The general rule for each sum is that when you add the tenth term together we will get ten which will make the value an integer. The whole sum is equals to eleven.
How to find the general rule for a sum?Let's sum the decimal numbers to know the general rule,
Therefore,
3.7 + 7.3 = 11.0
6.4 + 4.6 = 11.0
9.1 + 1.9 = 11.0
5.5 + 5.5 = 11.0
Therefore, the values added are the reverse of the decimals. example is 3.7 and 7.3 or 6.4 and 4.6.
When you add the tenth term together we will get ten which will make the value an integer
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The door prizes at a dance are gift certificates from local merchants. there are four $10 certificates, five $20 certificates, and three $50 certificates. the prize envelopes are mixed together in a bag and are drawn at random.
The probability that none of the prizes is a $10 gift certificate is; 7/99
The expected number of $20 gift certificates drawn is 2.083
How to find the Probability?This is a question of picking objects from a mixture without replacement. The modelling distribution is the hypergeometric distribution, given by the formula:
P(a) = C(A,a) * C(B,b)/C(A+B,a+b)
Where;
a = number of good objects picked
b = number of bad objects picked.
A = number of good objects in the given batch.
B = number of bad objects in the given batch.
a + b = total number of objects picked without replacement.
A + B = total number of objects in the batch.
A) In this question;
A = 4 ($10, good)
B = 3 + 5 = 8 ($20, $50, "bad")
a = 0, b = 5
a + b = 5
Thus;
P(a = 0) = C(4, 0) × C(8, 5)/C(12, 5)
P(a = 0) = 1 × 56/792
P(a = 0) = 7/99
B) $20 is the "good" prize.
Thus;
A = 5
B = 3 + 4 = 7
a + b = 5 (total number of prizes drawn)
Thus;
E[$20] = (5/(5 + 3 + 4)*5)
E[$20] = (5/12)*5
E[$20] = 25/12
E[$20] = 2.083
Complete Question is;
The door prizes at a dance are four $10 gift certificates, five $20 gift certificates, and three $50 gift certificates. The prize envelopes are mixed together in a bag, and five prizes are drawn at random.
What is the probability that none of the prizes is a $10 gift certificate?
What is the expected number of $20 gift certificates drawn?
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Jason and yolanda both drew a simple random sample from a non-normally distributed population of 25,000. jason’s sample consisted of 0.24% of the population, while yolanda’s sample consisted of 0.32% of the population. whose sample can be used to make inferences about the population?
The correct answer is option D which is both Jason’s sample and Yolanda’s sample can be used to make inferences about the population
The complete question is given below:-
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason’s sample consisted of 0.24% of the population, while Yolanda’s sample consisted of 0.32% of the population. Whose sample can be used to make inferences about the population?
neither Jason’s sample nor Yolanda’s sample
only Jason’s sample
only Yolanda’s sample
both Jason’s sample and Yolanda’s sample
What is probability?Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Since we have given that
Total number of population = 25000
Percent of a sample of Jason = 0.24%
Percent of a sample of Yolanda's = 0.32%
So, the number of the population according to Jason's sample is given by
= ( 0.24 / 100 ) x 25000
= 60
The number of the population according to Yolanda's sample is given by
= ( 0.32 / 100 ) x 25000
= 80
Both the sample can be used to make inferences about the population
Hence, the Last Option is correct.
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The area of a sector of a circle is given by the equation uppercase A = StartFraction pi r squared uppercase S Over 360 EndFraction, where r is the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?Which of the following equations is equivalent to S = pi r squared h?
A circle is a curve sketched out by a point moving in a plane. The equation that Mia will write is S = (360 × A)/(πR²).
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given the area of the sector of a circle is given by,
A = (πR²×S)/360°
Now, If Mia solved this equation for S, then the equation that she will write is,
S = (360 × A)/(πR²)
Hence, the equation that Mia will write is S = (360 × A)/(πR²).
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Answer: S = (360 × A)/(πR²).
Step-by-step explanation:
helppppppppppppppppppppppppp
Answer:
reason 1.) This is the original expression
reason 2.) you subtract 4 from both sides
reason 3.) you divide both sides by 2 to get x=5
2. Margie Spencer wants to have $100,000 in her savings account in 20 years. If her account pays 6.6% annual
interest compounded semiannually, how much must Margie deposit into her account now to meet her goal?
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$100000\\ P=\textit{original amount deposited}\\ r=rate\to 6.6\%\to \frac{6.6}{100}\dotfill &0.066\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &20 \end{cases}[/tex]
[tex]100000=P\left(1+\frac{0.066}{2}\right)^{2\cdot 20}\implies 100000=P(1.033)^{40} \\\\\\ \cfrac{100000}{1.033^{40}}=P\implies 27288.97\approx P[/tex]
Each card in a standard deck of 52 playing cards is unique and belongs to 111 of 444 suits:
13 cards are clubs
13 cards are diamonds
13 cards are hearts
13 cards are spades
Suppose that Luisa randomly draws 4 cards without replacement.
What is the probability that Luisa gets 2 diamonds and 2 hearts (in any order)?
The probability that Luisa gets 2 diamonds and 2 hearts (in any order) is:
P = 0.022
How to get the probability?
The probability of getting a particular type of card, is given by the quotient between the number of cards of that type and the total number of cards.
Here, let's assume that the 4 draws are:
diamond-diamond-heart-heart.
In that order.
First, the probability of drawing a diamond card is equal to:
p₁ = 13/52
Because there are 13 diamond cards and 52 cards in total.
Bt after that draw, there will be 12 diamond cards and 51 cards in total, so the probability of getting the second diamond card is:
p₂ = 12/51.
Now, there are 13 heart cards and 50 cards in the deck, so the probability of getting the first heart card is:
p₃ = 13/50
And the probability of getting the second one is:
p₄ = 12/49.
The joint probability will be the product of the 4 individual probabilities, but we also need to take in account the possible permutations, these are:
(using D for diamond and H for heart).
D - D - H - H
D - H - D - H
D - H - H - D
H - D - D - H
H - D - H - D
H - H - D - D
So there are 6 permutations, this means that the probability is:
P = 6*p₁*p₂*p₃*p₄ = 6*(13/52)*(12/51)*(13/50)*(12/49) = 0.022
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What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame? 16.7° 17.5° 72.5° 73.3°
The complete question is
"A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.
What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?
16.7°, 17.5°, 72.5°,73.3°"
The value of angle x would be 16.7 degrees.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.
The angle of a right angle is always 90 degrees.
In order to find the value of x, a tan would be used.
This is because we have given the opposite and adjacent sides as 10 ft and 3 ft.
Tan Ф = opposite / adjacent
Tan Ф = (3/10)
= 16.7 degrees
The value of angle x would be 16.7 degrees.
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Answer: the answer is 16.7°.
Step-by-step explanation: it show below.
Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree.
4cos2θ+9=−14cosθ
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
Trigonometry identityTrigonometry identities are expressed as a function of cosine, sine and tangent.
Given the trigonometry expression shown
4cos2θ+9=−14cosθ
Equate to zero
4cos2θ+9 + 14cosθ = 0
According to trig identity
cos2θ = 2cos²θ - 1
Substitute to have:
4(2cos²θ - 1)+9 + 14cosθ = 0
Expand
8cos²θ - 4 + 9 + 14cosθ = 0
8cos²θ+ 14cosθ + 5 = 0
let P = cosθ to have;
8P² + 14P + 5 = 0
Factorize the result
8P² + 10P + 4P + 5 = 0
2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4
P = -1/2 and -5/4
Recall that P = cosθ
If P = -1/2
cosθ = -1/2
θ = -60
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
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Type the probability notation for choosing a red disk.
The probability notation for choosing a red disk is P(red disk)
How to determine the notation?From the question, we have the following highlights:
The scenario represents probabilityThe event is choosing a red flaskProbability notations are represented as:
P(Event)
Since the event is choosing a red flask, the probability would be
P(red disk)
Hence, the probability notation for choosing a red disk is P(red disk)
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I need help asap please
Step-by-step explanation:
you first multiply both sides by 4
hence,
40 > 5u > 30
then you just divide by 5 to get
8 > u > 6
Select the correct answer. in which career would you most likely apply concepts from geometry? a. food critic b. social worker c. radio dj d. computer game designer
Answer:
Computer game designer.
Step-by-step explanation:
If you want to design a game, you need to have some basic shapes and stuff in it. I'm not sure what else needs to be explained here lol
MATH!!! find the volume of the pyramid
The area of polygons formulas to V=2.56m^2
We have to determine,
The volume of the pyramid.
What is the volume of the pyramid?The volume of a pyramid is found using the formula,
V = (1/3) Bh
where 'B' is the base area and 'h' is the height of the pyramid.
hight =2.4m
base=1.4+1.8
base=3.2m
V = (1/3) (3.2)(2.4)
V=2.56m^2
As we know the base of a pyramid is any polygon,
we can apply the area of polygons formulas to find 'B.
V=2.56m^2.
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Expand the brackets.
4(t – 5)
Step-by-step explanation:
[tex] = 4(t - 5)[/tex]
[tex] = 4t - 4 \times 5[/tex]
[tex] = 4t - 20[/tex]
Answer:
4t - 20
Step-by-step explanation:
[tex]4(t - 5)[/tex]
[tex]4t(5)[/tex]
[tex]= 20[/tex]
[tex]= 4t-20[/tex]
Solve the equation using square roots. 4x^2-371=29
Answer:
x = 100
Step-by-step explanation:
[tex]4x^{2} -371=29\\[/tex]
+ 371 +371
[tex]4x^{2} =400[/tex]
[tex]\sqrt{4x^{2} } =\sqrt{400}[/tex]
[tex]4x=400[/tex]
Divide both sides by 4.
x = 100
Hope it helps!
HURRY PLEASE HELP!!!
The table represents a linear function. What is the slope of the function?
Answer:
-6
Step-by-step explanation:
you would use the slope formula y2-y1/x2-x1. the equation should be like 8-2/-2-(-1). Then simplify: 6/-1 or -6
m
1
8
What transformations were applied to ABCD to obtain A'B'C'D?
4
2
A. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units up.
B. Rotate 180 degrees counterclockwise about the origin, then
translate 2 units down.
O C. Rotate 180 degrees counterclockwise about the origin, then
translate 2 units up.
D. Rotate 90 degrees counterclockwise about the origin, then
translate 2 units down.
← PREVIOUS
4
Answer:
A
Step-by-step explanation:
To answer this, look at one specific point for example, A. It is at the point (3,6). In order for this point to get to where it was moved to, you must rotate it counterclockwise () 90 degrees. Do this by changing the initial point from (x,y) to (-y,x). This is located at (-6,3). Then you can see that it was translated 2 units up from there.
I hope this helped.
Rotate 90 degrees counterclockwise then translate 2 units up.
Option B is correct.
What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
In the figure ABCD, is transformed to figure A'B'C'D'.
It is Transformed from Quadrant 1 to quadrant 2
So, the point (x,y) is (-y,x).
It is then moved up by 2 units.
Now, the figure is rotated counterclockwise and translated up by 2 units.
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A rectangular solid is dilated by a factor of 0.5
How many times larger is the volume of the resulting cube than the volume of the original cube
Enter your answer as a decimal and do NOT round
Answer:
0.125 times larger
Step-by-step explanation:
given the scale factor of 2 solids is k , then the volume factor = k³
here k = 0.5 , so
volume factor = (0.5)³ = 0.125
parallelogram ABCD has vertices A(0,0)B(3,6)C(11,2) find the possible coordinates of D
The parallelogram ABCD formed by vertices A(x, y) = (0, 0), B(x, y) = (3, 6) and C(x, y) = (11, 2) has a point D with the following coordinates: D(x, y) = (14, 8).
How to determine the missing vertex of a parallelogram
In this question we know only three vertices of the parallelogram. To determine the missing point we must understand the properties of parallelograms. Vectorially speaking, we can find the missing vertex by using the following property:
[tex]\overrightarrow{AB} = \overrightarrow {CD}[/tex]
[tex]\vec B - \vec A = \vec D - \vec C[/tex]
[tex]\vec D = \vec C + (\vec B - \vec A)[/tex]
D(x, y) = (11, 2) + [(3, 6) - (0, 0)]
D(x, y) = (11, 2) + (3, 6)
D(x, y) = (14, 8)
The parallelogram ABCD formed by vertices A(x, y) = (0, 0), B(x, y) = (3, 6) and C(x, y) = (11, 2) has a point D with the following coordinates: D(x, y) = (14, 8).
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Pls Help, Will Give Brainlest
Answer:
19.1 ft³
Step-by-step explanation:
Hello!
Volume of a cylinder: [tex]V = \pi r^2h[/tex]
V = volumeπ = pi (3,14)r = radiush = heightWe can plug in the values and solve.
Solve[tex]V = \pi r^2 h[/tex][tex]V = (3.14)(1.5)^2(2.7)[/tex][tex]V = (3.14)(2.25)(2.7)[/tex][tex]V = 19.0755 \approx 19.1[/tex]The volume is approximately 19.1ft³
Step-by-step explanation:
[tex]\pink{\large{\underline{\underline{\sf Given:-}}}}[/tex]
[tex] \sf Radius_{\blue{cylinder}}=1.5 \: feet[/tex][tex] \sf Height_{\blue{cylinder}}=2.7 \: feet[/tex][tex]\pink{\large{\underline{\underline{\sf To\:find:-}}}}[/tex]
[tex] \sf Volume_{\blue{cylinder}}=?[/tex][tex]\pink{\large{\underline{\underline{\sf Solution:-}}}}[/tex]
We know that,
[tex]\underline{\boxed{\sf Volume_{cylinder}=πr^2h}}[/tex]
[tex]\longmapsto \sf 3.14×(1.5)^2×2.7[/tex]
[tex]\longmapsto \sf 3.14×2.25×2.7[/tex]
[tex]\longmapsto \sf 3.14×6.075[/tex]
[tex]\longmapsto \sf 19.0755≈19.1\: cubic\:feet[/tex]
Select the correct answer. if you pick a shirt at random from the given batch of 165 shirts, what is the probability that it is red and the size is medium? a. b. c. d. e.
The probability that a shirt picked at random is red and the size is medium is 48 / 165.
What is the probability?
Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that a shirt picked at random is red and the size is medium = number of red shirts that a medium size / total number of shirts
48 / 165.
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Answer:
The probability that a shirt picked at random is red and the size is medium is 48 / 165.
Step-by-step explanation:
because it is
How much greater is 8 x 10 to the power of 5 then 8 x 10 to the power of -1
Answer:
3.276.799.999,9875
Step-by-step explanation:
(8 × 10)^5 - (8 × 10)^-1 = 3.276.799.999,9875
HI GUYS CAN SOMEONE PLEASE HELP??? ASAP??
TYSM!
Please help! Will mark big brain!
Answer:
The height of the ladder is 6.9 meter
Explanation:
Given:
angle: 60°opposite: 6 meterhypotenuse: height of ladderAs opposite and hypotenuse given, use sine rule:
[tex]\rightarrow \sf sin(x) = \dfrac{opposite}{hypotenuse}[/tex]
[tex]\rightarrow \sf sin(60) = \dfrac{6}{h}[/tex]
[tex]\rightarrow \sf h = \dfrac{6}{sin(60)} = 4\sqrt{3} = 6.928 \ meters \quad \approx \ 6.9 \ meters \ \ (one \ decimal \ place)[/tex]
Which lists the steps in the correct order to find the median of this data set? 24, 16, 23, 30, 18, 29 O 1. Put the numbers in order. 2. Cross off high/low pairs. 3. Add the leftover numbers. 4. Divide the sum by 2. O1. Put the numbers in order. 2. Cross of high/low pairs. 1. Cross off high/low pairs. 2. Add the leftover numbers. 3.Divide the sum by 2. 1. Cross of high/low pairs.
Median is the central tendency of the data and always exists in the middle of the data set.
What is the median?The Median is the middlemost value of the numbers arranged in the ascending orders. Median is the central tendency of the data and always exists in the middle of the data set.
The process of finding the median if the number of data points is even is as follows:
Put the numbers or the data points in the order(increasing or decreasing i.e. ascending or descending order)Next cross of the high/ low pairsAdd the leftover numbersand divide the number( as obtained in the above step by 2)( if the number of data pints were even then we just need to arrange the numbers and cross the high/low pair and only one data point will be left which acts as the Median of the data set)
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solve pls brainliest
Find the perimeter of the parallelogram with these vertices. (-5,1) (-5,-4) (5,-2) (5,-7)
Answer:
10 + 2√109 ≈ 30.88
Step-by-step explanation:
The volume of a medal is 35 cm³
The medal is made from copper and tin.
The density of copper is 8.84 g/cm³
The density of tin is 7.38 g/cm³
Work out the mass of the medal.
volume of copper : volume of tin = 21:4
Answer:
301.224 g
Step-by-step explanation:
Let's divide in the ratio 21:4 the volume of the medal (35cm^3)
copper = (21/25)(35cm^3) = 29.4cm^3
tin = (35 - 29.4)cm^3 = 5.6cm^3
FOR THE COPPER
8.84 : 1 = X : 29.4
X = 259.896(g)
FOR THE TIN
7.38 : 1 = X : 5.6
X = 41.328(g)
(259.896 + 41.328)g = 301.224 g
Beth says that the graph of g(x) = + 1 is a translation of 5 units to the left and 1 unit up of f(x) = . She continues to explain that the point (0, 0) on the square root function would be translated to the point (–5, 1) on the graph of g(x). Is Beth’s description of the transformation correct? Explain.
Beth's description of the transformation is incorrect
Complete questionBeth says that the graph of g(x)=x-5+1 is a translation of 5 units to the left and 1 unit up of f(x) = x. She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x). Is Beth's description of the transformation correct? Explain
How to determine the true statement?The functions are given as:
g(x) = x - 5 + 1
f(x) = x
When the function f(x) is translated 5 units left, we have:
f(x + 5) = x + 5
When the above function is translated 1 unit up, we have:
f(x + 5) + 1 = x + 5 + 1
This means that the actual equation of g(x) should be
g(x) = x + 5 + 1
And not g(x) = x - 5 + 1
By comparison;
g(x) = x - 5 + 1 and g(x) = x + 5 + 1 are not the same
Hence, Beth's description of the transformation is incorrect
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a
2
3
4
5
6
7
8
Which is the graph of f(x) = -(x+3)(x + 1)?
10
Answer:
graph C
Step-by-step explanation:
(x+3)(x+1) = 0
therefore x = -3 and x = -1
what is the absolute value of 2x + 3 = 11