Answer:
Betty's boss use the MEAN to describe the average tip.
Betty use the MEDIAN.
Step-by-step explanation:
The MEAN is 50+45+48+125+85= 353
353/5=70 or 70.6
The MEDIAN is the middle which is 50.
45,48,50,85,125
Hope this helps
Final answer:
The mean tip amount Betty made was $70.60, and the median was $50. Betty's boss used the mean to describe her average nightly tips, whereas Betty used the median.
Explanation:
To calculate the mean and median tip amount for Betty's nightly tips, we list her tips from last week: $50, $45, $48, $125, and $85. To find the mean, we add all the tip amounts together and divide by the number of days she worked. Betty worked 5 days, so the mean is calculated as: (50 + 45 + 48 + 125 + 85) / 5 = $70.60. The median is the middle number when the tips are arranged in order, which are $45, $48, $50, $85, and $125. Thus, the median tip amount is $50.
Based on this information, Betty's boss used the mean to describe her average tip, while Betty herself used the median to describe her average tip.
Check my answer?
The law of cosines reduces to the Pythagorean Theorem when the triangle is right.
True or False
I select False
Answer: you have the correct answer hope this helped please mark me the brainlest answer have a good day mate
A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?
Answer:
The answer is 10
Step-by-step explanation:
The value of f(5) will be 10 for the given sequence.
What is Sequence?A grouping of two or more items in a logical sequence. the sequential arrangement of two or more items. The sequence is a term used to describe chronological order. You should be familiar with the following four primary categories of sequences: arithmetic sequences, geometric sequences, quadratic sequences, and special sequences. a collection of two or more elements arranged logically. the placement of two or more elements in a particular order. The word "sequence" refers to chronological order. Arithmetic sequences, geometric sequences, quadratic sequences, and special sequences are the four main types of sequences that you should be aware of.
Given, A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18.
for n = 1
f(2) = f(1) - 2 = 18 -2 = 16
for n = 2
f(3) = f(2) - 2 = 16 - 2 = 14
for n = 3
f(4) = f(3) - 2 = 14- 2 = 12
for n = 4
f(5) = f(4) - 2 = 12-2 = 10
Therefore, For the above sequence, f(5) will have the value of 10.
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what times what gives me -48 but adds to be -32?
Answer:
a couple of irrational numbers: -16±4√19, approximately {1.436, -33.436}
Step-by-step explanation:
Your question can be cast as the quadratic equation
x² +32x -48 = 0
The solutions can be found using the quadratic formula:
x = (-32 ±√(32² -4(1)(-48)))/(2(1)) = -16±√304 = -16±4√19
_____
Comment on the equation we used
We notice that when p and q are roots, the equation can be written ...
(x -p)(x -q) = 0 = x² -(p+q)x +pq
You want p+q = -32, pq = -48, so the equation is ...
x² -(-32)x +(-48) = 0
x² +32x -48 = 0 . . . . . . with parentheses eliminated
Please help me!
Q) Two rectangles have the same width. One is 12 units long and the other is 8 units long. The area of the first rectangle is 320 square units more than the area of the second rectangle. Find the width of each rectangle.
Answer:
80
Step-by-step explanation:
A = Area of First Rectangle
B = Area of Second Rectangle
w = Width
12(w)=320+B (1st Equation)
8(w) = B (2nd Equation)
w=B/8 (Plug this value of w into the first equation)
12B/8 = 320 +B (you get this)
12B= 2560 + 8B (Simplify)
4B = 2560
B =640 plug this value into the 2nd equation
8(w) = 640
w = 80
To Test This
12x80 = 960
8x80 = 640
960 - 640 = 320 Therefore the answer is correct the width is 80
1 litre is approximately 1.75 pints, 1 gallon = 8 pints, calculate the approcimate number of gallons that are equal to 48000cm3
Answer:
[tex]10.5\ gal[/tex]
Step-by-step explanation:
we know that
[tex]1,000\ cm^{3} =1\ l[/tex]
[tex]1\ l=1.75\ pints[/tex]
[tex]1\ gal=8\ pints[/tex]
we have
[tex]48,000\ cm^{3}[/tex]
step 1
Convert to liters
[tex]48,000\ cm^{3}=48,000/1,000=48\ l[/tex]
step 2
Convert to pints
[tex]48\ l=48*1.75=84\ pints[/tex]
step 3
Convert to gallons
[tex]84\ pints=84/8=10.5\ gal[/tex]
The approximate number of gallons that are equal to 48000cm3 is 12.67 gallons.
1 liter is approximately 1.75 pints, 1 gallon = 8 pints
To convert 48000 cm³ to gallons, first recognize that 1 liter is 1000 cm³.
Therefore, 48000 cm³ is 48 liters.
Next, knowing that 1 gallon is approximately 3.79 liters, divide 48 by 3.79 to get approximately 12.67 gallons.
Dewight is proving the sum formula for the sine function. He has started his proof, what property should he use to complete the next line?
Answer:
C) the difference identity for the cosine function
Step-by-step explanation:
The last line showing shows the cosine of the difference of two angles. The difference identity for the cosine function would seem to be indicated.
The given tables each show the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building. Which table best represents a linear relationship? '
A. Number of Days 140 300 520 740 960 Number of Stories 4 8 12 16 20
B. Number of Days 120 240 360 480 600 Number of Stories 5 10 15 20 25
C. Number of Days 30 60 120 240 480 Number of Stories 2 4 6 8 10
D. Number of Days 90 225 400 680 960 Number of Stories 3 6 9 12 15
Answer:
The correct answer option is B. Number of Days 120 240 360 480 600 Number of Stories 5 10 15 20 25.
Step-by-step explanation:
We are given some tables showing the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building.
We are to determine whether which table represents a linear relationship.
Table B represents a linear relationship since its ratio of number of days to number of stories completed is constant.
Number of Days 120 240 360 480 600
Number of Stories 5 10 15 20 25
Ratio 24 24 24 24 24
A playing field is rectangular with a length of 100 yards and a width of 53 yards, 1 foot. If a player runs diagonally across this rectangle, how far will he run? [Hint: Use units of feet to perform your calculations.]
How far has the player run?
First convert yards to feet.
1 yard = 3 feet.
100 x 3 = 300 feet long.
53 x 3 = 159 + 1 = 160 feet wide.
Now use the Pythagorean theorem to find the diagonal.
x^2 = 300^3 + 160^2
x^2 = 90000 + 25600
x^2 = 115600
x = √115600
x = 340 feet
please help 80 points for 2 questions please answer all parts and show your work! due today!!!!
Part A
The scatterplot is shown the attachment.
Part B
Using a linear regression equation that models Patrick's referrals has a positive slope.
This means that, there is a positive relation between time(number of days),x and the number of personal recommendations, y.
In other words, as the number of days increases, the number of personal recommendations also increases.
Question 2.
The given functions are:
[tex]y=x^2+3x-5[/tex]
[tex]y=4x+1[/tex]
To find the point where the graphs of these functions intersect,we solve the two equations simultaneously.
We equate the two equations to get:
[tex]x^2+3x-5=4x+1[/tex]
[tex]x^2+3x-4x-5-1=0[/tex]
[tex]x^2-x-6=0[/tex]
Factor to obtain:
[tex](x-3)(x+2)=0[/tex]
x=3 and x=-2
We put x=-2, into [tex]y=4x+1[/tex] to get;
[tex]y=4(-2)+1=-7[/tex]
when x=3 [tex]y=4(3)+1=13[/tex]
Therefore the graphs intersect at (-2,-7) and(3,13).
Yes, solution is correct.
Depending on the day of the week, a border guard searches every nth person coming across the border. Each Tuesday every 7th person is checked. What is the name of this method of sampling?
Convenience Sampling
Systematic Random Sampling
Stratified Random Sampling
Simple Random Sampling
the answer is "Systematic Random Sampling"
I NEED THE ANSWER ASAP
Jasmin and Jarvis are going to the donut shop. They have two options, donuts or donut holes and two toppings chocolate or sprinkles. Create a tree diagram to represent the sample space.
So first do the diagram (vent) and but two and two donuts until a odd number pops I think the answer is 5.
Help with this question, please! I don't understand!
Answer:
m∠LPM = 60°
Step-by-step explanation:
The measure of the angle facing the marked arcs is the average of the measures of the arcs:
m∠LPM = (1/2)(40° +80°) = 60°
The lengths of trout in a lake are normally distributed with a mean of 30 inches and a standard deviation of 4.5 inches.
Enter the z-score of a trout with a length of 28.2 inches.
Answer:
-0.4
Step-by-step explanation:
z score is:
z = (x - μ) / σ
For x = 28.2, μ = 30, and σ = 4.5:
z = (28.2 - 30) / 4.5
z = -0.4
Answer: -0.4
Step-by-step explanation:
Given: Mean : [tex]\mu=30\text{ inches}[/tex]
Standard deviation : [tex]\sigma=4.5\text{ inches}[/tex]
The formula to calculate z-score is given by :-
[tex]z=\dfrac{X-\mu}{\sigma}[/tex]
For X = 28.2 inches, we have
[tex]z=\dfrac{28.2-30}{4.5}\\\\\Rigahtarrow\ z=-0.4[/tex]
Hence, the z-score of a trout with a length of 28.2 inches.= -0.4
The wheels on Kiran's bike are 64 inches in circumference. How many times do the wheels rotate if Kiran rides 300 yards?
Answer:
168.75, about 169 times
Step-by-step explanation:
1 yd= 36 in
300 yd= 10800 in
10800 in/ 64 in=168.75
Answer:
169
Step-by-step explanation:
We are given that
Circumference of Kiran's bike wheel=64 in
Kiran rides total distance=300 yards
We have to find number of rotations made by wheel.
We know that
1 yard=36 in
300 yards=[tex]36\times 300=10800 in[/tex]
Number of rotation=[tex]\frac{Total\;distance\;covered\;by\; wheel}{Circumference\;of\;wheel}[/tex]
Number of rotations=[tex]\frac{10800}{64}=168.75\approx 169[/tex]
Hence, the wheel rotate=169 times
The hypotenuse of a right triangle is 3cm and one of the legs is 1cm. What is the length of the other leg?
A. 4cm
B. Square root 10cm
C. 2cm
D. 2 Square root 2cm
Check the picture below.
Simplify Radicals
What is the difference of 25√7 - 2√63
Answer:
[tex] 19\sqrt{7} [/tex]
Step-by-step explanation:
[tex] 25\sqrt{7} - 2\sqrt{63} = [/tex]
[tex] = 25\sqrt{7} - 2\sqrt{9 \times 7} [/tex]
[tex] = 25\sqrt{7} - 2\sqrt{9} \sqrt{7} [/tex]
[tex] = 25\sqrt{7} - 2\times 3 \sqrt{7} [/tex]
[tex] = 25\sqrt{7} - 6 \sqrt{7} [/tex]
[tex] = 19\sqrt{7} [/tex]
A ball is shot into the air using a brand new super-high-tech robotic arm to help baseball players practice catch fly balls.
The ball has an initial upward velocity of 64 feet per second. The height, h, of the ball after t seconds is given by the
equation:
Answer:
69 feet
Step-by-step explanation:
we have
[tex]h(t)=-16t^{2}+64t+5[/tex]
where
h(t) is the height of the ball
t is the time in seconds
we know that the given equation is a vertical parabola open downward
The vertex is the maximum
so
the y-coordinate of the vertex represent the maximum height of the ball
Convert the quadratic equation into vertex form
The equation in vertex form is equal to
[tex]y=(x-h)^{2}+k[/tex]
where
(h,k) is the vertex of the parabola
[tex]h(t)=-16t^{2}+64t+5[/tex]
[tex]h(t)-5=-16t^{2}+64t[/tex]
[tex]h(t)-5=-16(t^{2}-4t)[/tex]
[tex]h(t)-5-64=-16(t^{2}-4t+4)[/tex]
[tex]h(t)-69=-16(t^{2}-4t+4)[/tex]
[tex]h(t)-69=-16(t-2)^{2}[/tex]
[tex]h(t)=-16(t-2)^{2}+69[/tex]
the vertex is the point (2,69)
therefore
The maximum height is 69 ft
Which of the following illustrates the truth value of the given conditional statement? If 3 + 2 = 5, then 5 + 5 = 10. T F → F T T → T F T → T F F → F
Answer:
T T → T
Step-by-step explanation:
A conditional statement, signified by t f which means true and false, is an if-then statement with t being a hypothesis and f being an inference. The statement that illustrates the truth value is T T → T because 3 + 2 = 5 which is true and 5 + 5 = 10 which is also true.
At most, Alana can spend $40 on carnival tickets. Ride tickets cost $4 each, and food tickets cost $2 each. Alana buys at least 16 tickets. The system of inequalities represents the number of ride tickets, r, and the number of food tickets, f, she buys. r + f ? 16 4r + 2f ? 40 What is the maximum number of ride tickets she can buy? 4 6 10 12
Answer:
4
Step-by-step explanation:
Here let the number of ride tickets be r, and the number of food tickets be f.
Hence
[tex]r+f\ge16\\4r+2f\le40[/tex]
We first plot the two inequalities on graph as shown in attachment. From the graph we see that the two in-equation meet at (4,12)
Hence we can see that the maximum value of r is 4
Answer:
4
Step-by-step explanation: the maximum number of ride tickets she can buy is 4. so option a is correct
What is an equation for a sine curve with amplitude 2
ANSWER
[tex]y = 2 \: \sin(x) [/tex]
EXPLANATION
A basic sine curve has equation in the form:
[tex]y = a \: \sin(x) [/tex]
Where 'a' is the amplitude.
In this case a=2 because the amplitude is 2.
[tex]y = 2 \: \sin(x) [/tex]
For a transformed sine function, the general equation is:
[tex]y = a \: \sin(bx + c) + d[/tex]
where a=2 is still the amplitude
[tex]y = 2 \: \sin(3x + \pi) [/tex]
This is also a sine function with an amplitude of 2.
Others include:
[tex]y = 2 \: \sin(x + 1) [/tex]
[tex]y = 2 \: \sin(4x - \pi) [/tex]
e.t.c
plz help I'm lost!!!!!
Answer:
D.
Step-by-step explanation:
A linear function is one that has a constant rate of change.
On table D, we can see that it has a constant rate of +2 as every time x increases by 1, y increases by 2.
Answer:
D
Explanation:
Because linear function is having the same difference or in another way it’s having the same rate of change.
Good luck,!~s
Reposting because I seriously need help. Please, this is time sensitive!
Which ordered pair is the best estimate for the solution of the system of equations?
{y=4x−19.4 y=0.2x−4.2
(4, −3.4)
(4.9, 0)
(−3.5, 4)
(4.9, −3.5)
The solution of the linear equations y = 4x − 19.4 and y = 0.2x − 4.2 will be (4, -3.4). Then the correct option is A.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equations are given below.
y = 4x − 19.4 ...1
y = 0.2x−4.2 ...2
From equations 1 and 2, then we have
4x - 19.4 = 0.2x - 4.2
3.8x = 15.2
x = 4
Then the value of the variable 'y' will be calculated as,
y = 4 (4) - 19.4
y = 16 - 19.4
y = - 3.4
The solution of the linear equations y = 4x − 19.4 and y = 0.2x − 4.2 will be (4, -3.4). Then the correct option is A.
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Kai correctly used the different laws of logarithms to rewrite log27 - log(3/5) -log 5 as one logarithm.
His work is shown here
Step one: Log27-(log3- log5) -log 5
Step two: log (3^3) -log 3+ log 5- log 5
Step three: log (3^3) - log3
Step 4: 3 log3- log 3
Step 5: 2 log 3
Step 6: log (3^2)
Step 7: log 9
In which step(s) did kai apply the difference law for logarithms
A- step 3
B- step 5
C- step 4
D- step 1
Answer:
A
Step-by-step explanation:
Final answer:
In step 3 of Kai's calculations, he applied the difference law for logarithms.
Explanation:
In step 1, Kai applied the difference law for logarithms by subtracting the logarithms of 3 and 5 from the logarithm of 27.
In step 3, Kai further simplified by using the property that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number. In this case, he applied this property to rewrite 3^3 as (3^2).
Therefore, the correct answer is Step 3.
Estimate the line of best fit using two points on the line. (10, 32) (20, 62)
A. y = 10x
B. y = 3x + 2
C. y = 10x + 10
D. y = 3x + 20
B. 3x+2 is the correct answer
Answer: The correct option is
(B) [tex]y=3x+2.[/tex]
Step-by-step explanation: We are given to estimate the line of best fit using the following two points on the line.
(10, 32) and (20, 62).
We know that
the slope of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
So, the slope of the given line will be
[tex]m=\dfrac{62-32}{20-0}=\dfrac{30}{10}=3.[/tex]
Since the line passes through the point (10, 32), so its equation is given by
[tex]y-32=m(x-10)\\\\\Rightarrow y-32=3(x-10)\\\\\Rightarrow y=3x+30+32\\\\\Rightarrow y=3x+2.[/tex]
Thus, the required equation of the line of best fit is [tex]y=3x+2.[/tex]
Option (B) is CORRECT.
Point O is the center of the circle in the diagram. What is m/_BCA
Answer:
< BCA = 70
Step-by-step explanation:
The complete central angle of a circle is 360 degrees. The given portion is 250 degrees.
What is left over? BOA = 360 - 250 = 110
Tangents always meet the radius at 90 degrees. Since there are two tangents <CAO = <BAO = 90 degrees.
So piecing it all together, the equation becomes
<BAO + CAO + BAO + ACB = 360
110 + 90 + 90 + <ACB = 360
290 + <ACB = 360
<ACB + 290 - 290 = 360 - 290
ACB = 70 degrees
The Earth completely rotates on its axis once every 24 hours.
A) How long does it take for it to rotate 310 degrees?
B) How long does it take to rotate 5 radians?
C) The diameter of the Earth is approximately 7920 miles. How far will a point on the equator rotate in 2 hours?
Show all work. Give answers to the nearest hundredth. Include the units in your response.
Answer:
Part A). 20 hours 42 minutes taken by earth to rotate 310°.
Part B). 19 hours 6 minutes taken by earth to rotate 5 radians.
Part C). 2072.4 miles a point on the equator rotate in 2 hours.
Step-by-step explanation:
Given : Earth rotate 360° in 24 hours.
Part A).
Time taken by earth to rotate 360° = 24 hours.
Time taken by earth to rotate 1° = [tex]\frac{24}{360}[/tex] hours.
Time taken by earth to rotate 310° = [tex]\frac{24}{360}\times310[/tex] hours.
= 20.7 hours = 20 hours 42 minutes (approx.)
Part B).
Time taken by earth to rotate 360° = 24 hours.
We know that 360° = 2π radian
Time taken by earth to rotate 2π radian = 24 hours.
Time taken by earth to rotate 1 radian = [tex]\frac{24}{2\pi}[/tex] hours.
Time taken by earth to rotate 5 = [tex]\frac{24}{2\pi}\times5[/tex] hours.
= 19.098 hours = 19 hours 6 minutes (approx.)
Part C).
Diameter of Earth = 7920 miles
Radius of Earth, r = 7920/2 = 3960 miles.
Degree of rotation in 24 hour = 360°
Degree of rotation in 2 hour, [tex]\theta\:=\frac{360}{24}\times2=30^{\circ}[/tex]
Now use Formula used to calculate Length of the arc of the circle.
Length of the Arc = [tex]\frac{\theta}{360}\times2\pi r[/tex]
Length a point on equator moves in 2 hour = [tex]\frac{\theta}{360}\times2\pi r=\frac{30}{360}\times2\times3.14\times3960=2072.4\:miles[/tex]
Which graph shows a car traveling at 50 miles per hour?
Answer: The answer to your question would be the third graph to your left
Step-by-step explanation: because when you calculate the rate of change from these points:
(50,1)
(100,2)
(150,3)
(200,4)
The rate of change would be 50 miles/ km per hour
Finding the slope formula: [tex]m= y2-y1/ x2-x1[/tex]
And when you take any two points from the graph, for example: (50,1) and (200,4), it would look like this:
[tex]\frac{200-150}{4-1}= 50/1= 50 miles/km per hour[/tex]
The correct graph is 3rd.
What is slope?The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Considering the 3rd graph, the coordinates are :-
(50,1)
(100,2)
(150,3)
(200,4)
Finding the slope = (y₂-y₁) / (x₂-x₁)
considering the points (50,1) and (200,4), slope =
slope = 4-1 / 200-50 = 1/50
Since the slope shows the rate, and the rate of change would be 50 miles/ km per hour
Hence, the correct graph is 3rd one.
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According to Boyle’s law, PV= K, what was the volume at the time of the first measurement given the following information? Round to the nearest mL.
P1=5.42 atm
P2=8.59 atm
V2=527 mL
The answer is:
The first measurement of volume is equal to 835.23 mL.
Why?Boyle's Law equation can be used when the temperature is kept constant, and it establishes a relation between the pressure and volume, showing that when an ideal gas is kept constant, the pressure and volume are inversely proportional.
So, we Boyle's Law equation states that:
[tex]P_{1}V_{1}=P_{2}V_{2}[/tex]
Where,
[tex]P_1=FirstPressure\\V_1=FirstVolume\\P_2=NewPressure\\V_2=NewVolume[/tex]
Now, if we are looking for the first volume measurement, we need to rewrite the equation as follow:
[tex]P_{1}V_{1}=P_{2}V_{2}\\\\V_{1}=\frac{P_{2}V_{2}}{P_{1}}[/tex]
So, substituting the given information and calculating, we have:
[tex]V_{1}=\frac{8.59atm*527mL}{5.42atm}[/tex]
[tex]V_{1}=\frac{4526.93atm.mL}{5.42atm}=835.23mL[/tex]
Hence, the first measurement of volume is equal 835.23 mL.
Have a nice day!
Help me with this please don’t understand need answers please !
Answer:
see the attached for the sumsthe magic number (sums of rows, columns, diagonals) is -6Step-by-step explanation:
The directions tell you what to do and give an example. That work is to be repeated 15 more times. The work is tedious, at best. I found it slightly less tedious to enter the 64 numbers into a spreadsheet and let it do the sums. See the attached for the result.
At the bottom of the array are the sums of columns. At the right are the sums of rows. The upper right and lower left numbers are the sums of the corresponding diagonals.
The "pattern" is that the sums are all -6, which is what you expect from a magic square.
The sides of triangle ABC are 3, 4, and 5 inches long. How far is the incenter of the triangle from the circumcenter of the triangle?
Answer:
(√5)/2
Step-by-step explanation:
In the attached figure, we have labeled the circumcenter point D and the incenter point E. The points of tangency of the incircle with sides AB, BC and CA are labeled G, H, and F, respectively.
The distances from any vertex to the two points of tangency from that vertex are the same. So, AG = FA, BG = BH, and CF = CH. If we call the radius of the incircle "r", then we have ...
AG = FA = r, BG = BH = 3-r, CF = CH = 4-r
so the side length BC is ...
BC = BH +CH = (3-r) +(4-r) = 7-2r
We already know that side length BC is 5, so ...
5 = 7 -2r
r = (7 -5)/2 = 1
Of course, the circumcenter of a right triangle is the midpoint of the hypotenuse, so the circumradius "R" is 5/2 = 2.5.
The formula for the distance between the two centers is ...
d = √(R(R -2r)) = √(2.5(2.5 -2)) = √1.25 = (√5)/2
_____
Comment on this answer
We have used a formula for the center-to-center distance found using a web search. The attached diagram shows the coordinates of the two centers, so the distance can be found from those. It is the same.