numbers ([tex]\mathbb{Q}[/tex]) - The area of the rectangle can be obtained by dividing a natural number by other natural number. For instance:
[tex]\frac{36}{2} = 18[/tex]
In a nutshell, the area of a rectangle is a natural number, an integer and a rational number.
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:
Solve the equation |3x+7|=|3x+11|. Graph the solutions, if possible
English
Math 7
Which table does not represent a proportional relationship?
Write as many equations as possible that could represent the relationship between
the ages of the two children in each family described. Be prepared to explain what each part of your equation represents.
a.) In Family A, the youngest child is 7 years younger than the oldest, who is 18.
b.) In Family B, the middle child is 5 years older than the youngest child.
Answer:
a) Here we have:
"In Family A, the youngest child is 7 years younger than the oldest, who is 18"
Let's define:
Y = age of the youngest child.
O = age of the oldest child.
Then we know that:
Y = O - 7
O = 18
Then we can replace the second equation into the first one:
Y = 18 - 7 = 11.
b) Here we have:
"In Family B, the middle child is 5 years older than the youngest child."
Let's define:
Y = age of the youngest child.
M = age of the middle child.
Here we have only one equation:
M = Y + 5.
Answer:
your answer is....
Step-by-step explanation:M = Y + 5.
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 :)
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
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:
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
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 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.
-8-(-5)=
I need helppp!!!! pleasee
the answer is -3 hope this helps
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.
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
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 pattern: 1, 1/4, 1/9, 1/16, 1/25
solve the questions
Answer:
i am pretty sure that the answer is 2/35.
Two cities are 1580 miles apart. A plane leaves one of them traveling towards the other at an average speed o 400 mile per hour. At that time a plane leaves the other traveling towards the first at an average speed of 390 miles per hr. How long will it take them to meet?
Answer:
2 hours
Step-by-step explanation:
Not needed
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.
To know more about the similar questions on 'function';
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What is 0.63% as a decimal
Answer:
0.0063
Hope this helps
Plz mark brainliest
Answer:
0.0063
Step-by-step explanation:
move the decimal 2 places to the left
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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