Answer:
20
Step-by-step explanation:
100/5=20
What is the sum of the first 22 terms of
-18+-15+-12+-9+
Answer:
-54 is the answer
Step-by-step explanation:
hope you like it
Abby sells beauty products. She has a monthly salary of $1000. She also earns 1%
commission on the first $8000 of her sales for the month and 4% commission on
sales over $8000. What is Abby's gross income for the month if her sales were $12
500
Answer: $1260
Step-by-step explanation:
Based on the information given, Abby's gross income for the month if her sales were $12500 will be:
= $1000 + (1% × $8000) + [4% × ($12500 - $8000)]
= $1000 + (0.01 × $8000) + (0.04 × $4500)
= $1000 + $80 + $180
= $1260
Her gross income is $1260
In exponential smoothing, the equation involves what type of value that is not part of the moving averages equation?
a. Upper limit
b. Lower limit
c. Level smoothing constant
d. Recent observed value
Answer:
d. Recent observed value
Step-by-step explanation:
Exponential smoothing is technique for smoothing time series data. In exponential smoothing more recent observed values give larger weights while the weights will decline if observed values are more distant. In moving average the observations were weighted equally.
Which trig ratio can be used to find the measure of angle A?
Answer:
arc cosine (4/5)
(the third answer)
Step-by-step explanation:
PLWASE HELP GEOMETRY
A hot-air balloon is tied to the ground with two taut ropes. One rope is directly under the balloon and makes a right
angle with the ground. The other rope forms an angle of 60° with the ground. Which statements are correct?
Using trigonometry solve for h and d.
H :
Sin(60) = h/120
H = 120 x sin(60)
H = 103.9 = 104 feet
D:
Cos(60) = d/120
D = 120 x cos(60)
D = 60 feet
The correct answers:
A. D = 60 ft.
C. H = 104 ft
HELPPP PLEASEEESSS
Which best describes the triangle?
acute and scalene
80
right and isosceles
6 in.
6 in.
1)) obtuse and isosceles
50°
50°
7.7 in.
acute and isosceles
Answer:
acute and isosceles
Step-by-step explanation:
Define:
Acute - All angles have a measure of less than 90 degrees
Obtuse - has an angle with a measure of more than 90 degrees
Right - has an angle with a measure of 90 degrees
Scalene - no congruent side lengths or angles
Isosceles - two congruent sides and two congruent angles
Equilateral - all congruent sides and all congruent angles
Identify:
The triangle shown has angles that measure less than 90 degrees which means that it's an acute triangle
The triangle also has two congruent sides and two congruent angles which means that it's an isosceles triangle.
So we can conclude that the triangle can be identified as an acute isosceles
9 divided by 1/5===================================
Answer:
here u go
Step-by-step explanation:
i got 45
The following frequency distribution presents the five most frequent reasons for hospital admissions in U.S. community hospitals in a recent year.
Reason Frequency (in thousands)
Congestive heart failure 990
Coronary atherosclerosis 1400
Heart attack 744
Infant birth 3800
Required:
a. Construct a frequency bar graph.
b. Construct a relative frequency distribution.
c. Construct a relative frequency bar graph.
d. Construct a relative frequency Pareto chart.
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Reason \to Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990[/tex]
[tex]Coronary\ atherosclerosis\to 1400[/tex]
[tex]Heart\ attack \to 744[/tex]
[tex]Infant\ birth\to 3800[/tex]
Solving (a): Frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the frequency (on the y-axis).
See attachment
Solving (b): Relative frequency distribution
The relative frequency is calculated as:
[tex]RF = \frac{F}{Total}[/tex]
Where
[tex]Total = 990+1400+744+3800[/tex]
[tex]Total = 6934[/tex]
So, we have:
[tex]Congestive\ heart\ failure \to \frac{990}{6934} = 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to \frac{1400}{6934} = 0.2019[/tex]
[tex]Heart\ attack \to \frac{744}{6934} = 0.1073[/tex]
[tex]Infant\ birth\to \frac{3800}{6934} = 0.5481[/tex]
So, the relative distribution is:
[tex]Reason \to Frequency \to Relative\ Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to 1400 \to 0.2019[/tex]
[tex]Heart\ attack \to 744 \to 0.1073[/tex]
[tex]Infant\ birth\to 3800 \to 0.5481[/tex]
Solving (c): Relative frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the relative frequency (on the y-axis).
See attachment
Solving (d): Relative frequency Pareto chart
First, calculate the cumulative relative frequency
This is done by adding up the previous relative frequency,
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.2019+0.1427=0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.3446+0.1073 = 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 0.5481+4519 =1[/tex]
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 1[/tex]
Next, we simply plot the reasons (on the x-axis) against the cumulative relative frequency (on the right) and the left of the Pareto chart.
See attachment
The formula to find the area of a rectangle is: area = length x width.
Mason put a garden in his yard in the shape of a rectangle.
The garden is 7 feet long and 15 feet wide.
What is the area of the garden?
A. 22 square feet
B. 44 square feet
C. 75 square feet
D. 95 square feet
E. 105 square feet
which equation models the same quadratic relationship as function f? f(x)=x^2+12x+4 a) y=(x-6)^2+40 b) y=(x+6)^2-32 c) y=(x-6)^2-32 d) y=(x+6)^2+40
9514 1404 393
Answer:
b) y=(x+6)^2-32
Step-by-step explanation:
Add and subtract the square of half the x-coefficient to put into vertex form.
f(x) = x^2 +12x +4 . . . . . given
y = x^2 +12x +36 +4 -36 . . . . add and subtract (12/2)^2 = 36
y = (x +6)^2 -32 . . . . . . . . . . . write in vertex form
Answer:
B. Y=(x+6)²-32Step-by-step explanation:
hope it helps
what is 1 + 1?
First to answer gets 10 points!
Answer:
2
Step-by-step explanation:
I’ll need brainliest
Answer:
I think no B
if wrong correct me pls
I HOPE IT HELPS
HAVE A GREAT DAY
[tex]#Liliflim[/tex]
Answer:
B
Step-by-step explanation:
C=7s
Evaluate the statistics expression:39C1
========================================================
Explanation:
You can use the nCr formula shown below
[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]
where n = 39 and r = 1. However, you could also use the identity
[tex]_n C _{1} = n[/tex]
which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.
A new DVD is available for sale in a store one week after its release. The cumulative revenue, $R, from sales of the DVD in this store in week t after its release is R=f(t)=350 ln tR=f(t)=350lnt with t>1.
Find f(5), f'(5), and the relative rate of change f'/f at t=5. Interpret your answers in terms of revenue.
Solution :
It is given that :
[tex]$f'(t) = (350 \ln t)'$[/tex]
[tex]$=350(\ln t)'$[/tex]
[tex]$=\frac{350}{t}$[/tex]
So, [tex]f(5)=350 \ln (5) \approx 563[/tex]
[tex]$f'(5) = \frac{350}{5}$[/tex]
[tex]=70[/tex]
The relative change is then,
[tex]$\frac{f'(5)}{f(5)}=\frac{70}{350\ \ln(5)}$[/tex]
[tex]$=\frac{1}{5\ \ln(5)}$[/tex]
[tex]$\approx 0.12$[/tex]
[tex]=12\%[/tex]
This means that after 5 weeks, the revenue from the DVD sales in $563 with a rate of change of $70 per week and the increasing at a continuous rate of 12% per week.
PLS HELP!
Two vertical angles measure (5x + 15)° and (3x + 27)°. Draw a diagram that illustrates the vertical angles. Solve for each angle.
Answers:
x = 6
Each angle is 45 degrees
The diagram is shown below
=========================================================
Explanation:
Vertical angles are always congruent
Set the two expressions equal to each other and solve for x.
5x+15 = 3x+27
5x-3x = 27-15
2x = 12
x = 12/2
x = 6
As a way to check the answer, replace x with 6 in each expression. We should get the same thing on both sides
5x+15 = 3x+27
5*6+15 = 3*6+27
30+15 = 18+27
45 = 45
Each angle is 45 degrees, so the answer is confirmed.
---------
The diagram is shown below. There are infinitely many ways to draw out the diagram. In the version I drew, the angles aren't vertically aligned but instead they are opposite one another in this X configuration. So the vertical angles could be vertically aligned, but they don't have to be.
In short: draw an X shape and mark any two opposite angles to form the vertical angles.
Find the point-slope form for the equation of a line with slope 3/4 containing point
(-3,5).
Answer:
y-5 = 3/4(x+3)
Step-by-step explanation:
Find an equation of variation where y varies directly as x and y = 7 when x = 0.5 .
Answer:
y = 14x
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 7 as y and 0.5 as x, and solve for k:
y = kx
7 = k(0.5)
14 = k
Plug this into the equation:
y = kx
y = 14x
So, the equation of variation is y = 14x
What is the amplitude of the sine graph shown??????plz help asapppp
Answer:
Amplitude = 2
Step-by-step explanation:
The amplitude is the distance between the midline and the maximum/minimum. Because the midline is located at y=1, then the maximum and minimum are both 2 units apart from the midline. That is your amplitude.
Cricket chirps: Temperature Anyone who has been outdoors on a summer evening has probably heard crickets. Did you know that it is possible to use the cricket as a thermometer? Crickets tend to chirp more frequently as temperatures increase. This phenomenon was studied in detail by George W. Pierce, a physics professor at Harvard. In the following data, x is a random variable representing chirps per second and y is the random variable representing temperature (F). These data are also available for download at the online study center.X 20.0 16.0 19.8 18.4 17.1 15.5 14.7 17.1Y 88.6 71.6 93.3 84.3 80.6 75.2 69.7 82.0X 15.4 16.2 15.0 17.2 16.0 17.0 14.4Y 69.4 83.3 79.6 82.6 80.6 83.5 76.3Complete parts (a) through (e), given ?x= 249.8, ?y=1200.6, ?x^2= 4200.56, ?y^2= 96,752.86, ?xy= 20,127.47 and r = 0.835.A) Draw a scatter diagram displaying the data.B) Find X- bar, Y- bar, a and b. Then find the equation of the least squares line y=a+bx.C) Graph the least squares line on your scatter diagram. Be sure to use the point ( X-bar, Y- bar) as one of the points on the line.D) Find the value of the coefficient of determination r ^2. What percentage of the variation in y can be explained by the corresponding variation in x and the least squares line? What percentage is unexplained?E) What is the predicted temperature when x= 19 chirps per second.
Answer:
Kindly check explanation
Step-by-step explanation:
Using technology on the data above, the least square regression equation obtained is ;
y = 33.4528+2.7975x
Where, slope = 2.7975 ; Intercept = 33.4528
x = chirps per second, independent variable
y = temperature, predicted variable.
The Correlation Coefficient, r = 0.71
The Coefficient of determination, r² = 0.71² = 0.5041
The percentage of variation in y due to regression is the r² value, which is about 50.41%
Hence, the percentage variation in temperature due to the regression line is 50.4, while the rest is due to other factors.
Predicted temperature, y when x = 19 ;
Put x = 19
y = 33.4528+2.7975(19)
y = 86.60°
Calculate the GPA of a student with the following grades: B (13 hours), D (16 hours), C (13 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.
The GPA of the student, based on the given grades, is approximately 1.93.
Use the concept of probability defined as:
Given that,
Grades provided: B (13 hours), D (16 hours), C (13 hours)
Grade equivalencies: A = 4.0, B = 3.0, C = 2.0, D = 1.0, F = 0
Credit hours associated with each grade: B (13 hours), D (16 hours), C (13 hours)
To calculate GPA,
Convert grades to their point values and calculate the weighted GPA
Point values for the given grades: B (3.0), D (1.0), C (2.0)
To calculate the GPA,
First, convert each grade to its equivalent point value.
For the given grades, we have:
B (13 hours) = 3.0
D (16 hours) = 1.0
C (13 hours) = 2.0
Now, calculate the weighted GPA by multiplying the point value of each grade by the number of credit hours and then summing them up.
In this case, it would be:
(3.0 x 13) + (1.0 x 16) + (2.0 x 13) = 81
Divide the sum of the weighted grade points (81) by the total number of credit hours (13 + 16 + 13 = 42) to get the GPA:
81 / 42 = 1.93
Hence,
Rounding to two decimal places, the GPA would be approximately 1.93.
Learn more about the probability visit:
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Plz help I’ll award brainliest!!!
That is the same as writing [tex]10\sqrt{30}[/tex]
======================================================
Explanation:
The diagram shows that
AC = 60AD = 50That must mean DC = AC-AD = 60-50 = 10
We'll use this to help find BD as shown below
AD/BD = BD/DC
AD*DC = BD*BD .... cross multiply
(BD)^2 = AD*DC
BD = sqrt(AD*DC) ..... geometric mean formula
BD = sqrt(50*10)
BD = sqrt(500)
----------------------
Now apply the pythagorean theorem to find AB. Focus on triangle ABD.
(AD)^2 + (BD)^2 = (AB)^2
(AB)^2 = (AD)^2 + (BD)^2
(AB)^2 = (50)^2 + (sqrt(500))^2
(AB)^2 = 2500 + 500
(AB)^2 = 3000
AB = sqrt(3000)
AB = sqrt(100*30)
AB = sqrt(100)*sqrt(30)
AB = 10*sqrt(30)
Please help !!!!!!!!!!!!!!!!!
What is the decay factor that corresponds to a product that decreases its value first by 20%, and than decreases by 40% of its value, and finally decreases by 62% of its value?
a.
0.22
c.
0.1824
b.
0.0496
d.
0.62
Answer:
c.
0.1824
Step-by-step explanation:
The computation of the decay factor is as follows;
= (1 - decrease percentage) × (1 - decrease percentage) × (1 - decrease percentage)
= (1 - 0.2) × (1 - 0.4) × (1 - 0.62)
= (0.8) × (0.6) × (0.38)
= 0.1824
hence, the decay factor is 0.1824
Therefore the option c is correct
Suppose you receive the following ANOVA output in this study. What is the correct conclusion about this data (in correct APA format)?
ANOVA
Time Sum of df Mean Square F Sig. Squares Between Groups 91.467 2 45.733 4.467 021 Within 276.400 27 10.237 Groups Total 367.867 29
a. The effect of training on how long it takes to solve the problem was significant, F(2, 27)- 4.47, p> 05.
b. The effect of training on how long it takes to solve the problem was significant, F(2, 27) -4,47, p .05.
c. The effect of training on how long it takes to solve the problem was not significant, F(27, 2)-4.47, p >.05.
d. The effect of training on how long it takes to solve the problem was significant, F(2, 29) - 4.47. p ,05.
Answer:
The answer is "Option b"
Step-by-step explanation:
Through this context, it is determined that the p-value is much less than 0.05, which is 0.021, so the rejection of the null hypothesis at 5%. There should be enough evidence to demonstrate that now the effect of the organization was substantial on how long it has taken to solve the issue. This result is statistically important.
The correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
From the table, we have the following values
F = 4.467
df between group = 2
df within group = 27
To reference the result, we make use of:
F(df between group, df within group) = F value
So, we have:
F(2, 27) = 4.47
The above result shows the F value approximated to two decimal points
Hence, the correct conclusion about this data is (b) The effect of training on how long it takes to solve the problem was significant, F(2, 27) = 4.47, p < 05.
Read more about APA styles at:
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what are the approximate measurements of each given measurement to the nearest centimetre, then find the sum: 16.4 cm + 12.8 mm + 9.6 cm + 14.6 mm
Answer:
54
Step-by-step explanation:
16.4= 16
12.8= 13
9.6= 10
14.6=15
16 + 13 +10 +15 = 54
find the median of the pulse rates of 65, 74, 88, 77, and 92
Answer:
??
Step-by-step explanation:
Answer:
77
Step-by-step explanation:
median is the middle value.
1. arrange in numerical order
65, 74, 77, 88, 92
2. cross out all outside numbers untill you find the middle value
65, 74, 77, 88, 92
3. it's 77
The area of a parallelogram is 108 square inches. What is the length of the parallelogram if the height is 6 inches
Answer:
18
Step-by-step explanation:
Hope this help!!!
Have a nice day!!!
PLEASE HELP ME! It’s easy I just don’t remember.
Answer:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
θ=arccot(x/o)
What is a reasonable estimate for the area of a circle with radius 4cm?
Answer:
Option D
Explanation:
The real answer would be a bit higher if you use the formula:
Area=π×r^2
Rewrite [tex]sin^25xcos^25x[/tex] simplified using power reduced formulas
Step-by-step explanation:
The power reducing formulas are given by the following:
[tex]\sin^2 x = \dfrac{1- \cos2x}{2}[/tex]
[tex]\cos^2 x = \dfrac{1+ \cos2x}{2}[/tex]
We can then write the given expression as
[tex]\sin^25x \cos^25x[/tex]
[tex]= \left(\dfrac{1- \cos 2(5x)}{2} \right) \left(\dfrac{1+ \cos 2(5x)}{2} \right)[/tex]
[tex]= \dfrac{1}{4}(1- \cos 10x)(1+ \cos 10x)[/tex]
[tex]= \dfrac{1}{4}(1- \cos^2 10x)[/tex]
[tex]= \dfrac{1}{4} \left(\dfrac{1- \cos 20x}{2} \right)[/tex]
or
[tex]\sin^25x \cos^25x= \dfrac{1}{8}(1- \cos 20x)[/tex]