Answer:
58,330.5
Step-by-step explanation:
To get the mean of something, you add all the numbers then divide it by the number of things added. I added them all, then divided by 4 to get 58,330.5
Hope this helps GL on the rest of your Khan Academy! :)
Answer:
The correct answer is 8
Step-by-step explanation:
Solve the system of equations. x+y=2 and y=-1/4x²+3
Answer:
2 solutions:
(-2.899, 0.899) and (6.899, -8.899)
Step-by-step explanation:
x+y=2
y=-x+2
y=1/4x²+3
Graph both equations into graphing calculator
Graph in attachment shows solutions
What is the measure (in radians) of central angle theta in the circle below? enter an exact expression.
Answer:
Measure of central angle is 3.665 radians
Step-by-step explanation:
In this question, we are trying to get the value of the central angle.
As we can see, the radius of the circle is 12cm while the length of the major arc is 14 pi cm.
Mathematically the length of an arc is calculated as follows;
Length of arc = theta/360 * 2 * pi * r
Plugging the values we have from the question;
14 pi = theta/360 * 2 * pi * 12
divide both sides by 2pi
7 = theta/360 * 12
360 * 7 = 12 theta
theta = (360 * 7)/12
theta = 210
Since 1 degree = pi/180 radian
it means 210 degrees = 210 * pi/180 = 3.665 radians
Answer:
[tex]\frac{7\pi }{6}[/tex]
Step-by-step explanation:
Khan Academy
which statement is true about the value of /-5/
Answer:
-Absolute value is a measure of distance. 5 is in fact 5 units from 0 on the number line, just like +5. Its all about distance, and there are 2 things in math that will NEVER be negative...distance/length and time.
Step-by-step explanation:
Answer:
5.
Step-by-step explanation:
The absolute value measures the distance from 0. In this case, since the number is -5, the absolute value will be 5 since -5 is 5 units away from 0.
Hope this helps!
What percent of discount should be given in a doll costing Rs 180
such that a customer can buy at Rs 160?
Answer:
11.11%
Step-by-step explanation:
So the question is:
$180 * (x)% = $y
Therefore $180 - $y = $160
Now:
180 - 160 = 20
Therefore; $20 is the discount
Now per cent of discount:
20/180 * 100 = 11.111111111111111111111%
therefore: per cent of discount is 11.11% (rounded to two decimal place)
Answer:
11.11 %
Step-by-step explanation:
Costing Price = Rs 180
Selling Price = Rs 160
Discount = C.P - S.P
=> 180-160
=> Rs 20
In %age:
=> [tex]\frac{20}{180} * 100[/tex]
=> 11.11 %
Two circles have radii of 4 units and 6 units. What is the radius of a circle whose area is equal to the sum of the areas of the two given circles?
Answer:
Step-by-step explanation:
We that the area of a circle is Pi times r^2 where r is the radius
Let A be the area of the first circle and S the area of the second one and T the total one
A=4^2× Pi
S=6^2× Pi
T = Pi( 4^2 +6^2)
= Pi ( 16+36) = Pi× 52
52 is the radius square
So r = root square 52 = 2 root square 13
Problem
Hudson (3 feet tall) is on the beach flying a kite. His angle of elevation looking up to the kite is 40°. The kite
string is 125 ft long. How high is the kite off the ground?
Solution:
We are given the reference angle of 40° and the hypotenuse (125 ft) and asked to find the opposite side, how
high the kite is from the ground. We need to use the sine ratio. Let's set up our ratio first.
Sin
40
= x/ 125
Solve for a rounding to the nearest tenth.
2=
3
This represents the height of the kite from Hudson. In order to find the height of the kite, we must add the
Hudson's height (3 ft).
So, the kite is 6
ft. above the ground.
Check
The answers are not 80 and 83. I have tried that.
Answer:
83.3 ft tall
Step-by-step explanation:
[tex]sin(40) = \frac{x}{125} \\x = 125 * sin(40)\\x = 80.34845[/tex]
Round to 80.3 and add Hudson's height
80.3 + 3 = 83.3ft tall
The kite is approximately 83.35 feet above ground.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
To solve for height h, we will use sine as sine related opposite side of a right triangle with hypotenuse.
Sin = opposite side / hypotenuse
Sin 40 = x/ 125
x = Sin 40 (125)
x = 125 (0.642)
x = 80.3
In order to find the height of kite off the ground, we will add the height of Hudson to 80.35 feet as well as he is flying the kite.
80.3 + 3 = 83.3 ft tall
Hence, the kite is approximately 83.35 feet above ground.
Learn more about trigonometric;
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A soccer ball is made of 32 pieces of leather: white hexagons and black pentagons. Each black piece borders only with white pieces, each white piece borders with three black pieces and three white pieces. How many black pieces are needed to manufacture the ball?
Answer:
The number of black pieces needed to manufacture the ball is 11 black pieces
Step-by-step explanation:
Given that the number of pieces in the soccer ball = 32 pieces
The shape of the white piece = Hexagon
The shape of the black piece = Pentagon
Each black piece borders with only white pieces
Each white piece borders with three black pieces and three white pieces
For the first black pie piece is borders to 5 white pieces total 6 pieces
Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece
Each black piece holds one white piece to add extra 5 pieces to make the total = 26
At the outermost shell of the arrangement, each of the white piece attached to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,
The last piece is white
Total black piece = 1 + 5 + 5 = 11 black pieces.
What is the slope of the line that goes through the points (1, -5) and (4, 1)
Answer:
D) 2
Step-by-step explanation:
Use the following slope formula:
m (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (4 , 1)
(x₂ , y₂) = (1 , -5)
Plug in the corresponding numbers to the corresponding variables:
m = (-5 - 1)/(1 - 4)
Simplify. Remember to follow PEMDAS. First subtract, then divide:
m = (-5 - 1)/(1 - 4)
m = (-6)/(-3)
m = 2
D) 2 is your answer.
~
Can anyone pls solve this.
Answer:
3) [tex]\frac{(25)^{3/2} * (243)^{3/5}}{(16)^{5/4}*(8)^{4/3}}[/tex]
=> [tex]\frac{(5^2)^{3/2}*(3^5)^{3/5}}{(2^4)^{5/4}*(2^3)^{4/3}}[/tex]
=> [tex]\frac{5^3*5^3}{2^5*2^4}[/tex]
=> [tex]\frac{5^6}{2^9}[/tex]
4) [tex]\frac{3-2\sqrt{2} }{3+2\sqrt{2} }[/tex]
Multiplying and dividing by conjugate [tex]3-2\sqrt{2}[/tex]
=> [tex]\frac{(3-2\sqrt{2})(3-2\sqrt{2}) }{(3+2\sqrt{2})(3-2\sqrt{2})}[/tex]
=> [tex]\frac{9-6\sqrt{2}-6\sqrt{2} +8 }{9-8}[/tex]
=> [tex]\frac{17-12\sqrt{2} }{1}[/tex]
=> [tex]17-12\sqrt{2}[/tex]
Comparing it with [tex]a+b\sqrt{2}[/tex], we get
a = 17, b = -12
helllllllllllllllllpppppp meeeeeeeeeeee please i really need this Sabastian wanted to compare how much time his neighbors spend on the Internet to how much mail they receive in a week. He gathered data by surveying his neighbors. [ NOTE: He gathered data, so He Has it Already, do not go back in time...] Explain the steps Sabastian should take in order to analyze the data.
Answer:
Step-by-step explanation:
Step 1: Create a Survey
Step 2: Administer the Survey
Step 3: Collect responses.
Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.
Step 5: Analysis
Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?
The step to analyze the collected data include plotting the data on an histogram
How to determine the steps?From the question, we understand that the data has already been gathered.
The next step is to analyze the collected data.
This can be done in several ways.
One of them is as follows:
Sort the data in ascending orderDetermine the mean, median, mode and rangeDetermine the standard deviation and variancePlot the data on a chart (e.g. histogram)Read more about data analysis at:
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Pls help me with trig! i would rlly appreciate
Answer:
c≤
Step-by-step explanation:
hypotenuse=√(a²+b²)=√(5²+6²)=√(25+36)=√61
cosθ=5/√61=5/√61× (√61/√61)=5√61/61
Answer:
[tex]6 \sqrt{61} \div 61[/tex]
is ans
Step-by-step explanation:
given, a=5 and b=6
as the refrence angle is thit
p=6 and b= 5
[tex]now \: h \: = \sqrt{p {}^{2} + b {}^{2} } [/tex]
[tex] = \sqrt{6 { }^{2} + 5 {}^{2} } [/tex]
[tex] \sqrt{61} = [/tex]
therefore h
[tex] = \sqrt{61} [/tex]
now cos thita =b/h
therefore cos thita=
[tex]6 \sqrt{61} \div 61[/tex]
...is ans..
A paper cup is a perfect cylinder that is 6.4 cm tall and 3 cm across. Find the total area of paper needed to make the cup, to the nearest square centimeter.
Hey there! I'm happy to help!
We want to find how much paper we need to make the cup. So, we need to find the surface area of the cylinder, which is basically the "walls and floors" of the cup. So, this is the circle on the bottom and the surrounding stuff that goes up. There is no circular top to this cup, which will be important when finding the total area of paper.
So, first we need to find how much paper we need to make the bottom circle. The formula for the area of a circle is A=πr². This r represents the radius, or the distance from the center of the circle to the edge. We are given that the cup is 3 cm completely across, and the radius is be half of that, so the radius is 1.5 cm. Let's find the area. We will use 3.14 for π.
π×1.5²=7.065
Now, we need to find the area of the walls of the cup. The wall is a rectangle that is basically wrapped around the circle. The height of the rectangle is the height of the cup and the length of the rectangle is the circumference (perimeter) of the bottom circle because the length of the rectangle wraps completely around the circle.
First, let's find the circumference of the circle. The circumference is the diameter (distance across the circle, so 3 cm) multiplied by π. We will use 3.14 for π.
3π=9.42
So, this means that the long side of the rectangle is 9.42 cm, and now we multiply this by the height.
9.42×6.4=60.288
Now, we add the rectangle area and the bottom circle area.
60.288+7.065=67.353
But, they want us to round to the nearest centimetre, so we will just say 67 square centimetres.
An important thing to note is that this is not the area of a normal cylinder (one with a top and a bottom circle) because it is a cup so it does not have a top. If you have a cylinder with a top and a bottom, you would just multiply the area of the circle by two, so then you have the top and bottom. If that were the case, the area of our cylinder would be 74 cm with the numbers we have been given here.
Have a wonderful day!
Suppose babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036. 1118 babies are sampled at random from the hospital what is the probability that the mean weight of the sample babies would be greater than 3412 gram answer to four decimal places Round your
Answer: 0.0009
Step-by-step explanation:
Given : Babies born in a large hospital have a mean weight of 3366 grams, and a variance of 244,036.
i.e. [tex]\mu=3366[/tex] and [tex]\sigma^2 = 244036\Rightarrow\ \sigma= \sqrt{244036}=494[/tex]
Sample size = 1118
Let [tex]\overline{X}[/tex] be the sample mean weight of babies.
Then, the probability that the mean weight of the sample babies would be greater than 3412 gram:
[tex]P(\overline{X}>3412)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{3412-3366}{\dfrac{494}{\sqrt{1118}}})\\\\=P(Z>\dfrac{46}{14.7743})\ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\\approxP(Z>3.11)\\\\= 1-P(Z<3.11)\\\\=1-0.9991=0.0009[/tex]
Hence, the required probability = 0.0009
Factor 10x2 − 17x + 3.
Answer:
(2x-3)(5x-1)Solution,
[tex]10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)[/tex]
Hope this helps..
Good luck on your assignment...
Which diagram shows lines that must be parallel lines cut by a transversal? 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees and the bottom right angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the top right angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 115 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the uppercase left angle is 65 degrees and the bottom right angle is 65 degrees.
Answer:
(A) At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.
Step-by-step explanation:
Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)
_____
Comment on orientation
If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.
Answer:
(A) the first diagram
Step-by-step explanation:
A metalsmith is mixing two molten metals, each containing different percentages of silver. The table shows the amount of each molten metal used. Which two expressions are both equivalent to t, the total number of grams of silver in the mixture?
A: (15)(0.75) and 0.7(15 – x) + 0.9x
B: (15)(0.75) and 0.7(15 – x)(0.9x)
C: 15 + 0.75 and 0.7(15 – x) + 0.9x
D: 15 + 0.75 and 0.7(15 – x)(0.9x)
Answer:
(15)(0.75) and 0.7(15 – x) + 0.9x
Step-by-step explanation:
I did that assignment.
Answer:
its A
Step-by-step explanation:
23. A 340 million square mile forest is how many hectares?
Answer: in 340 million square miles there are 8.808 x 10^10 hectares
Step-by-step explanation:
help plz. I will give brainliest (:
Answer:
f(2)=g(0) and f(0)=g(4)
3rd option for the second pic
Una importadora planea sus gastos para realizar la importación de 12 000 hasta 60 000 piezas de auriculares con aranceles y sin ellos. El precio de los auriculares antes del primero de septiembre de 2019 es de 96$ contemplando gastos de importación; el arancel de impuesto a ese producto es de 10%. Determina la expresión algebraica para modelar la compra de auriculares, indica si es una proporción directa o inversa.
Answer:
La expresión algebraica que representa la compra de los auriculares es [tex]c = 105.6\cdot n[/tex], existe una proporcionalidad directa.
Step-by-step explanation:
Existe un proporcionalidad directa, pues el coste total de importación aumenta conforme aumenta la cantidad de auriculares a importar. Esto es:
[tex]c \propto n[/tex]
[tex]c = k\cdot n[/tex]
Donde:
[tex]n[/tex] - Cantidad de auriculares a importar, adimensional.
[tex]c[/tex] - Coste total de importación, medido en pesos.
[tex]k[/tex] - Constante de proporcionalidad, medido en pesos.
La constante de proporcionalidad es igual al coste unitario del auricular más el impuesto de arancel, es decir:
[tex]k = 1.10\cdot (\$\,96)[/tex]
[tex]k = \$\,105.6[/tex]
Entonces, la expresión algebraica que representa la compra de los auriculares es:
[tex]c = 105.6\cdot n[/tex]
There are only green pens and red pens in the box.There are three more red pens than green pens in the box.Sheila is going to take at random two pens from the box.The probability that sheila will take two pens of the same colour is 17/35.Work out the two different numbers of green pens that could be in the box.
Answer:
6 or 9
Step-by-step explanation:
Let the number of green pens =x
There are three more red pens, therefore:
The number of red pens =x+3
Total Number of pens =x+x+3=2x+3
The probability that sheila will take two pens of the same color = [tex]\frac{17}{35}[/tex]
Therefore, we have that:
[tex]\text{P(two red pens)}=\dfrac{x+3}{2x+3} \times \dfrac{x+2}{2x+2}\\\\P(RR)=\dfrac{(x+3)(x+2)}{(2x+3)(2x+2)}[/tex]
[tex]P$(two green pens$)=\dfrac{x}{2x+3} \times \dfrac{x-1}{2x+2}\\\\P(GG)=\dfrac{x(x-1)}{(2x+3)(2x+2)}[/tex]
Therefore, the probability that sheila will take two pens of the same color
=P(RR)+P(GG)
[tex]\dfrac{(x+3)(x+2)}{(2x+3)(2x+2)}+\dfrac{x(x-1)}{(2x+3)(2x+2)}=\dfrac{17}{35}\\\dfrac{(x+3)(x+2)+x(x-1)}{(2x+3)(2x+2)}=\dfrac{17}{35}\\[/tex]
Cross multiply
[tex]35[(x+3)(x+2)+x(x-1)]=17[(2x+3)(2x+2)]\\35[x^2+3x+2x+6+x^2-x]=17[4x^2+4x+6x+6]\\35[2x^2+4x+6]=17[4x^2+10x+6]\\70x^2+140x+210=68x^2+170x+102\\70x^2-68x^2+140x-170x+210-102=0\\2x^2-30x+108=0[/tex]
Factorizing, we have:
[tex]2(x-6)(x-9)=0\\x-6=0$ or $x-9=0\\x=6$ or 9[/tex]
Therefore, the two different numbers of green pens that could be in the box are 6 or 9.
PLEASE PLEASE PLEASE HELP ASAP *grade 9 work* best answer gets brainliest :)
Consider this complex fraction. Which division problem is represented in the picture? Two-thirds divided by 3 and one-third 3 and one-third divided by (three-halves) 3 (two-thirds) 3 and one-third divided by 5
Answer:
This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.
Answer:
It is 3 and 1/3 divided by 2/3. None of the choices given work.
Hope it helps <3
a group of 60 adults were surveyed on the ways on how they cope with stress. and the following are the results 34 said they tend to go for a vacation 27 said they would go for a smoke break 41 answered they listen to music 13 tend to go for a vacation and smoke 16 said go for a smoke and listen to music 20 go for a cation and listen to music 28 said two of the coping mechanism how many adults said exactly one of the coping mechanisms
Answer:
The number of adults that said exactly one coping mechanism are 25 adults
Step-by-step explanation:
Total number of adult in the group = 60 adults
The number that go on vacation vacation = 34
The number that go for a smoke break = 27
The number that listen to music = 41
The number that go for a vacation and smoke = 13
The number that smoke and listen to music = 16
The number that go for a vacation and listen to music = 20
The number that said two of the coping mechanism = 28
Set theory
We have;
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)
Given that the following relations;
n(A∪B∪C) = 60
n(A) = 34
n(B) = 27
n(C) = 41
n(A∩B) = 13
n(A∩C) = 20
n(B∩C) = 16
Therefore;
60 = 34 + 27 + 41 -13 - 20 - 16 + n(A∩B∩C)
∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 - 20 - 16) = 7
Given that 28 said exactly 2, we have;
Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3
Total number of respondents = 60
Those that said exactly 2 = 28
Those that said exactly 3 = n(A∩B∩C) = 7
Therefore;
60 = Those that said exactly 1 + 28 + 7
Those that said exactly 1 = 60 - (28 + 7) = 25
Alternatively, we have;
Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C)) + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))
= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25
60 - 28 - 7 = 25
The number of adults that said exactly one coping mechanism = 25.
Which graph has figures that can undergo a similarity transformation to justify that they are similar?
ty
Answer:
it is the second option
Step-by-step explanation:
next,you will make a scatter plot. Name a point that will be on your scatterplot and describe what it represents.
Answer:
(12, 190). This represents that after selling 12 ice creams, I gain $190.
Step-by-step explanation:
I just found a scatter plot online. Ignore the current label on the x-axis that says TemperatureC, I just changed that to ice creams. You can change the title of the graph to whatever you want.
Are rectangles ABCD and WXYZ congruent? Why or why not? Yes, all right angles were preserved. Yes, both rectangles have an area of 24 square units. Yes, a 180° rotation about the origin will map ABCD to WXYZ. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
D. No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Step-by-step explanation:
Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.
Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.
Answer:
it is D just took the test
Step-by-step explanation:
he price of a computer was decreased by 20% to £136.
What was the price before the decrease?
Answer:
The original price is 170
Step-by-step explanation:
Let x be the original price
x* .20 is the decrease
x - .20x = new price
.80x = new price
.8x = 136
Divide each side by .8
.8x/.8 = 136/.8
x =170
The full price is represented by 100%. If this computer was decreased by 20%, so it worth 80% now.
So, we can make a rule of three: 80% value is equals to 136, how much is 100%?
80% ------------ 136
100% ----------- x
Let's multiply "making a x":
[tex]80x = 136\cdot 100\\80x = 13.600\\x = \frac{13600}{80} \\x = 170[/tex]
Therefore, the price before the decrease was £170.
Shelly and Jamie participate in a street relay race. Jamie must run from point B along AB⌢, which represents part of a roundabout, to pass off the baton to Shelly at point A.
If the central angle measures 123∘, and the radius of the roundabout is 50 meters, how many meters must Jamie sprint to reach Shelly?
Use π≈3.14 and round your answer to the nearest meter.
Enter your answer as a number, like this: 42
Answer:
Jamie must sprint 107 meter to pass Shelly at point A.
Step-by-step explanation:
Circumference of a sector of the circle is represented by,
Circumference = [tex]\frac{\theta}{360}(2\pi r)[/tex]
where θ = central angle subtended at the center by an arc
r = radius of the circle
[tex]m(\widehat{AB})[/tex] = [tex]\frac{123}{360}(2\pi )(50)[/tex]
= 34.1667π
= 107.34 meter
≈ 107 meter
Therefore, Jamie must sprint 107 meter to pass Shelly at point A.
The graph shows the function f(x)=2^x.what is the value of x when f(x)=8?
Answer:
The Answer is 6 :)
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
f(x)=2^x
Let f(x) =8
8 = 2^x
Rewriting 8 = 2^3
2^3 = 2^x
The bases are the same so the exponents are the same
3=x
Find the simple interest on a loan of 20,000 at the rate of 5% in 3 years
Answer:
3,000
Step-by-step explanation:
Loan = 20,000
Simple Interest per year = 5% of 20,000
=> [tex]\frac{5}{100}* 20,000[/tex]
=> 5 * 200
=> 1,000
Simple Interest for 3 years = 3 * 1000
=> 3,000
Answer:
3000
Step-by-step explanation:
SI = P × R × T
Use simple interest formula.
20000 × 5% × 3
1000 × 3
= 3000