Answer:
log(56)×cos(52)×tan(47)
using calculator
answer=1.088
When results from a scholastic assessment test are sent to test-takers, the percentiles associated with their scores are also given. Suppose a test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade. Interpret these results. O A. This student performed better than 32% of the other test-takers in the verbal part and better than 73% in the quantitative part. OB. This student performed better than 32% of the other test-takers in the verbal part and better than 27% in the quantitative part. O C. This student performed better than 68% of the other test-takers in the verbal part and better than 73% in the quantitative part. OD. This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.
This student performed better than 68% of the other test-takers in the verbal part and better than 27% in the quantitative part.
Given,
Test-taker scored at the 68th percentile for their verbal grade and at the 27th percentile for their quantitative grade .
Now,
68% percentile : 68% scores equal or less .
27% percentile : 27^ scored equal or less .
Thus option D
This student performed better than 68% of other test taker in verbal and better than 27% in quantitative part .
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What is the surface area of the figure below?
Round to the nearest whole number.
Answer:
8583.7
Step-by-step explanation:
10 x 2.54=25.4cm
25.4cm/2= radius
4/3 x 22/7 x (12.7x12.7x12.7)=8583.70019=8583.7
Amazon Math Flow Questions • You have 30 associates who all work an 8 hour day, 5 days a week. 2 need to be indirect-they are not on the floor producing. Your direct rate is 150 units per hour but you have two 15 minute breaks during the day. How many units can your department produce in a 40 hour week? . If you need to produce an extra 10,000 units in a given week how many extra people will it require? Question: Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a... Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a total of 60 sandwiches. The deli wants an efficient way to increase the sandwich output using the same five workers and 10 hour shift (Don't Factor Break in) to produce 75 because of the 25% increase due to the expansion of the deli. What would you do to make the the process more efficient? Where each sandwich would take 8 minutes to make instead of 10 minutes. Please answer the question throughly.
Extra people required is 50.
Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Question 1 :
Number of associates = 30
Number of direct workers = 30 - 2 = 28
You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.
Direct rate = 150 units per hour
Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week
= 37.5 hours per week
Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units
28 people produce 5625 units in a week
Let x people produce 10,000 + 5625 = 15,625 units in a week
Using proportion,
28 : 5625 = x : 15,625
28 / 5625 = x / 15,625
x = (28 × 15,625) / 5625 = 77.78 ≈ 78
Extra people required = 78 - 28 = 50
Question 2 :
Number of sandwiches made in 10 minutes = 1
Number of sandwiches made in 10 hours = 60
5 workers are there. one worker makes 60/5 = 12 sandwiches
But Deli want number of sandwiches in 10 hours = 75
One worker should make 75/5 = 15 sandwiches instead of 12.
Number of sandwiches made in 8 minutes should be 1.
So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.
Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.
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L 4.6.3 Test (CST): Linear Equations
me.
OA. y+4= -3(x-3)
OB. y-4=-3(x+3)
OC. y-4=3(x+3)
OD. y+4=3(x-3)
(3,-4)
The correct option is OA. y+4= -3(x-3). L 4.6.3 Test (CST): Linear Equations Solution: We are given that a line passes through (3,-4) and has a slope of -3.
We will use point slope form of line to obtain the equation of liney - y1 = m(x - x1).
Plugging in the values, we get,y - (-4) = -3(x - 3).
Simplifying the above expression, we get y + 4 = -3x + 9y = -3x + 9 - 4y = -3x + 5y = -3x + 5.
This equation is in slope intercept form of line where slope is -3 and y-intercept is 5.The above equation is not matching with any of the options given.
Let's try to put the equation in standard form of line,ax + by = c=> 3x + y = 5
Multiplying all the terms by -1,-3x - y = -5
We observe that option (A) satisfies the above equation of line, therefore correct option is OA. y+4= -3(x-3).
Thus, the correct option is OA. y+4= -3(x-3).
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The space program has 1 astronaut in outer space and 15 astronauts on Earth. What is the ratio of the number of astronauts on Earth to the number of astronauts in outer space?
The ratio of the number of astronauts on Earth to the number of astronauts in outer space would be = 15:1.
How to calculate the ratio of astronauts on earth to astronauts in outer space?Ratio is defined as the relationship between two variables that shows the number of how many times the variables is in the other one.
The number of astronauts in the outer space = 1
The number of astronauts on Earth = 15
Therefore the ratio of the astronauts on Earth to the number of astronauts in outer space would be;
= 15 is to 1 or 15:1
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Find the solution of the following initial value problem. y ′′ + y = δ(t − 2π) cost; y(0) = 0, y′ (0) = 1
The solution of the given initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.
To solve the initial value problem, we start by finding the complementary solution, which satisfies the homogeneous differential equation y'' + y = 0. The complementary solution is given by y_c(t) = A sin(t) + B cos(t), where A and B are constants to be determined.
Next, we find the particular solution for the given non-homogeneous term δ(t-2π)cos(t). Since the forcing term is a Dirac delta function at t = 2π, we can write the particular solution as y_p(t) = K(t-2π)cos(t-2π), where K is a constant to be determined.
Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constants A, B, and K. Plugging in these initial conditions into the general solution, we find A = 0, B = 1, and K = 1.
Therefore, the solution of the initial value problem is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function.
The initial value problem with the given conditions is solved by finding the complementary solution and the particular solution. The solution is y(t) = sin(t) + H(t-2π)cos(t-2π), where H(t) is the Heaviside step function. This solution satisfies the given initial conditions y(0) = 0 and y'(0) = 1.
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evaluate the integral 6x(1 y^3)^1/2 da where r is the triangle enclosed by x=0, y=x, and y=1
Answer: The value of the integral is -1.
Step-by-step explanation:
We want to evaluate the integral : ∫∫r 6x√(1-y^3) dA
where r is the triangle enclosed by the x-axis, y-axis, and the line y = 1.
To set up the double integral, we need to determine the bounds of integration for x and y.
Since the triangle is enclosed by the x-axis, y-axis, and the line y = 1, we know that the bounds for y are from 0 to 1.
For x, we know that it varies between the y-axis and the line y = x, so the bounds for x are from 0 to y.
Therefore, we can set up the double integral as: ∫(y=0 to 1) ∫(x=0 to y) 6x√(1-y^3) dx dy
Now we integrate with respect to x: ∫(y=0 to 1) [3x^2√(1-y^3)]_0^y dy= ∫(y=0 to 1) 3y^2√(1-y^3) dy
At this point, we can make the substitution u = 1 - y^3, du = -3y^2 dy, which gives:= -∫(u=1 to 0) √u du
To integrate this expression, we make the substitution w = √u, dw = 1/(2√u) du, which gives:
= -2∫(w=1 to 0) w dw
= -[w^2]_1^0
= -1
Therefore, the value of the integral is -1.
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If a right-angled triangle ha one traight line i 3x-1, and another traight line that i 3x, what i the are of the triangle
The area of the triangle formed by the two straight lines 3x-1 and 3x is 0 since both sides of the triangle have a length of 2/3.
A right-angled triangle is a type of triangle that has one angle that measures exactly 90 degrees.
In this scenario, we have two straight lines, one with the equation 3x-1 and another with the equation 3x.
To find the area of a right-angled triangle, we need to know the lengths of both of its sides.
Since we have the equations of the two straight lines that form the sides of the triangle, we can use these equations to find the length of each side.
The first side of the triangle can be found by finding the length of the line segment between the two points where the line 3x-1 intersects the x-axis. The x-axis is a horizontal line where the y-coordinate is 0.
Therefore, to find the two points of intersection, we set the y-coordinate of the line equal to 0 and solve for x.
=> 3x-1 = 0
=> 3x = 1
=> x = 1/3
So the two points of intersection are (1/3, 0) and (-1/3, 0). The length of the line segment between these two points can be found using the distance formula:
=> d = √((x₂ - x₁)² + (y₂ - y₁)²)
=> d = √((-1/3 - 1/3)² + (0 - 0)²)
=> d = √(-2/3)²
=> d = 2/3
So the length of the first side of the triangle is 2/3
Complete Question:
If a right-angled triangle has one straight line 3x-1 and another straight line that is 3x, what is the area of the triangle?
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The Fandago Bike Company specializes in children’s bikes. Each month, the company must keep track of their costs and revenue. Their costs consists of fixed costs that include rent, utilities, and workers’ salaries, as well as the variable cost to make the bikes. You can represent the company’s costs using the function C(x) = 25x + 900. You can represent the company’s revenue for every bike sold using the function R(x) = 100x - x².
Due to the rising costs of running a business, the Fandago Bike Company anticipates fixed costs in the next year to be $1800 per month, whereas the cost to make each bike will stay at $25 per bike.
Determine the number of bikes the company now needs to make for one month to break even when the revenue from selling bikes remains the same.
The Fandago Bike Company needs to produce 60 bikes in one month to break even when the revenue from selling bikes remains the same.
To find the number of bikes the Fandago Bike Company needs to make for one month to break even, we need to set the cost function equal to the revenue function and solve for x. This is because the break-even point is the point where the company’s revenue equals its costs.
The cost function is C(x) = 25x + 900, where x is the number of bikes produced in one month.
The revenue function is R(x) = 100x - x², where x is the number of bikes sold in one month (which we assume is equal to the number of bikes produced).
Setting C(x) = R(x), we have:
25x + 900 = 100x - x²
Rearranging and simplifying, we get a quadratic equation in standard form:
x² - 75x + 900 = 0
We can solve for x using the quadratic formula:
x =\((-b \± \sqrt(b\² - 4ac)) / 2a\)
In this case, a = 1, b = -75, and c = 900, so we have:
x = \((-(-75) \± \sqrt((-75)\² - 4(1)(900))) / 2(1)\)
Simplifying, we get:
x = (75 ± 45) / 2
x = 60 or x = 15
Since we are looking for the number of bikes the company needs to make to break even, we choose the value of x that represents the minimum number of bikes needed. In this case, x = 60, since the number of bikes produced cannot be negative.
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how do you interpret an odds ratio of 0.75? group of answer choices if exposed the outcome is .75 the odds of the outcome in the unexposed (there is a protective effect) there is no difference between groups because the odds ratio is close to 0 if not exposed the outcome is less likely since the odds ratio if less than 1 if exposed the outcome is .75 times greater than for the unexposed.
The correct interpretation of an odds ratio of 0.75 would be (a) If not exposed the outcome is less likely since the odds ratio is less than 1.
An odds ratio of less than 1 indicates a decreased odds of the outcome in the exposed group compared to the unexposed group. Specifically, an odds ratio of 0.75 suggests that the odds of the outcome occurring in the exposed group is 25% lower than the odds of the outcome occurring in the unexposed group.
Option b is incorrect as an odds ratio of 0.75 is not necessarily close to 0, and option c is incorrect because an odds ratio of 0.75 means that the odds of the outcome in the exposed group is lower than the unexposed group, not 75 times greater. Option d is also incorrect as a protective effect would be observed if the odds ratio were less than 1.
Therefore, the correct option is (a) If not exposed the outcome is less likely since the odds ratio is less than 1.
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The given question is incomplete, the complete question is:
How do you interpret an odds ratio of 0.75? a) If not exposed the outcome is less likely since the odds ratio if less than 1 b) There is no difference between groups because the odds ratio is close to 0 c) If exposed the outcome is 75 times greater than for the unexposed. d) if exposed the outcome is 75 the odds of the outcome in the unexposed (there is a protective effect)
if someone would me it would meaqn alott
Answer:
ration of bream to tench to carp
12: 7: 21
Step-by-step explanation:
12/40 = bream
28/40 = not bream
(28/40) x (1/4) = tench
(28/40) x (3/4) = carp
tench = (28/40) x (1/4)
= 7/40
carp = (28/40) x (3/4)
= 21/40
ration of bream to tench to carp
12: 7: 21
Answer:
12:7:21
Step-by-step explanation:
If you have 40 total, the non-bram are (40-12) = 28. One quarter of them, or 7 (since 7x4=28)are trench. It leaves 28-7= 21 carps. The total ratio is: 12:7:21. Since the three numbers are co-primes (ie, they don't share a divisor between all 3) there is no way to simplify the ratio (or, if you prefer, their sum, 40, is the minimum ammount of fishes you need to have a whole number of fishes in the pond).
Use the graph to evaluate f (-2)
Answer:
f(- 2) = 4
Step-by-step explanation:
To evaluate f(- 2), locate x = - 2 on the x-axis, go vertically up to meet the graph at (- 2, 4 )
The value of y at x = - 2 is 4, then
f(- 2) = 4
This is the graph of y=-x^2-4x-7. What is the range of this function?
Given the function:
\(y=-x^2-4x-7\)Let's find the range of the function using the graph.
The range of a function is the set of all possible values of y in the function. The range is also called the output.
The range is represented on the vertical axis of the graph.
From the graph shown, we can see the y-values start from the point -3 and the parabola goes down.
This means the range of the function is all values of y less than or equal to -3.
Thus, the range of the function is:
\(y\leq-3\)ANSWER: A
\(y\leq-3\)
Which expression is not equivalent to -2(4 - 3x)+(5x-2)? A)11x-10.
B)-8+11x-2
C) -8-11x-2.
D) -8+6x+5x-2
Answer:
C) -8-11x-2.
Step-by-step explanation:
First solve the expression,
-2(4 - 3x)+(5x-2) = 11x-10
A) 11x-10 = 11x-10
B) -8+11x -2 = 11x-10
C) -8-11x-2 does not equal 11x-10. Instead -8-11x-2 = -11x-10
D) -8+6x+5x-2 = 11x-10
Hope this helped! :)
I NEED HELPPP ON THISS ONEE PLEASSEEEE
Answer:
6 , 9
Step-by-step explanation:
- 3 x - 4y = - 54
4x + 4y = 60
Eliminate => x = 6
x + y = 15
when x =6 ; => y = 9
Find the area of the circle.
Answer:
have of 18 is 9
9^2 is 81
81 x 3.14(pi) = 254.34
Formula of area of a circle:
half of diameter or given radius squared
Times
3.14(pi) or whatever you use for pi.
answer if ur right u can get on of them crown things
Answer:
....
Step-by-step explanation:
3.6 units
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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Identify the graph of the solution set of -2.3< 4 + 0.9y
Complete the proof of the identity by choosing the Rule that justifies each step. cos²x(1 + tan’x) = 1 To see a detailed description of a Rule, select the More Information Button to the right of th Statement Rule cos?x(1 + tanx) = cosx (secºx) Rule ? = COS X Rule ? COS X = 1 Rule ? ?
The proof of the identity cos²x(1 + tan²x) = 1 is complete using the mentioned rules.
Complete the proof of the identity cos²x(1 + tan²x) = 1?Hi! I'd be happy to help you complete the proof of the identity cos²x(1 + tan²x) = 1 using the given terms.
1. Statement: cos²x(1 + tan²x) = cosx (sec²x)
Rule: Identity (using the identity tan²x = sec²x - 1)
2. Statement: cosx (sec²x) = cosx (1 + cos²x)
Rule: Identity (using the identity sec²x = 1/cos²x)
3. Statement: cosx (1 + cos²x) = cos²x + cos⁴x
Rule: Distributive Property (cosx * 1 + cosx * cos²x)
4. Statement: cos²x + cos⁴x = 1
Rule: Pythagorean Identity (since cos²x + sin²x = 1, we substitute sin²x with 1 - cos²x and simplify)
So, the proof of the identity cos²x(1 + tan²x) = 1 is complete using the mentioned rules.
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DeShawn and Bill are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. DeShawn sold 3 apple pies and 7 blackberry pies for a total of $99. Bill sold 2 apple pies and 14 blackberry pies for a total of $178. What is the cost each of one apple pie and one blackberry pie
3 apple + 7 blackberrys = 99
2 apple + 14 blackberrys = 178
Then now find
apples = (99 - 7 B)/3 = (178 - 14B)/2
Now make cross multiply
(99 - 7B) •2 = (178 - 14B) •3
Solve parenthesis, use a (b+c) = ab + ac
Then
198 - 14B = 534 - 42B
Now find Blackberrys B PRICE
42B - 14B = 534 - 198
28B = 336
B= 336/28 = 12
Now find Apples price
Apples= ( 99 - 7B) /3 = (99 - 7•12)/3 = 15/3= 5
Then final answer is
Apple's price= $5
Blackberry's price= $12
eric walks around a man-made circular lake (pictured above) two times. how far (in miles) has he walked?
The amount of total distance walked (in miles) has walked by Eric in a man made circular lake is 62.8 miles.
A circle's circumference is the length of its perimeter. The circumference of a circle can be calculated using length units such as centimeters, meters, or kilometers by opening a circle and measuring the boundary in the same way that we would measure a straight line.
Let's now discover the components of circumference. The three most crucial components of a circle are those three.
Center: The circle's center is a point that is set apart from the other points on the circumference by a predetermined amount.Diameter: The diameter is the distance across the circle that must pass through the center; it is a line that must meet the circumference at both ends.Radius: The radius of a circle is the distance a circle's center is from any point along its perimeter.Circumference = D*π
Total distance walked two times = 2.C
=2* D* π
=2x10x3.14
=62.8 miles
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PLEASE HURRY PLEASSEEEE i need help
Answer:
5
Step-by-step explanation:
We cannot repeat an x value for the relation to be a function
Since x=3 ,4, 7 are already used
We must let x=5
Wendy aged 10 and Irene aged 12 share 55 cedis in the ratio of their ages.how much dose Wendy receive
The amount received by each person are:
Amount that Wendy will receive is: $25
Amount that Irene will receive is: $30
How to solve ratio problems?The steps to solve this ratio problem are as follows:
Step 1: Add together the parts of the ratio to find the total number of shares.
Step 2: Divide the total amount by the total number of shares.
Step 3: Multiply by the number of shares required.
We are given that:
Age of Wendy = 10
Age of Irene = 12
Total amount to share = 55 cedis
Thus:
Amount that Wendy will receive = (10/22) * 55 = $25
Amount that Irene will receive = (12/22) * 55 = $30
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Lotteries In a New York State daily lottery game, a sequence of two digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that both are different.
The probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10.
To find the probability that both digits in a New York State daily lottery game are different, we need to first calculate the total number of possible outcomes. Since there are 10 digits (0-9) that can be selected for each of the two digits in the sequence, there are a total of 10 x 10 = 100 possible outcomes.
Now, we need to determine the number of outcomes where both digits are different. There are 10 possible choices for the first digit and only 9 possible choices for the second digit, since we cannot choose the same digit as the first. Therefore, there are a total of 10 x 9 = 90 outcomes where both digits are different.
The probability of both digits being different is equal to the number of outcomes where both digits are different divided by the total number of possible outcomes. Thus, the probability is 90/100, which simplifies to 9/10, or 0.9.
In summary, the probability that both digits in a New York State daily lottery game are different is 0.9, or 9 out of 10. This means that there is a high likelihood that both digits selected will be different.
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Can some help simplify this question, with positive exponents
Answer:
4\(a^{9}\)\(b^{8}\)
Step-by-step explanation:
\(\frac{8a^{6}b^{12} x 4a b^{3} }{8x^{-2}b^{7} }\)
\(\frac{32a^{7} b^{15} }{8a^{-2} b^{7} }\)
4\(a^{9}\)\(b^{8}\)
Helping in the name of Jesus.
Find the equation of the line.
Use exact numbers.
y =
x+
Answer: y= 2/3x+4
Step-by-step explanation:
Joan draws a bar chart to show the temperatures at midday on March 1st in five cities. Joan has made four mistakes in her diagram. Write down any three of them.
Answer:
Step-by-step explanation:
Properties of a bar graph:
1). There should be equal space between the bars or the columns.
2). Width of each bar or columns should be same.
3). All bars should have same base.
4). Height of each bar will show the value of the data.
By these properties,
- Space between London-Paris, Rome-Oslo are not equal.
- Width of Munich bar is different from other bars.
Suppose a normal distribution has a mean of 50 and a standard deviation of
3. What is P(x≤44)?
Answer:
.0228
Step-by-step explanation:
44 is two standard deviations below the mean z-score = -2
look up z-score = -2 in z-score table
= .0228 or 2.28 %
Answer:
0.025
Step-by-step explanation:
glen sarin is a photographer who is wondering if there is an association between the number of photographs she takes and percent cloud coverage. her record is shown in the scatterplot. how many photographs did she take when the cloud coverage was 4 percent or less?
When the cloud coverage was 4 percent or less, Glen Sarin took approximately 45 photographs.
Glen Sarin, the photographer, wonders if there is a correlation between the percentage of cloud cover and the number of photographs she captures. She maintains a record that is depicted in the scatterplot below.
When the cloud coverage was 4 percent or less, how many photographs did she take?We can observe that, as the percentage of cloud cover increases, the number of photographs taken by Glen Sarin decreases. As per the scatterplot,
This can be done by reading the point where the 4% line of cloud cover intersects with the line of best fit and drawing a line perpendicular to the x-axis to see what is the corresponding y-value (which represents the number of photographs)
This can be interpreted as follows: the scatterplot shows a negative correlation between the percentage of cloud cover and the number of photographs taken.
This indicates that as the percentage of cloud cover increases, the number of photographs taken decreases. Glen Sarin may use this information to make informed decisions about when and where to photograph.
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