The division expressions are given below.
Given are divisions, we need to write their division expressions,
5/6 = 5÷6
9/15 = 9÷15 = 3÷5
10/25 = 10÷25 = 2÷5
16/31 = 16÷31
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Burger Barn makes a dipping sauce by mixing 4 spoonfuls of honey with 1 spoonful of mustard. Sandwich Town makes a dipping sauce by mixing 8 spoonfuls of honey with 2 spoonfuls of mustard
Which dipping sauce has a stronger mustard flavor?
The dipping sauce which has a stronger mustard flavor between burger barn and be sandwich town is burger barn
RatioBurger bun:
Honey = 4 spoonfulsMustard = 2 spoonfulsMustard : honey
= 2 : 4
= 2/4
= 1/2
= 0.5
Sandwich:
Honey = 8 spoonfulsMustard = 2 spoonfulsMustard : honey
= 2 : 8
= 2/8
= 1/4
= 0.25
Therefore, burger barn has a more stronger mustard flavor of dipping sauce between burger barn and be sandwich town.
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Answer:
Step-by-step explanation:
The two dipping sauce have same taste.
. The result when adding a number to 6 is 41. What is the number?
Answer: 35 + 6= 41
Step-by-step explanation:
How much cement is needed to build a sidewalk that is 50m long, 8m wide, and 0.5m thick? Responses 200 m³ 66.7 m³ 667 m³ 2000 m³
Hi! I'm Pearl, from your math class, you're the one who always uses ♡ this ♡
during class with Leah, right?
Anyways, here is your answer:
200 meters^3
Volume = 50×8×0.5 = 200 meters^3
Correct me if I'm wrong! :)
Answer: 200m³
Step-by-step explanation: 50m x 8m x 0.5m
simplify the expression:
1. -0.8b^2+7.4b+(5.6b-0.2b^2)
2. (7.3y-y^2+4)+0.5y^2-(8.7y-2.4y^2)
PLZ HELP!!!!!
URGENT!
Answer:
1. -b^2+13b
2. 1.9y^2-1.4y+4
Step-by-step explanation:
1. -0.8b^2+7.4b+(5.6b-0.2b^2)
Simplify: -0.8b^2+7.4b+5.6b-0.2b^2
Add like terms: (-0.8b^2-0.2b^2)= -1b^2/-b^2 (7.4b+5.6b)= 13b
Answer: -b^2+13b
2. (7.3y-y^2+4)+0.5y^2-(8.7y-2.4y^2)
Simplify: 7.3y-y^2+4+0.5y^2-8.7y+2.4y^2
Add like terms: (2.4y^2-y^2)= 1.9y^2 (7.3y-8.7y)= -1.4y (don't forget about the 4)
Answer: 1.9y^2-1.4y+4
Solve the equation for x:
2(x+3)−12=18
Answer: X=12
→Hope this helps!←
A manufacturer receives the order of a batch of aluminum panels. A hole should be drilled on the panel in order to bolt it onto other parts. The diameter of the hole is specified as 10.50 +0.50 mm. The population mean of the holes is 10.60 mm, the population standard deviation is 0.30 mm. The data is normally distributed. If the hole is smaller than the lower specification limit, it can be reworked. If the hole is larger than the upper specification limit, the panel is scrapped. So
a) What percentage of the panels will be scrapped? (5 points)
b) What percentage of the panels will need rework? (5 points)
c) In order to reduce the scrap percentage to 1%, the manufacturer re-centers the process with a new mean value, and the standard deviation remains unchanged. So what is the new mean value? (10 points)
d) What will be the rework percentage with the new mean value? (5 points)
Note: maintain at least two digits after the decimal point.
From the given data about population, we found out answers:
a) The percentage of the panels that will be scrapped is 4.55%.
b) The percentage of the panels that will need rework is 45.45%.
c) In order to reduce the scrap percentage to 1%, the manufacturer must re-center the process with a new mean value of 10.50 mm.
d) The rework percentage with the new mean value is 0.33%.
This is because the new mean value (10.60 mm) is within the specified range (10.50 +0.50 mm). Thus, there will be no rework or scraped panels due to the mean being outside of the specified limits.
To better understand this, it is important to consider the normal distribution of the data and the specified limits for the hole size. The normal distribution of the data means that the majority of the holes will be of the mean size, with very few being either significantly larger or smaller.
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What is irrational number and is 4/3 a irrational number??
Answer: 4/3 is not irrational, it is rational
Explanation:
A rational number is a ratio, or fraction, of two integers. The denominator cannot be zero.
4/3 is rational since it's the ratio of the integers 4 over 3.
Since it is rational, it is not irrational. The term "irrational" literally means "not rational". Therefore, a real number is either of those options, but not both simultaneously.
A famous example of an irrational number is \(\pi \approx 3.14...\) because it cannot be written as a fraction of two integers. We can get approximations like 22/7, but never manage to capture the full value of \(\pi\) with a single fraction.
Another example of an irrational number is \(\sqrt{2}\)
\(\displaystyle\\Answer: \ \frac{4}{3} \ isn`t\ an\ irrational\ number\)
Step-by-step explanation:
An irrational number is an infinite non-periodic fraction
\(\displaystyle\\\frac{4}{3}=1\frac{1}{3} \\\\\frac{4}{3} =1.333333...\\\\\frac{4}{3}=1.(3)\)
1.(3) - is an infinite periodic fraction
\(\displaystyle\\Hence,\ \frac{4}{3} \ isn`t\ an\ irrational\ number\)
Pleaseeee helpppppp what’s the answer
Answer:
134 :)
Step-by-step explanation:
im cant figure out how to do this one ((-3)^2)^-3
Answer:
\(\dfrac{1}{729}\)
Step-by-step explanation:
\(\left(\dfrac{}{}(-3)^2\dfrac{}{}\right)^{-3}\)
First, we should evaluate inside the large parentheses:
\((-3)^2 = (-3)\cdot (-3) = 9\)
We know that a number to a positive exponent is equal to the base number multiplied by itself as many times as the exponent. For example,
\(4^3 = 4 \, \cdot\, 4\, \cdot \,4\)
↑1 ↑2 ↑3 times because the exponent is 3
Next, we can put the value 9 into where \((-3)^2\) was originally:
\((9)^{-3}\)
We know that a number to a negative power is equal to 1 divided by that number to the absolute value of that negative power. For example,
\(3^{-2} = \dfrac{1}{3^2} = \dfrac{1}{3\cdot 3} = \dfrac{1}{9}\)
Finally, we can apply this principle to the \(9^{-3}\):
\(9^{-3} = \dfrac{1}{9^3} = \boxed{\dfrac{1}{729}}\)
Without making any calculations, which data set has the smallest standard deviation? 1, 1, 2, 2, 3, 3 1, 3, 5 0, 1, 5, 6, 9, 10 1, 1, 1, 1, 2, 2, 2, 2
Answer: 0
Step-by-step explanation:
Answer:
The answer is A
Step-by-step explanation:
help me plz and i will give bairnlest frfrf and 30 points
Answer:
5,469
Step-by-step explanation:
a board game cost d dollars. the sales tax rate is 8%. what two expressions can be used to calculate the total cost for the game, including tax?
Answer:
The equation for the amount of tax (8%) T on an item that costs P dollars is:
T=0.08P
Step-by-step explanation:
can anyone help me solve this
Answer:
B
Step-by-step explanation:
THIS IS HOW YOU CAN FIND ANY MISSING ANGLE - ALSO SOLVES FOR X IN THIS QUESTION.
So, a traingle is 180 degrees.
A line is also 180 degrees.
We know that the angles that make up the triangle are 46, 90, and a missing angle
We need to find the missing angle to find x
To find the missing angle, we must subtract the known angles by the 180 degrees of the traingle.
So:
180-90
=
90
90-46
=
44
So we know the missing angle is 44 degrees.
Let subtract the missing angle(44 degrees) by the 180 degrees of the line:
180-44
=
136
THIS IS WHAT ANSWERS THE OPTION METHOD THAT GIVES THE ANSWER
So x equals 136. This is the missing angle x.
So, remember, both the line and the traingle are 180 degrees.
They both need to find the missing value, which we know is 44
The rest of both the triangle and line is 136 degrees.
Well, 136 degrees on the triangle is the known 90+46 degrees.
Since this will be the same on the line, we can think of x as:
90+46
This looks like answer 1.
Hope this helps! :)
Read top part so you can understand how to do future problems, and write in comments if you are confused/need more help.
Student:
Functions
Student Activity Sheet 4; Exploring "Graphs"
Rental fee
$150
$100
odmen size6
$50
$0+
0
18
Carla's Cars-to-Go
L
200
Miles driven
100
300
Class:
Vince's Vans
Miles driven
50
100
150
200
250
300
Date
Rental fee
$22.50
$45.00
$67.50
$90.00
$112.50
$135.00
Student
nawol iswoll arb
Func
Stude
16. Which van rental company begins to charge you money as soon as you rent the va
(before you ever drive a single mile)? How do you know?
2016/3
It is a useful tool for identifying sources of variation in data and, as a result, for better understanding the process and determining root causes.
Vince's Vansrental company begins to charge you money as soon as you rent the va
What is a graphical analysis?Graphical analysis is a graphical representation of data that employs charts, figures, and graphs. It is especially useful in assisting managers in digesting large amounts of data. This type of analysis presents a large amount of data in an easy-to-understand format.Graphical analysis enables rapid learning about the nature of the process, clarifies communication, and provides focus for further analysis. It is a useful tool for identifying sources of variation in data and, as a result, for better understanding the process and determining root causes.To learn more about : Data Analysis
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Solve |x| > -9. no solution all reals {x | x 9}
Answer:
all real numbers
Step-by-step explanation:
The absolute value means non negative
all non negative numbers are greater than negative numbers
so any number will satisfy this equation
Answer: All reals
Step-by-step explanation:
Any number will work for the equation
Find the exact value of sin 0 if cos 0=-2/3 and 90º < 0 < 180°
Answer:
sin (theta) = \(\frac{\sqrt{5} }{3}\)
Step-by-step explanation:
cos = adjacent side/hypotenuse
Then, in a right triangle the adjacent = 2 and the hypotenuse = 3
By the Pythagorean theorem, 3^2 = 2^2 + opposite side^2
9 - 4 = 5
opposite side = \(\sqrt{5}\\\)
sin (theta) = \(\frac{\sqrt{5} }{3}\)
An easier way is to find sin(arccos (-2/3) = \(\frac{\sqrt{5} }{3}\)
Note: Remember that the sin is positive in the 2nd quadrant.
There are two formulae you can use to calculate the number of apple trees and the number of conifer
trees for the pattern described on the previous page:
Number of apple trees = n2
Number of conifer trees = 8n
where n is the number of rows of apple trees
There is a value of n for which the number of apple trees equals the number of conifer trees.
Find the value of n and show your method of calculating this.
9514 1404 393
Answer:
n = 8
Step-by-step explanation:
"By inspection" is an appropriate method.
We are asked to compare the expressions
n·n
8·n
and find the value(s) of n that makes them equal. By inspection, we see that n=8 will make these expressions equal. We also know that both expressions will be zero when n=0.
__
More formally, we could write ...
n^2 = 8n . . . . the two formulas give the same value
n^2 -8n = 0 . . . . rearrange to standard form
n(n -8) = 0 . . . . . factor
Using the zero product rule, we know the solutions will be the values of n that make the factors zero. Those values are ...
n = 0 . . . . . makes the factor n = 0
n = 8 . . . . . makes the factor (n-8) = 0
Generally, we're not interested in "trivial" solutions (n=0), so the only value of n that is of interest is n = 8.
__
A lot of times, I find a graphing calculator to be a quick and easy way to find function argument values that make expressions equal.
A company models its net income, in thousands of dollars, with the function f(x) = 9x² – 54x – 144, where x is the number of units of its product sold. How many units of its product does the company need to sell in order for the net income to equal $0?
Answer:
8
Step-by-step explanation:
Income = 0
so 0 = 9x^2 - 54x - 154
you can go straight to the Quadratic Formula to find the answer, or you can try factoring as follows ....
divide both sides of the equation by 9 to get
x^2 -6x -16 = 0 which easily factors to :
(x -8)(x+2) = 0 <===== this shows x = 8 or -2(throw out)
What are reasons A,B and C in the proof
Answer:
C
Step-by-step explanation:
because it's the safe bet sorry I'm really dumb
Find two numbers if their sum is 97, and one of them is 9 bigger than the other.
Answer:
yes 9 bigger than the other one
Identify the angle relationship:
Corresponding
Alternate Exterior
Alternate Interior
Consecutive Interior
Answer:
I believe the answer is alternate interior :^))
Is y=2x-1 a function?
Answer:
It is a function.
Step-by-step explanation:
By definition, a function relates each element in the domain to only one element in the range. This means that each vertical line you draw through the x-axis can intersect the function at only one point. ... y = 2x +1. This is the equation of a straight line with slope 2 and y-intercept 1, so it is a function.
A linear function is two distinct but related notions. So, y=2x-1 is also a linear function.
A physician wants to perform a study at a local health center where 250 individuals have stress issues. The purpose of the study would be to determine if doing yoga for 30 minutes helps with improving stress levels compared to sleeping for 30 minutes.
Part A: Describe an appropriate design for the study. (5 points)
Part B: The hypotheses for this study are as follows:
H0: There is no difference in the mean improvement of stress levels for either treatment.
Ha: The mean improvement of stress levels is greater for the yoga treatment.
Part A: μ₁ denotes the mean improvement in stress level for group 1 the group subject to doing yoga for 30 minutes and μ₂ is the mean improvement in stress level for group 2, the group subject to sleeping.
Part B: The type 2 error is more serious.
What is the null hypothesis?
The null hypothesis is the assertion that there is no association between the two sets of data or variables being investigated in a scientific study. The term "null" refers to the idea that any empirically observed difference is entirely attributable to chance and that no underlying causal relationship exists.
Here, we have
Given: A physician wants to perform a study at a local health center where 250 individuals have stress issues.
Part A: The population of 250 individuals may be divided into two groups of 125 individuals each.
The groups are named as group 1 and group 2.
Let μ₁ denote the mean improvement in stress level for group 1, the group subject to doing yoga for 30 minutes, and μ₂ is the mean improvement in stress level for group 2, the group subject to sleeping.
Part B:
H₀: μ₁ = μ₂ against Hₐ: μ₁ > μ₂
We know,
t = (x₁-x₂)/(s√1/n₁+1/n₂)
Where n₁ = n₂ = 125
x₁ = calculated means for group 1
x₂ = calculated means for group 2
We reject H₀ at level α.
Type 1 error: The probability of rejecting a true null. Even though there is no difference in mean improvement, the center will allow individuals to do yoga during their visit since the null is rejected.
Type 2 error: The probability of accepting a false null. Even though the mean improvement is not equal, the health center will not allow individuals to do yoga during their visit.
Hence, the type 2 error is more serious.
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the image above is a _______?
a. rectangle
b. square and parallelogram
c. square
d. square and rectangle
e. parallelogram
f. square, rectangle and parallelogram
Answer:
F
Step-by-step explanation:
This is a square if you think about it, but it has the abilities of a rectangle and parallelogram. So it is F.
write the equation of the line that is parallel to y=2x+1
Answer:
y = 2x, y = 2x+2, y=2x+100, y=2x-57, etc.
Step-by-step explanation:
Any line with the same slope will be parallel.
help me Please!!!!!!!
Answer:
\(\boxed{Option \ C}\)
Step-by-step explanation:
\(Sin \ Y = \frac{Opposite }{Hypotenuse } = \frac{XZ}{XY}\)
\(Cos \ Y = \frac{Adjacent}{Hypotenuse} = \frac{YZ}{XY}\)
\(Tan Y = \frac{opposite}{adjacent} = \frac{XZ}{ZY}\)
Answer:
\(\boxed{\mathrm{C}}\)
Step-by-step explanation:
sin \(\theta\) = Opposite/Hypotenuse
sin (Y) = \(\frac{XZ}{XY}\)
cos \(\theta\) = Adjacent/Hypotenuse
cos (Y) = \(\frac{YZ}{XY}\)
tan \(\theta\) = Opposite/Adjacent
tan (Y) = \(\frac{XZ}{YZ}\)
Solve the equation.
2x + 3(x - 1) = 3x + 11
X = [?]
Answer:
x=7
Step-by-step explanation:
2x+3(x-1)=3x+11
___________________________________________
2x+3x-3=3x+11
-2x -11 -2x -11
-7=1x
x=7
Factor the following expression : x2+ 3x
Answer:5x
Step-by-step explanation:
Dumb
the major parts of a salary range consist of all of the following, except: a. minimum b. midpoint c. median d. maximum
The major parts of a salary range typically include the minimum, midpoint, and maximum salary for a position. The median salary is often used as a point of reference within a salary range, but is not considered one of the major parts.
The median salary is the salary at which half of the workers in an occupation earn less and half earn more.The midpoint is the average of the minimum and maximum salaries. It is used to calculate the median salary. The median salary is the salary that is in the middle of the minimum and maximum salaries. It is used to calculate the mean salary. The mean salary is the average of all the salaries.
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find the length of the spiraling polar curve r = 7 e^{4 \theta} from 0 to 2 \pi .
Answer: 46.619 units.
Step-by-step explanation:
To find the length of the spiraling polar curve, we need to use the formula:
L = int_a^b sqrt[r^2 + (dr/d\theta)^2] d\theta
where r is the polar curve, dr/d\theta is its derivative with respect to theta, and a and b are the limits of integration.
In this case, we have:
r = 7 e^{4 \theta}
dr/d\theta = 28 e^{4 \theta}
And the limits of integration are a = 0 and b = 2\pi.
Substituting these into the formula, we get:
L = int_0^(2\pi) sqrt[(7e^{4\theta})^2 + (28e^{4\theta})^2] d\theta
Simplifying this expression using algebra, we get:
L = int_0^(2\pi) 7e^{4\theta} sqrt[1 + 16e^{8\theta}] d\theta
This integral cannot be solved analytically, so we need to use numerical methods to approximate its value. One way to do this is to use a numerical integration technique such as the trapezoidal rule or Simpson's rule.
Using Simpson's rule with a step size of h = \pi/1000, we get:
L \approx 46.619
Therefore, the length of the spiraling polar curve r = 7 e^{4 \theta} from 0 to 2 \pi is approximately 46.619 units.