Answers
Answer:
7.50 (nearest hundredth)
Step-by-step explanation:
General form of geometric progression: [tex]a_n=ar^{n-1}[/tex]
(where [tex]a[/tex] is the initial term and [tex]r[/tex] is the common ratio)
Given progression:
[tex]5\left(\dfrac13\right)^{n-1}[/tex]
Therefore:
[tex]a=5[/tex][tex]r=\dfrac13[/tex]Sum of a geometric series:
[tex]S_n=\dfrac{a(1-r^n)}{(1-r)}[/tex]
Substituting a = 5, r = 1/3 and n = 10 to find the sum to n = 10:
[tex]\implies S_{10}=\dfrac{5(1-\frac13^{10})}{(1-\frac13)}[/tex]
[tex]\implies S_{10}=7.499873987...[/tex]
[tex]\implies S_{10}=7.50 \textsf{ (nearest hundredth)}[/tex]
Related Questions
Which of these is an equation?
F
6 + x + 24
G 6 + x = 24
U I
H
6 + X - 24
J
6 + X
Answers
Answer:
the answer is 6+x=24
Step-by-step explanation:
awesome
Answer:
6 + x = 24
Step-by-step explanation:
This is an equation because it has an EQUAL SIGN "=". an expression with an equal sign makes an equation.
It's in the name "EQUATION" (EQUAL)
A representation " = "
Robert plans to make a box-and-whisker plot of the following set of data.
27, 14, 46, 38, 32, 18, 21
Which of the following should Robert's box-and-whisker plot look like?
10
15
20
25
30
35
40
45
50
o
10
15
20
25
30
35
40
45
50
O
10
15
20
25
30
35
40
45
50
5
10
15
20
25
30
35
40
Answers
Answer:
To make a box and whisker plot, you need to draw a number line that would be able to represent all the values in the data (look at your lowest and highest numbers).
You will need to graph the following 5 points on your number line (median, lower quartile, lower extreme, upper quartile, and upper extreme).
Create a box around the quartiles and extend the lines to the extremes.
See the picture I have attached for the box and whisker box for this data set.
Step-by-step explanation:
I need help on this one question! Can anyone help me?
Answers
substitute the first equation into the second. you will get 2(0.25x-1)=(2/3)x+6.
that simplifies to .5x=(2/3)x+8 solve from there to get x=-48. substitute that into the first equation to get y=(-48/4)-1 therefore, x=-48 and y=-13
The slope of a line is given by the formula:
horizontal change
m
vertical change
True
False
Answers
Answer:
False
Step-by-step explanation:
The defining characteristic of a line is that is has a constant average rate of change.
That is, for a given line, for whatever two points are selected, the average rate of change between then will be the same. This constant average rate of change is called the slope of the line.[tex]slope=\frac{rise}{run}=\frac{verticalchange}{horizontal change} =\frac{y}{x} =\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
The first two versions are more geometric in nature (applied problems)The second two version are more algebraic (points on the x-y plane) Slope is Positive when the line rises from left to right.Negative when the line falls from left to rightZero when the line is horizontal ( no change in y)Undefined when the line is vertical (no change in x)Write the equation of the line through the given points :
I need help please
Answers
Answer:
[tex]y=-3x+5[/tex]
Step-by-step explanation:
The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can substitute the given coordinates into the equation:
[tex]Slope=\frac{3-0}{\frac{2}{3}-\frac{5}{3}}=\frac{3}{\frac{2-5}{3}}=\frac{3}{\frac{-3}{3}}=\frac{3}{-1}=-3[/tex]
The slope is -3
The equation for a line is:
[tex]y=mx+b[/tex]
m: slope
b: y-intercept
x, y: (x, y) coordinate pair
Now, plug in the slope and one of the (x, y) coordinate pairs to solve for the y-intercept.
[tex]y=mx+b\\y=-3x+b\\0=-3(\frac{5}{3})+b\\0=\frac{-15}{3}+b\\0=-5+b\\$Add 5 to both sides\\b=5[/tex]
Therefore the equation is:
[tex]y=-3x+5[/tex]
15 burritos in five minutes how many burritos can be made in one hour
Answers
Answer:
180 burritos
Step-by-step explanation:
15 burritos = 5 mins
x burritos = 60 mins
cross multiply
5x = 60 ×15
5x = 900
x = 900/5
therefore x = 180 burritos
PLEASE HELP 55 POINTS
In this activity, you will analyze a statistical study for a given situation and apply randomization to collect data from which valid conclusions may be drawn.
To meet the company’s sales goals, the sales director for the pet food company decided to provide training for some of the sales representatives in the Midwest and Northeast regions. After conducting a one-month training program, the sales director analyzed the effectiveness of the program by conducting a statistical study.
Question 1
The purpose of the sales director’s study is to determine whether attending the training program caused an increase in sales for representatives from the two regions. So the sales director collected sales data from both groups (those receiving training and those receiving no training) for three months after the one-month program and compared the number of orders secured by those who attended the training program with the number of orders secured by those who didn’t attend.
Part A
Question
Select the correct answer from each drop-down menu.
The sales director conducted because a treatment applied to the sales representatives.
This is the best statistical study for this situation because the sales director is trying to establish .
Part B
Suppose there are 1,000 total sales representatives in the Midwest and Northeast regions, with 500 sales reps in each region. Describe the best way for the sales director to include 200 sales representatives, with an equal number from each region and an equal number in each group, while yielding valid conclusions in the study.
Type your response in the box.
15px
Characters used: 0 / 15000
Question 2
For three months after the training program, the sales director collected the sales data for the 200 sales representatives from the Midwest and Northeast regions. The director then broke down the number of sales orders for the representatives according to whether they received training or not. This data is shown in the table.
Three Months’ Sales Orders
Training No Training
Midwest 234 196
Northeast 252 178
Question
Use the data shown in the table to complete each statement.
Select the correct answer from each drop-down menu.
For the Midwest region, the average number of sales orders per representative for the group that had training is more than the average number of sales per representative for the group that had no training.
For the Northeast region, the average number of sales orders per representative for the group that had training is more than the average number of sales per representative for the group that had no training.
The data from the sales director’s study indicates that the one-month training program sales.
Answers
Question 1 - The sales director was inclined to conduct an experiment because a treatment was applied to the sales representative.
A causality statistical study would be best.
Question 2 - In the Midwest region, the difference between those with training and without led to a 0.38 difference.
In the Northeast, the difference between those with training and without led to a 0.74 difference.
This means that a one-month training program increases sales.
What does the data show?The data shows that because a treatment was applied to sales representatives in that some of them were trained, the best way to find out the effect of this treatment would be an experiment.
This experiment would show if there is a causality relationship between training and sales numbers.
What is the difference in amount sold?Midwest:
= (234 - 196) / 100
= 0.38
Northeast:
= (252 - 178) / 100
= 0.74
Those with training in the Midwest sold 0.38 more than those without training. And those with training in the Northeast sold 0.74 more.
This means that the training does indeed increase sales.
Find out more on the effects of training at https://brainly.com/question/12427808.
Please help me! A dealership recently sold a 4-door sedan, which it purchased for $18,000, at 15% markup. It accepted a trade-in for it, and it paid $5000 for the trade. Next, it marked the trade-in up 25% and sold it in a week. What was the dealership's profit on these two vehicles?
Answers
Step-by-step explanation:
The answer is 3950 $
First we will calculate the two profits the dealership earned.
1. Profit on purchase.
18000 x 15% = 18000 x 0.15
=2700 $
2. Profit on Sale:
5000 x 25% = 5000 x 0.25
= 1250$
3. Adding both profits:
Total profit = 2700 + 1250 = 3950 $
please answer this question
Answers
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Here, we will use the concept of integration and algebric identities
Integration is the process of finding function that is a derivate of given function Three important trigonometric identities :-[tex]\sf{ sin^{2}{\theta}+ cos^{2}{\theta} = 1 }[/tex][tex]\sf{ 1 + tan^{2}{\theta} = sec^{2}{\theta} }[/tex][tex]\sf{ 1 + cot^{2}{\theta} = cosec^{2}{\theta} }[/tex]Let's Begin :-We have,
[tex]\bold{\displaystyle\int}{\bold{\dfrac{ cos^{2}x}{1 + sinx}}}{\bold{dx}}[/tex]
By using trigonometric identity,
[tex]\sf{ sin^{2}{\theta}+ cos^{2}{\theta} = 1 }[/tex][tex]\sf{\displaystyle\int}{\sf{\dfrac{ 1 -sin^{2}x }{1 + sinx}}}{\sf{dx}}[/tex]
By using algebraic identity :-
[tex]\sf{ a^{2} - b^{2} = ( a + b) (a - b) }[/tex][tex]\sf{\displaystyle\int}{\sf{\dfrac{ (1 + sinx) (1 - sinx) }{1 + sinx}}}{\sf{dx}}[/tex]
[tex]\sf{\displaystyle\int}{\sf{( 1 - Sinx)dx}}[/tex]
[tex]\sf{ {\displaystyle\int} dx - {\displaystyle\int}sinxdx}[/tex]
We know that,
[tex]\sf{{\int\displaystyle}sin{\theta} d{\theta} = - cos {\theta} + C }[/tex][tex]\sf{ x - (-cosx) + c}[/tex]
[tex]\bold{ x + cosx + c}[/tex]
Hence, The answer is x + Cosx + c.
We are given with an integral and need to solve the integral , so let's start ;
[tex]{:\implies \quad \displaystyle \int \sf \dfrac{\cos^{2}(x)}{1+\sin (x)}dx}[/tex]
As we know that sin²(x) + cos²(x) = 1 , using this
[tex]{:\implies \quad \displaystyle \int \sf \dfrac{1-\sin^{2}(x)}{1+\sin (x)}dx}[/tex]
Can be further written as
[tex]{:\implies \quad \displaystyle \int \sf \dfrac{1^{2}-\sin^{2}(x)}{1+\sin (x)}dx}[/tex]
[tex]{:\implies \quad \displaystyle \int \sf \dfrac{\cancel{\{1+\sin (x)\}}\{1-\sin (x)\}}{\cancel{\{1+\sin (x)\}}}dx\quad \qquad \{\because a^{2}-b^{2}=(a+b)(a-b)\}}[/tex]
[tex]{:\implies \quad \displaystyle \int \sf \{1-\sin (x)\}dx}[/tex]
Now , as integrals follow distributive property , so ;
[tex]{:\implies \quad \displaystyle \int \sf 1\: dx-\int \sin (x)dx}[/tex]
Now , as antiderivative (Integration) of sin(x) is -cos(x) + C and that of dx is x + C So ;
[tex]{:\implies \quad \displaystyle \bf \therefore \underline{\underline{\int \bf \dfrac{\cos^{2}(x)}{1+\sin (x)}=x+\cos (x)+C}}}[/tex]
This is the Required answer
Find the volume of 4 in 12 1/8 in 1 1/4 in
Answers
Mixed number:1 1/2
Decimal 1.5
help me fast pleas-
help meeeeeeeeeeeeee
Answers
y= 9 x 6 + 25
= 79
Road-Less-Traveled Tours:
the function is y= 12x
y= 12 x 6 = 72
Bowman Bros:
The line is y -30 over x -1 = 50 - 30 over 3 - 1
y= 10x + 20
y= 10 x 6 + 20 = 80
72 < 79 < 80
So chose Road-Less-Travelled Tours
today at basketball practice the team worked on three skills. they ran for 22 minutes, they did passing drills for 35 minutes. they practiced shooting free throws for 27 minutes. tomorrow the coach wants the team to spend an equal amount of time on each drill. if the team spends the same total number of minutes on these 3 drills as today, how many minutes will the team spend on each drill
Answers
Answer:
28
Step-by-step explanation:
So first you need to add up the time they played yesterday which means add up the times for each drill(22+35+27) which equals 84. Now you need to divide 84 by 3 because there are 3 drills(84÷3) which equals 28 and you will get your answer
22 + 35 + 27 = 84 ÷ 3 = 28
Hope this helps
Please mark brainliest.
The overhead reach distances of adult females are normally distributed with a mean of 205.5 cm and a standard deviation of 7.8 cm. a. Find the probability that an individual distance is greater than 218.00 cm. b. Find the probability that the mean for 25 randomly selected distances is greater than 204.20 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? a.
Answers
Using the normal distribution, we have that:
a) There is a 0.0548 = 5.48% probability that an individual distance is greater than 218.00 cm.
b) There is a 0.7967 = 79.67% probability that the mean for 25 randomly selected distances is greater than 204.20 cm.
c) Since the underlying distribution is normal, the central limit theorem can be applied.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as the underlying distribution is normal or the sample size is greater than 30.For this problem, the parameters are:
[tex]\mu = 205.5, \sigma = 7.8, n = 25, s = \frac{7.8}{\sqrt{25}} = 1.56[/tex]
Item a:
The probability is one subtracted by the p-value of Z when X = 218, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{218 - 205.5}{7.8}[/tex]
Z = 1.6
Z = 1.6 has a p-value of 0.9452.
1 - 0.9452 = 0.0548.
There is a 0.0548 = 5.48% probability that an individual distance is greater than 218.00 cm.
Items b and c:
Since the underlying distribution is normal, the central limit theorem can be applied, hence the probability is one subtracted by the p-value of Z when X = 204.2.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{204.2 - 205.5}{1.56}[/tex]
Z = -0.83
Z = -0.83 has a p-value of 0.2033.
1 - 0.2033 = 0.7967.
There is a 0.7967 = 79.67% probability that the mean for 25 randomly selected distances is greater than 204.20 cm.
More can be learned about the normal distribution at https://brainly.com/question/4079902
#SPJ1
IM BEGGING YOU PLEASE HELP PLEASE HELP I NEED HELP PLEASE
Answers
Answer:
area of shaded region: 21.07 ft²
Given for semi circle:
radius of semi-circle: 7 ftGiven for rectangle:
width: 7 ftlength: 14 ftFind area of rectangle:
Length * Width
14 * 7
98 ft²
Find the area of semi circle:
1/2 * π * r²
1/2 * 3.14 * (7)²
76.93 ft²
Area of shaded region:
area of rectangle - area of semi-circle
98 ft² - 76.93 ft²
21.07 ft²
which propety of multiplication is shown
9 x (2 x 12) = (12 x 9) x 2
Answers
Answer:
216
Step-by-step explanation:
9*(2*12)
9*(24)
9*24
216 ans
The diameter of a circle is 6 kilometers.
What is the circle's circumference?
d=6km
Use 3.14 for
Pie.
Answers
Answer:
rea = pi x radius squared
area = 3.14 x (6 km)² - assuming pi i is about 3.14
area = 113.04km²
Step-by-step explanation:
Pomegranate, Papaya, and Lychee
Answers
Answer:
they're fruits
Step-by-step explanation:
i dont really know what the question is... they help against heart disease, cancer and diabetes
What is the equation of the line that passes through the point (-7,8) and has a slope of -1?
Answers
There are 7 times as many males as females on the maths course at university. What fraction of the course are female?
Give your answer in its simplest form.
Answers
Answer:
1/8
Step-by-step explanation:
Suppose there are 7 males so there will be 1 female according to the question.
So there is 1 female out of a total of 8 students. So the answer is 1/8.
Because the female is 1 out of the 8 people.
Jason sees a tall building from across town. He
turns 90° and walks 100 yards. Jason then turns to
face the building, and the angle between his line
of sight and his path is 35º as shown below. Which
of the following is the closest to the distance from
Jason's original position to the building, in yards?
Answers
Answer:
Jason's original position is 70.02 yards, or 70 yards
Step-by-step explanation:
These types of questions are understood better when drawn out.
Ms. Fitzgerald had 2 1 /4 gallons of fruit punch. She served 3 /8 gallon of the fruit punch
to her family at lunch.
How many gallons of fruit punch did Ms. Fitzgerald have left after lunch?
Answers
Answer:
1 7/8
Step-by-step explanation:
1/4=2/8
2+2/8-3/8= 1 7/8
The amount of the fruit punch in gallons after serving 3/8 gallons of the fruit punch at dinner is 15/8.
What is subtraction?It simply means to deduct something from the object or number of group, place, etc. Subtraction means to take away from the group or a number of objects.
Ms. Fitzgerald had 2 and 1/4 gallons of fruit punch. She served 3/8 gallons of the fruit punch to her family at lunch.
The amount of the punch she has
[tex]\rightarrow 2 + \dfrac{1}{4} \\\\\rightarrow \dfrac{8 + 1}{4}\\\\\rightarrow \dfrac{9}{4}[/tex]
Then the 3/8 gallons of fruit punch to her family at lunch. Then we have
[tex]\rightarrow \dfrac{9}{4} - \dfrac{3}{8}\\\\\\\rightarrow \dfrac{18-3}{8}\\\\\\\rightarrow \dfrac{15}{8}[/tex]
More about the subtraction link is given below.
https://brainly.com/question/4319655
Impuesto de venta Un agente de ventas necesita calcular el
costo de un artículo cuyo impuesto de venta de 8.25%. Escriba
una ecuación que represente el costo total c de un artículo que
cuesta x dólares.
Answers
Answer:
costo total = c
costo del artículo = x
impuesto = 8,25 % = 0,0825 {cambiar el porcentaje a decimal moviendo el punto decimal dos a la izquierda}
Para encontrar impuestos:
- multiplique el costo del artículo por el porcentaje de impuestos (como decimal)
= .0825x
Para encontrar el costo total:
- agregue el costo del artículo más impuestos
= x + .0825x
c = x + .0825x {costo del artículo más impuestos}
Step-by-step explanation:
What matches with the number line?
Answers
The larger the negative number gets, the farther from zero it becomes. -9.8 is closer to zero- therefore "larger" than -11.3.
Have a nice day/night :)
~pinetree
If an object is shot upward with an initial velocity, vo, in feet per second (ft/s), the velocity, v, in ft/s is given by the formula v = vo - 32t where t is time in seconds. Find
the initial velocity of an object if the velocity after 3 seconds is 44 ft/s
Answers
Answer:
3s
Step-by-step explanation:
the answer is 3 seconds
The volume of the rectangular prism is 35/15yd. Determine the missing measurement using a one step equation
Area=4/5yd
Height= ?
Answers
Answer:
let x yd be the height of the rectangular prism.
4/5x = 35/15
x= 2 11/12 yd
Step-by-step explanation:
since the formula for the volume of cuboids is base area times height, we can use that equation to find out! :D
Select all the expressions that are equivalent to 9 + 7x – 3y.
Answers
Answer:
4 or 9+7x+(-3y) is the only expression equivalent
Step-by-step explanation:
Number 4 is the only expression that comes out to be equivalent because the rest of the answer choices have something wrong with them.
Step-by-step explanation:
PLEASE SHOW ALL WORK
Shannon won $10,000. She will be paid $20 a day until the money runs out. How many days will the money last?
Group of answer choices
500 days
499 days
480 days
Answers
What is the header for this page? A) Algebra 1, B) Linear Functions, C) The slope, D) Ordered Pairs. Will Mark Brainliest if answered correctly .
Answers
What is the header for this page?
The slopeHeader means the text written at the top of the page. The word written at the top of our page is The slope. Hence, it is the header for the page...~
what is the perimeter
Answers
Solution:
Perimeter is the sum of the figure's sides.
Note that:
10 + 10 + 4 + 10 + 4 + 10 + 10 + 30 = Perimeter of figureSimplify the expression:
5(10) + 2(4) + 30 = Perimeter of figure=> 50 + 8 + 30 = Perimeter of figure=> 88 cm = Perimeter of figureI have attached the labelled diagram, Let's find the perimeter now..
Perimeter = Sum of all sidesLength of all sides:
10 cm10 cm10 cm10 cm10 cm4 cm4 cm30 cmNow, Let's add these values
[tex] \sf: \implies \: 10 + 10 + 10 + 10 + 10 + 4 + 4 + 30[/tex]
[tex] \sf: \implies \: 50+ 4 + 4 + 30[/tex]
[tex] \sf: \implies \: 50+ 8+ 30[/tex]
[tex] \sf: \implies \: 58+ 30[/tex]
[tex] \boxed{ \tt: \multimap \: 88}[/tex]
Thus, The perimeter of the given figure is 88 cm...~
Henry's mom bought a candle with a circumference of approximately 45.1846 cm. What was the diameter of the candle?
Use 3.14 for π.
A. 14.29 cm
B. 14.32 cm
C. 14.36 cm
D. 14.39 cm
Answers
Answer:
[tex]\huge\boxed{\sf d = 14.39\ cm}[/tex]
Step-by-step explanation:
Given:
Circumference = c = 45.1846 cm
π = 3.14
Required:
Diameter = d = ?
Formula:
C = πd
Solution:
Rearrange formula
d = C / π
d = 45.1846 / 3.14
d = 14.39 cm
[tex]\rule[225]{225}{2}[/tex]