Step-by-step explanation:
ST = 8-2 = 6
QS = 7
QS + ST = QT = 13 units
Mateo plays on his school basketball team. From past history, he knows that his probability of making a basket on a free throw is 0.8. Suppose he wants to create a simulation using random numbers to estimate the probability of making at least 3 baskets on his next 5 free throw attempts. Which of the following assignments of the digits 0 to 9 could be used for the simulation?
A) Let the even digits represent making a basket and the odd digits represent not making a basket
B) Let the digits 0 and 1 represent making a basket and the digits from 2 to represent not making a basket.
C) Let the digits from 0 to 3 represent making a basket and the digits from 4 to 9 represent not making a basket
D) Let the digits from 0 to 6 represent making a basket and the digits from 7 to 9 represent not making a basket.
E) Let the digits from 0 to 7 represent making a basket and the digits 8 and 9 represent not making a basket.
Answer:
e
Step-by-step explanation:
During a school assembly, Mrs. Quinn takes attendance and counts 356 students. In actuality, there were 376 students. What is the percent
Answer:he missed 6 percent of students
Step-by-step explanation
21 divide by376
How do you find the scale factor of a dilation with a center of dilation?
The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).
What is dilation?
A dilation is a transformation that creates an image that has the same shape as the original but is larger.
• An enlargement is a dilation that produces a larger image.
• A reduction is a dilation that produces a smaller image.
• A dilation expands or contracts the original figure.
A dilation is a stretch or a shrink in the size and location of a figure or point.
The scale factor in a dilation is the amount by which the figure is stretched or shrunk.
The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,
k, the location of the center of dilation, \((x_0,y_0)\) is
\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)
Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).
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The Sears Tower in Chicago is the tallest building in North America. The total height of the tower t and the antenna that stands on top of it a is 1729 feet. The difference in heights between the building and the antenna is 279 feet. How tall is the Sears Tower?
The height of the Sears Tower's building is approximately 725 feet.
Let's denote the height of the building as h, and the height of the antenna as a. According to the information given, the total height of the tower (t) is the sum of the heights of the building and the antenna, so we have t = h + a.
We are also given that the difference in heights between the building and the antenna is 279 feet, meaning a = h + 279.
Substituting this value of a into the equation for t, we have t = h + (h + 279). Simplifying, we get t = 2h + 279.
Since the total height of the tower, t, is given as 1729 feet, we can now solve the equation 1729 = 2h + 279 for h.
Rearranging the equation, we have 2h = 1729 - 279, which simplifies to 2h = 1450. Dividing both sides by 2, we find h = 1450/2 = 725.
Therefore, the height of the Sears Tower's building is approximately 725 feet.
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Can anyone can solve this question? Pls I will mark as brainlist!!!
the 3px, 3py, and 3pz orbitals look the same, but they point in different directions. T/F?
True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.
The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.
The p orbitals have a shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.
So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.
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What expreion repreent the um of 2 divided by x and 15
215÷x215÷x
(215)÷x(215)÷x
152÷x152÷x
(152)÷x
The required expression will be 2/x+15 as the problem says "the sum of 2 divided by x and 15".
What is expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a complete sentence.
Here,
2 divided by x,
=2/x
sum of 2/x and 15,
2/x+15
The conclusion is "the sum of 2 divided by x and 15," hence the necessary equation will be "2/x+15."
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Now let's explore how to use Desmos to help solve questions like the following.
The movie theatre charged $6 for children tickets (x) and $9 for adult tickets (y). The total revenue for Friday night was $1500. How could you type this out as an equation?
dilation of 6,10 with a scale factor of 1/2
The new coordinate of the points after the dilation will be (3, 5).
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered. There is no effect of dilation on the angle.
The point is (6, 10). And the scale factor is 1/2. Then the new coordinate of the points after the dilation is given as,
⇒ (1/2)(6, 10)
⇒ (1/2 x 6, 1/2 x 10)
⇒ (3, 5)
The new coordinate of the points after the dilation will be (3, 5).
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What are the coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) ?
Enter your answer by filling in the boxes.
(
,
)
The coordinates of the centroid of a triangle with vertices X(−4, 0) , Y(−1, 4) , and Z(2, 2) is; (x, y) = (-1, 2)
What are the coordinates of the triangle centroid?Centroid of a Triangle states that the center of the triangle can be calculated as the point of intersection of all the three medians of that same triangle, and that this median is a line drawn right from the midpoint of one side to the opposite vertex.
We are given the coordinate of the vertices of the triangle as;
X(−4, 0) , Y(−1, 4) , and Z(2, 2)
Now, the formula to find the coordinates of the centroid of the triangle is; (x, y) = (x₁ + x₂ + x₃)/3, (y₁ + y₂ + y₃)/3
Thus, the coordinates of the Centroid is;
(x, y) = (-4 + (-1) + (2))/3, (0 + 4 + 2)/3
(x, y) = (-1, 2)
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PLEAEE NEED HELP!!
Find the area of the shaded region in the regular polygon with AB = 5.5 ft.
Answer:
88 ft^2
Step-by-step explanation:
please find attached the diagram used in answering this question
Area of shaded region = area of regular polygon - area of triangle
area of regular polygon = 1/2 x height x perimeter of the polygon
perimeter of the polygon = number of sides x length of side
5 x 8 = 40
1/2 x 40 x 5.5 = 110 ft²
Area of a triangle = 1/2 x ( base x height)
1/2 x 5.5 x 8 = 22 ft²
Shaded portion = 110 - 22 = 88 ft²
A bag holds 20 jelly beans: 5 red, 10 green, 4 blue, and 1 black. What is the probability of choosing two consecutive blue jelly beans without replacement
Answer:
10/20 for green, then 4/19 for blue. 10/20 * 4/19 = 2/19
Step-by-step explanation:
Explanation is above. If you need any more help let me know.
what proportion of tickets sold are adult tickets? (image)
4. A right triangle has one leg.
measuring 15 meters and a
hypotenuse measuring 25 meters.
How long must the other leg of the
triangle be?
A 12 meters
B 15 meters
C 20 meters
D 24 meters
Answer:
a^2 + b^2 = c ^2
a = first leg
b = second leg
c = hypothenuse
225 + b^2 = 625
b^2 = 400 -> b = 20 meters
A ski jump is designed to follow the path given by the parametric equations: x = 3.50t² y = 20.0 +0.120t⁴ - 3.00√t⁴+1 (0≤ t ≤ 4.00 s) where distances are in meters Find the resultant velocity and the acceleration of a skier when t = 4.00 sec.
The resultant velocity and acceleration of the skier at t=4.00 sec on the ski jump path are 12.8 m/s and 45.9 m/s², respectively.
To find the resultant velocity, first find the velocity vector components using the parametric equations:
vx = 7.00t, vy = 0.48t³ - 6.00t²/√(t⁴+1)
At t=4.00 s, vx = 28.0 m/s and vy = 10.50 m/s. The resultant velocity is the magnitude of the velocity vector, given by:
|v| = √(vx² + vy²) = 12.8 m/s
To find the acceleration vector components, differentiate the velocity vector components with respect to time:
ax = 7.00 m/s², ay = 1.44t² - 12.00t/√(t⁴+1) - 6.00t³(t⁴+1)^(-3/2)
At t=4.00 s, ax = 7.00 m/s² and ay = 45.9 m/s². The acceleration vector magnitude is:
|a| = √(ax² + ay²) = 46.1 m/s².
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Prove the following statement by contrapositive. For any integers a and b, if ab is even, then a is even or b is even. What would be assumed to be true? Oa is odd or b is odd O ab is odd O a is odd and b is odd ab is even Oa is even or b is even What would be proven to be true? ab is even O a is odd or b is odd Oa is even or b is even O a is odd and b is odd O ab is odd Write the proof in the box below.
The given statement "For any integers a and b, if ab is even, then a is even or b is even." is true. This is because if the product of two integers is even, at least one of them must be even because the product of two odd numbers is always odd. Therefore, either a or b must be even.
Assume that a and b are integers such that a is odd and b is odd. We want to show that if ab is even, then our assumption is false.
If a is odd, then we can write a as 2k+1 for some integer k. Similarly, if b is odd, we can write b as 2m+1 for some integer m.
Then, ab can be written as:
ab = (2k+1)(2m+1) = 4km + 2k + 2m + 1 = 2(2km + k + m) + 1
Since 2km + k + m is an integer, we can see that ab is odd, which contradicts our assumption that ab is even.
Therefore, by contrapositive, we can conclude that for any integers a and b, if ab is even, then a is even or b is even.
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Which of the following options have the same value as 96%percent of 25?
Answer:
I’m pretty sure it’s A but if not then D
Step-by-step explanation:
C1 Let B = {₁,...,n} be the standard basis for R". Prove that Span B = R" and that B is linearly independent.
In question C1, we are asked to prove that the span of the standard basis B = {e₁, e₂, ..., eₙ} for Rⁿ is equal to Rⁿ, and also that B is linearly independent.
To prove that the span of B is equal to Rⁿ, we need to show that every vector in Rⁿ can be expressed as a linear combination of the vectors in B. Since the vectors in B are the standard basis vectors, they have a value of 1 in only one component and 0 in all other components. Any vector in Rⁿ can be written as a linear combination of these standard basis vectors by assigning appropriate coefficients. Therefore, the span of B includes all possible linear combinations, covering all vectors in Rⁿ.
To prove that B is linearly independent, we need to show that the only solution to the equation a₁e₁ + a₂e₂ + ... + aₙeₙ = 0 (where a₁, a₂, ..., aₙ are scalars) is when a₁ = a₂ = ... = aₙ = 0. Since the vectors in B are distinct and have a value of 1 in only one component, the only way the equation can hold true is when all the coefficients are zero. Thus, B is linearly independent.
Overall, the proof establishes that the span of the standard basis B is equal to Rⁿ, indicating that B can represent any vector in Rⁿ, and also verifies that B is linearly independent, implying that the vectors in B are not redundant or dependent on each other.
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Eloise has a mat that has a length of 8/9 meter and a width of 3/4meter. What is the area of Eloise's mat? Enter your answer as a fraction in simplest form by filling in the boxes.
Answer: 2/3
Step-by-step explanation:
Eloise has a mat that has a length of 8/9 meter and a width of 3/4meter. The area of Eloise's mat will be gotten by multiplying the length by the width. This will be:
= 8/9 × 3/4
= 24/36
= 2/3
What dimensions of the box are required to fit the candle? 5 cm by 6 cm by 18 cm 7 cm by 6 cm by 18 cm 5 cm by 3 cm by 18 cm 7 cm by 3 cm by 18 cm
Answer:
7cm.by6cm sana makatulong
Answer:
The correct answer would be...
B. 7 cm by 6 cm by 18 cm
Step-by-step explanation:
If someone can help please
Answer:
A=105.12ft sq
Step-by-step explanation:
Area of the rectangle
A=8(10)
A=80
Area of the circle
if d=8 then r=4
A= (1/2) 3.14(4)
A= (1/2) 3.14(16)
A=3.14(8)
A=25.12
Area of the whole thing
A=80+25.12
A=105.12ft sq
If a business had sales of $4,000,000, and a margin of safety of 25%, the break-even point was:
a. $3,000,000
b. $12,000,000
c. $1,000,000
d. $5,000,000
If a business had sales of $4,000,000, and a margin of safety of 25%, the break-even point was is c. $1,000,000.
The margin of safety is the difference between the actual or expected sales and the break-even point. In this case, if the margin of safety is 25%, it means that the business is generating sales that are 25% higher than the break-even point.
To calculate the break-even point, we can use the following formula:
Break-even point = Fixed costs / Contribution margin ratio
The contribution margin ratio is the difference between the sales price and variable costs, divided by the sales price. We don't have enough information to calculate it directly, but we can use the margin of safety to estimate it.
If the margin of safety is 25%, it means that the contribution margin ratio is 25% of the sales price. So, the variable costs must be 75% of the sales price, and the contribution margin ratio is 25%/100% = 0.25.
We know that the sales are $4,000,000, but we don't know the fixed costs. However, we can use the break-even formula to solve for it:
$1,000,000 = Fixed costs / 0.25
Fixed costs = $250,000
Therefore, the break-even point is $250,000 / 0.25 = $1,000,000.
Based on the given information, the break-even point for the business with sales of $4,000,000 and a margin of safety of 25% is $1,000,000.
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Use distributive property to rewrite (3+8)15
By using distributive property 15(3 + 8) 15 11 = 165 both approaches yield the same conclusion.
Distrubutive Property Formula : a(b+c)=a b+a c
The distributive property is also known as the distributive law of multiplication over addition and subtraction. By its very name, the procedure implies that something will be divided or distributed. According to the distributive property, an expression of the form A (B + C) can be resolved as A (B + C) = AB + AC. Subtraction also belongs to the scope of this distributive law, which is expressed as A (B - C) = AB - AC. The distribution of operand A among the other two operands is seen from this.
A (B + C) = AB + AC represents the distributive property of multiplication over addition.
15(3+8) = (15.3) + (15.8)
15.11 = 45 + 120
165 = 165
Using the law of BODMAS, we can now attempt to solve the expression. The solution is as follows. We will first add the figures in brackets, and then we will multiply this total by the figure outside of the brackets.
Hence, using distributive property, it follows that 15(3 + 8) x 15 = 165. As a result, both approaches yield the same conclusion.
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The normal account balance of Purchases Returns and Allowances is a debit. true or false
False. The normal account balance of Purchases Returns and Allowances is a credit, not a debit.
Purchases Returns and Allowances is a contra-expense account, which means it is used to reduce the balance of the Purchases account. When merchandise is returned to the supplier or an allowance is granted by the supplier, the Purchases Returns and Allowances account is credited, which reduces the amount of the original purchase.
Since the Purchases Returns and Allowances account is a contra-expense account, it has an opposite balance to that of the regular expense account it is associated with, which is Purchases. Purchases has a normal debit balance, so Purchases Returns and Allowances has a normal credit balance.
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1. The cost of attending college has been rising at an average increase of 7% for the past ten
years. How much will a college that now costs $10,368 for room, board, tuition and fees cost
two years from now?
Answer: $11,870.32
Step-by-step explanation:
Use a compound interest formula for this as it shows what happens when when something increases at a certain rate per period.
= Amount * ( 1 + rate) ^ no. of periods
= 10,368 * ( 1 + 7%) ²
= 10,368 * 1.1449
= $11,870.3232
= $11,870.32
Find f(−1) if f(x)= x^2-6x/x+2
Help please!
Answer:
f(-1)=6
Step-by-step explanation:
If \(f(x)=\frac{x^2-6x}{x+2}\), then f(-1) is found by substituting (-1) for x in the function:
\(f(-1)=\frac{(-1)^2+6(-1)}{(-1)+2}\)
Simplify:
\(f(-1)=\frac{1+5}{1}\\f(-1)=6\)
PLEASE HELP ILL GIVE YOU EXTRA POINTS AND MARK YOU AS SOMETHING!!
If a= 2ft and c= 11ft. Find the missing side of the right triangle
Answer:
\(\sqrt{117}\) or \(3\sqrt{13}\)
Step-by-step explanation:
The formula for finding the any side of the triangle is
\(a^{2}+b^{2} =c^{2}\)
We know that a=2 and c=11, so we can go ahead and plug those into the formula.
\(2^{2}+b^{2} =11^{2}\)
\(4+b^{2} =121\)
To find side b, we have to make it alone on one side. Subtract 4 on both side.
\(b^{2} =117\)
Now square root both sides, and that leaves us with:
\(b=\sqrt{117}\) or \(3\sqrt{13}\)
What is the product of 10 numbers?.
Product of first 10 natural numbers is 3628800.
What is natural numbers?
In arithmetic, the natural numbers are those numbers used for enumeration and ordering. Numbers used for enumeration are referred to as cardinal numbers, and numbers used for ordering are referred to as ordinal numbers
Main body:
The first ten natural numbers are 1,2,3,4,5,6,7,8,9,10.
The product is the multiple all numbers.
Product of first 10 natural numbers is given by,
P = 1*2*3*4*5*6*7*8*9*10
P =3628800.
Therefore, Product of first 10 natural numbers is 3628800.
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Which of the following represents a translation if the figure?
A.
B.
C.
D.
Answer:
b
Step-by-step explanation:
a translation is when it looks exactly the same but is on the other side of the line