Answer:
12% commission rate
Step-by-step explanation:
A salesperson earns a commission of $336 for selling $2800 in merchandise find the commission rate:
336 ÷ 2,800 = 0.12
0.12 = 12% commission rate
wich of the following numbers in the datta set is an outlier? data set: 21,23,19,25,83,23, or 21
Answer:
83.
Step-by-step explanation:
An outlier is a number in a data set that stands out from the rest.
Example: 1,2,3,89.
That was a little extreme but in the example you can see that the number isn’t even close to the others, it stands out.
Which is why I came to the conclusion that in the data set, the outlier is 83.
I need help with this question
Let's solve figure by figure
Figure A
This figure has a total of 5 sides, therefore it is a pentagon.
Figure B
This figure has a total of 8 sides, therefore it is an octagon.
Figure C
This figure has a total of 3 sides, therefore it is a triangle.
According to the answer table, it would be
Pentagon: Figure A
Octagon: Figure B
Hexagon: None
What is 29 divided by 5123
Find the additive inverse of each number.
1. 15
2.-27
3. 7/9
4. -9/16
5. 0
Answer:
what level math is this I am not too familiar with it
cook-it food processor has a mean time before failure of 32 months with a standard deviation of 4 months, and the failure times are normally distributed. what should be the warranty period, in months, so that the manufacturer will not have more than 8% of the food processors returned? round your answer down to the nearest whole number.
The warranty period should be 26 months so that the manufacturer will not have more than 8% of the food returned.
In a set with mean μ and standard deviation σ, the z-score of a measure X is given as:
Z = ( X - μ ) / σ
The Z-score calculates the deviation of the measure from the mean in standard deviations. We glance at the z-score table after determining the Z-score to determine the p-value connected to it. The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value. The likelihood that the value of the measure is greater than X is obtained by deducting 1 from the p-value.
Cook-Easy blender has a mean time before failure of 32 months with a standard deviation of 4 months
Therefore,
σ = 4 and μ = 32
The warranty period should be in the 8th percentile.
Therefore, the value of X when Z has a p-value of 0.08, so X when Z = - 1.405.
So,
- 1.405 = ( X - 32 ) / 4
- 1.405 × 4 = X - 32
- 5.62 = X - 32
X = 26.38
X ≈ 26
The warranty period should be of 26 months.
Learn more about standard deviation here:
https://brainly.com/question/475676
#SPJ1
The perimeter of a rectangle can be written as P = 2(L+W). If the length of a rectangle is 4, find the width in terms of P. Show the work that leads to your answer.
Answer:
P = 2(4+w)
P = 8+2w
P-8 = 2w
[tex] \frac{p - 8}{2w} = \frac{2w}{2} [/tex]
[tex] \frac{p - 8}{2} = w [/tex]
) If you invest $2500 in an account that pays 12% interest, compounded quarterly, how much would you
have at the end of 17 years?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &17 \end{cases} \\\\\\ A=2500\left(1+\frac{0.12}{4}\right)^{4\cdot 17}\implies A=2500(1.03)^{68} \implies A \approx 18658.27[/tex]
Answer:
18658.27
Step-by-step explanation:
Josephine was building a community playground. The playground had to be fenced. The perimeter of the fence is 54 feet, and the width of the playground is 12 feet. Use the perimeter formula to find the length of his rectangular yard in inches: P = 2L + 2W. (1 foot = 12 inches)
The length of rectangular yard given its perimeter and width is 300 inches
What is the length?A rectangle is a 2-dimensional quadrilateral with four right angles that sum up to 360 degrees. A rectangle has two diagonals of equal length that bisect each other .
The perimeter of a rectangle is the distance round the rectangle. It is the sum of the length of the four sides of the rectangle.
Perimeter of a rectangle = 2 x (length + width)
54 = 2(l + 12)
54 / 2 = l + 12
27 = l + 12
l = 27 - 12
l = 25 feet
Now, convert feet to inches
25 x 12 = 300 inches
To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029
#SPJ1
In the morning, the temperature in Westfield City was
–
2°F. By afternoon, a north wind caused the temperature to drop another 8°F. What was the afternoon temperature in Westfield City?
To solve the problem, Martin subtracted
–
2–(
–
8) and came up with an answer of 6°F. Is Martin correct? Why or why not?
Martin's answer is wrong. The afternoon temperature in Westfield city is -10°F.
Given,
The temperature in Westfield city in morning = -2°F
The drop down temperature by afternoon = 8°F
We have to find the temperature in afternoon:
Temperature in afternoon = Temperature in morning - Drop down temperature
= -2 - 8 = -10
The afternoon temperature in Westfield city is -10°F
Martin subtracted like:
-2 - (-8) = -2 + 8 = 6
This is wrong.
That is,
We can conclude like:
Martin's answer is wrong. The temperature in Westfield city in afternoon is -10°F
Learn more about temperature here:
https://brainly.com/question/20855720
#SPJ1
use multiplication to show how how many twenty fourths equal 3/6
Using multiplication the number of twenty fourths that equal 3/6 is one tenths
How to find the number of twenty fourths that equal 3/6
let the number of twenty fourths in 3/6 be x
twenty fourths is written mathematically as 20/4
using multiplication the number of twenty fourths in 3/6 is written as
20/4 * x = 3/6
solving the equation gives
20x/4 = 3/6
multiplying both sides by 4 gives
20x = 3/6 * 4
20x = 12/6
20x = 2
dividing both sides by 20 gives
x = 2/20
x = 1/10
Therefore, we can say that the number of twenty fourths in 3/6 is 1/10 or one tenths.
Rad more on fraction multiplication here: https://brainly.com/question/869839
#SPJ1
T is the midpoint of KL¯¯¯¯¯. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.
Using the midpoint formula, the coordinates of L is determined as: (-10, 10).
How to Determine the Coordinates of a Midpoint of a Segment?To find the coordinates of the midpoint of a segment, we have to apply the midpoint formula, which is: (x, y) = [(x2 + x1)/2, (y2 + y1)/2].
Given the following:
K(2,−6) = (x1, y1)L(?, ?) = (x2, y2)T(−4,2) = (x, y) [midpoint]Substitute the given values into the midpoint formula:
(-4, 2) = [(x2 + 2)/2, (y2 + (-6))/2]
(-4, 2) = [(x2 + 2)/2, (y2 - 6)/2]
Solve for x2:
-4 = (x2 + 2)/2
2(-4) = x2 + 2
-8 = x2 + 2
-8 - 2 = x2
x2 = -10
Solve for y2:
2 = (y2 - 6)/2
2(2) = y2 - 6
4 = y2 - 6
4 + 6 = y2
10 = y2
y2 = 10
Therefore, L has the coordinates, (-10, 10).
Learn more about midpoint on:
https://brainly.com/question/5566419
#SPJ1
Timmy has 810 stamps. He wants to organize them on pages that hold 16 stamps each. He has 50 pages. Does he have enough pages to organize all the stamps?
yes Timmy has enough pages to organize all stamps.
Given, we have 810 stamps.
He wants to organize them on pages that hold 16 stamps each.
He has 50 pages.
Therefore, 810 ÷ 16
while dividing we get 50 as the quotient and 10 as the remainder.
Which means 810 stamps are enough for 50 pages, after that 10 more remains.
Hence we get the desired result.
Learn more about Division here:
brainly.com/question/25289437
#SPJ1
Y is inversely proportional to x when Y =16 x=3 when Y =12 x =
Answer:
y=84x
Step-by-step explanation:
Argent please!!
Objects weigh 3 times as much on Earth as they do on Mercury. Write an expression to represent the weight of an object on Earth.
An expression to represent the weight of an object on Earth is y = 3x.
What is an algebraic expression?Variables and constants are used to create algebraic expressions using a variety of techniques.It is a mathematical expression made up of terms and includes variables, constants, and algebraic operations like addition, subtraction, etc.Let the weight of an object on Mercury be x and the weight of an object on Earth be y.
As given objects weigh 3 times as much on Earth as they do on Mercury.
Expression to represent the weight of an object on Earth is,
y = 3x
To learn more about expressions visit:
https://brainly.com/question/15284271
#SPJ13
Factor by grouping
xy-9x-3y+27
The factored expression of the expression given as xy - 9x - 3y + 27 is (x - 3)(y - 9)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to factor the expression by grouping?The expression is given as
xy - 9x - 3y + 27
Factor out the common factor from the expression
So, we have
xy - 9x - 3y + 27 = x(y - 9) - 3(y - 9)
Factor out (y - 9) from the expression
So, we have
xy - 9x - 3y + 27 = (x - 3)(y - 9)
The expression above cannot be further simplified
This means that the expression has been completely factored and cannot be further factored
Hence, the equivalent expression of the expression given as xy - 9x - 3y + 27 when it is factored by grouping is (x - 3)(y - 9)
Read more about expression at:
https://brainly.com/question/723406
#SPJ1
A production process is checked periodically by a quality control inspector. The inspector selects simple random samples of finished products and computes the sample mean product weight. If test results over a long period of time show that of the values are over pounds and are under pounds, what are the mean and the standard deviation for the population of products produced with this process?.
The mean is 2 Pounds and the standard deviation is 0.3340 for the population of products produced with this process
Sampling distributions are sets of data that can depict probability for all feasible samples taken from a population. Every one of these distributions is measured for a specific measure. The sampling distribution of means, for instance, calculates the average value for all feasible samples of a certain size.
Given that:
30 samples are used (n).
X stands for the sample mean weights.
Over 2.1 pounds make up 5% of the x values, while under 1.9 pounds makeup 5%.
Let the mean and standard deviation of the goods produced by this process be the population measurements.
According to the central limit theorem, if the sample size is greater than 30, any population distribution would result in a normal sampling distribution of means.
Let x represent the weights' sample mean.
x ∼ N(μX, σX2)
∼ N(μ, σ / √n)
∼N(μ, σ / √30)
5% of the x values are over 2.1 pounds and 5% are under 1.9 pounds, according to the statistics provided.
Therefore, P(x > 2.1) = 0.05
P [x − μ / (σ / √30) > 2.1 − μ / (σ / √30)] = 0.05
P [Z > 2.1 − μ / (σ / √30) = 0.05 --- (1)
P(x < 1.9) = 0.05
P [x − μ / (σ / √30) > 1.9 − μ / (σ / √30)] = 0.05
P [Z < 1.9 − μ / (σ / √30) = 0.05 --- (2)
The Z-scores that fulfill equations (1) and (2) using the common normal table are:
P(Z < −1.64) = 0.05
P(Z > 1.64) = 0.05 (An assortment of standard normative services)
Equations (1) and (2) are used to compare the values:
2.1 − μ / (σ / √30) = 1.64 ⇒ μ = 2.1 − 0.2994σ -- (3)
1.9 − μ / (σ / √30) = -1.64 ⇒ μ = 1.9 + 0.2994σ -- (4)
Adding the equations (3) and (4) :
σ = 2 − 1.9 / (0.2994) = 0.3340
In light of this, the population's mean weight is 2 pounds, and its standard deviation is 0.3340 pounds.
To know more about Central Limit Theorem, refer to this link:
https://brainly.com/question/24158697
#SPJ9
Which table of ordered pairs represents a proportional relationship?
need help ASAP!!
Answer:
Table 3 represents a proportional relationship
============================
Proportional relationship has the form of:
y = kx, where k- coefficient of proportionalityThe value of k should be same for any pair of coordinates:
k = y/xLet's test it for each tableTable 1k = 8/4 = 2k = 11/7 ≠ 2k = 14/10 ≠ 2NoTable 2k = 25/5 = 5k = 49/7 = 7 ≠ 5k = 81/9 = 9 ≠ 5NoTable 3k = 3/6 = 1/2k = 5/10 = 1/2k = 7/14 = 1/2YesTable 4k = 3/6 = 1/2k = 11/8 ≠ 1/2k = 18/13 ≠ 1/2Noa genetic experiment with peas resulted in one sample of offspring that consisted of green peas and yellow peas. a. construct a % confidence interval to estimate of the percentage of yellow peas. b. based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow? question content area bottom part 1 a. construct a % confidence interval. express the percentages in decimal form. enter your response herep enter your response here (round to three decimal places as needed.) part 2 b. based on the confidence interval, do the results of the experiment appear to contradict the expectation that 25% of the offspring peas would be yellow? yes, the confidence interval does not include 0.25, so the true percentage could not equal 25% no, the confidence interval includes 0.25, so the true percentage could easily equal 25%
Null hypothesis : [tex]H_{0} : p=0.25[/tex]
Alternative hypothesis : [tex]H_{a};p\neq 0.25[/tex]
Given : A genetic experiment with peas resulted in one sample of offspring that consisted of 429 green peas and 159 yellow peas.
i.e. p=159/429=0.3706
For 95% level of confidence interval , significance level :
Critical value of z =[tex]Z_{a/2}[/tex]=1.96
Confidence interval for population proportion :
p±[tex]Z_{a/2}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
=0.37±(1.96)[tex]\sqrt{0.37(1-0.37)/429[/tex]
=0.37±0.045687
=0.37±0.05
(0.32, 0.12)
Since 0.25 is not contained in the confidence interval , it means is not reasonable that the true proportion is 0.25 (25%).
learn more about of percentage here
https://brainly.com/question/13372454
#SPJ4
find the sum of the first 16 terms of the arithmetic sequence: 8,11,14,17,20,...
Answer:
S₁₆ = 488
Step-by-step explanation:
the sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
here a₁ = 8 and d = a₂ - a₁ = 11 - 8 = 3 , then
S₁₆ = [tex]\frac{16}{2}[/tex] [ (2 × 8) + (15 × 3) ]
= 8(16 + 45)
= 8 × 61
= 488
I need helped with my math word problem i'm stuck
In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations
The amount spent on a new house exists $ 810,000.
What is meant by algebraic expressions?Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. In mathematics, an algebraic expression is one that was created using integer constants, variables, and algebraic operations (addition, subtraction, multiplication, division, and exponentiation by an exponent that is a rational number).
If n 5, the roots of a degree n polynomial expression, or the solutions of a degree n polynomial equation, may always be expressed as algebraic expressions.
An algebraic solution is what we refer to as a solution to an equation. But if n is greater than five, the Abel-Ruffini theorem asserts that only certain of these equations have algebraic solutions.
Abby spent 1/6 of the lottery on a new car
and 3/4 of the lottery on a new house
Total expenditure = $990,000
a. Let w be the lottery winnings,
then, 1/6 x w + 3/4 x w = $990,000
b. ⇒ w/6 + 3w/4 = $990,000
simplifying the above equation, we get
⇒ (2w + 9w)/12 = $990,000
⇒ 11w = 12 x $990,000
⇒ w = 12 x $990,000/11
⇒ w = 12 x 90,000
⇒ w = $1,080,000
Therefore, the lottery winnings = $1,080,000
Amount spent on a new car = 1/6 x $1,080,000 = $ 180,000
Amount spent on a new house = 3/4 x $1,080,000 = $ 810,000
To learn more about algebraic expressions, refer to:
https://brainly.com/question/953809
#SPJ13
A cord of wood is a pile 8 feet long, 4 feet wide, and 4 feet high. Find the volume of a cord of wood.
128 feet³ is the volume of a cord of wood.
What is volume in maths?
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."l = 8 feet
b = 4 feet
h = 4 feet
volume of a cord of wood = l × b × h
= 8 × 4 × 4
= 128 feet³
Learn more about volume
brainly.com/question/13338592
#SPJ10
Using the formula r=d/t, where d is the distance in miles, r is the rate, and t is the time in hours, at which rate must you travel to cover 227.5 miles in 3.5 hours?
Answer: 35 mile/hour
Step-by-step explanation:
[tex]r=\frac{d}{t}[/tex]
∴ [tex]r=\frac{227.5}{3.5}=65[/tex]
= 65 mile/hour
4-2(3-7)+16 divided 4
PLEASE HELPP
Answer:
7
Step-by-step explanation:
3-7=(-4), -2*(-4)=8, 4+8+16=28, 28/4=7
A store sells 213 bottles of water every day in the month of march. march has 31 days. how many bottles of water does the store sell in the month of march?
Using multiplication, we know that 6,603 bottles of water were sold in march by the store.
What is Multiplication?When you take a single number and multiply it by several, you are multiplying.213×31=6,603The simplest way to start teaching multiplication is to establish the relationship between the concept and addition, which your pupils should already be familiar with. Make sure your students understand the first principle of multiplication—that it is just repeated addition—before continuing on.Multiplication's characteristics. Commutative Multiplication Property.
Associative Multiplication Property.Multiple's distributive properties.Multiplication's identity property.So, bottles of water the store sells in march:
213 × 31 = 6,603Therefore, using multiplication, we know that 6,603 bottles of water were sold in march by the store.
To learn more about Multiplication refer to:
brainly.com/question/10873737
#SPJ4
Evaluate. [4.2−3(2.1)] + 1 (-0.2)² What is the value of the expression? Enter your answer as a decimal in the box.
On evaluating the value of the expression [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .
In the question ,
the expression is given as
[4.2−3(2.1)] + 1 (-0.2)²
the value of (-0.2)²= (-0.2)*(-0.2)
= 0.04
Substituting the value of (-0.2)² in expression , we get
=[4.2−3(2.1)] + 1*0.04
=[4.2−3(2.1)] + 0.04
Solving the terms inside [ ] , we have
multiplying 3 with 2.1 we get
3*2.1= 6.3
Substituting it in the expression above we get
= [4.2−6.3] + 0.04
Simplifying further , we get
= -2.1 + 0.04
= -2.06
Therefore , on evaluating the value of the expression [4.2−3(2.1)] + 1 (-0.2)² is -2.06 .
Learn more about Expressions here
https://brainly.com/question/13961297
#SPJ1
Answer:
Step-by-step explanation:
The answer is -2.06.
hope you get a good grade!!!
Aaliyah is preheating her oven before using it to bake. The initial temperature of the
oven is 70° and the temperature will increase at a rate of 20° per minute after being
turned on. What is the temperature of the oven 14 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Answer:
It is 350°
Step-by-step explanation:
14*20°=280
280° x 70°= 350°
Answers:
What is the temperature of the oven 14 minutes after being turned on?
70 = initial temp
20 = degrees per minute
70 + 20t = ??
70 + 20(14) = 350
What is the temperature of the oven t minutes after being turned on?
The temperature of the over per minute is represented by the expression 70 + 20t, when t = the minutes after being turned on
4 - 1 1/2 please help I’ll put a lot of points
(03.06 LC)
Choose the equation below that represents the line that passes through the point (-2,-1)
and has a slope of 5.
The line that passes through the point (-2,-1) and has a slope of 5. The equation of the line is y + 1 = 5(x + 2).
What is slope of a line?
A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.
Using the slope and 1 point format: (y- y₁) = m(x - x₁)
where m = slope = 5, and point is (x₁, y₁). In this case point (x₁, y₁) = (-2, -1)
x₁ = -2, y₁ = -1
Using: (y- y₁) = m(x - x₁)
y - -1 = 5(x - -2)
y + 1 = 5(x + 2).
To learn more about slope refer to:
https://brainly.com/question/3493733
#SPJ13
100 identical muffins have a total mass of 5802 g.
What is the mass of each muffin?
Give your answer in grams (g).
The mass (in grams of each muffin out of the 100 muffins is 5802 g
How to find the mass in grams, of each muffingiven data
number of identical muffins = 100
Total mass of muffins = 5802 g
Deductions from the question
The statement means that the masses of each muffin is added to 5802 g. since the muffins are identical they have same masslet each muffin have a mass of x such that
100 * x = 5820
100x = 5802
x = 5802 / 100
x = 58.02
Therefore the mass of each muffin is 58.02 g. and this results to mass of 100 muffins being 5802 g
Read more on multiplication and division here: https://brainly.com/question/4721701
#SPJ1
what is the mean of 7,5,9,5,12?
Answer: 190
Step-by-step explanation:
you add all the numbers and by adding all these numbers i got 38 then u take the amount of numbers you had and multiply is of in this case it was 38x 5
Answer:
7.6
Step-by-step explanation:
How do you find the mean?
1. Add all values in your data
2. Divide the sum by how many numbers there are.