The question is an illustration of a linear equation
The y-intercept is 40The slope is 4The equation of the line is \(y =4x + 40\)You pay the distributor after 1 chargeYou pay $750,000 for 177.5 streams(a) How to calculate the y-interceptFrom the question, we have the following parameters:
Cost of distribution: $40.00Rate = $4.00 per unitThe cost of distribution represents the y-intercept, while the rate represents the slope.
Hence, the y-intercept is 40
(b) How to calculate the slopeIn (a), we have:
The rate represents the slope.
Hence, the slope is 4
(c) The equation of the lineA linear equation is represented as:
\(y = mx + b\)
Where:
m represents the slopeb represents the y-interceptUsing the results in (a) and (b), the linear equation is:
\(y =4x + 40\)
See attachment for the graph of the equation
(c) The number of streams you pay the distributorFrom the graph, we can see that the line touches the x-axis at the negative x-axis.
This means that, you pay the distributor after 1 charge
(d) The number of streams to pay $750,000This means that: y = 750.
So, we have:
\(y =4x + 40\)
\(750 = 4x + 40\)
Subtract 40 from both sides
\(4x = 710\)
Divide both sides by 4
\(x = 177.5\)
Hence, you pay $750,000 for 177.5 streams
Read more about linear equations at:
https://brainly.com/question/14323743
3. The customs duty on an imported vehide is 45% of imported price. (a) Calculate the customs duty опа car for which the imported price. is $3000 000. of a mini (6) Calculate the imported price bus if the amount paid induding customs duty TS $1560 000. ES
a) The customs duty on the car would be $1,350,000.
b) The imported price of the bus would be $858,000.
(a) To calculate the customs duty on a car with an imported price of $3,000,000, we can multiply the imported price by the duty rate of 45%:
Customs duty = $3,000,000 * 0.45 = $1,350,000.
(b) To calculate the imported price of a bus if the amount paid, including customs duty, is $1,560,000, we need to determine the portion of the total amount that represents the customs duty. Since the customs duty is 45% of the imported price, we can set up the following equation:
Customs duty = $1,560,000 * 0.45.
Solving for the customs duty:
Customs duty = $702,000.
Now, we can subtract the customs duty from the total amount to find the imported price:
Imported price = $1,560,000 - $702,000 = $858,000.
In summary, the customs duty on a car with an imported price of $3,000,000 would be $1,350,000. On the other hand, if the amount paid for a bus, including customs duty, is $1,560,000, the imported price of the bus would be $858,000.
for more such questions on equation
https://brainly.com/question/22688504
#SPJ8
A box contains 2 red marbles, 5 green marbles and 8 blue marbles. Find the probability of the different events.
P ( 3 blue ) =
P (blue & green)
The value of the probability of the different events are,
The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
We have to given that;
A box contains 2 red marbles, 5 green marbles and 8 blue marbles.
Hence, Total marbles = 2 + 5 + 8 = 15
So, The value of the probability P (3) is,
⇒ 3 / 15
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/15 x 5/15
⇒ 8/15 x 1/3
⇒ 8 / 45
Thus, The value of the probability P (3) is,
⇒ 1 / 5
And, The value of the probability P (blue & green) is,
⇒ 8/45
Learn more about the probability visit:
https://brainly.com/question/13604758
#SPJ1
No, Δ A B C and ΔD C B aren't congruent because they share a side.
Yes, ΔABC and ΔDCB can be proven congruent by HL.
Yes, Δ A B C and Δ D C B can be proven congruent by SSS.
No, there isn't enough information because only two pairs of corresponding sides can't be used to prove that two triangles are congruent.
The additional information is required in order that the triangles are congruent is (c) Yes, Δ A B C and Δ D C B can be proven congruent by SSS.
How to determine the additional information?From the question, we have the following parameters that can be used in our computation:
Triangles = The two triangles
The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent
From the question, we can see that the following corresponding sides on the triangles have the same mark
Two parallel sides with mark ||The similar side on the trianglesThis implies that these sides are congruent sides
For the triangle to be congruent by SSS, the following sides must also be congruent
The other parallel sides
Hence, the additional information on the congruency of the triangles is (c)
Read more about congruent triangles at
brainly.com/question/1675117
#SPJ1
share 50 in the ratio 3:7
Answer:
Step-by-step explanation:This Ratio Division Calculator allows you to divide an amount by a specific ratio. ... Alternatively, you can enter separate ratios for multi share ratio split of the ... 50% is a ratio expressed as a percentage; ½ is a ratio expressed as a fraction.
In the ratio of 3:7, the numbers are 15 and 35.
What is the ratio?A ratio is a numerical relationship showing how often one value includes or is included inside another. It is used to compare two numbers.
Given:
A ratio of 3:7.
To share 50 in the ratio 3:7;
\(= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}\)
\(= 50\cdot\frac{3}{3+7} \ {and}\ {50\cdot\frac{7}{3+7}\)
= \(50\cdot\frac{3}{10} \ {and}\ {50\cdot\frac{7}{10}\)
= 5 x 3 and 5 x 7
= 15 and 35
Therefore, the numbers are 15 and 35.
To learn more about the ratio;
https://brainly.com/question/13419413
#SPJ2
I need help please. .
Answer:
i think c
Step-by-step explanation:
4÷ 1/4 some one please help me
Answer:
16
Step-by-step explanation:
Whenever you divide with a fraction, you will change the division sign, and flip the right side's fraction over. Note that if it is a whole number, it is technically x/1 (x signifying as whatever the number is).
Divide:
4 ÷ 1/4 = 4 * 4 = 16
16 is your answer.
~
Can anyone help???????
Answer:
80
Step-by-step explanation:
For every additional 10 hrs, you get 200 more dollars.
2. Write the absolute value of the following. a) | -6 -3 | . b) | 0 - 12 |.
Answer:
a)9. b) 12
Step-by-step explanation:
a) | -6 -3 | .
-6-3 = -9
|-9| =9
b) | 0 - 12 |.
0-12=-12
|-12|=12
$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29
There where 10 black bears in an area. Some years later there where 17 black bears in the area what is the percentage gain
Q/ evaluate.
(27) 2 over 3
Add quotation marks to the
sentence.
Take out your pencil, said
the teacher.
Step-by-step explanation:
Sort the polynomials according to whether they are prime or non-prime.
Prime Polynomials
6x³-5x²+2x-14
12-18+8²-12
6x² +9x2 +10x+15
12x²-3x+4x+7
Non-Prime Polynomials
Answer: first, second and fourth are primes, the third is not-prime.
Hope it helps :)
Pleasee help!! “It costs $2.75 to buy 3/4 lb of grapes. How much would it cost to purchase 9.5 lbs of grapes? Explain or show your reasoning.”
Answer:
$34.83
Step-by-step explanation:
First convert 3/4 to decimal form: 3/4 = 0.75
Create a proportion using similar rates:
$2.75 / 0.75 lb = x / 9.5 lb
where "x" represents the price of the 9.5 lbs of grapes we need to find.
Solve for x by multiplying both sides by 9.5 lb to isolate x completely
2.75 * 9.5 / 0.75 = x
Therefore x = $34.83
3. What is the measure of angle B from the right triangle below?
Answer:
angle B = 78.46°
Step-by-step explanation:
Use the cosine ratio
\(cosB=\frac{2}{10} =0.2\)
\(B=cos^{-1} (0.2)=78.46^{0}\)
Hope this helps
Question 14 (Essay Worth 12 points)
(Comparing Data HC)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Sky View School
9, 7, 2,0
8, 7, 6, 5, 5, 5, 4, 3, 1, 0
0
1
South Lake School
5,8
0, 1, 2, 6, 6, 8
2
0 3
Key: 2|1|0 means 12 for Sky View and 10 for South Lake
5, 5, 6, 7, 8
0,6
Part A: Calculate the measures of center. Show all work. (5 points)
Part B: Calculate the measures of variability. Show all work. (5 points)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (2 points)
7
Which of the following ordered pairs represents a solution to the equation below?
y = -2x-1
Choose 1 answer:
(-2,2)
(-1,0)
(0, -3)
(1,-4)
(2, -5)
Answer:
(2,-5)
Step-by-step explanation:
To solve this, simply substitute the values for x and y. The only one that works is (2,-5).
-5 = -2(2) -1
-5 = -4 - 1
-5 = -5
based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ1
If you flip a coin 92 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2. Each is 1/2 x 1/2 = 1/4.
Step-by-step explanation:
Answer:
1/4 of 92 = 23 Hope this helps
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
Learn more about the total Surface Area of the Cone :
https://brainly.com/question/15153049
The entire graph of the function fis shown in the figure below.
Write the domain and range of fusing interval notation.
(a) domain=
(B) range=
The domain and the range of the function are given as follows:
a) Domain: -3 ≤ x < 4.
b) Range: -4 < y ≤ 5.
What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In a graph:
The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.Hence, for the graphed function:
a) Domain: -3 ≤ x < 4.
b) Range: -4 < y ≤ 5.
More can be learned about the domain and the range of a function at https://brainly.com/question/10197594
#SPJ1
Find the slope from the table.
Answer:
m=0
Step-by-step explanation:
the slope is calculated using two points on the line and the formula
m = (y2 - y1) ÷ (x2 - x1)
where
x1 and y1 are the coordinates of point 1
x2 and y2 are the coordinates of point 2
for example, you can take
point 1 = (x1;y1) = (-2;3)
point 2 = (x2;y2) = (-1;3)
then your slope is
m = (3 - 3) ÷ (-1 - (-2)) = 0
notice that x1 is always at the left of x2 on the x axis
and it makes sense that your slope is 0 because for each x your y is the same
Aflați raza discului care are aria egală cu: 36π cm²; 81π cm²
Answer:
1: 6cm, 2: 9cm
Step-by-step explanation:
area = pi (radius^2), so if the area of 1 is 36pi, then the radius is 6cm. Similarly, the answer to 2 is 9cm.
If a box of chocolate costs $8.00 and weighs 1 lb.
what is the cost per ounce?
Answer:
$0.50 per ounce
Step-by-step explanation:
To find the cost per ounce of the chocolate, you will need to divide the price of the box by the weight of the box in ounces. Since there are 16 ounces in a pound, the weight of the box in ounces is 1 * 16 = <<1*16=16>>16 ounces.
To find the cost per ounce, divide the price of the box by the weight of the box in ounces: $8.00 / 16 ounces = $0.50 per ounce.
Therefore, the cost per ounce of the chocolate is $0.50.
How do you know that there exists a real number x>0 such that x^2 = 3?
no answer needed, just take the points.
Answer:0x0
Step-by-step explanation: there will have to be a number as its infinite numbers apparently
Answer:
Thought I would show you that my question you commented on was incomplete like I said, thanks for the points though.
Step-by-step explanation:
Which benchmark fraction is
Please help I’m stuck
Hello,
Step-by-step explanation:
6/7 ≈ 0,857
we have 4/4 = 1 and 3/4 = 0,75
| 0,75 - 0,857| = 0,107
| 1 - 0,857 | = 0,143
→ Answer is 3/4
Answer:
the bench mark is 1/4 and the lower range is 3/4.
Step-by-step explanation:
Estimate the fraction 6/7 using 1/4 as our benchmark: Display the fraction bar for 6/7 The lower range is 3/4 and the upper range is 1
2. When an adult is physically active, suppose the amount of water they will consume is normally distributed with an average of 20 ounces of water with a standard deviation of 7 ounces. If 10 adults are physically active, what is the probability that the average water consumed by them is less than 18 ounces? (note that we are working with a sampling distribution in this question). Report to 5 decimal positions
Using the normal distribution and the central limit theorem, it is found that there is a 0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
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 \(s = \frac{\sigma}{\sqrt{n}}\).For the population, the mean and the standard deviation are, respectively, given by \(\mu = 20, \sigma = 7\).
For samples of n = 10, the standard error is given by:
\(s = \frac{7}{\sqrt{10}} = 2.2136\)
The probability that the average water consumed by them is less than 18 ounces is the p-value of Z when X = 18, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{18 - 20}{2.2136}\)
Z = -0.9.
Z = -0.9 has a p-value of 0.18406.
0.18406 = 18.406% probability that the average water consumed by them is less than 18 ounces.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
for a logistic regression model estimated as
P(personal loan=yes\income=x0=1\1+e6.3525--.0392x
The probability of accepting a personal loan offer for an individual with an income of 50,000 dollars (x=50) is 1.22%
The Odds of accepting the loan offer for this person is 0.0124
Question:
What is the odds ration of income? Round it to 5 decimal places.
a. 1.03998
b. 0.96156
c. Cannot be determined
The odds ratio of income is 1.00320, rounded to 5 decimal places.
The odds ratio of income can be calculated using the formula given below:
odds ratio = odds of personal loan when income increases by 1 unit
Odds of a personal loan is the ratio of probability of acceptance to probability of rejection.
Odds of personal loan = P(personal loan=yes) / P(personal loan=no)P(personal loan=yes) = 0.0122
P(personal loan=no) = 1 - P(personal loan=yes) = 0.9878
Odds of personal loan = 0.0122 / 0.9878 = 0.0124
The logistic regression model estimated as P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x))
Hence, P(personal loan=yes|income=x) = 1 / (1 + e(-6.3525+0.0392x)) = 0.0122
P(personal loan=yes|income=x+1) = 1 / (1 + e(-6.3525+0.0392(x+1))) = 0.012414
We have, odds ratio = odds of personal loan when income increases by 1 unit
odds ratio = 0.012414 / 0.0124 = 1.0032 ≈ 1.00320
Round the answer to 5 decimal places = 1.00320
The odds ratio of income is 1.00320, rounded to 5 decimal places.
for such more question on odds ratio
https://brainly.com/question/24223396
#SPJ11
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
Read more on graphs:
https://brainly.com/question/19040584
#SPJ1
P=x-2 ÷ x+1 for what value of x is P undefined
Answer:
x = - 1
Step-by-step explanation:
P = \(\frac{x-2}{x+1}\)
the denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.
x + 1 = 0 ( subtract 1 from both sides )
x = - 1
P is undefined when x = - 1