Spinner B is the spinner that has a probability of 1/3 of spinning orange.
How to find the he probability of spinning orange is more than 40%a) For one of the spinners, the probability of spinning orange is 1/3. To identify which spinner this is, we need to find the spinner that has exactly one orange sector out of three total sectors.
From the given spinners, Spinner B is the only spinner that has one orange sector out of three, so Spinner B is the spinner that has a probability of 1/3 of spinning orange.
b) For two of the spinners, the probability of spinning orange is more than 40%. To find these spinners, we need to look for the spinners that have at least three orange sectors out of a total of eight sectors (since 3/8 is greater than 40%).
From the given spinners, Spinner A and Spinner C both have three orange sectors out of eight total sectors, so they are the two spinners for which the probability of spinning orange is more than 40%.
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Sketch the graph of the following function. Describe how
the graph can be obtained from the graph of the basic
exponential function ex.
f(x) = 2 (4-ex)
Use the graphing tool to graph the equation.
someone help pls, im not sure what to put in the little box for the vertical shift and vertical shrink
The vertical shift and vertical shrink of the exponential function are 2 and 1/2 respectively and the graph of the function is attached below
An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The vertical shift and vertical shrink of the function f(x) = 1/2(4 - eˣ) are 2 and 1/2
The vertical shift = 2
vertical shrink = 1/2
Kindly find the attached graph below
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Can someone help me with this please
The matrix after the row operation is given as follows:
[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]
How to do the row operation?The matrix in the context of this problem is defined as follows:
[tex]\left[\begin{array}{ccc}7&-4&8\\-12&7&-13\end{array}\right][/tex]
We want to have element 1 into row 1 and column 1, that is, the element of 7 must assume a value of -1.
A valid row operation is the multiplication of the row by a constant, and as the element has a value of 7, the constant to obtain a value of 1 is:
7/k = 1
k = 7.
Dividing every element of the first row by 7, the matrix is given as follows:
[tex]\left[\begin{array}{ccc}1&-\frac{4}{7}&\frac{8}{7}\\-12&7&-13\end{array}\right][/tex]
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Find the inequality represented by the graph.
The inequality represented by the given graph as required to be determined in the task content is; y ≥ 0.5x.
Which inequality is represented by the given graph?It follows from the task content that the inequality which is represented by the given graph is required to be determined.
By observation; the slope of the border line is; 0.5 and the y-intercept is; 0.
Ultimately, the corresponding equation to the border line is; y = 0.5x.
Hence, since the region above the line is shaded and the line is a solid line; the required inequality is; y ≥ 0.5x.
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What is the value of X? (Thx for any help!)
Answer:
x=109 y=100
Step-by-step explanation:
Answer:
x=100
y=109
Step-by-step explanation:
For any quadrilateral (4-sided shape) inscribed in a circle (all 4 vertices of the quadrilateral are on the edge of the circle), there is a special relationship between certain pairs of angles within the quadrilateral.
Specifically, opposite angles (angles across from each other) must sum (add) to 180 degrees.
The angle measuring 80 degrees is opposite the angle measuring x degrees, so x + 80 = 180, implying x = 100.
In this case, the angle measuring 71 degrees is opposite the angle measuring y degrees. So, 71 + y = 180, which implies y = 109.
Use the Law of Cosines. Find length x.
(Round the final answer to one decimal place as needed. Round all intermediate values to two decimal places as needed.)
18.2
Step-by-step explanation:
AB² =AC² + CB² -2(AC)(CB)CosA
X²=(17)² + (10)² - 2 (17)(10) Cos80
x² = 289 + 100- 340 cos 80
x= √289+100-340cos80
x= 18.2
2010 2008
$971 $812
$977 $943
$900 $873
$1071 $1023
$501 $486
2. What is the median weekly earnings of workers in the occupations listed for
2010?
The median weekly earnings of the data set of the workers in the occupations listed for 2010 is calculated as: $971.
How to Find the Median Weekly Earnings?To find the median weekly earnings for the occupations listed in 2010, we need to first arrange the earnings in order from least to greatest:
$501, $900, $971, $977, $1071
The median is the middle value in this ordered list. Since there are an odd number of values, the median is simply the middle value.
Therefore, the median weekly earnings of workers in the occupations listed for 2010 is $971.
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The bells obtain a 30-year, $90,000 conventional mortgage at a 10.0% rate on a house selling for $120,000. Their monthly mortgage payment, including principal and interest, is $783.00. They also pay 2 points at closing.
A)What is total amount the Bells will pay for their house.
B) How much of the cost will be interest (including the 2 points)?
C) How much of the first payment on the mortgage is applied to the principal?
The total amount that the Bells will pay for their house would be $313, 680.
The cost that would be interest is $193, 680
The amount of the first payment going to mortgages is $165. 24
How to find the total amount paid ?Find the down payment :
Down payment = House price - Mortgage amount = $120,000 - $90,000 = $30,000
Then the points paid at closing :
= $ 90,000 x 0. 02 = $1,800
Total amount paid = Total mortgage payments + Down payment + Points cost
= 281, 880 + 30, 000 + 1, 800
= $ 313, 680
The total that is interest is:
Total interest paid = Total interest paid through monthly payments + Points cost
Total interest paid = $ 191, 880 + $ 1, 800 = $193, 680
The amount of the first payment going to principal is:
Principal portion of first payment = 90, 000 - 89, 834.76 = $165. 24
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Solve for x. Round to the nearest tenth, if necessary.
50 points
Answer: 8.7
Step-by-step explanation:
Given:
hypotenuse = 9
Angle x =75
opposite of angle = x
Solution:
From SOH CAH TOA, use SOH
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] > substitute
sin 75 = [tex]\frac{x}{9}[/tex] > multiply both sides by 9
9*sin 75 =x
x=8.7
Identify the converse of the statement "A → B: If x = 3, then x + 8 = 11."
A) ∼A → ∼B: If x ≠ 3, then x + 8 ≠ 11.
B) ∼A → B: If x ≠ 3, then x + 8 = 11.
C) B → A: If x + 8 = 11, then x = 3.
The converse of the statement "A → B: If x = 3, then x + 8 = 11" is Option(c) which is "B → A: If x + 8 = 11, then x = 3."
The "Converse" of a "conditional-statement" can be expressed by interchanging the hypothesis and the conclusion of "original-statement".
In this case, The "conditional-statement" is given to be "A → B: If x = 3, then x+8=11", which is read-as that if "x" is equal to 3, then expression "x + 8" is equal to 11.
So, The converse statement would say that if "x + 8" is equal to 11, then x must be equal to 3.
Therefore, the correct option is (c).
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A washer and a dryer cost $770 combined. The washer costs $70 more than the dryer. What is the cost of the dryer?
Answer:
d = $350
Step-by-step explanation:
If we allow d to represent the cost of the dryer and w to represent the cost of the washer, we know that the total cost of the washer and dryer is
d + w = 770.
Since we're told that the washer costs $70 more than the dryer, we know that
w = d + 70
We can substitute equation for w in the original equation to find d:
d + d + 70 = 770
2d + 70 = 770
2d = 700
d = 350
If you went on to find w, you'd see that it'd be 420 since 770 - d = w and 770 - 350 = 420
We know that the dryer costs $350 and the washer costs $420. 420 is indeed $70 more than $350 so our answer for the cost of the dryer is correct.
Can you please help me with this?
The triangles represented in the picture attached are acute, obtuse, acute and right triangles respectively.
Understanding different types of trianglesAcute Triangle is a triangle in which each of the three angles are less than 90°.
In fact all angles in an acute triangle are can be equal and sum to 180°.
Right Triangle is a triangle in which one of the angles is exactly 90°, often denoted as a "square corner".
The side opposite the right angle is called the hypotenuse and it is the longest side.
Obtuse Triangle is a triangle in which one of the angles is greater than 90°.
In other words, one of the angles in an obtuse triangle is "blunt" or greater than a right angle.
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Which of the following accurately graphs the points listed in the table above?
Answer:
Correct ANSWER IS A
Step-by-step explanation:
For each coordinate pair (r,θ) listed in the table, first identify the ray on the graph created by the angle θ. On this ray, plot a point a distance of r from the pole.
Mo is running the tracks where one lap is 400m. After completing some laps, he found that he has completed 40% of the total distance. After another 2, 50% is done. What is the total distance that he needs to cover in meters?
I REALLY NEED THE ANSWER SOON,
IF YOU CAN DO IT WELL THANK YOU.
Answer:
Total distance is 8000 m------------------
According to the problem, 2 laps make a difference of 10% as:
50% - 40% = 10%Hence the total distance in terms of laps is:
100% / 10% = 10 times the 2 laps:Find the total distance:
Total distance = 10*2 = 20 lapsTotal distance = 20*400 m = 8000 mGirish left his home at 7 45 and travelled to Muar, which was 120 km away. He arrived
at Muar 2 h later. After staying 1 2/3 hours in Muar, he travelled from Muar back to his home
along the same route at a speed which was 20 Km/h slower than his previous speed.
At what time did Girish reach home?
Answer:
2:35
Step-by-step explanation:
it takes 2 hours to get to Muar so 9:45
he spends 1 hour 40 in muar so 11:35
he went at 60 Km/h before so he returns at 40Km/h so it takes 3 hours so 2:35
Explain by using an example why you need to multiply when converting from a larger unit to a smaller unit
Multiplying is necessary because each larger unit contains a certain number of the smaller units and we need to account for that conversion factor.
Why is multiplication necessary with examples?For example, when converting from meters to centimeters where we know that 1 meter is equal to 100 centimeters.
To convert 3 meters to centimeters, we need to multiply by the conversion factor of 100 which gives us:
= 3 meters * 100 centimeters/meter
= 300 centimeters
So, without the multiplication, we would not account for the fact that each meter contains 100 centimeters. This principle applies to all conversions from larger units to smaller units and it is important to remember to ensure accurate conversions.
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Exercise 17.5 Calculate the curved surface a cone whose height is 8 cm and base radius 5cm
The curved surface area of the cone is 148 cm².
Given that we need to find the curved surface area of the cone with height of 8 cm and radius of 5 cm,
The curved surface area gives the area of the face of an object.
The CSA of a cone = π × radius × slant height.
Slant height = √r²+h²
= √64+25
= 9.43 cm.
Now the csa = 3.14 × 5 × 9.43
= 148
Hence the curved surface area of the cone is 148 cm².
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Simplify using law of exponents. (3^4)^8
Step-by-step explanation:
[tex] {( ({3})^{4} })^{8} \\ = {3}^{32} [/tex]
Type the correct answer in each box.
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length, x, of its square base. Nathan
uses the formula for the volume of a pyramid to determine the dimensions of the sculpture
V= }ah
Here, a is the side length of the pyramid's square base and h is its height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x? +
= O can be used to find that the length of
the sculpture's base is
centimeters.
The sculpture's base length = 9 cm and the height of sculpture is found as 6 cm.
Explain about the pyramid:The base and apex are joined to form a pyramid. To identify them from the base, the triangular sides are also also referred to as lateral faces. In a pyramid, the apex, which creates the triangle face, is connected to each base edge.
volume of a pyramid = V=1/3 a²h Given volume V = 162 cm³Let 'x' be the side length.Then , (x - 3) be the height of sculpture.Put the values and find the length.
162 = 1/3 (x)² (x-3)
162 * (3) = (x)² (x-3)
486 = x²(x-3)
486 = x³ - 3x²
x³ - 3x² - 486 = 0
(use a graphing tool or calculator equation mode).
x = 9
Thus,
side length of sculpture = 9 cm
height of sculpture = 9 - 3 = 6cm
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Correct question:
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length,x,of its square base. Nathan uses the formula for the volume of a pyramid to determine the dimesnsioms of the sculpture.
V=1/3 a^2h
Here, a is the side length of the pyramids square base and h is it’s height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x^3 + _x^2+ _ =0 can be used to find that the length of the sculptures. base is _ centimeters.
Carson is organizing textbooks on his bookshelf. He has a Spanish textbook, a math textbook, a history textbook, and a health textbook. How many different ways can he line the textbooks up on his bookshelf?
Carson can line up his textbooks on his bookshelf in 24 different ways
What is Permutation?
Permutations are a way to count the number of ways that a set of objects can be arranged in a particular order. A permutation is an ordered arrangement of objects.
What is Combination?
The combination is a way to count the number of ways that a set of objects can be selected without regard to order. A combination is an unordered selection of objects.
According to the given information:
Carson has four textbooks that he wants to line up on his bookshelf. The number of different ways that he can do this is given by the permutation formula:
n! / (n - r)!
where n is the total number of objects (in this case, 4 textbooks), and r is the number of objects that he wants to arrange in a particular order (in this case, all 4 textbooks).
On substituting the values in the formula,
4! / (4 - 4)! = 4! / 0! = 4 x 3 x 2 x 1 / 1 = 24
Therefore, Carson can line up his textbooks on his bookshelf in 24 different ways.
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Ashley made 4 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for all 4 necklaces was $29.20 . If the beads cost a total of $13.60 , how much did each pendant cost?
$3.90
29.20-13.60=15.6
15.6/4= 3.90
someone pls help i really need help with this
Answer:
50° F
Step-by-step explanation:
35 - -15= 50
Check
-15 + 50 = 35
And 35 - 50 = -15
helppp me its need to be done quick
Answer:
100
Step-by-step explanation:
The number has the same digit in its hundreds place and its hundredths place. The digit in the hundreds place is 100 times greater than the digit in the hundredths place (https://ccssmathanswers.com/hundredth-place-in-decimals). Therefore, the value of the digit in the hundreds place is 100 times greater than the value of the digit in the hundredths place.
Therefore, the answer is 100.
Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided.
Lower bound=0.640, upper bound=0.910, n=1200
The point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample are:
margin of error = 0. 135point estimate = 0. 775 x = 930 peopleHow to find the parameters ?The point estimate of the population proportion:
= (lower bound + upper bound) / 2
= (0.640 + 0.910) / 2
= 0. 775
The margin of error for the confidence level :
= p - hat - lower bound
= 0. 775 - 0. 640
= 0. 135
The number of individuals in the sample with the specified characteristic (x ) :
= n x p - hat
= 1, 200 x 0. 775
= 930 people
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Mateo produces a street sign graphic on his computer that is 4 inches by 5 inches. He enlarges the graphic by a scale factor of 3 to print. Then Mateo enlarges the image by a scale factor of 4 before sending it to the machinist.
What are the dimensions of the sign? Write the smaller dimension first and the larger dimension second.
The dimensions of the sign are as follows, using an overall scale factor of 12 on the original graphic:
Smaller Dimensions = 12 inches by 15 inchesLarger Dimensions = 48 inches by 60 inches.What is the scale factor?The scale factor refers to the ratio of an original scale, object, or drawing to its model or final version.
The scale factor may enlarge or reduce the original dimensions.
The dimensions of the street sign graphic on computer = 4 inches by 5 inches
Scale factor of the graphic on print = 3
The first smaller dimensions:
4 x 3 inches and 5 x 3 inches
= 12 inches by 15 inches
The second larger dimensions:
Scale factor = 4
12 x 4 inches by 15 x 4 inches60 i
= 48 inches by 60 inches
Overall scale factor of the original graphic to the last model = 12 (3 x 4)
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A glass jug can hold (p+6) quarts less water than a plastic container. 2 glass jugs and 2 plastic containers contain 6p quarts of water in all.
How much water can the plastic container hold? Give your answer im terms of p.
The amount of water that the plastic container can hold is -p + 3.
How to determine the amount of water that can be heldTo determine the amount of water that can be held, we will first assume that the container can hold x quantity of water.
So, the glass jug can hold:
p + 6 - x
2 glass jugs and 2 plastic containers can hold 6p quarts of water.
= 2(p + 6 - x) - 2x = 6p
2p + 12 - 2x -2x = 6p
2p + 12 -4x = 6p
12 - 4x = 6p - 2p
-4x = 6p -2p - 12
-4x = 4p -12
x = 4p - 12/-4
x = -p - 3
or -p + 3
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Look at this pictograph:
Library books checked out
December
January
February
March
April
Each = 5 books
How many more books were checked out in March than in April?
books
There were no more books checked out in March than in April.
What is the pictograph about?The pictograph provided shows the number of books checked out from the library during the months of December, January, February, March, and April. Each picture represents 5 books.
The pictograph tells us that for each of these months, 5 books were checked out. So, in March, 5 books were checked out, and in April, 5 books were also checked out.
To find the difference between the number of books checked out in March and April, we subtract the number of books checked out in April from the number of books checked out in March:
5 books (March) - 5 books (April) = 0 books
Therefore, The result shows that there were no more books checked out in March than in April. Both months had the same number of books checked out, which is 5.
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Calculate standard deviation for the following by direct and shortcut method.assume mean as 32
Serial no.of workers
1
2
3
The standard deviation for the given distribution is 8.739 using either the direct method or the shortcut method.
How to find the standard deviation?Standard deviation is defined as a measure of how spread out numbers are. It is also referred to as the square root of the Variance, and then the Variance is the average of the squared differences from the Mean.
To calculate the standard deviation for the given distribution, we will utilize either the direct method or the shortcut method.
Direct method:
Calculate the mean wage (F) for the distribution:
Mean = (20 + 22 + 27 + 30 + 31 + 32 + 35 + 45 + 40 + 48)/10
Mean = 34
Calculate the differences between each wage and the mean wage:
20 - 34 = -14
22 - 34 = -12
27 - 34 = -7
30 - 34 = -4
31 - 34 = -3
32 - 34 = -2
35 - 34 = 1
45 - 34 = 11
40 - 34 = 6
48 - 34 = 14
Square each of the differences:
(-14)² = 196
(-12)² = 144
(-7)² = 49
(-4)² = 16
(-3)² = 9
(-2)² = 4
1² = 1
11² = 121
6² = 36
14² = 196
Add up the squared differences: 196 + 144 + 49 + 16 + 9 + 4 + 1 + 121 + 36 + 196 = 756
Divide the sum of the squared differences by the number of workers: 756/10 = 75.6
Take the square root of the result to get the standard deviation:
√75.6 = 8.739
Shortcut method:
The mean wage (F) for the distribution:
(20 + 22 + 27 + 30 + 31 + 32 + 35 + 45 + 40 + 48)/10 = 34
The sum of the squares of the differences between each wage and the mean wage:
(20 - 34)² + (22 - 34)² + (27 - 34)² + (30 - 34)² + (31 - 34)² + (32 - 34)² + (35 - 34)² + (45 - 34)² + (40 - 34)² + (48 - 34)² = 756
Divide the sum by the number of workers: 756/10 = 75.6
Take the square root of the result to get the standard deviation:
Standard deviation = √75.6 = 8.739
Therefore,
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Complete question is:
Calculate standard deviation for the following
distribution by direct and shortcut method.
Assume mean as 32.
Serial No. of Workers
1
2
3
4
5
6
7
8
9
10
Wage (F)
20
22
27
30
31
32
35
45
40
48
Helppppppp pleaseee
The loudness of sound in decibels perceived by the human ear depends on the intensity levels according to
D=10log(I/lo)
Find the decibel level when I is 63, 096 times Io.
The decibel is -------------- dB when I is 63, 096 times Io.
Round your answer to the nearest whole number.
Answer:
We can use the given formula to calculate the decibel level D when the intensity level I is 63,096 times Io:
D = 10log(I/lo)
Where Io is the reference intensity level and is typically taken to be the threshold of hearing, which is 10^−12 watts/m^2.
So, substituting the values, we get:
D = 10log(63,096*Io/Io) = 10log(63,096)
Using a calculator, we find:
D ≈ 47.1 dB
Rounding this to the nearest whole number, we get:
The decibel level is 47 dB when I is 63,096 times Io.
I hope this helps mate.
The sequence is geometric.
1, 6, 30, 60, . . .
The sequence 1, 6, 30, 60, . . . is not a geometric sequence
Checking if the sequence is geometricFrom the question, we have the following parameters that can be used in our computation:
1, 6, 30, 60, . . .
To check if the sequence is geometric, we calculae the common ratio of the sequence using
r = next term/previous term
Using the above as a guide, we have the following:
r = 6/1 = 6
r = 30/6 = 5
r = 60/30 = 2
The common ratios of the sequence calculated above are different
This means that the sequence is not geometric
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Help please
Expand the logarithm as much as possible
logy^10
Using some logarithm properties we will get the expanded expression:
log(y^10) = 10*ln(y)/ln(10)
How to expand the logarithm?So there are two logarithm properties that we can use here, these are:
logₙ(x) = ln(x)/ln(n)
and:
logₙ(x^a) = a*logⁿ(x)
Now let's go to our expression, it is:
log(y^10)
Using the second property we can remove the exponent, then we will get:
log(y^10) = 10*log(y)
Now we can use the first rule, remember that log(x) has a base of 10, then we can write:
10*log(y) = 10*ln(y)/ln(10)
That is the expession expanded.
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