Answer:
600
Step-by-step explanation:
(1 / 10) * 6000
That's it!
what are the 6 steps to designing a statistical study
Answer:
Step 1: Write your hypotheses and plan your research design
Step 2: Collect data from a sample
Step 3: Summarize your data with descriptive statistics
Step 4: Test hypotheses or make estimates with inferential statistics
Step 5: Interpret your results
Step-by-step explanation:
Points A and B are on opposite sides of a lake. Another point, C. is 94.4 meters from Angle A. The measure of Angle A is 72° and the measure of Angle C is 30°. Find the distance between A and B.
To find the distance between points A and B, we can use trigonometry and the given information.
Let's label the distance between A and B as "d". We know that point C is 94.4 meters away from point A. From angle A, we have the measure of 72°, and from angle C, we have the measure of 30°.
Using trigonometry, we can use the tangent function to find the value of "d".
tan(72°) = d / 94.4
To solve for "d", we can rearrange the equation:
d = tan(72°) * 94.4
Using a calculator, we can evaluate the expression:
d ≈ 4.345 * 94.4
d ≈ 408.932
Therefore, the distance between points A and B is approximately 408.932 meters.
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph
Yes, there is a difference in the shapes of the displacement-time graphs for uniform acceleration towards the positive direction, uniform acceleration towards the negative direction, uniform deceleration towards the positive direction, and uniform deceleration towards the negative direction.
Uniform acceleration towards the positive direction:
In this case, the object's velocity increases in the positive direction over time. The displacement-time graph will have a concave-upward shape, forming a curve that starts with a small slope and gradually becomes steeper as time progresses.
Uniform acceleration towards the negative direction:
Here, the object's velocity increases in the negative direction, meaning it accelerates in the opposite direction to its positive direction.
The displacement-time graph will have a concave-downward shape, forming a curve that starts with a steep slope and gradually becomes less steep as time progresses.
Uniform deceleration towards the positive direction:
In this scenario, the object's velocity decreases in the positive direction, but it still moves towards the positive direction.
The displacement-time graph will show a curve with a decreasing slope, forming a concave-downward shape, indicating that the object is slowing down.
Uniform deceleration towards the negative direction:
Here, the object's velocity decreases in the negative direction, opposing its initial direction.
The displacement-time graph will have a curve with a decreasing slope, forming a concave-upward shape, indicating that the object is slowing down but still moving in the negative direction.
In summary, the shapes of the displacement-time graphs differ based on the direction and type of acceleration (positive or negative) and whether the object is undergoing uniform acceleration or uniform deceleration. These differences can be observed through the concavity and slope of the graphs.
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Match the graph with its function.
A. y=[xl-4
B. y = x +4
c. y = |x-41
Alice has a total of 12 dimes and nickels.She h as 2 more nickels than dimes. Write an equation
Answer:
Step-by-step explanation: She has 2 more nickels then dimes not 2 times more therefore answers B and D are incorrect. C is incorrect because it has that there are 2 more dimes than nickels. A is correct because it says that there are c dimes, and then c +2 nickels.
$500 is invested in an account earning 7% interest compounded quarterly. Find the value
after 8 years.
The amount of the investment after 8 years will be, $4,357.64
Given, $500 is invested in an account earning 7% interest compounded quarterly.
We have to find the value of the invested amount after 8 years,
as, Amount = P(1 + r/100)^t
where, P is the amount of money invested, r is the rate of interest and t is the amount of time
Amount = 500(1 + 7/100)^(8×4)
Amount = 500(1.07)^32
Amount = 500×8.715
Amount = 4,357.635
So, the amount of the investment after 8 years will be, $4,357.64
Hence, the amount of the investment after 8 years will be, $4,357.64
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18)
Find the area of a regular pentagon with an apothem of 2.75 cm and a side length of 4 cm, (round to the nearest whole number)
A)
14 cm
B)
28 cm
C)
56 cm
D)
112 cm?
Answer:
B) 28 cm^2
Step-by-step explanation:
First, find the perimeter 5*4=20
A= ½ 2.75(20) = 27.5
(round to the nearest whole number)
Got it right on the test
The effect of ______ variables on an observed association is a common cause of Simpson's paradoxlurking
The effect of confounding variables on an observed association is a common cause of Simpson's paradox lurking
What are Confounding variables?Confounding variables are variables that are related to both the independent and dependent variables, and they can distort or mask the true relationship between the variables of interest.
Simpson's paradox occurs when the direction or magnitude of an association between two variables is reversed or disappears when a third variable (a confounding variable) is taken into account.
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3. Create a graph that shows three linear relationships with different y-intercepts using
the following slopes, and write an equation for each line.
Slopes:
●
5/5 5/5 115
3
y
Setting x = 0, we get the y-intercept: y = 31/5. So, the equation of the line is y = 6/5x + 31/5.
What does line intersect?In geometry, a line intersect is a point where two or more lines cross or meet. When two lines intersect, they share a single point in common, which is called the point of intersection. This point of intersection is the solution to the system of equations formed by the two lines.
by the question.
To find different y-intercepts using the given slopes, we need to use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. To find the y-intercept, we can set x = 0 and solve for y.
For slope 1/5, let's choose the point (2, 3) on the line. Using the point-slope form, we get:
y - 3 = 1/5(x - 2)
y - 3 = 1/5x - 2/5
y = 1/5x + 13/5
Setting x = 0, we get the y-intercept: y = 13/5. So, the equation of the line is y = 1/5x + 13/5.
For slope 3/5, let's choose the point (4, 2) on the line. Using the point-slope form, we get:
y - 2 = 3/5(x - 4)
y - 2 = 3/5x - 12/5
y = 3/5x + 8/5
Setting x = 0, we get the y-intercept: y = 8/5. So, the equation of the line is y = 3/5x + 8/5.
For slope 6/5, let's choose the point (-1, 5) on the line. Using the point-slope form, we get:
y - 5 = 6/5(x + 1)
y - 5 = 6/5x + 6/5
y = 6/5x + 31/5
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What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
On December 7, Toys R Fun purchased $1,000 of merchandise with terms of 2/10, n/30. If payment is made on December 30, demonstrate the required journal entry for Toys R Fun to record the payment under the perpetual inventory system.
The correct option b. Debit Accounts Payable $1,000; Credit Cash $980; Credit Merchandise Inventory $20, is the required journal entry for Toys R Fun.
Explain the term Credit Merchandise Inventory?Merchandise inventory serves as a holding account of inventory that is awaiting sale as a current asset. Since there is a typical debit balance, debit grows while credit shrinks.For the stated question;
Toys R Fun is offered a discount of two percent if he settles within 10 days as well as the payable is required in 30 days, as indicated by the terms "2/10,n/30."
$20 (2 percent of $1,000) is the result.
On the 17th, which falls inside the discount days, the payment for the journal entry for Toys R Fun is:
$1,000 - Dr. Accounts Payable
Cr money - $980
$20 worth of Cr inventory.
Let's say, however, that the payment is made by December 30 rather than that day.
The submission will be:
$1,000 Dr. Accounts Payable.
$1,000 cash in Cr.
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The complete question is-
On Dec. 7, Toys R Fun purchased $1,000 of merchandise with terms of 2/10,n/30. If payment is made on December 30, demonstrate the required journal entry for Toys R Fun to record the payment under the perpetual inventory system.
a. Debit Cash $1,000; Credit Accounts Payable $1,000
b. Debit Accounts Payable $1,000; credit Cash $980; credit Merchandise Inventory $20.
c. Debit Accounts Payable $1,000; credit Cash $1,000
When given two points and asked to find the equation of the line in slope-intercept form, what are the correct steps? Place a number next to the step to put them in order.
When given two points and asked to find the equation of the line in slope-intercept form, the correct steps, the correct order is 2 , 1 , 4 , 3.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
Given that,
given two points and asked to find the equation of the line in slope-intercept form.
Find that,
what are the correct steps? Place a number next to the step to put them in order.
Explanation:
to find the equation of the line in slope intercept form form given two points.
step 1 :
find the slope.
step 2
write equation in point slope form
step 3.
pick a point form the given points , substitue it into the point slope form
step 4.
write the equation in slope intercept form by simplifying
Final Answer.
Hence , the correct order is 2 , 1 , 4 , 3.
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Which expression is always equivalent to sin x when 0° < x < 90°?
(1) cos (90°- x)
(3) cos (2x)
(2) cos (45° - x)
(4) cos x
The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1
To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.
Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.
Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.
On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.
Option 1 is correct.
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Example 2.20
Solution
After 7% discount, Faizal get RM1,930 from a bank. He then promised to pay the bank RM2,000
after x days. Determine the value of x.
Kaspersk
Th
The period of days (value of x) for which Faizal promised to pay the bank RM 2,000 after getting 7% discounted present value of RM 1,930 is 180 days.
The value of x is the period of days (number of days) that the loan from the bank will last before Faizal, who received RM 1,930 discounted at 7%, would repay the bank the principal and interest of RM 2,000.
This implies that Faizal is paying an interest of RM 70 (RM 2,000 - RM 1,930), since he borrowed RM 1,930 and will repay RM 2,000.
Data and Calculations:
Present value of loan received = RM 1,930
Discount rate per year = 7%
Future value of the loan to be repaid to the bank = RM 2,000
Interest expense for one year based on 7% = RM 140 (RM 2,000 x 7%)
Interest expense for 180 days or 6 months = RM 70 (RM 2,000 - RM 1,930) or (RM 2,000 x 7%) x 180/360
Interest expense that equals RM 70 will be half of a year or 180 days (RM 140 * 180/360)
Thus, the period of days (x) that will lapse for Faizal to repay the bank is 180 days or half of a year (6 months).
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What percentage of growth is needed annually to reach 400,000 in 3 years if today I have 200,000
Answer:
approx 26%
Step-by-step explanation:
you try find the multiplier
200000 * 1. ???? ^3= 400000
rearrange equation
\(\sqrt[3]{\frac{400000}{200000} }\) = multiplier
1.25992105
subract one
0.25992105
multiply by 100 to get percentage
25.9%
rounded to whole number = 26%
Fill in the table using this function rule y= - 2x + 3
Step-by-step explanation:
you just have to put that value in place of x in the function.
don't be so lazy you a hole do it yourself
The area of a circle with radius r is given by A = π r2. Find the area of a circle with radius 7 centimeters. Use 3.14 for π..
Step-by-step explanation:
Hey there!
Given;
Radius of a circle (r) = 7cm
Now;
We know that;
Area of circle (a) = π*(r^2)
= 3.14*(7^2)
= 3.14*49
= 153.86 cm^2
Therefore, the area of a circle is 153.86 cm^2.
Hope it helps...
i have 32 lunches i put the lunches in 8 bags with the same number of lunches in each bag. how many lunches are in each bag
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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can you solve 5x = -25
Answer:
x=-5
Step-by-step explanation:
Divide by 5 on both sides and you get x=-5
Hope this helps mark brainliest if correct
Using a standard deck of cards, a gamer drew one card and recorded its value. They continued this for a total of 100 draws. The table shows the frequency of each card drawn.
Card A 2 3 4 5 6 7 8 9 10 J Q K
Frequency 4 7 5 6 7 6 8 10 7 10 8 12 10
Based on the table, what is the experimental probability that the card selected was a 3, 5, or 7?
one fifth
one third
3 over 10
6 over 13
This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%. The answer is: 6 over 31.
what is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain. Probability can be expressed as a fraction, decimal, or percentage.
The question asks for the experimental probability of drawing a 3, 5, or 7 from a deck of cards, given the frequency table provided.
The frequency table tells us how many times each card was drawn out of a total of 100 draws.
To calculate the frequency of drawing a 3, 5, or 7, we add the frequencies of these cards: 4 (for 3) + 6 (for 5) + 6 (for 7) = 16. Note that we do not include the frequencies of any other cards.
To calculate the probability of drawing a 3, 5, or 7, we divide the frequency of these cards (16) by the total number of draws (100): 16/100 = 0.16. This means that in our experiment, we drew a 3, 5, or 7 approximately 16% of the time.
The total number of draws is 100, and the frequency of cards 3, 5, and 7 is 7+6+6=19.
Therefore, the experimental probability of drawing a 3, 5, or 7 is:
19/100 = 0.19
This can be simplified to 19/100, which is equivalent to 6/31 or approximately 0.19 or 19%.
Therefore, the answer is: 6 over 31.
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According to Greg, the perfect cherry pies have a ratio of 240 cherries to 3 pies. How many cherries does Greg need to make 9 perfect cherry pies?
Answer:
720 cherries
Step-by-step explanation:
3 pies need 240 cherries so the equation would be:
3c = 240
so, c = 80
But, he needs to make 9 "perfect" pies so you make the equation:
9c = 80*9
9c = 720
So Greg needs 720 cherries to make 9 perfect cherry pies.
I am lost on this question i found both but it keeps on telling me i am incorrect
Answer:
I have completed the answers and attached them to the explanation.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The question asks for a subtraction expression:
length is always a positive number so bigger number first here.
OB = 4-(-1) >only moves in x direction so subtract x's
AB = 4-(-2) >only moves in y direction so subtract y's
any letters or words in your answer! Ciera works at a day care center. Her job is to make sure there are always enough adult workers. Last month, there were 7 adults for 56 children, which is the minimum ratio allowed under state law. This month, 74 children are expected to enroll. How many adults will there need to be at the center? Your answer
10 adults
Explanation
Step 1
find the unit rate
\(\text{unit rate=}\frac{Number\text{ of Children}}{\text{Number of adults}}\)Let
number of children=56
number of adults=7
replace,
\(\begin{gathered} \text{unit rate=}\frac{Number\text{ of Children}}{\text{Number of adults}}= \\ \text{unit rate=}\frac{56\text{ Children}}{7\text{ adults}} \\ \text{unit rate= 8 Children per adult} \end{gathered}\)Step 2
Let x represents the adults needed for 74 children
find the unit rate:
\(\begin{gathered} \text{unit rate=}\frac{Number\text{ of Children}}{\text{Number of adults}} \\ \text{unit rate=}\frac{74}{x} \end{gathered}\)as the unit rate must be the same
\(\begin{gathered} 8\frac{Children}{\text{adult}}=\frac{74}{x} \\ 8=\frac{74}{x} \\ cross\text{ multiply} \\ 8x=74\cdot1 \\ 8x=74 \\ \text{divide both sides by 8} \\ \frac{8x}{8}=\frac{74}{8} \\ x=9.25 \\ \text{hence, we n}eed\text{ 10 adults at the center} \end{gathered}\)Jan participates in a bowling tournament. Her average score for 11 games is 204. Without her lowest score, her average is 207. What is Jan’s lowest score?
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
If we dilate point P with point P as center, it would become a line parallel to line m
A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 7 miles away from milepost 58. If m is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?
Answer:
Step-by-step explanation:
The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:
m = 58 + 7
This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.
refer to exhibit 26-5. the data illustrate that the firm in question is a group of answer choices price taker (perfectly competitive firm). factor price taker. price searcher (monopolist, oligopolist, etc.). factor price searcher.
According to the given data, the firm in question must be a price-taker, which is a perfectly competitive firm.
A price-taker is basically an individual or a particular company that must accept prices that are prevailing in a market and lacks the market share to be able to influence the market price on its own. All the economic participants can be considered to be price-takers in a market consisting of perfect competition.
In the given data set, the marginal revenue is constant which is very typical for competitive firms. This happens because the market decides the optimal price level and companies do not have much say over the price. This is a way by which they can maximize profits.
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What the meaning of statement this?
The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.
What does the statement implies?The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.
In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.
For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.
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-) Find the equation of the line that passes through (1,0) and (3,6).
The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.
Given points:
Point 1: (1, 0)
Point 2: (3, 6)
Step 1: Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates:
m = (6 - 0) / (3 - 1)
m = 6 / 2
m = 3
Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).
Using Point 1 (1, 0):
0 = 3(1) + b
0 = 3 + b
b = -3
Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):
y = 3x - 3
Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.
This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.
Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.
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