Answer: 4
Step-by-step explanation: g(x) = A*cos(bx) + c When you see a function of the form f(x) = A*sin(bx) + c or g(x) = A*cos(bx) + c where A, b and c are constants, its amplitude is equal to A, the coefficient at sine or cosine.
The amplitude of the given function is 4.
What is amplitude?The maximum displacement or distance moved by a point on a vibrating body or wave, measured from its equilibrium position, is called its amplitude.
Given is a function, y = 4sin (3x + 2) + 1
The given equation is the form of y = a sin(bx+c) + d, the amplitude of the function is given by the by a,
On comparing the given equation with y = a sin(bx+c) + d, it gives a = 4
Hence, the amplitude of the given function is 4.
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What is the slope of a line parallel to the line y = 4x – 11?
A personnel manager has found that, historically, the scores on aptitude tests given to applicants for entry-level positions follow a normal distribution with standard deviation 21.73 points. A random sample of 14 test scores from the current group of applicants had a mean score of 74.57 points. Based on these sample results, a statistician found for the population mean a confidence interval extending from 65.7425 to 83.3975 points. Find the confidence level of this interval. Round off your answer to two decimal places.
Answer:
The value is [tex]C = 85\%[/tex]
Step-by-step explanation:
From the question we are told that
The standard deviation is [tex]\sigma = 21.73[/tex]
The sample size is n = 14
The mean score is [tex]\= x = 74.57[/tex]
The confidence interval is 65.7425 to 83.3975
Generally the degree of freedom is mathematically represented as
[tex]df = n -1[/tex]
=> [tex]df = 14 -1[/tex]
=> [tex]df = 13[/tex]
Generally the margin of error is mathematically evaluated as
[tex]E = \frac{83.3975 -65.7425 }{2}[/tex]
=> [tex]E = 8.828[/tex]
Generally this margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2} , df} * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]8.828 = t_{\frac{\alpha }{2} , df} * \frac{21.73 }{\sqrt{14} }[/tex]
=> [tex]t_{\frac{\alpha }{2} , df} = 1.520[/tex]
From the t distribution table the probability of [tex]( t> 1.520 )[/tex] at a degree of freedom of 13 is
[tex]\frac{\alpha }{2} = P( t > 1.52 ) = 0.076[/tex]
=> [tex]\alpha = 2 * 0.076[/tex]
=> [tex]\alpha = 1.52[/tex]
So the confidence level is evaluated as
[tex]C = 1- \alpha[/tex]
=> [tex]C = 1- 0.152[/tex]
=> [tex]C = 0.85[/tex]
Converting to percentage
=> [tex]C = 0.85 * 100[/tex]
=> [tex]C = 85\%[/tex]
Which line is parallel to the line y = 2x + 7 and passes through the point (1, 4)? *
2 points
(y - 4) = 2(x - 1)
(y - 4) = 7(x - 1)
(y + 4) = 2(x + 1)
(y + 4) = 7(x + 1)
Answer:y-4=2(x-1)
Step-by-step explanation:
It has the same slope as the y=2x+7, making it parallel, and crosses the point (1,4)
The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. Find the width of the rectangle. Type a numerical answer in the space provided.
Answer:
w mean widh
Step-by-step explanation:
p=2l+2w
given w+4 2+w p= 34
34 =2w+4 + 2 w
w=24
26
_ 6.5
4
L w+4 =6.5 +4 =10.5
This is hard I’d love help
Jimmy is buying balloons and party hats for his little sister’s birthday party. The party store charges $1.50 for each bag of balloons and $6.00 for each package of hats. Which of the following equations could be used to determine different combinations of b bags of balloons and h packages of party hats that he could buy for a total of $24 ?
Answer:
4 bags of balloons and 3 bags of party hats
Step-by-step explanation:
1.50 x 4= 6
6 x 3= 18
6+18=24
The equation that could be used to determine different combinations will be 4b + 3h.
Based on the information given, the party store charges $1.50 for each bag of balloons and $6.00 for each package of hats.
Therefore, the equation that fits the explanation will be: 4b + 3h.
= 4b + 3h.
= 4(1.50) + 3(6)
= 6 + 18
= 24.
Therefore, the equation is 4b + 3h.
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Which decimal is the best best estimate of the fraction 29/40
A. 0.5
B. 0.6
C. 0.7
D. 0.8
Answer:
C
Step-by-step explanation:
I hope this helps!!!!
The best estimate of the fraction 29/40 would be; 0.7
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Division can be interpreted as equally dividing the number that is being divided into total x parts, where x is the number of parts the given number is divided.
We need to find the decimal that best best estimate of the fraction 29/40
A negative divided by a negative is positive, then;
29/40 = 0.72
Therefore, The best estimate of the fraction 29/40 would be; 0.7
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what energy is made when you do a backflip?
Answer:
kinetic energy is possessed
need help on homework
A farmer is looking at his tractor at the other end of his field. Assume the field is mapped onto the coordinate plane as shown in the graph. What is the exact distance from the farmer to his tractor?
Question 5 options:
A)
units
B)
units
C)
units
D)
units
The distance of the farmer to the tractor would be gotten by subtracting the coordinate of the farmer from that of the point of the tractor.
What is distance?The definition of distance in mathematics is the shortest space that lies between two different points.
Given that the points that the farmer and the tractor are standing on are unspecified, the distance would be point of farmer subtracted from that of the tractor.
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which equation matches this graph?
If ( y+6=3/4(x+4) ) is your equation then A is your answer
----% of 50 shirts is 35 shirts
Answer:
70%
Step-by-step explanation:
50/10 is 5 (which is 10%). 5 x 7 is 35 (or 70%)
sort the following number from greatest to least 12%, 3,75, 9/10, 7, 176%, 4/5
Answer:
the answer is
3, 7, 12%, 75, 4/5, 9/10, 176%
Step-by-step explanation:
x-3=1/2x
find x
please help
Answer:
x=6
Step-by-step explanation:
2x-6=x
2x-x=6
x(2-1)=6
x=6
Answer: x=6
Step-by-step explanation:
simplify 1 over 2x to x over 2. multiply both sides by 2. subtract 2x from both sides. simplify x minus 2x to negative x. multiply both sides by -1. switch sides.
Determine the probability that it will not rain for the next two weeks. Express your answer as a decimal precise to two decimal places.
Answer:
Probability of not raining in next two weeks is 0.696
Step-by-step explanation:
Let us calculate -
Probability diagram is attached below .
Probability of not raining in next week is 0.8
Probability of not raining in second week is 0.87
Therefore, Probability of not raining in next two weeks = [tex]0.8\times 0.87[/tex]
= 0.696
Thus , the probability is 0.696
2 over 3 divided by 6 ?
Answer:
1/9
Step-by-step explanation:
-(5x + 6) - x = -6 - 6x
If your question is a True or False question your answer is: True
7.53333333333 as a fraction
Answer:
Step-by-step explanation:
Step by step
Step 1 of 2: Convert decimal to fraction.
Convert decimal to fraction
Step 2 of 2: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 753 and 100. The result can't be further reduced.
Step 2 of 2: Convert improper fraction to mixed number.
Convert improper fraction to mixed number
753 ÷ 100 = 7 remainder 53
Talia measured a piece of construction
paper to be 6.1 inches wide by 8.2 inches
long. What is the area of the piece of
construction paper in square inches?
Answer:
50.02
Step-by-step explanation:
9.2x6.1=50.02 square inches
Ben goes to buy some school supplies at a store. He has $30.
COST OF SCHOOL SUPPLIES
Cost per Item
Items
(in dollars)
Notebook
12.50
Pen
0.75
Pencil box
2.25
Stapler
7.00
Calculator
17.00
Answer:
it’s a Stapler, to pencil boxes and two pens
Step-by-step explanation:
are you have to do is add a calculator stapler stapler to pencil boxes and two pens altogether and you get exactly 30/// So technically you add 17+7+4.5+1.5
can someone help me plz
28 PLEASE GIVE BRAINLIEST
Katie Perry is standing 30 feet away from the entrance to a store. She sees Taylor Swift walk out of the store, and Katie keeps walking away from her at speed of 4 feet each second. Write an equation that represents Katie's distance from the store's entrance.
PLEASE HELP MEMEMEMEME
Answer:
y=4x+30
Step-by-step explanation:
y is distance, x is time
17. The sum of three consecutive integers is three times the second integer.
Show that this is true for the three consecutive integers 7, 8, and 9.
I
twork being lat
Set up an equation that models this statement.
Show, by solving the equation, that this equation will always be true for any three consecutive integers.
Answer:
By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.
Step-by-step explanation:
Answer:
Step-by-step explanation:
7+8+9=24.
8 is the second integer and 8*3=24.
Which of the following is true about the equation y =
-5x + 10?
A The equation has a positive y-intercept.
B
The equation has a negative y-intercept.
C The equation has a positive slope.
D The equation is proportional.
Answer:
A The equation has a positive y-intercept.
Step-by-step explanation:
pls mark brainliest :)
Answer:
A
Step-by-step explanation:
The y intercept is represented by the letter b in y=mx+b so in this case, 10 is the y intercept and is positive.
A pass at a water park is $58. Halfway through the season, the pass is discounted by 20%. What was the discounted price?
Answer:
Step-by-step explanation:
First, list the fractions in between. 2.41, 2.42, 2.43, 2.44, 2.45, 2.46, 2.47, 2.48, 2.49, then 2.5. When looking at the list, you can see that 2.45 is halfway between 2.4 and 2.5. One other way to find it is thinking what is between 0 to 10? The answer is 5.
what is it. hurry please.
Step-by-step explanation:
we know that,
area of rectangle = length × breadth
Then,
area of rectangle EFGH = (e + h) × j
Therefore,
Option C is correct ✔.
Help me please 50 points .
Answer:
D. $80
Step-by-step explanation:
kayla equation: 30x+20=y
Sara equation: 35x+10=y
30x+20=35x+10
10=5x
2=x
30(2)+20=$80
35(2)+10=$80
Answer: $80
Step-by-step explanation:
Kayla:
Lesson fee ($30) + first-time fee ($20) = 50
Another lesson fee will make is $80
Sara:
Lesson fee ($35) + first-time fee ($10) = 45
Another lesson fee will make $80
Answer = 80
After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day?
Answer:
8 weeks
Step-by-step explanation:
1. Write out the equation
12+6x=60
2. Subtract 12 from both sides
6x = 48
isolate the variable (divide 6 on both sides)
x= 8
Point A is rotated 90 degrees counterclockwise around point C to form the image A'. Select three true statements based on the given information.
Answer:
When we rotate a point A, around point C, the distance between the points is invariant.
This means that if A' es the image of the rotated point, then A' must lie in a circle centered in C with radius AC.
Then the correct statements are:
A' lies on a circle centered at point C with radius AC
This is by definition.
m∠ACA' = 90°
This is because A is rotated 90° around C to form the image A', then the measure must be 90°.
AC = A'C
As we already defined, the distance between the rotated point and the center of rotation is invariant, then the distance between A and C must be the same as the distance between A' and C.
Answer:
AC = A'C
A' lies on a circle centered at point C with radius AC
m∠ACA' = 90°
Step-by-step explanation:
When we rotate a point A, around point C, the distance between the points is invariant.
This means that if A' es the image of the rotated point, then A' must lie in a circle centered in C with radius AC.
As we already defined, the distance between the rotated point and the center of rotation is invariant, then the distance between A and C must be the same as the distance between A' and C.
Please help y < 5 inequality
Answer:
Step-by-step explanation:
