Answer:
4÷(6+3)
Step-by-step explanation:
6+3 is the sum of a number and 3, and you divide 4 by that.
The algebraic expression represents the statement The quotient of four and the sum of a number and three is 4÷(x + 3).
What is an expression?A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.
Given:
The quotient of four and the sum of a number and three,
The above statement can be written as,
4÷(x + 3)
Here, x is the number
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Data for price and thickness of soap is entered into a statistics software package and results in a regression equation of ŷ = 0.4 + 0.2x.
What is the correct interpretation of the slope if the price is the response variable and the thickness is an explanatory variable?
A. The price of the soap increases by $0.20, on average, when the thickness increases by 1 cm.
B. The price of the soap decreases by $0.40, on average, when the thickness increases by 1 cm.
C. The price of the soap increases by $0.40, on average, when the thickness increases by 1 cm.
D. The price of the soap decreases by $0.20, on average, when the thickness increases by 1 cm.
Answer: A. The price of the soap increases by $0.20, on average, when the thickness increases by 1 cm
Step-by-step explanation:
Given the following :
Regression equation : ŷ = 0.4 + 0.2x
Price is the response variable (ŷ)
Thickness is the explanatory variable (x)
Relating the equation given to the regression model:
ŷ = c + mx
Here c = intercept ; y = response variable ;x = explanatory variable and m = slope or gradient.
Hence, mx = 0.2x
Where m = 0.2
The slope means :
Change in y / change in x
Changes in the response variable with respect to change in the explanatory variable.
The slope is positive meaning an increase in the thickness will result in a corresponding increase in price.
With a 0.2 gradient value, that means there is an $0.2 average increase in price of soap as the thickness increases by 1 cm.
Answer:
The price of the soap increases by $0.20, on average, when the thickness increases by 1 cm.
Step-by-step explanation:
Find the value of x that makes AFGH~AJKL.
(Lesson 11.3) (1 point)
X+3.5
20
Answer: The answer is: " x = 2.833333333333...." .
___________________________
or: write as: " 2 [tex]\frac{5}{6}[/tex] " .
___________________________
Step-by-step explanation:
___________________________
Set up a ratio:
Note: Segment FH = (x + 35)
Segment JL = 20 ;
Segment FH ~ Segment JL ;
___________________________
Note: Segment GH = (x - 4) ;
Segment KL = 5 ;
Segment GH ~ Segment KL .
___________________________
So, ( x + 3.5) : 20 :: (x-4) : 5 ;
Write this ratio in fraction format:
___________________________
→ [tex]\frac{(x+3.5) }{20 } = \frac{(x-4) }{5}[/tex] ;
Now; "cross-factor multiply" :
→ [tex]\frac{a}{b} = \frac{c}{d }[/tex] ; → [tex]ad = bc[/tex] ; { [tex]{ a\neq0 ; b\neq0 ; c\neq0 ; d\neq0[/tex] .}.
___________________________
So:
5(x + 3.5) = 20(x - 4) ;
___________________________
→ To simplify, start by divide each side of the equation by "5" ;
___________________________
→ {5(x + 3.5) } / 5 = { 20(x - 4) } / 5 ;
to get:
→ (x + 3.5) = 4(x - 4) ;
___________________________
Now, on the right-hand side of the equation;
let us expand the expression;
___________________________
We have the expression: " 4(x - 4) " ;
To expand:
Note the "distributive property of multiplication:
→ a(b + c) = ab + ac ;
Likewise:
→ 4(x - 4) = 4x - 16 ;
___________________________
Now, we can rewrite our equation:
___________________________
→ " x + 3.5 = 4x - 15 " ;
Now, we can subtract "x" from each side of the question;
& add "15" to each side of the equation; as folllows:
___________________________
→ x + 3.5 = 4x - 15 ;
- x + 15 = - x +15
___________________________
to get: 8.5 = 3x ;
↔ 3x = 8.5 ;
Now, divide each side of the equation by "3" ;
to isolate "x" on one side of the equation;
& to solve for "x" ; as follows:
→ 3x / 3 = 8.5 / 3 ;
to get: x = 8.5 /3
= 2.83333333333 ;
or; write as: " 2 [tex]\frac{5}{6}[/tex] ."
___________________________
Hope this is helpful to you! Best wishes!
___________________________
Which Greek geometer founded a philosophical society that devoted itself to the study of mathematics?'
Answer:
Pythagoras
Step-by-step explanation:
Pythagoras
if 6x is 6, then what is the square root of 4761 x
Answer:
the answer is 69
Step-by-step explanation:
you find the square root of 4761
Answer:
its 69
Step-by-step explanation:
The profit that a business made during a year is $536,897,000. If the business divides the profit evenly for each share, estimate how much each share made if there are 10,995,000 shares.
Sam missed a question on his Algebra Test. He wrote his work down. Where is his error in solving 3x + 2 = 14?
Answer:
10/3
Step-by-step explanation:
Step 1: Subtract 4 from both sides.
3
x
+
4
−
4
=
14
−
4
3
x
=
10
Step 2: Divide both sides by 3.
3
x
3
=
10
3
The number of foxes in a national forest had grown by 1160 in the past year If the number of foxes at the beginning of the year was 5800 by what percent did it increase
Answer:
5800-1160=4640
1160×100÷4640=25
=25%
Which figure shows △MNP reflected over the y-axis to form △M`N`P`?
Answer:
The answer is in the picture below
Step-by-step explanation:
Hope this helps!
Figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.
What is the reflection of an image?The reflection operator geometrically repositions image elements, or pixel values, in such a way that they are reflected about a user-specified image axis or image point and placed in a new position in a matching output image.
In the given image option fourth is showing the correct reflection of the triangle △MNP over the y-axis to the form △M`N`P'.
It is observed that every point of the triangle MNP is at the same distance from the y-axis as every point of the triangle M'N'P'.
Therefore, figure number four in the image shows △MNP reflected over the y-axis to form △M`N`P`. The correct option is D.
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Which of the following is most likely the next step in the series
Answer:
C
Step-by-step explanation:
In the pattern, there are some similarities with the first three circles.
1. The number is on the blue half.
2. The halves switch spots, red-blue, blue-red, red-blue.
So, the next one should have the number on the blue half and the next pattern should be red-blue, blue-red, red-blue, and blue-red.
Which one has both the number on the blue half and the pattern blue-red?
C
Hoped this helped.
From 12:00 midnight to 6:00am
Answer:
6 hours?
Step-by-step explanation:
12:00 0 hour(s)
1:00 1 hour(s)
2:00 2 hour(s)
3:00 3 hour(s)
4:00 4 hour(s)
5:00 5 hour(s)
6:00 6 hour(s)
**WILL GIVE BRAINLIEST** Absolute Value Question. PLEASE HELP QUICK.
Cross multiply the numbers in the matrix:
1 *2 + 5*x = -13
Simplify:
2 + 5x = -13
Subtract 2 from both sides:
5x = -15
Divide both sides by 5
X = -15/5
X = -3
Because it’s absolute value it needs to be positive so x = 3
2(3w+9z) simplify it please .
Answer:
6w + 18z
Step-by-step explanation:
distribute the 2
2 x 3w = 6w
2 x 9z = 18 z
6w + 18z
Answer:
6w+18z
Step-by-step explanation:
Hayley is 5feet 5 inches tall. What is tis i metres to the nearest centimetre
Answer:
It might be 168 centimetres
Step-by-step explanation:
5. ACT scores for a group of six students from a local high school is 21, 22, 23, 25, 26, 33. What is the range for this distribution of scores?
Answer:
12
Step-by-step explanation:
The formula for RANGE of a given set if data = Maximum value - Minimum value.
In the above question, we are given a group of ACT scores
21, 22, 23, 25, 26, 33.
Maximum value = 33
Minimum value = 21
Range = 33 - 21
= 12
Therefore, the range for this distribution of scores is 12
A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thickness. Find the dimensions of the tank with minimum weight.
Answer:
The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft
Step-by-step explanation:
We were given the volume of the tank as, 2048 cubic feet.
Form minimum weight, the surface area must be minimum.
Let the height be h and the lengths be x
the volume will be: V=x²h then substitute the value of volume, we have
2048=hx²
hence
h=2048/x²
Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.
The surface area of the box described is
A=x²+4xh
Then substitute h into the Area equation we have
A= x² + 4x(2048/x²)
A= x² + 8192/x
We want to minimize
A
dA/dx = -8192/x² + 2 x= 0 for max or min
when dA/dx=0
dA/dx= 2x-8192/x²=0
2x=8192/x²
Hence
2x³=8192
x³=4096
x=₃√(4096)
X=16ft
Then h=2048/x²
h=2048/16²
h=8ft
The box should have base 16ft by 16ft and height 8ft
Hence the dimensions are 16 ft by 16 ft by 8 ft
1 meter is equivalent to how many feet
What is the slope of the function y= 4x+ 6
Answer:
The answer is 4Step-by-step explanation:
Since the function is a linear function
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation is
y = 4x + 6
Comparing with the general form of equation above the slope of the function is
4Hope this helps you
48% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 300 found that 45% of the readers owned a particular make of car. Is there sufficient evidence at the 0.02 level to support the executive's claim?
Answer:
There is no sufficient evidence to support the executive claim
Step-by-step explanation:
From the question we are told that
The population proportion is [tex]p = 0.48[/tex]
The sample proportion is [tex]\r p = 0.45[/tex]
The sample size is [tex]n = 300[/tex]
The level of significance is [tex]\alpha = 0.02[/tex]
The null hypothesis is [tex]H_o : p= 0.48[/tex]
The alternative hypothesis is [tex]H_a : p \ne 0.48[/tex]
Generally the test statistics is mathematically evaluated as
[tex]t = \frac{\r p - p }{ \sqrt{ \frac{p(1 - p )}{n} } }[/tex]
=> [tex]t = \frac{0.45 - 0.48 }{ \sqrt{ \frac{0.48 (1 - 0.48 )}{300} } }[/tex]
=> [tex]t = -1.04[/tex]
The p-value is mathematically represented as
[tex]p-value = 2P(z > |-1.04|)[/tex]
Form the z-table
[tex]P(z > |-1.04|) = 0.15[/tex]
=> [tex]p-value = 2 * 0.15[/tex]
=> [tex]p-value = 0.3[/tex]
Given that [tex]p-value > \alpha[/tex] we fail to reject the null hypothesis
Hence we can conclude that there is no sufficient evidence to support the executive claim
Help Please!!!!! What is the absolute value of ∣∣2 1/3 ∣∣? Use this number line to determine the absolute value. Enter your answer in the box as a mixed number in simplest form.
Answer:
2 1/3
Step-by-step explanation:
i know because i did the test in k 12
An absolute value of |x| {modulus of x} is the value of a real number x. The absolute value of ||2 1/3|| is 2 1/3.
What is Absolute Value?An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, and also, |5| will give 5 as well.
The absolute value of ||2 1/3|| is,
||2 1/3||
= |2 1/3|
= 2 1/3
Hence, The absolute value of ||2 1/3|| is 2 1/3.
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Are these ratios equivalent 4:5 and 16:20 yes or no
Answer:
yes
Step-by-step explanation:
this is correct because if you multipy them both by 4 you get those answers .
4 x 4 = 16
5 x 4 = 20
The ratios 4:5 and 16:20 are equivalent to each other. Yes, the ratios are equal to 4: 5.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The equivalent is the expression that is in different forms but is equal to the same value.
The two ratios are given below.
4:5 and 16:20
Convert the ratios into their simplified form. Then the ratios are given as,
4:5 and 16:20
4:5 and 4:5
The ratios 4:5 and 16:20 are equivalent to each other. Yes, the ratios are equal to 4: 5.
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2y + 18 y + 39 Find y
Answer:
Step-by-step explanation: 2y+18 = y+39
y=21
Answer:
y = 21
Step-by-step explanation:
In the figure , 2y + 18 and y + 39 are opposite interior angles . We know that opposite interior angles are equal , so
2y + 18 = y + 39
=> 2y - y = 39 - 18
=> y = 21
Let f(x) = 1/x+2 and g (x) = 1/x-3. Find (f/g) (x). Assume all appropriate restrictions to the domain. help!!!!
Answer:
x ≠ -2 or 3
Step-by-step explanation:
No denominator can be zero, so ...
x +2 ≠ 0
x ≠ -2
__
x -3 ≠ 0
x ≠ 3
__
g(x) ≠ 0 . . . . . true for all x; no restriction needed for this
__
The appropriate restrictions are x ∉ { -2, 3 }.
Simplify: (x-3) (x-3)
Answer:
x^2 -6x +6
Step-by-step explanation:
Square of a difference (can be found in IM2)
Formula: a^2 -2ab +b^2
x= a; 3= b
(x -3)(x -3)
Plug in to formula.
x^2 -2(x)(3) +3^2
Simplify.
x^2 -6x +6
Answer:
[tex](x - 3)^{2}[/tex]
A 20-person fraternity is making their weekend plans around 5 different parties in IV. Each brother will attend exactly one of the parties. Fraternity rules state that the fraternity must have a representative at each party. Assume that only the number of brothers that show up at a party is important, i.e. the brothers are indistinguishable. (a) How many different arrangements of plans are possible
Answer:
3876
Step-by-step explanation:
Given the following :
Fraternity members = 20
They are to attend 5 different parties in groups of 4
Meaning a group = 4 persons
Atleast one brother will attend exactly one of the parties. (the brothers are indistinguishable).
Then, exactly one brother at a party (20 - 1) = 19, since they are indistinguishable.
Group members are in 4's
19C4
From: nCr = n! /(n-r)! r!
19C4 = 19! / (19 - 4)! 4!
= 19! / 15! 4!
= (19 * 18 * 17 * 16) / (4 * 3 * 2)
= 93024 / 24
= 3876
What number should be placed in the box to help complete the division calculation? long division setup showing an incomplete calculation. 12 is in the divisor, 8587 is in the dividend, and 7 hundreds and 1 tens is written in the quotient. 8400 is subtracted from 8587 to give 187. An unknown value represented by a box is being subtracted from 187.
Answer:
120
Step-by-step explanation:
Your description is a little different from below picture, but the logic is the same. The 1 in the tens position represents 10x12 = 120, hence 120 should be subtracted and leaves you with 67 to continue.
Answer:
187
Step-by-step explanation:
12 in not the divisor of 8587 in the dividend with 7 hundreds and 1 tens. 8400 you subtracted from 8587 to give 187.
A rectangular box has a length of 9 inches, width of 5 inches, and hight of 1 foot. Find the volume of the box in cubic inches.
Answer:
[tex]45^{3}[/tex] inches
Step-by-step explanation:
To calculate the volume of a rectangular prism(or in this case, the rectangular box), you need to multiply the length, width and height together.
length x width x height
9 x 5 x 1
= [tex]45^{3}[/tex] inches
The following data shows marks obtained by students in a mathematics test; 6,9,5,0,5,3,7,5,2,7,10,2,9,8,0,6,2,6,6,3,6,9,7,7,4,1,6,68 a. construct a frequency distribution table data using a discrete values 0, 1, 2,............. 10 b. State the modal score of the distribution c. if a student is chosen at random, what is the probability that a student scored more than 5 means d. Using assumed mean of 6, calculate the arithmetic mean score of the distribution
Data
6,9,5,0,5,3,7,5,2,7,10,2,9,8,0,6,2,6,6,3,6,9,7,7,4,1,6,8
Answer:
(a) shown in the attachment
(b) 0.54
(c) 5.32
Step-by-step explanation:(a) The frequency distribution table has been added to this response.
The table contains four columns:
First column (x): The discrete values of the marks
Second column (f): The corresponding frequency of the marks
Third column (d) : The difference between each mark(x) and the assumed mean(A). i.e d = x - A (Where A = 6 from the question)
Fourth column (fd): The product of the first column and the third column. i.e f * d
(b) From the table, it can be deduced that the modal score is 6
This is because the score 6 has the highest number of frequency which is 6
(c) If a student is selected at random, the probability P(>5), that the student scored more than 5 is given as follows;
P( >5 ) = [The sum of frequencies of marks greater than 5] / [Total frequency]
P( >5 ) = [6 + 4 + 2 + 3 + 1] / [28]
P( >5 ) = 15 / 28 = 0.54
Therefore, the probability that the student scored more than 5 is 0.54
(d) To get the arithmetic mean, M, from the assumed mean A = 6, we use the following relation;
M = A + [∑fd / N] -----------(*)
Where
N = total frequency = 28
A = 6
∑fd = sum of the items on the fourth column = -19
Substitute these values into equation (*)
M = 6 + [-19 / 28]
M = 149 / 28
M = 5.32
Therefore, the arithmetic mean is 5.32
Write -5 less than p as an expression
Answer:
the answer is -5 -p
Step-by-step explanation:
the reason why this is, because negative 5 is less than (-) the variable p.
cells splits into 2 cells every hour. Write expression to find number of cells in 6 hours
Answer:
12 cells every hour.
Step-by-step explanation:
You would do 2 x 6
(the 2 is the cells per hour, and the 6 is the amount of hours)
Write the number shown in standard notation. 1.02 x 10 First Correct answer gets Brainliest
Answer:
1.02×10¹ = 10.2
Step-by-step explanation:
We have given a number in scientific notation as follows 1.02×10¹
We need to convert it into standard notation.
1 is in ones place, 0 is in tenths place and 2 is in hundredths place.
[tex]1.02\times 10^1=\dfrac{102}{100}\times 10\\\\=\dfrac{102}{10}\\\\=10.2[/tex]
So, the standard notation of 1.02×10¹ is 10.2