SOLUTION
From the question, the total customers that bought items are
\(65+26+8=99\)Number of customers that used credit card last week was 8
In the next week, number of customers that would use credit card becomes
\(\begin{gathered} \frac{8}{99}\times600 \\ =48.4848 \end{gathered}\)Hence the answer is 48 to the nearest whole number
Give an equation in standard form for a line which is perpendicular to -2x + 3y = 7 and has a y intercept of -3.
Answer:
y=-3/2x-3
Step-by-step explanation:
For perpendicular lines,the product of their slopes is -1 this m1•m2=-1
For the given line 3y=7+2x
y=7/3+⅔x,the slope is ⅔
For the unknown line since the y-intercept is -3 then y=mx-3
compare the slopes of both lines
m•⅔=-1
m=-3/2
hence the the perpendicular line has the equation
y=-3/2x-3
A store loses twenty-five dollars a day over six days. How much money was lost in total over these six days
There was a total loss of $150.00 over those 6 days
Step-by-step explanation:1 - Simplify the word problem
A store makes a loss of $25 per day for 6 days
2 - Write a statement for it
d = days
t = total loss
25d = t
3 - Plug in the days for d
25(6) = t
150 = t
t = $150
There was a total loss of $150.00 over 6 days
Hope this helps :)
GIVING BRAINLIEST TO WHOEVER GETS THIS CORRECT!
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answer:22
374meters. 17
(/). divided by (/)
17seconds 17
Equals 22 meters per second
Step-by-step explanation:
I mark as brainliest
Answer:
option B
Step-by-step explanation:
To collect opinions on the last teacher contract settlement, you interview each one of your teachers. This is an example of
A. random sampling
B. a census
C. interview sampling
D. convenience sampling
Answer:
may be interview sampling
Step-by-step explanation:
because here is eord interview
Maria lives 98 miles away from her grandparents. She wants to be at her grandparents’ house by 3:00 pm. If she leaves her house at 1:00 pm, at what average rate must she travel to get there on time?
Answer:
b
Step-by-step explanation:
b
Answer:
49
Step-by-step explanation:
a man gets a job with a salary of 40000 dollars a year. he is promised a 2090 dollars raise each subsequent year. his total earning for a 8-year period is dollars.
Total earnings for an 8-year period is - 378520 dollars.
The salaries, year by year, can be written in a sequence
40000, 40000 + 2090 , 40000 + 2(2090)......
which is an arithmetic sequence, with
a=40,000 , d=2090
and the general term
\(a_{n}\) = 40000 + 2090 (n - 1)
gives the salary at the beginning of year n.
Recall that for the arithmetic sequence,
\(a_{n}\) = \(a + (n - 1 )d\)
the nth partial sum is given by either of the equivalent formulas:
\(S_{n} = \frac{n}{2} [2a + (n - 1 )d ]\)
we find \(S_{8}\) = the sum of the first 8 salaries:
\(S_{n} = \frac{8}{2} [2. 40000 + (8 - 1 )2090 ]\)
= 4 [ 80000 + 7 × 2090 ]
= 4 [ 80000 ++ 14630 ]
= 4 × 94630
= 378520
So, total earnings for an 8-year period is - 378520 dollars.
Read more about the arithmetic sequence :
https://brainly.com/question/27902540
#SPJ4
plss assap like right now as soon as posible
Answer:
its the option on the very bottom
Step-by-step explanation:
Answer:a
This is because the equation is y=Mx+b where m is the slope
√40 is a rational number.
O False
O True
Answer:
false because simplifying it would be 2(square root 10) so it will be an irrational number
Gertrude bought a used car for $14,890. She was surprised that the dealer then added $1,280.54 as a sales tax. What was the sales tax rate for this purchase? Report your answer to one decimal place.
Answer: 0.086 0r 8.6%
Step-by-step explanation:
Divide 1280.54 / 14,890 = 0.086
The sales tax rate for this purchase was approximately 8.6%.
Gertrude got a used car for $14,890; she has paid $1,280.54 as a sales tax.
We need to determine sales tax rate for this purchase,
To determine the sales tax rate for Gertrude's car purchase, we need to calculate the ratio of the sales tax amount to the initial price of the car and express it as a percentage.
Sales tax rate = (Sales tax amount / Car price) x 100
Given that Gertrude paid $1,280.54 as sales tax and the car's price was $14,890, we can substitute these values into the formula:
Sales tax rate = (1,280.54 / 14,890) x 100
Calculating this expression gives us:
Sales tax rate = (0.0859) x 100
Sales tax rate ≈ 8.6
Therefore, the sales tax rate for this purchase was approximately 8.6%.
Learn more about sales tax rate click;
https://brainly.com/question/29751934
#SPJ2
In a symmetric, unimodal distribution, about two-thirds of the observations are where?
Choose the correct answer below.
point(s) possible
O A. Within one standard deviation of the mean
OB. More than one standard deviation from the mean
O C. Within three standard deviations of the mean
O D. Within two standard deviations of the mean
In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.
GIven that,
To determine the appropriate options that complete the statement "In a symmetric, unimodal distribution, about two-thirds of the observations are where".
The statistic is the study of mathematics that deal with relations between comprehensive data.
Here,
From the definition of symmetric and unimodal distribution,
At least one standard deviation of the mean is two-thirds of the observation.
Thus, In a symmetric, unimodal distribution, about two-thirds of the observations are within one standard deviation of the mean. Option A is correct.
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ1
15 points!!! Help!! Find x. Round to the nearest tenth
Answer:
So let the hypotenuse be
x
:
sin
(
47
°
)
=
opposite side
x
sin
(
47
°
)
=
12
x
To solve for
x
, divide
sin
(
47
°
)
by
12
:
x
=
12
sin
(
47
°
)
x
≈
16
Step-by-step explanation:
Answer: 16
Reason: bc it just is
Complete the proof. Given LM¯¯¯¯¯¯¯¯¯≅JK¯¯¯¯¯¯¯¯, MJ¯¯¯¯¯¯¯¯≅KL¯¯¯¯¯¯¯¯ Prove △LMJ≅△JKL
Here is the proof :-
LM=JKMJ=KLSo
Adjacent angle is also equal
<LMJ=<JKLHence
∆LMJ=∆JKL(SAS)Let sinθ= 2√2/5 and π/2 < θ < π Part A: Determine the exact value of cos 2θ. Part B: Determine the exact value of sin (θ/2)
Answer:
Part A: To determine the exact value of cos 2θ, we can use the double-angle identity for cosine:
cos 2θ = 2 cos^2 θ - 1
We already know sin θ, so we can use the Pythagorean identity to find cos θ:
cos^2 θ = 1 - sin^2 θ
cos^2 θ = 1 - (2√2/5)^2
cos^2 θ = 1 - 8/25
cos^2 θ = 17/25
cos θ = ± √(17/25)
cos θ = ± (1/5) √17
Since θ is in the third quadrant (π/2 < θ < π), cos θ is negative, so we take the negative root:
cos θ = -(1/5) √17
Substituting into the double-angle identity:
cos 2θ = 2 cos^2 θ - 1
cos 2θ = 2 [-(1/5) √17]^2 - 1
cos 2θ = 2 (1/25) (17) - 1
cos 2θ = 34/25 - 1
cos 2θ = 9/25
Therefore, the exact value of cos 2θ is 9/25.
Part B: To determine the exact value of sin (θ/2), we can use the half-angle identity for sine:
sin (θ/2) = ± √[(1 - cos θ)/2]
We already know cos θ, so we can substitute it in:
cos θ = -(1/5) √17
sin (θ/2) = ± √[(1 - cos θ)/2]
sin (θ/2) = ± √[(1 - (-1/5) √17)/2]
sin (θ/2) = ± √[(5 + √17)/10]
sin (θ/2) = ± (1/2) √(5 + √17)
Since θ is in the third quadrant (π/2 < θ < π), sin θ is negative, so we take the negative root:
sin (θ/2) = -(1/2) √(5 + √17)
Therefore, the exact value of sin (θ/2) is -(1/2) √(5 + √17).
The exact values of the sine and cosine given are -(1/2) √(5 + √17) and 9/25.
What is the sine and the cosine of an angle?The sine of an angle in a right triangle is the ratio of the hypotenuse to the side opposite the angle.
The cosine of an angle in a right triangle is the ratio of the hypotenuse to the side adjacent the angle.
Part A: To determine the exact value of cos 2θ, we can use the double-angle identity for cosine:
cos 2θ = 2 cos² θ - 1
Using the Pythagorean identity to find cos θ:
cos² θ = 1 - sin² θ
cos² θ = 1 - (2√2/5)²
cos² θ = 1 - 8/25
cos² θ = 17/25
cos θ = ± √(17/25)
cos θ = ± (1/5) √17
Since θ is in the third quadrant (π/2 < θ < π), cos θ is negative, so we take the negative root:
cos θ = -(1/5) √17
Substituting into the double-angle identity:
cos 2θ = 2 cos² θ - 1
cos 2θ = 2 [-(1/5) √17]² - 1
cos 2θ = 2 (1/25) (17) - 1
cos 2θ = 34/25 - 1
cos 2θ = 9/25
Therefore, the exact value of cos 2θ is 9/25.
Part B: To determine the exact value of sin (θ/2), we can use the half-angle identity for sine:
sin (θ/2) = ± √[(1 - cos θ)/2]
We already know cos θ, so we can substitute it in:
cos θ = -(1/5) √17
sin (θ/2) = ± √[(1 - cos θ)/2]
sin (θ/2) = ± √[(1 - (-1/5) √17)/2]
sin (θ/2) = ± √[(5 + √17)/10]
sin (θ/2) = ± (1/2) √(5 + √17)
Since θ is in the third quadrant (π/2 < θ < π), sin θ is negative, so we take the negative root:
sin (θ/2) = -(1/2) √(5 + √17)
Therefore, the exact value of sin (θ/2) is -(1/2) √(5 + √17).
Hence, the exact values of the sine and cosine given are -(1/2) √(5 + √17) and 9/25.
Learn more about sine and the cosine of an angle, click;
https://brainly.com/question/3827723
#SPJ2
OAB is a minor sector of the circle below. The
circumference of the circle is 65 cm.
Calculate the length of the minor arc AB.
Give your answer in centimetres (cm) and give any
decimal answers to 1 d.p.
A+
72°
circumference = 65 cm
B
cm
After answering the provided question, we can conclude that Therefore, circle the length of the minor arc AB is approximately 50.9 cm.
What is circle?A circle appears to be an a double component that is defined as the collection of all points in a jet that are equidistant out from hub. A circle is typically depicted with a capital "O" for the centre and a bottom end "r" for the radius, which represents the distance from where it started to any point on the circle. The formula 2r gives the girth (the distance from the center of the circle), where (pi) seems to be a proportionality steady roughly equal to 3.14159. The formula r2 computes the circumference of a circle, which is the quantity of space inside the circle. To calculate the length of the minor arc AB, we need to first find the central angle that it subtends.
C = 2πr
r = C/(2π)
r = 65/(2π) ≈ 10.34 cm
angle = (arc length / radius) x (180/π)
ADB = 360° - AOB
ADB = 360° - 72° = 288°
angle ADB = (arc length AB / 10.34) x (180/π) = 288°
arc length AB = (288° x 10.34 cm x π) / 180 ≈ 50.9 cm
Therefore, the length of the minor arc AB is approximately 50.9 cm.
To know more about circle visit:
brainly.com/question/29142813
#SPJ1
help meee please for a lot of points it gotta be to answer choices
Answer:
B and D
Step-by-step explanation: I got it right
can somebody PLEASE help me with this question i’m begging and i’ll give brainlist
The missing values are:
angle DGE = 45 degrees
angle EDG = 85 degrees
FD = 10
GD = 10√2
EG = (20 + 13√3) / 2
How to find the missing sidesThe missing sides in the figure is solved as follows
angle DGE = angle BAG = 45 degrees (alternate angles are equal)
angle EDG = angle ADC (vertical angles are equal)
angle ADC + 45 + 50 = 180 (sum of angles in a triangle)
angle ADC = 180 - 50 - 45
angle ADC = 85 degrees
Since DGE = 45 degrees and FG = 10
tan 45 = FD / FG
tan 45 = FD / 10
FD = 10
solving for GD
GD² = FD² + FG² = 10² + 10² = 200
GD = 10√2
solving for EG
EG = EF + FG
cos 50 = EF / 13
EF = 13 cos 50 = 13√3 / 2
EG = EF + FG = 13√3 / 2 + 10 = (20 + 13√3) / 2
Learn more about alternate angles at:
https://brainly.com/question/26167358
#SPJ1
Solve the following for θ, in radians, where 0≤θ<2π.
4sin2(θ)+7sin(θ)−5=0
Select all that apply:
2.57
1.37
1.05
2.35
0.58
1.88
Answer:θ ≈ 2.57 radians
θ ≈ 0.58 radians
Step-by-step explanation:We can solve this quadratic equation in sin(θ) by factoring:
4sin^2(θ) + 7sin(θ) - 5 = 0
(4sin(θ) - 1)(sin(θ) + 5) = 0
Therefore, either:
4sin(θ) - 1 = 0
sin(θ) = 1/4
or:
sin(θ) + 5 = 0
sin(θ) = -5 (not possible, since sin(θ) is between -1 and 1)
So, we have sin(θ) = 1/4. Since 0 ≤ θ < 2π, we can find the two solutions in the interval [0, 2π) by using the inverse sine function:
θ = arcsin(1/4)
Using a calculator, we find:
θ ≈ 0.2531 or θ ≈ 2.8887
Therefore, in radians, the solutions for θ are approximately:
0.2531 (which is less than 2π)
2.8887 (which is greater than 2π)
So the only answer that satisfies 0 ≤ θ < 2π is:
Take a look at the photo and please right an explanation for your answer
WILL SOMEONOE HELP ME WITH THIS SIMPLE GEOMETRY?
Answer:
Below
Step-by-step explanation:
If they are similar the ratios of their sides are similar
11 is similar to 43 as 8 is similar to OP
Set up a ratio of this statement:
11/43 = 8/OP then OP = 8 * 43/11 = 31.3 units
What is the vertex of the equation f(x)=-4(x+2)^2+1
Answer: (-2,1)
Step-by-step explanation:
Step-by-step explanation:
and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to
6) Sally traveled 352.5 miles on 13 gallons of gas. Set up and solve to proportion to find how many miles she can travel on 18 gallons of gas. Round your answer to the nearest whole number of gallons. Your answer
Answer:
add a gallon
Step-by-step explanation:
the three data sets show the number of text messages sent by jada, and diego, and lin over 6 days. one of the data sets has a mean of 4, one has a mean of 5, and one has a mean of 6.
1. which data set has which mean? what does this tell you about the text messages sent by the three students?
2. which data set has the greatest variabillity? Explain
1. Jada's data set has a mean of 5, Diego's data set has a mean of 6, and Lin's data set has a mean of 4.
2. The data set that has the greatest variability is Lin's data set because it has the highest standard deviation of 3.6.
How to calculate the mean for the set of data?In Mathematics and Geometry, the mean for this set of data can be calculated by using the following formula:
Mean = [F(x)]/n
Question 1.
In this scenario and exercise, we would determine the mean of the three data sets based on the number of text messages sent by Jada, and Diego, and Lin over 6 days as follows;
Mean number of text for Jada = (4 + 4 + 4 + 6 + 6 + 6)/6
Mean number of text for Jada = 30/6
Mean number of text for Jada = 5.
Mean number of text for Diego = (4 + 5 + 5 + 6 + 8 + 8)/6
Mean number of text for Diego = 36/6
Mean number of text for Diego = 6.
Mean number of text for Lin = (1 + 1 + 2 + 2 + 9 + 9)/6
Mean number of text for Lin = 24/6
Mean number of text for Lin = 4.
Question 2.
In Statistics, variability is a measure of the spread of a data set. Also, we would use standard deviation to determine the variability in each data set as follows;
Standard deviation = √(1/n × ∑(xi - u₁)²)
Standard deviation for Jada = √(1/6 × [(4 - 5)² + (4 - 5)² + (4 - 5)² + (6 - 5)² + (6 - 5)² + (6 - 5)²]
Standard deviation for Jada = √(6/6) = 1
Standard deviation for Diego = √(1/6 × [(4 - 6)² + (5 - 6)² + (5 - 6)² + (6 - 6)² + (8 - 6)² + (8 - 6)²]
Standard deviation for Diego = √(14/6) = 1.53
Standard deviation for Lin = √(1/6 × [(1 - 4)² + (1 - 4)² + (2 - 4)² + (2 - 4)² + (9 - 4)² + (9 - 4)²]
Standard deviation for Lin = √(76/6) = 3.6
Read more on mean here: brainly.com/question/9550536
#SPJ1
Missing information:
The question is incomplete and the complete question is shown in the attached picture.
A transponder for a toll bridge costs $17.50. With the transponder, the toll is $5 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $7.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?
Answer: you would need to cross the bridge 5 times
Step-by-step explanation:
costing a total of $42.50 for each option.
hope this helps
Pankaj is a Biomedical Engineering student. He plans to deposit $600 that he earned as stipend, in
a bank account at 3% rate of interest compounded weekly for no more than 2 years. The total
amount of the money, A, that Pankaj will get back, is a function of time, t. Which is a reasonable
domain of the money that he may accumulate?
The correct answer is A: 600 <= money <= 2822.4.
This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.
A college psychology class collected data for all 92 members of the class to determine if there was a relationship between handedness and taste patterns, as measured by food type preference. Here are the results.
A 4-column table with 3 rows titled Handedness and Food Preferences. Column 1 has entries sweet foods, sour foods, total. Column 2 is labeled left-handed with entries 20, 12, 32. Column 3 is labeled right-handed with entries 35, 25, 60. Column 4 is labeled total with entries 55, 37, 92.
Define the following events:
C = Left-Handed
D = Sweet Foods
Calculate the following:
P(C|D) =
P(Sweet Foods|Left-Handed) =
ANSWER IS
0.364
0.625
The probabilities, using it's concept, are given as follows:
P(C|D) = 4/11.P(Sweet Foods|Left-Handed) = 5/8.How to obtain a probability?The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.
For the probability P(C|D), the outcomes are given as follows:
Desired outcomes: Left-handed and prefer sweet foods -> 20 people.Total outcomes: Prefer sweet foods -> 55 people.Hence the probability is:
P(C|D) = 20/55 = 4/11.
For the probability P(D|C), the outcomes are given as follows:
Desired outcomes: Left-handed and prefer sweet foods -> 20 people.Total outcomes: Left-handed people -> 32 people.Hence the probability is:
P(Sweet Foods|Left-Handed) = 20/32 = 5/8.
More can be learned about probabilities at brainly.com/question/14398287
#SPJ1
Answer:
0.364
0.625
Step-by-step explanation:
A number divided by 4 plus 3 is 8
Answer:
\(number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you\)
Answer:
\(let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped\)
The Smith family pays a rate of 27 mills in property tax. The assessed value of their home is $98,000. What is their property tax?
Their property tax would be =$ 26,460
Calculation of property taxA mill is one-thousandth of a dollar, and in property tax terms is equal to $1.00 of tax for each.
Therefore 27 mills = $27 for every $1,000 of assessed value, or 2.7%.
To calculate the property tax would
= 27/100× 98,000
= 2646000/100
=$ 26,460
Therefore, Their property tax would be =$ 26,460
Learn more about percentage here:
https://brainly.com/question/24304697
#SPJ1
I don’t understand this .
Answer:it’s b because can fold into the shape
Step-by-step explanation:
100 points will mark brainliest
Answer:
A is the answer
Step-by-step explanation:
if its wrong than its C