Here is the basic salary-to-hourly formula for this method: First, divide the employee’s annual salary by 52 weeks (the number of weeks in a year). Divide the weekly wages by 40 hours.
A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (3x − 5) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 6 inches.
The polynomial that describes the area of the stone is: 3x² - 5x
Area of the stone with a base length of 6 in. is: 78 sq. in.
What is the Area of a Parallelogram?Area of Parallelogram = base length × height
Given the following:
Base length = x in.Height = (3x - 5) in.Area of the parallelogram-shaped stone = x(3x - 5) = 3x² - 5x
To find the area of the stone with a base length (x) of 6 inches, substitute x = 6 into 3x² - 5x:
Area = 3(6)² - 5(6) = 78 sq. in.
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The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18. determine the number of students who scored between 200 and 245
If the probability will be 0.7842. Then the number of students who scored between 200 and 245 will be 941.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18.
Then the number of students who scored between 200 and 245 will be
Then the z-score for x = 200
[tex]z = \dfrac{200-225}{18}\\\\z = -1.389[/tex]
Then the z-score for x = 245
[tex]z = \dfrac{245-225}{18}\\\\z = 1.1111[/tex]
Then we have
[tex]\begin{aligned} P(-1.39 < z < 1.11) &= P(z < 1.11) - P(z < -1.389)\\\\&= P(z < 1.11)- [1-P(z > -1.389)] \\\\&=0.8665 - (1-0.9177) \\\\&=0.7842 \end[/tex]
Then the number of students who scored between 200 and 245 will be
→ 0.7842 × 1200
→ 941.04 ≅ 941
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What's the importance of statistics in real life
Answer:
Statistics are incredibly important in real life. For example, we use statistics for weather forecasting. Probability (which is a form of statistics) is used by weather forecasters to figure out how likely it is that there will be rain, snow, sun, etc. on a given day in a certain area.
Step-by-step explanation:
'*•.¸♡ hope i helped, have a great day ♡¸.•*'
A piece rate worker is paid _____.
Answer:
The answer is on the quantity they produce per hour.
Step-by-step explanation:
If they produce more, they will be paid more, based on the rate per finished item
PLEASE HELPPP!!!!
Which of the following is the best buy?
3 lb. for $5.13
2 lb. for $3.37
3.25 lb. for $5.53
1.5 lb. for $2.52
Answer:
3.25\
Step-by-step explanation:
Answer:
$2.52
Step-by-step explanation:
u have to at the lb. and the $ and which will give u more for a less price so we x out $5.53 and then 5.13.now all you have left is 2.52 and 3.37 and 3.37 is more than 2.52 and 2 lb. is more ik but u save more money by buying 1.5 lb.
hope this helps:)!!
The water usage at a car wash is modeled by the equation w(x) = 3x3 4x2 − 18x 4, where w is the amount of water in cubic feet and x is the number of hours the car wash is open. the owners of the car wash want to cut back their water usage during a drought and decide to close the car wash early two days a week. the amount of decrease in water used is modeled by d(x) = x3 2x2 15, where d is the amount of water in cubic feet and x is time in hours. write a function, c(x), to model the water used by the car wash on a shorter day. c(x) = 2x3 2x2 − 18x − 11 c(x) = 3x3 2x2 − 18x 11 c(x) = 3x3 2x2 − 18x − 11 c(x) = 2x3 2x2 − 18x 11
A function, c(x), that models the water used by the car wash on a shorter day is C(x) = 4x³ + 7x² − 14x - 6
Calculations and Parameters:Given:
The amount of water used in normal days:
W(x) = 5x³ +9x²-14x +9 -----(i)The amount of decrease in water used is modeled by the equation;
D(x)= x³+2x² +15--------(ii)To find the function C(x), we would have to subtract eq(ii) from eq(i)
5x³ +9x²-14x +9
- x³+2x² +15
= C(x) 4x³+7x²-14x-6
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If mary paid $20.44 for 7.3 pounds of strawberries, what was the price of 1
pound of strawberries? do not include $ in
Answer:
2.80
Step-by-step explanation:
20.44 / 7.3 = 2.8
Brainliest please
Find its Surface Area 5 m 7 m 3 m 4 m
Answer:
D. 96 m²
Step-by-step explanation:
The surface area of a triangular prism is the sum of the areas of all of the faces. A triangular prism has two triangular faces (bases) and three rectangular faces.
__
rectangular facesThe dimensions of the rectangular faces are such that they can be considered together as a rectangle whose width is the distance between the triangular faces, and whose length is the perimeter of the triangle. For this prism, that is a 7 m width and a (3+4+5) = 12 m length.
triangular facesThe two triangular faces together have an area that is equal to that of a rectangle with the same base and height as the triangular face. For this prism, that is a 3 m base and a 4 m height.
totalThe total surface area is ...
lateral area + base area = (7 m)(12 m) +(3 m)(4 m) = (84 +12) m²
surface area = 96 m²
_____
Additional comment
The formula for the area of a triangle is ...
A = 1/2bh
A triangular prism has two congruent triangular faces, so their total area is ...
A = 2(1/2bh) = bh
We elected to skip the halving and doubling, and go straight to the total base area.
Find the equation of the line that passes through the points:(2, 2) and (3, 4)
Answer:
y=2x-2
Step-by-step explanation:
the slope of the two points can be found using rise over run which would be 4/2 and that equals 2. then you have to pout the y intercept.
30-32 sketch the region enclosed by the given curves and find its area.
31. [tex]y=\cos ^{2} x \sin x, \quad y=\sin x, \quad 0 \leqslant x \leqslant \pi[/tex]
Check the picture below.
so hmmm for the sake of completion, let's check where they intersect
[tex]cos^2(x)sin(x)=sin(x)\implies cos^2(x)sin(x)-sin(x)=0 \\\\\\ sin(x)[cos^2(x)-1]=0\implies \begin{cases} sin(x)=0\\ cos^2(x)-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ sin(x)=0\implies x=sin^{-1}(0)\implies \boxed{x=0} \\\\[-0.35em] ~\dotfill\\\\ cos^2(x)-1=0\implies cos^2(x)=1\implies cos(x)=\sqrt{1} \\\\\\ cos(x)=1\implies x=cos^{-1}(1)\implies \boxed{x=\pi}[/tex]
now, notice, in the picture the function that is "above" or the "ceiling" function is the sin(x), so we'll get the area under the curve by using "above" - "below" functions.
[tex]\stackrel{above}{sin(x)}~~ - ~~\stackrel{below}{cos^2(x)sin(x)} \implies sin(x)-[1-sin^2(x)]sin(x) \\\\\\ sin(x)-[sin(x)-sin^3(x)]\implies ~~\begin{matrix} sin(x)-sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ +sin^3(x)\implies sin^3(x)[/tex]
now let's use the triple angle identity of sine
[tex]\stackrel{\textit{triple angle identity}}{sin(3x)=3sin(x)-4sin^3(x)}\implies 4sin^3(x)=3sin(x)-sin(3x) \\\\\\ sin^3(x)=\cfrac{3sin(x)-sin(3x)}{4}\implies sin^3(x)=\cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{\pi }~sin^3(x)dx\implies \int\limits_{0}^{\pi }~\left[ \cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \right]dx[/tex]
[tex]\displaystyle \cfrac{3}{4}\int\limits_{0}^{\pi }sin(x)dx-\cfrac{1}{4}\int\limits_{0}^{\pi }sin(3x)dx\implies \left. \cfrac{3}{4} \cdot -cos(x) \right]_{0}^{\pi }-\left. \cfrac{1}{4} \cdot \cfrac{-cos(3x)}{3} \right]_{0}^{\pi } \\\\\\ \cfrac{3}{2}~~ - ~~\cfrac{1}{6}\implies \implies \blacktriangleright \cfrac{4}{3} \blacktriangleleft[/tex]
loni cut a loaf of banana bread into equal pieces.Over the week, her brother eats 2/6 of the loaf, and Loni eats 3/6 of the loaf
On a coordinate plane, an exponential function decreases from quadrant 2 into quadrant 1 and approaches y = 0. it crosses the y-axis at (0, 4). what is the initial value of the exponential function shown on the graph? 0 1 2 4
Answer:
its 4
Step-by-step explanation:
trust me bro im a geinus
The initial value of the exponential function shown on the graph should be 4.
What is an exponential function?The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable in the exponent and the real number in the base.
In this case, the exponential function is:
F(X)=Y
Knowing that the given points correspond to X=0 and Y= 4, when placing in the formula of the function, one finds:
F(0)=4
F(4)=0
So, the initial value of the exponential function shown on the graph should be 4.
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The diameter of a cylindrical construction pipe is 3 ft. If the pipe is 12 ft long,
what is its volume?
Use the value 3.14 for π, and round your answer to the nearest whole
number.
Be sure to include the correct unit in your answer.
Work Shown:
d = 3 = diameter
r = d/2 = 3/2 = 1.5 = radius
h = 12 = height or length of the pipe
pi = 3.14 approximately
V = volume of the cylinder pipe
V = pi*r^2*h
V = 3.14*(1.5)^2*12
V = 84.78
V = 85
The cylindrical pipe's volume is about 85 cubic feet.
davion bought a new controller for $32. he also bought a stuffed elephant for his brother. he paid everything with 4 twenty dollar bills.if he got $18 back in change how much did the stuffed animal cost?
Answer:
$30
Step-by-step explanation:
First we will find how much money Davion paid with.
4 * $20 = $80
Now we can find how much the stuffed animal cost using the controller cost and change received.
Let x be the cost of the stuffed animal
80 = 32 + 18 + x
80 = 50 + x | subtract 50 from both sides
30 = x
This means the stuffed animal cost $30.
That is your answer
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A spinner is divided into 15 identical sectors and labeled 1 through 15.
How many spins are expected for a multiple of 4 to be spun 30 times?
Select from the drop-down menu to correctly complete the sentence
The spinner is expected to have to spin approximately Choose times for a multiple of 4 to be spun 30 times.
A. 113
B. 120
C. 150
D. 225
PLEASE ANSWER 50 POINTS+ BRAINLIEST
Discussion Topic
What do you know about statistics and data? What do you think a measure of center for a data set would be? What do you think a measure of variation for a data set would be?
Write an example of a situation for which you would like to analyze the statistics. Think of the types of graphs you are familiar with. Do you think the data from the situation you came up with would look good on one of the graphs?
data are individual pieces of factual information recorded and used for the purpose of analysis
What do you think a measure of center for a data set would be?Median and IQR
What do you think a measure of variation for a data set would be?The most common measures of variability are the range, the interquartile range (IQR), variance, and standard deviation.
Write an example of a situation for which you would like to analyze the statistics. Think of the types of graphs you are familiar with. Do you think the data from the situation you came up with would look good on one of the graphs?Learn with an example
or
Watch a tutorial
When Abigail had one cat, she needed to serve 2 cans of cat food each day. Now that Abigail
has adopted a second cat, she needs to serve a total of 3 1/2 cans each day. How much extra
food is needed to feed the second cat?
Write your answer as a fraction or as a whole or mixed number.
cans
Based on the information provided, to feed the second cat it is necessary 1 1/2 extra cans or 1.5 cans.
How much extra food is needed to feed the second cat?This difference can be found by substracting the total cans fed with only one cat to the total fed with two cats:
3 1/2 cans - 2 cans = 1 1/2 cans, which can also be expressed as 1.5 cans.Based on this, to have a second cat implies 1.5 extra cans.
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If rosetta sells her house and pays off the mortgage, how much should she receive (assuming there are no other costs associated with selling the house)? $42,000 $50,000 $52,000 $60,000
Based on the amount that Rosetta sells her house and the mortgage she had before she did, the amount she will recieve is $50,000.
How much will Rosetta receive?Rosetta owes a total of $150,000 for her mortgage payment and was able to sell the house for $200,000.
This means that the amount she will recieve is:
= Selling price - Mortgage
= 200,000 - 150,000
= $50,000
In conclusion, option B is correct.
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Answer:
B. $50,000
Step-by-step explanation:
1-4) Choose Yes or No to tell if the fraction 3/4 will make each equation true. (You are putting the 3/4 in each blank and multiplying to see if it will give you the product given.)
Which is the slope of the line that passes through the points (-3, 1) and (4, -2)?
2 angles that are supplementary are always linear pair true or false?
Answer: true
Step-by-step explanation: The answer is true. As a linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.
Answer:
true
Step-by-step explanation:
Write the Inequality shown in the diagram below
Answer:
-1 ≤ x < 3
Hope this helps ;)
Which equation represents a linear function?
Answer:
y = x-3
step by step explanation:
The equation of a linear function has no exponents higher than 1
I REALLY NEED HELP PLSSSSSSS
Answer:
Quick answer, C. 7 units!
Which step requires revision, and how should it be corrected?
OA. In step 1, the compass width should be set to the length of BC.
B.
In step 2, the fixed part of the compass should be placed at point C.
O. C.
In step 3, the fixed part of the compass should be placed at point C.
OD.
In step 4, it should say to complete step 3 six more times.
The step that requires revision is step 1: set the compass width to the diameter of the circle
How to determine the error in the steps?When a regular hexagon is to be inscribed in a circle, the first step is to place the compass on the circumference of the circle and create an arc.
On no occasion should the width of the compass equal the diameter of the circle.
The step 1 in the question shows that the compass width is set to the diameter of the circle.
This is wrong, and it needs to be revised.
Hence, the step that requires revision is step 1 and the correction is (a) In step 1, the compass width should be set to the length of BC.
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What is the volume of a sphere with a diameter of 10 m, rounded to the nearest tenth of a cubic meter?
[tex]\rule{300}{1} \\ \diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
What is the volume of a sphere with a diameter of 10m, rounded to the
nearest tenth of a cubic metre (m³)?
[tex]\diamond\large\textsf{\textbf{\underline{Answer and How to solve:-}}}[/tex]
[tex]\it{Volume\:of\:a\:sphere:-}[/tex]
[tex]\longmapsto\sf{V=\dfrac{4}{3} \pi r^3}[/tex]
[tex]\bold{\underline{Where:-}}[/tex]
V=Volumeπ = pi r=radius
Provided information:-
diameter = 10 m
What we need in order to find the Volume:-
radius
How to find the radius if we have the diameter?
Since the radius is exactly one-half of the diameter, we divide the diameter by 2:-
[tex]\bold{r=d\div2}[/tex]
Replace d with 10:-
[tex]\bold{r=10\div2}[/tex]
Therefore, the radius of the sphere is
[tex]\bold{r=5}[/tex][tex]\rule{300}{1}[/tex]
✓ Now we have all the required information in order to find the volume of the sphere.
✳︎Substitute 5 in lieu of r:-
[tex]\bold{V=\dfrac{4}{3} \pi (5)^3}[/tex]
➪On simplification,
[tex]\bold{V=\dfrac{4}{2} \pi (125)}[/tex] ◈ Next, write the value of π (3.14…)
[tex]\bold{V=\dfrac{4}{3}\times3.14\times125}[/tex]
On further simplification,
[tex]\bold{V=\dfrac{4}{3} \times392.5}[/tex] Final Step:- Multiply the numbers.
[tex]\bold{V=523.3\:m^3}[/tex]
The answer has been rounded to the nearest tenth (one place after the decimal point)
Therefore, we conclude that the volume of the sphere is
[tex]\bold{V=523.3\:m^3}[/tex]
Good luck with your studies.[tex]\rule{301}{1}[/tex]
A recipe for bread uses 5 cups of white flour and 3 cups
of wheat flour. How many more cups of white flour than
wheat flour are used in the recipe? Write an equation and
complete the bar diagram to solve.
Find the slope between the two given points:
5. (3,4) and (6,7) 6. (-2,-6) and (-1,-4)
Please show Work Due Tommorow!!!!
I will give brainiest if it's right
Answer:
5.1 6.2
Step-by-step explanation:
5.y2-y1/x2-x1
7-4/6-1=1
6.y2-y1/x2-x1
-4+6/-1+2=2
Use the binomial formula to find the coefficient of the q22p² term in the expansion of (q-2p)24.
7
X
Ś
?
GIVING BRAINLIEST!!!!!
Step-by-step explanation:
144 degree is right answer.
Answer:
144°
Step-by-step explanation:
The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.
From B to D, it requires 2 rotations.
Rotation angle needed = 72° × 2Rotation angle needed = 144°